1,1,569,0,0.981619," ","integrate((b*g*x+a*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} + 12 \, B a^{5} d^{5} g^{4} n \log\left(b x + a\right) - 12 \, {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} g^{4} n \log\left(d x + c\right) + 3 \, {\left(20 \, A a b^{4} d^{5} g^{4} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{4} n\right)} x^{4} + 4 \, {\left(30 \, A a^{2} b^{3} d^{5} g^{4} + {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} + 4 \, B a^{2} b^{3} d^{5}\right)} g^{4} n\right)} x^{3} + 6 \, {\left(20 \, A a^{3} b^{2} d^{5} g^{4} - {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} - 6 \, B a^{3} b^{2} d^{5}\right)} g^{4} n\right)} x^{2} + 12 \, {\left(5 \, A a^{4} b d^{5} g^{4} + {\left(B b^{5} c^{4} d - 5 \, B a b^{4} c^{3} d^{2} + 10 \, B a^{2} b^{3} c^{2} d^{3} - 10 \, B a^{3} b^{2} c d^{4} + 4 \, B a^{4} b d^{5}\right)} g^{4} n\right)} x + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B a b^{4} d^{5} g^{4} x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} x^{2} + 5 \, B a^{4} b d^{5} g^{4} x\right)} \log\left(e\right) + 12 \, {\left(B b^{5} d^{5} g^{4} n x^{5} + 5 \, B a b^{4} d^{5} g^{4} n x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} n x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} n x^{2} + 5 \, B a^{4} b d^{5} g^{4} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{60 \, b d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 + 12*B*a^5*d^5*g^4*n*log(b*x + a) - 12*(B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*g^4*n*log(d*x + c) + 3*(20*A*a*b^4*d^5*g^4 - (B*b^5*c*d^4 - B*a*b^4*d^5)*g^4*n)*x^4 + 4*(30*A*a^2*b^3*d^5*g^4 + (B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 + 4*B*a^2*b^3*d^5)*g^4*n)*x^3 + 6*(20*A*a^3*b^2*d^5*g^4 - (B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 - 6*B*a^3*b^2*d^5)*g^4*n)*x^2 + 12*(5*A*a^4*b*d^5*g^4 + (B*b^5*c^4*d - 5*B*a*b^4*c^3*d^2 + 10*B*a^2*b^3*c^2*d^3 - 10*B*a^3*b^2*c*d^4 + 4*B*a^4*b*d^5)*g^4*n)*x + 12*(B*b^5*d^5*g^4*x^5 + 5*B*a*b^4*d^5*g^4*x^4 + 10*B*a^2*b^3*d^5*g^4*x^3 + 10*B*a^3*b^2*d^5*g^4*x^2 + 5*B*a^4*b*d^5*g^4*x)*log(e) + 12*(B*b^5*d^5*g^4*n*x^5 + 5*B*a*b^4*d^5*g^4*n*x^4 + 10*B*a^2*b^3*d^5*g^4*n*x^3 + 10*B*a^3*b^2*d^5*g^4*n*x^2 + 5*B*a^4*b*d^5*g^4*n*x)*log((b*x + a)/(d*x + c)))/(b*d^5)","B",0
2,1,426,0,0.529866," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} + 6 \, B a^{4} d^{4} g^{3} n \log\left(b x + a\right) + 6 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} g^{3} n \log\left(d x + c\right) + 2 \, {\left(12 \, A a b^{3} d^{4} g^{3} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{3} n\right)} x^{3} + 3 \, {\left(12 \, A a^{2} b^{2} d^{4} g^{3} + {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} + 3 \, B a^{2} b^{2} d^{4}\right)} g^{3} n\right)} x^{2} + 6 \, {\left(4 \, A a^{3} b d^{4} g^{3} - {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} - 3 \, B a^{3} b d^{4}\right)} g^{3} n\right)} x + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B a b^{3} d^{4} g^{3} x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} x^{2} + 4 \, B a^{3} b d^{4} g^{3} x\right)} \log\left(e\right) + 6 \, {\left(B b^{4} d^{4} g^{3} n x^{4} + 4 \, B a b^{3} d^{4} g^{3} n x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} n x^{2} + 4 \, B a^{3} b d^{4} g^{3} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{24 \, b d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 + 6*B*a^4*d^4*g^3*n*log(b*x + a) + 6*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*g^3*n*log(d*x + c) + 2*(12*A*a*b^3*d^4*g^3 - (B*b^4*c*d^3 - B*a*b^3*d^4)*g^3*n)*x^3 + 3*(12*A*a^2*b^2*d^4*g^3 + (B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 + 3*B*a^2*b^2*d^4)*g^3*n)*x^2 + 6*(4*A*a^3*b*d^4*g^3 - (B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 - 3*B*a^3*b*d^4)*g^3*n)*x + 6*(B*b^4*d^4*g^3*x^4 + 4*B*a*b^3*d^4*g^3*x^3 + 6*B*a^2*b^2*d^4*g^3*x^2 + 4*B*a^3*b*d^4*g^3*x)*log(e) + 6*(B*b^4*d^4*g^3*n*x^4 + 4*B*a*b^3*d^4*g^3*n*x^3 + 6*B*a^2*b^2*d^4*g^3*n*x^2 + 4*B*a^3*b*d^4*g^3*n*x)*log((b*x + a)/(d*x + c)))/(b*d^4)","B",0
3,1,296,0,0.484289," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} + 2 \, B a^{3} d^{3} g^{2} n \log\left(b x + a\right) - 2 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} g^{2} n \log\left(d x + c\right) + {\left(6 \, A a b^{2} d^{3} g^{2} - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g^{2} n\right)} x^{2} + 2 \, {\left(3 \, A a^{2} b d^{3} g^{2} + {\left(B b^{3} c^{2} d - 3 \, B a b^{2} c d^{2} + 2 \, B a^{2} b d^{3}\right)} g^{2} n\right)} x + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B a b^{2} d^{3} g^{2} x^{2} + 3 \, B a^{2} b d^{3} g^{2} x\right)} \log\left(e\right) + 2 \, {\left(B b^{3} d^{3} g^{2} n x^{3} + 3 \, B a b^{2} d^{3} g^{2} n x^{2} + 3 \, B a^{2} b d^{3} g^{2} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{6 \, b d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 + 2*B*a^3*d^3*g^2*n*log(b*x + a) - 2*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*g^2*n*log(d*x + c) + (6*A*a*b^2*d^3*g^2 - (B*b^3*c*d^2 - B*a*b^2*d^3)*g^2*n)*x^2 + 2*(3*A*a^2*b*d^3*g^2 + (B*b^3*c^2*d - 3*B*a*b^2*c*d^2 + 2*B*a^2*b*d^3)*g^2*n)*x + 2*(B*b^3*d^3*g^2*x^3 + 3*B*a*b^2*d^3*g^2*x^2 + 3*B*a^2*b*d^3*g^2*x)*log(e) + 2*(B*b^3*d^3*g^2*n*x^3 + 3*B*a*b^2*d^3*g^2*n*x^2 + 3*B*a^2*b*d^3*g^2*n*x)*log((b*x + a)/(d*x + c)))/(b*d^3)","B",0
4,1,160,0,0.443108," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + B a^{2} d^{2} g n \log\left(b x + a\right) + {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} g n \log\left(d x + c\right) + {\left(2 \, A a b d^{2} g - {\left(B b^{2} c d - B a b d^{2}\right)} g n\right)} x + {\left(B b^{2} d^{2} g x^{2} + 2 \, B a b d^{2} g x\right)} \log\left(e\right) + {\left(B b^{2} d^{2} g n x^{2} + 2 \, B a b d^{2} g n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + B*a^2*d^2*g*n*log(b*x + a) + (B*b^2*c^2 - 2*B*a*b*c*d)*g*n*log(d*x + c) + (2*A*a*b*d^2*g - (B*b^2*c*d - B*a*b*d^2)*g*n)*x + (B*b^2*d^2*g*x^2 + 2*B*a*b*d^2*g*x)*log(e) + (B*b^2*d^2*g*n*x^2 + 2*B*a*b*d^2*g*n*x)*log((b*x + a)/(d*x + c)))/(b*d^2)","A",0
5,0,0,0,0.419559," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}{b g x + a g}, x\right)"," ",0,"integral((B*log(e*((b*x + a)/(d*x + c))^n) + A)/(b*g*x + a*g), x)","F",0
6,1,103,0,0.448021," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{A b c - A a d + {\left(B b c - B a d\right)} n + {\left(B b c - B a d\right)} \log\left(e\right) + {\left(B b d n x + B b c n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-(A*b*c - A*a*d + (B*b*c - B*a*d)*n + (B*b*c - B*a*d)*log(e) + (B*b*d*n*x + B*b*c*n)*log((b*x + a)/(d*x + c)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
7,1,265,0,0.451183," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{2 \, A b^{2} c^{2} - 4 \, A a b c d + 2 \, A a^{2} d^{2} - 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} n x + {\left(B b^{2} c^{2} - 4 \, B a b c d + 3 \, B a^{2} d^{2}\right)} n + 2 \, {\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} \log\left(e\right) - 2 \, {\left(B b^{2} d^{2} n x^{2} + 2 \, B a b d^{2} n x - {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*(2*A*b^2*c^2 - 4*A*a*b*c*d + 2*A*a^2*d^2 - 2*(B*b^2*c*d - B*a*b*d^2)*n*x + (B*b^2*c^2 - 4*B*a*b*c*d + 3*B*a^2*d^2)*n + 2*(B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*log(e) - 2*(B*b^2*d^2*n*x^2 + 2*B*a*b*d^2*n*x - (B*b^2*c^2 - 2*B*a*b*c*d)*n)*log((b*x + a)/(d*x + c)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
8,1,482,0,0.438342," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{6 \, A b^{3} c^{3} - 18 \, A a b^{2} c^{2} d + 18 \, A a^{2} b c d^{2} - 6 \, A a^{3} d^{3} + 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} n x + {\left(2 \, B b^{3} c^{3} - 9 \, B a b^{2} c^{2} d + 18 \, B a^{2} b c d^{2} - 11 \, B a^{3} d^{3}\right)} n + 6 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2} - B a^{3} d^{3}\right)} \log\left(e\right) + 6 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B a b^{2} d^{3} n x^{2} + 3 \, B a^{2} b d^{3} n x + {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{18 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/18*(6*A*b^3*c^3 - 18*A*a*b^2*c^2*d + 18*A*a^2*b*c*d^2 - 6*A*a^3*d^3 + 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*n*x^2 - 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*n*x + (2*B*b^3*c^3 - 9*B*a*b^2*c^2*d + 18*B*a^2*b*c*d^2 - 11*B*a^3*d^3)*n + 6*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2 - B*a^3*d^3)*log(e) + 6*(B*b^3*d^3*n*x^3 + 3*B*a*b^2*d^3*n*x^2 + 3*B*a^2*b*d^3*n*x + (B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*n)*log((b*x + a)/(d*x + c)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
9,1,733,0,0.449060," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{12 \, A b^{4} c^{4} - 48 \, A a b^{3} c^{3} d + 72 \, A a^{2} b^{2} c^{2} d^{2} - 48 \, A a^{3} b c d^{3} + 12 \, A a^{4} d^{4} - 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} n x^{3} + 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} n x + {\left(3 \, B b^{4} c^{4} - 16 \, B a b^{3} c^{3} d + 36 \, B a^{2} b^{2} c^{2} d^{2} - 48 \, B a^{3} b c d^{3} + 25 \, B a^{4} d^{4}\right)} n + 12 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3} + B a^{4} d^{4}\right)} \log\left(e\right) - 12 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B a b^{3} d^{4} n x^{3} + 6 \, B a^{2} b^{2} d^{4} n x^{2} + 4 \, B a^{3} b d^{4} n x - {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{48 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/48*(12*A*b^4*c^4 - 48*A*a*b^3*c^3*d + 72*A*a^2*b^2*c^2*d^2 - 48*A*a^3*b*c*d^3 + 12*A*a^4*d^4 - 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*n*x^3 + 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*n*x^2 - 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*n*x + (3*B*b^4*c^4 - 16*B*a*b^3*c^3*d + 36*B*a^2*b^2*c^2*d^2 - 48*B*a^3*b*c*d^3 + 25*B*a^4*d^4)*n + 12*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3 + B*a^4*d^4)*log(e) - 12*(B*b^4*d^4*n*x^4 + 4*B*a*b^3*d^4*n*x^3 + 6*B*a^2*b^2*d^4*n*x^2 + 4*B*a^3*b*d^4*n*x - (B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*n)*log((b*x + a)/(d*x + c)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
10,0,0,0,0.434597," ","integrate((b*g*x+a*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{4} g^{4} x^{4} + 4 \, A^{2} a b^{3} g^{4} x^{3} + 6 \, A^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, A^{2} a^{3} b g^{4} x + A^{2} a^{4} g^{4} + {\left(B^{2} b^{4} g^{4} x^{4} + 4 \, B^{2} a b^{3} g^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, B^{2} a^{3} b g^{4} x + B^{2} a^{4} g^{4}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B b^{4} g^{4} x^{4} + 4 \, A B a b^{3} g^{4} x^{3} + 6 \, A B a^{2} b^{2} g^{4} x^{2} + 4 \, A B a^{3} b g^{4} x + A B a^{4} g^{4}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*b^4*g^4*x^4 + 4*A^2*a*b^3*g^4*x^3 + 6*A^2*a^2*b^2*g^4*x^2 + 4*A^2*a^3*b*g^4*x + A^2*a^4*g^4 + (B^2*b^4*g^4*x^4 + 4*B^2*a*b^3*g^4*x^3 + 6*B^2*a^2*b^2*g^4*x^2 + 4*B^2*a^3*b*g^4*x + B^2*a^4*g^4)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*b^4*g^4*x^4 + 4*A*B*a*b^3*g^4*x^3 + 6*A*B*a^2*b^2*g^4*x^2 + 4*A*B*a^3*b*g^4*x + A*B*a^4*g^4)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
11,0,0,0,0.433804," ","integrate((b*g*x+a*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
12,0,0,0,0.428800," ","integrate((b*g*x+a*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
13,0,0,0,0.424868," ","integrate((b*g*x+a*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*b*g*x + A*B*a*g)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
14,0,0,0,0.420572," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{b g x + a g}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(b*g*x + a*g), x)","F",0
15,1,258,0,0.427268," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{A^{2} b c - A^{2} a d + 2 \, {\left(B^{2} b c - B^{2} a d\right)} n^{2} + {\left(B^{2} b c - B^{2} a d\right)} \log\left(e\right)^{2} + {\left(B^{2} b d n^{2} x + B^{2} b c n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 2 \, {\left(A B b c - A B a d\right)} n + 2 \, {\left(A B b c - A B a d + {\left(B^{2} b c - B^{2} a d\right)} n + {\left(B^{2} b d n x + B^{2} b c n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 2 \, {\left(B^{2} b c n^{2} + A B b c n + {\left(B^{2} b d n^{2} + A B b d n\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-(A^2*b*c - A^2*a*d + 2*(B^2*b*c - B^2*a*d)*n^2 + (B^2*b*c - B^2*a*d)*log(e)^2 + (B^2*b*d*n^2*x + B^2*b*c*n^2)*log((b*x + a)/(d*x + c))^2 + 2*(A*B*b*c - A*B*a*d)*n + 2*(A*B*b*c - A*B*a*d + (B^2*b*c - B^2*a*d)*n + (B^2*b*d*n*x + B^2*b*c*n)*log((b*x + a)/(d*x + c)))*log(e) + 2*(B^2*b*c*n^2 + A*B*b*c*n + (B^2*b*d*n^2 + A*B*b*d*n)*x)*log((b*x + a)/(d*x + c)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
16,1,651,0,0.440777," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{2 \, A^{2} b^{2} c^{2} - 4 \, A^{2} a b c d + 2 \, A^{2} a^{2} d^{2} + {\left(B^{2} b^{2} c^{2} - 8 \, B^{2} a b c d + 7 \, B^{2} a^{2} d^{2}\right)} n^{2} + 2 \, {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d + B^{2} a^{2} d^{2}\right)} \log\left(e\right)^{2} - 2 \, {\left(B^{2} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{2} a b d^{2} n^{2} x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 2 \, {\left(A B b^{2} c^{2} - 4 \, A B a b c d + 3 \, A B a^{2} d^{2}\right)} n - 2 \, {\left(3 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n^{2} + 2 \, {\left(A B b^{2} c d - A B a b d^{2}\right)} n\right)} x + 2 \, {\left(2 \, A B b^{2} c^{2} - 4 \, A B a b c d + 2 \, A B a^{2} d^{2} - 2 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n x + {\left(B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d + 3 \, B^{2} a^{2} d^{2}\right)} n - 2 \, {\left(B^{2} b^{2} d^{2} n x^{2} + 2 \, B^{2} a b d^{2} n x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 2 \, {\left({\left(B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{2} b^{2} d^{2} n^{2} + 2 \, A B b^{2} d^{2} n\right)} x^{2} + 2 \, {\left(A B b^{2} c^{2} - 2 \, A B a b c d\right)} n - 2 \, {\left(2 \, A B a b d^{2} n + {\left(B^{2} b^{2} c d + 2 \, B^{2} a b d^{2}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*(2*A^2*b^2*c^2 - 4*A^2*a*b*c*d + 2*A^2*a^2*d^2 + (B^2*b^2*c^2 - 8*B^2*a*b*c*d + 7*B^2*a^2*d^2)*n^2 + 2*(B^2*b^2*c^2 - 2*B^2*a*b*c*d + B^2*a^2*d^2)*log(e)^2 - 2*(B^2*b^2*d^2*n^2*x^2 + 2*B^2*a*b*d^2*n^2*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n^2)*log((b*x + a)/(d*x + c))^2 + 2*(A*B*b^2*c^2 - 4*A*B*a*b*c*d + 3*A*B*a^2*d^2)*n - 2*(3*(B^2*b^2*c*d - B^2*a*b*d^2)*n^2 + 2*(A*B*b^2*c*d - A*B*a*b*d^2)*n)*x + 2*(2*A*B*b^2*c^2 - 4*A*B*a*b*c*d + 2*A*B*a^2*d^2 - 2*(B^2*b^2*c*d - B^2*a*b*d^2)*n*x + (B^2*b^2*c^2 - 4*B^2*a*b*c*d + 3*B^2*a^2*d^2)*n - 2*(B^2*b^2*d^2*n*x^2 + 2*B^2*a*b*d^2*n*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n)*log((b*x + a)/(d*x + c)))*log(e) + 2*((B^2*b^2*c^2 - 4*B^2*a*b*c*d)*n^2 - (3*B^2*b^2*d^2*n^2 + 2*A*B*b^2*d^2*n)*x^2 + 2*(A*B*b^2*c^2 - 2*A*B*a*b*c*d)*n - 2*(2*A*B*a*b*d^2*n + (B^2*b^2*c*d + 2*B^2*a*b*d^2)*n^2)*x)*log((b*x + a)/(d*x + c)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","B",0
17,1,1164,0,0.472290," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{18 \, A^{2} b^{3} c^{3} - 54 \, A^{2} a b^{2} c^{2} d + 54 \, A^{2} a^{2} b c d^{2} - 18 \, A^{2} a^{3} d^{3} + {\left(4 \, B^{2} b^{3} c^{3} - 27 \, B^{2} a b^{2} c^{2} d + 108 \, B^{2} a^{2} b c d^{2} - 85 \, B^{2} a^{3} d^{3}\right)} n^{2} + 6 \, {\left(11 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n^{2} + 6 \, {\left(A B b^{3} c d^{2} - A B a b^{2} d^{3}\right)} n\right)} x^{2} + 18 \, {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2} - B^{2} a^{3} d^{3}\right)} \log\left(e\right)^{2} + 18 \, {\left(B^{2} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{2} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{2} a^{2} b d^{3} n^{2} x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 6 \, {\left(2 \, A B b^{3} c^{3} - 9 \, A B a b^{2} c^{2} d + 18 \, A B a^{2} b c d^{2} - 11 \, A B a^{3} d^{3}\right)} n - 3 \, {\left({\left(5 \, B^{2} b^{3} c^{2} d - 54 \, B^{2} a b^{2} c d^{2} + 49 \, B^{2} a^{2} b d^{3}\right)} n^{2} + 6 \, {\left(A B b^{3} c^{2} d - 6 \, A B a b^{2} c d^{2} + 5 \, A B a^{2} b d^{3}\right)} n\right)} x + 6 \, {\left(6 \, A B b^{3} c^{3} - 18 \, A B a b^{2} c^{2} d + 18 \, A B a^{2} b c d^{2} - 6 \, A B a^{3} d^{3} + 6 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} + 5 \, B^{2} a^{2} b d^{3}\right)} n x + {\left(2 \, B^{2} b^{3} c^{3} - 9 \, B^{2} a b^{2} c^{2} d + 18 \, B^{2} a^{2} b c d^{2} - 11 \, B^{2} a^{3} d^{3}\right)} n + 6 \, {\left(B^{2} b^{3} d^{3} n x^{3} + 3 \, B^{2} a b^{2} d^{3} n x^{2} + 3 \, B^{2} a^{2} b d^{3} n x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 6 \, {\left({\left(11 \, B^{2} b^{3} d^{3} n^{2} + 6 \, A B b^{3} d^{3} n\right)} x^{3} + {\left(2 \, B^{2} b^{3} c^{3} - 9 \, B^{2} a b^{2} c^{2} d + 18 \, B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B a b^{2} d^{3} n + {\left(2 \, B^{2} b^{3} c d^{2} + 9 \, B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 6 \, {\left(A B b^{3} c^{3} - 3 \, A B a b^{2} c^{2} d + 3 \, A B a^{2} b c d^{2}\right)} n + 3 \, {\left(6 \, A B a^{2} b d^{3} n - {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} - 6 \, B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{54 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/54*(18*A^2*b^3*c^3 - 54*A^2*a*b^2*c^2*d + 54*A^2*a^2*b*c*d^2 - 18*A^2*a^3*d^3 + (4*B^2*b^3*c^3 - 27*B^2*a*b^2*c^2*d + 108*B^2*a^2*b*c*d^2 - 85*B^2*a^3*d^3)*n^2 + 6*(11*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n^2 + 6*(A*B*b^3*c*d^2 - A*B*a*b^2*d^3)*n)*x^2 + 18*(B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2 - B^2*a^3*d^3)*log(e)^2 + 18*(B^2*b^3*d^3*n^2*x^3 + 3*B^2*a*b^2*d^3*n^2*x^2 + 3*B^2*a^2*b*d^3*n^2*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n^2)*log((b*x + a)/(d*x + c))^2 + 6*(2*A*B*b^3*c^3 - 9*A*B*a*b^2*c^2*d + 18*A*B*a^2*b*c*d^2 - 11*A*B*a^3*d^3)*n - 3*((5*B^2*b^3*c^2*d - 54*B^2*a*b^2*c*d^2 + 49*B^2*a^2*b*d^3)*n^2 + 6*(A*B*b^3*c^2*d - 6*A*B*a*b^2*c*d^2 + 5*A*B*a^2*b*d^3)*n)*x + 6*(6*A*B*b^3*c^3 - 18*A*B*a*b^2*c^2*d + 18*A*B*a^2*b*c*d^2 - 6*A*B*a^3*d^3 + 6*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n*x^2 - 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 + 5*B^2*a^2*b*d^3)*n*x + (2*B^2*b^3*c^3 - 9*B^2*a*b^2*c^2*d + 18*B^2*a^2*b*c*d^2 - 11*B^2*a^3*d^3)*n + 6*(B^2*b^3*d^3*n*x^3 + 3*B^2*a*b^2*d^3*n*x^2 + 3*B^2*a^2*b*d^3*n*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n)*log((b*x + a)/(d*x + c)))*log(e) + 6*((11*B^2*b^3*d^3*n^2 + 6*A*B*b^3*d^3*n)*x^3 + (2*B^2*b^3*c^3 - 9*B^2*a*b^2*c^2*d + 18*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B*a*b^2*d^3*n + (2*B^2*b^3*c*d^2 + 9*B^2*a*b^2*d^3)*n^2)*x^2 + 6*(A*B*b^3*c^3 - 3*A*B*a*b^2*c^2*d + 3*A*B*a^2*b*c*d^2)*n + 3*(6*A*B*a^2*b*d^3*n - (B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 - 6*B^2*a^2*b*d^3)*n^2)*x)*log((b*x + a)/(d*x + c)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
18,1,1762,0,0.538732," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{72 \, A^{2} b^{4} c^{4} - 288 \, A^{2} a b^{3} c^{3} d + 432 \, A^{2} a^{2} b^{2} c^{2} d^{2} - 288 \, A^{2} a^{3} b c d^{3} + 72 \, A^{2} a^{4} d^{4} - 12 \, {\left(25 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c d^{3} - A B a b^{3} d^{4}\right)} n\right)} x^{3} + {\left(9 \, B^{2} b^{4} c^{4} - 64 \, B^{2} a b^{3} c^{3} d + 216 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 576 \, B^{2} a^{3} b c d^{3} + 415 \, B^{2} a^{4} d^{4}\right)} n^{2} + 6 \, {\left({\left(13 \, B^{2} b^{4} c^{2} d^{2} - 176 \, B^{2} a b^{3} c d^{3} + 163 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c^{2} d^{2} - 8 \, A B a b^{3} c d^{3} + 7 \, A B a^{2} b^{2} d^{4}\right)} n\right)} x^{2} + 72 \, {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3} + B^{2} a^{4} d^{4}\right)} \log\left(e\right)^{2} - 72 \, {\left(B^{2} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{2} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{2} a^{3} b d^{4} n^{2} x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} + 12 \, {\left(3 \, A B b^{4} c^{4} - 16 \, A B a b^{3} c^{3} d + 36 \, A B a^{2} b^{2} c^{2} d^{2} - 48 \, A B a^{3} b c d^{3} + 25 \, A B a^{4} d^{4}\right)} n - 4 \, {\left({\left(7 \, B^{2} b^{4} c^{3} d - 60 \, B^{2} a b^{3} c^{2} d^{2} + 324 \, B^{2} a^{2} b^{2} c d^{3} - 271 \, B^{2} a^{3} b d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c^{3} d - 6 \, A B a b^{3} c^{2} d^{2} + 18 \, A B a^{2} b^{2} c d^{3} - 13 \, A B a^{3} b d^{4}\right)} n\right)} x + 12 \, {\left(12 \, A B b^{4} c^{4} - 48 \, A B a b^{3} c^{3} d + 72 \, A B a^{2} b^{2} c^{2} d^{2} - 48 \, A B a^{3} b c d^{3} + 12 \, A B a^{4} d^{4} - 12 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n x^{3} + 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} + 7 \, B^{2} a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} - 13 \, B^{2} a^{3} b d^{4}\right)} n x + {\left(3 \, B^{2} b^{4} c^{4} - 16 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{2} a^{3} b c d^{3} + 25 \, B^{2} a^{4} d^{4}\right)} n - 12 \, {\left(B^{2} b^{4} d^{4} n x^{4} + 4 \, B^{2} a b^{3} d^{4} n x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n x^{2} + 4 \, B^{2} a^{3} b d^{4} n x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) - 12 \, {\left({\left(25 \, B^{2} b^{4} d^{4} n^{2} + 12 \, A B b^{4} d^{4} n\right)} x^{4} + 4 \, {\left(12 \, A B a b^{3} d^{4} n + {\left(3 \, B^{2} b^{4} c d^{3} + 22 \, B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - {\left(3 \, B^{2} b^{4} c^{4} - 16 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B a^{2} b^{2} d^{4} n - {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} - 18 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(A B b^{4} c^{4} - 4 \, A B a b^{3} c^{3} d + 6 \, A B a^{2} b^{2} c^{2} d^{2} - 4 \, A B a^{3} b c d^{3}\right)} n + 4 \, {\left(12 \, A B a^{3} b d^{4} n + {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} + 12 \, B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{288 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/288*(72*A^2*b^4*c^4 - 288*A^2*a*b^3*c^3*d + 432*A^2*a^2*b^2*c^2*d^2 - 288*A^2*a^3*b*c*d^3 + 72*A^2*a^4*d^4 - 12*(25*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n^2 + 12*(A*B*b^4*c*d^3 - A*B*a*b^3*d^4)*n)*x^3 + (9*B^2*b^4*c^4 - 64*B^2*a*b^3*c^3*d + 216*B^2*a^2*b^2*c^2*d^2 - 576*B^2*a^3*b*c*d^3 + 415*B^2*a^4*d^4)*n^2 + 6*((13*B^2*b^4*c^2*d^2 - 176*B^2*a*b^3*c*d^3 + 163*B^2*a^2*b^2*d^4)*n^2 + 12*(A*B*b^4*c^2*d^2 - 8*A*B*a*b^3*c*d^3 + 7*A*B*a^2*b^2*d^4)*n)*x^2 + 72*(B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3 + B^2*a^4*d^4)*log(e)^2 - 72*(B^2*b^4*d^4*n^2*x^4 + 4*B^2*a*b^3*d^4*n^2*x^3 + 6*B^2*a^2*b^2*d^4*n^2*x^2 + 4*B^2*a^3*b*d^4*n^2*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n^2)*log((b*x + a)/(d*x + c))^2 + 12*(3*A*B*b^4*c^4 - 16*A*B*a*b^3*c^3*d + 36*A*B*a^2*b^2*c^2*d^2 - 48*A*B*a^3*b*c*d^3 + 25*A*B*a^4*d^4)*n - 4*((7*B^2*b^4*c^3*d - 60*B^2*a*b^3*c^2*d^2 + 324*B^2*a^2*b^2*c*d^3 - 271*B^2*a^3*b*d^4)*n^2 + 12*(A*B*b^4*c^3*d - 6*A*B*a*b^3*c^2*d^2 + 18*A*B*a^2*b^2*c*d^3 - 13*A*B*a^3*b*d^4)*n)*x + 12*(12*A*B*b^4*c^4 - 48*A*B*a*b^3*c^3*d + 72*A*B*a^2*b^2*c^2*d^2 - 48*A*B*a^3*b*c*d^3 + 12*A*B*a^4*d^4 - 12*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n*x^3 + 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 + 7*B^2*a^2*b^2*d^4)*n*x^2 - 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 - 13*B^2*a^3*b*d^4)*n*x + (3*B^2*b^4*c^4 - 16*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 48*B^2*a^3*b*c*d^3 + 25*B^2*a^4*d^4)*n - 12*(B^2*b^4*d^4*n*x^4 + 4*B^2*a*b^3*d^4*n*x^3 + 6*B^2*a^2*b^2*d^4*n*x^2 + 4*B^2*a^3*b*d^4*n*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n)*log((b*x + a)/(d*x + c)))*log(e) - 12*((25*B^2*b^4*d^4*n^2 + 12*A*B*b^4*d^4*n)*x^4 + 4*(12*A*B*a*b^3*d^4*n + (3*B^2*b^4*c*d^3 + 22*B^2*a*b^3*d^4)*n^2)*x^3 - (3*B^2*b^4*c^4 - 16*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 48*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B*a^2*b^2*d^4*n - (B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 - 18*B^2*a^2*b^2*d^4)*n^2)*x^2 - 12*(A*B*b^4*c^4 - 4*A*B*a*b^3*c^3*d + 6*A*B*a^2*b^2*c^2*d^2 - 4*A*B*a^3*b*c*d^3)*n + 4*(12*A*B*a^3*b*d^4*n + (B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 + 12*B^2*a^3*b*d^4)*n^2)*x)*log((b*x + a)/(d*x + c)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
19,0,0,0,0.452183," ","integrate((b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
20,0,0,0,0.429227," ","integrate((b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((b*g*x + a*g)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
21,0,0,0,0.422069," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b g x + A a g + {\left(B b g x + B a g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A*b*g*x + A*a*g + (B*b*g*x + B*a*g)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
22,1,62,0,0.437278," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right)}{{\left(B b c - B a d\right)} g^{2} n}"," ",0,"e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a))/((B*b*c - B*a*d)*g^2*n)","A",0
23,1,149,0,0.431426," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","-\frac{d e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right) - b e^{\left(\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} e^{\left(-\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{{\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} g^{3} n}"," ",0,"-(d*e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a)) - b*e^(2*(B*log(e) + A)/(B*n))*log_integral((d^2*x^2 + 2*c*d*x + c^2)*e^(-2*(B*log(e) + A)/(B*n))/(b^2*x^2 + 2*a*b*x + a^2)))/((B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*g^3*n)","A",0
24,0,0,0,0.417759," ","integrate((b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
25,0,0,0,0.416791," ","integrate((b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((b*g*x + a*g)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
26,0,0,0,0.433605," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*b*g*x + A*B*a*g)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
27,1,274,0,0.440109," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","-\frac{B d n x + B c n + {\left(A b x + A a + {\left(B b x + B a\right)} \log\left(e\right) + {\left(B b n x + B a n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right)}{{\left(A B^{2} b^{2} c - A B^{2} a b d\right)} g^{2} n^{2} x + {\left(A B^{2} a b c - A B^{2} a^{2} d\right)} g^{2} n^{2} + {\left({\left(B^{3} b^{2} c - B^{3} a b d\right)} g^{2} n^{2} x + {\left(B^{3} a b c - B^{3} a^{2} d\right)} g^{2} n^{2}\right)} \log\left(e\right) + {\left({\left(B^{3} b^{2} c - B^{3} a b d\right)} g^{2} n^{3} x + {\left(B^{3} a b c - B^{3} a^{2} d\right)} g^{2} n^{3}\right)} \log\left(\frac{b x + a}{d x + c}\right)}"," ",0,"-(B*d*n*x + B*c*n + (A*b*x + A*a + (B*b*x + B*a)*log(e) + (B*b*n*x + B*a*n)*log((b*x + a)/(d*x + c)))*e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a)))/((A*B^2*b^2*c - A*B^2*a*b*d)*g^2*n^2*x + (A*B^2*a*b*c - A*B^2*a^2*d)*g^2*n^2 + ((B^3*b^2*c - B^3*a*b*d)*g^2*n^2*x + (B^3*a*b*c - B^3*a^2*d)*g^2*n^2)*log(e) + ((B^3*b^2*c - B^3*a*b*d)*g^2*n^3*x + (B^3*a*b*c - B^3*a^2*d)*g^2*n^3)*log((b*x + a)/(d*x + c)))","A",0
28,1,755,0,0.453731," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","-\frac{{\left(B b c d - B a d^{2}\right)} n x - {\left(A b^{2} d x^{2} + 2 \, A a b d x + A a^{2} d + {\left(B b^{2} d x^{2} + 2 \, B a b d x + B a^{2} d\right)} \log\left(e\right) + {\left(B b^{2} d n x^{2} + 2 \, B a b d n x + B a^{2} d n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right) + 2 \, {\left(A b^{3} x^{2} + 2 \, A a b^{2} x + A a^{2} b + {\left(B b^{3} x^{2} + 2 \, B a b^{2} x + B a^{2} b\right)} \log\left(e\right) + {\left(B b^{3} n x^{2} + 2 \, B a b^{2} n x + B a^{2} b n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} e^{\left(\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} e^{\left(-\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + {\left(B b c^{2} - B a c d\right)} n}{{\left(A B^{2} b^{4} c^{2} - 2 \, A B^{2} a b^{3} c d + A B^{2} a^{2} b^{2} d^{2}\right)} g^{3} n^{2} x^{2} + 2 \, {\left(A B^{2} a b^{3} c^{2} - 2 \, A B^{2} a^{2} b^{2} c d + A B^{2} a^{3} b d^{2}\right)} g^{3} n^{2} x + {\left(A B^{2} a^{2} b^{2} c^{2} - 2 \, A B^{2} a^{3} b c d + A B^{2} a^{4} d^{2}\right)} g^{3} n^{2} + {\left({\left(B^{3} b^{4} c^{2} - 2 \, B^{3} a b^{3} c d + B^{3} a^{2} b^{2} d^{2}\right)} g^{3} n^{2} x^{2} + 2 \, {\left(B^{3} a b^{3} c^{2} - 2 \, B^{3} a^{2} b^{2} c d + B^{3} a^{3} b d^{2}\right)} g^{3} n^{2} x + {\left(B^{3} a^{2} b^{2} c^{2} - 2 \, B^{3} a^{3} b c d + B^{3} a^{4} d^{2}\right)} g^{3} n^{2}\right)} \log\left(e\right) + {\left({\left(B^{3} b^{4} c^{2} - 2 \, B^{3} a b^{3} c d + B^{3} a^{2} b^{2} d^{2}\right)} g^{3} n^{3} x^{2} + 2 \, {\left(B^{3} a b^{3} c^{2} - 2 \, B^{3} a^{2} b^{2} c d + B^{3} a^{3} b d^{2}\right)} g^{3} n^{3} x + {\left(B^{3} a^{2} b^{2} c^{2} - 2 \, B^{3} a^{3} b c d + B^{3} a^{4} d^{2}\right)} g^{3} n^{3}\right)} \log\left(\frac{b x + a}{d x + c}\right)}"," ",0,"-((B*b*c*d - B*a*d^2)*n*x - (A*b^2*d*x^2 + 2*A*a*b*d*x + A*a^2*d + (B*b^2*d*x^2 + 2*B*a*b*d*x + B*a^2*d)*log(e) + (B*b^2*d*n*x^2 + 2*B*a*b*d*n*x + B*a^2*d*n)*log((b*x + a)/(d*x + c)))*e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a)) + 2*(A*b^3*x^2 + 2*A*a*b^2*x + A*a^2*b + (B*b^3*x^2 + 2*B*a*b^2*x + B*a^2*b)*log(e) + (B*b^3*n*x^2 + 2*B*a*b^2*n*x + B*a^2*b*n)*log((b*x + a)/(d*x + c)))*e^(2*(B*log(e) + A)/(B*n))*log_integral((d^2*x^2 + 2*c*d*x + c^2)*e^(-2*(B*log(e) + A)/(B*n))/(b^2*x^2 + 2*a*b*x + a^2)) + (B*b*c^2 - B*a*c*d)*n)/((A*B^2*b^4*c^2 - 2*A*B^2*a*b^3*c*d + A*B^2*a^2*b^2*d^2)*g^3*n^2*x^2 + 2*(A*B^2*a*b^3*c^2 - 2*A*B^2*a^2*b^2*c*d + A*B^2*a^3*b*d^2)*g^3*n^2*x + (A*B^2*a^2*b^2*c^2 - 2*A*B^2*a^3*b*c*d + A*B^2*a^4*d^2)*g^3*n^2 + ((B^3*b^4*c^2 - 2*B^3*a*b^3*c*d + B^3*a^2*b^2*d^2)*g^3*n^2*x^2 + 2*(B^3*a*b^3*c^2 - 2*B^3*a^2*b^2*c*d + B^3*a^3*b*d^2)*g^3*n^2*x + (B^3*a^2*b^2*c^2 - 2*B^3*a^3*b*c*d + B^3*a^4*d^2)*g^3*n^2)*log(e) + ((B^3*b^4*c^2 - 2*B^3*a*b^3*c*d + B^3*a^2*b^2*d^2)*g^3*n^3*x^2 + 2*(B^3*a*b^3*c^2 - 2*B^3*a^2*b^2*c*d + B^3*a^3*b*d^2)*g^3*n^3*x + (B^3*a^2*b^2*c^2 - 2*B^3*a^3*b*c*d + B^3*a^4*d^2)*g^3*n^3)*log((b*x + a)/(d*x + c)))","B",0
29,1,572,0,0.578923," ","integrate((d*g*x+c*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} - 12 \, B b^{5} c^{5} g^{4} n \log\left(d x + c\right) + 12 \, {\left(5 \, B a b^{4} c^{4} d - 10 \, B a^{2} b^{3} c^{3} d^{2} + 10 \, B a^{3} b^{2} c^{2} d^{3} - 5 \, B a^{4} b c d^{4} + B a^{5} d^{5}\right)} g^{4} n \log\left(b x + a\right) + 3 \, {\left(20 \, A b^{5} c d^{4} g^{4} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{4} n\right)} x^{4} + 4 \, {\left(30 \, A b^{5} c^{2} d^{3} g^{4} - {\left(4 \, B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} + B a^{2} b^{3} d^{5}\right)} g^{4} n\right)} x^{3} + 6 \, {\left(20 \, A b^{5} c^{3} d^{2} g^{4} - {\left(6 \, B b^{5} c^{3} d^{2} - 10 \, B a b^{4} c^{2} d^{3} + 5 \, B a^{2} b^{3} c d^{4} - B a^{3} b^{2} d^{5}\right)} g^{4} n\right)} x^{2} + 12 \, {\left(5 \, A b^{5} c^{4} d g^{4} - {\left(4 \, B b^{5} c^{4} d - 10 \, B a b^{4} c^{3} d^{2} + 10 \, B a^{2} b^{3} c^{2} d^{3} - 5 \, B a^{3} b^{2} c d^{4} + B a^{4} b d^{5}\right)} g^{4} n\right)} x + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B b^{5} c d^{4} g^{4} x^{4} + 10 \, B b^{5} c^{2} d^{3} g^{4} x^{3} + 10 \, B b^{5} c^{3} d^{2} g^{4} x^{2} + 5 \, B b^{5} c^{4} d g^{4} x\right)} \log\left(e\right) + 12 \, {\left(B b^{5} d^{5} g^{4} n x^{5} + 5 \, B b^{5} c d^{4} g^{4} n x^{4} + 10 \, B b^{5} c^{2} d^{3} g^{4} n x^{3} + 10 \, B b^{5} c^{3} d^{2} g^{4} n x^{2} + 5 \, B b^{5} c^{4} d g^{4} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{60 \, b^{5} d}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 - 12*B*b^5*c^5*g^4*n*log(d*x + c) + 12*(5*B*a*b^4*c^4*d - 10*B*a^2*b^3*c^3*d^2 + 10*B*a^3*b^2*c^2*d^3 - 5*B*a^4*b*c*d^4 + B*a^5*d^5)*g^4*n*log(b*x + a) + 3*(20*A*b^5*c*d^4*g^4 - (B*b^5*c*d^4 - B*a*b^4*d^5)*g^4*n)*x^4 + 4*(30*A*b^5*c^2*d^3*g^4 - (4*B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 + B*a^2*b^3*d^5)*g^4*n)*x^3 + 6*(20*A*b^5*c^3*d^2*g^4 - (6*B*b^5*c^3*d^2 - 10*B*a*b^4*c^2*d^3 + 5*B*a^2*b^3*c*d^4 - B*a^3*b^2*d^5)*g^4*n)*x^2 + 12*(5*A*b^5*c^4*d*g^4 - (4*B*b^5*c^4*d - 10*B*a*b^4*c^3*d^2 + 10*B*a^2*b^3*c^2*d^3 - 5*B*a^3*b^2*c*d^4 + B*a^4*b*d^5)*g^4*n)*x + 12*(B*b^5*d^5*g^4*x^5 + 5*B*b^5*c*d^4*g^4*x^4 + 10*B*b^5*c^2*d^3*g^4*x^3 + 10*B*b^5*c^3*d^2*g^4*x^2 + 5*B*b^5*c^4*d*g^4*x)*log(e) + 12*(B*b^5*d^5*g^4*n*x^5 + 5*B*b^5*c*d^4*g^4*n*x^4 + 10*B*b^5*c^2*d^3*g^4*n*x^3 + 10*B*b^5*c^3*d^2*g^4*n*x^2 + 5*B*b^5*c^4*d*g^4*n*x)*log((b*x + a)/(d*x + c)))/(b^5*d)","B",0
30,1,429,0,0.523154," ","integrate((d*g*x+c*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} - 6 \, B b^{4} c^{4} g^{3} n \log\left(d x + c\right) + 6 \, {\left(4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3} - B a^{4} d^{4}\right)} g^{3} n \log\left(b x + a\right) + 2 \, {\left(12 \, A b^{4} c d^{3} g^{3} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{3} n\right)} x^{3} + 3 \, {\left(12 \, A b^{4} c^{2} d^{2} g^{3} - {\left(3 \, B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} + B a^{2} b^{2} d^{4}\right)} g^{3} n\right)} x^{2} + 6 \, {\left(4 \, A b^{4} c^{3} d g^{3} - {\left(3 \, B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 4 \, B a^{2} b^{2} c d^{3} - B a^{3} b d^{4}\right)} g^{3} n\right)} x + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B b^{4} c d^{3} g^{3} x^{3} + 6 \, B b^{4} c^{2} d^{2} g^{3} x^{2} + 4 \, B b^{4} c^{3} d g^{3} x\right)} \log\left(e\right) + 6 \, {\left(B b^{4} d^{4} g^{3} n x^{4} + 4 \, B b^{4} c d^{3} g^{3} n x^{3} + 6 \, B b^{4} c^{2} d^{2} g^{3} n x^{2} + 4 \, B b^{4} c^{3} d g^{3} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{24 \, b^{4} d}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 - 6*B*b^4*c^4*g^3*n*log(d*x + c) + 6*(4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3 - B*a^4*d^4)*g^3*n*log(b*x + a) + 2*(12*A*b^4*c*d^3*g^3 - (B*b^4*c*d^3 - B*a*b^3*d^4)*g^3*n)*x^3 + 3*(12*A*b^4*c^2*d^2*g^3 - (3*B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 + B*a^2*b^2*d^4)*g^3*n)*x^2 + 6*(4*A*b^4*c^3*d*g^3 - (3*B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 4*B*a^2*b^2*c*d^3 - B*a^3*b*d^4)*g^3*n)*x + 6*(B*b^4*d^4*g^3*x^4 + 4*B*b^4*c*d^3*g^3*x^3 + 6*B*b^4*c^2*d^2*g^3*x^2 + 4*B*b^4*c^3*d*g^3*x)*log(e) + 6*(B*b^4*d^4*g^3*n*x^4 + 4*B*b^4*c*d^3*g^3*n*x^3 + 6*B*b^4*c^2*d^2*g^3*n*x^2 + 4*B*b^4*c^3*d*g^3*n*x)*log((b*x + a)/(d*x + c)))/(b^4*d)","B",0
31,1,297,0,0.465531," ","integrate((d*g*x+c*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} - 2 \, B b^{3} c^{3} g^{2} n \log\left(d x + c\right) + 2 \, {\left(3 \, B a b^{2} c^{2} d - 3 \, B a^{2} b c d^{2} + B a^{3} d^{3}\right)} g^{2} n \log\left(b x + a\right) + {\left(6 \, A b^{3} c d^{2} g^{2} - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g^{2} n\right)} x^{2} + 2 \, {\left(3 \, A b^{3} c^{2} d g^{2} - {\left(2 \, B b^{3} c^{2} d - 3 \, B a b^{2} c d^{2} + B a^{2} b d^{3}\right)} g^{2} n\right)} x + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B b^{3} c d^{2} g^{2} x^{2} + 3 \, B b^{3} c^{2} d g^{2} x\right)} \log\left(e\right) + 2 \, {\left(B b^{3} d^{3} g^{2} n x^{3} + 3 \, B b^{3} c d^{2} g^{2} n x^{2} + 3 \, B b^{3} c^{2} d g^{2} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{6 \, b^{3} d}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 - 2*B*b^3*c^3*g^2*n*log(d*x + c) + 2*(3*B*a*b^2*c^2*d - 3*B*a^2*b*c*d^2 + B*a^3*d^3)*g^2*n*log(b*x + a) + (6*A*b^3*c*d^2*g^2 - (B*b^3*c*d^2 - B*a*b^2*d^3)*g^2*n)*x^2 + 2*(3*A*b^3*c^2*d*g^2 - (2*B*b^3*c^2*d - 3*B*a*b^2*c*d^2 + B*a^2*b*d^3)*g^2*n)*x + 2*(B*b^3*d^3*g^2*x^3 + 3*B*b^3*c*d^2*g^2*x^2 + 3*B*b^3*c^2*d*g^2*x)*log(e) + 2*(B*b^3*d^3*g^2*n*x^3 + 3*B*b^3*c*d^2*g^2*n*x^2 + 3*B*b^3*c^2*d*g^2*n*x)*log((b*x + a)/(d*x + c)))/(b^3*d)","B",0
32,1,162,0,0.442502," ","integrate((d*g*x+c*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} - B b^{2} c^{2} g n \log\left(d x + c\right) + {\left(2 \, B a b c d - B a^{2} d^{2}\right)} g n \log\left(b x + a\right) + {\left(2 \, A b^{2} c d g - {\left(B b^{2} c d - B a b d^{2}\right)} g n\right)} x + {\left(B b^{2} d^{2} g x^{2} + 2 \, B b^{2} c d g x\right)} \log\left(e\right) + {\left(B b^{2} d^{2} g n x^{2} + 2 \, B b^{2} c d g n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{2 \, b^{2} d}"," ",0,"1/2*(A*b^2*d^2*g*x^2 - B*b^2*c^2*g*n*log(d*x + c) + (2*B*a*b*c*d - B*a^2*d^2)*g*n*log(b*x + a) + (2*A*b^2*c*d*g - (B*b^2*c*d - B*a*b*d^2)*g*n)*x + (B*b^2*d^2*g*x^2 + 2*B*b^2*c*d*g*x)*log(e) + (B*b^2*d^2*g*n*x^2 + 2*B*b^2*c*d*g*n*x)*log((b*x + a)/(d*x + c)))/(b^2*d)","B",0
33,0,0,0,0.435248," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}{d g x + c g}, x\right)"," ",0,"integral((B*log(e*((b*x + a)/(d*x + c))^n) + A)/(d*g*x + c*g), x)","F",0
34,1,105,0,0.440865," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^2,x, algorithm=""fricas"")","-\frac{A b c - A a d - {\left(B b c - B a d\right)} n + {\left(B b c - B a d\right)} \log\left(e\right) - {\left(B b d n x + B a d n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b c d^{2} - a d^{3}\right)} g^{2} x + {\left(b c^{2} d - a c d^{2}\right)} g^{2}}"," ",0,"-(A*b*c - A*a*d - (B*b*c - B*a*d)*n + (B*b*c - B*a*d)*log(e) - (B*b*d*n*x + B*a*d*n)*log((b*x + a)/(d*x + c)))/((b*c*d^2 - a*d^3)*g^2*x + (b*c^2*d - a*c*d^2)*g^2)","A",0
35,1,266,0,0.670800," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^3,x, algorithm=""fricas"")","-\frac{2 \, A b^{2} c^{2} - 4 \, A a b c d + 2 \, A a^{2} d^{2} - 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} n x - {\left(3 \, B b^{2} c^{2} - 4 \, B a b c d + B a^{2} d^{2}\right)} n + 2 \, {\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} \log\left(e\right) - 2 \, {\left(B b^{2} d^{2} n x^{2} + 2 \, B b^{2} c d n x + {\left(2 \, B a b c d - B a^{2} d^{2}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{4 \, {\left({\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)} g^{3} x^{2} + 2 \, {\left(b^{2} c^{3} d^{2} - 2 \, a b c^{2} d^{3} + a^{2} c d^{4}\right)} g^{3} x + {\left(b^{2} c^{4} d - 2 \, a b c^{3} d^{2} + a^{2} c^{2} d^{3}\right)} g^{3}\right)}}"," ",0,"-1/4*(2*A*b^2*c^2 - 4*A*a*b*c*d + 2*A*a^2*d^2 - 2*(B*b^2*c*d - B*a*b*d^2)*n*x - (3*B*b^2*c^2 - 4*B*a*b*c*d + B*a^2*d^2)*n + 2*(B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*log(e) - 2*(B*b^2*d^2*n*x^2 + 2*B*b^2*c*d*n*x + (2*B*a*b*c*d - B*a^2*d^2)*n)*log((b*x + a)/(d*x + c)))/((b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5)*g^3*x^2 + 2*(b^2*c^3*d^2 - 2*a*b*c^2*d^3 + a^2*c*d^4)*g^3*x + (b^2*c^4*d - 2*a*b*c^3*d^2 + a^2*c^2*d^3)*g^3)","A",0
36,1,483,0,0.824056," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^4,x, algorithm=""fricas"")","-\frac{6 \, A b^{3} c^{3} - 18 \, A a b^{2} c^{2} d + 18 \, A a^{2} b c d^{2} - 6 \, A a^{3} d^{3} - 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(5 \, B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + B a^{2} b d^{3}\right)} n x - {\left(11 \, B b^{3} c^{3} - 18 \, B a b^{2} c^{2} d + 9 \, B a^{2} b c d^{2} - 2 \, B a^{3} d^{3}\right)} n + 6 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2} - B a^{3} d^{3}\right)} \log\left(e\right) - 6 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B b^{3} c d^{2} n x^{2} + 3 \, B b^{3} c^{2} d n x + {\left(3 \, B a b^{2} c^{2} d - 3 \, B a^{2} b c d^{2} + B a^{3} d^{3}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{18 \, {\left({\left(b^{3} c^{3} d^{4} - 3 \, a b^{2} c^{2} d^{5} + 3 \, a^{2} b c d^{6} - a^{3} d^{7}\right)} g^{4} x^{3} + 3 \, {\left(b^{3} c^{4} d^{3} - 3 \, a b^{2} c^{3} d^{4} + 3 \, a^{2} b c^{2} d^{5} - a^{3} c d^{6}\right)} g^{4} x^{2} + 3 \, {\left(b^{3} c^{5} d^{2} - 3 \, a b^{2} c^{4} d^{3} + 3 \, a^{2} b c^{3} d^{4} - a^{3} c^{2} d^{5}\right)} g^{4} x + {\left(b^{3} c^{6} d - 3 \, a b^{2} c^{5} d^{2} + 3 \, a^{2} b c^{4} d^{3} - a^{3} c^{3} d^{4}\right)} g^{4}\right)}}"," ",0,"-1/18*(6*A*b^3*c^3 - 18*A*a*b^2*c^2*d + 18*A*a^2*b*c*d^2 - 6*A*a^3*d^3 - 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*n*x^2 - 3*(5*B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + B*a^2*b*d^3)*n*x - (11*B*b^3*c^3 - 18*B*a*b^2*c^2*d + 9*B*a^2*b*c*d^2 - 2*B*a^3*d^3)*n + 6*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2 - B*a^3*d^3)*log(e) - 6*(B*b^3*d^3*n*x^3 + 3*B*b^3*c*d^2*n*x^2 + 3*B*b^3*c^2*d*n*x + (3*B*a*b^2*c^2*d - 3*B*a^2*b*c*d^2 + B*a^3*d^3)*n)*log((b*x + a)/(d*x + c)))/((b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7)*g^4*x^3 + 3*(b^3*c^4*d^3 - 3*a*b^2*c^3*d^4 + 3*a^2*b*c^2*d^5 - a^3*c*d^6)*g^4*x^2 + 3*(b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 3*a^2*b*c^3*d^4 - a^3*c^2*d^5)*g^4*x + (b^3*c^6*d - 3*a*b^2*c^5*d^2 + 3*a^2*b*c^4*d^3 - a^3*c^3*d^4)*g^4)","B",0
37,1,735,0,0.671488," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(d*g*x+c*g)^5,x, algorithm=""fricas"")","-\frac{12 \, A b^{4} c^{4} - 48 \, A a b^{3} c^{3} d + 72 \, A a^{2} b^{2} c^{2} d^{2} - 48 \, A a^{3} b c d^{3} + 12 \, A a^{4} d^{4} - 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} n x^{3} - 6 \, {\left(7 \, B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + B a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(13 \, B b^{4} c^{3} d - 18 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} - B a^{3} b d^{4}\right)} n x - {\left(25 \, B b^{4} c^{4} - 48 \, B a b^{3} c^{3} d + 36 \, B a^{2} b^{2} c^{2} d^{2} - 16 \, B a^{3} b c d^{3} + 3 \, B a^{4} d^{4}\right)} n + 12 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3} + B a^{4} d^{4}\right)} \log\left(e\right) - 12 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B b^{4} c d^{3} n x^{3} + 6 \, B b^{4} c^{2} d^{2} n x^{2} + 4 \, B b^{4} c^{3} d n x + {\left(4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3} - B a^{4} d^{4}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)}{48 \, {\left({\left(b^{4} c^{4} d^{5} - 4 \, a b^{3} c^{3} d^{6} + 6 \, a^{2} b^{2} c^{2} d^{7} - 4 \, a^{3} b c d^{8} + a^{4} d^{9}\right)} g^{5} x^{4} + 4 \, {\left(b^{4} c^{5} d^{4} - 4 \, a b^{3} c^{4} d^{5} + 6 \, a^{2} b^{2} c^{3} d^{6} - 4 \, a^{3} b c^{2} d^{7} + a^{4} c d^{8}\right)} g^{5} x^{3} + 6 \, {\left(b^{4} c^{6} d^{3} - 4 \, a b^{3} c^{5} d^{4} + 6 \, a^{2} b^{2} c^{4} d^{5} - 4 \, a^{3} b c^{3} d^{6} + a^{4} c^{2} d^{7}\right)} g^{5} x^{2} + 4 \, {\left(b^{4} c^{7} d^{2} - 4 \, a b^{3} c^{6} d^{3} + 6 \, a^{2} b^{2} c^{5} d^{4} - 4 \, a^{3} b c^{4} d^{5} + a^{4} c^{3} d^{6}\right)} g^{5} x + {\left(b^{4} c^{8} d - 4 \, a b^{3} c^{7} d^{2} + 6 \, a^{2} b^{2} c^{6} d^{3} - 4 \, a^{3} b c^{5} d^{4} + a^{4} c^{4} d^{5}\right)} g^{5}\right)}}"," ",0,"-1/48*(12*A*b^4*c^4 - 48*A*a*b^3*c^3*d + 72*A*a^2*b^2*c^2*d^2 - 48*A*a^3*b*c*d^3 + 12*A*a^4*d^4 - 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*n*x^3 - 6*(7*B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + B*a^2*b^2*d^4)*n*x^2 - 4*(13*B*b^4*c^3*d - 18*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 - B*a^3*b*d^4)*n*x - (25*B*b^4*c^4 - 48*B*a*b^3*c^3*d + 36*B*a^2*b^2*c^2*d^2 - 16*B*a^3*b*c*d^3 + 3*B*a^4*d^4)*n + 12*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3 + B*a^4*d^4)*log(e) - 12*(B*b^4*d^4*n*x^4 + 4*B*b^4*c*d^3*n*x^3 + 6*B*b^4*c^2*d^2*n*x^2 + 4*B*b^4*c^3*d*n*x + (4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3 - B*a^4*d^4)*n)*log((b*x + a)/(d*x + c)))/((b^4*c^4*d^5 - 4*a*b^3*c^3*d^6 + 6*a^2*b^2*c^2*d^7 - 4*a^3*b*c*d^8 + a^4*d^9)*g^5*x^4 + 4*(b^4*c^5*d^4 - 4*a*b^3*c^4*d^5 + 6*a^2*b^2*c^3*d^6 - 4*a^3*b*c^2*d^7 + a^4*c*d^8)*g^5*x^3 + 6*(b^4*c^6*d^3 - 4*a*b^3*c^5*d^4 + 6*a^2*b^2*c^4*d^5 - 4*a^3*b*c^3*d^6 + a^4*c^2*d^7)*g^5*x^2 + 4*(b^4*c^7*d^2 - 4*a*b^3*c^6*d^3 + 6*a^2*b^2*c^5*d^4 - 4*a^3*b*c^4*d^5 + a^4*c^3*d^6)*g^5*x + (b^4*c^8*d - 4*a*b^3*c^7*d^2 + 6*a^2*b^2*c^6*d^3 - 4*a^3*b*c^5*d^4 + a^4*c^4*d^5)*g^5)","B",0
38,0,0,0,0.680622," ","integrate((d*g*x+c*g)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} d^{4} g^{4} x^{4} + 4 \, A^{2} c d^{3} g^{4} x^{3} + 6 \, A^{2} c^{2} d^{2} g^{4} x^{2} + 4 \, A^{2} c^{3} d g^{4} x + A^{2} c^{4} g^{4} + {\left(B^{2} d^{4} g^{4} x^{4} + 4 \, B^{2} c d^{3} g^{4} x^{3} + 6 \, B^{2} c^{2} d^{2} g^{4} x^{2} + 4 \, B^{2} c^{3} d g^{4} x + B^{2} c^{4} g^{4}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B d^{4} g^{4} x^{4} + 4 \, A B c d^{3} g^{4} x^{3} + 6 \, A B c^{2} d^{2} g^{4} x^{2} + 4 \, A B c^{3} d g^{4} x + A B c^{4} g^{4}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*d^4*g^4*x^4 + 4*A^2*c*d^3*g^4*x^3 + 6*A^2*c^2*d^2*g^4*x^2 + 4*A^2*c^3*d*g^4*x + A^2*c^4*g^4 + (B^2*d^4*g^4*x^4 + 4*B^2*c*d^3*g^4*x^3 + 6*B^2*c^2*d^2*g^4*x^2 + 4*B^2*c^3*d*g^4*x + B^2*c^4*g^4)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*d^4*g^4*x^4 + 4*A*B*c*d^3*g^4*x^3 + 6*A*B*c^2*d^2*g^4*x^2 + 4*A*B*c^3*d*g^4*x + A*B*c^4*g^4)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
39,0,0,0,0.631495," ","integrate((d*g*x+c*g)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} d^{3} g^{3} x^{3} + 3 \, A^{2} c d^{2} g^{3} x^{2} + 3 \, A^{2} c^{2} d g^{3} x + A^{2} c^{3} g^{3} + {\left(B^{2} d^{3} g^{3} x^{3} + 3 \, B^{2} c d^{2} g^{3} x^{2} + 3 \, B^{2} c^{2} d g^{3} x + B^{2} c^{3} g^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B d^{3} g^{3} x^{3} + 3 \, A B c d^{2} g^{3} x^{2} + 3 \, A B c^{2} d g^{3} x + A B c^{3} g^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*d^3*g^3*x^3 + 3*A^2*c*d^2*g^3*x^2 + 3*A^2*c^2*d*g^3*x + A^2*c^3*g^3 + (B^2*d^3*g^3*x^3 + 3*B^2*c*d^2*g^3*x^2 + 3*B^2*c^2*d*g^3*x + B^2*c^3*g^3)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*d^3*g^3*x^3 + 3*A*B*c*d^2*g^3*x^2 + 3*A*B*c^2*d*g^3*x + A*B*c^3*g^3)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
40,0,0,0,0.820275," ","integrate((d*g*x+c*g)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} d^{2} g^{2} x^{2} + 2 \, A^{2} c d g^{2} x + A^{2} c^{2} g^{2} + {\left(B^{2} d^{2} g^{2} x^{2} + 2 \, B^{2} c d g^{2} x + B^{2} c^{2} g^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B d^{2} g^{2} x^{2} + 2 \, A B c d g^{2} x + A B c^{2} g^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*d^2*g^2*x^2 + 2*A^2*c*d*g^2*x + A^2*c^2*g^2 + (B^2*d^2*g^2*x^2 + 2*B^2*c*d*g^2*x + B^2*c^2*g^2)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*d^2*g^2*x^2 + 2*A*B*c*d*g^2*x + A*B*c^2*g^2)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
41,0,0,0,0.683889," ","integrate((d*g*x+c*g)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} d g x + A^{2} c g + {\left(B^{2} d g x + B^{2} c g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B d g x + A B c g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*d*g*x + A^2*c*g + (B^2*d*g*x + B^2*c*g)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*d*g*x + A*B*c*g)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
42,0,0,0,0.864431," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{d g x + c g}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(d*g*x + c*g), x)","F",0
43,1,263,0,0.833529," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^2,x, algorithm=""fricas"")","-\frac{A^{2} b c - A^{2} a d + 2 \, {\left(B^{2} b c - B^{2} a d\right)} n^{2} + {\left(B^{2} b c - B^{2} a d\right)} \log\left(e\right)^{2} - {\left(B^{2} b d n^{2} x + B^{2} a d n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 2 \, {\left(A B b c - A B a d\right)} n + 2 \, {\left(A B b c - A B a d - {\left(B^{2} b c - B^{2} a d\right)} n - {\left(B^{2} b d n x + B^{2} a d n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 2 \, {\left(B^{2} a d n^{2} - A B a d n + {\left(B^{2} b d n^{2} - A B b d n\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{{\left(b c d^{2} - a d^{3}\right)} g^{2} x + {\left(b c^{2} d - a c d^{2}\right)} g^{2}}"," ",0,"-(A^2*b*c - A^2*a*d + 2*(B^2*b*c - B^2*a*d)*n^2 + (B^2*b*c - B^2*a*d)*log(e)^2 - (B^2*b*d*n^2*x + B^2*a*d*n^2)*log((b*x + a)/(d*x + c))^2 - 2*(A*B*b*c - A*B*a*d)*n + 2*(A*B*b*c - A*B*a*d - (B^2*b*c - B^2*a*d)*n - (B^2*b*d*n*x + B^2*a*d*n)*log((b*x + a)/(d*x + c)))*log(e) + 2*(B^2*a*d*n^2 - A*B*a*d*n + (B^2*b*d*n^2 - A*B*b*d*n)*x)*log((b*x + a)/(d*x + c)))/((b*c*d^2 - a*d^3)*g^2*x + (b*c^2*d - a*c*d^2)*g^2)","A",0
44,1,654,0,0.603273," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^3,x, algorithm=""fricas"")","-\frac{2 \, A^{2} b^{2} c^{2} - 4 \, A^{2} a b c d + 2 \, A^{2} a^{2} d^{2} + {\left(7 \, B^{2} b^{2} c^{2} - 8 \, B^{2} a b c d + B^{2} a^{2} d^{2}\right)} n^{2} + 2 \, {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d + B^{2} a^{2} d^{2}\right)} \log\left(e\right)^{2} - 2 \, {\left(B^{2} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{2} b^{2} c d n^{2} x + {\left(2 \, B^{2} a b c d - B^{2} a^{2} d^{2}\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 2 \, {\left(3 \, A B b^{2} c^{2} - 4 \, A B a b c d + A B a^{2} d^{2}\right)} n + 2 \, {\left(3 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n^{2} - 2 \, {\left(A B b^{2} c d - A B a b d^{2}\right)} n\right)} x + 2 \, {\left(2 \, A B b^{2} c^{2} - 4 \, A B a b c d + 2 \, A B a^{2} d^{2} - 2 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n x - {\left(3 \, B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d + B^{2} a^{2} d^{2}\right)} n - 2 \, {\left(B^{2} b^{2} d^{2} n x^{2} + 2 \, B^{2} b^{2} c d n x + {\left(2 \, B^{2} a b c d - B^{2} a^{2} d^{2}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 2 \, {\left({\left(4 \, B^{2} a b c d - B^{2} a^{2} d^{2}\right)} n^{2} + {\left(3 \, B^{2} b^{2} d^{2} n^{2} - 2 \, A B b^{2} d^{2} n\right)} x^{2} - 2 \, {\left(2 \, A B a b c d - A B a^{2} d^{2}\right)} n - 2 \, {\left(2 \, A B b^{2} c d n - {\left(2 \, B^{2} b^{2} c d + B^{2} a b d^{2}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{4 \, {\left({\left(b^{2} c^{2} d^{3} - 2 \, a b c d^{4} + a^{2} d^{5}\right)} g^{3} x^{2} + 2 \, {\left(b^{2} c^{3} d^{2} - 2 \, a b c^{2} d^{3} + a^{2} c d^{4}\right)} g^{3} x + {\left(b^{2} c^{4} d - 2 \, a b c^{3} d^{2} + a^{2} c^{2} d^{3}\right)} g^{3}\right)}}"," ",0,"-1/4*(2*A^2*b^2*c^2 - 4*A^2*a*b*c*d + 2*A^2*a^2*d^2 + (7*B^2*b^2*c^2 - 8*B^2*a*b*c*d + B^2*a^2*d^2)*n^2 + 2*(B^2*b^2*c^2 - 2*B^2*a*b*c*d + B^2*a^2*d^2)*log(e)^2 - 2*(B^2*b^2*d^2*n^2*x^2 + 2*B^2*b^2*c*d*n^2*x + (2*B^2*a*b*c*d - B^2*a^2*d^2)*n^2)*log((b*x + a)/(d*x + c))^2 - 2*(3*A*B*b^2*c^2 - 4*A*B*a*b*c*d + A*B*a^2*d^2)*n + 2*(3*(B^2*b^2*c*d - B^2*a*b*d^2)*n^2 - 2*(A*B*b^2*c*d - A*B*a*b*d^2)*n)*x + 2*(2*A*B*b^2*c^2 - 4*A*B*a*b*c*d + 2*A*B*a^2*d^2 - 2*(B^2*b^2*c*d - B^2*a*b*d^2)*n*x - (3*B^2*b^2*c^2 - 4*B^2*a*b*c*d + B^2*a^2*d^2)*n - 2*(B^2*b^2*d^2*n*x^2 + 2*B^2*b^2*c*d*n*x + (2*B^2*a*b*c*d - B^2*a^2*d^2)*n)*log((b*x + a)/(d*x + c)))*log(e) + 2*((4*B^2*a*b*c*d - B^2*a^2*d^2)*n^2 + (3*B^2*b^2*d^2*n^2 - 2*A*B*b^2*d^2*n)*x^2 - 2*(2*A*B*a*b*c*d - A*B*a^2*d^2)*n - 2*(2*A*B*b^2*c*d*n - (2*B^2*b^2*c*d + B^2*a*b*d^2)*n^2)*x)*log((b*x + a)/(d*x + c)))/((b^2*c^2*d^3 - 2*a*b*c*d^4 + a^2*d^5)*g^3*x^2 + 2*(b^2*c^3*d^2 - 2*a*b*c^2*d^3 + a^2*c*d^4)*g^3*x + (b^2*c^4*d - 2*a*b*c^3*d^2 + a^2*c^2*d^3)*g^3)","B",0
45,1,1167,0,0.524163," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^4,x, algorithm=""fricas"")","-\frac{18 \, A^{2} b^{3} c^{3} - 54 \, A^{2} a b^{2} c^{2} d + 54 \, A^{2} a^{2} b c d^{2} - 18 \, A^{2} a^{3} d^{3} + {\left(85 \, B^{2} b^{3} c^{3} - 108 \, B^{2} a b^{2} c^{2} d + 27 \, B^{2} a^{2} b c d^{2} - 4 \, B^{2} a^{3} d^{3}\right)} n^{2} + 6 \, {\left(11 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n^{2} - 6 \, {\left(A B b^{3} c d^{2} - A B a b^{2} d^{3}\right)} n\right)} x^{2} + 18 \, {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2} - B^{2} a^{3} d^{3}\right)} \log\left(e\right)^{2} - 18 \, {\left(B^{2} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{2} b^{3} c d^{2} n^{2} x^{2} + 3 \, B^{2} b^{3} c^{2} d n^{2} x + {\left(3 \, B^{2} a b^{2} c^{2} d - 3 \, B^{2} a^{2} b c d^{2} + B^{2} a^{3} d^{3}\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 6 \, {\left(11 \, A B b^{3} c^{3} - 18 \, A B a b^{2} c^{2} d + 9 \, A B a^{2} b c d^{2} - 2 \, A B a^{3} d^{3}\right)} n + 3 \, {\left({\left(49 \, B^{2} b^{3} c^{2} d - 54 \, B^{2} a b^{2} c d^{2} + 5 \, B^{2} a^{2} b d^{3}\right)} n^{2} - 6 \, {\left(5 \, A B b^{3} c^{2} d - 6 \, A B a b^{2} c d^{2} + A B a^{2} b d^{3}\right)} n\right)} x + 6 \, {\left(6 \, A B b^{3} c^{3} - 18 \, A B a b^{2} c^{2} d + 18 \, A B a^{2} b c d^{2} - 6 \, A B a^{3} d^{3} - 6 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(5 \, B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} + B^{2} a^{2} b d^{3}\right)} n x - {\left(11 \, B^{2} b^{3} c^{3} - 18 \, B^{2} a b^{2} c^{2} d + 9 \, B^{2} a^{2} b c d^{2} - 2 \, B^{2} a^{3} d^{3}\right)} n - 6 \, {\left(B^{2} b^{3} d^{3} n x^{3} + 3 \, B^{2} b^{3} c d^{2} n x^{2} + 3 \, B^{2} b^{3} c^{2} d n x + {\left(3 \, B^{2} a b^{2} c^{2} d - 3 \, B^{2} a^{2} b c d^{2} + B^{2} a^{3} d^{3}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 6 \, {\left({\left(11 \, B^{2} b^{3} d^{3} n^{2} - 6 \, A B b^{3} d^{3} n\right)} x^{3} + {\left(18 \, B^{2} a b^{2} c^{2} d - 9 \, B^{2} a^{2} b c d^{2} + 2 \, B^{2} a^{3} d^{3}\right)} n^{2} - 3 \, {\left(6 \, A B b^{3} c d^{2} n - {\left(9 \, B^{2} b^{3} c d^{2} + 2 \, B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} - 6 \, {\left(3 \, A B a b^{2} c^{2} d - 3 \, A B a^{2} b c d^{2} + A B a^{3} d^{3}\right)} n - 3 \, {\left(6 \, A B b^{3} c^{2} d n - {\left(6 \, B^{2} b^{3} c^{2} d + 6 \, B^{2} a b^{2} c d^{2} - B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{54 \, {\left({\left(b^{3} c^{3} d^{4} - 3 \, a b^{2} c^{2} d^{5} + 3 \, a^{2} b c d^{6} - a^{3} d^{7}\right)} g^{4} x^{3} + 3 \, {\left(b^{3} c^{4} d^{3} - 3 \, a b^{2} c^{3} d^{4} + 3 \, a^{2} b c^{2} d^{5} - a^{3} c d^{6}\right)} g^{4} x^{2} + 3 \, {\left(b^{3} c^{5} d^{2} - 3 \, a b^{2} c^{4} d^{3} + 3 \, a^{2} b c^{3} d^{4} - a^{3} c^{2} d^{5}\right)} g^{4} x + {\left(b^{3} c^{6} d - 3 \, a b^{2} c^{5} d^{2} + 3 \, a^{2} b c^{4} d^{3} - a^{3} c^{3} d^{4}\right)} g^{4}\right)}}"," ",0,"-1/54*(18*A^2*b^3*c^3 - 54*A^2*a*b^2*c^2*d + 54*A^2*a^2*b*c*d^2 - 18*A^2*a^3*d^3 + (85*B^2*b^3*c^3 - 108*B^2*a*b^2*c^2*d + 27*B^2*a^2*b*c*d^2 - 4*B^2*a^3*d^3)*n^2 + 6*(11*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n^2 - 6*(A*B*b^3*c*d^2 - A*B*a*b^2*d^3)*n)*x^2 + 18*(B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2 - B^2*a^3*d^3)*log(e)^2 - 18*(B^2*b^3*d^3*n^2*x^3 + 3*B^2*b^3*c*d^2*n^2*x^2 + 3*B^2*b^3*c^2*d*n^2*x + (3*B^2*a*b^2*c^2*d - 3*B^2*a^2*b*c*d^2 + B^2*a^3*d^3)*n^2)*log((b*x + a)/(d*x + c))^2 - 6*(11*A*B*b^3*c^3 - 18*A*B*a*b^2*c^2*d + 9*A*B*a^2*b*c*d^2 - 2*A*B*a^3*d^3)*n + 3*((49*B^2*b^3*c^2*d - 54*B^2*a*b^2*c*d^2 + 5*B^2*a^2*b*d^3)*n^2 - 6*(5*A*B*b^3*c^2*d - 6*A*B*a*b^2*c*d^2 + A*B*a^2*b*d^3)*n)*x + 6*(6*A*B*b^3*c^3 - 18*A*B*a*b^2*c^2*d + 18*A*B*a^2*b*c*d^2 - 6*A*B*a^3*d^3 - 6*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n*x^2 - 3*(5*B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 + B^2*a^2*b*d^3)*n*x - (11*B^2*b^3*c^3 - 18*B^2*a*b^2*c^2*d + 9*B^2*a^2*b*c*d^2 - 2*B^2*a^3*d^3)*n - 6*(B^2*b^3*d^3*n*x^3 + 3*B^2*b^3*c*d^2*n*x^2 + 3*B^2*b^3*c^2*d*n*x + (3*B^2*a*b^2*c^2*d - 3*B^2*a^2*b*c*d^2 + B^2*a^3*d^3)*n)*log((b*x + a)/(d*x + c)))*log(e) + 6*((11*B^2*b^3*d^3*n^2 - 6*A*B*b^3*d^3*n)*x^3 + (18*B^2*a*b^2*c^2*d - 9*B^2*a^2*b*c*d^2 + 2*B^2*a^3*d^3)*n^2 - 3*(6*A*B*b^3*c*d^2*n - (9*B^2*b^3*c*d^2 + 2*B^2*a*b^2*d^3)*n^2)*x^2 - 6*(3*A*B*a*b^2*c^2*d - 3*A*B*a^2*b*c*d^2 + A*B*a^3*d^3)*n - 3*(6*A*B*b^3*c^2*d*n - (6*B^2*b^3*c^2*d + 6*B^2*a*b^2*c*d^2 - B^2*a^2*b*d^3)*n^2)*x)*log((b*x + a)/(d*x + c)))/((b^3*c^3*d^4 - 3*a*b^2*c^2*d^5 + 3*a^2*b*c*d^6 - a^3*d^7)*g^4*x^3 + 3*(b^3*c^4*d^3 - 3*a*b^2*c^3*d^4 + 3*a^2*b*c^2*d^5 - a^3*c*d^6)*g^4*x^2 + 3*(b^3*c^5*d^2 - 3*a*b^2*c^4*d^3 + 3*a^2*b*c^3*d^4 - a^3*c^2*d^5)*g^4*x + (b^3*c^6*d - 3*a*b^2*c^5*d^2 + 3*a^2*b*c^4*d^3 - a^3*c^3*d^4)*g^4)","B",0
46,1,1768,0,0.528358," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(d*g*x+c*g)^5,x, algorithm=""fricas"")","-\frac{72 \, A^{2} b^{4} c^{4} - 288 \, A^{2} a b^{3} c^{3} d + 432 \, A^{2} a^{2} b^{2} c^{2} d^{2} - 288 \, A^{2} a^{3} b c d^{3} + 72 \, A^{2} a^{4} d^{4} + 12 \, {\left(25 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n^{2} - 12 \, {\left(A B b^{4} c d^{3} - A B a b^{3} d^{4}\right)} n\right)} x^{3} + {\left(415 \, B^{2} b^{4} c^{4} - 576 \, B^{2} a b^{3} c^{3} d + 216 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 64 \, B^{2} a^{3} b c d^{3} + 9 \, B^{2} a^{4} d^{4}\right)} n^{2} + 6 \, {\left({\left(163 \, B^{2} b^{4} c^{2} d^{2} - 176 \, B^{2} a b^{3} c d^{3} + 13 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2} - 12 \, {\left(7 \, A B b^{4} c^{2} d^{2} - 8 \, A B a b^{3} c d^{3} + A B a^{2} b^{2} d^{4}\right)} n\right)} x^{2} + 72 \, {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3} + B^{2} a^{4} d^{4}\right)} \log\left(e\right)^{2} - 72 \, {\left(B^{2} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{2} b^{4} c d^{3} n^{2} x^{3} + 6 \, B^{2} b^{4} c^{2} d^{2} n^{2} x^{2} + 4 \, B^{2} b^{4} c^{3} d n^{2} x + {\left(4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3} - B^{2} a^{4} d^{4}\right)} n^{2}\right)} \log\left(\frac{b x + a}{d x + c}\right)^{2} - 12 \, {\left(25 \, A B b^{4} c^{4} - 48 \, A B a b^{3} c^{3} d + 36 \, A B a^{2} b^{2} c^{2} d^{2} - 16 \, A B a^{3} b c d^{3} + 3 \, A B a^{4} d^{4}\right)} n + 4 \, {\left({\left(271 \, B^{2} b^{4} c^{3} d - 324 \, B^{2} a b^{3} c^{2} d^{2} + 60 \, B^{2} a^{2} b^{2} c d^{3} - 7 \, B^{2} a^{3} b d^{4}\right)} n^{2} - 12 \, {\left(13 \, A B b^{4} c^{3} d - 18 \, A B a b^{3} c^{2} d^{2} + 6 \, A B a^{2} b^{2} c d^{3} - A B a^{3} b d^{4}\right)} n\right)} x + 12 \, {\left(12 \, A B b^{4} c^{4} - 48 \, A B a b^{3} c^{3} d + 72 \, A B a^{2} b^{2} c^{2} d^{2} - 48 \, A B a^{3} b c d^{3} + 12 \, A B a^{4} d^{4} - 12 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n x^{3} - 6 \, {\left(7 \, B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} + B^{2} a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(13 \, B^{2} b^{4} c^{3} d - 18 \, B^{2} a b^{3} c^{2} d^{2} + 6 \, B^{2} a^{2} b^{2} c d^{3} - B^{2} a^{3} b d^{4}\right)} n x - {\left(25 \, B^{2} b^{4} c^{4} - 48 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 16 \, B^{2} a^{3} b c d^{3} + 3 \, B^{2} a^{4} d^{4}\right)} n - 12 \, {\left(B^{2} b^{4} d^{4} n x^{4} + 4 \, B^{2} b^{4} c d^{3} n x^{3} + 6 \, B^{2} b^{4} c^{2} d^{2} n x^{2} + 4 \, B^{2} b^{4} c^{3} d n x + {\left(4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3} - B^{2} a^{4} d^{4}\right)} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \log\left(e\right) + 12 \, {\left({\left(25 \, B^{2} b^{4} d^{4} n^{2} - 12 \, A B b^{4} d^{4} n\right)} x^{4} - 4 \, {\left(12 \, A B b^{4} c d^{3} n - {\left(22 \, B^{2} b^{4} c d^{3} + 3 \, B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} + {\left(48 \, B^{2} a b^{3} c^{3} d - 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 16 \, B^{2} a^{3} b c d^{3} - 3 \, B^{2} a^{4} d^{4}\right)} n^{2} - 6 \, {\left(12 \, A B b^{4} c^{2} d^{2} n - {\left(18 \, B^{2} b^{4} c^{2} d^{2} + 8 \, B^{2} a b^{3} c d^{3} - B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(4 \, A B a b^{3} c^{3} d - 6 \, A B a^{2} b^{2} c^{2} d^{2} + 4 \, A B a^{3} b c d^{3} - A B a^{4} d^{4}\right)} n - 4 \, {\left(12 \, A B b^{4} c^{3} d n - {\left(12 \, B^{2} b^{4} c^{3} d + 18 \, B^{2} a b^{3} c^{2} d^{2} - 6 \, B^{2} a^{2} b^{2} c d^{3} + B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{288 \, {\left({\left(b^{4} c^{4} d^{5} - 4 \, a b^{3} c^{3} d^{6} + 6 \, a^{2} b^{2} c^{2} d^{7} - 4 \, a^{3} b c d^{8} + a^{4} d^{9}\right)} g^{5} x^{4} + 4 \, {\left(b^{4} c^{5} d^{4} - 4 \, a b^{3} c^{4} d^{5} + 6 \, a^{2} b^{2} c^{3} d^{6} - 4 \, a^{3} b c^{2} d^{7} + a^{4} c d^{8}\right)} g^{5} x^{3} + 6 \, {\left(b^{4} c^{6} d^{3} - 4 \, a b^{3} c^{5} d^{4} + 6 \, a^{2} b^{2} c^{4} d^{5} - 4 \, a^{3} b c^{3} d^{6} + a^{4} c^{2} d^{7}\right)} g^{5} x^{2} + 4 \, {\left(b^{4} c^{7} d^{2} - 4 \, a b^{3} c^{6} d^{3} + 6 \, a^{2} b^{2} c^{5} d^{4} - 4 \, a^{3} b c^{4} d^{5} + a^{4} c^{3} d^{6}\right)} g^{5} x + {\left(b^{4} c^{8} d - 4 \, a b^{3} c^{7} d^{2} + 6 \, a^{2} b^{2} c^{6} d^{3} - 4 \, a^{3} b c^{5} d^{4} + a^{4} c^{4} d^{5}\right)} g^{5}\right)}}"," ",0,"-1/288*(72*A^2*b^4*c^4 - 288*A^2*a*b^3*c^3*d + 432*A^2*a^2*b^2*c^2*d^2 - 288*A^2*a^3*b*c*d^3 + 72*A^2*a^4*d^4 + 12*(25*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n^2 - 12*(A*B*b^4*c*d^3 - A*B*a*b^3*d^4)*n)*x^3 + (415*B^2*b^4*c^4 - 576*B^2*a*b^3*c^3*d + 216*B^2*a^2*b^2*c^2*d^2 - 64*B^2*a^3*b*c*d^3 + 9*B^2*a^4*d^4)*n^2 + 6*((163*B^2*b^4*c^2*d^2 - 176*B^2*a*b^3*c*d^3 + 13*B^2*a^2*b^2*d^4)*n^2 - 12*(7*A*B*b^4*c^2*d^2 - 8*A*B*a*b^3*c*d^3 + A*B*a^2*b^2*d^4)*n)*x^2 + 72*(B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3 + B^2*a^4*d^4)*log(e)^2 - 72*(B^2*b^4*d^4*n^2*x^4 + 4*B^2*b^4*c*d^3*n^2*x^3 + 6*B^2*b^4*c^2*d^2*n^2*x^2 + 4*B^2*b^4*c^3*d*n^2*x + (4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3 - B^2*a^4*d^4)*n^2)*log((b*x + a)/(d*x + c))^2 - 12*(25*A*B*b^4*c^4 - 48*A*B*a*b^3*c^3*d + 36*A*B*a^2*b^2*c^2*d^2 - 16*A*B*a^3*b*c*d^3 + 3*A*B*a^4*d^4)*n + 4*((271*B^2*b^4*c^3*d - 324*B^2*a*b^3*c^2*d^2 + 60*B^2*a^2*b^2*c*d^3 - 7*B^2*a^3*b*d^4)*n^2 - 12*(13*A*B*b^4*c^3*d - 18*A*B*a*b^3*c^2*d^2 + 6*A*B*a^2*b^2*c*d^3 - A*B*a^3*b*d^4)*n)*x + 12*(12*A*B*b^4*c^4 - 48*A*B*a*b^3*c^3*d + 72*A*B*a^2*b^2*c^2*d^2 - 48*A*B*a^3*b*c*d^3 + 12*A*B*a^4*d^4 - 12*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n*x^3 - 6*(7*B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 + B^2*a^2*b^2*d^4)*n*x^2 - 4*(13*B^2*b^4*c^3*d - 18*B^2*a*b^3*c^2*d^2 + 6*B^2*a^2*b^2*c*d^3 - B^2*a^3*b*d^4)*n*x - (25*B^2*b^4*c^4 - 48*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 16*B^2*a^3*b*c*d^3 + 3*B^2*a^4*d^4)*n - 12*(B^2*b^4*d^4*n*x^4 + 4*B^2*b^4*c*d^3*n*x^3 + 6*B^2*b^4*c^2*d^2*n*x^2 + 4*B^2*b^4*c^3*d*n*x + (4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3 - B^2*a^4*d^4)*n)*log((b*x + a)/(d*x + c)))*log(e) + 12*((25*B^2*b^4*d^4*n^2 - 12*A*B*b^4*d^4*n)*x^4 - 4*(12*A*B*b^4*c*d^3*n - (22*B^2*b^4*c*d^3 + 3*B^2*a*b^3*d^4)*n^2)*x^3 + (48*B^2*a*b^3*c^3*d - 36*B^2*a^2*b^2*c^2*d^2 + 16*B^2*a^3*b*c*d^3 - 3*B^2*a^4*d^4)*n^2 - 6*(12*A*B*b^4*c^2*d^2*n - (18*B^2*b^4*c^2*d^2 + 8*B^2*a*b^3*c*d^3 - B^2*a^2*b^2*d^4)*n^2)*x^2 - 12*(4*A*B*a*b^3*c^3*d - 6*A*B*a^2*b^2*c^2*d^2 + 4*A*B*a^3*b*c*d^3 - A*B*a^4*d^4)*n - 4*(12*A*B*b^4*c^3*d*n - (12*B^2*b^4*c^3*d + 18*B^2*a*b^3*c^2*d^2 - 6*B^2*a^2*b^2*c*d^3 + B^2*a^3*b*d^4)*n^2)*x)*log((b*x + a)/(d*x + c)))/((b^4*c^4*d^5 - 4*a*b^3*c^3*d^6 + 6*a^2*b^2*c^2*d^7 - 4*a^3*b*c*d^8 + a^4*d^9)*g^5*x^4 + 4*(b^4*c^5*d^4 - 4*a*b^3*c^4*d^5 + 6*a^2*b^2*c^3*d^6 - 4*a^3*b*c^2*d^7 + a^4*c*d^8)*g^5*x^3 + 6*(b^4*c^6*d^3 - 4*a*b^3*c^5*d^4 + 6*a^2*b^2*c^4*d^5 - 4*a^3*b*c^3*d^6 + a^4*c^2*d^7)*g^5*x^2 + 4*(b^4*c^7*d^2 - 4*a*b^3*c^6*d^3 + 6*a^2*b^2*c^5*d^4 - 4*a^3*b*c^4*d^5 + a^4*c^3*d^6)*g^5*x + (b^4*c^8*d - 4*a*b^3*c^7*d^2 + 6*a^2*b^2*c^6*d^3 - 4*a^3*b*c^5*d^4 + a^4*c^4*d^5)*g^5)","B",0
47,0,0,0,0.422444," ","integrate((d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} g^{2} x^{2} + 2 \, c d g^{2} x + c^{2} g^{2}}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((d^2*g^2*x^2 + 2*c*d*g^2*x + c^2*g^2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
48,0,0,0,0.412822," ","integrate((d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{d g x + c g}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((d*g*x + c*g)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
49,0,0,0,0.453666," ","integrate(1/(d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A d g x + A c g + {\left(B d g x + B c g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A*d*g*x + A*c*g + (B*d*g*x + B*c*g)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
50,1,62,0,0.408144," ","integrate(1/(d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(b x + a\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)}}{d x + c}\right)}{{\left(B b c - B a d\right)} g^{2} n}"," ",0,"e^(-(B*log(e) + A)/(B*n))*log_integral((b*x + a)*e^((B*log(e) + A)/(B*n))/(d*x + c))/((B*b*c - B*a*d)*g^2*n)","A",0
51,1,147,0,0.440944," ","integrate(1/(d*g*x+c*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{{\left(b e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(b x + a\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)}}{d x + c}\right) - d \operatorname{log\_integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} e^{\left(\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)\right)} e^{\left(-\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{{\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} g^{3} n}"," ",0,"(b*e^((B*log(e) + A)/(B*n))*log_integral((b*x + a)*e^((B*log(e) + A)/(B*n))/(d*x + c)) - d*log_integral((b^2*x^2 + 2*a*b*x + a^2)*e^(2*(B*log(e) + A)/(B*n))/(d^2*x^2 + 2*c*d*x + c^2)))*e^(-2*(B*log(e) + A)/(B*n))/((B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*g^3*n)","A",0
52,0,0,0,0.424536," ","integrate((d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d^{2} g^{2} x^{2} + 2 \, c d g^{2} x + c^{2} g^{2}}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((d^2*g^2*x^2 + 2*c*d*g^2*x + c^2*g^2)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
53,0,0,0,0.422824," ","integrate((d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d g x + c g}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((d*g*x + c*g)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
54,0,0,0,0.439609," ","integrate(1/(d*g*x+c*g)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} d g x + A^{2} c g + {\left(B^{2} d g x + B^{2} c g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B d g x + A B c g\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A^2*d*g*x + A^2*c*g + (B^2*d*g*x + B^2*c*g)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*d*g*x + A*B*c*g)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
55,1,291,0,0.446795," ","integrate(1/(d*g*x+c*g)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","-\frac{{\left({\left(B b n x + B a n\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} - {\left(A d x + A c + {\left(B d x + B c\right)} \log\left(e\right) + {\left(B d n x + B c n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \operatorname{log\_integral}\left(\frac{{\left(b x + a\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)}}{d x + c}\right)\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{{\left(A B^{2} b c d - A B^{2} a d^{2}\right)} g^{2} n^{2} x + {\left(A B^{2} b c^{2} - A B^{2} a c d\right)} g^{2} n^{2} + {\left({\left(B^{3} b c d - B^{3} a d^{2}\right)} g^{2} n^{2} x + {\left(B^{3} b c^{2} - B^{3} a c d\right)} g^{2} n^{2}\right)} \log\left(e\right) + {\left({\left(B^{3} b c d - B^{3} a d^{2}\right)} g^{2} n^{3} x + {\left(B^{3} b c^{2} - B^{3} a c d\right)} g^{2} n^{3}\right)} \log\left(\frac{b x + a}{d x + c}\right)}"," ",0,"-((B*b*n*x + B*a*n)*e^((B*log(e) + A)/(B*n)) - (A*d*x + A*c + (B*d*x + B*c)*log(e) + (B*d*n*x + B*c*n)*log((b*x + a)/(d*x + c)))*log_integral((b*x + a)*e^((B*log(e) + A)/(B*n))/(d*x + c)))*e^(-(B*log(e) + A)/(B*n))/((A*B^2*b*c*d - A*B^2*a*d^2)*g^2*n^2*x + (A*B^2*b*c^2 - A*B^2*a*c*d)*g^2*n^2 + ((B^3*b*c*d - B^3*a*d^2)*g^2*n^2*x + (B^3*b*c^2 - B^3*a*c*d)*g^2*n^2)*log(e) + ((B^3*b*c*d - B^3*a*d^2)*g^2*n^3*x + (B^3*b*c^2 - B^3*a*c*d)*g^2*n^3)*log((b*x + a)/(d*x + c)))","A",0
56,1,770,0,0.438676," ","integrate(1/(d*g*x+c*g)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","\frac{{\left({\left(A b d^{2} x^{2} + 2 \, A b c d x + A b c^{2} + {\left(B b d^{2} x^{2} + 2 \, B b c d x + B b c^{2}\right)} \log\left(e\right) + {\left(B b d^{2} n x^{2} + 2 \, B b c d n x + B b c^{2} n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(b x + a\right)} e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)}}{d x + c}\right) - {\left({\left(B b^{2} c - B a b d\right)} n x + {\left(B a b c - B a^{2} d\right)} n\right)} e^{\left(\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)} - 2 \, {\left(A d^{3} x^{2} + 2 \, A c d^{2} x + A c^{2} d + {\left(B d^{3} x^{2} + 2 \, B c d^{2} x + B c^{2} d\right)} \log\left(e\right) + {\left(B d^{3} n x^{2} + 2 \, B c d^{2} n x + B c^{2} d n\right)} \log\left(\frac{b x + a}{d x + c}\right)\right)} \operatorname{log\_integral}\left(\frac{{\left(b^{2} x^{2} + 2 \, a b x + a^{2}\right)} e^{\left(\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)\right)} e^{\left(-\frac{2 \, {\left(B \log\left(e\right) + A\right)}}{B n}\right)}}{{\left(A B^{2} b^{2} c^{2} d^{2} - 2 \, A B^{2} a b c d^{3} + A B^{2} a^{2} d^{4}\right)} g^{3} n^{2} x^{2} + 2 \, {\left(A B^{2} b^{2} c^{3} d - 2 \, A B^{2} a b c^{2} d^{2} + A B^{2} a^{2} c d^{3}\right)} g^{3} n^{2} x + {\left(A B^{2} b^{2} c^{4} - 2 \, A B^{2} a b c^{3} d + A B^{2} a^{2} c^{2} d^{2}\right)} g^{3} n^{2} + {\left({\left(B^{3} b^{2} c^{2} d^{2} - 2 \, B^{3} a b c d^{3} + B^{3} a^{2} d^{4}\right)} g^{3} n^{2} x^{2} + 2 \, {\left(B^{3} b^{2} c^{3} d - 2 \, B^{3} a b c^{2} d^{2} + B^{3} a^{2} c d^{3}\right)} g^{3} n^{2} x + {\left(B^{3} b^{2} c^{4} - 2 \, B^{3} a b c^{3} d + B^{3} a^{2} c^{2} d^{2}\right)} g^{3} n^{2}\right)} \log\left(e\right) + {\left({\left(B^{3} b^{2} c^{2} d^{2} - 2 \, B^{3} a b c d^{3} + B^{3} a^{2} d^{4}\right)} g^{3} n^{3} x^{2} + 2 \, {\left(B^{3} b^{2} c^{3} d - 2 \, B^{3} a b c^{2} d^{2} + B^{3} a^{2} c d^{3}\right)} g^{3} n^{3} x + {\left(B^{3} b^{2} c^{4} - 2 \, B^{3} a b c^{3} d + B^{3} a^{2} c^{2} d^{2}\right)} g^{3} n^{3}\right)} \log\left(\frac{b x + a}{d x + c}\right)}"," ",0,"((A*b*d^2*x^2 + 2*A*b*c*d*x + A*b*c^2 + (B*b*d^2*x^2 + 2*B*b*c*d*x + B*b*c^2)*log(e) + (B*b*d^2*n*x^2 + 2*B*b*c*d*n*x + B*b*c^2*n)*log((b*x + a)/(d*x + c)))*e^((B*log(e) + A)/(B*n))*log_integral((b*x + a)*e^((B*log(e) + A)/(B*n))/(d*x + c)) - ((B*b^2*c - B*a*b*d)*n*x + (B*a*b*c - B*a^2*d)*n)*e^(2*(B*log(e) + A)/(B*n)) - 2*(A*d^3*x^2 + 2*A*c*d^2*x + A*c^2*d + (B*d^3*x^2 + 2*B*c*d^2*x + B*c^2*d)*log(e) + (B*d^3*n*x^2 + 2*B*c*d^2*n*x + B*c^2*d*n)*log((b*x + a)/(d*x + c)))*log_integral((b^2*x^2 + 2*a*b*x + a^2)*e^(2*(B*log(e) + A)/(B*n))/(d^2*x^2 + 2*c*d*x + c^2)))*e^(-2*(B*log(e) + A)/(B*n))/((A*B^2*b^2*c^2*d^2 - 2*A*B^2*a*b*c*d^3 + A*B^2*a^2*d^4)*g^3*n^2*x^2 + 2*(A*B^2*b^2*c^3*d - 2*A*B^2*a*b*c^2*d^2 + A*B^2*a^2*c*d^3)*g^3*n^2*x + (A*B^2*b^2*c^4 - 2*A*B^2*a*b*c^3*d + A*B^2*a^2*c^2*d^2)*g^3*n^2 + ((B^3*b^2*c^2*d^2 - 2*B^3*a*b*c*d^3 + B^3*a^2*d^4)*g^3*n^2*x^2 + 2*(B^3*b^2*c^3*d - 2*B^3*a*b*c^2*d^2 + B^3*a^2*c*d^3)*g^3*n^2*x + (B^3*b^2*c^4 - 2*B^3*a*b*c^3*d + B^3*a^2*c^2*d^2)*g^3*n^2)*log(e) + ((B^3*b^2*c^2*d^2 - 2*B^3*a*b*c*d^3 + B^3*a^2*d^4)*g^3*n^3*x^2 + 2*(B^3*b^2*c^3*d - 2*B^3*a*b*c^2*d^2 + B^3*a^2*c*d^3)*g^3*n^3*x + (B^3*b^2*c^4 - 2*B^3*a*b*c^3*d + B^3*a^2*c^2*d^2)*g^3*n^3)*log((b*x + a)/(d*x + c)))","B",0
57,1,736,0,1.062225," ","integrate((g*x+f)^4*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} + 3 \, {\left(20 \, A b^{5} d^{5} f g^{3} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{4} n\right)} x^{4} + 4 \, {\left(30 \, A b^{5} d^{5} f^{2} g^{2} - {\left(5 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f g^{3} - {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} g^{4}\right)} n\right)} x^{3} + 6 \, {\left(20 \, A b^{5} d^{5} f^{3} g - {\left(10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{2} g^{2} - 5 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f g^{3} + {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} g^{4}\right)} n\right)} x^{2} + 12 \, {\left(5 \, B a b^{4} d^{5} f^{4} - 10 \, B a^{2} b^{3} d^{5} f^{3} g + 10 \, B a^{3} b^{2} d^{5} f^{2} g^{2} - 5 \, B a^{4} b d^{5} f g^{3} + B a^{5} d^{5} g^{4}\right)} n \log\left(b x + a\right) - 12 \, {\left(5 \, B b^{5} c d^{4} f^{4} - 10 \, B b^{5} c^{2} d^{3} f^{3} g + 10 \, B b^{5} c^{3} d^{2} f^{2} g^{2} - 5 \, B b^{5} c^{4} d f g^{3} + B b^{5} c^{5} g^{4}\right)} n \log\left(d x + c\right) + 12 \, {\left(5 \, A b^{5} d^{5} f^{4} - {\left(10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{3} g - 10 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f^{2} g^{2} + 5 \, {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} f g^{3} - {\left(B b^{5} c^{4} d - B a^{4} b d^{5}\right)} g^{4}\right)} n\right)} x + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B b^{5} d^{5} f g^{3} x^{4} + 10 \, B b^{5} d^{5} f^{2} g^{2} x^{3} + 10 \, B b^{5} d^{5} f^{3} g x^{2} + 5 \, B b^{5} d^{5} f^{4} x\right)} \log\left(e\right) + 12 \, {\left(B b^{5} d^{5} g^{4} n x^{5} + 5 \, B b^{5} d^{5} f g^{3} n x^{4} + 10 \, B b^{5} d^{5} f^{2} g^{2} n x^{3} + 10 \, B b^{5} d^{5} f^{3} g n x^{2} + 5 \, B b^{5} d^{5} f^{4} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{60 \, b^{5} d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 + 3*(20*A*b^5*d^5*f*g^3 - (B*b^5*c*d^4 - B*a*b^4*d^5)*g^4*n)*x^4 + 4*(30*A*b^5*d^5*f^2*g^2 - (5*(B*b^5*c*d^4 - B*a*b^4*d^5)*f*g^3 - (B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*g^4)*n)*x^3 + 6*(20*A*b^5*d^5*f^3*g - (10*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^2*g^2 - 5*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f*g^3 + (B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*g^4)*n)*x^2 + 12*(5*B*a*b^4*d^5*f^4 - 10*B*a^2*b^3*d^5*f^3*g + 10*B*a^3*b^2*d^5*f^2*g^2 - 5*B*a^4*b*d^5*f*g^3 + B*a^5*d^5*g^4)*n*log(b*x + a) - 12*(5*B*b^5*c*d^4*f^4 - 10*B*b^5*c^2*d^3*f^3*g + 10*B*b^5*c^3*d^2*f^2*g^2 - 5*B*b^5*c^4*d*f*g^3 + B*b^5*c^5*g^4)*n*log(d*x + c) + 12*(5*A*b^5*d^5*f^4 - (10*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^3*g - 10*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f^2*g^2 + 5*(B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*f*g^3 - (B*b^5*c^4*d - B*a^4*b*d^5)*g^4)*n)*x + 12*(B*b^5*d^5*g^4*x^5 + 5*B*b^5*d^5*f*g^3*x^4 + 10*B*b^5*d^5*f^2*g^2*x^3 + 10*B*b^5*d^5*f^3*g*x^2 + 5*B*b^5*d^5*f^4*x)*log(e) + 12*(B*b^5*d^5*g^4*n*x^5 + 5*B*b^5*d^5*f*g^3*n*x^4 + 10*B*b^5*d^5*f^2*g^2*n*x^3 + 10*B*b^5*d^5*f^3*g*n*x^2 + 5*B*b^5*d^5*f^4*n*x)*log((b*x + a)/(d*x + c)))/(b^5*d^5)","B",0
58,1,521,0,0.654292," ","integrate((g*x+f)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} + 2 \, {\left(12 \, A b^{4} d^{4} f g^{2} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{3} n\right)} x^{3} + 3 \, {\left(12 \, A b^{4} d^{4} f^{2} g - {\left(4 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f g^{2} - {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} g^{3}\right)} n\right)} x^{2} + 6 \, {\left(4 \, B a b^{3} d^{4} f^{3} - 6 \, B a^{2} b^{2} d^{4} f^{2} g + 4 \, B a^{3} b d^{4} f g^{2} - B a^{4} d^{4} g^{3}\right)} n \log\left(b x + a\right) - 6 \, {\left(4 \, B b^{4} c d^{3} f^{3} - 6 \, B b^{4} c^{2} d^{2} f^{2} g + 4 \, B b^{4} c^{3} d f g^{2} - B b^{4} c^{4} g^{3}\right)} n \log\left(d x + c\right) + 6 \, {\left(4 \, A b^{4} d^{4} f^{3} - {\left(6 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f^{2} g - 4 \, {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} f g^{2} + {\left(B b^{4} c^{3} d - B a^{3} b d^{4}\right)} g^{3}\right)} n\right)} x + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B b^{4} d^{4} f g^{2} x^{3} + 6 \, B b^{4} d^{4} f^{2} g x^{2} + 4 \, B b^{4} d^{4} f^{3} x\right)} \log\left(e\right) + 6 \, {\left(B b^{4} d^{4} g^{3} n x^{4} + 4 \, B b^{4} d^{4} f g^{2} n x^{3} + 6 \, B b^{4} d^{4} f^{2} g n x^{2} + 4 \, B b^{4} d^{4} f^{3} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{24 \, b^{4} d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 + 2*(12*A*b^4*d^4*f*g^2 - (B*b^4*c*d^3 - B*a*b^3*d^4)*g^3*n)*x^3 + 3*(12*A*b^4*d^4*f^2*g - (4*(B*b^4*c*d^3 - B*a*b^3*d^4)*f*g^2 - (B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*g^3)*n)*x^2 + 6*(4*B*a*b^3*d^4*f^3 - 6*B*a^2*b^2*d^4*f^2*g + 4*B*a^3*b*d^4*f*g^2 - B*a^4*d^4*g^3)*n*log(b*x + a) - 6*(4*B*b^4*c*d^3*f^3 - 6*B*b^4*c^2*d^2*f^2*g + 4*B*b^4*c^3*d*f*g^2 - B*b^4*c^4*g^3)*n*log(d*x + c) + 6*(4*A*b^4*d^4*f^3 - (6*(B*b^4*c*d^3 - B*a*b^3*d^4)*f^2*g - 4*(B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*f*g^2 + (B*b^4*c^3*d - B*a^3*b*d^4)*g^3)*n)*x + 6*(B*b^4*d^4*g^3*x^4 + 4*B*b^4*d^4*f*g^2*x^3 + 6*B*b^4*d^4*f^2*g*x^2 + 4*B*b^4*d^4*f^3*x)*log(e) + 6*(B*b^4*d^4*g^3*n*x^4 + 4*B*b^4*d^4*f*g^2*n*x^3 + 6*B*b^4*d^4*f^2*g*n*x^2 + 4*B*b^4*d^4*f^3*n*x)*log((b*x + a)/(d*x + c)))/(b^4*d^4)","B",0
59,1,334,0,0.506799," ","integrate((g*x+f)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} + {\left(6 \, A b^{3} d^{3} f g - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g^{2} n\right)} x^{2} + 2 \, {\left(3 \, B a b^{2} d^{3} f^{2} - 3 \, B a^{2} b d^{3} f g + B a^{3} d^{3} g^{2}\right)} n \log\left(b x + a\right) - 2 \, {\left(3 \, B b^{3} c d^{2} f^{2} - 3 \, B b^{3} c^{2} d f g + B b^{3} c^{3} g^{2}\right)} n \log\left(d x + c\right) + 2 \, {\left(3 \, A b^{3} d^{3} f^{2} - {\left(3 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} f g - {\left(B b^{3} c^{2} d - B a^{2} b d^{3}\right)} g^{2}\right)} n\right)} x + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B b^{3} d^{3} f g x^{2} + 3 \, B b^{3} d^{3} f^{2} x\right)} \log\left(e\right) + 2 \, {\left(B b^{3} d^{3} g^{2} n x^{3} + 3 \, B b^{3} d^{3} f g n x^{2} + 3 \, B b^{3} d^{3} f^{2} n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{6 \, b^{3} d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 + (6*A*b^3*d^3*f*g - (B*b^3*c*d^2 - B*a*b^2*d^3)*g^2*n)*x^2 + 2*(3*B*a*b^2*d^3*f^2 - 3*B*a^2*b*d^3*f*g + B*a^3*d^3*g^2)*n*log(b*x + a) - 2*(3*B*b^3*c*d^2*f^2 - 3*B*b^3*c^2*d*f*g + B*b^3*c^3*g^2)*n*log(d*x + c) + 2*(3*A*b^3*d^3*f^2 - (3*(B*b^3*c*d^2 - B*a*b^2*d^3)*f*g - (B*b^3*c^2*d - B*a^2*b*d^3)*g^2)*n)*x + 2*(B*b^3*d^3*g^2*x^3 + 3*B*b^3*d^3*f*g*x^2 + 3*B*b^3*d^3*f^2*x)*log(e) + 2*(B*b^3*d^3*g^2*n*x^3 + 3*B*b^3*d^3*f*g*n*x^2 + 3*B*b^3*d^3*f^2*n*x)*log((b*x + a)/(d*x + c)))/(b^3*d^3)","B",0
60,1,179,0,0.443960," ","integrate((g*x+f)*(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + {\left(2 \, B a b d^{2} f - B a^{2} d^{2} g\right)} n \log\left(b x + a\right) - {\left(2 \, B b^{2} c d f - B b^{2} c^{2} g\right)} n \log\left(d x + c\right) + {\left(2 \, A b^{2} d^{2} f - {\left(B b^{2} c d - B a b d^{2}\right)} g n\right)} x + {\left(B b^{2} d^{2} g x^{2} + 2 \, B b^{2} d^{2} f x\right)} \log\left(e\right) + {\left(B b^{2} d^{2} g n x^{2} + 2 \, B b^{2} d^{2} f n x\right)} \log\left(\frac{b x + a}{d x + c}\right)}{2 \, b^{2} d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + (2*B*a*b*d^2*f - B*a^2*d^2*g)*n*log(b*x + a) - (2*B*b^2*c*d*f - B*b^2*c^2*g)*n*log(d*x + c) + (2*A*b^2*d^2*f - (B*b^2*c*d - B*a*b*d^2)*g*n)*x + (B*b^2*d^2*g*x^2 + 2*B*b^2*d^2*f*x)*log(e) + (B*b^2*d^2*g*n*x^2 + 2*B*b^2*d^2*f*n*x)*log((b*x + a)/(d*x + c)))/(b^2*d^2)","A",0
61,1,63,0,0.428558," ","integrate(A+B*log(e*((b*x+a)/(d*x+c))^n),x, algorithm=""fricas"")","\frac{B b d n x \log\left(\frac{b x + a}{d x + c}\right) + B a d n \log\left(b x + a\right) - B b c n \log\left(d x + c\right) + B b d x \log\left(e\right) + A b d x}{b d}"," ",0,"(B*b*d*n*x*log((b*x + a)/(d*x + c)) + B*a*d*n*log(b*x + a) - B*b*c*n*log(d*x + c) + B*b*d*x*log(e) + A*b*d*x)/(b*d)","A",0
62,0,0,0,0.420844," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}{g x + f}, x\right)"," ",0,"integral((B*log(e*((b*x + a)/(d*x + c))^n) + A)/(g*x + f), x)","F",0
63,1,294,0,5.394795," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^2,x, algorithm=""fricas"")","-\frac{A b d f^{2} + A a c g^{2} - {\left(A b c + A a d\right)} f g + {\left(B b d f^{2} + B a c g^{2} - {\left(B b c + B a d\right)} f g\right)} n \log\left(\frac{b x + a}{d x + c}\right) - {\left({\left(B b d f g - B b c g^{2}\right)} n x + {\left(B b d f^{2} - B b c f g\right)} n\right)} \log\left(b x + a\right) + {\left({\left(B b d f g - B a d g^{2}\right)} n x + {\left(B b d f^{2} - B a d f g\right)} n\right)} \log\left(d x + c\right) - {\left({\left(B b c - B a d\right)} g^{2} n x + {\left(B b c - B a d\right)} f g n\right)} \log\left(g x + f\right) + {\left(B b d f^{2} + B a c g^{2} - {\left(B b c + B a d\right)} f g\right)} \log\left(e\right)}{b d f^{3} g + a c f g^{3} - {\left(b c + a d\right)} f^{2} g^{2} + {\left(b d f^{2} g^{2} + a c g^{4} - {\left(b c + a d\right)} f g^{3}\right)} x}"," ",0,"-(A*b*d*f^2 + A*a*c*g^2 - (A*b*c + A*a*d)*f*g + (B*b*d*f^2 + B*a*c*g^2 - (B*b*c + B*a*d)*f*g)*n*log((b*x + a)/(d*x + c)) - ((B*b*d*f*g - B*b*c*g^2)*n*x + (B*b*d*f^2 - B*b*c*f*g)*n)*log(b*x + a) + ((B*b*d*f*g - B*a*d*g^2)*n*x + (B*b*d*f^2 - B*a*d*f*g)*n)*log(d*x + c) - ((B*b*c - B*a*d)*g^2*n*x + (B*b*c - B*a*d)*f*g*n)*log(g*x + f) + (B*b*d*f^2 + B*a*c*g^2 - (B*b*c + B*a*d)*f*g)*log(e))/(b*d*f^3*g + a*c*f*g^3 - (b*c + a*d)*f^2*g^2 + (b*d*f^2*g^2 + a*c*g^4 - (b*c + a*d)*f*g^3)*x)","B",0
64,1,1175,0,77.625045," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^3,x, algorithm=""fricas"")","-\frac{A b^{2} d^{2} f^{4} + A a^{2} c^{2} g^{4} - 2 \, {\left(A b^{2} c d + A a b d^{2}\right)} f^{3} g + {\left(A b^{2} c^{2} + 4 \, A a b c d + A a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left(A a b c^{2} + A a^{2} c d\right)} f g^{3} + {\left({\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3} + {\left(B a b c^{2} - B a^{2} c d\right)} g^{4}\right)} n x + {\left(B b^{2} d^{2} f^{4} + B a^{2} c^{2} g^{4} - 2 \, {\left(B b^{2} c d + B a b d^{2}\right)} f^{3} g + {\left(B b^{2} c^{2} + 4 \, B a b c d + B a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} f g^{3}\right)} n \log\left(\frac{b x + a}{d x + c}\right) + {\left({\left(B b^{2} c d - B a b d^{2}\right)} f^{3} g - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f^{2} g^{2} + {\left(B a b c^{2} - B a^{2} c d\right)} f g^{3}\right)} n - {\left({\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B b^{2} c d f g^{3} + B b^{2} c^{2} g^{4}\right)} n x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B b^{2} c d f^{2} g^{2} + B b^{2} c^{2} f g^{3}\right)} n x + {\left(B b^{2} d^{2} f^{4} - 2 \, B b^{2} c d f^{3} g + B b^{2} c^{2} f^{2} g^{2}\right)} n\right)} \log\left(b x + a\right) + {\left({\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B a b d^{2} f g^{3} + B a^{2} d^{2} g^{4}\right)} n x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B a b d^{2} f^{2} g^{2} + B a^{2} d^{2} f g^{3}\right)} n x + {\left(B b^{2} d^{2} f^{4} - 2 \, B a b d^{2} f^{3} g + B a^{2} d^{2} f^{2} g^{2}\right)} n\right)} \log\left(d x + c\right) - {\left({\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f g^{3} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g^{4}\right)} n x^{2} + 2 \, {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3}\right)} n x + {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{3} g - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f^{2} g^{2}\right)} n\right)} \log\left(g x + f\right) + {\left(B b^{2} d^{2} f^{4} + B a^{2} c^{2} g^{4} - 2 \, {\left(B b^{2} c d + B a b d^{2}\right)} f^{3} g + {\left(B b^{2} c^{2} + 4 \, B a b c d + B a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} f g^{3}\right)} \log\left(e\right)}{2 \, {\left(b^{2} d^{2} f^{6} g + a^{2} c^{2} f^{2} g^{5} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{5} g^{2} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{4} g^{3} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{3} g^{4} + {\left(b^{2} d^{2} f^{4} g^{3} + a^{2} c^{2} g^{7} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{3} g^{4} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{2} g^{5} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f g^{6}\right)} x^{2} + 2 \, {\left(b^{2} d^{2} f^{5} g^{2} + a^{2} c^{2} f g^{6} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{4} g^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{3} g^{4} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{2} g^{5}\right)} x\right)}}"," ",0,"-1/2*(A*b^2*d^2*f^4 + A*a^2*c^2*g^4 - 2*(A*b^2*c*d + A*a*b*d^2)*f^3*g + (A*b^2*c^2 + 4*A*a*b*c*d + A*a^2*d^2)*f^2*g^2 - 2*(A*a*b*c^2 + A*a^2*c*d)*f*g^3 + ((B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3 + (B*a*b*c^2 - B*a^2*c*d)*g^4)*n*x + (B*b^2*d^2*f^4 + B*a^2*c^2*g^4 - 2*(B*b^2*c*d + B*a*b*d^2)*f^3*g + (B*b^2*c^2 + 4*B*a*b*c*d + B*a^2*d^2)*f^2*g^2 - 2*(B*a*b*c^2 + B*a^2*c*d)*f*g^3)*n*log((b*x + a)/(d*x + c)) + ((B*b^2*c*d - B*a*b*d^2)*f^3*g - (B*b^2*c^2 - B*a^2*d^2)*f^2*g^2 + (B*a*b*c^2 - B*a^2*c*d)*f*g^3)*n - ((B*b^2*d^2*f^2*g^2 - 2*B*b^2*c*d*f*g^3 + B*b^2*c^2*g^4)*n*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*b^2*c*d*f^2*g^2 + B*b^2*c^2*f*g^3)*n*x + (B*b^2*d^2*f^4 - 2*B*b^2*c*d*f^3*g + B*b^2*c^2*f^2*g^2)*n)*log(b*x + a) + ((B*b^2*d^2*f^2*g^2 - 2*B*a*b*d^2*f*g^3 + B*a^2*d^2*g^4)*n*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*a*b*d^2*f^2*g^2 + B*a^2*d^2*f*g^3)*n*x + (B*b^2*d^2*f^4 - 2*B*a*b*d^2*f^3*g + B*a^2*d^2*f^2*g^2)*n)*log(d*x + c) - ((2*(B*b^2*c*d - B*a*b*d^2)*f*g^3 - (B*b^2*c^2 - B*a^2*d^2)*g^4)*n*x^2 + 2*(2*(B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3)*n*x + (2*(B*b^2*c*d - B*a*b*d^2)*f^3*g - (B*b^2*c^2 - B*a^2*d^2)*f^2*g^2)*n)*log(g*x + f) + (B*b^2*d^2*f^4 + B*a^2*c^2*g^4 - 2*(B*b^2*c*d + B*a*b*d^2)*f^3*g + (B*b^2*c^2 + 4*B*a*b*c*d + B*a^2*d^2)*f^2*g^2 - 2*(B*a*b*c^2 + B*a^2*c*d)*f*g^3)*log(e))/(b^2*d^2*f^6*g + a^2*c^2*f^2*g^5 - 2*(b^2*c*d + a*b*d^2)*f^5*g^2 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^4*g^3 - 2*(a*b*c^2 + a^2*c*d)*f^3*g^4 + (b^2*d^2*f^4*g^3 + a^2*c^2*g^7 - 2*(b^2*c*d + a*b*d^2)*f^3*g^4 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^2*g^5 - 2*(a*b*c^2 + a^2*c*d)*f*g^6)*x^2 + 2*(b^2*d^2*f^5*g^2 + a^2*c^2*f*g^6 - 2*(b^2*c*d + a*b*d^2)*f^4*g^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^3*g^4 - 2*(a*b*c^2 + a^2*c*d)*f^2*g^5)*x)","B",0
65,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))/(g*x+f)^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,0,0,0,1.018668," ","integrate((g*x+f)^3*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
68,0,0,0,0.915752," ","integrate((g*x+f)^2*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
69,0,0,0,0.917906," ","integrate((g*x+f)*(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right), x\right)"," ",0,"integral(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g*x + A*B*f)*log(e*((b*x + a)/(d*x + c))^n), x)","F",0
70,0,0,0,0.908119," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}, x\right)"," ",0,"integral(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2, x)","F",0
71,0,0,0,0.725839," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{g x + f}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(g*x + f), x)","F",0
72,0,0,0,0.730638," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
73,0,0,0,0.511748," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
74,0,0,0,0.645454," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
75,0,0,0,0.751114," ","integrate((A+B*log(e*((b*x+a)/(d*x+c))^n))^2/(g*x+f)^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}{g^{5} x^{5} + 5 \, f g^{4} x^{4} + 10 \, f^{2} g^{3} x^{3} + 10 \, f^{3} g^{2} x^{2} + 5 \, f^{4} g x + f^{5}}, x\right)"," ",0,"integral((B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2)/(g^5*x^5 + 5*f*g^4*x^4 + 10*f^2*g^3*x^3 + 10*f^3*g^2*x^2 + 5*f^4*g*x + f^5), x)","F",0
76,0,0,0,0.705855," ","integrate((g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
77,0,0,0,0.659167," ","integrate((g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral((g*x + f)/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
78,0,0,0,0.698057," ","integrate(1/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A}, x\right)"," ",0,"integral(1/(B*log(e*((b*x + a)/(d*x + c))^n) + A), x)","F",0
79,0,0,0,0.941582," ","integrate(1/(g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g x + A f + {\left(B g x + B f\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A*g*x + A*f + (B*g*x + B*f)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
80,0,0,0,0.708107," ","integrate(1/(g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{2} x^{2} + 2 \, A f g x + A f^{2} + {\left(B g^{2} x^{2} + 2 \, B f g x + B f^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A*g^2*x^2 + 2*A*f*g*x + A*f^2 + (B*g^2*x^2 + 2*B*f*g*x + B*f^2)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
81,0,0,0,0.821041," ","integrate(1/(g*x+f)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{3} x^{3} + 3 \, A f g^{2} x^{2} + 3 \, A f^{2} g x + A f^{3} + {\left(B g^{3} x^{3} + 3 \, B f g^{2} x^{2} + 3 \, B f^{2} g x + B f^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A*g^3*x^3 + 3*A*f*g^2*x^2 + 3*A*f^2*g*x + A*f^3 + (B*g^3*x^3 + 3*B*f*g^2*x^2 + 3*B*f^2*g*x + B*f^3)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
82,0,0,0,0.733676," ","integrate((g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
83,0,0,0,0.796825," ","integrate((g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral((g*x + f)/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
84,0,0,0,0.834887," ","integrate(1/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B^{2} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, A B \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right) + A^{2}}, x\right)"," ",0,"integral(1/(B^2*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*A*B*log(e*((b*x + a)/(d*x + c))^n) + A^2), x)","F",0
85,0,0,0,0.689586," ","integrate(1/(g*x+f)/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g*x + A*B*f)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
86,0,0,0,0.650139," ","integrate(1/(g*x+f)^2/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
87,0,0,0,0.622597," ","integrate(1/(g*x+f)^3/(A+B*log(e*((b*x+a)/(d*x+c))^n))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(e \left(\frac{b x + a}{d x + c}\right)^{n}\right)}, x\right)"," ",0,"integral(1/(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log(e*((b*x + a)/(d*x + c))^n)^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log(e*((b*x + a)/(d*x + c))^n)), x)","F",0
88,1,431,0,0.909035," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} + 12 \, B a^{5} d^{5} g^{4} \log\left(b x + a\right) - 3 \, {\left(B b^{5} c d^{4} - {\left(20 \, A + B\right)} a b^{4} d^{5}\right)} g^{4} x^{4} + 4 \, {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} + 2 \, {\left(15 \, A + 2 \, B\right)} a^{2} b^{3} d^{5}\right)} g^{4} x^{3} - 6 \, {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} - 2 \, {\left(10 \, A + 3 \, B\right)} a^{3} b^{2} d^{5}\right)} g^{4} x^{2} + 12 \, {\left(B b^{5} c^{4} d - 5 \, B a b^{4} c^{3} d^{2} + 10 \, B a^{2} b^{3} c^{2} d^{3} - 10 \, B a^{3} b^{2} c d^{4} + {\left(5 \, A + 4 \, B\right)} a^{4} b d^{5}\right)} g^{4} x - 12 \, {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} g^{4} \log\left(d x + c\right) + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B a b^{4} d^{5} g^{4} x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} x^{2} + 5 \, B a^{4} b d^{5} g^{4} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{60 \, b d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 + 12*B*a^5*d^5*g^4*log(b*x + a) - 3*(B*b^5*c*d^4 - (20*A + B)*a*b^4*d^5)*g^4*x^4 + 4*(B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 + 2*(15*A + 2*B)*a^2*b^3*d^5)*g^4*x^3 - 6*(B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 - 2*(10*A + 3*B)*a^3*b^2*d^5)*g^4*x^2 + 12*(B*b^5*c^4*d - 5*B*a*b^4*c^3*d^2 + 10*B*a^2*b^3*c^2*d^3 - 10*B*a^3*b^2*c*d^4 + (5*A + 4*B)*a^4*b*d^5)*g^4*x - 12*(B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*g^4*log(d*x + c) + 12*(B*b^5*d^5*g^4*x^5 + 5*B*a*b^4*d^5*g^4*x^4 + 10*B*a^2*b^3*d^5*g^4*x^3 + 10*B*a^3*b^2*d^5*g^4*x^2 + 5*B*a^4*b*d^5*g^4*x)*log((b*e*x + a*e)/(d*x + c)))/(b*d^5)","B",0
89,1,318,0,1.275175," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} + 6 \, B a^{4} d^{4} g^{3} \log\left(b x + a\right) - 2 \, {\left(B b^{4} c d^{3} - {\left(12 \, A + B\right)} a b^{3} d^{4}\right)} g^{3} x^{3} + 3 \, {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} + 3 \, {\left(4 \, A + B\right)} a^{2} b^{2} d^{4}\right)} g^{3} x^{2} - 6 \, {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} - {\left(4 \, A + 3 \, B\right)} a^{3} b d^{4}\right)} g^{3} x + 6 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} g^{3} \log\left(d x + c\right) + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B a b^{3} d^{4} g^{3} x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} x^{2} + 4 \, B a^{3} b d^{4} g^{3} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{24 \, b d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 + 6*B*a^4*d^4*g^3*log(b*x + a) - 2*(B*b^4*c*d^3 - (12*A + B)*a*b^3*d^4)*g^3*x^3 + 3*(B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 + 3*(4*A + B)*a^2*b^2*d^4)*g^3*x^2 - 6*(B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 - (4*A + 3*B)*a^3*b*d^4)*g^3*x + 6*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*g^3*log(d*x + c) + 6*(B*b^4*d^4*g^3*x^4 + 4*B*a*b^3*d^4*g^3*x^3 + 6*B*a^2*b^2*d^4*g^3*x^2 + 4*B*a^3*b*d^4*g^3*x)*log((b*e*x + a*e)/(d*x + c)))/(b*d^4)","B",0
90,1,222,0,0.858292," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} + 2 \, B a^{3} d^{3} g^{2} \log\left(b x + a\right) - {\left(B b^{3} c d^{2} - {\left(6 \, A + B\right)} a b^{2} d^{3}\right)} g^{2} x^{2} + 2 \, {\left(B b^{3} c^{2} d - 3 \, B a b^{2} c d^{2} + {\left(3 \, A + 2 \, B\right)} a^{2} b d^{3}\right)} g^{2} x - 2 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} g^{2} \log\left(d x + c\right) + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B a b^{2} d^{3} g^{2} x^{2} + 3 \, B a^{2} b d^{3} g^{2} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{6 \, b d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 + 2*B*a^3*d^3*g^2*log(b*x + a) - (B*b^3*c*d^2 - (6*A + B)*a*b^2*d^3)*g^2*x^2 + 2*(B*b^3*c^2*d - 3*B*a*b^2*c*d^2 + (3*A + 2*B)*a^2*b*d^3)*g^2*x - 2*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*g^2*log(d*x + c) + 2*(B*b^3*d^3*g^2*x^3 + 3*B*a*b^2*d^3*g^2*x^2 + 3*B*a^2*b*d^3*g^2*x)*log((b*e*x + a*e)/(d*x + c)))/(b*d^3)","B",0
91,1,125,0,0.584681," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + B a^{2} d^{2} g \log\left(b x + a\right) - {\left(B b^{2} c d - {\left(2 \, A + B\right)} a b d^{2}\right)} g x + {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} g \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B a b d^{2} g x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + B*a^2*d^2*g*log(b*x + a) - (B*b^2*c*d - (2*A + B)*a*b*d^2)*g*x + (B*b^2*c^2 - 2*B*a*b*c*d)*g*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*a*b*d^2*g*x)*log((b*e*x + a*e)/(d*x + c)))/(b*d^2)","A",0
92,0,0,0,0.880243," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}{b g x + a g}, x\right)"," ",0,"integral((B*log((b*e*x + a*e)/(d*x + c)) + A)/(b*g*x + a*g), x)","F",0
93,1,83,0,0.499572," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A + B\right)} b c - {\left(A + B\right)} a d + {\left(B b d x + B b c\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A + B)*b*c - (A + B)*a*d + (B*b*d*x + B*b*c)*log((b*e*x + a*e)/(d*x + c)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
94,1,217,0,0.472298," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, A + B\right)} b^{2} c^{2} - 4 \, {\left(A + B\right)} a b c d + {\left(2 \, A + 3 \, B\right)} a^{2} d^{2} - 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} x - 2 \, {\left(B b^{2} d^{2} x^{2} + 2 \, B a b d^{2} x - B b^{2} c^{2} + 2 \, B a b c d\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*((2*A + B)*b^2*c^2 - 4*(A + B)*a*b*c*d + (2*A + 3*B)*a^2*d^2 - 2*(B*b^2*c*d - B*a*b*d^2)*x - 2*(B*b^2*d^2*x^2 + 2*B*a*b*d^2*x - B*b^2*c^2 + 2*B*a*b*c*d)*log((b*e*x + a*e)/(d*x + c)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
95,1,406,0,0.473525," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, A + B\right)} b^{3} c^{3} - 9 \, {\left(2 \, A + B\right)} a b^{2} c^{2} d + 18 \, {\left(A + B\right)} a^{2} b c d^{2} - {\left(6 \, A + 11 \, B\right)} a^{3} d^{3} + 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} x + 6 \, {\left(B b^{3} d^{3} x^{3} + 3 \, B a b^{2} d^{3} x^{2} + 3 \, B a^{2} b d^{3} x + B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{18 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/18*(2*(3*A + B)*b^3*c^3 - 9*(2*A + B)*a*b^2*c^2*d + 18*(A + B)*a^2*b*c*d^2 - (6*A + 11*B)*a^3*d^3 + 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*x^2 - 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*x + 6*(B*b^3*d^3*x^3 + 3*B*a*b^2*d^3*x^2 + 3*B*a^2*b*d^3*x + B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*log((b*e*x + a*e)/(d*x + c)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
96,1,629,0,0.493301," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{3 \, {\left(4 \, A + B\right)} b^{4} c^{4} - 16 \, {\left(3 \, A + B\right)} a b^{3} c^{3} d + 36 \, {\left(2 \, A + B\right)} a^{2} b^{2} c^{2} d^{2} - 48 \, {\left(A + B\right)} a^{3} b c d^{3} + {\left(12 \, A + 25 \, B\right)} a^{4} d^{4} - 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} x - 12 \, {\left(B b^{4} d^{4} x^{4} + 4 \, B a b^{3} d^{4} x^{3} + 6 \, B a^{2} b^{2} d^{4} x^{2} + 4 \, B a^{3} b d^{4} x - B b^{4} c^{4} + 4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{48 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/48*(3*(4*A + B)*b^4*c^4 - 16*(3*A + B)*a*b^3*c^3*d + 36*(2*A + B)*a^2*b^2*c^2*d^2 - 48*(A + B)*a^3*b*c*d^3 + (12*A + 25*B)*a^4*d^4 - 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*x^3 + 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*x^2 - 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*x - 12*(B*b^4*d^4*x^4 + 4*B*a*b^3*d^4*x^3 + 6*B*a^2*b^2*d^4*x^2 + 4*B*a^3*b*d^4*x - B*b^4*c^4 + 4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3)*log((b*e*x + a*e)/(d*x + c)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
97,0,0,0,0.463403," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{4} g^{4} x^{4} + 4 \, A^{2} a b^{3} g^{4} x^{3} + 6 \, A^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, A^{2} a^{3} b g^{4} x + A^{2} a^{4} g^{4} + {\left(B^{2} b^{4} g^{4} x^{4} + 4 \, B^{2} a b^{3} g^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, B^{2} a^{3} b g^{4} x + B^{2} a^{4} g^{4}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B b^{4} g^{4} x^{4} + 4 \, A B a b^{3} g^{4} x^{3} + 6 \, A B a^{2} b^{2} g^{4} x^{2} + 4 \, A B a^{3} b g^{4} x + A B a^{4} g^{4}\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*b^4*g^4*x^4 + 4*A^2*a*b^3*g^4*x^3 + 6*A^2*a^2*b^2*g^4*x^2 + 4*A^2*a^3*b*g^4*x + A^2*a^4*g^4 + (B^2*b^4*g^4*x^4 + 4*B^2*a*b^3*g^4*x^3 + 6*B^2*a^2*b^2*g^4*x^2 + 4*B^2*a^3*b*g^4*x + B^2*a^4*g^4)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*b^4*g^4*x^4 + 4*A*B*a*b^3*g^4*x^3 + 6*A*B*a^2*b^2*g^4*x^2 + 4*A*B*a^3*b*g^4*x + A*B*a^4*g^4)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
98,0,0,0,0.482290," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
99,0,0,0,0.438407," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
100,0,0,0,0.431432," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
101,0,0,0,0.416792," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{b g x + a g}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(b*g*x + a*g), x)","F",0
102,1,150,0,0.446900," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} b c - {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a d + {\left(B^{2} b d x + B^{2} b c\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left({\left(A B + B^{2}\right)} b d x + {\left(A B + B^{2}\right)} b c\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A^2 + 2*A*B + 2*B^2)*b*c - (A^2 + 2*A*B + 2*B^2)*a*d + (B^2*b*d*x + B^2*b*c)*log((b*e*x + a*e)/(d*x + c))^2 + 2*((A*B + B^2)*b*d*x + (A*B + B^2)*b*c)*log((b*e*x + a*e)/(d*x + c)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
103,1,367,0,0.428000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, A^{2} + 2 \, A B + B^{2}\right)} b^{2} c^{2} - 4 \, {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a b c d + {\left(2 \, A^{2} + 6 \, A B + 7 \, B^{2}\right)} a^{2} d^{2} - 2 \, {\left(B^{2} b^{2} d^{2} x^{2} + 2 \, B^{2} a b d^{2} x - B^{2} b^{2} c^{2} + 2 \, B^{2} a b c d\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} - 2 \, {\left({\left(2 \, A B + 3 \, B^{2}\right)} b^{2} c d - {\left(2 \, A B + 3 \, B^{2}\right)} a b d^{2}\right)} x - 2 \, {\left({\left(2 \, A B + 3 \, B^{2}\right)} b^{2} d^{2} x^{2} - {\left(2 \, A B + B^{2}\right)} b^{2} c^{2} + 4 \, {\left(A B + B^{2}\right)} a b c d + 2 \, {\left(B^{2} b^{2} c d + 2 \, {\left(A B + B^{2}\right)} a b d^{2}\right)} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*((2*A^2 + 2*A*B + B^2)*b^2*c^2 - 4*(A^2 + 2*A*B + 2*B^2)*a*b*c*d + (2*A^2 + 6*A*B + 7*B^2)*a^2*d^2 - 2*(B^2*b^2*d^2*x^2 + 2*B^2*a*b*d^2*x - B^2*b^2*c^2 + 2*B^2*a*b*c*d)*log((b*e*x + a*e)/(d*x + c))^2 - 2*((2*A*B + 3*B^2)*b^2*c*d - (2*A*B + 3*B^2)*a*b*d^2)*x - 2*((2*A*B + 3*B^2)*b^2*d^2*x^2 - (2*A*B + B^2)*b^2*c^2 + 4*(A*B + B^2)*a*b*c*d + 2*(B^2*b^2*c*d + 2*(A*B + B^2)*a*b*d^2)*x)*log((b*e*x + a*e)/(d*x + c)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
104,1,672,0,0.491355," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(9 \, A^{2} + 6 \, A B + 2 \, B^{2}\right)} b^{3} c^{3} - 27 \, {\left(2 \, A^{2} + 2 \, A B + B^{2}\right)} a b^{2} c^{2} d + 54 \, {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a^{2} b c d^{2} - {\left(18 \, A^{2} + 66 \, A B + 85 \, B^{2}\right)} a^{3} d^{3} + 6 \, {\left({\left(6 \, A B + 11 \, B^{2}\right)} b^{3} c d^{2} - {\left(6 \, A B + 11 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 18 \, {\left(B^{2} b^{3} d^{3} x^{3} + 3 \, B^{2} a b^{2} d^{3} x^{2} + 3 \, B^{2} a^{2} b d^{3} x + B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} - 3 \, {\left({\left(6 \, A B + 5 \, B^{2}\right)} b^{3} c^{2} d - 18 \, {\left(2 \, A B + 3 \, B^{2}\right)} a b^{2} c d^{2} + {\left(30 \, A B + 49 \, B^{2}\right)} a^{2} b d^{3}\right)} x + 6 \, {\left({\left(6 \, A B + 11 \, B^{2}\right)} b^{3} d^{3} x^{3} + 2 \, {\left(3 \, A B + B^{2}\right)} b^{3} c^{3} - 9 \, {\left(2 \, A B + B^{2}\right)} a b^{2} c^{2} d + 18 \, {\left(A B + B^{2}\right)} a^{2} b c d^{2} + 3 \, {\left(2 \, B^{2} b^{3} c d^{2} + 3 \, {\left(2 \, A B + 3 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} - 6 \, {\left(A B + B^{2}\right)} a^{2} b d^{3}\right)} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{54 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/54*(2*(9*A^2 + 6*A*B + 2*B^2)*b^3*c^3 - 27*(2*A^2 + 2*A*B + B^2)*a*b^2*c^2*d + 54*(A^2 + 2*A*B + 2*B^2)*a^2*b*c*d^2 - (18*A^2 + 66*A*B + 85*B^2)*a^3*d^3 + 6*((6*A*B + 11*B^2)*b^3*c*d^2 - (6*A*B + 11*B^2)*a*b^2*d^3)*x^2 + 18*(B^2*b^3*d^3*x^3 + 3*B^2*a*b^2*d^3*x^2 + 3*B^2*a^2*b*d^3*x + B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*log((b*e*x + a*e)/(d*x + c))^2 - 3*((6*A*B + 5*B^2)*b^3*c^2*d - 18*(2*A*B + 3*B^2)*a*b^2*c*d^2 + (30*A*B + 49*B^2)*a^2*b*d^3)*x + 6*((6*A*B + 11*B^2)*b^3*d^3*x^3 + 2*(3*A*B + B^2)*b^3*c^3 - 9*(2*A*B + B^2)*a*b^2*c^2*d + 18*(A*B + B^2)*a^2*b*c*d^2 + 3*(2*B^2*b^3*c*d^2 + 3*(2*A*B + 3*B^2)*a*b^2*d^3)*x^2 - 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 - 6*(A*B + B^2)*a^2*b*d^3)*x)*log((b*e*x + a*e)/(d*x + c)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","A",0
105,1,1035,0,0.491535," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{9 \, {\left(8 \, A^{2} + 4 \, A B + B^{2}\right)} b^{4} c^{4} - 32 \, {\left(9 \, A^{2} + 6 \, A B + 2 \, B^{2}\right)} a b^{3} c^{3} d + 216 \, {\left(2 \, A^{2} + 2 \, A B + B^{2}\right)} a^{2} b^{2} c^{2} d^{2} - 288 \, {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a^{3} b c d^{3} + {\left(72 \, A^{2} + 300 \, A B + 415 \, B^{2}\right)} a^{4} d^{4} - 12 \, {\left({\left(12 \, A B + 25 \, B^{2}\right)} b^{4} c d^{3} - {\left(12 \, A B + 25 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} + 6 \, {\left({\left(12 \, A B + 13 \, B^{2}\right)} b^{4} c^{2} d^{2} - 16 \, {\left(6 \, A B + 11 \, B^{2}\right)} a b^{3} c d^{3} + {\left(84 \, A B + 163 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 72 \, {\left(B^{2} b^{4} d^{4} x^{4} + 4 \, B^{2} a b^{3} d^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} x^{2} + 4 \, B^{2} a^{3} b d^{4} x - B^{2} b^{4} c^{4} + 4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} - 4 \, {\left({\left(12 \, A B + 7 \, B^{2}\right)} b^{4} c^{3} d - 12 \, {\left(6 \, A B + 5 \, B^{2}\right)} a b^{3} c^{2} d^{2} + 108 \, {\left(2 \, A B + 3 \, B^{2}\right)} a^{2} b^{2} c d^{3} - {\left(156 \, A B + 271 \, B^{2}\right)} a^{3} b d^{4}\right)} x - 12 \, {\left({\left(12 \, A B + 25 \, B^{2}\right)} b^{4} d^{4} x^{4} - 3 \, {\left(4 \, A B + B^{2}\right)} b^{4} c^{4} + 16 \, {\left(3 \, A B + B^{2}\right)} a b^{3} c^{3} d - 36 \, {\left(2 \, A B + B^{2}\right)} a^{2} b^{2} c^{2} d^{2} + 48 \, {\left(A B + B^{2}\right)} a^{3} b c d^{3} + 4 \, {\left(3 \, B^{2} b^{4} c d^{3} + 2 \, {\left(6 \, A B + 11 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} - 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} - 6 \, {\left(2 \, A B + 3 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} + 12 \, {\left(A B + B^{2}\right)} a^{3} b d^{4}\right)} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{288 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/288*(9*(8*A^2 + 4*A*B + B^2)*b^4*c^4 - 32*(9*A^2 + 6*A*B + 2*B^2)*a*b^3*c^3*d + 216*(2*A^2 + 2*A*B + B^2)*a^2*b^2*c^2*d^2 - 288*(A^2 + 2*A*B + 2*B^2)*a^3*b*c*d^3 + (72*A^2 + 300*A*B + 415*B^2)*a^4*d^4 - 12*((12*A*B + 25*B^2)*b^4*c*d^3 - (12*A*B + 25*B^2)*a*b^3*d^4)*x^3 + 6*((12*A*B + 13*B^2)*b^4*c^2*d^2 - 16*(6*A*B + 11*B^2)*a*b^3*c*d^3 + (84*A*B + 163*B^2)*a^2*b^2*d^4)*x^2 - 72*(B^2*b^4*d^4*x^4 + 4*B^2*a*b^3*d^4*x^3 + 6*B^2*a^2*b^2*d^4*x^2 + 4*B^2*a^3*b*d^4*x - B^2*b^4*c^4 + 4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3)*log((b*e*x + a*e)/(d*x + c))^2 - 4*((12*A*B + 7*B^2)*b^4*c^3*d - 12*(6*A*B + 5*B^2)*a*b^3*c^2*d^2 + 108*(2*A*B + 3*B^2)*a^2*b^2*c*d^3 - (156*A*B + 271*B^2)*a^3*b*d^4)*x - 12*((12*A*B + 25*B^2)*b^4*d^4*x^4 - 3*(4*A*B + B^2)*b^4*c^4 + 16*(3*A*B + B^2)*a*b^3*c^3*d - 36*(2*A*B + B^2)*a^2*b^2*c^2*d^2 + 48*(A*B + B^2)*a^3*b*c*d^3 + 4*(3*B^2*b^4*c*d^3 + 2*(6*A*B + 11*B^2)*a*b^3*d^4)*x^3 - 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 - 6*(2*A*B + 3*B^2)*a^2*b^2*d^4)*x^2 + 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 + 12*(A*B + B^2)*a^3*b*d^4)*x)*log((b*e*x + a*e)/(d*x + c)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","A",0
106,1,30,0,0.409758," ","integrate(log(d*(b*x+a)/b/(d*x+c))/(d*f*x+c*f),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{b d x + a d}{b d x + b c} + 1\right)}{d f}"," ",0,"dilog(-(b*d*x + a*d)/(b*d*x + b*c) + 1)/(d*f)","A",0
107,1,22,0,0.419955," ","integrate(log(1+1/(b*x+a))/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{b x + a + 1}{b x + a} + 1\right)}{b}"," ",0,"dilog(-(b*x + a + 1)/(b*x + a) + 1)/b","A",0
108,1,22,0,0.434086," ","integrate(log(1-1/(b*x+a))/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Li}_2\left(-\frac{b x + a - 1}{b x + a} + 1\right)}{b}"," ",0,"dilog(-(b*x + a - 1)/(b*x + a) + 1)/b","A",0
109,0,0,0,0.513486," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B*log((b*e*x + a*e)/(d*x + c)) + A), x)","F",0
110,0,0,0,0.455641," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}, x\right)"," ",0,"integral((b*g*x + a*g)/(B*log((b*e*x + a*e)/(d*x + c)) + A), x)","F",0
111,0,0,0,0.449328," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b g x + A a g + {\left(B b g x + B a g\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A*b*g*x + A*a*g + (B*b*g*x + B*a*g)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
112,1,47,0,0.458750," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{e e^{\frac{A}{B}} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{A}{B}\right)}}{b e x + a e}\right)}{{\left(B b c - B a d\right)} g^{2}}"," ",0,"e*e^(A/B)*log_integral((d*x + c)*e^(-A/B)/(b*e*x + a*e))/((B*b*c - B*a*d)*g^2)","A",0
113,1,130,0,0.470011," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{b e^{2} e^{\left(\frac{2 \, A}{B}\right)} \operatorname{log\_integral}\left(\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} e^{\left(-\frac{2 \, A}{B}\right)}}{b^{2} e^{2} x^{2} + 2 \, a b e^{2} x + a^{2} e^{2}}\right) - d e e^{\frac{A}{B}} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{A}{B}\right)}}{b e x + a e}\right)}{{\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} g^{3}}"," ",0,"(b*e^2*e^(2*A/B)*log_integral((d^2*x^2 + 2*c*d*x + c^2)*e^(-2*A/B)/(b^2*e^2*x^2 + 2*a*b*e^2*x + a^2*e^2)) - d*e*e^(A/B)*log_integral((d*x + c)*e^(-A/B)/(b*e*x + a*e)))/((B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*g^3)","A",0
114,0,0,0,0.462641," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2), x)","F",0
115,0,0,0,0.452998," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}, x\right)"," ",0,"integral((b*g*x + a*g)/(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2), x)","F",0
116,0,0,0,0.481306," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
117,1,199,0,0.457287," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","-\frac{B d x + B c + {\left({\left(B b e x + B a e\right)} e^{\frac{A}{B}} \log\left(\frac{b e x + a e}{d x + c}\right) + {\left(A b e x + A a e\right)} e^{\frac{A}{B}}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{A}{B}\right)}}{b e x + a e}\right)}{{\left(A B^{2} b^{2} c - A B^{2} a b d\right)} g^{2} x + {\left(A B^{2} a b c - A B^{2} a^{2} d\right)} g^{2} + {\left({\left(B^{3} b^{2} c - B^{3} a b d\right)} g^{2} x + {\left(B^{3} a b c - B^{3} a^{2} d\right)} g^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}"," ",0,"-(B*d*x + B*c + ((B*b*e*x + B*a*e)*e^(A/B)*log((b*e*x + a*e)/(d*x + c)) + (A*b*e*x + A*a*e)*e^(A/B))*log_integral((d*x + c)*e^(-A/B)/(b*e*x + a*e)))/((A*B^2*b^2*c - A*B^2*a*b*d)*g^2*x + (A*B^2*a*b*c - A*B^2*a^2*d)*g^2 + ((B^3*b^2*c - B^3*a*b*d)*g^2*x + (B^3*a*b*c - B^3*a^2*d)*g^2)*log((b*e*x + a*e)/(d*x + c)))","A",0
118,1,570,0,0.455456," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","-\frac{B b c^{2} - B a c d + {\left(B b c d - B a d^{2}\right)} x - {\left({\left(B b^{2} d e x^{2} + 2 \, B a b d e x + B a^{2} d e\right)} e^{\frac{A}{B}} \log\left(\frac{b e x + a e}{d x + c}\right) + {\left(A b^{2} d e x^{2} + 2 \, A a b d e x + A a^{2} d e\right)} e^{\frac{A}{B}}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{A}{B}\right)}}{b e x + a e}\right) + 2 \, {\left({\left(B b^{3} e^{2} x^{2} + 2 \, B a b^{2} e^{2} x + B a^{2} b e^{2}\right)} e^{\left(\frac{2 \, A}{B}\right)} \log\left(\frac{b e x + a e}{d x + c}\right) + {\left(A b^{3} e^{2} x^{2} + 2 \, A a b^{2} e^{2} x + A a^{2} b e^{2}\right)} e^{\left(\frac{2 \, A}{B}\right)}\right)} \operatorname{log\_integral}\left(\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} e^{\left(-\frac{2 \, A}{B}\right)}}{b^{2} e^{2} x^{2} + 2 \, a b e^{2} x + a^{2} e^{2}}\right)}{{\left(A B^{2} b^{4} c^{2} - 2 \, A B^{2} a b^{3} c d + A B^{2} a^{2} b^{2} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(A B^{2} a b^{3} c^{2} - 2 \, A B^{2} a^{2} b^{2} c d + A B^{2} a^{3} b d^{2}\right)} g^{3} x + {\left(A B^{2} a^{2} b^{2} c^{2} - 2 \, A B^{2} a^{3} b c d + A B^{2} a^{4} d^{2}\right)} g^{3} + {\left({\left(B^{3} b^{4} c^{2} - 2 \, B^{3} a b^{3} c d + B^{3} a^{2} b^{2} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(B^{3} a b^{3} c^{2} - 2 \, B^{3} a^{2} b^{2} c d + B^{3} a^{3} b d^{2}\right)} g^{3} x + {\left(B^{3} a^{2} b^{2} c^{2} - 2 \, B^{3} a^{3} b c d + B^{3} a^{4} d^{2}\right)} g^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}"," ",0,"-(B*b*c^2 - B*a*c*d + (B*b*c*d - B*a*d^2)*x - ((B*b^2*d*e*x^2 + 2*B*a*b*d*e*x + B*a^2*d*e)*e^(A/B)*log((b*e*x + a*e)/(d*x + c)) + (A*b^2*d*e*x^2 + 2*A*a*b*d*e*x + A*a^2*d*e)*e^(A/B))*log_integral((d*x + c)*e^(-A/B)/(b*e*x + a*e)) + 2*((B*b^3*e^2*x^2 + 2*B*a*b^2*e^2*x + B*a^2*b*e^2)*e^(2*A/B)*log((b*e*x + a*e)/(d*x + c)) + (A*b^3*e^2*x^2 + 2*A*a*b^2*e^2*x + A*a^2*b*e^2)*e^(2*A/B))*log_integral((d^2*x^2 + 2*c*d*x + c^2)*e^(-2*A/B)/(b^2*e^2*x^2 + 2*a*b*e^2*x + a^2*e^2)))/((A*B^2*b^4*c^2 - 2*A*B^2*a*b^3*c*d + A*B^2*a^2*b^2*d^2)*g^3*x^2 + 2*(A*B^2*a*b^3*c^2 - 2*A*B^2*a^2*b^2*c*d + A*B^2*a^3*b*d^2)*g^3*x + (A*B^2*a^2*b^2*c^2 - 2*A*B^2*a^3*b*c*d + A*B^2*a^4*d^2)*g^3 + ((B^3*b^4*c^2 - 2*B^3*a*b^3*c*d + B^3*a^2*b^2*d^2)*g^3*x^2 + 2*(B^3*a*b^3*c^2 - 2*B^3*a^2*b^2*c*d + B^3*a^3*b*d^2)*g^3*x + (B^3*a^2*b^2*c^2 - 2*B^3*a^3*b*c*d + B^3*a^4*d^2)*g^3)*log((b*e*x + a*e)/(d*x + c)))","B",0
119,1,454,0,0.588342," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{6 \, A b^{5} d^{5} g^{4} x^{5} + 12 \, B a^{5} d^{5} g^{4} \log\left(b x + a\right) - 3 \, {\left(B b^{5} c d^{4} - {\left(10 \, A + B\right)} a b^{4} d^{5}\right)} g^{4} x^{4} + 4 \, {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} + {\left(15 \, A + 4 \, B\right)} a^{2} b^{3} d^{5}\right)} g^{4} x^{3} - 6 \, {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} - 2 \, {\left(5 \, A + 3 \, B\right)} a^{3} b^{2} d^{5}\right)} g^{4} x^{2} + 6 \, {\left(2 \, B b^{5} c^{4} d - 10 \, B a b^{4} c^{3} d^{2} + 20 \, B a^{2} b^{3} c^{2} d^{3} - 20 \, B a^{3} b^{2} c d^{4} + {\left(5 \, A + 8 \, B\right)} a^{4} b d^{5}\right)} g^{4} x - 12 \, {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} g^{4} \log\left(d x + c\right) + 6 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B a b^{4} d^{5} g^{4} x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} x^{2} + 5 \, B a^{4} b d^{5} g^{4} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{30 \, b d^{5}}"," ",0,"1/30*(6*A*b^5*d^5*g^4*x^5 + 12*B*a^5*d^5*g^4*log(b*x + a) - 3*(B*b^5*c*d^4 - (10*A + B)*a*b^4*d^5)*g^4*x^4 + 4*(B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 + (15*A + 4*B)*a^2*b^3*d^5)*g^4*x^3 - 6*(B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 - 2*(5*A + 3*B)*a^3*b^2*d^5)*g^4*x^2 + 6*(2*B*b^5*c^4*d - 10*B*a*b^4*c^3*d^2 + 20*B*a^2*b^3*c^2*d^3 - 20*B*a^3*b^2*c*d^4 + (5*A + 8*B)*a^4*b*d^5)*g^4*x - 12*(B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*g^4*log(d*x + c) + 6*(B*b^5*d^5*g^4*x^5 + 5*B*a*b^4*d^5*g^4*x^4 + 10*B*a^2*b^3*d^5*g^4*x^3 + 10*B*a^3*b^2*d^5*g^4*x^2 + 5*B*a^4*b*d^5*g^4*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b*d^5)","B",0
120,1,341,0,0.495885," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{3 \, A b^{4} d^{4} g^{3} x^{4} + 6 \, B a^{4} d^{4} g^{3} \log\left(b x + a\right) - 2 \, {\left(B b^{4} c d^{3} - {\left(6 \, A + B\right)} a b^{3} d^{4}\right)} g^{3} x^{3} + 3 \, {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} + 3 \, {\left(2 \, A + B\right)} a^{2} b^{2} d^{4}\right)} g^{3} x^{2} - 6 \, {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} - {\left(2 \, A + 3 \, B\right)} a^{3} b d^{4}\right)} g^{3} x + 6 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} g^{3} \log\left(d x + c\right) + 3 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B a b^{3} d^{4} g^{3} x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} x^{2} + 4 \, B a^{3} b d^{4} g^{3} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{12 \, b d^{4}}"," ",0,"1/12*(3*A*b^4*d^4*g^3*x^4 + 6*B*a^4*d^4*g^3*log(b*x + a) - 2*(B*b^4*c*d^3 - (6*A + B)*a*b^3*d^4)*g^3*x^3 + 3*(B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 + 3*(2*A + B)*a^2*b^2*d^4)*g^3*x^2 - 6*(B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 - (2*A + 3*B)*a^3*b*d^4)*g^3*x + 6*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*g^3*log(d*x + c) + 3*(B*b^4*d^4*g^3*x^4 + 4*B*a*b^3*d^4*g^3*x^3 + 6*B*a^2*b^2*d^4*g^3*x^2 + 4*B*a^3*b*d^4*g^3*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b*d^4)","B",0
121,1,243,0,0.457608," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{A b^{3} d^{3} g^{2} x^{3} + 2 \, B a^{3} d^{3} g^{2} \log\left(b x + a\right) - {\left(B b^{3} c d^{2} - {\left(3 \, A + B\right)} a b^{2} d^{3}\right)} g^{2} x^{2} + {\left(2 \, B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + {\left(3 \, A + 4 \, B\right)} a^{2} b d^{3}\right)} g^{2} x - 2 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} g^{2} \log\left(d x + c\right) + {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B a b^{2} d^{3} g^{2} x^{2} + 3 \, B a^{2} b d^{3} g^{2} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{3 \, b d^{3}}"," ",0,"1/3*(A*b^3*d^3*g^2*x^3 + 2*B*a^3*d^3*g^2*log(b*x + a) - (B*b^3*c*d^2 - (3*A + B)*a*b^2*d^3)*g^2*x^2 + (2*B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + (3*A + 4*B)*a^2*b*d^3)*g^2*x - 2*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*g^2*log(d*x + c) + (B*b^3*d^3*g^2*x^3 + 3*B*a*b^2*d^3*g^2*x^2 + 3*B*a^2*b*d^3*g^2*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b*d^3)","B",0
122,1,148,0,0.445387," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + 2 \, B a^{2} d^{2} g \log\left(b x + a\right) - 2 \, {\left(B b^{2} c d - {\left(A + B\right)} a b d^{2}\right)} g x + 2 \, {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} g \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B a b d^{2} g x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + 2*B*a^2*d^2*g*log(b*x + a) - 2*(B*b^2*c*d - (A + B)*a*b*d^2)*g*x + 2*(B*b^2*c^2 - 2*B*a*b*c*d)*g*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*a*b*d^2*g*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b*d^2)","A",0
123,0,0,0,0.433593," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}{b g x + a g}, x\right)"," ",0,"integral((B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A)/(b*g*x + a*g), x)","F",0
124,1,110,0,0.439681," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A + 2 \, B\right)} b c - {\left(A + 2 \, B\right)} a d + {\left(B b d x + B b c\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A + 2*B)*b*c - (A + 2*B)*a*d + (B*b*d*x + B*b*c)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
125,1,238,0,0.438298," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(A + B\right)} b^{2} c^{2} - 2 \, {\left(A + 2 \, B\right)} a b c d + {\left(A + 3 \, B\right)} a^{2} d^{2} - 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} x - {\left(B b^{2} d^{2} x^{2} + 2 \, B a b d^{2} x - B b^{2} c^{2} + 2 \, B a b c d\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/2*((A + B)*b^2*c^2 - 2*(A + 2*B)*a*b*c*d + (A + 3*B)*a^2*d^2 - 2*(B*b^2*c*d - B*a*b*d^2)*x - (B*b^2*d^2*x^2 + 2*B*a*b*d^2*x - B*b^2*c^2 + 2*B*a*b*c*d)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
126,1,430,0,0.448268," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{{\left(3 \, A + 2 \, B\right)} b^{3} c^{3} - 9 \, {\left(A + B\right)} a b^{2} c^{2} d + 9 \, {\left(A + 2 \, B\right)} a^{2} b c d^{2} - {\left(3 \, A + 11 \, B\right)} a^{3} d^{3} + 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} x + 3 \, {\left(B b^{3} d^{3} x^{3} + 3 \, B a b^{2} d^{3} x^{2} + 3 \, B a^{2} b d^{3} x + B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{9 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/9*((3*A + 2*B)*b^3*c^3 - 9*(A + B)*a*b^2*c^2*d + 9*(A + 2*B)*a^2*b*c*d^2 - (3*A + 11*B)*a^3*d^3 + 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*x^2 - 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*x + 3*(B*b^3*d^3*x^3 + 3*B*a*b^2*d^3*x^2 + 3*B*a^2*b*d^3*x + B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
127,1,654,0,0.483418," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{3 \, {\left(2 \, A + B\right)} b^{4} c^{4} - 8 \, {\left(3 \, A + 2 \, B\right)} a b^{3} c^{3} d + 36 \, {\left(A + B\right)} a^{2} b^{2} c^{2} d^{2} - 24 \, {\left(A + 2 \, B\right)} a^{3} b c d^{3} + {\left(6 \, A + 25 \, B\right)} a^{4} d^{4} - 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} x - 6 \, {\left(B b^{4} d^{4} x^{4} + 4 \, B a b^{3} d^{4} x^{3} + 6 \, B a^{2} b^{2} d^{4} x^{2} + 4 \, B a^{3} b d^{4} x - B b^{4} c^{4} + 4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{24 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/24*(3*(2*A + B)*b^4*c^4 - 8*(3*A + 2*B)*a*b^3*c^3*d + 36*(A + B)*a^2*b^2*c^2*d^2 - 24*(A + 2*B)*a^3*b*c*d^3 + (6*A + 25*B)*a^4*d^4 - 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*x^3 + 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*x^2 - 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*x - 6*(B*b^4*d^4*x^4 + 4*B*a*b^3*d^4*x^3 + 6*B*a^2*b^2*d^4*x^2 + 4*B*a^3*b*d^4*x - B*b^4*c^4 + 4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
128,0,0,0,0.478580," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{4} g^{4} x^{4} + 4 \, A^{2} a b^{3} g^{4} x^{3} + 6 \, A^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, A^{2} a^{3} b g^{4} x + A^{2} a^{4} g^{4} + {\left(B^{2} b^{4} g^{4} x^{4} + 4 \, B^{2} a b^{3} g^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, B^{2} a^{3} b g^{4} x + B^{2} a^{4} g^{4}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b^{4} g^{4} x^{4} + 4 \, A B a b^{3} g^{4} x^{3} + 6 \, A B a^{2} b^{2} g^{4} x^{2} + 4 \, A B a^{3} b g^{4} x + A B a^{4} g^{4}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*b^4*g^4*x^4 + 4*A^2*a*b^3*g^4*x^3 + 6*A^2*a^2*b^2*g^4*x^2 + 4*A^2*a^3*b*g^4*x + A^2*a^4*g^4 + (B^2*b^4*g^4*x^4 + 4*B^2*a*b^3*g^4*x^3 + 6*B^2*a^2*b^2*g^4*x^2 + 4*B^2*a^3*b*g^4*x + B^2*a^4*g^4)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b^4*g^4*x^4 + 4*A*B*a*b^3*g^4*x^3 + 6*A*B*a^2*b^2*g^4*x^2 + 4*A*B*a^3*b*g^4*x + A*B*a^4*g^4)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
129,0,0,0,0.487756," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
130,0,0,0,0.457503," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
131,0,0,0,0.446996," ","integrate((b*g*x+a*g)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
132,0,0,0,0.443900," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{b g x + a g}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(b*g*x + a*g), x)","F",0
133,1,200,0,0.433022," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A^{2} + 4 \, A B + 8 \, B^{2}\right)} b c - {\left(A^{2} + 4 \, A B + 8 \, B^{2}\right)} a d + {\left(B^{2} b d x + B^{2} b c\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left({\left(A B + 2 \, B^{2}\right)} b d x + {\left(A B + 2 \, B^{2}\right)} b c\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A^2 + 4*A*B + 8*B^2)*b*c - (A^2 + 4*A*B + 8*B^2)*a*d + (B^2*b*d*x + B^2*b*c)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*((A*B + 2*B^2)*b*d*x + (A*B + 2*B^2)*b*c)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
134,1,410,0,0.460263," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} b^{2} c^{2} - 2 \, {\left(A^{2} + 4 \, A B + 8 \, B^{2}\right)} a b c d + {\left(A^{2} + 6 \, A B + 14 \, B^{2}\right)} a^{2} d^{2} - {\left(B^{2} b^{2} d^{2} x^{2} + 2 \, B^{2} a b d^{2} x - B^{2} b^{2} c^{2} + 2 \, B^{2} a b c d\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} - 4 \, {\left({\left(A B + 3 \, B^{2}\right)} b^{2} c d - {\left(A B + 3 \, B^{2}\right)} a b d^{2}\right)} x - 2 \, {\left({\left(A B + 3 \, B^{2}\right)} b^{2} d^{2} x^{2} - {\left(A B + B^{2}\right)} b^{2} c^{2} + 2 \, {\left(A B + 2 \, B^{2}\right)} a b c d + 2 \, {\left(B^{2} b^{2} c d + {\left(A B + 2 \, B^{2}\right)} a b d^{2}\right)} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/2*((A^2 + 2*A*B + 2*B^2)*b^2*c^2 - 2*(A^2 + 4*A*B + 8*B^2)*a*b*c*d + (A^2 + 6*A*B + 14*B^2)*a^2*d^2 - (B^2*b^2*d^2*x^2 + 2*B^2*a*b*d^2*x - B^2*b^2*c^2 + 2*B^2*a*b*c*d)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 - 4*((A*B + 3*B^2)*b^2*c*d - (A*B + 3*B^2)*a*b*d^2)*x - 2*((A*B + 3*B^2)*b^2*d^2*x^2 - (A*B + B^2)*b^2*c^2 + 2*(A*B + 2*B^2)*a*b*c*d + 2*(B^2*b^2*c*d + (A*B + 2*B^2)*a*b*d^2)*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
135,1,719,0,0.464899," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{{\left(9 \, A^{2} + 12 \, A B + 8 \, B^{2}\right)} b^{3} c^{3} - 27 \, {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a b^{2} c^{2} d + 27 \, {\left(A^{2} + 4 \, A B + 8 \, B^{2}\right)} a^{2} b c d^{2} - {\left(9 \, A^{2} + 66 \, A B + 170 \, B^{2}\right)} a^{3} d^{3} + 12 \, {\left({\left(3 \, A B + 11 \, B^{2}\right)} b^{3} c d^{2} - {\left(3 \, A B + 11 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(B^{2} b^{3} d^{3} x^{3} + 3 \, B^{2} a b^{2} d^{3} x^{2} + 3 \, B^{2} a^{2} b d^{3} x + B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} - 6 \, {\left({\left(3 \, A B + 5 \, B^{2}\right)} b^{3} c^{2} d - 18 \, {\left(A B + 3 \, B^{2}\right)} a b^{2} c d^{2} + {\left(15 \, A B + 49 \, B^{2}\right)} a^{2} b d^{3}\right)} x + 6 \, {\left({\left(3 \, A B + 11 \, B^{2}\right)} b^{3} d^{3} x^{3} + {\left(3 \, A B + 2 \, B^{2}\right)} b^{3} c^{3} - 9 \, {\left(A B + B^{2}\right)} a b^{2} c^{2} d + 9 \, {\left(A B + 2 \, B^{2}\right)} a^{2} b c d^{2} + 3 \, {\left(2 \, B^{2} b^{3} c d^{2} + 3 \, {\left(A B + 3 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} - 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} - 3 \, {\left(A B + 2 \, B^{2}\right)} a^{2} b d^{3}\right)} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{27 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/27*((9*A^2 + 12*A*B + 8*B^2)*b^3*c^3 - 27*(A^2 + 2*A*B + 2*B^2)*a*b^2*c^2*d + 27*(A^2 + 4*A*B + 8*B^2)*a^2*b*c*d^2 - (9*A^2 + 66*A*B + 170*B^2)*a^3*d^3 + 12*((3*A*B + 11*B^2)*b^3*c*d^2 - (3*A*B + 11*B^2)*a*b^2*d^3)*x^2 + 9*(B^2*b^3*d^3*x^3 + 3*B^2*a*b^2*d^3*x^2 + 3*B^2*a^2*b*d^3*x + B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 - 6*((3*A*B + 5*B^2)*b^3*c^2*d - 18*(A*B + 3*B^2)*a*b^2*c*d^2 + (15*A*B + 49*B^2)*a^2*b*d^3)*x + 6*((3*A*B + 11*B^2)*b^3*d^3*x^3 + (3*A*B + 2*B^2)*b^3*c^3 - 9*(A*B + B^2)*a*b^2*c^2*d + 9*(A*B + 2*B^2)*a^2*b*c*d^2 + 3*(2*B^2*b^3*c*d^2 + 3*(A*B + 3*B^2)*a*b^2*d^3)*x^2 - 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 - 3*(A*B + 2*B^2)*a^2*b*d^3)*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","A",0
136,1,1084,0,0.499572," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{9 \, {\left(2 \, A^{2} + 2 \, A B + B^{2}\right)} b^{4} c^{4} - 8 \, {\left(9 \, A^{2} + 12 \, A B + 8 \, B^{2}\right)} a b^{3} c^{3} d + 108 \, {\left(A^{2} + 2 \, A B + 2 \, B^{2}\right)} a^{2} b^{2} c^{2} d^{2} - 72 \, {\left(A^{2} + 4 \, A B + 8 \, B^{2}\right)} a^{3} b c d^{3} + {\left(18 \, A^{2} + 150 \, A B + 415 \, B^{2}\right)} a^{4} d^{4} - 12 \, {\left({\left(6 \, A B + 25 \, B^{2}\right)} b^{4} c d^{3} - {\left(6 \, A B + 25 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} + 6 \, {\left({\left(6 \, A B + 13 \, B^{2}\right)} b^{4} c^{2} d^{2} - 16 \, {\left(3 \, A B + 11 \, B^{2}\right)} a b^{3} c d^{3} + {\left(42 \, A B + 163 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 18 \, {\left(B^{2} b^{4} d^{4} x^{4} + 4 \, B^{2} a b^{3} d^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} x^{2} + 4 \, B^{2} a^{3} b d^{4} x - B^{2} b^{4} c^{4} + 4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} - 4 \, {\left({\left(6 \, A B + 7 \, B^{2}\right)} b^{4} c^{3} d - 12 \, {\left(3 \, A B + 5 \, B^{2}\right)} a b^{3} c^{2} d^{2} + 108 \, {\left(A B + 3 \, B^{2}\right)} a^{2} b^{2} c d^{3} - {\left(78 \, A B + 271 \, B^{2}\right)} a^{3} b d^{4}\right)} x - 6 \, {\left({\left(6 \, A B + 25 \, B^{2}\right)} b^{4} d^{4} x^{4} - 3 \, {\left(2 \, A B + B^{2}\right)} b^{4} c^{4} + 8 \, {\left(3 \, A B + 2 \, B^{2}\right)} a b^{3} c^{3} d - 36 \, {\left(A B + B^{2}\right)} a^{2} b^{2} c^{2} d^{2} + 24 \, {\left(A B + 2 \, B^{2}\right)} a^{3} b c d^{3} + 4 \, {\left(3 \, B^{2} b^{4} c d^{3} + 2 \, {\left(3 \, A B + 11 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} - 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} - 6 \, {\left(A B + 3 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} + 6 \, {\left(A B + 2 \, B^{2}\right)} a^{3} b d^{4}\right)} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{72 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/72*(9*(2*A^2 + 2*A*B + B^2)*b^4*c^4 - 8*(9*A^2 + 12*A*B + 8*B^2)*a*b^3*c^3*d + 108*(A^2 + 2*A*B + 2*B^2)*a^2*b^2*c^2*d^2 - 72*(A^2 + 4*A*B + 8*B^2)*a^3*b*c*d^3 + (18*A^2 + 150*A*B + 415*B^2)*a^4*d^4 - 12*((6*A*B + 25*B^2)*b^4*c*d^3 - (6*A*B + 25*B^2)*a*b^3*d^4)*x^3 + 6*((6*A*B + 13*B^2)*b^4*c^2*d^2 - 16*(3*A*B + 11*B^2)*a*b^3*c*d^3 + (42*A*B + 163*B^2)*a^2*b^2*d^4)*x^2 - 18*(B^2*b^4*d^4*x^4 + 4*B^2*a*b^3*d^4*x^3 + 6*B^2*a^2*b^2*d^4*x^2 + 4*B^2*a^3*b*d^4*x - B^2*b^4*c^4 + 4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 - 4*((6*A*B + 7*B^2)*b^4*c^3*d - 12*(3*A*B + 5*B^2)*a*b^3*c^2*d^2 + 108*(A*B + 3*B^2)*a^2*b^2*c*d^3 - (78*A*B + 271*B^2)*a^3*b*d^4)*x - 6*((6*A*B + 25*B^2)*b^4*d^4*x^4 - 3*(2*A*B + B^2)*b^4*c^4 + 8*(3*A*B + 2*B^2)*a*b^3*c^3*d - 36*(A*B + B^2)*a^2*b^2*c^2*d^2 + 24*(A*B + 2*B^2)*a^3*b*c*d^3 + 4*(3*B^2*b^4*c*d^3 + 2*(3*A*B + 11*B^2)*a*b^3*d^4)*x^3 - 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 - 6*(A*B + 3*B^2)*a^2*b^2*d^4)*x^2 + 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 + 6*(A*B + 2*B^2)*a^3*b*d^4)*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","A",0
137,0,0,0,0.440270," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A), x)","F",0
138,0,0,0,0.453330," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}, x\right)"," ",0,"integral((b*g*x + a*g)/(B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A), x)","F",0
139,0,0,0,0.436309," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b g x + A a g + {\left(B b g x + B a g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b*g*x + A*a*g + (B*b*g*x + B*a*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
140,0,0,0,0.444729," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b^{2} g^{2} x^{2} + 2 \, A a b g^{2} x + A a^{2} g^{2} + {\left(B b^{2} g^{2} x^{2} + 2 \, B a b g^{2} x + B a^{2} g^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b^2*g^2*x^2 + 2*A*a*b*g^2*x + A*a^2*g^2 + (B*b^2*g^2*x^2 + 2*B*a*b*g^2*x + B*a^2*g^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
141,0,0,0,0.433052," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b^{3} g^{3} x^{3} + 3 \, A a b^{2} g^{3} x^{2} + 3 \, A a^{2} b g^{3} x + A a^{3} g^{3} + {\left(B b^{3} g^{3} x^{3} + 3 \, B a b^{2} g^{3} x^{2} + 3 \, B a^{2} b g^{3} x + B a^{3} g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b^3*g^3*x^3 + 3*A*a*b^2*g^3*x^2 + 3*A*a^2*b*g^3*x + A*a^3*g^3 + (B*b^3*g^3*x^3 + 3*B*a*b^2*g^3*x^2 + 3*B*a^2*b*g^3*x + B*a^3*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
142,0,0,0,0.428857," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2), x)","F",0
143,0,0,0,0.449162," ","integrate((b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((b*g*x + a*g)/(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2), x)","F",0
144,0,0,0,0.435476," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
145,0,0,0,0.425648," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
146,0,0,0,0.437932," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
147,1,563,0,0.447343," ","integrate((b*x+a)^4*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} x^{5} + 3 \, {\left(20 \, A a b^{4} d^{5} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} n\right)} x^{4} + 4 \, {\left(30 \, A a^{2} b^{3} d^{5} + {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} + 4 \, B a^{2} b^{3} d^{5}\right)} n\right)} x^{3} + 6 \, {\left(20 \, A a^{3} b^{2} d^{5} - {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} - 6 \, B a^{3} b^{2} d^{5}\right)} n\right)} x^{2} + 12 \, {\left(5 \, A a^{4} b d^{5} + {\left(B b^{5} c^{4} d - 5 \, B a b^{4} c^{3} d^{2} + 10 \, B a^{2} b^{3} c^{2} d^{3} - 10 \, B a^{3} b^{2} c d^{4} + 4 \, B a^{4} b d^{5}\right)} n\right)} x + 12 \, {\left(B b^{5} d^{5} n x^{5} + 5 \, B a b^{4} d^{5} n x^{4} + 10 \, B a^{2} b^{3} d^{5} n x^{3} + 10 \, B a^{3} b^{2} d^{5} n x^{2} + 5 \, B a^{4} b d^{5} n x + B a^{5} d^{5} n\right)} \log\left(b x + a\right) - 12 \, {\left(B b^{5} d^{5} n x^{5} + 5 \, B a b^{4} d^{5} n x^{4} + 10 \, B a^{2} b^{3} d^{5} n x^{3} + 10 \, B a^{3} b^{2} d^{5} n x^{2} + 5 \, B a^{4} b d^{5} n x + {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} n\right)} \log\left(d x + c\right) + 12 \, {\left(B b^{5} d^{5} x^{5} + 5 \, B a b^{4} d^{5} x^{4} + 10 \, B a^{2} b^{3} d^{5} x^{3} + 10 \, B a^{3} b^{2} d^{5} x^{2} + 5 \, B a^{4} b d^{5} x\right)} \log\left(e\right)}{60 \, b d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*x^5 + 3*(20*A*a*b^4*d^5 - (B*b^5*c*d^4 - B*a*b^4*d^5)*n)*x^4 + 4*(30*A*a^2*b^3*d^5 + (B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 + 4*B*a^2*b^3*d^5)*n)*x^3 + 6*(20*A*a^3*b^2*d^5 - (B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 - 6*B*a^3*b^2*d^5)*n)*x^2 + 12*(5*A*a^4*b*d^5 + (B*b^5*c^4*d - 5*B*a*b^4*c^3*d^2 + 10*B*a^2*b^3*c^2*d^3 - 10*B*a^3*b^2*c*d^4 + 4*B*a^4*b*d^5)*n)*x + 12*(B*b^5*d^5*n*x^5 + 5*B*a*b^4*d^5*n*x^4 + 10*B*a^2*b^3*d^5*n*x^3 + 10*B*a^3*b^2*d^5*n*x^2 + 5*B*a^4*b*d^5*n*x + B*a^5*d^5*n)*log(b*x + a) - 12*(B*b^5*d^5*n*x^5 + 5*B*a*b^4*d^5*n*x^4 + 10*B*a^2*b^3*d^5*n*x^3 + 10*B*a^3*b^2*d^5*n*x^2 + 5*B*a^4*b*d^5*n*x + (B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*n)*log(d*x + c) + 12*(B*b^5*d^5*x^5 + 5*B*a*b^4*d^5*x^4 + 10*B*a^2*b^3*d^5*x^3 + 10*B*a^3*b^2*d^5*x^2 + 5*B*a^4*b*d^5*x)*log(e))/(b*d^5)","B",0
148,1,417,0,0.446850," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} x^{4} + 2 \, {\left(12 \, A a b^{3} d^{4} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} n\right)} x^{3} + 3 \, {\left(12 \, A a^{2} b^{2} d^{4} + {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} + 3 \, B a^{2} b^{2} d^{4}\right)} n\right)} x^{2} + 6 \, {\left(4 \, A a^{3} b d^{4} - {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} - 3 \, B a^{3} b d^{4}\right)} n\right)} x + 6 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B a b^{3} d^{4} n x^{3} + 6 \, B a^{2} b^{2} d^{4} n x^{2} + 4 \, B a^{3} b d^{4} n x + B a^{4} d^{4} n\right)} \log\left(b x + a\right) - 6 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B a b^{3} d^{4} n x^{3} + 6 \, B a^{2} b^{2} d^{4} n x^{2} + 4 \, B a^{3} b d^{4} n x - {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} n\right)} \log\left(d x + c\right) + 6 \, {\left(B b^{4} d^{4} x^{4} + 4 \, B a b^{3} d^{4} x^{3} + 6 \, B a^{2} b^{2} d^{4} x^{2} + 4 \, B a^{3} b d^{4} x\right)} \log\left(e\right)}{24 \, b d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*x^4 + 2*(12*A*a*b^3*d^4 - (B*b^4*c*d^3 - B*a*b^3*d^4)*n)*x^3 + 3*(12*A*a^2*b^2*d^4 + (B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 + 3*B*a^2*b^2*d^4)*n)*x^2 + 6*(4*A*a^3*b*d^4 - (B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 - 3*B*a^3*b*d^4)*n)*x + 6*(B*b^4*d^4*n*x^4 + 4*B*a*b^3*d^4*n*x^3 + 6*B*a^2*b^2*d^4*n*x^2 + 4*B*a^3*b*d^4*n*x + B*a^4*d^4*n)*log(b*x + a) - 6*(B*b^4*d^4*n*x^4 + 4*B*a*b^3*d^4*n*x^3 + 6*B*a^2*b^2*d^4*n*x^2 + 4*B*a^3*b*d^4*n*x - (B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*n)*log(d*x + c) + 6*(B*b^4*d^4*x^4 + 4*B*a*b^3*d^4*x^3 + 6*B*a^2*b^2*d^4*x^2 + 4*B*a^3*b*d^4*x)*log(e))/(b*d^4)","B",0
149,1,282,0,0.429865," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} x^{3} + {\left(6 \, A a b^{2} d^{3} - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} n\right)} x^{2} + 2 \, {\left(3 \, A a^{2} b d^{3} + {\left(B b^{3} c^{2} d - 3 \, B a b^{2} c d^{2} + 2 \, B a^{2} b d^{3}\right)} n\right)} x + 2 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B a b^{2} d^{3} n x^{2} + 3 \, B a^{2} b d^{3} n x + B a^{3} d^{3} n\right)} \log\left(b x + a\right) - 2 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B a b^{2} d^{3} n x^{2} + 3 \, B a^{2} b d^{3} n x + {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} n\right)} \log\left(d x + c\right) + 2 \, {\left(B b^{3} d^{3} x^{3} + 3 \, B a b^{2} d^{3} x^{2} + 3 \, B a^{2} b d^{3} x\right)} \log\left(e\right)}{6 \, b d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*x^3 + (6*A*a*b^2*d^3 - (B*b^3*c*d^2 - B*a*b^2*d^3)*n)*x^2 + 2*(3*A*a^2*b*d^3 + (B*b^3*c^2*d - 3*B*a*b^2*c*d^2 + 2*B*a^2*b*d^3)*n)*x + 2*(B*b^3*d^3*n*x^3 + 3*B*a*b^2*d^3*n*x^2 + 3*B*a^2*b*d^3*n*x + B*a^3*d^3*n)*log(b*x + a) - 2*(B*b^3*d^3*n*x^3 + 3*B*a*b^2*d^3*n*x^2 + 3*B*a^2*b*d^3*n*x + (B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*n)*log(d*x + c) + 2*(B*b^3*d^3*x^3 + 3*B*a*b^2*d^3*x^2 + 3*B*a^2*b*d^3*x)*log(e))/(b*d^3)","B",0
150,1,163,0,0.416887," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} x^{2} + {\left(2 \, A a b d^{2} - {\left(B b^{2} c d - B a b d^{2}\right)} n\right)} x + {\left(B b^{2} d^{2} n x^{2} + 2 \, B a b d^{2} n x + B a^{2} d^{2} n\right)} \log\left(b x + a\right) - {\left(B b^{2} d^{2} n x^{2} + 2 \, B a b d^{2} n x - {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} n\right)} \log\left(d x + c\right) + {\left(B b^{2} d^{2} x^{2} + 2 \, B a b d^{2} x\right)} \log\left(e\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*x^2 + (2*A*a*b*d^2 - (B*b^2*c*d - B*a*b*d^2)*n)*x + (B*b^2*d^2*n*x^2 + 2*B*a*b*d^2*n*x + B*a^2*d^2*n)*log(b*x + a) - (B*b^2*d^2*n*x^2 + 2*B*a*b*d^2*n*x - (B*b^2*c^2 - 2*B*a*b*c*d)*n)*log(d*x + c) + (B*b^2*d^2*x^2 + 2*B*a*b*d^2*x)*log(e))/(b*d^2)","B",0
151,0,0,0,0.439486," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{b x + a}, x\right)"," ",0,"integral((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/(b*x + a), x)","F",0
152,1,107,0,0.424018," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{A b c - A a d + {\left(B b c - B a d\right)} n + {\left(B b d n x + B b c n\right)} \log\left(b x + a\right) - {\left(B b d n x + B b c n\right)} \log\left(d x + c\right) + {\left(B b c - B a d\right)} \log\left(e\right)}{a b^{2} c - a^{2} b d + {\left(b^{3} c - a b^{2} d\right)} x}"," ",0,"-(A*b*c - A*a*d + (B*b*c - B*a*d)*n + (B*b*d*n*x + B*b*c*n)*log(b*x + a) - (B*b*d*n*x + B*b*c*n)*log(d*x + c) + (B*b*c - B*a*d)*log(e))/(a*b^2*c - a^2*b*d + (b^3*c - a*b^2*d)*x)","A",0
153,1,296,0,0.438550," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, A b^{2} c^{2} - 4 \, A a b c d + 2 \, A a^{2} d^{2} - 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} n x + {\left(B b^{2} c^{2} - 4 \, B a b c d + 3 \, B a^{2} d^{2}\right)} n - 2 \, {\left(B b^{2} d^{2} n x^{2} + 2 \, B a b d^{2} n x - {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} n\right)} \log\left(b x + a\right) + 2 \, {\left(B b^{2} d^{2} n x^{2} + 2 \, B a b d^{2} n x - {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} n\right)} \log\left(d x + c\right) + 2 \, {\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} \log\left(e\right)}{4 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x\right)}}"," ",0,"-1/4*(2*A*b^2*c^2 - 4*A*a*b*c*d + 2*A*a^2*d^2 - 2*(B*b^2*c*d - B*a*b*d^2)*n*x + (B*b^2*c^2 - 4*B*a*b*c*d + 3*B*a^2*d^2)*n - 2*(B*b^2*d^2*n*x^2 + 2*B*a*b*d^2*n*x - (B*b^2*c^2 - 2*B*a*b*c*d)*n)*log(b*x + a) + 2*(B*b^2*d^2*n*x^2 + 2*B*a*b*d^2*n*x - (B*b^2*c^2 - 2*B*a*b*c*d)*n)*log(d*x + c) + 2*(B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*log(e))/(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x)","B",0
154,1,540,0,0.458750," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{6 \, A b^{3} c^{3} - 18 \, A a b^{2} c^{2} d + 18 \, A a^{2} b c d^{2} - 6 \, A a^{3} d^{3} + 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} n x + {\left(2 \, B b^{3} c^{3} - 9 \, B a b^{2} c^{2} d + 18 \, B a^{2} b c d^{2} - 11 \, B a^{3} d^{3}\right)} n + 6 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B a b^{2} d^{3} n x^{2} + 3 \, B a^{2} b d^{3} n x + {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} n\right)} \log\left(b x + a\right) - 6 \, {\left(B b^{3} d^{3} n x^{3} + 3 \, B a b^{2} d^{3} n x^{2} + 3 \, B a^{2} b d^{3} n x + {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} n\right)} \log\left(d x + c\right) + 6 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2} - B a^{3} d^{3}\right)} \log\left(e\right)}{18 \, {\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} + {\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^{3} + 3 \, {\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^{2} + 3 \, {\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\right)}}"," ",0,"-1/18*(6*A*b^3*c^3 - 18*A*a*b^2*c^2*d + 18*A*a^2*b*c*d^2 - 6*A*a^3*d^3 + 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*n*x^2 - 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*n*x + (2*B*b^3*c^3 - 9*B*a*b^2*c^2*d + 18*B*a^2*b*c*d^2 - 11*B*a^3*d^3)*n + 6*(B*b^3*d^3*n*x^3 + 3*B*a*b^2*d^3*n*x^2 + 3*B*a^2*b*d^3*n*x + (B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*n)*log(b*x + a) - 6*(B*b^3*d^3*n*x^3 + 3*B*a*b^2*d^3*n*x^2 + 3*B*a^2*b*d^3*n*x + (B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*n)*log(d*x + c) + 6*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2 - B*a^3*d^3)*log(e))/(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 + (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^3 + 3*(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^2 + 3*(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)","B",0
155,1,820,0,0.485756," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)^5,x, algorithm=""fricas"")","-\frac{12 \, A b^{4} c^{4} - 48 \, A a b^{3} c^{3} d + 72 \, A a^{2} b^{2} c^{2} d^{2} - 48 \, A a^{3} b c d^{3} + 12 \, A a^{4} d^{4} - 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} n x^{3} + 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} n x + {\left(3 \, B b^{4} c^{4} - 16 \, B a b^{3} c^{3} d + 36 \, B a^{2} b^{2} c^{2} d^{2} - 48 \, B a^{3} b c d^{3} + 25 \, B a^{4} d^{4}\right)} n - 12 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B a b^{3} d^{4} n x^{3} + 6 \, B a^{2} b^{2} d^{4} n x^{2} + 4 \, B a^{3} b d^{4} n x - {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} n\right)} \log\left(b x + a\right) + 12 \, {\left(B b^{4} d^{4} n x^{4} + 4 \, B a b^{3} d^{4} n x^{3} + 6 \, B a^{2} b^{2} d^{4} n x^{2} + 4 \, B a^{3} b d^{4} n x - {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} n\right)} \log\left(d x + c\right) + 12 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3} + B a^{4} d^{4}\right)} \log\left(e\right)}{48 \, {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4} + {\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} x\right)}}"," ",0,"-1/48*(12*A*b^4*c^4 - 48*A*a*b^3*c^3*d + 72*A*a^2*b^2*c^2*d^2 - 48*A*a^3*b*c*d^3 + 12*A*a^4*d^4 - 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*n*x^3 + 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*n*x^2 - 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*n*x + (3*B*b^4*c^4 - 16*B*a*b^3*c^3*d + 36*B*a^2*b^2*c^2*d^2 - 48*B*a^3*b*c*d^3 + 25*B*a^4*d^4)*n - 12*(B*b^4*d^4*n*x^4 + 4*B*a*b^3*d^4*n*x^3 + 6*B*a^2*b^2*d^4*n*x^2 + 4*B*a^3*b*d^4*n*x - (B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*n)*log(b*x + a) + 12*(B*b^4*d^4*n*x^4 + 4*B*a*b^3*d^4*n*x^3 + 6*B*a^2*b^2*d^4*n*x^2 + 4*B*a^3*b*d^4*n*x - (B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*n)*log(d*x + c) + 12*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3 + B*a^4*d^4)*log(e))/(a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4 + (b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*x)","B",0
156,0,0,0,0.497704," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} x^{3} + 3 \, A^{2} a b^{2} x^{2} + 3 \, A^{2} a^{2} b x + A^{2} a^{3} + {\left(B^{2} b^{3} x^{3} + 3 \, B^{2} a b^{2} x^{2} + 3 \, B^{2} a^{2} b x + B^{2} a^{3}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, {\left(A B b^{3} x^{3} + 3 \, A B a b^{2} x^{2} + 3 \, A B a^{2} b x + A B a^{3}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^2*b^3*x^3 + 3*A^2*a*b^2*x^2 + 3*A^2*a^2*b*x + A^2*a^3 + (B^2*b^3*x^3 + 3*B^2*a*b^2*x^2 + 3*B^2*a^2*b*x + B^2*a^3)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*(A*B*b^3*x^3 + 3*A*B*a*b^2*x^2 + 3*A*B*a^2*b*x + A*B*a^3)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
157,0,0,0,0.478745," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} x^{2} + 2 \, A^{2} a b x + A^{2} a^{2} + {\left(B^{2} b^{2} x^{2} + 2 \, B^{2} a b x + B^{2} a^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, {\left(A B b^{2} x^{2} + 2 \, A B a b x + A B a^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^2*b^2*x^2 + 2*A^2*a*b*x + A^2*a^2 + (B^2*b^2*x^2 + 2*B^2*a*b*x + B^2*a^2)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*(A*B*b^2*x^2 + 2*A*B*a*b*x + A*B*a^2)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
158,0,0,0,0.445760," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b x + A^{2} a + {\left(B^{2} b x + B^{2} a\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, {\left(A B b x + A B a\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^2*b*x + A^2*a + (B^2*b*x + B^2*a)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*(A*B*b*x + A*B*a)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
159,0,0,0,0.440240," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, A B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{2}}{b x + a}, x\right)"," ",0,"integral((B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*A*B*log((b*x + a)^n*e/(d*x + c)^n) + A^2)/(b*x + a), x)","F",0
160,1,339,0,0.456741," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{A^{2} b c - A^{2} a d + 2 \, {\left(B^{2} b c - B^{2} a d\right)} n^{2} + {\left(B^{2} b d n^{2} x + B^{2} b c n^{2}\right)} \log\left(b x + a\right)^{2} + {\left(B^{2} b d n^{2} x + B^{2} b c n^{2}\right)} \log\left(d x + c\right)^{2} + {\left(B^{2} b c - B^{2} a d\right)} \log\left(e\right)^{2} + 2 \, {\left(A B b c - A B a d\right)} n + 2 \, {\left(B^{2} b c n^{2} + A B b c n + {\left(B^{2} b d n^{2} + A B b d n\right)} x + {\left(B^{2} b d n x + B^{2} b c n\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 2 \, {\left(B^{2} b c n^{2} + A B b c n + {\left(B^{2} b d n^{2} + A B b d n\right)} x + {\left(B^{2} b d n^{2} x + B^{2} b c n^{2}\right)} \log\left(b x + a\right) + {\left(B^{2} b d n x + B^{2} b c n\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 2 \, {\left(A B b c - A B a d + {\left(B^{2} b c - B^{2} a d\right)} n\right)} \log\left(e\right)}{a b^{2} c - a^{2} b d + {\left(b^{3} c - a b^{2} d\right)} x}"," ",0,"-(A^2*b*c - A^2*a*d + 2*(B^2*b*c - B^2*a*d)*n^2 + (B^2*b*d*n^2*x + B^2*b*c*n^2)*log(b*x + a)^2 + (B^2*b*d*n^2*x + B^2*b*c*n^2)*log(d*x + c)^2 + (B^2*b*c - B^2*a*d)*log(e)^2 + 2*(A*B*b*c - A*B*a*d)*n + 2*(B^2*b*c*n^2 + A*B*b*c*n + (B^2*b*d*n^2 + A*B*b*d*n)*x + (B^2*b*d*n*x + B^2*b*c*n)*log(e))*log(b*x + a) - 2*(B^2*b*c*n^2 + A*B*b*c*n + (B^2*b*d*n^2 + A*B*b*d*n)*x + (B^2*b*d*n^2*x + B^2*b*c*n^2)*log(b*x + a) + (B^2*b*d*n*x + B^2*b*c*n)*log(e))*log(d*x + c) + 2*(A*B*b*c - A*B*a*d + (B^2*b*c - B^2*a*d)*n)*log(e))/(a*b^2*c - a^2*b*d + (b^3*c - a*b^2*d)*x)","B",0
161,1,919,0,0.494051," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{2 \, A^{2} b^{2} c^{2} - 4 \, A^{2} a b c d + 2 \, A^{2} a^{2} d^{2} + {\left(B^{2} b^{2} c^{2} - 8 \, B^{2} a b c d + 7 \, B^{2} a^{2} d^{2}\right)} n^{2} - 2 \, {\left(B^{2} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{2} a b d^{2} n^{2} x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n^{2}\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(B^{2} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{2} a b d^{2} n^{2} x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n^{2}\right)} \log\left(d x + c\right)^{2} + 2 \, {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d + B^{2} a^{2} d^{2}\right)} \log\left(e\right)^{2} + 2 \, {\left(A B b^{2} c^{2} - 4 \, A B a b c d + 3 \, A B a^{2} d^{2}\right)} n - 2 \, {\left(3 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n^{2} + 2 \, {\left(A B b^{2} c d - A B a b d^{2}\right)} n\right)} x + 2 \, {\left({\left(B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{2} b^{2} d^{2} n^{2} + 2 \, A B b^{2} d^{2} n\right)} x^{2} + 2 \, {\left(A B b^{2} c^{2} - 2 \, A B a b c d\right)} n - 2 \, {\left(2 \, A B a b d^{2} n + {\left(B^{2} b^{2} c d + 2 \, B^{2} a b d^{2}\right)} n^{2}\right)} x - 2 \, {\left(B^{2} b^{2} d^{2} n x^{2} + 2 \, B^{2} a b d^{2} n x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 2 \, {\left({\left(B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{2} b^{2} d^{2} n^{2} + 2 \, A B b^{2} d^{2} n\right)} x^{2} + 2 \, {\left(A B b^{2} c^{2} - 2 \, A B a b c d\right)} n - 2 \, {\left(2 \, A B a b d^{2} n + {\left(B^{2} b^{2} c d + 2 \, B^{2} a b d^{2}\right)} n^{2}\right)} x - 2 \, {\left(B^{2} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{2} a b d^{2} n^{2} x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n^{2}\right)} \log\left(b x + a\right) - 2 \, {\left(B^{2} b^{2} d^{2} n x^{2} + 2 \, B^{2} a b d^{2} n x - {\left(B^{2} b^{2} c^{2} - 2 \, B^{2} a b c d\right)} n\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 2 \, {\left(2 \, A B b^{2} c^{2} - 4 \, A B a b c d + 2 \, A B a^{2} d^{2} - 2 \, {\left(B^{2} b^{2} c d - B^{2} a b d^{2}\right)} n x + {\left(B^{2} b^{2} c^{2} - 4 \, B^{2} a b c d + 3 \, B^{2} a^{2} d^{2}\right)} n\right)} \log\left(e\right)}{4 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x\right)}}"," ",0,"-1/4*(2*A^2*b^2*c^2 - 4*A^2*a*b*c*d + 2*A^2*a^2*d^2 + (B^2*b^2*c^2 - 8*B^2*a*b*c*d + 7*B^2*a^2*d^2)*n^2 - 2*(B^2*b^2*d^2*n^2*x^2 + 2*B^2*a*b*d^2*n^2*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n^2)*log(b*x + a)^2 - 2*(B^2*b^2*d^2*n^2*x^2 + 2*B^2*a*b*d^2*n^2*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n^2)*log(d*x + c)^2 + 2*(B^2*b^2*c^2 - 2*B^2*a*b*c*d + B^2*a^2*d^2)*log(e)^2 + 2*(A*B*b^2*c^2 - 4*A*B*a*b*c*d + 3*A*B*a^2*d^2)*n - 2*(3*(B^2*b^2*c*d - B^2*a*b*d^2)*n^2 + 2*(A*B*b^2*c*d - A*B*a*b*d^2)*n)*x + 2*((B^2*b^2*c^2 - 4*B^2*a*b*c*d)*n^2 - (3*B^2*b^2*d^2*n^2 + 2*A*B*b^2*d^2*n)*x^2 + 2*(A*B*b^2*c^2 - 2*A*B*a*b*c*d)*n - 2*(2*A*B*a*b*d^2*n + (B^2*b^2*c*d + 2*B^2*a*b*d^2)*n^2)*x - 2*(B^2*b^2*d^2*n*x^2 + 2*B^2*a*b*d^2*n*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n)*log(e))*log(b*x + a) - 2*((B^2*b^2*c^2 - 4*B^2*a*b*c*d)*n^2 - (3*B^2*b^2*d^2*n^2 + 2*A*B*b^2*d^2*n)*x^2 + 2*(A*B*b^2*c^2 - 2*A*B*a*b*c*d)*n - 2*(2*A*B*a*b*d^2*n + (B^2*b^2*c*d + 2*B^2*a*b*d^2)*n^2)*x - 2*(B^2*b^2*d^2*n^2*x^2 + 2*B^2*a*b*d^2*n^2*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n^2)*log(b*x + a) - 2*(B^2*b^2*d^2*n*x^2 + 2*B^2*a*b*d^2*n*x - (B^2*b^2*c^2 - 2*B^2*a*b*c*d)*n)*log(e))*log(d*x + c) + 2*(2*A*B*b^2*c^2 - 4*A*B*a*b*c*d + 2*A*B*a^2*d^2 - 2*(B^2*b^2*c*d - B^2*a*b*d^2)*n*x + (B^2*b^2*c^2 - 4*B^2*a*b*c*d + 3*B^2*a^2*d^2)*n)*log(e))/(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x)","B",0
162,1,1635,0,0.520981," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{18 \, A^{2} b^{3} c^{3} - 54 \, A^{2} a b^{2} c^{2} d + 54 \, A^{2} a^{2} b c d^{2} - 18 \, A^{2} a^{3} d^{3} + {\left(4 \, B^{2} b^{3} c^{3} - 27 \, B^{2} a b^{2} c^{2} d + 108 \, B^{2} a^{2} b c d^{2} - 85 \, B^{2} a^{3} d^{3}\right)} n^{2} + 6 \, {\left(11 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n^{2} + 6 \, {\left(A B b^{3} c d^{2} - A B a b^{2} d^{3}\right)} n\right)} x^{2} + 18 \, {\left(B^{2} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{2} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{2} a^{2} b d^{3} n^{2} x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(b x + a\right)^{2} + 18 \, {\left(B^{2} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{2} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{2} a^{2} b d^{3} n^{2} x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(d x + c\right)^{2} + 18 \, {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2} - B^{2} a^{3} d^{3}\right)} \log\left(e\right)^{2} + 6 \, {\left(2 \, A B b^{3} c^{3} - 9 \, A B a b^{2} c^{2} d + 18 \, A B a^{2} b c d^{2} - 11 \, A B a^{3} d^{3}\right)} n - 3 \, {\left({\left(5 \, B^{2} b^{3} c^{2} d - 54 \, B^{2} a b^{2} c d^{2} + 49 \, B^{2} a^{2} b d^{3}\right)} n^{2} + 6 \, {\left(A B b^{3} c^{2} d - 6 \, A B a b^{2} c d^{2} + 5 \, A B a^{2} b d^{3}\right)} n\right)} x + 6 \, {\left({\left(11 \, B^{2} b^{3} d^{3} n^{2} + 6 \, A B b^{3} d^{3} n\right)} x^{3} + {\left(2 \, B^{2} b^{3} c^{3} - 9 \, B^{2} a b^{2} c^{2} d + 18 \, B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B a b^{2} d^{3} n + {\left(2 \, B^{2} b^{3} c d^{2} + 9 \, B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 6 \, {\left(A B b^{3} c^{3} - 3 \, A B a b^{2} c^{2} d + 3 \, A B a^{2} b c d^{2}\right)} n + 3 \, {\left(6 \, A B a^{2} b d^{3} n - {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} - 6 \, B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x + 6 \, {\left(B^{2} b^{3} d^{3} n x^{3} + 3 \, B^{2} a b^{2} d^{3} n x^{2} + 3 \, B^{2} a^{2} b d^{3} n x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 6 \, {\left({\left(11 \, B^{2} b^{3} d^{3} n^{2} + 6 \, A B b^{3} d^{3} n\right)} x^{3} + {\left(2 \, B^{2} b^{3} c^{3} - 9 \, B^{2} a b^{2} c^{2} d + 18 \, B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B a b^{2} d^{3} n + {\left(2 \, B^{2} b^{3} c d^{2} + 9 \, B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 6 \, {\left(A B b^{3} c^{3} - 3 \, A B a b^{2} c^{2} d + 3 \, A B a^{2} b c d^{2}\right)} n + 3 \, {\left(6 \, A B a^{2} b d^{3} n - {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} - 6 \, B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x + 6 \, {\left(B^{2} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{2} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{2} a^{2} b d^{3} n^{2} x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(b x + a\right) + 6 \, {\left(B^{2} b^{3} d^{3} n x^{3} + 3 \, B^{2} a b^{2} d^{3} n x^{2} + 3 \, B^{2} a^{2} b d^{3} n x + {\left(B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} n\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 6 \, {\left(6 \, A B b^{3} c^{3} - 18 \, A B a b^{2} c^{2} d + 18 \, A B a^{2} b c d^{2} - 6 \, A B a^{3} d^{3} + 6 \, {\left(B^{2} b^{3} c d^{2} - B^{2} a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} + 5 \, B^{2} a^{2} b d^{3}\right)} n x + {\left(2 \, B^{2} b^{3} c^{3} - 9 \, B^{2} a b^{2} c^{2} d + 18 \, B^{2} a^{2} b c d^{2} - 11 \, B^{2} a^{3} d^{3}\right)} n\right)} \log\left(e\right)}{54 \, {\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} + {\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^{3} + 3 \, {\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^{2} + 3 \, {\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\right)}}"," ",0,"-1/54*(18*A^2*b^3*c^3 - 54*A^2*a*b^2*c^2*d + 54*A^2*a^2*b*c*d^2 - 18*A^2*a^3*d^3 + (4*B^2*b^3*c^3 - 27*B^2*a*b^2*c^2*d + 108*B^2*a^2*b*c*d^2 - 85*B^2*a^3*d^3)*n^2 + 6*(11*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n^2 + 6*(A*B*b^3*c*d^2 - A*B*a*b^2*d^3)*n)*x^2 + 18*(B^2*b^3*d^3*n^2*x^3 + 3*B^2*a*b^2*d^3*n^2*x^2 + 3*B^2*a^2*b*d^3*n^2*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n^2)*log(b*x + a)^2 + 18*(B^2*b^3*d^3*n^2*x^3 + 3*B^2*a*b^2*d^3*n^2*x^2 + 3*B^2*a^2*b*d^3*n^2*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n^2)*log(d*x + c)^2 + 18*(B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2 - B^2*a^3*d^3)*log(e)^2 + 6*(2*A*B*b^3*c^3 - 9*A*B*a*b^2*c^2*d + 18*A*B*a^2*b*c*d^2 - 11*A*B*a^3*d^3)*n - 3*((5*B^2*b^3*c^2*d - 54*B^2*a*b^2*c*d^2 + 49*B^2*a^2*b*d^3)*n^2 + 6*(A*B*b^3*c^2*d - 6*A*B*a*b^2*c*d^2 + 5*A*B*a^2*b*d^3)*n)*x + 6*((11*B^2*b^3*d^3*n^2 + 6*A*B*b^3*d^3*n)*x^3 + (2*B^2*b^3*c^3 - 9*B^2*a*b^2*c^2*d + 18*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B*a*b^2*d^3*n + (2*B^2*b^3*c*d^2 + 9*B^2*a*b^2*d^3)*n^2)*x^2 + 6*(A*B*b^3*c^3 - 3*A*B*a*b^2*c^2*d + 3*A*B*a^2*b*c*d^2)*n + 3*(6*A*B*a^2*b*d^3*n - (B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 - 6*B^2*a^2*b*d^3)*n^2)*x + 6*(B^2*b^3*d^3*n*x^3 + 3*B^2*a*b^2*d^3*n*x^2 + 3*B^2*a^2*b*d^3*n*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n)*log(e))*log(b*x + a) - 6*((11*B^2*b^3*d^3*n^2 + 6*A*B*b^3*d^3*n)*x^3 + (2*B^2*b^3*c^3 - 9*B^2*a*b^2*c^2*d + 18*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B*a*b^2*d^3*n + (2*B^2*b^3*c*d^2 + 9*B^2*a*b^2*d^3)*n^2)*x^2 + 6*(A*B*b^3*c^3 - 3*A*B*a*b^2*c^2*d + 3*A*B*a^2*b*c*d^2)*n + 3*(6*A*B*a^2*b*d^3*n - (B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 - 6*B^2*a^2*b*d^3)*n^2)*x + 6*(B^2*b^3*d^3*n^2*x^3 + 3*B^2*a*b^2*d^3*n^2*x^2 + 3*B^2*a^2*b*d^3*n^2*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n^2)*log(b*x + a) + 6*(B^2*b^3*d^3*n*x^3 + 3*B^2*a*b^2*d^3*n*x^2 + 3*B^2*a^2*b*d^3*n*x + (B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*n)*log(e))*log(d*x + c) + 6*(6*A*B*b^3*c^3 - 18*A*B*a*b^2*c^2*d + 18*A*B*a^2*b*c*d^2 - 6*A*B*a^3*d^3 + 6*(B^2*b^3*c*d^2 - B^2*a*b^2*d^3)*n*x^2 - 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 + 5*B^2*a^2*b*d^3)*n*x + (2*B^2*b^3*c^3 - 9*B^2*a*b^2*c^2*d + 18*B^2*a^2*b*c*d^2 - 11*B^2*a^3*d^3)*n)*log(e))/(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 + (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^3 + 3*(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^2 + 3*(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)","B",0
163,1,2458,0,0.578423," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)^5,x, algorithm=""fricas"")","-\frac{72 \, A^{2} b^{4} c^{4} - 288 \, A^{2} a b^{3} c^{3} d + 432 \, A^{2} a^{2} b^{2} c^{2} d^{2} - 288 \, A^{2} a^{3} b c d^{3} + 72 \, A^{2} a^{4} d^{4} - 12 \, {\left(25 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c d^{3} - A B a b^{3} d^{4}\right)} n\right)} x^{3} + {\left(9 \, B^{2} b^{4} c^{4} - 64 \, B^{2} a b^{3} c^{3} d + 216 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 576 \, B^{2} a^{3} b c d^{3} + 415 \, B^{2} a^{4} d^{4}\right)} n^{2} + 6 \, {\left({\left(13 \, B^{2} b^{4} c^{2} d^{2} - 176 \, B^{2} a b^{3} c d^{3} + 163 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c^{2} d^{2} - 8 \, A B a b^{3} c d^{3} + 7 \, A B a^{2} b^{2} d^{4}\right)} n\right)} x^{2} - 72 \, {\left(B^{2} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{2} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{2} a^{3} b d^{4} n^{2} x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(b x + a\right)^{2} - 72 \, {\left(B^{2} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{2} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{2} a^{3} b d^{4} n^{2} x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(d x + c\right)^{2} + 72 \, {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3} + B^{2} a^{4} d^{4}\right)} \log\left(e\right)^{2} + 12 \, {\left(3 \, A B b^{4} c^{4} - 16 \, A B a b^{3} c^{3} d + 36 \, A B a^{2} b^{2} c^{2} d^{2} - 48 \, A B a^{3} b c d^{3} + 25 \, A B a^{4} d^{4}\right)} n - 4 \, {\left({\left(7 \, B^{2} b^{4} c^{3} d - 60 \, B^{2} a b^{3} c^{2} d^{2} + 324 \, B^{2} a^{2} b^{2} c d^{3} - 271 \, B^{2} a^{3} b d^{4}\right)} n^{2} + 12 \, {\left(A B b^{4} c^{3} d - 6 \, A B a b^{3} c^{2} d^{2} + 18 \, A B a^{2} b^{2} c d^{3} - 13 \, A B a^{3} b d^{4}\right)} n\right)} x - 12 \, {\left({\left(25 \, B^{2} b^{4} d^{4} n^{2} + 12 \, A B b^{4} d^{4} n\right)} x^{4} + 4 \, {\left(12 \, A B a b^{3} d^{4} n + {\left(3 \, B^{2} b^{4} c d^{3} + 22 \, B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - {\left(3 \, B^{2} b^{4} c^{4} - 16 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B a^{2} b^{2} d^{4} n - {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} - 18 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(A B b^{4} c^{4} - 4 \, A B a b^{3} c^{3} d + 6 \, A B a^{2} b^{2} c^{2} d^{2} - 4 \, A B a^{3} b c d^{3}\right)} n + 4 \, {\left(12 \, A B a^{3} b d^{4} n + {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} + 12 \, B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x + 12 \, {\left(B^{2} b^{4} d^{4} n x^{4} + 4 \, B^{2} a b^{3} d^{4} n x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n x^{2} + 4 \, B^{2} a^{3} b d^{4} n x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 12 \, {\left({\left(25 \, B^{2} b^{4} d^{4} n^{2} + 12 \, A B b^{4} d^{4} n\right)} x^{4} + 4 \, {\left(12 \, A B a b^{3} d^{4} n + {\left(3 \, B^{2} b^{4} c d^{3} + 22 \, B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - {\left(3 \, B^{2} b^{4} c^{4} - 16 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B a^{2} b^{2} d^{4} n - {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} - 18 \, B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(A B b^{4} c^{4} - 4 \, A B a b^{3} c^{3} d + 6 \, A B a^{2} b^{2} c^{2} d^{2} - 4 \, A B a^{3} b c d^{3}\right)} n + 4 \, {\left(12 \, A B a^{3} b d^{4} n + {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} + 12 \, B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x + 12 \, {\left(B^{2} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{2} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{2} a^{3} b d^{4} n^{2} x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(b x + a\right) + 12 \, {\left(B^{2} b^{4} d^{4} n x^{4} + 4 \, B^{2} a b^{3} d^{4} n x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} n x^{2} + 4 \, B^{2} a^{3} b d^{4} n x - {\left(B^{2} b^{4} c^{4} - 4 \, B^{2} a b^{3} c^{3} d + 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{2} a^{3} b c d^{3}\right)} n\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 12 \, {\left(12 \, A B b^{4} c^{4} - 48 \, A B a b^{3} c^{3} d + 72 \, A B a^{2} b^{2} c^{2} d^{2} - 48 \, A B a^{3} b c d^{3} + 12 \, A B a^{4} d^{4} - 12 \, {\left(B^{2} b^{4} c d^{3} - B^{2} a b^{3} d^{4}\right)} n x^{3} + 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} + 7 \, B^{2} a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} - 13 \, B^{2} a^{3} b d^{4}\right)} n x + {\left(3 \, B^{2} b^{4} c^{4} - 16 \, B^{2} a b^{3} c^{3} d + 36 \, B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{2} a^{3} b c d^{3} + 25 \, B^{2} a^{4} d^{4}\right)} n\right)} \log\left(e\right)}{288 \, {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4} + {\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} x\right)}}"," ",0,"-1/288*(72*A^2*b^4*c^4 - 288*A^2*a*b^3*c^3*d + 432*A^2*a^2*b^2*c^2*d^2 - 288*A^2*a^3*b*c*d^3 + 72*A^2*a^4*d^4 - 12*(25*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n^2 + 12*(A*B*b^4*c*d^3 - A*B*a*b^3*d^4)*n)*x^3 + (9*B^2*b^4*c^4 - 64*B^2*a*b^3*c^3*d + 216*B^2*a^2*b^2*c^2*d^2 - 576*B^2*a^3*b*c*d^3 + 415*B^2*a^4*d^4)*n^2 + 6*((13*B^2*b^4*c^2*d^2 - 176*B^2*a*b^3*c*d^3 + 163*B^2*a^2*b^2*d^4)*n^2 + 12*(A*B*b^4*c^2*d^2 - 8*A*B*a*b^3*c*d^3 + 7*A*B*a^2*b^2*d^4)*n)*x^2 - 72*(B^2*b^4*d^4*n^2*x^4 + 4*B^2*a*b^3*d^4*n^2*x^3 + 6*B^2*a^2*b^2*d^4*n^2*x^2 + 4*B^2*a^3*b*d^4*n^2*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n^2)*log(b*x + a)^2 - 72*(B^2*b^4*d^4*n^2*x^4 + 4*B^2*a*b^3*d^4*n^2*x^3 + 6*B^2*a^2*b^2*d^4*n^2*x^2 + 4*B^2*a^3*b*d^4*n^2*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n^2)*log(d*x + c)^2 + 72*(B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3 + B^2*a^4*d^4)*log(e)^2 + 12*(3*A*B*b^4*c^4 - 16*A*B*a*b^3*c^3*d + 36*A*B*a^2*b^2*c^2*d^2 - 48*A*B*a^3*b*c*d^3 + 25*A*B*a^4*d^4)*n - 4*((7*B^2*b^4*c^3*d - 60*B^2*a*b^3*c^2*d^2 + 324*B^2*a^2*b^2*c*d^3 - 271*B^2*a^3*b*d^4)*n^2 + 12*(A*B*b^4*c^3*d - 6*A*B*a*b^3*c^2*d^2 + 18*A*B*a^2*b^2*c*d^3 - 13*A*B*a^3*b*d^4)*n)*x - 12*((25*B^2*b^4*d^4*n^2 + 12*A*B*b^4*d^4*n)*x^4 + 4*(12*A*B*a*b^3*d^4*n + (3*B^2*b^4*c*d^3 + 22*B^2*a*b^3*d^4)*n^2)*x^3 - (3*B^2*b^4*c^4 - 16*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 48*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B*a^2*b^2*d^4*n - (B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 - 18*B^2*a^2*b^2*d^4)*n^2)*x^2 - 12*(A*B*b^4*c^4 - 4*A*B*a*b^3*c^3*d + 6*A*B*a^2*b^2*c^2*d^2 - 4*A*B*a^3*b*c*d^3)*n + 4*(12*A*B*a^3*b*d^4*n + (B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 + 12*B^2*a^3*b*d^4)*n^2)*x + 12*(B^2*b^4*d^4*n*x^4 + 4*B^2*a*b^3*d^4*n*x^3 + 6*B^2*a^2*b^2*d^4*n*x^2 + 4*B^2*a^3*b*d^4*n*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n)*log(e))*log(b*x + a) + 12*((25*B^2*b^4*d^4*n^2 + 12*A*B*b^4*d^4*n)*x^4 + 4*(12*A*B*a*b^3*d^4*n + (3*B^2*b^4*c*d^3 + 22*B^2*a*b^3*d^4)*n^2)*x^3 - (3*B^2*b^4*c^4 - 16*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 48*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B*a^2*b^2*d^4*n - (B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 - 18*B^2*a^2*b^2*d^4)*n^2)*x^2 - 12*(A*B*b^4*c^4 - 4*A*B*a*b^3*c^3*d + 6*A*B*a^2*b^2*c^2*d^2 - 4*A*B*a^3*b*c*d^3)*n + 4*(12*A*B*a^3*b*d^4*n + (B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 + 12*B^2*a^3*b*d^4)*n^2)*x + 12*(B^2*b^4*d^4*n^2*x^4 + 4*B^2*a*b^3*d^4*n^2*x^3 + 6*B^2*a^2*b^2*d^4*n^2*x^2 + 4*B^2*a^3*b*d^4*n^2*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n^2)*log(b*x + a) + 12*(B^2*b^4*d^4*n*x^4 + 4*B^2*a*b^3*d^4*n*x^3 + 6*B^2*a^2*b^2*d^4*n*x^2 + 4*B^2*a^3*b*d^4*n*x - (B^2*b^4*c^4 - 4*B^2*a*b^3*c^3*d + 6*B^2*a^2*b^2*c^2*d^2 - 4*B^2*a^3*b*c*d^3)*n)*log(e))*log(d*x + c) + 12*(12*A*B*b^4*c^4 - 48*A*B*a*b^3*c^3*d + 72*A*B*a^2*b^2*c^2*d^2 - 48*A*B*a^3*b*c*d^3 + 12*A*B*a^4*d^4 - 12*(B^2*b^4*c*d^3 - B^2*a*b^3*d^4)*n*x^3 + 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 + 7*B^2*a^2*b^2*d^4)*n*x^2 - 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 - 13*B^2*a^3*b*d^4)*n*x + (3*B^2*b^4*c^4 - 16*B^2*a*b^3*c^3*d + 36*B^2*a^2*b^2*c^2*d^2 - 48*B^2*a^3*b*c*d^3 + 25*B^2*a^4*d^4)*n)*log(e))/(a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4 + (b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*x)","B",0
164,0,0,0,0.465039," ","integrate((b*x+a)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(A^{3} b^{3} x^{3} + 3 \, A^{3} a b^{2} x^{2} + 3 \, A^{3} a^{2} b x + A^{3} a^{3} + {\left(B^{3} b^{3} x^{3} + 3 \, B^{3} a b^{2} x^{2} + 3 \, B^{3} a^{2} b x + B^{3} a^{3}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, {\left(A B^{2} b^{3} x^{3} + 3 \, A B^{2} a b^{2} x^{2} + 3 \, A B^{2} a^{2} b x + A B^{2} a^{3}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, {\left(A^{2} B b^{3} x^{3} + 3 \, A^{2} B a b^{2} x^{2} + 3 \, A^{2} B a^{2} b x + A^{2} B a^{3}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^3*b^3*x^3 + 3*A^3*a*b^2*x^2 + 3*A^3*a^2*b*x + A^3*a^3 + (B^3*b^3*x^3 + 3*B^3*a*b^2*x^2 + 3*B^3*a^2*b*x + B^3*a^3)*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*(A*B^2*b^3*x^3 + 3*A*B^2*a*b^2*x^2 + 3*A*B^2*a^2*b*x + A*B^2*a^3)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*(A^2*B*b^3*x^3 + 3*A^2*B*a*b^2*x^2 + 3*A^2*B*a^2*b*x + A^2*B*a^3)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
165,0,0,0,0.443170," ","integrate((b*x+a)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(A^{3} b^{2} x^{2} + 2 \, A^{3} a b x + A^{3} a^{2} + {\left(B^{3} b^{2} x^{2} + 2 \, B^{3} a b x + B^{3} a^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, {\left(A B^{2} b^{2} x^{2} + 2 \, A B^{2} a b x + A B^{2} a^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, {\left(A^{2} B b^{2} x^{2} + 2 \, A^{2} B a b x + A^{2} B a^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^3*b^2*x^2 + 2*A^3*a*b*x + A^3*a^2 + (B^3*b^2*x^2 + 2*B^3*a*b*x + B^3*a^2)*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*(A*B^2*b^2*x^2 + 2*A*B^2*a*b*x + A*B^2*a^2)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*(A^2*B*b^2*x^2 + 2*A^2*B*a*b*x + A^2*B*a^2)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
166,0,0,0,0.430889," ","integrate((b*x+a)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(A^{3} b x + A^{3} a + {\left(B^{3} b x + B^{3} a\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, {\left(A B^{2} b x + A B^{2} a\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, {\left(A^{2} B b x + A^{2} B a\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^3*b*x + A^3*a + (B^3*b*x + B^3*a)*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*(A*B^2*b*x + A*B^2*a)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*(A^2*B*b*x + A^2*B*a)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
167,0,0,0,0.435149," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{3} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, A B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, A^{2} B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{3}}{b x + a}, x\right)"," ",0,"integral((B^3*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*A*B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*A^2*B*log((b*x + a)^n*e/(d*x + c)^n) + A^3)/(b*x + a), x)","F",0
168,1,825,0,0.490937," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{A^{3} b c - A^{3} a d + 6 \, {\left(B^{3} b c - B^{3} a d\right)} n^{3} + {\left(B^{3} b d n^{3} x + B^{3} b c n^{3}\right)} \log\left(b x + a\right)^{3} - {\left(B^{3} b d n^{3} x + B^{3} b c n^{3}\right)} \log\left(d x + c\right)^{3} + {\left(B^{3} b c - B^{3} a d\right)} \log\left(e\right)^{3} + 6 \, {\left(A B^{2} b c - A B^{2} a d\right)} n^{2} + 3 \, {\left(B^{3} b c n^{3} + A B^{2} b c n^{2} + {\left(B^{3} b d n^{3} + A B^{2} b d n^{2}\right)} x + {\left(B^{3} b d n^{2} x + B^{3} b c n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right)^{2} + 3 \, {\left(B^{3} b c n^{3} + A B^{2} b c n^{2} + {\left(B^{3} b d n^{3} + A B^{2} b d n^{2}\right)} x + {\left(B^{3} b d n^{3} x + B^{3} b c n^{3}\right)} \log\left(b x + a\right) + {\left(B^{3} b d n^{2} x + B^{3} b c n^{2}\right)} \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 3 \, {\left(A B^{2} b c - A B^{2} a d + {\left(B^{3} b c - B^{3} a d\right)} n\right)} \log\left(e\right)^{2} + 3 \, {\left(A^{2} B b c - A^{2} B a d\right)} n + 3 \, {\left(2 \, B^{3} b c n^{3} + 2 \, A B^{2} b c n^{2} + A^{2} B b c n + {\left(B^{3} b d n x + B^{3} b c n\right)} \log\left(e\right)^{2} + {\left(2 \, B^{3} b d n^{3} + 2 \, A B^{2} b d n^{2} + A^{2} B b d n\right)} x + 2 \, {\left(B^{3} b c n^{2} + A B^{2} b c n + {\left(B^{3} b d n^{2} + A B^{2} b d n\right)} x\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 3 \, {\left(2 \, B^{3} b c n^{3} + 2 \, A B^{2} b c n^{2} + A^{2} B b c n + {\left(B^{3} b d n^{3} x + B^{3} b c n^{3}\right)} \log\left(b x + a\right)^{2} + {\left(B^{3} b d n x + B^{3} b c n\right)} \log\left(e\right)^{2} + {\left(2 \, B^{3} b d n^{3} + 2 \, A B^{2} b d n^{2} + A^{2} B b d n\right)} x + 2 \, {\left(B^{3} b c n^{3} + A B^{2} b c n^{2} + {\left(B^{3} b d n^{3} + A B^{2} b d n^{2}\right)} x + {\left(B^{3} b d n^{2} x + B^{3} b c n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 2 \, {\left(B^{3} b c n^{2} + A B^{2} b c n + {\left(B^{3} b d n^{2} + A B^{2} b d n\right)} x\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 3 \, {\left(A^{2} B b c - A^{2} B a d + 2 \, {\left(B^{3} b c - B^{3} a d\right)} n^{2} + 2 \, {\left(A B^{2} b c - A B^{2} a d\right)} n\right)} \log\left(e\right)}{a b^{2} c - a^{2} b d + {\left(b^{3} c - a b^{2} d\right)} x}"," ",0,"-(A^3*b*c - A^3*a*d + 6*(B^3*b*c - B^3*a*d)*n^3 + (B^3*b*d*n^3*x + B^3*b*c*n^3)*log(b*x + a)^3 - (B^3*b*d*n^3*x + B^3*b*c*n^3)*log(d*x + c)^3 + (B^3*b*c - B^3*a*d)*log(e)^3 + 6*(A*B^2*b*c - A*B^2*a*d)*n^2 + 3*(B^3*b*c*n^3 + A*B^2*b*c*n^2 + (B^3*b*d*n^3 + A*B^2*b*d*n^2)*x + (B^3*b*d*n^2*x + B^3*b*c*n^2)*log(e))*log(b*x + a)^2 + 3*(B^3*b*c*n^3 + A*B^2*b*c*n^2 + (B^3*b*d*n^3 + A*B^2*b*d*n^2)*x + (B^3*b*d*n^3*x + B^3*b*c*n^3)*log(b*x + a) + (B^3*b*d*n^2*x + B^3*b*c*n^2)*log(e))*log(d*x + c)^2 + 3*(A*B^2*b*c - A*B^2*a*d + (B^3*b*c - B^3*a*d)*n)*log(e)^2 + 3*(A^2*B*b*c - A^2*B*a*d)*n + 3*(2*B^3*b*c*n^3 + 2*A*B^2*b*c*n^2 + A^2*B*b*c*n + (B^3*b*d*n*x + B^3*b*c*n)*log(e)^2 + (2*B^3*b*d*n^3 + 2*A*B^2*b*d*n^2 + A^2*B*b*d*n)*x + 2*(B^3*b*c*n^2 + A*B^2*b*c*n + (B^3*b*d*n^2 + A*B^2*b*d*n)*x)*log(e))*log(b*x + a) - 3*(2*B^3*b*c*n^3 + 2*A*B^2*b*c*n^2 + A^2*B*b*c*n + (B^3*b*d*n^3*x + B^3*b*c*n^3)*log(b*x + a)^2 + (B^3*b*d*n*x + B^3*b*c*n)*log(e)^2 + (2*B^3*b*d*n^3 + 2*A*B^2*b*d*n^2 + A^2*B*b*d*n)*x + 2*(B^3*b*c*n^3 + A*B^2*b*c*n^2 + (B^3*b*d*n^3 + A*B^2*b*d*n^2)*x + (B^3*b*d*n^2*x + B^3*b*c*n^2)*log(e))*log(b*x + a) + 2*(B^3*b*c*n^2 + A*B^2*b*c*n + (B^3*b*d*n^2 + A*B^2*b*d*n)*x)*log(e))*log(d*x + c) + 3*(A^2*B*b*c - A^2*B*a*d + 2*(B^3*b*c - B^3*a*d)*n^2 + 2*(A*B^2*b*c - A*B^2*a*d)*n)*log(e))/(a*b^2*c - a^2*b*d + (b^3*c - a*b^2*d)*x)","B",0
169,1,2244,0,0.528775," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^3,x, algorithm=""fricas"")","-\frac{4 \, A^{3} b^{2} c^{2} - 8 \, A^{3} a b c d + 4 \, A^{3} a^{2} d^{2} + 3 \, {\left(B^{3} b^{2} c^{2} - 16 \, B^{3} a b c d + 15 \, B^{3} a^{2} d^{2}\right)} n^{3} - 4 \, {\left(B^{3} b^{2} d^{2} n^{3} x^{2} + 2 \, B^{3} a b d^{2} n^{3} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{3}\right)} \log\left(b x + a\right)^{3} + 4 \, {\left(B^{3} b^{2} d^{2} n^{3} x^{2} + 2 \, B^{3} a b d^{2} n^{3} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{3}\right)} \log\left(d x + c\right)^{3} + 4 \, {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d + B^{3} a^{2} d^{2}\right)} \log\left(e\right)^{3} + 6 \, {\left(A B^{2} b^{2} c^{2} - 8 \, A B^{2} a b c d + 7 \, A B^{2} a^{2} d^{2}\right)} n^{2} + 6 \, {\left({\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c^{2} - 2 \, A B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{3} b^{2} d^{2} n^{3} + 2 \, A B^{2} b^{2} d^{2} n^{2}\right)} x^{2} - 2 \, {\left(2 \, A B^{2} a b d^{2} n^{2} + {\left(B^{3} b^{2} c d + 2 \, B^{3} a b d^{2}\right)} n^{3}\right)} x - 2 \, {\left(B^{3} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{3} a b d^{2} n^{2} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right)^{2} + 6 \, {\left({\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c^{2} - 2 \, A B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{3} b^{2} d^{2} n^{3} + 2 \, A B^{2} b^{2} d^{2} n^{2}\right)} x^{2} - 2 \, {\left(2 \, A B^{2} a b d^{2} n^{2} + {\left(B^{3} b^{2} c d + 2 \, B^{3} a b d^{2}\right)} n^{3}\right)} x - 2 \, {\left(B^{3} b^{2} d^{2} n^{3} x^{2} + 2 \, B^{3} a b d^{2} n^{3} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{3}\right)} \log\left(b x + a\right) - 2 \, {\left(B^{3} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{3} a b d^{2} n^{2} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 6 \, {\left(2 \, A B^{2} b^{2} c^{2} - 4 \, A B^{2} a b c d + 2 \, A B^{2} a^{2} d^{2} - 2 \, {\left(B^{3} b^{2} c d - B^{3} a b d^{2}\right)} n x + {\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d + 3 \, B^{3} a^{2} d^{2}\right)} n\right)} \log\left(e\right)^{2} + 6 \, {\left(A^{2} B b^{2} c^{2} - 4 \, A^{2} B a b c d + 3 \, A^{2} B a^{2} d^{2}\right)} n - 6 \, {\left(7 \, {\left(B^{3} b^{2} c d - B^{3} a b d^{2}\right)} n^{3} + 6 \, {\left(A B^{2} b^{2} c d - A B^{2} a b d^{2}\right)} n^{2} + 2 \, {\left(A^{2} B b^{2} c d - A^{2} B a b d^{2}\right)} n\right)} x + 6 \, {\left({\left(B^{3} b^{2} c^{2} - 8 \, B^{3} a b c d\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c^{2} - 4 \, A B^{2} a b c d\right)} n^{2} - {\left(7 \, B^{3} b^{2} d^{2} n^{3} + 6 \, A B^{2} b^{2} d^{2} n^{2} + 2 \, A^{2} B b^{2} d^{2} n\right)} x^{2} - 2 \, {\left(B^{3} b^{2} d^{2} n x^{2} + 2 \, B^{3} a b d^{2} n x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n\right)} \log\left(e\right)^{2} + 2 \, {\left(A^{2} B b^{2} c^{2} - 2 \, A^{2} B a b c d\right)} n - 2 \, {\left(2 \, A^{2} B a b d^{2} n + {\left(3 \, B^{3} b^{2} c d + 4 \, B^{3} a b d^{2}\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c d + 2 \, A B^{2} a b d^{2}\right)} n^{2}\right)} x + 2 \, {\left({\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d\right)} n^{2} - {\left(3 \, B^{3} b^{2} d^{2} n^{2} + 2 \, A B^{2} b^{2} d^{2} n\right)} x^{2} + 2 \, {\left(A B^{2} b^{2} c^{2} - 2 \, A B^{2} a b c d\right)} n - 2 \, {\left(2 \, A B^{2} a b d^{2} n + {\left(B^{3} b^{2} c d + 2 \, B^{3} a b d^{2}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 6 \, {\left({\left(B^{3} b^{2} c^{2} - 8 \, B^{3} a b c d\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c^{2} - 4 \, A B^{2} a b c d\right)} n^{2} - {\left(7 \, B^{3} b^{2} d^{2} n^{3} + 6 \, A B^{2} b^{2} d^{2} n^{2} + 2 \, A^{2} B b^{2} d^{2} n\right)} x^{2} - 2 \, {\left(B^{3} b^{2} d^{2} n^{3} x^{2} + 2 \, B^{3} a b d^{2} n^{3} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{3}\right)} \log\left(b x + a\right)^{2} - 2 \, {\left(B^{3} b^{2} d^{2} n x^{2} + 2 \, B^{3} a b d^{2} n x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n\right)} \log\left(e\right)^{2} + 2 \, {\left(A^{2} B b^{2} c^{2} - 2 \, A^{2} B a b c d\right)} n - 2 \, {\left(2 \, A^{2} B a b d^{2} n + {\left(3 \, B^{3} b^{2} c d + 4 \, B^{3} a b d^{2}\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c d + 2 \, A B^{2} a b d^{2}\right)} n^{2}\right)} x + 2 \, {\left({\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d\right)} n^{3} + 2 \, {\left(A B^{2} b^{2} c^{2} - 2 \, A B^{2} a b c d\right)} n^{2} - {\left(3 \, B^{3} b^{2} d^{2} n^{3} + 2 \, A B^{2} b^{2} d^{2} n^{2}\right)} x^{2} - 2 \, {\left(2 \, A B^{2} a b d^{2} n^{2} + {\left(B^{3} b^{2} c d + 2 \, B^{3} a b d^{2}\right)} n^{3}\right)} x - 2 \, {\left(B^{3} b^{2} d^{2} n^{2} x^{2} + 2 \, B^{3} a b d^{2} n^{2} x - {\left(B^{3} b^{2} c^{2} - 2 \, B^{3} a b c d\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 2 \, {\left({\left(B^{3} b^{2} c^{2} - 4 \, B^{3} a b c d\right)} n^{2} - {\left(3 \, B^{3} b^{2} d^{2} n^{2} + 2 \, A B^{2} b^{2} d^{2} n\right)} x^{2} + 2 \, {\left(A B^{2} b^{2} c^{2} - 2 \, A B^{2} a b c d\right)} n - 2 \, {\left(2 \, A B^{2} a b d^{2} n + {\left(B^{3} b^{2} c d + 2 \, B^{3} a b d^{2}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 6 \, {\left(2 \, A^{2} B b^{2} c^{2} - 4 \, A^{2} B a b c d + 2 \, A^{2} B a^{2} d^{2} + {\left(B^{3} b^{2} c^{2} - 8 \, B^{3} a b c d + 7 \, B^{3} a^{2} d^{2}\right)} n^{2} + 2 \, {\left(A B^{2} b^{2} c^{2} - 4 \, A B^{2} a b c d + 3 \, A B^{2} a^{2} d^{2}\right)} n - 2 \, {\left(3 \, {\left(B^{3} b^{2} c d - B^{3} a b d^{2}\right)} n^{2} + 2 \, {\left(A B^{2} b^{2} c d - A B^{2} a b d^{2}\right)} n\right)} x\right)} \log\left(e\right)}{8 \, {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2} + {\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} x\right)}}"," ",0,"-1/8*(4*A^3*b^2*c^2 - 8*A^3*a*b*c*d + 4*A^3*a^2*d^2 + 3*(B^3*b^2*c^2 - 16*B^3*a*b*c*d + 15*B^3*a^2*d^2)*n^3 - 4*(B^3*b^2*d^2*n^3*x^2 + 2*B^3*a*b*d^2*n^3*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^3)*log(b*x + a)^3 + 4*(B^3*b^2*d^2*n^3*x^2 + 2*B^3*a*b*d^2*n^3*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^3)*log(d*x + c)^3 + 4*(B^3*b^2*c^2 - 2*B^3*a*b*c*d + B^3*a^2*d^2)*log(e)^3 + 6*(A*B^2*b^2*c^2 - 8*A*B^2*a*b*c*d + 7*A*B^2*a^2*d^2)*n^2 + 6*((B^3*b^2*c^2 - 4*B^3*a*b*c*d)*n^3 + 2*(A*B^2*b^2*c^2 - 2*A*B^2*a*b*c*d)*n^2 - (3*B^3*b^2*d^2*n^3 + 2*A*B^2*b^2*d^2*n^2)*x^2 - 2*(2*A*B^2*a*b*d^2*n^2 + (B^3*b^2*c*d + 2*B^3*a*b*d^2)*n^3)*x - 2*(B^3*b^2*d^2*n^2*x^2 + 2*B^3*a*b*d^2*n^2*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^2)*log(e))*log(b*x + a)^2 + 6*((B^3*b^2*c^2 - 4*B^3*a*b*c*d)*n^3 + 2*(A*B^2*b^2*c^2 - 2*A*B^2*a*b*c*d)*n^2 - (3*B^3*b^2*d^2*n^3 + 2*A*B^2*b^2*d^2*n^2)*x^2 - 2*(2*A*B^2*a*b*d^2*n^2 + (B^3*b^2*c*d + 2*B^3*a*b*d^2)*n^3)*x - 2*(B^3*b^2*d^2*n^3*x^2 + 2*B^3*a*b*d^2*n^3*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^3)*log(b*x + a) - 2*(B^3*b^2*d^2*n^2*x^2 + 2*B^3*a*b*d^2*n^2*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^2)*log(e))*log(d*x + c)^2 + 6*(2*A*B^2*b^2*c^2 - 4*A*B^2*a*b*c*d + 2*A*B^2*a^2*d^2 - 2*(B^3*b^2*c*d - B^3*a*b*d^2)*n*x + (B^3*b^2*c^2 - 4*B^3*a*b*c*d + 3*B^3*a^2*d^2)*n)*log(e)^2 + 6*(A^2*B*b^2*c^2 - 4*A^2*B*a*b*c*d + 3*A^2*B*a^2*d^2)*n - 6*(7*(B^3*b^2*c*d - B^3*a*b*d^2)*n^3 + 6*(A*B^2*b^2*c*d - A*B^2*a*b*d^2)*n^2 + 2*(A^2*B*b^2*c*d - A^2*B*a*b*d^2)*n)*x + 6*((B^3*b^2*c^2 - 8*B^3*a*b*c*d)*n^3 + 2*(A*B^2*b^2*c^2 - 4*A*B^2*a*b*c*d)*n^2 - (7*B^3*b^2*d^2*n^3 + 6*A*B^2*b^2*d^2*n^2 + 2*A^2*B*b^2*d^2*n)*x^2 - 2*(B^3*b^2*d^2*n*x^2 + 2*B^3*a*b*d^2*n*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n)*log(e)^2 + 2*(A^2*B*b^2*c^2 - 2*A^2*B*a*b*c*d)*n - 2*(2*A^2*B*a*b*d^2*n + (3*B^3*b^2*c*d + 4*B^3*a*b*d^2)*n^3 + 2*(A*B^2*b^2*c*d + 2*A*B^2*a*b*d^2)*n^2)*x + 2*((B^3*b^2*c^2 - 4*B^3*a*b*c*d)*n^2 - (3*B^3*b^2*d^2*n^2 + 2*A*B^2*b^2*d^2*n)*x^2 + 2*(A*B^2*b^2*c^2 - 2*A*B^2*a*b*c*d)*n - 2*(2*A*B^2*a*b*d^2*n + (B^3*b^2*c*d + 2*B^3*a*b*d^2)*n^2)*x)*log(e))*log(b*x + a) - 6*((B^3*b^2*c^2 - 8*B^3*a*b*c*d)*n^3 + 2*(A*B^2*b^2*c^2 - 4*A*B^2*a*b*c*d)*n^2 - (7*B^3*b^2*d^2*n^3 + 6*A*B^2*b^2*d^2*n^2 + 2*A^2*B*b^2*d^2*n)*x^2 - 2*(B^3*b^2*d^2*n^3*x^2 + 2*B^3*a*b*d^2*n^3*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^3)*log(b*x + a)^2 - 2*(B^3*b^2*d^2*n*x^2 + 2*B^3*a*b*d^2*n*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n)*log(e)^2 + 2*(A^2*B*b^2*c^2 - 2*A^2*B*a*b*c*d)*n - 2*(2*A^2*B*a*b*d^2*n + (3*B^3*b^2*c*d + 4*B^3*a*b*d^2)*n^3 + 2*(A*B^2*b^2*c*d + 2*A*B^2*a*b*d^2)*n^2)*x + 2*((B^3*b^2*c^2 - 4*B^3*a*b*c*d)*n^3 + 2*(A*B^2*b^2*c^2 - 2*A*B^2*a*b*c*d)*n^2 - (3*B^3*b^2*d^2*n^3 + 2*A*B^2*b^2*d^2*n^2)*x^2 - 2*(2*A*B^2*a*b*d^2*n^2 + (B^3*b^2*c*d + 2*B^3*a*b*d^2)*n^3)*x - 2*(B^3*b^2*d^2*n^2*x^2 + 2*B^3*a*b*d^2*n^2*x - (B^3*b^2*c^2 - 2*B^3*a*b*c*d)*n^2)*log(e))*log(b*x + a) + 2*((B^3*b^2*c^2 - 4*B^3*a*b*c*d)*n^2 - (3*B^3*b^2*d^2*n^2 + 2*A*B^2*b^2*d^2*n)*x^2 + 2*(A*B^2*b^2*c^2 - 2*A*B^2*a*b*c*d)*n - 2*(2*A*B^2*a*b*d^2*n + (B^3*b^2*c*d + 2*B^3*a*b*d^2)*n^2)*x)*log(e))*log(d*x + c) + 6*(2*A^2*B*b^2*c^2 - 4*A^2*B*a*b*c*d + 2*A^2*B*a^2*d^2 + (B^3*b^2*c^2 - 8*B^3*a*b*c*d + 7*B^3*a^2*d^2)*n^2 + 2*(A*B^2*b^2*c^2 - 4*A*B^2*a*b*c*d + 3*A*B^2*a^2*d^2)*n - 2*(3*(B^3*b^2*c*d - B^3*a*b*d^2)*n^2 + 2*(A*B^2*b^2*c*d - A*B^2*a*b*d^2)*n)*x)*log(e))/(a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2 + (b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*x)","B",0
170,1,4008,0,0.631473," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^4,x, algorithm=""fricas"")","-\frac{36 \, A^{3} b^{3} c^{3} - 108 \, A^{3} a b^{2} c^{2} d + 108 \, A^{3} a^{2} b c d^{2} - 36 \, A^{3} a^{3} d^{3} + {\left(8 \, B^{3} b^{3} c^{3} - 81 \, B^{3} a b^{2} c^{2} d + 648 \, B^{3} a^{2} b c d^{2} - 575 \, B^{3} a^{3} d^{3}\right)} n^{3} + 36 \, {\left(B^{3} b^{3} d^{3} n^{3} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{3} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{3} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{3}\right)} \log\left(b x + a\right)^{3} - 36 \, {\left(B^{3} b^{3} d^{3} n^{3} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{3} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{3} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{3}\right)} \log\left(d x + c\right)^{3} + 36 \, {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2} - B^{3} a^{3} d^{3}\right)} \log\left(e\right)^{3} + 6 \, {\left(4 \, A B^{2} b^{3} c^{3} - 27 \, A B^{2} a b^{2} c^{2} d + 108 \, A B^{2} a^{2} b c d^{2} - 85 \, A B^{2} a^{3} d^{3}\right)} n^{2} + 6 \, {\left(85 \, {\left(B^{3} b^{3} c d^{2} - B^{3} a b^{2} d^{3}\right)} n^{3} + 66 \, {\left(A B^{2} b^{3} c d^{2} - A B^{2} a b^{2} d^{3}\right)} n^{2} + 18 \, {\left(A^{2} B b^{3} c d^{2} - A^{2} B a b^{2} d^{3}\right)} n\right)} x^{2} + 18 \, {\left({\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2}\right)} n^{3} + {\left(11 \, B^{3} b^{3} d^{3} n^{3} + 6 \, A B^{2} b^{3} d^{3} n^{2}\right)} x^{3} + 6 \, {\left(A B^{2} b^{3} c^{3} - 3 \, A B^{2} a b^{2} c^{2} d + 3 \, A B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B^{2} a b^{2} d^{3} n^{2} + {\left(2 \, B^{3} b^{3} c d^{2} + 9 \, B^{3} a b^{2} d^{3}\right)} n^{3}\right)} x^{2} + 3 \, {\left(6 \, A B^{2} a^{2} b d^{3} n^{2} - {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} - 6 \, B^{3} a^{2} b d^{3}\right)} n^{3}\right)} x + 6 \, {\left(B^{3} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{2} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right)^{2} + 18 \, {\left({\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2}\right)} n^{3} + {\left(11 \, B^{3} b^{3} d^{3} n^{3} + 6 \, A B^{2} b^{3} d^{3} n^{2}\right)} x^{3} + 6 \, {\left(A B^{2} b^{3} c^{3} - 3 \, A B^{2} a b^{2} c^{2} d + 3 \, A B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B^{2} a b^{2} d^{3} n^{2} + {\left(2 \, B^{3} b^{3} c d^{2} + 9 \, B^{3} a b^{2} d^{3}\right)} n^{3}\right)} x^{2} + 3 \, {\left(6 \, A B^{2} a^{2} b d^{3} n^{2} - {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} - 6 \, B^{3} a^{2} b d^{3}\right)} n^{3}\right)} x + 6 \, {\left(B^{3} b^{3} d^{3} n^{3} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{3} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{3} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{3}\right)} \log\left(b x + a\right) + 6 \, {\left(B^{3} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{2} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 18 \, {\left(6 \, A B^{2} b^{3} c^{3} - 18 \, A B^{2} a b^{2} c^{2} d + 18 \, A B^{2} a^{2} b c d^{2} - 6 \, A B^{2} a^{3} d^{3} + 6 \, {\left(B^{3} b^{3} c d^{2} - B^{3} a b^{2} d^{3}\right)} n x^{2} - 3 \, {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} + 5 \, B^{3} a^{2} b d^{3}\right)} n x + {\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2} - 11 \, B^{3} a^{3} d^{3}\right)} n\right)} \log\left(e\right)^{2} + 18 \, {\left(2 \, A^{2} B b^{3} c^{3} - 9 \, A^{2} B a b^{2} c^{2} d + 18 \, A^{2} B a^{2} b c d^{2} - 11 \, A^{2} B a^{3} d^{3}\right)} n - 3 \, {\left({\left(19 \, B^{3} b^{3} c^{2} d - 378 \, B^{3} a b^{2} c d^{2} + 359 \, B^{3} a^{2} b d^{3}\right)} n^{3} + 6 \, {\left(5 \, A B^{2} b^{3} c^{2} d - 54 \, A B^{2} a b^{2} c d^{2} + 49 \, A B^{2} a^{2} b d^{3}\right)} n^{2} + 18 \, {\left(A^{2} B b^{3} c^{2} d - 6 \, A^{2} B a b^{2} c d^{2} + 5 \, A^{2} B a^{2} b d^{3}\right)} n\right)} x + 6 \, {\left({\left(4 \, B^{3} b^{3} c^{3} - 27 \, B^{3} a b^{2} c^{2} d + 108 \, B^{3} a^{2} b c d^{2}\right)} n^{3} + {\left(85 \, B^{3} b^{3} d^{3} n^{3} + 66 \, A B^{2} b^{3} d^{3} n^{2} + 18 \, A^{2} B b^{3} d^{3} n\right)} x^{3} + 6 \, {\left(2 \, A B^{2} b^{3} c^{3} - 9 \, A B^{2} a b^{2} c^{2} d + 18 \, A B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(18 \, A^{2} B a b^{2} d^{3} n + {\left(22 \, B^{3} b^{3} c d^{2} + 63 \, B^{3} a b^{2} d^{3}\right)} n^{3} + 6 \, {\left(2 \, A B^{2} b^{3} c d^{2} + 9 \, A B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 18 \, {\left(B^{3} b^{3} d^{3} n x^{3} + 3 \, B^{3} a b^{2} d^{3} n x^{2} + 3 \, B^{3} a^{2} b d^{3} n x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n\right)} \log\left(e\right)^{2} + 18 \, {\left(A^{2} B b^{3} c^{3} - 3 \, A^{2} B a b^{2} c^{2} d + 3 \, A^{2} B a^{2} b c d^{2}\right)} n + 3 \, {\left(18 \, A^{2} B a^{2} b d^{3} n - {\left(5 \, B^{3} b^{3} c^{2} d - 54 \, B^{3} a b^{2} c d^{2} - 36 \, B^{3} a^{2} b d^{3}\right)} n^{3} - 6 \, {\left(A B^{2} b^{3} c^{2} d - 6 \, A B^{2} a b^{2} c d^{2} - 6 \, A B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x + 6 \, {\left({\left(11 \, B^{3} b^{3} d^{3} n^{2} + 6 \, A B^{2} b^{3} d^{3} n\right)} x^{3} + {\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B^{2} a b^{2} d^{3} n + {\left(2 \, B^{3} b^{3} c d^{2} + 9 \, B^{3} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 6 \, {\left(A B^{2} b^{3} c^{3} - 3 \, A B^{2} a b^{2} c^{2} d + 3 \, A B^{2} a^{2} b c d^{2}\right)} n + 3 \, {\left(6 \, A B^{2} a^{2} b d^{3} n - {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} - 6 \, B^{3} a^{2} b d^{3}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(b x + a\right) - 6 \, {\left({\left(4 \, B^{3} b^{3} c^{3} - 27 \, B^{3} a b^{2} c^{2} d + 108 \, B^{3} a^{2} b c d^{2}\right)} n^{3} + {\left(85 \, B^{3} b^{3} d^{3} n^{3} + 66 \, A B^{2} b^{3} d^{3} n^{2} + 18 \, A^{2} B b^{3} d^{3} n\right)} x^{3} + 6 \, {\left(2 \, A B^{2} b^{3} c^{3} - 9 \, A B^{2} a b^{2} c^{2} d + 18 \, A B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(18 \, A^{2} B a b^{2} d^{3} n + {\left(22 \, B^{3} b^{3} c d^{2} + 63 \, B^{3} a b^{2} d^{3}\right)} n^{3} + 6 \, {\left(2 \, A B^{2} b^{3} c d^{2} + 9 \, A B^{2} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 18 \, {\left(B^{3} b^{3} d^{3} n^{3} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{3} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{3} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{3}\right)} \log\left(b x + a\right)^{2} + 18 \, {\left(B^{3} b^{3} d^{3} n x^{3} + 3 \, B^{3} a b^{2} d^{3} n x^{2} + 3 \, B^{3} a^{2} b d^{3} n x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n\right)} \log\left(e\right)^{2} + 18 \, {\left(A^{2} B b^{3} c^{3} - 3 \, A^{2} B a b^{2} c^{2} d + 3 \, A^{2} B a^{2} b c d^{2}\right)} n + 3 \, {\left(18 \, A^{2} B a^{2} b d^{3} n - {\left(5 \, B^{3} b^{3} c^{2} d - 54 \, B^{3} a b^{2} c d^{2} - 36 \, B^{3} a^{2} b d^{3}\right)} n^{3} - 6 \, {\left(A B^{2} b^{3} c^{2} d - 6 \, A B^{2} a b^{2} c d^{2} - 6 \, A B^{2} a^{2} b d^{3}\right)} n^{2}\right)} x + 6 \, {\left({\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2}\right)} n^{3} + {\left(11 \, B^{3} b^{3} d^{3} n^{3} + 6 \, A B^{2} b^{3} d^{3} n^{2}\right)} x^{3} + 6 \, {\left(A B^{2} b^{3} c^{3} - 3 \, A B^{2} a b^{2} c^{2} d + 3 \, A B^{2} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B^{2} a b^{2} d^{3} n^{2} + {\left(2 \, B^{3} b^{3} c d^{2} + 9 \, B^{3} a b^{2} d^{3}\right)} n^{3}\right)} x^{2} + 3 \, {\left(6 \, A B^{2} a^{2} b d^{3} n^{2} - {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} - 6 \, B^{3} a^{2} b d^{3}\right)} n^{3}\right)} x + 6 \, {\left(B^{3} b^{3} d^{3} n^{2} x^{3} + 3 \, B^{3} a b^{2} d^{3} n^{2} x^{2} + 3 \, B^{3} a^{2} b d^{3} n^{2} x + {\left(B^{3} b^{3} c^{3} - 3 \, B^{3} a b^{2} c^{2} d + 3 \, B^{3} a^{2} b c d^{2}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 6 \, {\left({\left(11 \, B^{3} b^{3} d^{3} n^{2} + 6 \, A B^{2} b^{3} d^{3} n\right)} x^{3} + {\left(2 \, B^{3} b^{3} c^{3} - 9 \, B^{3} a b^{2} c^{2} d + 18 \, B^{3} a^{2} b c d^{2}\right)} n^{2} + 3 \, {\left(6 \, A B^{2} a b^{2} d^{3} n + {\left(2 \, B^{3} b^{3} c d^{2} + 9 \, B^{3} a b^{2} d^{3}\right)} n^{2}\right)} x^{2} + 6 \, {\left(A B^{2} b^{3} c^{3} - 3 \, A B^{2} a b^{2} c^{2} d + 3 \, A B^{2} a^{2} b c d^{2}\right)} n + 3 \, {\left(6 \, A B^{2} a^{2} b d^{3} n - {\left(B^{3} b^{3} c^{2} d - 6 \, B^{3} a b^{2} c d^{2} - 6 \, B^{3} a^{2} b d^{3}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 6 \, {\left(18 \, A^{2} B b^{3} c^{3} - 54 \, A^{2} B a b^{2} c^{2} d + 54 \, A^{2} B a^{2} b c d^{2} - 18 \, A^{2} B a^{3} d^{3} + {\left(4 \, B^{3} b^{3} c^{3} - 27 \, B^{3} a b^{2} c^{2} d + 108 \, B^{3} a^{2} b c d^{2} - 85 \, B^{3} a^{3} d^{3}\right)} n^{2} + 6 \, {\left(11 \, {\left(B^{3} b^{3} c d^{2} - B^{3} a b^{2} d^{3}\right)} n^{2} + 6 \, {\left(A B^{2} b^{3} c d^{2} - A B^{2} a b^{2} d^{3}\right)} n\right)} x^{2} + 6 \, {\left(2 \, A B^{2} b^{3} c^{3} - 9 \, A B^{2} a b^{2} c^{2} d + 18 \, A B^{2} a^{2} b c d^{2} - 11 \, A B^{2} a^{3} d^{3}\right)} n - 3 \, {\left({\left(5 \, B^{3} b^{3} c^{2} d - 54 \, B^{3} a b^{2} c d^{2} + 49 \, B^{3} a^{2} b d^{3}\right)} n^{2} + 6 \, {\left(A B^{2} b^{3} c^{2} d - 6 \, A B^{2} a b^{2} c d^{2} + 5 \, A B^{2} a^{2} b d^{3}\right)} n\right)} x\right)} \log\left(e\right)}{108 \, {\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} + {\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^{3} + 3 \, {\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^{2} + 3 \, {\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\right)}}"," ",0,"-1/108*(36*A^3*b^3*c^3 - 108*A^3*a*b^2*c^2*d + 108*A^3*a^2*b*c*d^2 - 36*A^3*a^3*d^3 + (8*B^3*b^3*c^3 - 81*B^3*a*b^2*c^2*d + 648*B^3*a^2*b*c*d^2 - 575*B^3*a^3*d^3)*n^3 + 36*(B^3*b^3*d^3*n^3*x^3 + 3*B^3*a*b^2*d^3*n^3*x^2 + 3*B^3*a^2*b*d^3*n^3*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^3)*log(b*x + a)^3 - 36*(B^3*b^3*d^3*n^3*x^3 + 3*B^3*a*b^2*d^3*n^3*x^2 + 3*B^3*a^2*b*d^3*n^3*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^3)*log(d*x + c)^3 + 36*(B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2 - B^3*a^3*d^3)*log(e)^3 + 6*(4*A*B^2*b^3*c^3 - 27*A*B^2*a*b^2*c^2*d + 108*A*B^2*a^2*b*c*d^2 - 85*A*B^2*a^3*d^3)*n^2 + 6*(85*(B^3*b^3*c*d^2 - B^3*a*b^2*d^3)*n^3 + 66*(A*B^2*b^3*c*d^2 - A*B^2*a*b^2*d^3)*n^2 + 18*(A^2*B*b^3*c*d^2 - A^2*B*a*b^2*d^3)*n)*x^2 + 18*((2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2)*n^3 + (11*B^3*b^3*d^3*n^3 + 6*A*B^2*b^3*d^3*n^2)*x^3 + 6*(A*B^2*b^3*c^3 - 3*A*B^2*a*b^2*c^2*d + 3*A*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B^2*a*b^2*d^3*n^2 + (2*B^3*b^3*c*d^2 + 9*B^3*a*b^2*d^3)*n^3)*x^2 + 3*(6*A*B^2*a^2*b*d^3*n^2 - (B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 - 6*B^3*a^2*b*d^3)*n^3)*x + 6*(B^3*b^3*d^3*n^2*x^3 + 3*B^3*a*b^2*d^3*n^2*x^2 + 3*B^3*a^2*b*d^3*n^2*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^2)*log(e))*log(b*x + a)^2 + 18*((2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2)*n^3 + (11*B^3*b^3*d^3*n^3 + 6*A*B^2*b^3*d^3*n^2)*x^3 + 6*(A*B^2*b^3*c^3 - 3*A*B^2*a*b^2*c^2*d + 3*A*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B^2*a*b^2*d^3*n^2 + (2*B^3*b^3*c*d^2 + 9*B^3*a*b^2*d^3)*n^3)*x^2 + 3*(6*A*B^2*a^2*b*d^3*n^2 - (B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 - 6*B^3*a^2*b*d^3)*n^3)*x + 6*(B^3*b^3*d^3*n^3*x^3 + 3*B^3*a*b^2*d^3*n^3*x^2 + 3*B^3*a^2*b*d^3*n^3*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^3)*log(b*x + a) + 6*(B^3*b^3*d^3*n^2*x^3 + 3*B^3*a*b^2*d^3*n^2*x^2 + 3*B^3*a^2*b*d^3*n^2*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^2)*log(e))*log(d*x + c)^2 + 18*(6*A*B^2*b^3*c^3 - 18*A*B^2*a*b^2*c^2*d + 18*A*B^2*a^2*b*c*d^2 - 6*A*B^2*a^3*d^3 + 6*(B^3*b^3*c*d^2 - B^3*a*b^2*d^3)*n*x^2 - 3*(B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 + 5*B^3*a^2*b*d^3)*n*x + (2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2 - 11*B^3*a^3*d^3)*n)*log(e)^2 + 18*(2*A^2*B*b^3*c^3 - 9*A^2*B*a*b^2*c^2*d + 18*A^2*B*a^2*b*c*d^2 - 11*A^2*B*a^3*d^3)*n - 3*((19*B^3*b^3*c^2*d - 378*B^3*a*b^2*c*d^2 + 359*B^3*a^2*b*d^3)*n^3 + 6*(5*A*B^2*b^3*c^2*d - 54*A*B^2*a*b^2*c*d^2 + 49*A*B^2*a^2*b*d^3)*n^2 + 18*(A^2*B*b^3*c^2*d - 6*A^2*B*a*b^2*c*d^2 + 5*A^2*B*a^2*b*d^3)*n)*x + 6*((4*B^3*b^3*c^3 - 27*B^3*a*b^2*c^2*d + 108*B^3*a^2*b*c*d^2)*n^3 + (85*B^3*b^3*d^3*n^3 + 66*A*B^2*b^3*d^3*n^2 + 18*A^2*B*b^3*d^3*n)*x^3 + 6*(2*A*B^2*b^3*c^3 - 9*A*B^2*a*b^2*c^2*d + 18*A*B^2*a^2*b*c*d^2)*n^2 + 3*(18*A^2*B*a*b^2*d^3*n + (22*B^3*b^3*c*d^2 + 63*B^3*a*b^2*d^3)*n^3 + 6*(2*A*B^2*b^3*c*d^2 + 9*A*B^2*a*b^2*d^3)*n^2)*x^2 + 18*(B^3*b^3*d^3*n*x^3 + 3*B^3*a*b^2*d^3*n*x^2 + 3*B^3*a^2*b*d^3*n*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n)*log(e)^2 + 18*(A^2*B*b^3*c^3 - 3*A^2*B*a*b^2*c^2*d + 3*A^2*B*a^2*b*c*d^2)*n + 3*(18*A^2*B*a^2*b*d^3*n - (5*B^3*b^3*c^2*d - 54*B^3*a*b^2*c*d^2 - 36*B^3*a^2*b*d^3)*n^3 - 6*(A*B^2*b^3*c^2*d - 6*A*B^2*a*b^2*c*d^2 - 6*A*B^2*a^2*b*d^3)*n^2)*x + 6*((11*B^3*b^3*d^3*n^2 + 6*A*B^2*b^3*d^3*n)*x^3 + (2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2)*n^2 + 3*(6*A*B^2*a*b^2*d^3*n + (2*B^3*b^3*c*d^2 + 9*B^3*a*b^2*d^3)*n^2)*x^2 + 6*(A*B^2*b^3*c^3 - 3*A*B^2*a*b^2*c^2*d + 3*A*B^2*a^2*b*c*d^2)*n + 3*(6*A*B^2*a^2*b*d^3*n - (B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 - 6*B^3*a^2*b*d^3)*n^2)*x)*log(e))*log(b*x + a) - 6*((4*B^3*b^3*c^3 - 27*B^3*a*b^2*c^2*d + 108*B^3*a^2*b*c*d^2)*n^3 + (85*B^3*b^3*d^3*n^3 + 66*A*B^2*b^3*d^3*n^2 + 18*A^2*B*b^3*d^3*n)*x^3 + 6*(2*A*B^2*b^3*c^3 - 9*A*B^2*a*b^2*c^2*d + 18*A*B^2*a^2*b*c*d^2)*n^2 + 3*(18*A^2*B*a*b^2*d^3*n + (22*B^3*b^3*c*d^2 + 63*B^3*a*b^2*d^3)*n^3 + 6*(2*A*B^2*b^3*c*d^2 + 9*A*B^2*a*b^2*d^3)*n^2)*x^2 + 18*(B^3*b^3*d^3*n^3*x^3 + 3*B^3*a*b^2*d^3*n^3*x^2 + 3*B^3*a^2*b*d^3*n^3*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^3)*log(b*x + a)^2 + 18*(B^3*b^3*d^3*n*x^3 + 3*B^3*a*b^2*d^3*n*x^2 + 3*B^3*a^2*b*d^3*n*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n)*log(e)^2 + 18*(A^2*B*b^3*c^3 - 3*A^2*B*a*b^2*c^2*d + 3*A^2*B*a^2*b*c*d^2)*n + 3*(18*A^2*B*a^2*b*d^3*n - (5*B^3*b^3*c^2*d - 54*B^3*a*b^2*c*d^2 - 36*B^3*a^2*b*d^3)*n^3 - 6*(A*B^2*b^3*c^2*d - 6*A*B^2*a*b^2*c*d^2 - 6*A*B^2*a^2*b*d^3)*n^2)*x + 6*((2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2)*n^3 + (11*B^3*b^3*d^3*n^3 + 6*A*B^2*b^3*d^3*n^2)*x^3 + 6*(A*B^2*b^3*c^3 - 3*A*B^2*a*b^2*c^2*d + 3*A*B^2*a^2*b*c*d^2)*n^2 + 3*(6*A*B^2*a*b^2*d^3*n^2 + (2*B^3*b^3*c*d^2 + 9*B^3*a*b^2*d^3)*n^3)*x^2 + 3*(6*A*B^2*a^2*b*d^3*n^2 - (B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 - 6*B^3*a^2*b*d^3)*n^3)*x + 6*(B^3*b^3*d^3*n^2*x^3 + 3*B^3*a*b^2*d^3*n^2*x^2 + 3*B^3*a^2*b*d^3*n^2*x + (B^3*b^3*c^3 - 3*B^3*a*b^2*c^2*d + 3*B^3*a^2*b*c*d^2)*n^2)*log(e))*log(b*x + a) + 6*((11*B^3*b^3*d^3*n^2 + 6*A*B^2*b^3*d^3*n)*x^3 + (2*B^3*b^3*c^3 - 9*B^3*a*b^2*c^2*d + 18*B^3*a^2*b*c*d^2)*n^2 + 3*(6*A*B^2*a*b^2*d^3*n + (2*B^3*b^3*c*d^2 + 9*B^3*a*b^2*d^3)*n^2)*x^2 + 6*(A*B^2*b^3*c^3 - 3*A*B^2*a*b^2*c^2*d + 3*A*B^2*a^2*b*c*d^2)*n + 3*(6*A*B^2*a^2*b*d^3*n - (B^3*b^3*c^2*d - 6*B^3*a*b^2*c*d^2 - 6*B^3*a^2*b*d^3)*n^2)*x)*log(e))*log(d*x + c) + 6*(18*A^2*B*b^3*c^3 - 54*A^2*B*a*b^2*c^2*d + 54*A^2*B*a^2*b*c*d^2 - 18*A^2*B*a^3*d^3 + (4*B^3*b^3*c^3 - 27*B^3*a*b^2*c^2*d + 108*B^3*a^2*b*c*d^2 - 85*B^3*a^3*d^3)*n^2 + 6*(11*(B^3*b^3*c*d^2 - B^3*a*b^2*d^3)*n^2 + 6*(A*B^2*b^3*c*d^2 - A*B^2*a*b^2*d^3)*n)*x^2 + 6*(2*A*B^2*b^3*c^3 - 9*A*B^2*a*b^2*c^2*d + 18*A*B^2*a^2*b*c*d^2 - 11*A*B^2*a^3*d^3)*n - 3*((5*B^3*b^3*c^2*d - 54*B^3*a*b^2*c*d^2 + 49*B^3*a^2*b*d^3)*n^2 + 6*(A*B^2*b^3*c^2*d - 6*A*B^2*a*b^2*c*d^2 + 5*A*B^2*a^2*b*d^3)*n)*x)*log(e))/(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 + (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^3 + 3*(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^2 + 3*(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)","B",0
171,1,6057,0,0.741317," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)^5,x, algorithm=""fricas"")","-\frac{288 \, A^{3} b^{4} c^{4} - 1152 \, A^{3} a b^{3} c^{3} d + 1728 \, A^{3} a^{2} b^{2} c^{2} d^{2} - 1152 \, A^{3} a^{3} b c d^{3} + 288 \, A^{3} a^{4} d^{4} + {\left(27 \, B^{3} b^{4} c^{4} - 256 \, B^{3} a b^{3} c^{3} d + 1296 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 6912 \, B^{3} a^{3} b c d^{3} + 5845 \, B^{3} a^{4} d^{4}\right)} n^{3} - 12 \, {\left(415 \, {\left(B^{3} b^{4} c d^{3} - B^{3} a b^{3} d^{4}\right)} n^{3} + 300 \, {\left(A B^{2} b^{4} c d^{3} - A B^{2} a b^{3} d^{4}\right)} n^{2} + 72 \, {\left(A^{2} B b^{4} c d^{3} - A^{2} B a b^{3} d^{4}\right)} n\right)} x^{3} - 288 \, {\left(B^{3} b^{4} d^{4} n^{3} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{3} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{3} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{3} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{3}\right)} \log\left(b x + a\right)^{3} + 288 \, {\left(B^{3} b^{4} d^{4} n^{3} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{3} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{3} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{3} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{3}\right)} \log\left(d x + c\right)^{3} + 288 \, {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3} + B^{3} a^{4} d^{4}\right)} \log\left(e\right)^{3} + 12 \, {\left(9 \, A B^{2} b^{4} c^{4} - 64 \, A B^{2} a b^{3} c^{3} d + 216 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 576 \, A B^{2} a^{3} b c d^{3} + 415 \, A B^{2} a^{4} d^{4}\right)} n^{2} + 6 \, {\left(5 \, {\left(23 \, B^{3} b^{4} c^{2} d^{2} - 544 \, B^{3} a b^{3} c d^{3} + 521 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3} + 12 \, {\left(13 \, A B^{2} b^{4} c^{2} d^{2} - 176 \, A B^{2} a b^{3} c d^{3} + 163 \, A B^{2} a^{2} b^{2} d^{4}\right)} n^{2} + 72 \, {\left(A^{2} B b^{4} c^{2} d^{2} - 8 \, A^{2} B a b^{3} c d^{3} + 7 \, A^{2} B a^{2} b^{2} d^{4}\right)} n\right)} x^{2} - 72 \, {\left({\left(25 \, B^{3} b^{4} d^{4} n^{3} + 12 \, A B^{2} b^{4} d^{4} n^{2}\right)} x^{4} - {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3}\right)} n^{3} + 4 \, {\left(12 \, A B^{2} a b^{3} d^{4} n^{2} + {\left(3 \, B^{3} b^{4} c d^{3} + 22 \, B^{3} a b^{3} d^{4}\right)} n^{3}\right)} x^{3} - 12 \, {\left(A B^{2} b^{4} c^{4} - 4 \, A B^{2} a b^{3} c^{3} d + 6 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, A B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B^{2} a^{2} b^{2} d^{4} n^{2} - {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} - 18 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3}\right)} x^{2} + 4 \, {\left(12 \, A B^{2} a^{3} b d^{4} n^{2} + {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} + 12 \, B^{3} a^{3} b d^{4}\right)} n^{3}\right)} x + 12 \, {\left(B^{3} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{2} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right)^{2} - 72 \, {\left({\left(25 \, B^{3} b^{4} d^{4} n^{3} + 12 \, A B^{2} b^{4} d^{4} n^{2}\right)} x^{4} - {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3}\right)} n^{3} + 4 \, {\left(12 \, A B^{2} a b^{3} d^{4} n^{2} + {\left(3 \, B^{3} b^{4} c d^{3} + 22 \, B^{3} a b^{3} d^{4}\right)} n^{3}\right)} x^{3} - 12 \, {\left(A B^{2} b^{4} c^{4} - 4 \, A B^{2} a b^{3} c^{3} d + 6 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, A B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B^{2} a^{2} b^{2} d^{4} n^{2} - {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} - 18 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3}\right)} x^{2} + 4 \, {\left(12 \, A B^{2} a^{3} b d^{4} n^{2} + {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} + 12 \, B^{3} a^{3} b d^{4}\right)} n^{3}\right)} x + 12 \, {\left(B^{3} b^{4} d^{4} n^{3} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{3} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{3} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{3} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{3}\right)} \log\left(b x + a\right) + 12 \, {\left(B^{3} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{2} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(d x + c\right)^{2} + 72 \, {\left(12 \, A B^{2} b^{4} c^{4} - 48 \, A B^{2} a b^{3} c^{3} d + 72 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, A B^{2} a^{3} b c d^{3} + 12 \, A B^{2} a^{4} d^{4} - 12 \, {\left(B^{3} b^{4} c d^{3} - B^{3} a b^{3} d^{4}\right)} n x^{3} + 6 \, {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} + 7 \, B^{3} a^{2} b^{2} d^{4}\right)} n x^{2} - 4 \, {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} - 13 \, B^{3} a^{3} b d^{4}\right)} n x + {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3} + 25 \, B^{3} a^{4} d^{4}\right)} n\right)} \log\left(e\right)^{2} + 72 \, {\left(3 \, A^{2} B b^{4} c^{4} - 16 \, A^{2} B a b^{3} c^{3} d + 36 \, A^{2} B a^{2} b^{2} c^{2} d^{2} - 48 \, A^{2} B a^{3} b c d^{3} + 25 \, A^{2} B a^{4} d^{4}\right)} n - 4 \, {\left({\left(37 \, B^{3} b^{4} c^{3} d - 456 \, B^{3} a b^{3} c^{2} d^{2} + 4536 \, B^{3} a^{2} b^{2} c d^{3} - 4117 \, B^{3} a^{3} b d^{4}\right)} n^{3} + 12 \, {\left(7 \, A B^{2} b^{4} c^{3} d - 60 \, A B^{2} a b^{3} c^{2} d^{2} + 324 \, A B^{2} a^{2} b^{2} c d^{3} - 271 \, A B^{2} a^{3} b d^{4}\right)} n^{2} + 72 \, {\left(A^{2} B b^{4} c^{3} d - 6 \, A^{2} B a b^{3} c^{2} d^{2} + 18 \, A^{2} B a^{2} b^{2} c d^{3} - 13 \, A^{2} B a^{3} b d^{4}\right)} n\right)} x - 12 \, {\left({\left(415 \, B^{3} b^{4} d^{4} n^{3} + 300 \, A B^{2} b^{4} d^{4} n^{2} + 72 \, A^{2} B b^{4} d^{4} n\right)} x^{4} - {\left(9 \, B^{3} b^{4} c^{4} - 64 \, B^{3} a b^{3} c^{3} d + 216 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 576 \, B^{3} a^{3} b c d^{3}\right)} n^{3} + 4 \, {\left(72 \, A^{2} B a b^{3} d^{4} n + 5 \, {\left(15 \, B^{3} b^{4} c d^{3} + 68 \, B^{3} a b^{3} d^{4}\right)} n^{3} + 12 \, {\left(3 \, A B^{2} b^{4} c d^{3} + 22 \, A B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - 12 \, {\left(3 \, A B^{2} b^{4} c^{4} - 16 \, A B^{2} a b^{3} c^{3} d + 36 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, A B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(72 \, A^{2} B a^{2} b^{2} d^{4} n - {\left(13 \, B^{3} b^{4} c^{2} d^{2} - 176 \, B^{3} a b^{3} c d^{3} - 252 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3} - 12 \, {\left(A B^{2} b^{4} c^{2} d^{2} - 8 \, A B^{2} a b^{3} c d^{3} - 18 \, A B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} + 72 \, {\left(B^{3} b^{4} d^{4} n x^{4} + 4 \, B^{3} a b^{3} d^{4} n x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n x^{2} + 4 \, B^{3} a^{3} b d^{4} n x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n\right)} \log\left(e\right)^{2} - 72 \, {\left(A^{2} B b^{4} c^{4} - 4 \, A^{2} B a b^{3} c^{3} d + 6 \, A^{2} B a^{2} b^{2} c^{2} d^{2} - 4 \, A^{2} B a^{3} b c d^{3}\right)} n + 4 \, {\left(72 \, A^{2} B a^{3} b d^{4} n + {\left(7 \, B^{3} b^{4} c^{3} d - 60 \, B^{3} a b^{3} c^{2} d^{2} + 324 \, B^{3} a^{2} b^{2} c d^{3} + 144 \, B^{3} a^{3} b d^{4}\right)} n^{3} + 12 \, {\left(A B^{2} b^{4} c^{3} d - 6 \, A B^{2} a b^{3} c^{2} d^{2} + 18 \, A B^{2} a^{2} b^{2} c d^{3} + 12 \, A B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x + 12 \, {\left({\left(25 \, B^{3} b^{4} d^{4} n^{2} + 12 \, A B^{2} b^{4} d^{4} n\right)} x^{4} + 4 \, {\left(12 \, A B^{2} a b^{3} d^{4} n + {\left(3 \, B^{3} b^{4} c d^{3} + 22 \, B^{3} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B^{2} a^{2} b^{2} d^{4} n - {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} - 18 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(A B^{2} b^{4} c^{4} - 4 \, A B^{2} a b^{3} c^{3} d + 6 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, A B^{2} a^{3} b c d^{3}\right)} n + 4 \, {\left(12 \, A B^{2} a^{3} b d^{4} n + {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} + 12 \, B^{3} a^{3} b d^{4}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 12 \, {\left({\left(415 \, B^{3} b^{4} d^{4} n^{3} + 300 \, A B^{2} b^{4} d^{4} n^{2} + 72 \, A^{2} B b^{4} d^{4} n\right)} x^{4} - {\left(9 \, B^{3} b^{4} c^{4} - 64 \, B^{3} a b^{3} c^{3} d + 216 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 576 \, B^{3} a^{3} b c d^{3}\right)} n^{3} + 4 \, {\left(72 \, A^{2} B a b^{3} d^{4} n + 5 \, {\left(15 \, B^{3} b^{4} c d^{3} + 68 \, B^{3} a b^{3} d^{4}\right)} n^{3} + 12 \, {\left(3 \, A B^{2} b^{4} c d^{3} + 22 \, A B^{2} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - 12 \, {\left(3 \, A B^{2} b^{4} c^{4} - 16 \, A B^{2} a b^{3} c^{3} d + 36 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, A B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(72 \, A^{2} B a^{2} b^{2} d^{4} n - {\left(13 \, B^{3} b^{4} c^{2} d^{2} - 176 \, B^{3} a b^{3} c d^{3} - 252 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3} - 12 \, {\left(A B^{2} b^{4} c^{2} d^{2} - 8 \, A B^{2} a b^{3} c d^{3} - 18 \, A B^{2} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} + 72 \, {\left(B^{3} b^{4} d^{4} n^{3} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{3} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{3} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{3} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{3}\right)} \log\left(b x + a\right)^{2} + 72 \, {\left(B^{3} b^{4} d^{4} n x^{4} + 4 \, B^{3} a b^{3} d^{4} n x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n x^{2} + 4 \, B^{3} a^{3} b d^{4} n x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n\right)} \log\left(e\right)^{2} - 72 \, {\left(A^{2} B b^{4} c^{4} - 4 \, A^{2} B a b^{3} c^{3} d + 6 \, A^{2} B a^{2} b^{2} c^{2} d^{2} - 4 \, A^{2} B a^{3} b c d^{3}\right)} n + 4 \, {\left(72 \, A^{2} B a^{3} b d^{4} n + {\left(7 \, B^{3} b^{4} c^{3} d - 60 \, B^{3} a b^{3} c^{2} d^{2} + 324 \, B^{3} a^{2} b^{2} c d^{3} + 144 \, B^{3} a^{3} b d^{4}\right)} n^{3} + 12 \, {\left(A B^{2} b^{4} c^{3} d - 6 \, A B^{2} a b^{3} c^{2} d^{2} + 18 \, A B^{2} a^{2} b^{2} c d^{3} + 12 \, A B^{2} a^{3} b d^{4}\right)} n^{2}\right)} x + 12 \, {\left({\left(25 \, B^{3} b^{4} d^{4} n^{3} + 12 \, A B^{2} b^{4} d^{4} n^{2}\right)} x^{4} - {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3}\right)} n^{3} + 4 \, {\left(12 \, A B^{2} a b^{3} d^{4} n^{2} + {\left(3 \, B^{3} b^{4} c d^{3} + 22 \, B^{3} a b^{3} d^{4}\right)} n^{3}\right)} x^{3} - 12 \, {\left(A B^{2} b^{4} c^{4} - 4 \, A B^{2} a b^{3} c^{3} d + 6 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, A B^{2} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B^{2} a^{2} b^{2} d^{4} n^{2} - {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} - 18 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{3}\right)} x^{2} + 4 \, {\left(12 \, A B^{2} a^{3} b d^{4} n^{2} + {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} + 12 \, B^{3} a^{3} b d^{4}\right)} n^{3}\right)} x + 12 \, {\left(B^{3} b^{4} d^{4} n^{2} x^{4} + 4 \, B^{3} a b^{3} d^{4} n^{2} x^{3} + 6 \, B^{3} a^{2} b^{2} d^{4} n^{2} x^{2} + 4 \, B^{3} a^{3} b d^{4} n^{2} x - {\left(B^{3} b^{4} c^{4} - 4 \, B^{3} a b^{3} c^{3} d + 6 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 4 \, B^{3} a^{3} b c d^{3}\right)} n^{2}\right)} \log\left(e\right)\right)} \log\left(b x + a\right) + 12 \, {\left({\left(25 \, B^{3} b^{4} d^{4} n^{2} + 12 \, A B^{2} b^{4} d^{4} n\right)} x^{4} + 4 \, {\left(12 \, A B^{2} a b^{3} d^{4} n + {\left(3 \, B^{3} b^{4} c d^{3} + 22 \, B^{3} a b^{3} d^{4}\right)} n^{2}\right)} x^{3} - {\left(3 \, B^{3} b^{4} c^{4} - 16 \, B^{3} a b^{3} c^{3} d + 36 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 48 \, B^{3} a^{3} b c d^{3}\right)} n^{2} + 6 \, {\left(12 \, A B^{2} a^{2} b^{2} d^{4} n - {\left(B^{3} b^{4} c^{2} d^{2} - 8 \, B^{3} a b^{3} c d^{3} - 18 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{2}\right)} x^{2} - 12 \, {\left(A B^{2} b^{4} c^{4} - 4 \, A B^{2} a b^{3} c^{3} d + 6 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 4 \, A B^{2} a^{3} b c d^{3}\right)} n + 4 \, {\left(12 \, A B^{2} a^{3} b d^{4} n + {\left(B^{3} b^{4} c^{3} d - 6 \, B^{3} a b^{3} c^{2} d^{2} + 18 \, B^{3} a^{2} b^{2} c d^{3} + 12 \, B^{3} a^{3} b d^{4}\right)} n^{2}\right)} x\right)} \log\left(e\right)\right)} \log\left(d x + c\right) + 12 \, {\left(72 \, A^{2} B b^{4} c^{4} - 288 \, A^{2} B a b^{3} c^{3} d + 432 \, A^{2} B a^{2} b^{2} c^{2} d^{2} - 288 \, A^{2} B a^{3} b c d^{3} + 72 \, A^{2} B a^{4} d^{4} - 12 \, {\left(25 \, {\left(B^{3} b^{4} c d^{3} - B^{3} a b^{3} d^{4}\right)} n^{2} + 12 \, {\left(A B^{2} b^{4} c d^{3} - A B^{2} a b^{3} d^{4}\right)} n\right)} x^{3} + {\left(9 \, B^{3} b^{4} c^{4} - 64 \, B^{3} a b^{3} c^{3} d + 216 \, B^{3} a^{2} b^{2} c^{2} d^{2} - 576 \, B^{3} a^{3} b c d^{3} + 415 \, B^{3} a^{4} d^{4}\right)} n^{2} + 6 \, {\left({\left(13 \, B^{3} b^{4} c^{2} d^{2} - 176 \, B^{3} a b^{3} c d^{3} + 163 \, B^{3} a^{2} b^{2} d^{4}\right)} n^{2} + 12 \, {\left(A B^{2} b^{4} c^{2} d^{2} - 8 \, A B^{2} a b^{3} c d^{3} + 7 \, A B^{2} a^{2} b^{2} d^{4}\right)} n\right)} x^{2} + 12 \, {\left(3 \, A B^{2} b^{4} c^{4} - 16 \, A B^{2} a b^{3} c^{3} d + 36 \, A B^{2} a^{2} b^{2} c^{2} d^{2} - 48 \, A B^{2} a^{3} b c d^{3} + 25 \, A B^{2} a^{4} d^{4}\right)} n - 4 \, {\left({\left(7 \, B^{3} b^{4} c^{3} d - 60 \, B^{3} a b^{3} c^{2} d^{2} + 324 \, B^{3} a^{2} b^{2} c d^{3} - 271 \, B^{3} a^{3} b d^{4}\right)} n^{2} + 12 \, {\left(A B^{2} b^{4} c^{3} d - 6 \, A B^{2} a b^{3} c^{2} d^{2} + 18 \, A B^{2} a^{2} b^{2} c d^{3} - 13 \, A B^{2} a^{3} b d^{4}\right)} n\right)} x\right)} \log\left(e\right)}{1152 \, {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4} + {\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} x\right)}}"," ",0,"-1/1152*(288*A^3*b^4*c^4 - 1152*A^3*a*b^3*c^3*d + 1728*A^3*a^2*b^2*c^2*d^2 - 1152*A^3*a^3*b*c*d^3 + 288*A^3*a^4*d^4 + (27*B^3*b^4*c^4 - 256*B^3*a*b^3*c^3*d + 1296*B^3*a^2*b^2*c^2*d^2 - 6912*B^3*a^3*b*c*d^3 + 5845*B^3*a^4*d^4)*n^3 - 12*(415*(B^3*b^4*c*d^3 - B^3*a*b^3*d^4)*n^3 + 300*(A*B^2*b^4*c*d^3 - A*B^2*a*b^3*d^4)*n^2 + 72*(A^2*B*b^4*c*d^3 - A^2*B*a*b^3*d^4)*n)*x^3 - 288*(B^3*b^4*d^4*n^3*x^4 + 4*B^3*a*b^3*d^4*n^3*x^3 + 6*B^3*a^2*b^2*d^4*n^3*x^2 + 4*B^3*a^3*b*d^4*n^3*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^3)*log(b*x + a)^3 + 288*(B^3*b^4*d^4*n^3*x^4 + 4*B^3*a*b^3*d^4*n^3*x^3 + 6*B^3*a^2*b^2*d^4*n^3*x^2 + 4*B^3*a^3*b*d^4*n^3*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^3)*log(d*x + c)^3 + 288*(B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3 + B^3*a^4*d^4)*log(e)^3 + 12*(9*A*B^2*b^4*c^4 - 64*A*B^2*a*b^3*c^3*d + 216*A*B^2*a^2*b^2*c^2*d^2 - 576*A*B^2*a^3*b*c*d^3 + 415*A*B^2*a^4*d^4)*n^2 + 6*(5*(23*B^3*b^4*c^2*d^2 - 544*B^3*a*b^3*c*d^3 + 521*B^3*a^2*b^2*d^4)*n^3 + 12*(13*A*B^2*b^4*c^2*d^2 - 176*A*B^2*a*b^3*c*d^3 + 163*A*B^2*a^2*b^2*d^4)*n^2 + 72*(A^2*B*b^4*c^2*d^2 - 8*A^2*B*a*b^3*c*d^3 + 7*A^2*B*a^2*b^2*d^4)*n)*x^2 - 72*((25*B^3*b^4*d^4*n^3 + 12*A*B^2*b^4*d^4*n^2)*x^4 - (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3)*n^3 + 4*(12*A*B^2*a*b^3*d^4*n^2 + (3*B^3*b^4*c*d^3 + 22*B^3*a*b^3*d^4)*n^3)*x^3 - 12*(A*B^2*b^4*c^4 - 4*A*B^2*a*b^3*c^3*d + 6*A*B^2*a^2*b^2*c^2*d^2 - 4*A*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B^2*a^2*b^2*d^4*n^2 - (B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 - 18*B^3*a^2*b^2*d^4)*n^3)*x^2 + 4*(12*A*B^2*a^3*b*d^4*n^2 + (B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 + 12*B^3*a^3*b*d^4)*n^3)*x + 12*(B^3*b^4*d^4*n^2*x^4 + 4*B^3*a*b^3*d^4*n^2*x^3 + 6*B^3*a^2*b^2*d^4*n^2*x^2 + 4*B^3*a^3*b*d^4*n^2*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^2)*log(e))*log(b*x + a)^2 - 72*((25*B^3*b^4*d^4*n^3 + 12*A*B^2*b^4*d^4*n^2)*x^4 - (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3)*n^3 + 4*(12*A*B^2*a*b^3*d^4*n^2 + (3*B^3*b^4*c*d^3 + 22*B^3*a*b^3*d^4)*n^3)*x^3 - 12*(A*B^2*b^4*c^4 - 4*A*B^2*a*b^3*c^3*d + 6*A*B^2*a^2*b^2*c^2*d^2 - 4*A*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B^2*a^2*b^2*d^4*n^2 - (B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 - 18*B^3*a^2*b^2*d^4)*n^3)*x^2 + 4*(12*A*B^2*a^3*b*d^4*n^2 + (B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 + 12*B^3*a^3*b*d^4)*n^3)*x + 12*(B^3*b^4*d^4*n^3*x^4 + 4*B^3*a*b^3*d^4*n^3*x^3 + 6*B^3*a^2*b^2*d^4*n^3*x^2 + 4*B^3*a^3*b*d^4*n^3*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^3)*log(b*x + a) + 12*(B^3*b^4*d^4*n^2*x^4 + 4*B^3*a*b^3*d^4*n^2*x^3 + 6*B^3*a^2*b^2*d^4*n^2*x^2 + 4*B^3*a^3*b*d^4*n^2*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^2)*log(e))*log(d*x + c)^2 + 72*(12*A*B^2*b^4*c^4 - 48*A*B^2*a*b^3*c^3*d + 72*A*B^2*a^2*b^2*c^2*d^2 - 48*A*B^2*a^3*b*c*d^3 + 12*A*B^2*a^4*d^4 - 12*(B^3*b^4*c*d^3 - B^3*a*b^3*d^4)*n*x^3 + 6*(B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 + 7*B^3*a^2*b^2*d^4)*n*x^2 - 4*(B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 - 13*B^3*a^3*b*d^4)*n*x + (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3 + 25*B^3*a^4*d^4)*n)*log(e)^2 + 72*(3*A^2*B*b^4*c^4 - 16*A^2*B*a*b^3*c^3*d + 36*A^2*B*a^2*b^2*c^2*d^2 - 48*A^2*B*a^3*b*c*d^3 + 25*A^2*B*a^4*d^4)*n - 4*((37*B^3*b^4*c^3*d - 456*B^3*a*b^3*c^2*d^2 + 4536*B^3*a^2*b^2*c*d^3 - 4117*B^3*a^3*b*d^4)*n^3 + 12*(7*A*B^2*b^4*c^3*d - 60*A*B^2*a*b^3*c^2*d^2 + 324*A*B^2*a^2*b^2*c*d^3 - 271*A*B^2*a^3*b*d^4)*n^2 + 72*(A^2*B*b^4*c^3*d - 6*A^2*B*a*b^3*c^2*d^2 + 18*A^2*B*a^2*b^2*c*d^3 - 13*A^2*B*a^3*b*d^4)*n)*x - 12*((415*B^3*b^4*d^4*n^3 + 300*A*B^2*b^4*d^4*n^2 + 72*A^2*B*b^4*d^4*n)*x^4 - (9*B^3*b^4*c^4 - 64*B^3*a*b^3*c^3*d + 216*B^3*a^2*b^2*c^2*d^2 - 576*B^3*a^3*b*c*d^3)*n^3 + 4*(72*A^2*B*a*b^3*d^4*n + 5*(15*B^3*b^4*c*d^3 + 68*B^3*a*b^3*d^4)*n^3 + 12*(3*A*B^2*b^4*c*d^3 + 22*A*B^2*a*b^3*d^4)*n^2)*x^3 - 12*(3*A*B^2*b^4*c^4 - 16*A*B^2*a*b^3*c^3*d + 36*A*B^2*a^2*b^2*c^2*d^2 - 48*A*B^2*a^3*b*c*d^3)*n^2 + 6*(72*A^2*B*a^2*b^2*d^4*n - (13*B^3*b^4*c^2*d^2 - 176*B^3*a*b^3*c*d^3 - 252*B^3*a^2*b^2*d^4)*n^3 - 12*(A*B^2*b^4*c^2*d^2 - 8*A*B^2*a*b^3*c*d^3 - 18*A*B^2*a^2*b^2*d^4)*n^2)*x^2 + 72*(B^3*b^4*d^4*n*x^4 + 4*B^3*a*b^3*d^4*n*x^3 + 6*B^3*a^2*b^2*d^4*n*x^2 + 4*B^3*a^3*b*d^4*n*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n)*log(e)^2 - 72*(A^2*B*b^4*c^4 - 4*A^2*B*a*b^3*c^3*d + 6*A^2*B*a^2*b^2*c^2*d^2 - 4*A^2*B*a^3*b*c*d^3)*n + 4*(72*A^2*B*a^3*b*d^4*n + (7*B^3*b^4*c^3*d - 60*B^3*a*b^3*c^2*d^2 + 324*B^3*a^2*b^2*c*d^3 + 144*B^3*a^3*b*d^4)*n^3 + 12*(A*B^2*b^4*c^3*d - 6*A*B^2*a*b^3*c^2*d^2 + 18*A*B^2*a^2*b^2*c*d^3 + 12*A*B^2*a^3*b*d^4)*n^2)*x + 12*((25*B^3*b^4*d^4*n^2 + 12*A*B^2*b^4*d^4*n)*x^4 + 4*(12*A*B^2*a*b^3*d^4*n + (3*B^3*b^4*c*d^3 + 22*B^3*a*b^3*d^4)*n^2)*x^3 - (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3)*n^2 + 6*(12*A*B^2*a^2*b^2*d^4*n - (B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 - 18*B^3*a^2*b^2*d^4)*n^2)*x^2 - 12*(A*B^2*b^4*c^4 - 4*A*B^2*a*b^3*c^3*d + 6*A*B^2*a^2*b^2*c^2*d^2 - 4*A*B^2*a^3*b*c*d^3)*n + 4*(12*A*B^2*a^3*b*d^4*n + (B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 + 12*B^3*a^3*b*d^4)*n^2)*x)*log(e))*log(b*x + a) + 12*((415*B^3*b^4*d^4*n^3 + 300*A*B^2*b^4*d^4*n^2 + 72*A^2*B*b^4*d^4*n)*x^4 - (9*B^3*b^4*c^4 - 64*B^3*a*b^3*c^3*d + 216*B^3*a^2*b^2*c^2*d^2 - 576*B^3*a^3*b*c*d^3)*n^3 + 4*(72*A^2*B*a*b^3*d^4*n + 5*(15*B^3*b^4*c*d^3 + 68*B^3*a*b^3*d^4)*n^3 + 12*(3*A*B^2*b^4*c*d^3 + 22*A*B^2*a*b^3*d^4)*n^2)*x^3 - 12*(3*A*B^2*b^4*c^4 - 16*A*B^2*a*b^3*c^3*d + 36*A*B^2*a^2*b^2*c^2*d^2 - 48*A*B^2*a^3*b*c*d^3)*n^2 + 6*(72*A^2*B*a^2*b^2*d^4*n - (13*B^3*b^4*c^2*d^2 - 176*B^3*a*b^3*c*d^3 - 252*B^3*a^2*b^2*d^4)*n^3 - 12*(A*B^2*b^4*c^2*d^2 - 8*A*B^2*a*b^3*c*d^3 - 18*A*B^2*a^2*b^2*d^4)*n^2)*x^2 + 72*(B^3*b^4*d^4*n^3*x^4 + 4*B^3*a*b^3*d^4*n^3*x^3 + 6*B^3*a^2*b^2*d^4*n^3*x^2 + 4*B^3*a^3*b*d^4*n^3*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^3)*log(b*x + a)^2 + 72*(B^3*b^4*d^4*n*x^4 + 4*B^3*a*b^3*d^4*n*x^3 + 6*B^3*a^2*b^2*d^4*n*x^2 + 4*B^3*a^3*b*d^4*n*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n)*log(e)^2 - 72*(A^2*B*b^4*c^4 - 4*A^2*B*a*b^3*c^3*d + 6*A^2*B*a^2*b^2*c^2*d^2 - 4*A^2*B*a^3*b*c*d^3)*n + 4*(72*A^2*B*a^3*b*d^4*n + (7*B^3*b^4*c^3*d - 60*B^3*a*b^3*c^2*d^2 + 324*B^3*a^2*b^2*c*d^3 + 144*B^3*a^3*b*d^4)*n^3 + 12*(A*B^2*b^4*c^3*d - 6*A*B^2*a*b^3*c^2*d^2 + 18*A*B^2*a^2*b^2*c*d^3 + 12*A*B^2*a^3*b*d^4)*n^2)*x + 12*((25*B^3*b^4*d^4*n^3 + 12*A*B^2*b^4*d^4*n^2)*x^4 - (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3)*n^3 + 4*(12*A*B^2*a*b^3*d^4*n^2 + (3*B^3*b^4*c*d^3 + 22*B^3*a*b^3*d^4)*n^3)*x^3 - 12*(A*B^2*b^4*c^4 - 4*A*B^2*a*b^3*c^3*d + 6*A*B^2*a^2*b^2*c^2*d^2 - 4*A*B^2*a^3*b*c*d^3)*n^2 + 6*(12*A*B^2*a^2*b^2*d^4*n^2 - (B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 - 18*B^3*a^2*b^2*d^4)*n^3)*x^2 + 4*(12*A*B^2*a^3*b*d^4*n^2 + (B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 + 12*B^3*a^3*b*d^4)*n^3)*x + 12*(B^3*b^4*d^4*n^2*x^4 + 4*B^3*a*b^3*d^4*n^2*x^3 + 6*B^3*a^2*b^2*d^4*n^2*x^2 + 4*B^3*a^3*b*d^4*n^2*x - (B^3*b^4*c^4 - 4*B^3*a*b^3*c^3*d + 6*B^3*a^2*b^2*c^2*d^2 - 4*B^3*a^3*b*c*d^3)*n^2)*log(e))*log(b*x + a) + 12*((25*B^3*b^4*d^4*n^2 + 12*A*B^2*b^4*d^4*n)*x^4 + 4*(12*A*B^2*a*b^3*d^4*n + (3*B^3*b^4*c*d^3 + 22*B^3*a*b^3*d^4)*n^2)*x^3 - (3*B^3*b^4*c^4 - 16*B^3*a*b^3*c^3*d + 36*B^3*a^2*b^2*c^2*d^2 - 48*B^3*a^3*b*c*d^3)*n^2 + 6*(12*A*B^2*a^2*b^2*d^4*n - (B^3*b^4*c^2*d^2 - 8*B^3*a*b^3*c*d^3 - 18*B^3*a^2*b^2*d^4)*n^2)*x^2 - 12*(A*B^2*b^4*c^4 - 4*A*B^2*a*b^3*c^3*d + 6*A*B^2*a^2*b^2*c^2*d^2 - 4*A*B^2*a^3*b*c*d^3)*n + 4*(12*A*B^2*a^3*b*d^4*n + (B^3*b^4*c^3*d - 6*B^3*a*b^3*c^2*d^2 + 18*B^3*a^2*b^2*c*d^3 + 12*B^3*a^3*b*d^4)*n^2)*x)*log(e))*log(d*x + c) + 12*(72*A^2*B*b^4*c^4 - 288*A^2*B*a*b^3*c^3*d + 432*A^2*B*a^2*b^2*c^2*d^2 - 288*A^2*B*a^3*b*c*d^3 + 72*A^2*B*a^4*d^4 - 12*(25*(B^3*b^4*c*d^3 - B^3*a*b^3*d^4)*n^2 + 12*(A*B^2*b^4*c*d^3 - A*B^2*a*b^3*d^4)*n)*x^3 + (9*B^3*b^4*c^4 - 64*B^3*a*b^3*c^3*d + 216*B^3*a^2*b^2*c^2*d^2 - 576*B^3*a^3*b*c*d^3 + 415*B^3*a^4*d^4)*n^2 + 6*((13*B^3*b^4*c^2*d^2 - 176*B^3*a*b^3*c*d^3 + 163*B^3*a^2*b^2*d^4)*n^2 + 12*(A*B^2*b^4*c^2*d^2 - 8*A*B^2*a*b^3*c*d^3 + 7*A*B^2*a^2*b^2*d^4)*n)*x^2 + 12*(3*A*B^2*b^4*c^4 - 16*A*B^2*a*b^3*c^3*d + 36*A*B^2*a^2*b^2*c^2*d^2 - 48*A*B^2*a^3*b*c*d^3 + 25*A*B^2*a^4*d^4)*n - 4*((7*B^3*b^4*c^3*d - 60*B^3*a*b^3*c^2*d^2 + 324*B^3*a^2*b^2*c*d^3 - 271*B^3*a^3*b*d^4)*n^2 + 12*(A*B^2*b^4*c^3*d - 6*A*B^2*a*b^3*c^2*d^2 + 18*A*B^2*a^2*b^2*c*d^3 - 13*A*B^2*a^3*b*d^4)*n)*x)*log(e))/(a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4 + (b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*x)","B",0
172,1,62,0,0.420654," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right)}{{\left(B b c - B a d\right)} g^{2} n}"," ",0,"e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a))/((B*b*c - B*a*d)*g^2*n)","A",0
173,1,433,0,0.509167," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} - 12 \, B a^{5} d^{5} g^{4} \log\left(b x + a\right) + 3 \, {\left(B b^{5} c d^{4} + {\left(20 \, A - B\right)} a b^{4} d^{5}\right)} g^{4} x^{4} - 4 \, {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} - 2 \, {\left(15 \, A - 2 \, B\right)} a^{2} b^{3} d^{5}\right)} g^{4} x^{3} + 6 \, {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} + 2 \, {\left(10 \, A - 3 \, B\right)} a^{3} b^{2} d^{5}\right)} g^{4} x^{2} - 12 \, {\left(B b^{5} c^{4} d - 5 \, B a b^{4} c^{3} d^{2} + 10 \, B a^{2} b^{3} c^{2} d^{3} - 10 \, B a^{3} b^{2} c d^{4} - {\left(5 \, A - 4 \, B\right)} a^{4} b d^{5}\right)} g^{4} x + 12 \, {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} g^{4} \log\left(d x + c\right) + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B a b^{4} d^{5} g^{4} x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} x^{2} + 5 \, B a^{4} b d^{5} g^{4} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{60 \, b d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 - 12*B*a^5*d^5*g^4*log(b*x + a) + 3*(B*b^5*c*d^4 + (20*A - B)*a*b^4*d^5)*g^4*x^4 - 4*(B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 - 2*(15*A - 2*B)*a^2*b^3*d^5)*g^4*x^3 + 6*(B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 + 2*(10*A - 3*B)*a^3*b^2*d^5)*g^4*x^2 - 12*(B*b^5*c^4*d - 5*B*a*b^4*c^3*d^2 + 10*B*a^2*b^3*c^2*d^3 - 10*B*a^3*b^2*c*d^4 - (5*A - 4*B)*a^4*b*d^5)*g^4*x + 12*(B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*g^4*log(d*x + c) + 12*(B*b^5*d^5*g^4*x^5 + 5*B*a*b^4*d^5*g^4*x^4 + 10*B*a^2*b^3*d^5*g^4*x^3 + 10*B*a^3*b^2*d^5*g^4*x^2 + 5*B*a^4*b*d^5*g^4*x)*log((d*e*x + c*e)/(b*x + a)))/(b*d^5)","B",0
174,1,320,0,0.461782," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} - 6 \, B a^{4} d^{4} g^{3} \log\left(b x + a\right) + 2 \, {\left(B b^{4} c d^{3} + {\left(12 \, A - B\right)} a b^{3} d^{4}\right)} g^{3} x^{3} - 3 \, {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} - 3 \, {\left(4 \, A - B\right)} a^{2} b^{2} d^{4}\right)} g^{3} x^{2} + 6 \, {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} + {\left(4 \, A - 3 \, B\right)} a^{3} b d^{4}\right)} g^{3} x - 6 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} g^{3} \log\left(d x + c\right) + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B a b^{3} d^{4} g^{3} x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} x^{2} + 4 \, B a^{3} b d^{4} g^{3} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{24 \, b d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 - 6*B*a^4*d^4*g^3*log(b*x + a) + 2*(B*b^4*c*d^3 + (12*A - B)*a*b^3*d^4)*g^3*x^3 - 3*(B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 - 3*(4*A - B)*a^2*b^2*d^4)*g^3*x^2 + 6*(B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 + (4*A - 3*B)*a^3*b*d^4)*g^3*x - 6*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*g^3*log(d*x + c) + 6*(B*b^4*d^4*g^3*x^4 + 4*B*a*b^3*d^4*g^3*x^3 + 6*B*a^2*b^2*d^4*g^3*x^2 + 4*B*a^3*b*d^4*g^3*x)*log((d*e*x + c*e)/(b*x + a)))/(b*d^4)","B",0
175,1,223,0,0.443458," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} - 2 \, B a^{3} d^{3} g^{2} \log\left(b x + a\right) + {\left(B b^{3} c d^{2} + {\left(6 \, A - B\right)} a b^{2} d^{3}\right)} g^{2} x^{2} - 2 \, {\left(B b^{3} c^{2} d - 3 \, B a b^{2} c d^{2} - {\left(3 \, A - 2 \, B\right)} a^{2} b d^{3}\right)} g^{2} x + 2 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} g^{2} \log\left(d x + c\right) + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B a b^{2} d^{3} g^{2} x^{2} + 3 \, B a^{2} b d^{3} g^{2} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{6 \, b d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 - 2*B*a^3*d^3*g^2*log(b*x + a) + (B*b^3*c*d^2 + (6*A - B)*a*b^2*d^3)*g^2*x^2 - 2*(B*b^3*c^2*d - 3*B*a*b^2*c*d^2 - (3*A - 2*B)*a^2*b*d^3)*g^2*x + 2*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*g^2*log(d*x + c) + 2*(B*b^3*d^3*g^2*x^3 + 3*B*a*b^2*d^3*g^2*x^2 + 3*B*a^2*b*d^3*g^2*x)*log((d*e*x + c*e)/(b*x + a)))/(b*d^3)","B",0
176,1,127,0,0.424304," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} - B a^{2} d^{2} g \log\left(b x + a\right) + {\left(B b^{2} c d + {\left(2 \, A - B\right)} a b d^{2}\right)} g x - {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} g \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B a b d^{2} g x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 - B*a^2*d^2*g*log(b*x + a) + (B*b^2*c*d + (2*A - B)*a*b*d^2)*g*x - (B*b^2*c^2 - 2*B*a*b*c*d)*g*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*a*b*d^2*g*x)*log((d*e*x + c*e)/(b*x + a)))/(b*d^2)","A",0
177,0,0,0,0.417603," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{d e x + c e}{b x + a}\right) + A}{b g x + a g}, x\right)"," ",0,"integral((B*log((d*e*x + c*e)/(b*x + a)) + A)/(b*g*x + a*g), x)","F",0
178,1,87,0,0.414246," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A - B\right)} b c - {\left(A - B\right)} a d + {\left(B b d x + B b c\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A - B)*b*c - (A - B)*a*d + (B*b*d*x + B*b*c)*log((d*e*x + c*e)/(b*x + a)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
179,1,221,0,0.420950," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, A - B\right)} b^{2} c^{2} - 4 \, {\left(A - B\right)} a b c d + {\left(2 \, A - 3 \, B\right)} a^{2} d^{2} + 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} x - 2 \, {\left(B b^{2} d^{2} x^{2} + 2 \, B a b d^{2} x - B b^{2} c^{2} + 2 \, B a b c d\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*((2*A - B)*b^2*c^2 - 4*(A - B)*a*b*c*d + (2*A - 3*B)*a^2*d^2 + 2*(B*b^2*c*d - B*a*b*d^2)*x - 2*(B*b^2*d^2*x^2 + 2*B*a*b*d^2*x - B*b^2*c^2 + 2*B*a*b*c*d)*log((d*e*x + c*e)/(b*x + a)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
180,1,412,0,0.428020," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(3 \, A - B\right)} b^{3} c^{3} - 9 \, {\left(2 \, A - B\right)} a b^{2} c^{2} d + 18 \, {\left(A - B\right)} a^{2} b c d^{2} - {\left(6 \, A - 11 \, B\right)} a^{3} d^{3} - 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} x^{2} + 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} x + 6 \, {\left(B b^{3} d^{3} x^{3} + 3 \, B a b^{2} d^{3} x^{2} + 3 \, B a^{2} b d^{3} x + B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{18 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/18*(2*(3*A - B)*b^3*c^3 - 9*(2*A - B)*a*b^2*c^2*d + 18*(A - B)*a^2*b*c*d^2 - (6*A - 11*B)*a^3*d^3 - 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*x^2 + 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*x + 6*(B*b^3*d^3*x^3 + 3*B*a*b^2*d^3*x^2 + 3*B*a^2*b*d^3*x + B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*log((d*e*x + c*e)/(b*x + a)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
181,1,637,0,0.437214," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{3 \, {\left(4 \, A - B\right)} b^{4} c^{4} - 16 \, {\left(3 \, A - B\right)} a b^{3} c^{3} d + 36 \, {\left(2 \, A - B\right)} a^{2} b^{2} c^{2} d^{2} - 48 \, {\left(A - B\right)} a^{3} b c d^{3} + {\left(12 \, A - 25 \, B\right)} a^{4} d^{4} + 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} x^{3} - 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} x - 12 \, {\left(B b^{4} d^{4} x^{4} + 4 \, B a b^{3} d^{4} x^{3} + 6 \, B a^{2} b^{2} d^{4} x^{2} + 4 \, B a^{3} b d^{4} x - B b^{4} c^{4} + 4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{48 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/48*(3*(4*A - B)*b^4*c^4 - 16*(3*A - B)*a*b^3*c^3*d + 36*(2*A - B)*a^2*b^2*c^2*d^2 - 48*(A - B)*a^3*b*c*d^3 + (12*A - 25*B)*a^4*d^4 + 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*x^3 - 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*x^2 + 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*x - 12*(B*b^4*d^4*x^4 + 4*B*a*b^3*d^4*x^3 + 6*B*a^2*b^2*d^4*x^2 + 4*B*a^3*b*d^4*x - B*b^4*c^4 + 4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3)*log((d*e*x + c*e)/(b*x + a)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
182,0,0,0,0.437309," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{4} g^{4} x^{4} + 4 \, A^{2} a b^{3} g^{4} x^{3} + 6 \, A^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, A^{2} a^{3} b g^{4} x + A^{2} a^{4} g^{4} + {\left(B^{2} b^{4} g^{4} x^{4} + 4 \, B^{2} a b^{3} g^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, B^{2} a^{3} b g^{4} x + B^{2} a^{4} g^{4}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left(A B b^{4} g^{4} x^{4} + 4 \, A B a b^{3} g^{4} x^{3} + 6 \, A B a^{2} b^{2} g^{4} x^{2} + 4 \, A B a^{3} b g^{4} x + A B a^{4} g^{4}\right)} \log\left(\frac{d e x + c e}{b x + a}\right), x\right)"," ",0,"integral(A^2*b^4*g^4*x^4 + 4*A^2*a*b^3*g^4*x^3 + 6*A^2*a^2*b^2*g^4*x^2 + 4*A^2*a^3*b*g^4*x + A^2*a^4*g^4 + (B^2*b^4*g^4*x^4 + 4*B^2*a*b^3*g^4*x^3 + 6*B^2*a^2*b^2*g^4*x^2 + 4*B^2*a^3*b*g^4*x + B^2*a^4*g^4)*log((d*e*x + c*e)/(b*x + a))^2 + 2*(A*B*b^4*g^4*x^4 + 4*A*B*a*b^3*g^4*x^3 + 6*A*B*a^2*b^2*g^4*x^2 + 4*A*B*a^3*b*g^4*x + A*B*a^4*g^4)*log((d*e*x + c*e)/(b*x + a)), x)","F",0
183,0,0,0,0.445768," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{d e x + c e}{b x + a}\right), x\right)"," ",0,"integral(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((d*e*x + c*e)/(b*x + a))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((d*e*x + c*e)/(b*x + a)), x)","F",0
184,0,0,0,0.438097," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{d e x + c e}{b x + a}\right), x\right)"," ",0,"integral(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((d*e*x + c*e)/(b*x + a))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((d*e*x + c*e)/(b*x + a)), x)","F",0
185,0,0,0,0.438112," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{d e x + c e}{b x + a}\right), x\right)"," ",0,"integral(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((d*e*x + c*e)/(b*x + a))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((d*e*x + c*e)/(b*x + a)), x)","F",0
186,0,0,0,0.428773," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, A B \log\left(\frac{d e x + c e}{b x + a}\right) + A^{2}}{b g x + a g}, x\right)"," ",0,"integral((B^2*log((d*e*x + c*e)/(b*x + a))^2 + 2*A*B*log((d*e*x + c*e)/(b*x + a)) + A^2)/(b*g*x + a*g), x)","F",0
187,1,154,0,0.420525," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} b c - {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a d + {\left(B^{2} b d x + B^{2} b c\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left({\left(A B - B^{2}\right)} b d x + {\left(A B - B^{2}\right)} b c\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A^2 - 2*A*B + 2*B^2)*b*c - (A^2 - 2*A*B + 2*B^2)*a*d + (B^2*b*d*x + B^2*b*c)*log((d*e*x + c*e)/(b*x + a))^2 + 2*((A*B - B^2)*b*d*x + (A*B - B^2)*b*c)*log((d*e*x + c*e)/(b*x + a)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
188,1,373,0,0.446980," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(2 \, A^{2} - 2 \, A B + B^{2}\right)} b^{2} c^{2} - 4 \, {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a b c d + {\left(2 \, A^{2} - 6 \, A B + 7 \, B^{2}\right)} a^{2} d^{2} - 2 \, {\left(B^{2} b^{2} d^{2} x^{2} + 2 \, B^{2} a b d^{2} x - B^{2} b^{2} c^{2} + 2 \, B^{2} a b c d\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left({\left(2 \, A B - 3 \, B^{2}\right)} b^{2} c d - {\left(2 \, A B - 3 \, B^{2}\right)} a b d^{2}\right)} x - 2 \, {\left({\left(2 \, A B - 3 \, B^{2}\right)} b^{2} d^{2} x^{2} - {\left(2 \, A B - B^{2}\right)} b^{2} c^{2} + 4 \, {\left(A B - B^{2}\right)} a b c d - 2 \, {\left(B^{2} b^{2} c d - 2 \, {\left(A B - B^{2}\right)} a b d^{2}\right)} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{4 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/4*((2*A^2 - 2*A*B + B^2)*b^2*c^2 - 4*(A^2 - 2*A*B + 2*B^2)*a*b*c*d + (2*A^2 - 6*A*B + 7*B^2)*a^2*d^2 - 2*(B^2*b^2*d^2*x^2 + 2*B^2*a*b*d^2*x - B^2*b^2*c^2 + 2*B^2*a*b*c*d)*log((d*e*x + c*e)/(b*x + a))^2 + 2*((2*A*B - 3*B^2)*b^2*c*d - (2*A*B - 3*B^2)*a*b*d^2)*x - 2*((2*A*B - 3*B^2)*b^2*d^2*x^2 - (2*A*B - B^2)*b^2*c^2 + 4*(A*B - B^2)*a*b*c*d - 2*(B^2*b^2*c*d - 2*(A*B - B^2)*a*b*d^2)*x)*log((d*e*x + c*e)/(b*x + a)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
189,1,680,0,0.441988," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(9 \, A^{2} - 6 \, A B + 2 \, B^{2}\right)} b^{3} c^{3} - 27 \, {\left(2 \, A^{2} - 2 \, A B + B^{2}\right)} a b^{2} c^{2} d + 54 \, {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a^{2} b c d^{2} - {\left(18 \, A^{2} - 66 \, A B + 85 \, B^{2}\right)} a^{3} d^{3} - 6 \, {\left({\left(6 \, A B - 11 \, B^{2}\right)} b^{3} c d^{2} - {\left(6 \, A B - 11 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 18 \, {\left(B^{2} b^{3} d^{3} x^{3} + 3 \, B^{2} a b^{2} d^{3} x^{2} + 3 \, B^{2} a^{2} b d^{3} x + B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 3 \, {\left({\left(6 \, A B - 5 \, B^{2}\right)} b^{3} c^{2} d - 18 \, {\left(2 \, A B - 3 \, B^{2}\right)} a b^{2} c d^{2} + {\left(30 \, A B - 49 \, B^{2}\right)} a^{2} b d^{3}\right)} x + 6 \, {\left({\left(6 \, A B - 11 \, B^{2}\right)} b^{3} d^{3} x^{3} + 2 \, {\left(3 \, A B - B^{2}\right)} b^{3} c^{3} - 9 \, {\left(2 \, A B - B^{2}\right)} a b^{2} c^{2} d + 18 \, {\left(A B - B^{2}\right)} a^{2} b c d^{2} - 3 \, {\left(2 \, B^{2} b^{3} c d^{2} - 3 \, {\left(2 \, A B - 3 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} + 6 \, {\left(A B - B^{2}\right)} a^{2} b d^{3}\right)} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{54 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/54*(2*(9*A^2 - 6*A*B + 2*B^2)*b^3*c^3 - 27*(2*A^2 - 2*A*B + B^2)*a*b^2*c^2*d + 54*(A^2 - 2*A*B + 2*B^2)*a^2*b*c*d^2 - (18*A^2 - 66*A*B + 85*B^2)*a^3*d^3 - 6*((6*A*B - 11*B^2)*b^3*c*d^2 - (6*A*B - 11*B^2)*a*b^2*d^3)*x^2 + 18*(B^2*b^3*d^3*x^3 + 3*B^2*a*b^2*d^3*x^2 + 3*B^2*a^2*b*d^3*x + B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*log((d*e*x + c*e)/(b*x + a))^2 + 3*((6*A*B - 5*B^2)*b^3*c^2*d - 18*(2*A*B - 3*B^2)*a*b^2*c*d^2 + (30*A*B - 49*B^2)*a^2*b*d^3)*x + 6*((6*A*B - 11*B^2)*b^3*d^3*x^3 + 2*(3*A*B - B^2)*b^3*c^3 - 9*(2*A*B - B^2)*a*b^2*c^2*d + 18*(A*B - B^2)*a^2*b*c*d^2 - 3*(2*B^2*b^3*c*d^2 - 3*(2*A*B - 3*B^2)*a*b^2*d^3)*x^2 + 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 + 6*(A*B - B^2)*a^2*b*d^3)*x)*log((d*e*x + c*e)/(b*x + a)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","A",0
190,1,1045,0,0.460346," ","integrate((A+B*log(e*(d*x+c)/(b*x+a)))^2/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{9 \, {\left(8 \, A^{2} - 4 \, A B + B^{2}\right)} b^{4} c^{4} - 32 \, {\left(9 \, A^{2} - 6 \, A B + 2 \, B^{2}\right)} a b^{3} c^{3} d + 216 \, {\left(2 \, A^{2} - 2 \, A B + B^{2}\right)} a^{2} b^{2} c^{2} d^{2} - 288 \, {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a^{3} b c d^{3} + {\left(72 \, A^{2} - 300 \, A B + 415 \, B^{2}\right)} a^{4} d^{4} + 12 \, {\left({\left(12 \, A B - 25 \, B^{2}\right)} b^{4} c d^{3} - {\left(12 \, A B - 25 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} - 6 \, {\left({\left(12 \, A B - 13 \, B^{2}\right)} b^{4} c^{2} d^{2} - 16 \, {\left(6 \, A B - 11 \, B^{2}\right)} a b^{3} c d^{3} + {\left(84 \, A B - 163 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 72 \, {\left(B^{2} b^{4} d^{4} x^{4} + 4 \, B^{2} a b^{3} d^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} x^{2} + 4 \, B^{2} a^{3} b d^{4} x - B^{2} b^{4} c^{4} + 4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3}\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 4 \, {\left({\left(12 \, A B - 7 \, B^{2}\right)} b^{4} c^{3} d - 12 \, {\left(6 \, A B - 5 \, B^{2}\right)} a b^{3} c^{2} d^{2} + 108 \, {\left(2 \, A B - 3 \, B^{2}\right)} a^{2} b^{2} c d^{3} - {\left(156 \, A B - 271 \, B^{2}\right)} a^{3} b d^{4}\right)} x - 12 \, {\left({\left(12 \, A B - 25 \, B^{2}\right)} b^{4} d^{4} x^{4} - 3 \, {\left(4 \, A B - B^{2}\right)} b^{4} c^{4} + 16 \, {\left(3 \, A B - B^{2}\right)} a b^{3} c^{3} d - 36 \, {\left(2 \, A B - B^{2}\right)} a^{2} b^{2} c^{2} d^{2} + 48 \, {\left(A B - B^{2}\right)} a^{3} b c d^{3} - 4 \, {\left(3 \, B^{2} b^{4} c d^{3} - 2 \, {\left(6 \, A B - 11 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} + 6 \, {\left(2 \, A B - 3 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} - 12 \, {\left(A B - B^{2}\right)} a^{3} b d^{4}\right)} x\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}{288 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/288*(9*(8*A^2 - 4*A*B + B^2)*b^4*c^4 - 32*(9*A^2 - 6*A*B + 2*B^2)*a*b^3*c^3*d + 216*(2*A^2 - 2*A*B + B^2)*a^2*b^2*c^2*d^2 - 288*(A^2 - 2*A*B + 2*B^2)*a^3*b*c*d^3 + (72*A^2 - 300*A*B + 415*B^2)*a^4*d^4 + 12*((12*A*B - 25*B^2)*b^4*c*d^3 - (12*A*B - 25*B^2)*a*b^3*d^4)*x^3 - 6*((12*A*B - 13*B^2)*b^4*c^2*d^2 - 16*(6*A*B - 11*B^2)*a*b^3*c*d^3 + (84*A*B - 163*B^2)*a^2*b^2*d^4)*x^2 - 72*(B^2*b^4*d^4*x^4 + 4*B^2*a*b^3*d^4*x^3 + 6*B^2*a^2*b^2*d^4*x^2 + 4*B^2*a^3*b*d^4*x - B^2*b^4*c^4 + 4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3)*log((d*e*x + c*e)/(b*x + a))^2 + 4*((12*A*B - 7*B^2)*b^4*c^3*d - 12*(6*A*B - 5*B^2)*a*b^3*c^2*d^2 + 108*(2*A*B - 3*B^2)*a^2*b^2*c*d^3 - (156*A*B - 271*B^2)*a^3*b*d^4)*x - 12*((12*A*B - 25*B^2)*b^4*d^4*x^4 - 3*(4*A*B - B^2)*b^4*c^4 + 16*(3*A*B - B^2)*a*b^3*c^3*d - 36*(2*A*B - B^2)*a^2*b^2*c^2*d^2 + 48*(A*B - B^2)*a^3*b*c*d^3 - 4*(3*B^2*b^4*c*d^3 - 2*(6*A*B - 11*B^2)*a*b^3*d^4)*x^3 + 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 + 6*(2*A*B - 3*B^2)*a^2*b^2*d^4)*x^2 - 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 - 12*(A*B - B^2)*a^3*b*d^4)*x)*log((d*e*x + c*e)/(b*x + a)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
191,0,0,0,0.443553," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B \log\left(\frac{d e x + c e}{b x + a}\right) + A}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B*log((d*e*x + c*e)/(b*x + a)) + A), x)","F",0
192,0,0,0,0.423569," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B \log\left(\frac{d e x + c e}{b x + a}\right) + A}, x\right)"," ",0,"integral((b*g*x + a*g)/(B*log((d*e*x + c*e)/(b*x + a)) + A), x)","F",0
193,0,0,0,0.426099," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b g x + A a g + {\left(B b g x + B a g\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}, x\right)"," ",0,"integral(1/(A*b*g*x + A*a*g + (B*b*g*x + B*a*g)*log((d*e*x + c*e)/(b*x + a))), x)","F",0
194,1,50,0,0.634973," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","-\frac{e^{\left(-\frac{A}{B}\right)} \operatorname{log\_integral}\left(\frac{{\left(d e x + c e\right)} e^{\frac{A}{B}}}{b x + a}\right)}{{\left(B b c - B a d\right)} e g^{2}}"," ",0,"-e^(-A/B)*log_integral((d*e*x + c*e)*e^(A/B)/(b*x + a))/((B*b*c - B*a*d)*e*g^2)","A",0
195,1,129,0,0.448467," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)/(b*x+a))),x, algorithm=""fricas"")","\frac{{\left(d e e^{\frac{A}{B}} \operatorname{log\_integral}\left(\frac{{\left(d e x + c e\right)} e^{\frac{A}{B}}}{b x + a}\right) - b \operatorname{log\_integral}\left(\frac{{\left(d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}\right)} e^{\left(\frac{2 \, A}{B}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)\right)} e^{\left(-\frac{2 \, A}{B}\right)}}{{\left(B b^{2} c^{2} - 2 \, B a b c d + B a^{2} d^{2}\right)} e^{2} g^{3}}"," ",0,"(d*e*e^(A/B)*log_integral((d*e*x + c*e)*e^(A/B)/(b*x + a)) - b*log_integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)*e^(2*A/B)/(b^2*x^2 + 2*a*b*x + a^2)))*e^(-2*A/B)/((B*b^2*c^2 - 2*B*a*b*c*d + B*a^2*d^2)*e^2*g^3)","A",0
196,0,0,0,0.432181," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B^{2} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, A B \log\left(\frac{d e x + c e}{b x + a}\right) + A^{2}}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B^2*log((d*e*x + c*e)/(b*x + a))^2 + 2*A*B*log((d*e*x + c*e)/(b*x + a)) + A^2), x)","F",0
197,0,0,0,0.423944," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B^{2} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, A B \log\left(\frac{d e x + c e}{b x + a}\right) + A^{2}}, x\right)"," ",0,"integral((b*g*x + a*g)/(B^2*log((d*e*x + c*e)/(b*x + a))^2 + 2*A*B*log((d*e*x + c*e)/(b*x + a)) + A^2), x)","F",0
198,0,0,0,0.424373," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{d e x + c e}{b x + a}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{d e x + c e}{b x + a}\right)}, x\right)"," ",0,"integral(1/(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((d*e*x + c*e)/(b*x + a))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((d*e*x + c*e)/(b*x + a))), x)","F",0
199,1,208,0,0.416540," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","\frac{{\left(B d e x + B c e\right)} e^{\frac{A}{B}} - {\left(A b x + A a + {\left(B b x + B a\right)} \log\left(\frac{d e x + c e}{b x + a}\right)\right)} \operatorname{log\_integral}\left(\frac{{\left(d e x + c e\right)} e^{\frac{A}{B}}}{b x + a}\right)}{{\left({\left(B^{3} b^{2} c - B^{3} a b d\right)} e g^{2} x + {\left(B^{3} a b c - B^{3} a^{2} d\right)} e g^{2}\right)} e^{\frac{A}{B}} \log\left(\frac{d e x + c e}{b x + a}\right) + {\left({\left(A B^{2} b^{2} c - A B^{2} a b d\right)} e g^{2} x + {\left(A B^{2} a b c - A B^{2} a^{2} d\right)} e g^{2}\right)} e^{\frac{A}{B}}}"," ",0,"((B*d*e*x + B*c*e)*e^(A/B) - (A*b*x + A*a + (B*b*x + B*a)*log((d*e*x + c*e)/(b*x + a)))*log_integral((d*e*x + c*e)*e^(A/B)/(b*x + a)))/(((B^3*b^2*c - B^3*a*b*d)*e*g^2*x + (B^3*a*b*c - B^3*a^2*d)*e*g^2)*e^(A/B)*log((d*e*x + c*e)/(b*x + a)) + ((A*B^2*b^2*c - A*B^2*a*b*d)*e*g^2*x + (A*B^2*a*b*c - A*B^2*a^2*d)*e*g^2)*e^(A/B))","B",0
200,1,584,0,0.427393," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)/(b*x+a)))^2,x, algorithm=""fricas"")","\frac{{\left({\left(B b c d - B a d^{2}\right)} e^{2} x + {\left(B b c^{2} - B a c d\right)} e^{2}\right)} e^{\left(\frac{2 \, A}{B}\right)} - 2 \, {\left(A b^{3} x^{2} + 2 \, A a b^{2} x + A a^{2} b + {\left(B b^{3} x^{2} + 2 \, B a b^{2} x + B a^{2} b\right)} \log\left(\frac{d e x + c e}{b x + a}\right)\right)} \operatorname{log\_integral}\left(\frac{{\left(d^{2} e^{2} x^{2} + 2 \, c d e^{2} x + c^{2} e^{2}\right)} e^{\left(\frac{2 \, A}{B}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + {\left({\left(B b^{2} d e x^{2} + 2 \, B a b d e x + B a^{2} d e\right)} e^{\frac{A}{B}} \log\left(\frac{d e x + c e}{b x + a}\right) + {\left(A b^{2} d e x^{2} + 2 \, A a b d e x + A a^{2} d e\right)} e^{\frac{A}{B}}\right)} \operatorname{log\_integral}\left(\frac{{\left(d e x + c e\right)} e^{\frac{A}{B}}}{b x + a}\right)}{{\left({\left(B^{3} b^{4} c^{2} - 2 \, B^{3} a b^{3} c d + B^{3} a^{2} b^{2} d^{2}\right)} e^{2} g^{3} x^{2} + 2 \, {\left(B^{3} a b^{3} c^{2} - 2 \, B^{3} a^{2} b^{2} c d + B^{3} a^{3} b d^{2}\right)} e^{2} g^{3} x + {\left(B^{3} a^{2} b^{2} c^{2} - 2 \, B^{3} a^{3} b c d + B^{3} a^{4} d^{2}\right)} e^{2} g^{3}\right)} e^{\left(\frac{2 \, A}{B}\right)} \log\left(\frac{d e x + c e}{b x + a}\right) + {\left({\left(A B^{2} b^{4} c^{2} - 2 \, A B^{2} a b^{3} c d + A B^{2} a^{2} b^{2} d^{2}\right)} e^{2} g^{3} x^{2} + 2 \, {\left(A B^{2} a b^{3} c^{2} - 2 \, A B^{2} a^{2} b^{2} c d + A B^{2} a^{3} b d^{2}\right)} e^{2} g^{3} x + {\left(A B^{2} a^{2} b^{2} c^{2} - 2 \, A B^{2} a^{3} b c d + A B^{2} a^{4} d^{2}\right)} e^{2} g^{3}\right)} e^{\left(\frac{2 \, A}{B}\right)}}"," ",0,"(((B*b*c*d - B*a*d^2)*e^2*x + (B*b*c^2 - B*a*c*d)*e^2)*e^(2*A/B) - 2*(A*b^3*x^2 + 2*A*a*b^2*x + A*a^2*b + (B*b^3*x^2 + 2*B*a*b^2*x + B*a^2*b)*log((d*e*x + c*e)/(b*x + a)))*log_integral((d^2*e^2*x^2 + 2*c*d*e^2*x + c^2*e^2)*e^(2*A/B)/(b^2*x^2 + 2*a*b*x + a^2)) + ((B*b^2*d*e*x^2 + 2*B*a*b*d*e*x + B*a^2*d*e)*e^(A/B)*log((d*e*x + c*e)/(b*x + a)) + (A*b^2*d*e*x^2 + 2*A*a*b*d*e*x + A*a^2*d*e)*e^(A/B))*log_integral((d*e*x + c*e)*e^(A/B)/(b*x + a)))/(((B^3*b^4*c^2 - 2*B^3*a*b^3*c*d + B^3*a^2*b^2*d^2)*e^2*g^3*x^2 + 2*(B^3*a*b^3*c^2 - 2*B^3*a^2*b^2*c*d + B^3*a^3*b*d^2)*e^2*g^3*x + (B^3*a^2*b^2*c^2 - 2*B^3*a^3*b*c*d + B^3*a^4*d^2)*e^2*g^3)*e^(2*A/B)*log((d*e*x + c*e)/(b*x + a)) + ((A*B^2*b^4*c^2 - 2*A*B^2*a*b^3*c*d + A*B^2*a^2*b^2*d^2)*e^2*g^3*x^2 + 2*(A*B^2*a*b^3*c^2 - 2*A*B^2*a^2*b^2*c*d + A*B^2*a^3*b*d^2)*e^2*g^3*x + (A*B^2*a^2*b^2*c^2 - 2*A*B^2*a^3*b*c*d + A*B^2*a^4*d^2)*e^2*g^3)*e^(2*A/B))","B",0
201,1,457,0,0.521139," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","\frac{6 \, A b^{5} d^{5} g^{4} x^{5} - 12 \, B a^{5} d^{5} g^{4} \log\left(b x + a\right) + 3 \, {\left(B b^{5} c d^{4} + {\left(10 \, A - B\right)} a b^{4} d^{5}\right)} g^{4} x^{4} - 4 \, {\left(B b^{5} c^{2} d^{3} - 5 \, B a b^{4} c d^{4} - {\left(15 \, A - 4 \, B\right)} a^{2} b^{3} d^{5}\right)} g^{4} x^{3} + 6 \, {\left(B b^{5} c^{3} d^{2} - 5 \, B a b^{4} c^{2} d^{3} + 10 \, B a^{2} b^{3} c d^{4} + 2 \, {\left(5 \, A - 3 \, B\right)} a^{3} b^{2} d^{5}\right)} g^{4} x^{2} - 6 \, {\left(2 \, B b^{5} c^{4} d - 10 \, B a b^{4} c^{3} d^{2} + 20 \, B a^{2} b^{3} c^{2} d^{3} - 20 \, B a^{3} b^{2} c d^{4} - {\left(5 \, A - 8 \, B\right)} a^{4} b d^{5}\right)} g^{4} x + 12 \, {\left(B b^{5} c^{5} - 5 \, B a b^{4} c^{4} d + 10 \, B a^{2} b^{3} c^{3} d^{2} - 10 \, B a^{3} b^{2} c^{2} d^{3} + 5 \, B a^{4} b c d^{4}\right)} g^{4} \log\left(d x + c\right) + 6 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B a b^{4} d^{5} g^{4} x^{4} + 10 \, B a^{2} b^{3} d^{5} g^{4} x^{3} + 10 \, B a^{3} b^{2} d^{5} g^{4} x^{2} + 5 \, B a^{4} b d^{5} g^{4} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{30 \, b d^{5}}"," ",0,"1/30*(6*A*b^5*d^5*g^4*x^5 - 12*B*a^5*d^5*g^4*log(b*x + a) + 3*(B*b^5*c*d^4 + (10*A - B)*a*b^4*d^5)*g^4*x^4 - 4*(B*b^5*c^2*d^3 - 5*B*a*b^4*c*d^4 - (15*A - 4*B)*a^2*b^3*d^5)*g^4*x^3 + 6*(B*b^5*c^3*d^2 - 5*B*a*b^4*c^2*d^3 + 10*B*a^2*b^3*c*d^4 + 2*(5*A - 3*B)*a^3*b^2*d^5)*g^4*x^2 - 6*(2*B*b^5*c^4*d - 10*B*a*b^4*c^3*d^2 + 20*B*a^2*b^3*c^2*d^3 - 20*B*a^3*b^2*c*d^4 - (5*A - 8*B)*a^4*b*d^5)*g^4*x + 12*(B*b^5*c^5 - 5*B*a*b^4*c^4*d + 10*B*a^2*b^3*c^3*d^2 - 10*B*a^3*b^2*c^2*d^3 + 5*B*a^4*b*c*d^4)*g^4*log(d*x + c) + 6*(B*b^5*d^5*g^4*x^5 + 5*B*a*b^4*d^5*g^4*x^4 + 10*B*a^2*b^3*d^5*g^4*x^3 + 10*B*a^3*b^2*d^5*g^4*x^2 + 5*B*a^4*b*d^5*g^4*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/(b*d^5)","B",0
202,1,343,0,0.467716," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","\frac{3 \, A b^{4} d^{4} g^{3} x^{4} - 6 \, B a^{4} d^{4} g^{3} \log\left(b x + a\right) + 2 \, {\left(B b^{4} c d^{3} + {\left(6 \, A - B\right)} a b^{3} d^{4}\right)} g^{3} x^{3} - 3 \, {\left(B b^{4} c^{2} d^{2} - 4 \, B a b^{3} c d^{3} - 3 \, {\left(2 \, A - B\right)} a^{2} b^{2} d^{4}\right)} g^{3} x^{2} + 6 \, {\left(B b^{4} c^{3} d - 4 \, B a b^{3} c^{2} d^{2} + 6 \, B a^{2} b^{2} c d^{3} + {\left(2 \, A - 3 \, B\right)} a^{3} b d^{4}\right)} g^{3} x - 6 \, {\left(B b^{4} c^{4} - 4 \, B a b^{3} c^{3} d + 6 \, B a^{2} b^{2} c^{2} d^{2} - 4 \, B a^{3} b c d^{3}\right)} g^{3} \log\left(d x + c\right) + 3 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B a b^{3} d^{4} g^{3} x^{3} + 6 \, B a^{2} b^{2} d^{4} g^{3} x^{2} + 4 \, B a^{3} b d^{4} g^{3} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{12 \, b d^{4}}"," ",0,"1/12*(3*A*b^4*d^4*g^3*x^4 - 6*B*a^4*d^4*g^3*log(b*x + a) + 2*(B*b^4*c*d^3 + (6*A - B)*a*b^3*d^4)*g^3*x^3 - 3*(B*b^4*c^2*d^2 - 4*B*a*b^3*c*d^3 - 3*(2*A - B)*a^2*b^2*d^4)*g^3*x^2 + 6*(B*b^4*c^3*d - 4*B*a*b^3*c^2*d^2 + 6*B*a^2*b^2*c*d^3 + (2*A - 3*B)*a^3*b*d^4)*g^3*x - 6*(B*b^4*c^4 - 4*B*a*b^3*c^3*d + 6*B*a^2*b^2*c^2*d^2 - 4*B*a^3*b*c*d^3)*g^3*log(d*x + c) + 3*(B*b^4*d^4*g^3*x^4 + 4*B*a*b^3*d^4*g^3*x^3 + 6*B*a^2*b^2*d^4*g^3*x^2 + 4*B*a^3*b*d^4*g^3*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/(b*d^4)","B",0
203,1,245,0,0.443421," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","\frac{A b^{3} d^{3} g^{2} x^{3} - 2 \, B a^{3} d^{3} g^{2} \log\left(b x + a\right) + {\left(B b^{3} c d^{2} + {\left(3 \, A - B\right)} a b^{2} d^{3}\right)} g^{2} x^{2} - {\left(2 \, B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} - {\left(3 \, A - 4 \, B\right)} a^{2} b d^{3}\right)} g^{2} x + 2 \, {\left(B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} g^{2} \log\left(d x + c\right) + {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B a b^{2} d^{3} g^{2} x^{2} + 3 \, B a^{2} b d^{3} g^{2} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{3 \, b d^{3}}"," ",0,"1/3*(A*b^3*d^3*g^2*x^3 - 2*B*a^3*d^3*g^2*log(b*x + a) + (B*b^3*c*d^2 + (3*A - B)*a*b^2*d^3)*g^2*x^2 - (2*B*b^3*c^2*d - 6*B*a*b^2*c*d^2 - (3*A - 4*B)*a^2*b*d^3)*g^2*x + 2*(B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*g^2*log(d*x + c) + (B*b^3*d^3*g^2*x^3 + 3*B*a*b^2*d^3*g^2*x^2 + 3*B*a^2*b*d^3*g^2*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/(b*d^3)","B",0
204,1,149,0,0.435467," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} - 2 \, B a^{2} d^{2} g \log\left(b x + a\right) + 2 \, {\left(B b^{2} c d + {\left(A - B\right)} a b d^{2}\right)} g x - 2 \, {\left(B b^{2} c^{2} - 2 \, B a b c d\right)} g \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B a b d^{2} g x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{2 \, b d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 - 2*B*a^2*d^2*g*log(b*x + a) + 2*(B*b^2*c*d + (A - B)*a*b*d^2)*g*x - 2*(B*b^2*c^2 - 2*B*a*b*c*d)*g*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*a*b*d^2*g*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/(b*d^2)","A",0
205,0,0,0,0.426310," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A}{b g x + a g}, x\right)"," ",0,"integral((B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A)/(b*g*x + a*g), x)","F",0
206,1,110,0,0.421143," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A - 2 \, B\right)} b c - {\left(A - 2 \, B\right)} a d + {\left(B b d x + B b c\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A - 2*B)*b*c - (A - 2*B)*a*d + (B*b*d*x + B*b*c)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
207,1,240,0,0.426604," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(A - B\right)} b^{2} c^{2} - 2 \, {\left(A - 2 \, B\right)} a b c d + {\left(A - 3 \, B\right)} a^{2} d^{2} + 2 \, {\left(B b^{2} c d - B a b d^{2}\right)} x - {\left(B b^{2} d^{2} x^{2} + 2 \, B a b d^{2} x - B b^{2} c^{2} + 2 \, B a b c d\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{2 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/2*((A - B)*b^2*c^2 - 2*(A - 2*B)*a*b*c*d + (A - 3*B)*a^2*d^2 + 2*(B*b^2*c*d - B*a*b*d^2)*x - (B*b^2*d^2*x^2 + 2*B*a*b*d^2*x - B*b^2*c^2 + 2*B*a*b*c*d)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
208,1,432,0,0.441258," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{{\left(3 \, A - 2 \, B\right)} b^{3} c^{3} - 9 \, {\left(A - B\right)} a b^{2} c^{2} d + 9 \, {\left(A - 2 \, B\right)} a^{2} b c d^{2} - {\left(3 \, A - 11 \, B\right)} a^{3} d^{3} - 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} x^{2} + 3 \, {\left(B b^{3} c^{2} d - 6 \, B a b^{2} c d^{2} + 5 \, B a^{2} b d^{3}\right)} x + 3 \, {\left(B b^{3} d^{3} x^{3} + 3 \, B a b^{2} d^{3} x^{2} + 3 \, B a^{2} b d^{3} x + B b^{3} c^{3} - 3 \, B a b^{2} c^{2} d + 3 \, B a^{2} b c d^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{9 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/9*((3*A - 2*B)*b^3*c^3 - 9*(A - B)*a*b^2*c^2*d + 9*(A - 2*B)*a^2*b*c*d^2 - (3*A - 11*B)*a^3*d^3 - 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*x^2 + 3*(B*b^3*c^2*d - 6*B*a*b^2*c*d^2 + 5*B*a^2*b*d^3)*x + 3*(B*b^3*d^3*x^3 + 3*B*a*b^2*d^3*x^2 + 3*B*a^2*b*d^3*x + B*b^3*c^3 - 3*B*a*b^2*c^2*d + 3*B*a^2*b*c*d^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","B",0
209,1,658,0,0.436389," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{3 \, {\left(2 \, A - B\right)} b^{4} c^{4} - 8 \, {\left(3 \, A - 2 \, B\right)} a b^{3} c^{3} d + 36 \, {\left(A - B\right)} a^{2} b^{2} c^{2} d^{2} - 24 \, {\left(A - 2 \, B\right)} a^{3} b c d^{3} + {\left(6 \, A - 25 \, B\right)} a^{4} d^{4} + 12 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} x^{3} - 6 \, {\left(B b^{4} c^{2} d^{2} - 8 \, B a b^{3} c d^{3} + 7 \, B a^{2} b^{2} d^{4}\right)} x^{2} + 4 \, {\left(B b^{4} c^{3} d - 6 \, B a b^{3} c^{2} d^{2} + 18 \, B a^{2} b^{2} c d^{3} - 13 \, B a^{3} b d^{4}\right)} x - 6 \, {\left(B b^{4} d^{4} x^{4} + 4 \, B a b^{3} d^{4} x^{3} + 6 \, B a^{2} b^{2} d^{4} x^{2} + 4 \, B a^{3} b d^{4} x - B b^{4} c^{4} + 4 \, B a b^{3} c^{3} d - 6 \, B a^{2} b^{2} c^{2} d^{2} + 4 \, B a^{3} b c d^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{24 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/24*(3*(2*A - B)*b^4*c^4 - 8*(3*A - 2*B)*a*b^3*c^3*d + 36*(A - B)*a^2*b^2*c^2*d^2 - 24*(A - 2*B)*a^3*b*c*d^3 + (6*A - 25*B)*a^4*d^4 + 12*(B*b^4*c*d^3 - B*a*b^3*d^4)*x^3 - 6*(B*b^4*c^2*d^2 - 8*B*a*b^3*c*d^3 + 7*B*a^2*b^2*d^4)*x^2 + 4*(B*b^4*c^3*d - 6*B*a*b^3*c^2*d^2 + 18*B*a^2*b^2*c*d^3 - 13*B*a^3*b*d^4)*x - 6*(B*b^4*d^4*x^4 + 4*B*a*b^3*d^4*x^3 + 6*B*a^2*b^2*d^4*x^2 + 4*B*a^3*b*d^4*x - B*b^4*c^4 + 4*B*a*b^3*c^3*d - 6*B*a^2*b^2*c^2*d^2 + 4*B*a^3*b*c*d^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
210,0,0,0,0.448199," ","integrate((b*g*x+a*g)^4*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{4} g^{4} x^{4} + 4 \, A^{2} a b^{3} g^{4} x^{3} + 6 \, A^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, A^{2} a^{3} b g^{4} x + A^{2} a^{4} g^{4} + {\left(B^{2} b^{4} g^{4} x^{4} + 4 \, B^{2} a b^{3} g^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} g^{4} x^{2} + 4 \, B^{2} a^{3} b g^{4} x + B^{2} a^{4} g^{4}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b^{4} g^{4} x^{4} + 4 \, A B a b^{3} g^{4} x^{3} + 6 \, A B a^{2} b^{2} g^{4} x^{2} + 4 \, A B a^{3} b g^{4} x + A B a^{4} g^{4}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right), x\right)"," ",0,"integral(A^2*b^4*g^4*x^4 + 4*A^2*a*b^3*g^4*x^3 + 6*A^2*a^2*b^2*g^4*x^2 + 4*A^2*a^3*b*g^4*x + A^2*a^4*g^4 + (B^2*b^4*g^4*x^4 + 4*B^2*a*b^3*g^4*x^3 + 6*B^2*a^2*b^2*g^4*x^2 + 4*B^2*a^3*b*g^4*x + B^2*a^4*g^4)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b^4*g^4*x^4 + 4*A*B*a*b^3*g^4*x^3 + 6*A*B*a^2*b^2*g^4*x^2 + 4*A*B*a^3*b*g^4*x + A*B*a^4*g^4)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)), x)","F",0
211,0,0,0,0.450695," ","integrate((b*g*x+a*g)^3*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right), x\right)"," ",0,"integral(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)), x)","F",0
212,0,0,0,0.462780," ","integrate((b*g*x+a*g)^2*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right), x\right)"," ",0,"integral(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)), x)","F",0
213,0,0,0,0.451506," ","integrate((b*g*x+a*g)*(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right), x\right)"," ",0,"integral(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)), x)","F",0
214,0,0,0,0.491894," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, A B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A^{2}}{b g x + a g}, x\right)"," ",0,"integral((B^2*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*A*B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A^2)/(b*g*x + a*g), x)","F",0
215,1,200,0,0.452310," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^2,x, algorithm=""fricas"")","-\frac{{\left(A^{2} - 4 \, A B + 8 \, B^{2}\right)} b c - {\left(A^{2} - 4 \, A B + 8 \, B^{2}\right)} a d + {\left(B^{2} b d x + B^{2} b c\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left({\left(A B - 2 \, B^{2}\right)} b d x + {\left(A B - 2 \, B^{2}\right)} b c\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{{\left(b^{3} c - a b^{2} d\right)} g^{2} x + {\left(a b^{2} c - a^{2} b d\right)} g^{2}}"," ",0,"-((A^2 - 4*A*B + 8*B^2)*b*c - (A^2 - 4*A*B + 8*B^2)*a*d + (B^2*b*d*x + B^2*b*c)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*((A*B - 2*B^2)*b*d*x + (A*B - 2*B^2)*b*c)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^3*c - a*b^2*d)*g^2*x + (a*b^2*c - a^2*b*d)*g^2)","A",0
216,1,413,0,0.458597," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^3,x, algorithm=""fricas"")","-\frac{{\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} b^{2} c^{2} - 2 \, {\left(A^{2} - 4 \, A B + 8 \, B^{2}\right)} a b c d + {\left(A^{2} - 6 \, A B + 14 \, B^{2}\right)} a^{2} d^{2} - {\left(B^{2} b^{2} d^{2} x^{2} + 2 \, B^{2} a b d^{2} x - B^{2} b^{2} c^{2} + 2 \, B^{2} a b c d\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 4 \, {\left({\left(A B - 3 \, B^{2}\right)} b^{2} c d - {\left(A B - 3 \, B^{2}\right)} a b d^{2}\right)} x - 2 \, {\left({\left(A B - 3 \, B^{2}\right)} b^{2} d^{2} x^{2} - {\left(A B - B^{2}\right)} b^{2} c^{2} + 2 \, {\left(A B - 2 \, B^{2}\right)} a b c d - 2 \, {\left(B^{2} b^{2} c d - {\left(A B - 2 \, B^{2}\right)} a b d^{2}\right)} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{2 \, {\left({\left(b^{5} c^{2} - 2 \, a b^{4} c d + a^{2} b^{3} d^{2}\right)} g^{3} x^{2} + 2 \, {\left(a b^{4} c^{2} - 2 \, a^{2} b^{3} c d + a^{3} b^{2} d^{2}\right)} g^{3} x + {\left(a^{2} b^{3} c^{2} - 2 \, a^{3} b^{2} c d + a^{4} b d^{2}\right)} g^{3}\right)}}"," ",0,"-1/2*((A^2 - 2*A*B + 2*B^2)*b^2*c^2 - 2*(A^2 - 4*A*B + 8*B^2)*a*b*c*d + (A^2 - 6*A*B + 14*B^2)*a^2*d^2 - (B^2*b^2*d^2*x^2 + 2*B^2*a*b*d^2*x - B^2*b^2*c^2 + 2*B^2*a*b*c*d)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 4*((A*B - 3*B^2)*b^2*c*d - (A*B - 3*B^2)*a*b*d^2)*x - 2*((A*B - 3*B^2)*b^2*d^2*x^2 - (A*B - B^2)*b^2*c^2 + 2*(A*B - 2*B^2)*a*b*c*d - 2*(B^2*b^2*c*d - (A*B - 2*B^2)*a*b*d^2)*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^5*c^2 - 2*a*b^4*c*d + a^2*b^3*d^2)*g^3*x^2 + 2*(a*b^4*c^2 - 2*a^2*b^3*c*d + a^3*b^2*d^2)*g^3*x + (a^2*b^3*c^2 - 2*a^3*b^2*c*d + a^4*b*d^2)*g^3)","A",0
217,1,721,0,0.463355," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^4,x, algorithm=""fricas"")","-\frac{{\left(9 \, A^{2} - 12 \, A B + 8 \, B^{2}\right)} b^{3} c^{3} - 27 \, {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a b^{2} c^{2} d + 27 \, {\left(A^{2} - 4 \, A B + 8 \, B^{2}\right)} a^{2} b c d^{2} - {\left(9 \, A^{2} - 66 \, A B + 170 \, B^{2}\right)} a^{3} d^{3} - 12 \, {\left({\left(3 \, A B - 11 \, B^{2}\right)} b^{3} c d^{2} - {\left(3 \, A B - 11 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 9 \, {\left(B^{2} b^{3} d^{3} x^{3} + 3 \, B^{2} a b^{2} d^{3} x^{2} + 3 \, B^{2} a^{2} b d^{3} x + B^{2} b^{3} c^{3} - 3 \, B^{2} a b^{2} c^{2} d + 3 \, B^{2} a^{2} b c d^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 6 \, {\left({\left(3 \, A B - 5 \, B^{2}\right)} b^{3} c^{2} d - 18 \, {\left(A B - 3 \, B^{2}\right)} a b^{2} c d^{2} + {\left(15 \, A B - 49 \, B^{2}\right)} a^{2} b d^{3}\right)} x + 6 \, {\left({\left(3 \, A B - 11 \, B^{2}\right)} b^{3} d^{3} x^{3} + {\left(3 \, A B - 2 \, B^{2}\right)} b^{3} c^{3} - 9 \, {\left(A B - B^{2}\right)} a b^{2} c^{2} d + 9 \, {\left(A B - 2 \, B^{2}\right)} a^{2} b c d^{2} - 3 \, {\left(2 \, B^{2} b^{3} c d^{2} - 3 \, {\left(A B - 3 \, B^{2}\right)} a b^{2} d^{3}\right)} x^{2} + 3 \, {\left(B^{2} b^{3} c^{2} d - 6 \, B^{2} a b^{2} c d^{2} + 3 \, {\left(A B - 2 \, B^{2}\right)} a^{2} b d^{3}\right)} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{27 \, {\left({\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)} g^{4} x^{3} + 3 \, {\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)} g^{4} x^{2} + 3 \, {\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)} g^{4} x + {\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)} g^{4}\right)}}"," ",0,"-1/27*((9*A^2 - 12*A*B + 8*B^2)*b^3*c^3 - 27*(A^2 - 2*A*B + 2*B^2)*a*b^2*c^2*d + 27*(A^2 - 4*A*B + 8*B^2)*a^2*b*c*d^2 - (9*A^2 - 66*A*B + 170*B^2)*a^3*d^3 - 12*((3*A*B - 11*B^2)*b^3*c*d^2 - (3*A*B - 11*B^2)*a*b^2*d^3)*x^2 + 9*(B^2*b^3*d^3*x^3 + 3*B^2*a*b^2*d^3*x^2 + 3*B^2*a^2*b*d^3*x + B^2*b^3*c^3 - 3*B^2*a*b^2*c^2*d + 3*B^2*a^2*b*c*d^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 6*((3*A*B - 5*B^2)*b^3*c^2*d - 18*(A*B - 3*B^2)*a*b^2*c*d^2 + (15*A*B - 49*B^2)*a^2*b*d^3)*x + 6*((3*A*B - 11*B^2)*b^3*d^3*x^3 + (3*A*B - 2*B^2)*b^3*c^3 - 9*(A*B - B^2)*a*b^2*c^2*d + 9*(A*B - 2*B^2)*a^2*b*c*d^2 - 3*(2*B^2*b^3*c*d^2 - 3*(A*B - 3*B^2)*a*b^2*d^3)*x^2 + 3*(B^2*b^3*c^2*d - 6*B^2*a*b^2*c*d^2 + 3*(A*B - 2*B^2)*a^2*b*d^3)*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((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)*g^4*x^3 + 3*(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)*g^4*x^2 + 3*(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)*g^4*x + (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)*g^4)","A",0
218,1,1088,0,0.489687," ","integrate((A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2/(b*g*x+a*g)^5,x, algorithm=""fricas"")","-\frac{9 \, {\left(2 \, A^{2} - 2 \, A B + B^{2}\right)} b^{4} c^{4} - 8 \, {\left(9 \, A^{2} - 12 \, A B + 8 \, B^{2}\right)} a b^{3} c^{3} d + 108 \, {\left(A^{2} - 2 \, A B + 2 \, B^{2}\right)} a^{2} b^{2} c^{2} d^{2} - 72 \, {\left(A^{2} - 4 \, A B + 8 \, B^{2}\right)} a^{3} b c d^{3} + {\left(18 \, A^{2} - 150 \, A B + 415 \, B^{2}\right)} a^{4} d^{4} + 12 \, {\left({\left(6 \, A B - 25 \, B^{2}\right)} b^{4} c d^{3} - {\left(6 \, A B - 25 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} - 6 \, {\left({\left(6 \, A B - 13 \, B^{2}\right)} b^{4} c^{2} d^{2} - 16 \, {\left(3 \, A B - 11 \, B^{2}\right)} a b^{3} c d^{3} + {\left(42 \, A B - 163 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 18 \, {\left(B^{2} b^{4} d^{4} x^{4} + 4 \, B^{2} a b^{3} d^{4} x^{3} + 6 \, B^{2} a^{2} b^{2} d^{4} x^{2} + 4 \, B^{2} a^{3} b d^{4} x - B^{2} b^{4} c^{4} + 4 \, B^{2} a b^{3} c^{3} d - 6 \, B^{2} a^{2} b^{2} c^{2} d^{2} + 4 \, B^{2} a^{3} b c d^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 4 \, {\left({\left(6 \, A B - 7 \, B^{2}\right)} b^{4} c^{3} d - 12 \, {\left(3 \, A B - 5 \, B^{2}\right)} a b^{3} c^{2} d^{2} + 108 \, {\left(A B - 3 \, B^{2}\right)} a^{2} b^{2} c d^{3} - {\left(78 \, A B - 271 \, B^{2}\right)} a^{3} b d^{4}\right)} x - 6 \, {\left({\left(6 \, A B - 25 \, B^{2}\right)} b^{4} d^{4} x^{4} - 3 \, {\left(2 \, A B - B^{2}\right)} b^{4} c^{4} + 8 \, {\left(3 \, A B - 2 \, B^{2}\right)} a b^{3} c^{3} d - 36 \, {\left(A B - B^{2}\right)} a^{2} b^{2} c^{2} d^{2} + 24 \, {\left(A B - 2 \, B^{2}\right)} a^{3} b c d^{3} - 4 \, {\left(3 \, B^{2} b^{4} c d^{3} - 2 \, {\left(3 \, A B - 11 \, B^{2}\right)} a b^{3} d^{4}\right)} x^{3} + 6 \, {\left(B^{2} b^{4} c^{2} d^{2} - 8 \, B^{2} a b^{3} c d^{3} + 6 \, {\left(A B - 3 \, B^{2}\right)} a^{2} b^{2} d^{4}\right)} x^{2} - 4 \, {\left(B^{2} b^{4} c^{3} d - 6 \, B^{2} a b^{3} c^{2} d^{2} + 18 \, B^{2} a^{2} b^{2} c d^{3} - 6 \, {\left(A B - 2 \, B^{2}\right)} a^{3} b d^{4}\right)} x\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{72 \, {\left({\left(b^{9} c^{4} - 4 \, a b^{8} c^{3} d + 6 \, a^{2} b^{7} c^{2} d^{2} - 4 \, a^{3} b^{6} c d^{3} + a^{4} b^{5} d^{4}\right)} g^{5} x^{4} + 4 \, {\left(a b^{8} c^{4} - 4 \, a^{2} b^{7} c^{3} d + 6 \, a^{3} b^{6} c^{2} d^{2} - 4 \, a^{4} b^{5} c d^{3} + a^{5} b^{4} d^{4}\right)} g^{5} x^{3} + 6 \, {\left(a^{2} b^{7} c^{4} - 4 \, a^{3} b^{6} c^{3} d + 6 \, a^{4} b^{5} c^{2} d^{2} - 4 \, a^{5} b^{4} c d^{3} + a^{6} b^{3} d^{4}\right)} g^{5} x^{2} + 4 \, {\left(a^{3} b^{6} c^{4} - 4 \, a^{4} b^{5} c^{3} d + 6 \, a^{5} b^{4} c^{2} d^{2} - 4 \, a^{6} b^{3} c d^{3} + a^{7} b^{2} d^{4}\right)} g^{5} x + {\left(a^{4} b^{5} c^{4} - 4 \, a^{5} b^{4} c^{3} d + 6 \, a^{6} b^{3} c^{2} d^{2} - 4 \, a^{7} b^{2} c d^{3} + a^{8} b d^{4}\right)} g^{5}\right)}}"," ",0,"-1/72*(9*(2*A^2 - 2*A*B + B^2)*b^4*c^4 - 8*(9*A^2 - 12*A*B + 8*B^2)*a*b^3*c^3*d + 108*(A^2 - 2*A*B + 2*B^2)*a^2*b^2*c^2*d^2 - 72*(A^2 - 4*A*B + 8*B^2)*a^3*b*c*d^3 + (18*A^2 - 150*A*B + 415*B^2)*a^4*d^4 + 12*((6*A*B - 25*B^2)*b^4*c*d^3 - (6*A*B - 25*B^2)*a*b^3*d^4)*x^3 - 6*((6*A*B - 13*B^2)*b^4*c^2*d^2 - 16*(3*A*B - 11*B^2)*a*b^3*c*d^3 + (42*A*B - 163*B^2)*a^2*b^2*d^4)*x^2 - 18*(B^2*b^4*d^4*x^4 + 4*B^2*a*b^3*d^4*x^3 + 6*B^2*a^2*b^2*d^4*x^2 + 4*B^2*a^3*b*d^4*x - B^2*b^4*c^4 + 4*B^2*a*b^3*c^3*d - 6*B^2*a^2*b^2*c^2*d^2 + 4*B^2*a^3*b*c*d^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 4*((6*A*B - 7*B^2)*b^4*c^3*d - 12*(3*A*B - 5*B^2)*a*b^3*c^2*d^2 + 108*(A*B - 3*B^2)*a^2*b^2*c*d^3 - (78*A*B - 271*B^2)*a^3*b*d^4)*x - 6*((6*A*B - 25*B^2)*b^4*d^4*x^4 - 3*(2*A*B - B^2)*b^4*c^4 + 8*(3*A*B - 2*B^2)*a*b^3*c^3*d - 36*(A*B - B^2)*a^2*b^2*c^2*d^2 + 24*(A*B - 2*B^2)*a^3*b*c*d^3 - 4*(3*B^2*b^4*c*d^3 - 2*(3*A*B - 11*B^2)*a*b^3*d^4)*x^3 + 6*(B^2*b^4*c^2*d^2 - 8*B^2*a*b^3*c*d^3 + 6*(A*B - 3*B^2)*a^2*b^2*d^4)*x^2 - 4*(B^2*b^4*c^3*d - 6*B^2*a*b^3*c^2*d^2 + 18*B^2*a^2*b^2*c*d^3 - 6*(A*B - 2*B^2)*a^3*b*d^4)*x)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)))/((b^9*c^4 - 4*a*b^8*c^3*d + 6*a^2*b^7*c^2*d^2 - 4*a^3*b^6*c*d^3 + a^4*b^5*d^4)*g^5*x^4 + 4*(a*b^8*c^4 - 4*a^2*b^7*c^3*d + 6*a^3*b^6*c^2*d^2 - 4*a^4*b^5*c*d^3 + a^5*b^4*d^4)*g^5*x^3 + 6*(a^2*b^7*c^4 - 4*a^3*b^6*c^3*d + 6*a^4*b^5*c^2*d^2 - 4*a^5*b^4*c*d^3 + a^6*b^3*d^4)*g^5*x^2 + 4*(a^3*b^6*c^4 - 4*a^4*b^5*c^3*d + 6*a^5*b^4*c^2*d^2 - 4*a^6*b^3*c*d^3 + a^7*b^2*d^4)*g^5*x + (a^4*b^5*c^4 - 4*a^5*b^4*c^3*d + 6*a^6*b^3*c^2*d^2 - 4*a^7*b^2*c*d^3 + a^8*b*d^4)*g^5)","B",0
219,0,0,0,0.434017," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A), x)","F",0
220,0,0,0,0.435041," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A}, x\right)"," ",0,"integral((b*g*x + a*g)/(B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A), x)","F",0
221,0,0,0,0.464427," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b g x + A a g + {\left(B b g x + B a g\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b*g*x + A*a*g + (B*b*g*x + B*a*g)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
222,0,0,0,0.424795," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b^{2} g^{2} x^{2} + 2 \, A a b g^{2} x + A a^{2} g^{2} + {\left(B b^{2} g^{2} x^{2} + 2 \, B a b g^{2} x + B a^{2} g^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b^2*g^2*x^2 + 2*A*a*b*g^2*x + A*a^2*g^2 + (B*b^2*g^2*x^2 + 2*B*a*b*g^2*x + B*a^2*g^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
223,0,0,0,0.495488," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)^2/(b*x+a)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A b^{3} g^{3} x^{3} + 3 \, A a b^{2} g^{3} x^{2} + 3 \, A a^{2} b g^{3} x + A a^{3} g^{3} + {\left(B b^{3} g^{3} x^{3} + 3 \, B a b^{2} g^{3} x^{2} + 3 \, B a^{2} b g^{3} x + B a^{3} g^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A*b^3*g^3*x^3 + 3*A*a*b^2*g^3*x^2 + 3*A*a^2*b*g^3*x + A*a^3*g^3 + (B*b^3*g^3*x^3 + 3*B*a*b^2*g^3*x^2 + 3*B*a^2*b*g^3*x + B*a^3*g^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
224,0,0,0,0.466268," ","integrate((b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} g^{2} x^{2} + 2 \, a b g^{2} x + a^{2} g^{2}}{B^{2} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, A B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((b^2*g^2*x^2 + 2*a*b*g^2*x + a^2*g^2)/(B^2*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*A*B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A^2), x)","F",0
225,0,0,0,0.458152," ","integrate((b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b g x + a g}{B^{2} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, A B \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((b*g*x + a*g)/(B^2*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*A*B*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2)) + A^2), x)","F",0
226,0,0,0,0.462318," ","integrate(1/(b*g*x+a*g)/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b g x + A^{2} a g + {\left(B^{2} b g x + B^{2} a g\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b g x + A B a g\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b*g*x + A^2*a*g + (B^2*b*g*x + B^2*a*g)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b*g*x + A*B*a*g)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
227,0,0,0,0.457099," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b^{2} g^{2} x^{2} + 2 \, A^{2} a b g^{2} x + A^{2} a^{2} g^{2} + {\left(B^{2} b^{2} g^{2} x^{2} + 2 \, B^{2} a b g^{2} x + B^{2} a^{2} g^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b^{2} g^{2} x^{2} + 2 \, A B a b g^{2} x + A B a^{2} g^{2}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b^2*g^2*x^2 + 2*A^2*a*b*g^2*x + A^2*a^2*g^2 + (B^2*b^2*g^2*x^2 + 2*B^2*a*b*g^2*x + B^2*a^2*g^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b^2*g^2*x^2 + 2*A*B*a*b*g^2*x + A*B*a^2*g^2)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
228,0,0,0,0.448429," ","integrate(1/(b*g*x+a*g)^3/(A+B*log(e*(d*x+c)^2/(b*x+a)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} b^{3} g^{3} x^{3} + 3 \, A^{2} a b^{2} g^{3} x^{2} + 3 \, A^{2} a^{2} b g^{3} x + A^{2} a^{3} g^{3} + {\left(B^{2} b^{3} g^{3} x^{3} + 3 \, B^{2} a b^{2} g^{3} x^{2} + 3 \, B^{2} a^{2} b g^{3} x + B^{2} a^{3} g^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)^{2} + 2 \, {\left(A B b^{3} g^{3} x^{3} + 3 \, A B a b^{2} g^{3} x^{2} + 3 \, A B a^{2} b g^{3} x + A B a^{3} g^{3}\right)} \log\left(\frac{d^{2} e x^{2} + 2 \, c d e x + c^{2} e}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*b^3*g^3*x^3 + 3*A^2*a*b^2*g^3*x^2 + 3*A^2*a^2*b*g^3*x + A^2*a^3*g^3 + (B^2*b^3*g^3*x^3 + 3*B^2*a*b^2*g^3*x^2 + 3*B^2*a^2*b*g^3*x + B^2*a^3*g^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))^2 + 2*(A*B*b^3*g^3*x^3 + 3*A*B*a*b^2*g^3*x^2 + 3*A*B*a^2*b*g^3*x + A*B*a^3*g^3)*log((d^2*e*x^2 + 2*c*d*e*x + c^2*e)/(b^2*x^2 + 2*a*b*x + a^2))), x)","F",0
229,1,62,0,0.434704," ","integrate(1/(b*g*x+a*g)^2/(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{e^{\left(\frac{B \log\left(e\right) + A}{B n}\right)} \operatorname{log\_integral}\left(\frac{{\left(d x + c\right)} e^{\left(-\frac{B \log\left(e\right) + A}{B n}\right)}}{b x + a}\right)}{{\left(B b c - B a d\right)} g^{2} n}"," ",0,"e^((B*log(e) + A)/(B*n))*log_integral((d*x + c)*e^(-(B*log(e) + A)/(B*n))/(b*x + a))/((B*b*c - B*a*d)*g^2*n)","A",0
230,1,636,0,1.063602," ","integrate((g*x+f)^4*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} g^{4} x^{5} + 3 \, {\left(20 \, A b^{5} d^{5} f g^{3} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{4}\right)} x^{4} + 4 \, {\left(30 \, A b^{5} d^{5} f^{2} g^{2} - 5 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f g^{3} + {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} g^{4}\right)} x^{3} + 6 \, {\left(20 \, A b^{5} d^{5} f^{3} g - 10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{2} g^{2} + 5 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f g^{3} - {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} g^{4}\right)} x^{2} + 12 \, {\left(5 \, A b^{5} d^{5} f^{4} - 10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{3} g + 10 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f^{2} g^{2} - 5 \, {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} f g^{3} + {\left(B b^{5} c^{4} d - B a^{4} b d^{5}\right)} g^{4}\right)} x + 12 \, {\left(5 \, B a b^{4} d^{5} f^{4} - 10 \, B a^{2} b^{3} d^{5} f^{3} g + 10 \, B a^{3} b^{2} d^{5} f^{2} g^{2} - 5 \, B a^{4} b d^{5} f g^{3} + B a^{5} d^{5} g^{4}\right)} \log\left(b x + a\right) - 12 \, {\left(5 \, B b^{5} c d^{4} f^{4} - 10 \, B b^{5} c^{2} d^{3} f^{3} g + 10 \, B b^{5} c^{3} d^{2} f^{2} g^{2} - 5 \, B b^{5} c^{4} d f g^{3} + B b^{5} c^{5} g^{4}\right)} \log\left(d x + c\right) + 12 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B b^{5} d^{5} f g^{3} x^{4} + 10 \, B b^{5} d^{5} f^{2} g^{2} x^{3} + 10 \, B b^{5} d^{5} f^{3} g x^{2} + 5 \, B b^{5} d^{5} f^{4} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{60 \, b^{5} d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*g^4*x^5 + 3*(20*A*b^5*d^5*f*g^3 - (B*b^5*c*d^4 - B*a*b^4*d^5)*g^4)*x^4 + 4*(30*A*b^5*d^5*f^2*g^2 - 5*(B*b^5*c*d^4 - B*a*b^4*d^5)*f*g^3 + (B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*g^4)*x^3 + 6*(20*A*b^5*d^5*f^3*g - 10*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^2*g^2 + 5*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f*g^3 - (B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*g^4)*x^2 + 12*(5*A*b^5*d^5*f^4 - 10*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^3*g + 10*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f^2*g^2 - 5*(B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*f*g^3 + (B*b^5*c^4*d - B*a^4*b*d^5)*g^4)*x + 12*(5*B*a*b^4*d^5*f^4 - 10*B*a^2*b^3*d^5*f^3*g + 10*B*a^3*b^2*d^5*f^2*g^2 - 5*B*a^4*b*d^5*f*g^3 + B*a^5*d^5*g^4)*log(b*x + a) - 12*(5*B*b^5*c*d^4*f^4 - 10*B*b^5*c^2*d^3*f^3*g + 10*B*b^5*c^3*d^2*f^2*g^2 - 5*B*b^5*c^4*d*f*g^3 + B*b^5*c^5*g^4)*log(d*x + c) + 12*(B*b^5*d^5*g^4*x^5 + 5*B*b^5*d^5*f*g^3*x^4 + 10*B*b^5*d^5*f^2*g^2*x^3 + 10*B*b^5*d^5*f^3*g*x^2 + 5*B*b^5*d^5*f^4*x)*log((b*e*x + a*e)/(d*x + c)))/(b^5*d^5)","A",0
231,1,445,0,0.664490," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} g^{3} x^{4} + 2 \, {\left(12 \, A b^{4} d^{4} f g^{2} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{3}\right)} x^{3} + 3 \, {\left(12 \, A b^{4} d^{4} f^{2} g - 4 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f g^{2} + {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} g^{3}\right)} x^{2} + 6 \, {\left(4 \, A b^{4} d^{4} f^{3} - 6 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f^{2} g + 4 \, {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} f g^{2} - {\left(B b^{4} c^{3} d - B a^{3} b d^{4}\right)} g^{3}\right)} x + 6 \, {\left(4 \, B a b^{3} d^{4} f^{3} - 6 \, B a^{2} b^{2} d^{4} f^{2} g + 4 \, B a^{3} b d^{4} f g^{2} - B a^{4} d^{4} g^{3}\right)} \log\left(b x + a\right) - 6 \, {\left(4 \, B b^{4} c d^{3} f^{3} - 6 \, B b^{4} c^{2} d^{2} f^{2} g + 4 \, B b^{4} c^{3} d f g^{2} - B b^{4} c^{4} g^{3}\right)} \log\left(d x + c\right) + 6 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B b^{4} d^{4} f g^{2} x^{3} + 6 \, B b^{4} d^{4} f^{2} g x^{2} + 4 \, B b^{4} d^{4} f^{3} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{24 \, b^{4} d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*g^3*x^4 + 2*(12*A*b^4*d^4*f*g^2 - (B*b^4*c*d^3 - B*a*b^3*d^4)*g^3)*x^3 + 3*(12*A*b^4*d^4*f^2*g - 4*(B*b^4*c*d^3 - B*a*b^3*d^4)*f*g^2 + (B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*g^3)*x^2 + 6*(4*A*b^4*d^4*f^3 - 6*(B*b^4*c*d^3 - B*a*b^3*d^4)*f^2*g + 4*(B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*f*g^2 - (B*b^4*c^3*d - B*a^3*b*d^4)*g^3)*x + 6*(4*B*a*b^3*d^4*f^3 - 6*B*a^2*b^2*d^4*f^2*g + 4*B*a^3*b*d^4*f*g^2 - B*a^4*d^4*g^3)*log(b*x + a) - 6*(4*B*b^4*c*d^3*f^3 - 6*B*b^4*c^2*d^2*f^2*g + 4*B*b^4*c^3*d*f*g^2 - B*b^4*c^4*g^3)*log(d*x + c) + 6*(B*b^4*d^4*g^3*x^4 + 4*B*b^4*d^4*f*g^2*x^3 + 6*B*b^4*d^4*f^2*g*x^2 + 4*B*b^4*d^4*f^3*x)*log((b*e*x + a*e)/(d*x + c)))/(b^4*d^4)","B",0
232,1,280,0,0.537214," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} g^{2} x^{3} + {\left(6 \, A b^{3} d^{3} f g - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g^{2}\right)} x^{2} + 2 \, {\left(3 \, A b^{3} d^{3} f^{2} - 3 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} f g + {\left(B b^{3} c^{2} d - B a^{2} b d^{3}\right)} g^{2}\right)} x + 2 \, {\left(3 \, B a b^{2} d^{3} f^{2} - 3 \, B a^{2} b d^{3} f g + B a^{3} d^{3} g^{2}\right)} \log\left(b x + a\right) - 2 \, {\left(3 \, B b^{3} c d^{2} f^{2} - 3 \, B b^{3} c^{2} d f g + B b^{3} c^{3} g^{2}\right)} \log\left(d x + c\right) + 2 \, {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B b^{3} d^{3} f g x^{2} + 3 \, B b^{3} d^{3} f^{2} x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{6 \, b^{3} d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*g^2*x^3 + (6*A*b^3*d^3*f*g - (B*b^3*c*d^2 - B*a*b^2*d^3)*g^2)*x^2 + 2*(3*A*b^3*d^3*f^2 - 3*(B*b^3*c*d^2 - B*a*b^2*d^3)*f*g + (B*b^3*c^2*d - B*a^2*b*d^3)*g^2)*x + 2*(3*B*a*b^2*d^3*f^2 - 3*B*a^2*b*d^3*f*g + B*a^3*d^3*g^2)*log(b*x + a) - 2*(3*B*b^3*c*d^2*f^2 - 3*B*b^3*c^2*d*f*g + B*b^3*c^3*g^2)*log(d*x + c) + 2*(B*b^3*d^3*g^2*x^3 + 3*B*b^3*d^3*f*g*x^2 + 3*B*b^3*d^3*f^2*x)*log((b*e*x + a*e)/(d*x + c)))/(b^3*d^3)","A",0
233,1,150,0,0.508940," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + {\left(2 \, A b^{2} d^{2} f - {\left(B b^{2} c d - B a b d^{2}\right)} g\right)} x + {\left(2 \, B a b d^{2} f - B a^{2} d^{2} g\right)} \log\left(b x + a\right) - {\left(2 \, B b^{2} c d f - B b^{2} c^{2} g\right)} \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B b^{2} d^{2} f x\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{2 \, b^{2} d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + (2*A*b^2*d^2*f - (B*b^2*c*d - B*a*b*d^2)*g)*x + (2*B*a*b*d^2*f - B*a^2*d^2*g)*log(b*x + a) - (2*B*b^2*c*d*f - B*b^2*c^2*g)*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*b^2*d^2*f*x)*log((b*e*x + a*e)/(d*x + c)))/(b^2*d^2)","A",0
234,1,56,0,0.471310," ","integrate(A+B*log(e*(b*x+a)/(d*x+c)),x, algorithm=""fricas"")","\frac{B b d x \log\left(\frac{b e x + a e}{d x + c}\right) + A b d x + B a d \log\left(b x + a\right) - B b c \log\left(d x + c\right)}{b d}"," ",0,"(B*b*d*x*log((b*e*x + a*e)/(d*x + c)) + A*b*d*x + B*a*d*log(b*x + a) - B*b*c*log(d*x + c))/(b*d)","A",0
235,0,0,0,0.441315," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}{g x + f}, x\right)"," ",0,"integral((B*log((b*e*x + a*e)/(d*x + c)) + A)/(g*x + f), x)","F",0
236,1,255,0,5.794593," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^2,x, algorithm=""fricas"")","-\frac{A b d f^{2} + A a c g^{2} - {\left(A b c + A a d\right)} f g - {\left(B b d f^{2} - B b c f g + {\left(B b d f g - B b c g^{2}\right)} x\right)} \log\left(b x + a\right) + {\left(B b d f^{2} - B a d f g + {\left(B b d f g - B a d g^{2}\right)} x\right)} \log\left(d x + c\right) - {\left({\left(B b c - B a d\right)} g^{2} x + {\left(B b c - B a d\right)} f g\right)} \log\left(g x + f\right) + {\left(B b d f^{2} + B a c g^{2} - {\left(B b c + B a d\right)} f g\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{b d f^{3} g + a c f g^{3} - {\left(b c + a d\right)} f^{2} g^{2} + {\left(b d f^{2} g^{2} + a c g^{4} - {\left(b c + a d\right)} f g^{3}\right)} x}"," ",0,"-(A*b*d*f^2 + A*a*c*g^2 - (A*b*c + A*a*d)*f*g - (B*b*d*f^2 - B*b*c*f*g + (B*b*d*f*g - B*b*c*g^2)*x)*log(b*x + a) + (B*b*d*f^2 - B*a*d*f*g + (B*b*d*f*g - B*a*d*g^2)*x)*log(d*x + c) - ((B*b*c - B*a*d)*g^2*x + (B*b*c - B*a*d)*f*g)*log(g*x + f) + (B*b*d*f^2 + B*a*c*g^2 - (B*b*c + B*a*d)*f*g)*log((b*e*x + a*e)/(d*x + c)))/(b*d*f^3*g + a*c*f*g^3 - (b*c + a*d)*f^2*g^2 + (b*d*f^2*g^2 + a*c*g^4 - (b*c + a*d)*f*g^3)*x)","B",0
237,1,1017,0,76.739286," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^3,x, algorithm=""fricas"")","-\frac{A b^{2} d^{2} f^{4} + A a^{2} c^{2} g^{4} - {\left({\left(2 \, A - B\right)} b^{2} c d + {\left(2 \, A + B\right)} a b d^{2}\right)} f^{3} g + {\left({\left(A - B\right)} b^{2} c^{2} + 4 \, A a b c d + {\left(A + B\right)} a^{2} d^{2}\right)} f^{2} g^{2} - {\left({\left(2 \, A - B\right)} a b c^{2} + {\left(2 \, A + B\right)} a^{2} c d\right)} f g^{3} + {\left({\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3} + {\left(B a b c^{2} - B a^{2} c d\right)} g^{4}\right)} x - {\left(B b^{2} d^{2} f^{4} - 2 \, B b^{2} c d f^{3} g + B b^{2} c^{2} f^{2} g^{2} + {\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B b^{2} c d f g^{3} + B b^{2} c^{2} g^{4}\right)} x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B b^{2} c d f^{2} g^{2} + B b^{2} c^{2} f g^{3}\right)} x\right)} \log\left(b x + a\right) + {\left(B b^{2} d^{2} f^{4} - 2 \, B a b d^{2} f^{3} g + B a^{2} d^{2} f^{2} g^{2} + {\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B a b d^{2} f g^{3} + B a^{2} d^{2} g^{4}\right)} x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B a b d^{2} f^{2} g^{2} + B a^{2} d^{2} f g^{3}\right)} x\right)} \log\left(d x + c\right) - {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{3} g - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f^{2} g^{2} + {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f g^{3} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g^{4}\right)} x^{2} + 2 \, {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3}\right)} x\right)} \log\left(g x + f\right) + {\left(B b^{2} d^{2} f^{4} + B a^{2} c^{2} g^{4} - 2 \, {\left(B b^{2} c d + B a b d^{2}\right)} f^{3} g + {\left(B b^{2} c^{2} + 4 \, B a b c d + B a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} f g^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}{2 \, {\left(b^{2} d^{2} f^{6} g + a^{2} c^{2} f^{2} g^{5} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{5} g^{2} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{4} g^{3} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{3} g^{4} + {\left(b^{2} d^{2} f^{4} g^{3} + a^{2} c^{2} g^{7} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{3} g^{4} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{2} g^{5} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f g^{6}\right)} x^{2} + 2 \, {\left(b^{2} d^{2} f^{5} g^{2} + a^{2} c^{2} f g^{6} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{4} g^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{3} g^{4} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{2} g^{5}\right)} x\right)}}"," ",0,"-1/2*(A*b^2*d^2*f^4 + A*a^2*c^2*g^4 - ((2*A - B)*b^2*c*d + (2*A + B)*a*b*d^2)*f^3*g + ((A - B)*b^2*c^2 + 4*A*a*b*c*d + (A + B)*a^2*d^2)*f^2*g^2 - ((2*A - B)*a*b*c^2 + (2*A + B)*a^2*c*d)*f*g^3 + ((B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3 + (B*a*b*c^2 - B*a^2*c*d)*g^4)*x - (B*b^2*d^2*f^4 - 2*B*b^2*c*d*f^3*g + B*b^2*c^2*f^2*g^2 + (B*b^2*d^2*f^2*g^2 - 2*B*b^2*c*d*f*g^3 + B*b^2*c^2*g^4)*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*b^2*c*d*f^2*g^2 + B*b^2*c^2*f*g^3)*x)*log(b*x + a) + (B*b^2*d^2*f^4 - 2*B*a*b*d^2*f^3*g + B*a^2*d^2*f^2*g^2 + (B*b^2*d^2*f^2*g^2 - 2*B*a*b*d^2*f*g^3 + B*a^2*d^2*g^4)*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*a*b*d^2*f^2*g^2 + B*a^2*d^2*f*g^3)*x)*log(d*x + c) - (2*(B*b^2*c*d - B*a*b*d^2)*f^3*g - (B*b^2*c^2 - B*a^2*d^2)*f^2*g^2 + (2*(B*b^2*c*d - B*a*b*d^2)*f*g^3 - (B*b^2*c^2 - B*a^2*d^2)*g^4)*x^2 + 2*(2*(B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3)*x)*log(g*x + f) + (B*b^2*d^2*f^4 + B*a^2*c^2*g^4 - 2*(B*b^2*c*d + B*a*b*d^2)*f^3*g + (B*b^2*c^2 + 4*B*a*b*c*d + B*a^2*d^2)*f^2*g^2 - 2*(B*a*b*c^2 + B*a^2*c*d)*f*g^3)*log((b*e*x + a*e)/(d*x + c)))/(b^2*d^2*f^6*g + a^2*c^2*f^2*g^5 - 2*(b^2*c*d + a*b*d^2)*f^5*g^2 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^4*g^3 - 2*(a*b*c^2 + a^2*c*d)*f^3*g^4 + (b^2*d^2*f^4*g^3 + a^2*c^2*g^7 - 2*(b^2*c*d + a*b*d^2)*f^3*g^4 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^2*g^5 - 2*(a*b*c^2 + a^2*c*d)*f*g^6)*x^2 + 2*(b^2*d^2*f^5*g^2 + a^2*c^2*f*g^6 - 2*(b^2*c*d + a*b*d^2)*f^4*g^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^3*g^4 - 2*(a*b*c^2 + a^2*c*d)*f^2*g^5)*x)","B",0
238,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))/(g*x+f)^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,0,0,0,0.645512," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
241,0,0,0,0.684146," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
242,0,0,0,0.936143," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(\frac{b e x + a e}{d x + c}\right), x\right)"," ",0,"integral(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g*x + A*B*f)*log((b*e*x + a*e)/(d*x + c)), x)","F",0
243,0,0,0,0.862612," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}, x\right)"," ",0,"integral(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2, x)","F",0
244,0,0,0,0.827232," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{g x + f}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(g*x + f), x)","F",0
245,0,0,0,0.901835," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
246,0,0,0,0.688631," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
247,0,0,0,0.656487," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
248,0,0,0,0.722948," ","integrate((A+B*log(e*(b*x+a)/(d*x+c)))^2/(g*x+f)^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}{g^{5} x^{5} + 5 \, f g^{4} x^{4} + 10 \, f^{2} g^{3} x^{3} + 10 \, f^{3} g^{2} x^{2} + 5 \, f^{4} g x + f^{5}}, x\right)"," ",0,"integral((B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2)/(g^5*x^5 + 5*f*g^4*x^4 + 10*f^2*g^3*x^3 + 10*f^3*g^2*x^2 + 5*f^4*g*x + f^5), x)","F",0
249,1,29,0,0.677286," ","integrate(log((1+x)/(-1+x))/x^2,x, algorithm=""fricas"")","-\frac{x \log\left(x^{2} - 1\right) - 2 \, x \log\left(x\right) + \log\left(\frac{x + 1}{x - 1}\right)}{x}"," ",0,"-(x*log(x^2 - 1) - 2*x*log(x) + log((x + 1)/(x - 1)))/x","A",0
250,0,0,0,0.719741," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B*log((b*e*x + a*e)/(d*x + c)) + A), x)","F",0
251,0,0,0,0.810167," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}, x\right)"," ",0,"integral((g*x + f)/(B*log((b*e*x + a*e)/(d*x + c)) + A), x)","F",0
252,0,0,0,0.697331," ","integrate(1/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B \log\left(\frac{b e x + a e}{d x + c}\right) + A}, x\right)"," ",0,"integral(1/(B*log((b*e*x + a*e)/(d*x + c)) + A), x)","F",0
253,0,0,0,0.637054," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g x + A f + {\left(B g x + B f\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A*g*x + A*f + (B*g*x + B*f)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
254,0,0,0,0.698359," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{2} x^{2} + 2 \, A f g x + A f^{2} + {\left(B g^{2} x^{2} + 2 \, B f g x + B f^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A*g^2*x^2 + 2*A*f*g*x + A*f^2 + (B*g^2*x^2 + 2*B*f*g*x + B*f^2)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
255,0,0,0,0.570847," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)/(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{3} x^{3} + 3 \, A f g^{2} x^{2} + 3 \, A f^{2} g x + A f^{3} + {\left(B g^{3} x^{3} + 3 \, B f g^{2} x^{2} + 3 \, B f^{2} g x + B f^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A*g^3*x^3 + 3*A*f*g^2*x^2 + 3*A*f^2*g*x + A*f^3 + (B*g^3*x^3 + 3*B*f*g^2*x^2 + 3*B*f^2*g*x + B*f^3)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
256,0,0,0,0.706977," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2), x)","F",0
257,0,0,0,0.789845," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}, x\right)"," ",0,"integral((g*x + f)/(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2), x)","F",0
258,0,0,0,0.698740," ","integrate(1/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B^{2} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, A B \log\left(\frac{b e x + a e}{d x + c}\right) + A^{2}}, x\right)"," ",0,"integral(1/(B^2*log((b*e*x + a*e)/(d*x + c))^2 + 2*A*B*log((b*e*x + a*e)/(d*x + c)) + A^2), x)","F",0
259,0,0,0,0.600108," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g*x + A*B*f)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
260,0,0,0,0.729970," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
261,0,0,0,0.724519," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)/(d*x+c)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(\frac{b e x + a e}{d x + c}\right)}, x\right)"," ",0,"integral(1/(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log((b*e*x + a*e)/(d*x + c))^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log((b*e*x + a*e)/(d*x + c))), x)","F",0
262,1,660,0,1.764772," ","integrate((g*x+f)^4*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{6 \, A b^{5} d^{5} g^{4} x^{5} + 3 \, {\left(10 \, A b^{5} d^{5} f g^{3} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{4}\right)} x^{4} + 4 \, {\left(15 \, A b^{5} d^{5} f^{2} g^{2} - 5 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f g^{3} + {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} g^{4}\right)} x^{3} + 6 \, {\left(10 \, A b^{5} d^{5} f^{3} g - 10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{2} g^{2} + 5 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f g^{3} - {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} g^{4}\right)} x^{2} + 6 \, {\left(5 \, A b^{5} d^{5} f^{4} - 20 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} f^{3} g + 20 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} f^{2} g^{2} - 10 \, {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} f g^{3} + 2 \, {\left(B b^{5} c^{4} d - B a^{4} b d^{5}\right)} g^{4}\right)} x + 12 \, {\left(5 \, B a b^{4} d^{5} f^{4} - 10 \, B a^{2} b^{3} d^{5} f^{3} g + 10 \, B a^{3} b^{2} d^{5} f^{2} g^{2} - 5 \, B a^{4} b d^{5} f g^{3} + B a^{5} d^{5} g^{4}\right)} \log\left(b x + a\right) - 12 \, {\left(5 \, B b^{5} c d^{4} f^{4} - 10 \, B b^{5} c^{2} d^{3} f^{3} g + 10 \, B b^{5} c^{3} d^{2} f^{2} g^{2} - 5 \, B b^{5} c^{4} d f g^{3} + B b^{5} c^{5} g^{4}\right)} \log\left(d x + c\right) + 6 \, {\left(B b^{5} d^{5} g^{4} x^{5} + 5 \, B b^{5} d^{5} f g^{3} x^{4} + 10 \, B b^{5} d^{5} f^{2} g^{2} x^{3} + 10 \, B b^{5} d^{5} f^{3} g x^{2} + 5 \, B b^{5} d^{5} f^{4} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{30 \, b^{5} d^{5}}"," ",0,"1/30*(6*A*b^5*d^5*g^4*x^5 + 3*(10*A*b^5*d^5*f*g^3 - (B*b^5*c*d^4 - B*a*b^4*d^5)*g^4)*x^4 + 4*(15*A*b^5*d^5*f^2*g^2 - 5*(B*b^5*c*d^4 - B*a*b^4*d^5)*f*g^3 + (B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*g^4)*x^3 + 6*(10*A*b^5*d^5*f^3*g - 10*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^2*g^2 + 5*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f*g^3 - (B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*g^4)*x^2 + 6*(5*A*b^5*d^5*f^4 - 20*(B*b^5*c*d^4 - B*a*b^4*d^5)*f^3*g + 20*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*f^2*g^2 - 10*(B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*f*g^3 + 2*(B*b^5*c^4*d - B*a^4*b*d^5)*g^4)*x + 12*(5*B*a*b^4*d^5*f^4 - 10*B*a^2*b^3*d^5*f^3*g + 10*B*a^3*b^2*d^5*f^2*g^2 - 5*B*a^4*b*d^5*f*g^3 + B*a^5*d^5*g^4)*log(b*x + a) - 12*(5*B*b^5*c*d^4*f^4 - 10*B*b^5*c^2*d^3*f^3*g + 10*B*b^5*c^3*d^2*f^2*g^2 - 5*B*b^5*c^4*d*f*g^3 + B*b^5*c^5*g^4)*log(d*x + c) + 6*(B*b^5*d^5*g^4*x^5 + 5*B*b^5*d^5*f*g^3*x^4 + 10*B*b^5*d^5*f^2*g^2*x^3 + 10*B*b^5*d^5*f^3*g*x^2 + 5*B*b^5*d^5*f^4*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b^5*d^5)","A",0
263,1,468,0,1.035016," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{3 \, A b^{4} d^{4} g^{3} x^{4} + 2 \, {\left(6 \, A b^{4} d^{4} f g^{2} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{3}\right)} x^{3} + 3 \, {\left(6 \, A b^{4} d^{4} f^{2} g - 4 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f g^{2} + {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} g^{3}\right)} x^{2} + 6 \, {\left(2 \, A b^{4} d^{4} f^{3} - 6 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} f^{2} g + 4 \, {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} f g^{2} - {\left(B b^{4} c^{3} d - B a^{3} b d^{4}\right)} g^{3}\right)} x + 6 \, {\left(4 \, B a b^{3} d^{4} f^{3} - 6 \, B a^{2} b^{2} d^{4} f^{2} g + 4 \, B a^{3} b d^{4} f g^{2} - B a^{4} d^{4} g^{3}\right)} \log\left(b x + a\right) - 6 \, {\left(4 \, B b^{4} c d^{3} f^{3} - 6 \, B b^{4} c^{2} d^{2} f^{2} g + 4 \, B b^{4} c^{3} d f g^{2} - B b^{4} c^{4} g^{3}\right)} \log\left(d x + c\right) + 3 \, {\left(B b^{4} d^{4} g^{3} x^{4} + 4 \, B b^{4} d^{4} f g^{2} x^{3} + 6 \, B b^{4} d^{4} f^{2} g x^{2} + 4 \, B b^{4} d^{4} f^{3} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{12 \, b^{4} d^{4}}"," ",0,"1/12*(3*A*b^4*d^4*g^3*x^4 + 2*(6*A*b^4*d^4*f*g^2 - (B*b^4*c*d^3 - B*a*b^3*d^4)*g^3)*x^3 + 3*(6*A*b^4*d^4*f^2*g - 4*(B*b^4*c*d^3 - B*a*b^3*d^4)*f*g^2 + (B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*g^3)*x^2 + 6*(2*A*b^4*d^4*f^3 - 6*(B*b^4*c*d^3 - B*a*b^3*d^4)*f^2*g + 4*(B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*f*g^2 - (B*b^4*c^3*d - B*a^3*b*d^4)*g^3)*x + 6*(4*B*a*b^3*d^4*f^3 - 6*B*a^2*b^2*d^4*f^2*g + 4*B*a^3*b*d^4*f*g^2 - B*a^4*d^4*g^3)*log(b*x + a) - 6*(4*B*b^4*c*d^3*f^3 - 6*B*b^4*c^2*d^2*f^2*g + 4*B*b^4*c^3*d*f*g^2 - B*b^4*c^4*g^3)*log(d*x + c) + 3*(B*b^4*d^4*g^3*x^4 + 4*B*b^4*d^4*f*g^2*x^3 + 6*B*b^4*d^4*f^2*g*x^2 + 4*B*b^4*d^4*f^3*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b^4*d^4)","B",0
264,1,301,0,0.867360," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{A b^{3} d^{3} g^{2} x^{3} + {\left(3 \, A b^{3} d^{3} f g - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g^{2}\right)} x^{2} + {\left(3 \, A b^{3} d^{3} f^{2} - 6 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} f g + 2 \, {\left(B b^{3} c^{2} d - B a^{2} b d^{3}\right)} g^{2}\right)} x + 2 \, {\left(3 \, B a b^{2} d^{3} f^{2} - 3 \, B a^{2} b d^{3} f g + B a^{3} d^{3} g^{2}\right)} \log\left(b x + a\right) - 2 \, {\left(3 \, B b^{3} c d^{2} f^{2} - 3 \, B b^{3} c^{2} d f g + B b^{3} c^{3} g^{2}\right)} \log\left(d x + c\right) + {\left(B b^{3} d^{3} g^{2} x^{3} + 3 \, B b^{3} d^{3} f g x^{2} + 3 \, B b^{3} d^{3} f^{2} x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{3 \, b^{3} d^{3}}"," ",0,"1/3*(A*b^3*d^3*g^2*x^3 + (3*A*b^3*d^3*f*g - (B*b^3*c*d^2 - B*a*b^2*d^3)*g^2)*x^2 + (3*A*b^3*d^3*f^2 - 6*(B*b^3*c*d^2 - B*a*b^2*d^3)*f*g + 2*(B*b^3*c^2*d - B*a^2*b*d^3)*g^2)*x + 2*(3*B*a*b^2*d^3*f^2 - 3*B*a^2*b*d^3*f*g + B*a^3*d^3*g^2)*log(b*x + a) - 2*(3*B*b^3*c*d^2*f^2 - 3*B*b^3*c^2*d*f*g + B*b^3*c^3*g^2)*log(d*x + c) + (B*b^3*d^3*g^2*x^3 + 3*B*b^3*d^3*f*g*x^2 + 3*B*b^3*d^3*f^2*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b^3*d^3)","B",0
265,1,174,0,0.662986," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} g x^{2} + 2 \, {\left(A b^{2} d^{2} f - {\left(B b^{2} c d - B a b d^{2}\right)} g\right)} x + 2 \, {\left(2 \, B a b d^{2} f - B a^{2} d^{2} g\right)} \log\left(b x + a\right) - 2 \, {\left(2 \, B b^{2} c d f - B b^{2} c^{2} g\right)} \log\left(d x + c\right) + {\left(B b^{2} d^{2} g x^{2} + 2 \, B b^{2} d^{2} f x\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, b^{2} d^{2}}"," ",0,"1/2*(A*b^2*d^2*g*x^2 + 2*(A*b^2*d^2*f - (B*b^2*c*d - B*a*b*d^2)*g)*x + 2*(2*B*a*b*d^2*f - B*a^2*d^2*g)*log(b*x + a) - 2*(2*B*b^2*c*d*f - B*b^2*c^2*g)*log(d*x + c) + (B*b^2*d^2*g*x^2 + 2*B*b^2*d^2*f*x)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b^2*d^2)","A",0
266,1,80,0,0.645692," ","integrate(A+B*log(e*(b*x+a)^2/(d*x+c)^2),x, algorithm=""fricas"")","\frac{B b d x \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A b d x + 2 \, B a d \log\left(b x + a\right) - 2 \, B b c \log\left(d x + c\right)}{b d}"," ",0,"(B*b*d*x*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A*b*d*x + 2*B*a*d*log(b*x + a) - 2*B*b*c*log(d*x + c))/(b*d)","A",0
267,0,0,0,0.773381," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}{g x + f}, x\right)"," ",0,"integral((B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A)/(g*x + f), x)","F",0
268,1,279,0,8.255470," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^2,x, algorithm=""fricas"")","-\frac{A b d f^{2} + A a c g^{2} - {\left(A b c + A a d\right)} f g - 2 \, {\left(B b d f^{2} - B b c f g + {\left(B b d f g - B b c g^{2}\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(B b d f^{2} - B a d f g + {\left(B b d f g - B a d g^{2}\right)} x\right)} \log\left(d x + c\right) - 2 \, {\left({\left(B b c - B a d\right)} g^{2} x + {\left(B b c - B a d\right)} f g\right)} \log\left(g x + f\right) + {\left(B b d f^{2} + B a c g^{2} - {\left(B b c + B a d\right)} f g\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{b d f^{3} g + a c f g^{3} - {\left(b c + a d\right)} f^{2} g^{2} + {\left(b d f^{2} g^{2} + a c g^{4} - {\left(b c + a d\right)} f g^{3}\right)} x}"," ",0,"-(A*b*d*f^2 + A*a*c*g^2 - (A*b*c + A*a*d)*f*g - 2*(B*b*d*f^2 - B*b*c*f*g + (B*b*d*f*g - B*b*c*g^2)*x)*log(b*x + a) + 2*(B*b*d*f^2 - B*a*d*f*g + (B*b*d*f*g - B*a*d*g^2)*x)*log(d*x + c) - 2*((B*b*c - B*a*d)*g^2*x + (B*b*c - B*a*d)*f*g)*log(g*x + f) + (B*b*d*f^2 + B*a*c*g^2 - (B*b*c + B*a*d)*f*g)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b*d*f^3*g + a*c*f*g^3 - (b*c + a*d)*f^2*g^2 + (b*d*f^2*g^2 + a*c*g^4 - (b*c + a*d)*f*g^3)*x)","B",0
269,1,1036,0,121.212835," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^3,x, algorithm=""fricas"")","-\frac{A b^{2} d^{2} f^{4} + A a^{2} c^{2} g^{4} - 2 \, {\left({\left(A - B\right)} b^{2} c d + {\left(A + B\right)} a b d^{2}\right)} f^{3} g + {\left({\left(A - 2 \, B\right)} b^{2} c^{2} + 4 \, A a b c d + {\left(A + 2 \, B\right)} a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left({\left(A - B\right)} a b c^{2} + {\left(A + B\right)} a^{2} c d\right)} f g^{3} + 2 \, {\left({\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3} + {\left(B a b c^{2} - B a^{2} c d\right)} g^{4}\right)} x - 2 \, {\left(B b^{2} d^{2} f^{4} - 2 \, B b^{2} c d f^{3} g + B b^{2} c^{2} f^{2} g^{2} + {\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B b^{2} c d f g^{3} + B b^{2} c^{2} g^{4}\right)} x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B b^{2} c d f^{2} g^{2} + B b^{2} c^{2} f g^{3}\right)} x\right)} \log\left(b x + a\right) + 2 \, {\left(B b^{2} d^{2} f^{4} - 2 \, B a b d^{2} f^{3} g + B a^{2} d^{2} f^{2} g^{2} + {\left(B b^{2} d^{2} f^{2} g^{2} - 2 \, B a b d^{2} f g^{3} + B a^{2} d^{2} g^{4}\right)} x^{2} + 2 \, {\left(B b^{2} d^{2} f^{3} g - 2 \, B a b d^{2} f^{2} g^{2} + B a^{2} d^{2} f g^{3}\right)} x\right)} \log\left(d x + c\right) - 2 \, {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{3} g - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f^{2} g^{2} + {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f g^{3} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g^{4}\right)} x^{2} + 2 \, {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} f^{2} g^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} f g^{3}\right)} x\right)} \log\left(g x + f\right) + {\left(B b^{2} d^{2} f^{4} + B a^{2} c^{2} g^{4} - 2 \, {\left(B b^{2} c d + B a b d^{2}\right)} f^{3} g + {\left(B b^{2} c^{2} + 4 \, B a b c d + B a^{2} d^{2}\right)} f^{2} g^{2} - 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} f g^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, {\left(b^{2} d^{2} f^{6} g + a^{2} c^{2} f^{2} g^{5} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{5} g^{2} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{4} g^{3} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{3} g^{4} + {\left(b^{2} d^{2} f^{4} g^{3} + a^{2} c^{2} g^{7} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{3} g^{4} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{2} g^{5} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f g^{6}\right)} x^{2} + 2 \, {\left(b^{2} d^{2} f^{5} g^{2} + a^{2} c^{2} f g^{6} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} f^{4} g^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} f^{3} g^{4} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} f^{2} g^{5}\right)} x\right)}}"," ",0,"-1/2*(A*b^2*d^2*f^4 + A*a^2*c^2*g^4 - 2*((A - B)*b^2*c*d + (A + B)*a*b*d^2)*f^3*g + ((A - 2*B)*b^2*c^2 + 4*A*a*b*c*d + (A + 2*B)*a^2*d^2)*f^2*g^2 - 2*((A - B)*a*b*c^2 + (A + B)*a^2*c*d)*f*g^3 + 2*((B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3 + (B*a*b*c^2 - B*a^2*c*d)*g^4)*x - 2*(B*b^2*d^2*f^4 - 2*B*b^2*c*d*f^3*g + B*b^2*c^2*f^2*g^2 + (B*b^2*d^2*f^2*g^2 - 2*B*b^2*c*d*f*g^3 + B*b^2*c^2*g^4)*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*b^2*c*d*f^2*g^2 + B*b^2*c^2*f*g^3)*x)*log(b*x + a) + 2*(B*b^2*d^2*f^4 - 2*B*a*b*d^2*f^3*g + B*a^2*d^2*f^2*g^2 + (B*b^2*d^2*f^2*g^2 - 2*B*a*b*d^2*f*g^3 + B*a^2*d^2*g^4)*x^2 + 2*(B*b^2*d^2*f^3*g - 2*B*a*b*d^2*f^2*g^2 + B*a^2*d^2*f*g^3)*x)*log(d*x + c) - 2*(2*(B*b^2*c*d - B*a*b*d^2)*f^3*g - (B*b^2*c^2 - B*a^2*d^2)*f^2*g^2 + (2*(B*b^2*c*d - B*a*b*d^2)*f*g^3 - (B*b^2*c^2 - B*a^2*d^2)*g^4)*x^2 + 2*(2*(B*b^2*c*d - B*a*b*d^2)*f^2*g^2 - (B*b^2*c^2 - B*a^2*d^2)*f*g^3)*x)*log(g*x + f) + (B*b^2*d^2*f^4 + B*a^2*c^2*g^4 - 2*(B*b^2*c*d + B*a*b*d^2)*f^3*g + (B*b^2*c^2 + 4*B*a*b*c*d + B*a^2*d^2)*f^2*g^2 - 2*(B*a*b*c^2 + B*a^2*c*d)*f*g^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)))/(b^2*d^2*f^6*g + a^2*c^2*f^2*g^5 - 2*(b^2*c*d + a*b*d^2)*f^5*g^2 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^4*g^3 - 2*(a*b*c^2 + a^2*c*d)*f^3*g^4 + (b^2*d^2*f^4*g^3 + a^2*c^2*g^7 - 2*(b^2*c*d + a*b*d^2)*f^3*g^4 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^2*g^5 - 2*(a*b*c^2 + a^2*c*d)*f*g^6)*x^2 + 2*(b^2*d^2*f^5*g^2 + a^2*c^2*f*g^6 - 2*(b^2*c*d + a*b*d^2)*f^4*g^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*f^3*g^4 - 2*(a*b*c^2 + a^2*c*d)*f^2*g^5)*x)","B",0
270,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))/(g*x+f)^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
272,0,0,0,0.734967," ","integrate((g*x+f)^3*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
273,0,0,0,1.018909," ","integrate((g*x+f)^2*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
274,0,0,0,0.664122," ","integrate((g*x+f)*(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right), x\right)"," ",0,"integral(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g*x + A*B*f)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
275,0,0,0,0.585600," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}, x\right)"," ",0,"integral(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2, x)","F",0
276,0,0,0,0.811210," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{g x + f}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(g*x + f), x)","F",0
277,0,0,0,0.743990," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{g^{2} x^{2} + 2 \, f g x + f^{2}}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(g^2*x^2 + 2*f*g*x + f^2), x)","F",0
278,0,0,0,0.872330," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{g^{3} x^{3} + 3 \, f g^{2} x^{2} + 3 \, f^{2} g x + f^{3}}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(g^3*x^3 + 3*f*g^2*x^2 + 3*f^2*g*x + f^3), x)","F",0
279,0,0,0,0.885160," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{g^{4} x^{4} + 4 \, f g^{3} x^{3} + 6 \, f^{2} g^{2} x^{2} + 4 \, f^{3} g x + f^{4}}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(g^4*x^4 + 4*f*g^3*x^3 + 6*f^2*g^2*x^2 + 4*f^3*g*x + f^4), x)","F",0
280,0,0,0,0.815196," ","integrate((A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2/(g*x+f)^5,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}{g^{5} x^{5} + 5 \, f g^{4} x^{4} + 10 \, f^{2} g^{3} x^{3} + 10 \, f^{3} g^{2} x^{2} + 5 \, f^{4} g x + f^{5}}, x\right)"," ",0,"integral((B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2)/(g^5*x^5 + 5*f*g^4*x^4 + 10*f^2*g^3*x^3 + 10*f^3*g^2*x^2 + 5*f^4*g*x + f^5), x)","F",0
281,0,0,0,0.658809," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A), x)","F",0
282,0,0,0,0.589677," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}, x\right)"," ",0,"integral((g*x + f)/(B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A), x)","F",0
283,0,0,0,0.665900," ","integrate(1/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A}, x\right)"," ",0,"integral(1/(B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A), x)","F",0
284,0,0,0,0.591531," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g x + A f + {\left(B g x + B f\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*g*x + A*f + (B*g*x + B*f)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
285,0,0,0,0.828534," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{2} x^{2} + 2 \, A f g x + A f^{2} + {\left(B g^{2} x^{2} + 2 \, B f g x + B f^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*g^2*x^2 + 2*A*f*g*x + A*f^2 + (B*g^2*x^2 + 2*B*f*g*x + B*f^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
286,0,0,0,0.977095," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A g^{3} x^{3} + 3 \, A f g^{2} x^{2} + 3 \, A f^{2} g x + A f^{3} + {\left(B g^{3} x^{3} + 3 \, B f g^{2} x^{2} + 3 \, B f^{2} g x + B f^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A*g^3*x^3 + 3*A*f*g^2*x^2 + 3*A*f^2*g*x + A*f^3 + (B*g^3*x^3 + 3*B*f*g^2*x^2 + 3*B*f^2*g*x + B*f^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
287,0,0,0,0.643351," ","integrate((g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g^{2} x^{2} + 2 \, f g x + f^{2}}{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((g^2*x^2 + 2*f*g*x + f^2)/(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2), x)","F",0
288,0,0,0,0.646254," ","integrate((g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{g x + f}{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}, x\right)"," ",0,"integral((g*x + f)/(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2), x)","F",0
289,0,0,0,0.738165," ","integrate(1/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{B^{2} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, A B \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + A^{2}}, x\right)"," ",0,"integral(1/(B^2*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*A*B*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2)) + A^2), x)","F",0
290,0,0,0,0.645101," ","integrate(1/(g*x+f)/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g x + A^{2} f + {\left(B^{2} g x + B^{2} f\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g x + A B f\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*g*x + A^2*f + (B^2*g*x + B^2*f)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g*x + A*B*f)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
291,0,0,0,0.699398," ","integrate(1/(g*x+f)^2/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{2} x^{2} + 2 \, A^{2} f g x + A^{2} f^{2} + {\left(B^{2} g^{2} x^{2} + 2 \, B^{2} f g x + B^{2} f^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g^{2} x^{2} + 2 \, A B f g x + A B f^{2}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*g^2*x^2 + 2*A^2*f*g*x + A^2*f^2 + (B^2*g^2*x^2 + 2*B^2*f*g*x + B^2*f^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g^2*x^2 + 2*A*B*f*g*x + A*B*f^2)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
292,0,0,0,0.755394," ","integrate(1/(g*x+f)^3/(A+B*log(e*(b*x+a)^2/(d*x+c)^2))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{A^{2} g^{3} x^{3} + 3 \, A^{2} f g^{2} x^{2} + 3 \, A^{2} f^{2} g x + A^{2} f^{3} + {\left(B^{2} g^{3} x^{3} + 3 \, B^{2} f g^{2} x^{2} + 3 \, B^{2} f^{2} g x + B^{2} f^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)^{2} + 2 \, {\left(A B g^{3} x^{3} + 3 \, A B f g^{2} x^{2} + 3 \, A B f^{2} g x + A B f^{3}\right)} \log\left(\frac{b^{2} e x^{2} + 2 \, a b e x + a^{2} e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}, x\right)"," ",0,"integral(1/(A^2*g^3*x^3 + 3*A^2*f*g^2*x^2 + 3*A^2*f^2*g*x + A^2*f^3 + (B^2*g^3*x^3 + 3*B^2*f*g^2*x^2 + 3*B^2*f^2*g*x + B^2*f^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))^2 + 2*(A*B*g^3*x^3 + 3*A*B*f*g^2*x^2 + 3*A*B*f^2*g*x + A*B*f^3)*log((b^2*e*x^2 + 2*a*b*e*x + a^2*e)/(d^2*x^2 + 2*c*d*x + c^2))), x)","F",0
293,1,805,0,0.677337," ","integrate((h*x+g)^4*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{12 \, A b^{5} d^{5} h^{4} x^{5} + 3 \, {\left(20 \, A b^{5} d^{5} g h^{3} - {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} h^{4} n\right)} x^{4} + 4 \, {\left(30 \, A b^{5} d^{5} g^{2} h^{2} - {\left(5 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g h^{3} - {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} h^{4}\right)} n\right)} x^{3} + 6 \, {\left(20 \, A b^{5} d^{5} g^{3} h - {\left(10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{2} h^{2} - 5 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} g h^{3} + {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} h^{4}\right)} n\right)} x^{2} + 12 \, {\left(5 \, A b^{5} d^{5} g^{4} - {\left(10 \, {\left(B b^{5} c d^{4} - B a b^{4} d^{5}\right)} g^{3} h - 10 \, {\left(B b^{5} c^{2} d^{3} - B a^{2} b^{3} d^{5}\right)} g^{2} h^{2} + 5 \, {\left(B b^{5} c^{3} d^{2} - B a^{3} b^{2} d^{5}\right)} g h^{3} - {\left(B b^{5} c^{4} d - B a^{4} b d^{5}\right)} h^{4}\right)} n\right)} x + 12 \, {\left(B b^{5} d^{5} h^{4} n x^{5} + 5 \, B b^{5} d^{5} g h^{3} n x^{4} + 10 \, B b^{5} d^{5} g^{2} h^{2} n x^{3} + 10 \, B b^{5} d^{5} g^{3} h n x^{2} + 5 \, B b^{5} d^{5} g^{4} n x + {\left(5 \, B a b^{4} d^{5} g^{4} - 10 \, B a^{2} b^{3} d^{5} g^{3} h + 10 \, B a^{3} b^{2} d^{5} g^{2} h^{2} - 5 \, B a^{4} b d^{5} g h^{3} + B a^{5} d^{5} h^{4}\right)} n\right)} \log\left(b x + a\right) - 12 \, {\left(B b^{5} d^{5} h^{4} n x^{5} + 5 \, B b^{5} d^{5} g h^{3} n x^{4} + 10 \, B b^{5} d^{5} g^{2} h^{2} n x^{3} + 10 \, B b^{5} d^{5} g^{3} h n x^{2} + 5 \, B b^{5} d^{5} g^{4} n x + {\left(5 \, B b^{5} c d^{4} g^{4} - 10 \, B b^{5} c^{2} d^{3} g^{3} h + 10 \, B b^{5} c^{3} d^{2} g^{2} h^{2} - 5 \, B b^{5} c^{4} d g h^{3} + B b^{5} c^{5} h^{4}\right)} n\right)} \log\left(d x + c\right) + 12 \, {\left(B b^{5} d^{5} h^{4} x^{5} + 5 \, B b^{5} d^{5} g h^{3} x^{4} + 10 \, B b^{5} d^{5} g^{2} h^{2} x^{3} + 10 \, B b^{5} d^{5} g^{3} h x^{2} + 5 \, B b^{5} d^{5} g^{4} x\right)} \log\left(e\right)}{60 \, b^{5} d^{5}}"," ",0,"1/60*(12*A*b^5*d^5*h^4*x^5 + 3*(20*A*b^5*d^5*g*h^3 - (B*b^5*c*d^4 - B*a*b^4*d^5)*h^4*n)*x^4 + 4*(30*A*b^5*d^5*g^2*h^2 - (5*(B*b^5*c*d^4 - B*a*b^4*d^5)*g*h^3 - (B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*h^4)*n)*x^3 + 6*(20*A*b^5*d^5*g^3*h - (10*(B*b^5*c*d^4 - B*a*b^4*d^5)*g^2*h^2 - 5*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*g*h^3 + (B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*h^4)*n)*x^2 + 12*(5*A*b^5*d^5*g^4 - (10*(B*b^5*c*d^4 - B*a*b^4*d^5)*g^3*h - 10*(B*b^5*c^2*d^3 - B*a^2*b^3*d^5)*g^2*h^2 + 5*(B*b^5*c^3*d^2 - B*a^3*b^2*d^5)*g*h^3 - (B*b^5*c^4*d - B*a^4*b*d^5)*h^4)*n)*x + 12*(B*b^5*d^5*h^4*n*x^5 + 5*B*b^5*d^5*g*h^3*n*x^4 + 10*B*b^5*d^5*g^2*h^2*n*x^3 + 10*B*b^5*d^5*g^3*h*n*x^2 + 5*B*b^5*d^5*g^4*n*x + (5*B*a*b^4*d^5*g^4 - 10*B*a^2*b^3*d^5*g^3*h + 10*B*a^3*b^2*d^5*g^2*h^2 - 5*B*a^4*b*d^5*g*h^3 + B*a^5*d^5*h^4)*n)*log(b*x + a) - 12*(B*b^5*d^5*h^4*n*x^5 + 5*B*b^5*d^5*g*h^3*n*x^4 + 10*B*b^5*d^5*g^2*h^2*n*x^3 + 10*B*b^5*d^5*g^3*h*n*x^2 + 5*B*b^5*d^5*g^4*n*x + (5*B*b^5*c*d^4*g^4 - 10*B*b^5*c^2*d^3*g^3*h + 10*B*b^5*c^3*d^2*g^2*h^2 - 5*B*b^5*c^4*d*g*h^3 + B*b^5*c^5*h^4)*n)*log(d*x + c) + 12*(B*b^5*d^5*h^4*x^5 + 5*B*b^5*d^5*g*h^3*x^4 + 10*B*b^5*d^5*g^2*h^2*x^3 + 10*B*b^5*d^5*g^3*h*x^2 + 5*B*b^5*d^5*g^4*x)*log(e))/(b^5*d^5)","B",0
294,1,571,0,0.604753," ","integrate((h*x+g)^3*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{6 \, A b^{4} d^{4} h^{3} x^{4} + 2 \, {\left(12 \, A b^{4} d^{4} g h^{2} - {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} h^{3} n\right)} x^{3} + 3 \, {\left(12 \, A b^{4} d^{4} g^{2} h - {\left(4 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g h^{2} - {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} h^{3}\right)} n\right)} x^{2} + 6 \, {\left(4 \, A b^{4} d^{4} g^{3} - {\left(6 \, {\left(B b^{4} c d^{3} - B a b^{3} d^{4}\right)} g^{2} h - 4 \, {\left(B b^{4} c^{2} d^{2} - B a^{2} b^{2} d^{4}\right)} g h^{2} + {\left(B b^{4} c^{3} d - B a^{3} b d^{4}\right)} h^{3}\right)} n\right)} x + 6 \, {\left(B b^{4} d^{4} h^{3} n x^{4} + 4 \, B b^{4} d^{4} g h^{2} n x^{3} + 6 \, B b^{4} d^{4} g^{2} h n x^{2} + 4 \, B b^{4} d^{4} g^{3} n x + {\left(4 \, B a b^{3} d^{4} g^{3} - 6 \, B a^{2} b^{2} d^{4} g^{2} h + 4 \, B a^{3} b d^{4} g h^{2} - B a^{4} d^{4} h^{3}\right)} n\right)} \log\left(b x + a\right) - 6 \, {\left(B b^{4} d^{4} h^{3} n x^{4} + 4 \, B b^{4} d^{4} g h^{2} n x^{3} + 6 \, B b^{4} d^{4} g^{2} h n x^{2} + 4 \, B b^{4} d^{4} g^{3} n x + {\left(4 \, B b^{4} c d^{3} g^{3} - 6 \, B b^{4} c^{2} d^{2} g^{2} h + 4 \, B b^{4} c^{3} d g h^{2} - B b^{4} c^{4} h^{3}\right)} n\right)} \log\left(d x + c\right) + 6 \, {\left(B b^{4} d^{4} h^{3} x^{4} + 4 \, B b^{4} d^{4} g h^{2} x^{3} + 6 \, B b^{4} d^{4} g^{2} h x^{2} + 4 \, B b^{4} d^{4} g^{3} x\right)} \log\left(e\right)}{24 \, b^{4} d^{4}}"," ",0,"1/24*(6*A*b^4*d^4*h^3*x^4 + 2*(12*A*b^4*d^4*g*h^2 - (B*b^4*c*d^3 - B*a*b^3*d^4)*h^3*n)*x^3 + 3*(12*A*b^4*d^4*g^2*h - (4*(B*b^4*c*d^3 - B*a*b^3*d^4)*g*h^2 - (B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*h^3)*n)*x^2 + 6*(4*A*b^4*d^4*g^3 - (6*(B*b^4*c*d^3 - B*a*b^3*d^4)*g^2*h - 4*(B*b^4*c^2*d^2 - B*a^2*b^2*d^4)*g*h^2 + (B*b^4*c^3*d - B*a^3*b*d^4)*h^3)*n)*x + 6*(B*b^4*d^4*h^3*n*x^4 + 4*B*b^4*d^4*g*h^2*n*x^3 + 6*B*b^4*d^4*g^2*h*n*x^2 + 4*B*b^4*d^4*g^3*n*x + (4*B*a*b^3*d^4*g^3 - 6*B*a^2*b^2*d^4*g^2*h + 4*B*a^3*b*d^4*g*h^2 - B*a^4*d^4*h^3)*n)*log(b*x + a) - 6*(B*b^4*d^4*h^3*n*x^4 + 4*B*b^4*d^4*g*h^2*n*x^3 + 6*B*b^4*d^4*g^2*h*n*x^2 + 4*B*b^4*d^4*g^3*n*x + (4*B*b^4*c*d^3*g^3 - 6*B*b^4*c^2*d^2*g^2*h + 4*B*b^4*c^3*d*g*h^2 - B*b^4*c^4*h^3)*n)*log(d*x + c) + 6*(B*b^4*d^4*h^3*x^4 + 4*B*b^4*d^4*g*h^2*x^3 + 6*B*b^4*d^4*g^2*h*x^2 + 4*B*b^4*d^4*g^3*x)*log(e))/(b^4*d^4)","B",0
295,1,365,0,0.733527," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{2 \, A b^{3} d^{3} h^{2} x^{3} + {\left(6 \, A b^{3} d^{3} g h - {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} h^{2} n\right)} x^{2} + 2 \, {\left(3 \, A b^{3} d^{3} g^{2} - {\left(3 \, {\left(B b^{3} c d^{2} - B a b^{2} d^{3}\right)} g h - {\left(B b^{3} c^{2} d - B a^{2} b d^{3}\right)} h^{2}\right)} n\right)} x + 2 \, {\left(B b^{3} d^{3} h^{2} n x^{3} + 3 \, B b^{3} d^{3} g h n x^{2} + 3 \, B b^{3} d^{3} g^{2} n x + {\left(3 \, B a b^{2} d^{3} g^{2} - 3 \, B a^{2} b d^{3} g h + B a^{3} d^{3} h^{2}\right)} n\right)} \log\left(b x + a\right) - 2 \, {\left(B b^{3} d^{3} h^{2} n x^{3} + 3 \, B b^{3} d^{3} g h n x^{2} + 3 \, B b^{3} d^{3} g^{2} n x + {\left(3 \, B b^{3} c d^{2} g^{2} - 3 \, B b^{3} c^{2} d g h + B b^{3} c^{3} h^{2}\right)} n\right)} \log\left(d x + c\right) + 2 \, {\left(B b^{3} d^{3} h^{2} x^{3} + 3 \, B b^{3} d^{3} g h x^{2} + 3 \, B b^{3} d^{3} g^{2} x\right)} \log\left(e\right)}{6 \, b^{3} d^{3}}"," ",0,"1/6*(2*A*b^3*d^3*h^2*x^3 + (6*A*b^3*d^3*g*h - (B*b^3*c*d^2 - B*a*b^2*d^3)*h^2*n)*x^2 + 2*(3*A*b^3*d^3*g^2 - (3*(B*b^3*c*d^2 - B*a*b^2*d^3)*g*h - (B*b^3*c^2*d - B*a^2*b*d^3)*h^2)*n)*x + 2*(B*b^3*d^3*h^2*n*x^3 + 3*B*b^3*d^3*g*h*n*x^2 + 3*B*b^3*d^3*g^2*n*x + (3*B*a*b^2*d^3*g^2 - 3*B*a^2*b*d^3*g*h + B*a^3*d^3*h^2)*n)*log(b*x + a) - 2*(B*b^3*d^3*h^2*n*x^3 + 3*B*b^3*d^3*g*h*n*x^2 + 3*B*b^3*d^3*g^2*n*x + (3*B*b^3*c*d^2*g^2 - 3*B*b^3*c^2*d*g*h + B*b^3*c^3*h^2)*n)*log(d*x + c) + 2*(B*b^3*d^3*h^2*x^3 + 3*B*b^3*d^3*g*h*x^2 + 3*B*b^3*d^3*g^2*x)*log(e))/(b^3*d^3)","B",0
296,1,192,0,0.546906," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n))),x, algorithm=""fricas"")","\frac{A b^{2} d^{2} h x^{2} + {\left(2 \, A b^{2} d^{2} g - {\left(B b^{2} c d - B a b d^{2}\right)} h n\right)} x + {\left(B b^{2} d^{2} h n x^{2} + 2 \, B b^{2} d^{2} g n x + {\left(2 \, B a b d^{2} g - B a^{2} d^{2} h\right)} n\right)} \log\left(b x + a\right) - {\left(B b^{2} d^{2} h n x^{2} + 2 \, B b^{2} d^{2} g n x + {\left(2 \, B b^{2} c d g - B b^{2} c^{2} h\right)} n\right)} \log\left(d x + c\right) + {\left(B b^{2} d^{2} h x^{2} + 2 \, B b^{2} d^{2} g x\right)} \log\left(e\right)}{2 \, b^{2} d^{2}}"," ",0,"1/2*(A*b^2*d^2*h*x^2 + (2*A*b^2*d^2*g - (B*b^2*c*d - B*a*b*d^2)*h*n)*x + (B*b^2*d^2*h*n*x^2 + 2*B*b^2*d^2*g*n*x + (2*B*a*b*d^2*g - B*a^2*d^2*h)*n)*log(b*x + a) - (B*b^2*d^2*h*n*x^2 + 2*B*b^2*d^2*g*n*x + (2*B*b^2*c*d*g - B*b^2*c^2*h)*n)*log(d*x + c) + (B*b^2*d^2*h*x^2 + 2*B*b^2*d^2*g*x)*log(e))/(b^2*d^2)","A",0
297,1,59,0,0.872487," ","integrate(A+B*log(e*(b*x+a)^n/((d*x+c)^n)),x, algorithm=""fricas"")","\frac{B b d x \log\left(e\right) + A b d x + {\left(B b d n x + B a d n\right)} \log\left(b x + a\right) - {\left(B b d n x + B b c n\right)} \log\left(d x + c\right)}{b d}"," ",0,"(B*b*d*x*log(e) + A*b*d*x + (B*b*d*n*x + B*a*d*n)*log(b*x + a) - (B*b*d*n*x + B*b*c*n)*log(d*x + c))/(b*d)","A",0
298,0,0,0,0.650854," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A}{h x + g}, x\right)"," ",0,"integral((B*log((b*x + a)^n*e/(d*x + c)^n) + A)/(h*x + g), x)","F",0
299,1,250,0,8.877985," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^2,x, algorithm=""fricas"")","-\frac{A b d g^{2} + A a c h^{2} - {\left(A b c + A a d\right)} g h - {\left({\left(B b d g h - B b c h^{2}\right)} n x + {\left(B a d g h - B a c h^{2}\right)} n\right)} \log\left(b x + a\right) + {\left({\left(B b d g h - B a d h^{2}\right)} n x + {\left(B b c g h - B a c h^{2}\right)} n\right)} \log\left(d x + c\right) - {\left({\left(B b c - B a d\right)} h^{2} n x + {\left(B b c - B a d\right)} g h n\right)} \log\left(h x + g\right) + {\left(B b d g^{2} + B a c h^{2} - {\left(B b c + B a d\right)} g h\right)} \log\left(e\right)}{b d g^{3} h + a c g h^{3} - {\left(b c + a d\right)} g^{2} h^{2} + {\left(b d g^{2} h^{2} + a c h^{4} - {\left(b c + a d\right)} g h^{3}\right)} x}"," ",0,"-(A*b*d*g^2 + A*a*c*h^2 - (A*b*c + A*a*d)*g*h - ((B*b*d*g*h - B*b*c*h^2)*n*x + (B*a*d*g*h - B*a*c*h^2)*n)*log(b*x + a) + ((B*b*d*g*h - B*a*d*h^2)*n*x + (B*b*c*g*h - B*a*c*h^2)*n)*log(d*x + c) - ((B*b*c - B*a*d)*h^2*n*x + (B*b*c - B*a*d)*g*h*n)*log(h*x + g) + (B*b*d*g^2 + B*a*c*h^2 - (B*b*c + B*a*d)*g*h)*log(e))/(b*d*g^3*h + a*c*g*h^3 - (b*c + a*d)*g^2*h^2 + (b*d*g^2*h^2 + a*c*h^4 - (b*c + a*d)*g*h^3)*x)","B",0
300,1,1127,0,122.166438," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^3,x, algorithm=""fricas"")","-\frac{A b^{2} d^{2} g^{4} + A a^{2} c^{2} h^{4} - 2 \, {\left(A b^{2} c d + A a b d^{2}\right)} g^{3} h + {\left(A b^{2} c^{2} + 4 \, A a b c d + A a^{2} d^{2}\right)} g^{2} h^{2} - 2 \, {\left(A a b c^{2} + A a^{2} c d\right)} g h^{3} + {\left({\left(B b^{2} c d - B a b d^{2}\right)} g^{2} h^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g h^{3} + {\left(B a b c^{2} - B a^{2} c d\right)} h^{4}\right)} n x + {\left({\left(B b^{2} c d - B a b d^{2}\right)} g^{3} h - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g^{2} h^{2} + {\left(B a b c^{2} - B a^{2} c d\right)} g h^{3}\right)} n - {\left({\left(B b^{2} d^{2} g^{2} h^{2} - 2 \, B b^{2} c d g h^{3} + B b^{2} c^{2} h^{4}\right)} n x^{2} + 2 \, {\left(B b^{2} d^{2} g^{3} h - 2 \, B b^{2} c d g^{2} h^{2} + B b^{2} c^{2} g h^{3}\right)} n x + {\left(2 \, B a b d^{2} g^{3} h - B a^{2} c^{2} h^{4} - {\left(4 \, B a b c d + B a^{2} d^{2}\right)} g^{2} h^{2} + 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} g h^{3}\right)} n\right)} \log\left(b x + a\right) + {\left({\left(B b^{2} d^{2} g^{2} h^{2} - 2 \, B a b d^{2} g h^{3} + B a^{2} d^{2} h^{4}\right)} n x^{2} + 2 \, {\left(B b^{2} d^{2} g^{3} h - 2 \, B a b d^{2} g^{2} h^{2} + B a^{2} d^{2} g h^{3}\right)} n x + {\left(2 \, B b^{2} c d g^{3} h - B a^{2} c^{2} h^{4} - {\left(B b^{2} c^{2} + 4 \, B a b c d\right)} g^{2} h^{2} + 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} g h^{3}\right)} n\right)} \log\left(d x + c\right) - {\left({\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} g h^{3} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} h^{4}\right)} n x^{2} + 2 \, {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} g^{2} h^{2} - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g h^{3}\right)} n x + {\left(2 \, {\left(B b^{2} c d - B a b d^{2}\right)} g^{3} h - {\left(B b^{2} c^{2} - B a^{2} d^{2}\right)} g^{2} h^{2}\right)} n\right)} \log\left(h x + g\right) + {\left(B b^{2} d^{2} g^{4} + B a^{2} c^{2} h^{4} - 2 \, {\left(B b^{2} c d + B a b d^{2}\right)} g^{3} h + {\left(B b^{2} c^{2} + 4 \, B a b c d + B a^{2} d^{2}\right)} g^{2} h^{2} - 2 \, {\left(B a b c^{2} + B a^{2} c d\right)} g h^{3}\right)} \log\left(e\right)}{2 \, {\left(b^{2} d^{2} g^{6} h + a^{2} c^{2} g^{2} h^{5} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} g^{5} h^{2} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} g^{4} h^{3} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} g^{3} h^{4} + {\left(b^{2} d^{2} g^{4} h^{3} + a^{2} c^{2} h^{7} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} g^{3} h^{4} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} g^{2} h^{5} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} g h^{6}\right)} x^{2} + 2 \, {\left(b^{2} d^{2} g^{5} h^{2} + a^{2} c^{2} g h^{6} - 2 \, {\left(b^{2} c d + a b d^{2}\right)} g^{4} h^{3} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} g^{3} h^{4} - 2 \, {\left(a b c^{2} + a^{2} c d\right)} g^{2} h^{5}\right)} x\right)}}"," ",0,"-1/2*(A*b^2*d^2*g^4 + A*a^2*c^2*h^4 - 2*(A*b^2*c*d + A*a*b*d^2)*g^3*h + (A*b^2*c^2 + 4*A*a*b*c*d + A*a^2*d^2)*g^2*h^2 - 2*(A*a*b*c^2 + A*a^2*c*d)*g*h^3 + ((B*b^2*c*d - B*a*b*d^2)*g^2*h^2 - (B*b^2*c^2 - B*a^2*d^2)*g*h^3 + (B*a*b*c^2 - B*a^2*c*d)*h^4)*n*x + ((B*b^2*c*d - B*a*b*d^2)*g^3*h - (B*b^2*c^2 - B*a^2*d^2)*g^2*h^2 + (B*a*b*c^2 - B*a^2*c*d)*g*h^3)*n - ((B*b^2*d^2*g^2*h^2 - 2*B*b^2*c*d*g*h^3 + B*b^2*c^2*h^4)*n*x^2 + 2*(B*b^2*d^2*g^3*h - 2*B*b^2*c*d*g^2*h^2 + B*b^2*c^2*g*h^3)*n*x + (2*B*a*b*d^2*g^3*h - B*a^2*c^2*h^4 - (4*B*a*b*c*d + B*a^2*d^2)*g^2*h^2 + 2*(B*a*b*c^2 + B*a^2*c*d)*g*h^3)*n)*log(b*x + a) + ((B*b^2*d^2*g^2*h^2 - 2*B*a*b*d^2*g*h^3 + B*a^2*d^2*h^4)*n*x^2 + 2*(B*b^2*d^2*g^3*h - 2*B*a*b*d^2*g^2*h^2 + B*a^2*d^2*g*h^3)*n*x + (2*B*b^2*c*d*g^3*h - B*a^2*c^2*h^4 - (B*b^2*c^2 + 4*B*a*b*c*d)*g^2*h^2 + 2*(B*a*b*c^2 + B*a^2*c*d)*g*h^3)*n)*log(d*x + c) - ((2*(B*b^2*c*d - B*a*b*d^2)*g*h^3 - (B*b^2*c^2 - B*a^2*d^2)*h^4)*n*x^2 + 2*(2*(B*b^2*c*d - B*a*b*d^2)*g^2*h^2 - (B*b^2*c^2 - B*a^2*d^2)*g*h^3)*n*x + (2*(B*b^2*c*d - B*a*b*d^2)*g^3*h - (B*b^2*c^2 - B*a^2*d^2)*g^2*h^2)*n)*log(h*x + g) + (B*b^2*d^2*g^4 + B*a^2*c^2*h^4 - 2*(B*b^2*c*d + B*a*b*d^2)*g^3*h + (B*b^2*c^2 + 4*B*a*b*c*d + B*a^2*d^2)*g^2*h^2 - 2*(B*a*b*c^2 + B*a^2*c*d)*g*h^3)*log(e))/(b^2*d^2*g^6*h + a^2*c^2*g^2*h^5 - 2*(b^2*c*d + a*b*d^2)*g^5*h^2 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*g^4*h^3 - 2*(a*b*c^2 + a^2*c*d)*g^3*h^4 + (b^2*d^2*g^4*h^3 + a^2*c^2*h^7 - 2*(b^2*c*d + a*b*d^2)*g^3*h^4 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*g^2*h^5 - 2*(a*b*c^2 + a^2*c*d)*g*h^6)*x^2 + 2*(b^2*d^2*g^5*h^2 + a^2*c^2*g*h^6 - 2*(b^2*c*d + a*b*d^2)*g^4*h^3 + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*g^3*h^4 - 2*(a*b*c^2 + a^2*c*d)*g^2*h^5)*x)","B",0
301,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^4,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,-1,0,0,0.000000," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))/(h*x+g)^5,x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,0,0,0,0.984735," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} h^{2} x^{2} + 2 \, A^{2} g h x + A^{2} g^{2} + {\left(B^{2} h^{2} x^{2} + 2 \, B^{2} g h x + B^{2} g^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, {\left(A B h^{2} x^{2} + 2 \, A B g h x + A B g^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^2*h^2*x^2 + 2*A^2*g*h*x + A^2*g^2 + (B^2*h^2*x^2 + 2*B^2*g*h*x + B^2*g^2)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*(A*B*h^2*x^2 + 2*A*B*g*h*x + A*B*g^2)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
304,0,0,0,0.679937," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(A^{2} h x + A^{2} g + {\left(B^{2} h x + B^{2} g\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, {\left(A B h x + A B g\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^2*h*x + A^2*g + (B^2*h*x + B^2*g)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*(A*B*h*x + A*B*g)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
305,0,0,0,0.740815," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2,x, algorithm=""fricas"")","{\rm integral}\left(B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, A B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{2}, x\right)"," ",0,"integral(B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*A*B*log((b*x + a)^n*e/(d*x + c)^n) + A^2, x)","F",0
306,0,0,0,1.088835," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, A B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{2}}{h x + g}, x\right)"," ",0,"integral((B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*A*B*log((b*x + a)^n*e/(d*x + c)^n) + A^2)/(h*x + g), x)","F",0
307,0,0,0,0.600991," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, A B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{2}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*A*B*log((b*x + a)^n*e/(d*x + c)^n) + A^2)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
308,0,0,0,0.481150," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^2/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 2 \, A B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{2}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral((B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 2*A*B*log((b*x + a)^n*e/(d*x + c)^n) + A^2)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
309,0,0,0,0.455027," ","integrate((h*x+g)^2*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(A^{3} h^{2} x^{2} + 2 \, A^{3} g h x + A^{3} g^{2} + {\left(B^{3} h^{2} x^{2} + 2 \, B^{3} g h x + B^{3} g^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, {\left(A B^{2} h^{2} x^{2} + 2 \, A B^{2} g h x + A B^{2} g^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, {\left(A^{2} B h^{2} x^{2} + 2 \, A^{2} B g h x + A^{2} B g^{2}\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^3*h^2*x^2 + 2*A^3*g*h*x + A^3*g^2 + (B^3*h^2*x^2 + 2*B^3*g*h*x + B^3*g^2)*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*(A*B^2*h^2*x^2 + 2*A*B^2*g*h*x + A*B^2*g^2)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*(A^2*B*h^2*x^2 + 2*A^2*B*g*h*x + A^2*B*g^2)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
310,0,0,0,0.491045," ","integrate((h*x+g)*(A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(A^{3} h x + A^{3} g + {\left(B^{3} h x + B^{3} g\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, {\left(A B^{2} h x + A B^{2} g\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, {\left(A^{2} B h x + A^{2} B g\right)} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right), x\right)"," ",0,"integral(A^3*h*x + A^3*g + (B^3*h*x + B^3*g)*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*(A*B^2*h*x + A*B^2*g)*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*(A^2*B*h*x + A^2*B*g)*log((b*x + a)^n*e/(d*x + c)^n), x)","F",0
311,0,0,0,0.449935," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3,x, algorithm=""fricas"")","{\rm integral}\left(B^{3} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, A B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, A^{2} B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{3}, x\right)"," ",0,"integral(B^3*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*A*B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*A^2*B*log((b*x + a)^n*e/(d*x + c)^n) + A^3, x)","F",0
312,0,0,0,0.491637," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{3} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, A B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, A^{2} B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{3}}{h x + g}, x\right)"," ",0,"integral((B^3*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*A*B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*A^2*B*log((b*x + a)^n*e/(d*x + c)^n) + A^3)/(h*x + g), x)","F",0
313,0,0,0,0.502445," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{3} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, A B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, A^{2} B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{3}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral((B^3*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*A*B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*A^2*B*log((b*x + a)^n*e/(d*x + c)^n) + A^3)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
314,0,0,0,0.444111," ","integrate((A+B*log(e*(b*x+a)^n/((d*x+c)^n)))^3/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{B^{3} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{3} + 3 \, A B^{2} \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right)^{2} + 3 \, A^{2} B \log\left(\frac{{\left(b x + a\right)}^{n} e}{{\left(d x + c\right)}^{n}}\right) + A^{3}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral((B^3*log((b*x + a)^n*e/(d*x + c)^n)^3 + 3*A*B^2*log((b*x + a)^n*e/(d*x + c)^n)^2 + 3*A^2*B*log((b*x + a)^n*e/(d*x + c)^n) + A^3)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
