1,1,3073,0,0.578149," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n),x, algorithm=""fricas"")","\frac{{\left(B b^{3} d m^{5} + 5 \, B b^{3} d m^{4} + 10 \, B b^{3} d m^{3} + 10 \, B b^{3} d m^{2} + 5 \, B b^{3} d m + B b^{3} d + 24 \, {\left(B b^{3} d m + B b^{3} d\right)} n^{4} + 50 \, {\left(B b^{3} d m^{2} + 2 \, B b^{3} d m + B b^{3} d\right)} n^{3} + 35 \, {\left(B b^{3} d m^{3} + 3 \, B b^{3} d m^{2} + 3 \, B b^{3} d m + B b^{3} d\right)} n^{2} + 10 \, {\left(B b^{3} d m^{4} + 4 \, B b^{3} d m^{3} + 6 \, B b^{3} d m^{2} + 4 \, B b^{3} d m + B b^{3} d\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{5} + B b^{3} c + 5 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{4} + 30 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d + {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m\right)} n^{4} + 10 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{3} + 61 \, {\left(B b^{3} c + {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d + 2 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m\right)} n^{3} + 10 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{2} + 41 \, {\left(B b^{3} c + {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{3} + 3 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d + 3 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m\right)} n^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d + 5 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m + 11 \, {\left(B b^{3} c + {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{4} + 4 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{3} + 6 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d + 4 \, {\left(B b^{3} c + {\left(3 \, B a b^{2} + A b^{3}\right)} d\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{5} + 5 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{4} + 40 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d + {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m\right)} n^{4} + 10 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{3} + 78 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d + 2 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m\right)} n^{3} + 10 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{2} + 49 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{3} + 3 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d + 3 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m\right)} n^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d + 5 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m + 12 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{4} + 4 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{3} + 6 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d + 4 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{5} + 5 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{4} + 60 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d + {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m\right)} n^{4} + 10 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{3} + 107 \, {\left({\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d + 2 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m\right)} n^{3} + 10 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{2} + 59 \, {\left({\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{3} + 3 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d + 3 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m\right)} n^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d + 5 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m + 13 \, {\left({\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{4} + 4 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{3} + 6 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d + 4 \, {\left(3 \, {\left(B a^{2} b + A a b^{2}\right)} c + {\left(B a^{3} + 3 \, A a^{2} b\right)} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{5} + A a^{3} d + 5 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{4} + 120 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c + {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m\right)} n^{4} + 10 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{3} + 154 \, {\left(A a^{3} d + {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c + 2 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m\right)} n^{3} + 10 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{2} + 71 \, {\left(A a^{3} d + {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{3} + 3 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c + 3 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m\right)} n^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c + 5 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m + 14 \, {\left(A a^{3} d + {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{4} + 4 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{3} + 6 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c + 4 \, {\left(A a^{3} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{3} c m^{5} + 120 \, A a^{3} c n^{5} + 5 \, A a^{3} c m^{4} + 10 \, A a^{3} c m^{3} + 10 \, A a^{3} c m^{2} + 5 \, A a^{3} c m + A a^{3} c + 274 \, {\left(A a^{3} c m + A a^{3} c\right)} n^{4} + 225 \, {\left(A a^{3} c m^{2} + 2 \, A a^{3} c m + A a^{3} c\right)} n^{3} + 85 \, {\left(A a^{3} c m^{3} + 3 \, A a^{3} c m^{2} + 3 \, A a^{3} c m + A a^{3} c\right)} n^{2} + 15 \, {\left(A a^{3} c m^{4} + 4 \, A a^{3} c m^{3} + 6 \, A a^{3} c m^{2} + 4 \, A a^{3} c m + A a^{3} c\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{6} + 120 \, {\left(m + 1\right)} n^{5} + 6 \, m^{5} + 274 \, {\left(m^{2} + 2 \, m + 1\right)} n^{4} + 15 \, m^{4} + 225 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{3} + 20 \, m^{3} + 85 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{2} + 15 \, m^{2} + 15 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n + 6 \, m + 1}"," ",0,"((B*b^3*d*m^5 + 5*B*b^3*d*m^4 + 10*B*b^3*d*m^3 + 10*B*b^3*d*m^2 + 5*B*b^3*d*m + B*b^3*d + 24*(B*b^3*d*m + B*b^3*d)*n^4 + 50*(B*b^3*d*m^2 + 2*B*b^3*d*m + B*b^3*d)*n^3 + 35*(B*b^3*d*m^3 + 3*B*b^3*d*m^2 + 3*B*b^3*d*m + B*b^3*d)*n^2 + 10*(B*b^3*d*m^4 + 4*B*b^3*d*m^3 + 6*B*b^3*d*m^2 + 4*B*b^3*d*m + B*b^3*d)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^5 + B*b^3*c + 5*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^4 + 30*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d + (B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m)*n^4 + 10*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^3 + 61*(B*b^3*c + (B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^2 + (3*B*a*b^2 + A*b^3)*d + 2*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m)*n^3 + 10*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^2 + 41*(B*b^3*c + (B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^3 + 3*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^2 + (3*B*a*b^2 + A*b^3)*d + 3*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m)*n^2 + (3*B*a*b^2 + A*b^3)*d + 5*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m + 11*(B*b^3*c + (B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^4 + 4*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^3 + 6*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m^2 + (3*B*a*b^2 + A*b^3)*d + 4*(B*b^3*c + (3*B*a*b^2 + A*b^3)*d)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + (((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^5 + 5*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^4 + 40*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d + ((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m)*n^4 + 10*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^3 + 78*(((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^2 + (3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d + 2*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m)*n^3 + 10*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^2 + 49*(((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^3 + 3*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^2 + (3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d + 3*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m)*n^2 + (3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d + 5*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m + 12*(((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^4 + 4*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^3 + 6*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m^2 + (3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d + 4*((3*B*a*b^2 + A*b^3)*c + 3*(B*a^2*b + A*a*b^2)*d)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^5 + 5*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^4 + 60*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d + (3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m)*n^4 + 10*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^3 + 107*((3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^2 + 3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d + 2*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m)*n^3 + 10*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^2 + 59*((3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^3 + 3*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^2 + 3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d + 3*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m)*n^2 + 3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d + 5*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m + 13*((3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^4 + 4*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^3 + 6*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m^2 + 3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d + 4*(3*(B*a^2*b + A*a*b^2)*c + (B*a^3 + 3*A*a^2*b)*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^5 + A*a^3*d + 5*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^4 + 120*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c + (A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m)*n^4 + 10*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^3 + 154*(A*a^3*d + (A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^2 + (B*a^3 + 3*A*a^2*b)*c + 2*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m)*n^3 + 10*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^2 + 71*(A*a^3*d + (A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^3 + 3*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^2 + (B*a^3 + 3*A*a^2*b)*c + 3*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m)*n^2 + (B*a^3 + 3*A*a^2*b)*c + 5*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m + 14*(A*a^3*d + (A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^4 + 4*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^3 + 6*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m^2 + (B*a^3 + 3*A*a^2*b)*c + 4*(A*a^3*d + (B*a^3 + 3*A*a^2*b)*c)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^3*c*m^5 + 120*A*a^3*c*n^5 + 5*A*a^3*c*m^4 + 10*A*a^3*c*m^3 + 10*A*a^3*c*m^2 + 5*A*a^3*c*m + A*a^3*c + 274*(A*a^3*c*m + A*a^3*c)*n^4 + 225*(A*a^3*c*m^2 + 2*A*a^3*c*m + A*a^3*c)*n^3 + 85*(A*a^3*c*m^3 + 3*A*a^3*c*m^2 + 3*A*a^3*c*m + A*a^3*c)*n^2 + 15*(A*a^3*c*m^4 + 4*A*a^3*c*m^3 + 6*A*a^3*c*m^2 + 4*A*a^3*c*m + A*a^3*c)*n)*x*e^(m*log(e) + m*log(x)))/(m^6 + 120*(m + 1)*n^5 + 6*m^5 + 274*(m^2 + 2*m + 1)*n^4 + 15*m^4 + 225*(m^3 + 3*m^2 + 3*m + 1)*n^3 + 20*m^3 + 85*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^2 + 15*m^2 + 15*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n + 6*m + 1)","B",0
2,1,1524,0,0.490120," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n),x, algorithm=""fricas"")","\frac{{\left(B b^{2} d m^{4} + 4 \, B b^{2} d m^{3} + 6 \, B b^{2} d m^{2} + 4 \, B b^{2} d m + B b^{2} d + 6 \, {\left(B b^{2} d m + B b^{2} d\right)} n^{3} + 11 \, {\left(B b^{2} d m^{2} + 2 \, B b^{2} d m + B b^{2} d\right)} n^{2} + 6 \, {\left(B b^{2} d m^{3} + 3 \, B b^{2} d m^{2} + 3 \, B b^{2} d m + B b^{2} d\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{4} + B b^{2} c + 4 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{3} + 8 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d + {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m\right)} n^{3} + 6 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{2} + 14 \, {\left(B b^{2} c + {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{2} + {\left(2 \, B a b + A b^{2}\right)} d + 2 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m\right)} n^{2} + {\left(2 \, B a b + A b^{2}\right)} d + 4 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m + 7 \, {\left(B b^{2} c + {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{3} + 3 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m^{2} + {\left(2 \, B a b + A b^{2}\right)} d + 3 \, {\left(B b^{2} c + {\left(2 \, B a b + A b^{2}\right)} d\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{4} + 4 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{3} + 12 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d + {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m\right)} n^{3} + 6 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{2} + 19 \, {\left({\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{2} + {\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d + 2 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m\right)} n^{2} + {\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d + 4 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m + 8 \, {\left({\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{3} + 3 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m^{2} + {\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d + 3 \, {\left({\left(2 \, B a b + A b^{2}\right)} c + {\left(B a^{2} + 2 \, A a b\right)} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{4} + A a^{2} d + 4 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{3} + 24 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c + {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m\right)} n^{3} + 6 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{2} + 26 \, {\left(A a^{2} d + {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{2} + {\left(B a^{2} + 2 \, A a b\right)} c + 2 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m\right)} n^{2} + {\left(B a^{2} + 2 \, A a b\right)} c + 4 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m + 9 \, {\left(A a^{2} d + {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{3} + 3 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m^{2} + {\left(B a^{2} + 2 \, A a b\right)} c + 3 \, {\left(A a^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{2} c m^{4} + 24 \, A a^{2} c n^{4} + 4 \, A a^{2} c m^{3} + 6 \, A a^{2} c m^{2} + 4 \, A a^{2} c m + A a^{2} c + 50 \, {\left(A a^{2} c m + A a^{2} c\right)} n^{3} + 35 \, {\left(A a^{2} c m^{2} + 2 \, A a^{2} c m + A a^{2} c\right)} n^{2} + 10 \, {\left(A a^{2} c m^{3} + 3 \, A a^{2} c m^{2} + 3 \, A a^{2} c m + A a^{2} c\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{5} + 24 \, {\left(m + 1\right)} n^{4} + 5 \, m^{4} + 50 \, {\left(m^{2} + 2 \, m + 1\right)} n^{3} + 10 \, m^{3} + 35 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{2} + 10 \, m^{2} + 10 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n + 5 \, m + 1}"," ",0,"((B*b^2*d*m^4 + 4*B*b^2*d*m^3 + 6*B*b^2*d*m^2 + 4*B*b^2*d*m + B*b^2*d + 6*(B*b^2*d*m + B*b^2*d)*n^3 + 11*(B*b^2*d*m^2 + 2*B*b^2*d*m + B*b^2*d)*n^2 + 6*(B*b^2*d*m^3 + 3*B*b^2*d*m^2 + 3*B*b^2*d*m + B*b^2*d)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((B*b^2*c + (2*B*a*b + A*b^2)*d)*m^4 + B*b^2*c + 4*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m^3 + 8*(B*b^2*c + (2*B*a*b + A*b^2)*d + (B*b^2*c + (2*B*a*b + A*b^2)*d)*m)*n^3 + 6*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m^2 + 14*(B*b^2*c + (B*b^2*c + (2*B*a*b + A*b^2)*d)*m^2 + (2*B*a*b + A*b^2)*d + 2*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m)*n^2 + (2*B*a*b + A*b^2)*d + 4*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m + 7*(B*b^2*c + (B*b^2*c + (2*B*a*b + A*b^2)*d)*m^3 + 3*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m^2 + (2*B*a*b + A*b^2)*d + 3*(B*b^2*c + (2*B*a*b + A*b^2)*d)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + (((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^4 + 4*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^3 + 12*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d + ((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m)*n^3 + 6*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^2 + 19*(((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^2 + (2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d + 2*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m)*n^2 + (2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d + 4*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m + 8*(((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^3 + 3*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m^2 + (2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d + 3*((2*B*a*b + A*b^2)*c + (B*a^2 + 2*A*a*b)*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^4 + A*a^2*d + 4*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^3 + 24*(A*a^2*d + (B*a^2 + 2*A*a*b)*c + (A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m)*n^3 + 6*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^2 + 26*(A*a^2*d + (A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^2 + (B*a^2 + 2*A*a*b)*c + 2*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m)*n^2 + (B*a^2 + 2*A*a*b)*c + 4*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m + 9*(A*a^2*d + (A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^3 + 3*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m^2 + (B*a^2 + 2*A*a*b)*c + 3*(A*a^2*d + (B*a^2 + 2*A*a*b)*c)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^2*c*m^4 + 24*A*a^2*c*n^4 + 4*A*a^2*c*m^3 + 6*A*a^2*c*m^2 + 4*A*a^2*c*m + A*a^2*c + 50*(A*a^2*c*m + A*a^2*c)*n^3 + 35*(A*a^2*c*m^2 + 2*A*a^2*c*m + A*a^2*c)*n^2 + 10*(A*a^2*c*m^3 + 3*A*a^2*c*m^2 + 3*A*a^2*c*m + A*a^2*c)*n)*x*e^(m*log(e) + m*log(x)))/(m^5 + 24*(m + 1)*n^4 + 5*m^4 + 50*(m^2 + 2*m + 1)*n^3 + 10*m^3 + 35*(m^3 + 3*m^2 + 3*m + 1)*n^2 + 10*m^2 + 10*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n + 5*m + 1)","B",0
3,1,562,0,0.451526," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n),x, algorithm=""fricas"")","\frac{{\left(B b d m^{3} + 3 \, B b d m^{2} + 3 \, B b d m + B b d + 2 \, {\left(B b d m + B b d\right)} n^{2} + 3 \, {\left(B b d m^{2} + 2 \, B b d m + B b d\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b c + {\left(B a + A b\right)} d\right)} m^{3} + B b c + 3 \, {\left(B b c + {\left(B a + A b\right)} d\right)} m^{2} + 3 \, {\left(B b c + {\left(B a + A b\right)} d + {\left(B b c + {\left(B a + A b\right)} d\right)} m\right)} n^{2} + {\left(B a + A b\right)} d + 3 \, {\left(B b c + {\left(B a + A b\right)} d\right)} m + 4 \, {\left(B b c + {\left(B b c + {\left(B a + A b\right)} d\right)} m^{2} + {\left(B a + A b\right)} d + 2 \, {\left(B b c + {\left(B a + A b\right)} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a d + {\left(B a + A b\right)} c\right)} m^{3} + A a d + 3 \, {\left(A a d + {\left(B a + A b\right)} c\right)} m^{2} + 6 \, {\left(A a d + {\left(B a + A b\right)} c + {\left(A a d + {\left(B a + A b\right)} c\right)} m\right)} n^{2} + {\left(B a + A b\right)} c + 3 \, {\left(A a d + {\left(B a + A b\right)} c\right)} m + 5 \, {\left(A a d + {\left(A a d + {\left(B a + A b\right)} c\right)} m^{2} + {\left(B a + A b\right)} c + 2 \, {\left(A a d + {\left(B a + A b\right)} c\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a c m^{3} + 6 \, A a c n^{3} + 3 \, A a c m^{2} + 3 \, A a c m + A a c + 11 \, {\left(A a c m + A a c\right)} n^{2} + 6 \, {\left(A a c m^{2} + 2 \, A a c m + A a c\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{4} + 6 \, {\left(m + 1\right)} n^{3} + 4 \, m^{3} + 11 \, {\left(m^{2} + 2 \, m + 1\right)} n^{2} + 6 \, m^{2} + 6 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n + 4 \, m + 1}"," ",0,"((B*b*d*m^3 + 3*B*b*d*m^2 + 3*B*b*d*m + B*b*d + 2*(B*b*d*m + B*b*d)*n^2 + 3*(B*b*d*m^2 + 2*B*b*d*m + B*b*d)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((B*b*c + (B*a + A*b)*d)*m^3 + B*b*c + 3*(B*b*c + (B*a + A*b)*d)*m^2 + 3*(B*b*c + (B*a + A*b)*d + (B*b*c + (B*a + A*b)*d)*m)*n^2 + (B*a + A*b)*d + 3*(B*b*c + (B*a + A*b)*d)*m + 4*(B*b*c + (B*b*c + (B*a + A*b)*d)*m^2 + (B*a + A*b)*d + 2*(B*b*c + (B*a + A*b)*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((A*a*d + (B*a + A*b)*c)*m^3 + A*a*d + 3*(A*a*d + (B*a + A*b)*c)*m^2 + 6*(A*a*d + (B*a + A*b)*c + (A*a*d + (B*a + A*b)*c)*m)*n^2 + (B*a + A*b)*c + 3*(A*a*d + (B*a + A*b)*c)*m + 5*(A*a*d + (A*a*d + (B*a + A*b)*c)*m^2 + (B*a + A*b)*c + 2*(A*a*d + (B*a + A*b)*c)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a*c*m^3 + 6*A*a*c*n^3 + 3*A*a*c*m^2 + 3*A*a*c*m + A*a*c + 11*(A*a*c*m + A*a*c)*n^2 + 6*(A*a*c*m^2 + 2*A*a*c*m + A*a*c)*n)*x*e^(m*log(e) + m*log(x)))/(m^4 + 6*(m + 1)*n^3 + 4*m^3 + 11*(m^2 + 2*m + 1)*n^2 + 6*m^2 + 6*(m^3 + 3*m^2 + 3*m + 1)*n + 4*m + 1)","B",0
4,1,185,0,0.439583," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n),x, algorithm=""fricas"")","\frac{{\left(B d m^{2} + 2 \, B d m + B d + {\left(B d m + B d\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B c + A d\right)} m^{2} + B c + A d + 2 \, {\left(B c + A d\right)} m + 2 \, {\left(B c + A d + {\left(B c + A d\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A c m^{2} + 2 \, A c n^{2} + 2 \, A c m + A c + 3 \, {\left(A c m + A c\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{3} + 2 \, {\left(m + 1\right)} n^{2} + 3 \, m^{2} + 3 \, {\left(m^{2} + 2 \, m + 1\right)} n + 3 \, m + 1}"," ",0,"((B*d*m^2 + 2*B*d*m + B*d + (B*d*m + B*d)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((B*c + A*d)*m^2 + B*c + A*d + 2*(B*c + A*d)*m + 2*(B*c + A*d + (B*c + A*d)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*c*m^2 + 2*A*c*n^2 + 2*A*c*m + A*c + 3*(A*c*m + A*c)*n)*x*e^(m*log(e) + m*log(x)))/(m^3 + 2*(m + 1)*n^2 + 3*m^2 + 3*(m^2 + 2*m + 1)*n + 3*m + 1)","B",0
5,0,0,0,0.424765," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d x^{2 \, n} + A c + {\left(B c + A d\right)} x^{n}\right)} \left(e x\right)^{m}}{b x^{n} + a}, x\right)"," ",0,"integral((B*d*x^(2*n) + A*c + (B*c + A*d)*x^n)*(e*x)^m/(b*x^n + a), x)","F",0
6,0,0,0,0.423862," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d x^{2 \, n} + A c + {\left(B c + A d\right)} x^{n}\right)} \left(e x\right)^{m}}{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}, x\right)"," ",0,"integral((B*d*x^(2*n) + A*c + (B*c + A*d)*x^n)*(e*x)^m/(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
7,0,0,0,0.428788," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)/(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d x^{2 \, n} + A c + {\left(B c + A d\right)} x^{n}\right)} \left(e x\right)^{m}}{b^{3} x^{3 \, n} + 3 \, a b^{2} x^{2 \, n} + 3 \, a^{2} b x^{n} + a^{3}}, x\right)"," ",0,"integral((B*d*x^(2*n) + A*c + (B*c + A*d)*x^n)*(e*x)^m/(b^3*x^(3*n) + 3*a*b^2*x^(2*n) + 3*a^2*b*x^n + a^3), x)","F",0
8,1,6638,0,0.584300," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""fricas"")","\frac{{\left(B b^{3} d^{2} m^{6} + 6 \, B b^{3} d^{2} m^{5} + 15 \, B b^{3} d^{2} m^{4} + 20 \, B b^{3} d^{2} m^{3} + 15 \, B b^{3} d^{2} m^{2} + 6 \, B b^{3} d^{2} m + B b^{3} d^{2} + 120 \, {\left(B b^{3} d^{2} m + B b^{3} d^{2}\right)} n^{5} + 274 \, {\left(B b^{3} d^{2} m^{2} + 2 \, B b^{3} d^{2} m + B b^{3} d^{2}\right)} n^{4} + 225 \, {\left(B b^{3} d^{2} m^{3} + 3 \, B b^{3} d^{2} m^{2} + 3 \, B b^{3} d^{2} m + B b^{3} d^{2}\right)} n^{3} + 85 \, {\left(B b^{3} d^{2} m^{4} + 4 \, B b^{3} d^{2} m^{3} + 6 \, B b^{3} d^{2} m^{2} + 4 \, B b^{3} d^{2} m + B b^{3} d^{2}\right)} n^{2} + 15 \, {\left(B b^{3} d^{2} m^{5} + 5 \, B b^{3} d^{2} m^{4} + 10 \, B b^{3} d^{2} m^{3} + 10 \, B b^{3} d^{2} m^{2} + 5 \, B b^{3} d^{2} m + B b^{3} d^{2}\right)} n\right)} x x^{6 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{6} + 2 \, B b^{3} c d + 6 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{5} + 144 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m\right)} n^{5} + 15 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{4} + 324 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{2} + 2 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m\right)} n^{4} + 20 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{3} + 260 \, {\left(2 \, B b^{3} c d + {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + 3 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{2} + 3 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m\right)} n^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + 15 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{2} + 95 \, {\left(2 \, B b^{3} c d + {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{4} + 4 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + 6 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{2} + 4 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m\right)} n^{2} + 6 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m + 16 \, {\left(2 \, B b^{3} c d + {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{5} + 5 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{4} + 10 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2} + 10 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m^{2} + 5 \, {\left(2 \, B b^{3} c d + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{2}\right)} m\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{6} + B b^{3} c^{2} + 6 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{5} + 180 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m\right)} n^{5} + 15 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{4} + 396 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{2} + 2 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m\right)} n^{4} + 20 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{3} + 307 \, {\left(B b^{3} c^{2} + {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{3} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + 3 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{2} + 3 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m\right)} n^{3} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + 15 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{2} + 107 \, {\left(B b^{3} c^{2} + {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{4} + 4 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{3} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + 6 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{2} + 4 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m\right)} n^{2} + 6 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m + 17 \, {\left(B b^{3} c^{2} + {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{5} + 5 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{4} + 10 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{3} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2} + 10 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m^{2} + 5 \, {\left(B b^{3} c^{2} + 2 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c d + 3 \, {\left(B a^{2} b + A a b^{2}\right)} d^{2}\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{6} + 6 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{5} + 240 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m\right)} n^{5} + 15 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{4} + 508 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{2} + 2 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m\right)} n^{4} + 20 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{3} + 372 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + 3 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{2} + 3 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m\right)} n^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + 15 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{2} + 121 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{4} + 4 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + 6 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{2} + 4 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m\right)} n^{2} + 6 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m + 18 \, {\left({\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{5} + 5 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{4} + 10 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2} + 10 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m^{2} + 5 \, {\left({\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} + 6 \, {\left(B a^{2} b + A a b^{2}\right)} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{6} + A a^{3} d^{2} + 6 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{5} + 360 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m\right)} n^{5} + 15 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{4} + 702 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{2} + 2 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m\right)} n^{4} + 20 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{3} + 461 \, {\left(A a^{3} d^{2} + {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{3} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + 3 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{2} + 3 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m\right)} n^{3} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + 15 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{2} + 137 \, {\left(A a^{3} d^{2} + {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{4} + 4 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{3} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + 6 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{2} + 4 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m\right)} n^{2} + 6 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m + 19 \, {\left(A a^{3} d^{2} + {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{5} + 5 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{4} + 10 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{3} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d + 10 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m^{2} + 5 \, {\left(A a^{3} d^{2} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{6} + 2 \, A a^{3} c d + 6 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{5} + 720 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m\right)} n^{5} + 15 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{4} + 1044 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{2} + 2 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m\right)} n^{4} + 20 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{3} + 580 \, {\left(2 \, A a^{3} c d + {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + 3 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{2} + 3 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m\right)} n^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + 15 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{2} + 155 \, {\left(2 \, A a^{3} c d + {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{4} + 4 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + 6 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{2} + 4 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m\right)} n^{2} + 6 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m + 20 \, {\left(2 \, A a^{3} c d + {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{5} + 5 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{4} + 10 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} + 10 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m^{2} + 5 \, {\left(2 \, A a^{3} c d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{3} c^{2} m^{6} + 720 \, A a^{3} c^{2} n^{6} + 6 \, A a^{3} c^{2} m^{5} + 15 \, A a^{3} c^{2} m^{4} + 20 \, A a^{3} c^{2} m^{3} + 15 \, A a^{3} c^{2} m^{2} + 6 \, A a^{3} c^{2} m + A a^{3} c^{2} + 1764 \, {\left(A a^{3} c^{2} m + A a^{3} c^{2}\right)} n^{5} + 1624 \, {\left(A a^{3} c^{2} m^{2} + 2 \, A a^{3} c^{2} m + A a^{3} c^{2}\right)} n^{4} + 735 \, {\left(A a^{3} c^{2} m^{3} + 3 \, A a^{3} c^{2} m^{2} + 3 \, A a^{3} c^{2} m + A a^{3} c^{2}\right)} n^{3} + 175 \, {\left(A a^{3} c^{2} m^{4} + 4 \, A a^{3} c^{2} m^{3} + 6 \, A a^{3} c^{2} m^{2} + 4 \, A a^{3} c^{2} m + A a^{3} c^{2}\right)} n^{2} + 21 \, {\left(A a^{3} c^{2} m^{5} + 5 \, A a^{3} c^{2} m^{4} + 10 \, A a^{3} c^{2} m^{3} + 10 \, A a^{3} c^{2} m^{2} + 5 \, A a^{3} c^{2} m + A a^{3} c^{2}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{7} + 720 \, {\left(m + 1\right)} n^{6} + 7 \, m^{6} + 1764 \, {\left(m^{2} + 2 \, m + 1\right)} n^{5} + 21 \, m^{5} + 1624 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{4} + 35 \, m^{4} + 735 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{3} + 35 \, m^{3} + 175 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n^{2} + 21 \, m^{2} + 21 \, {\left(m^{6} + 6 \, m^{5} + 15 \, m^{4} + 20 \, m^{3} + 15 \, m^{2} + 6 \, m + 1\right)} n + 7 \, m + 1}"," ",0,"((B*b^3*d^2*m^6 + 6*B*b^3*d^2*m^5 + 15*B*b^3*d^2*m^4 + 20*B*b^3*d^2*m^3 + 15*B*b^3*d^2*m^2 + 6*B*b^3*d^2*m + B*b^3*d^2 + 120*(B*b^3*d^2*m + B*b^3*d^2)*n^5 + 274*(B*b^3*d^2*m^2 + 2*B*b^3*d^2*m + B*b^3*d^2)*n^4 + 225*(B*b^3*d^2*m^3 + 3*B*b^3*d^2*m^2 + 3*B*b^3*d^2*m + B*b^3*d^2)*n^3 + 85*(B*b^3*d^2*m^4 + 4*B*b^3*d^2*m^3 + 6*B*b^3*d^2*m^2 + 4*B*b^3*d^2*m + B*b^3*d^2)*n^2 + 15*(B*b^3*d^2*m^5 + 5*B*b^3*d^2*m^4 + 10*B*b^3*d^2*m^3 + 10*B*b^3*d^2*m^2 + 5*B*b^3*d^2*m + B*b^3*d^2)*n)*x*x^(6*n)*e^(m*log(e) + m*log(x)) + ((2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^6 + 2*B*b^3*c*d + 6*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^5 + 144*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2 + (2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m)*n^5 + 15*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^4 + 324*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2 + (2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^2 + 2*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m)*n^4 + 20*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^3 + 260*(2*B*b^3*c*d + (2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*d^2 + 3*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^2 + 3*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m)*n^3 + (3*B*a*b^2 + A*b^3)*d^2 + 15*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^2 + 95*(2*B*b^3*c*d + (2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^4 + 4*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*d^2 + 6*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^2 + 4*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m)*n^2 + 6*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m + 16*(2*B*b^3*c*d + (2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^5 + 5*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^4 + 10*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*d^2 + 10*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m^2 + 5*(2*B*b^3*c*d + (3*B*a*b^2 + A*b^3)*d^2)*m)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^6 + B*b^3*c^2 + 6*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^5 + 180*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + (B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m)*n^5 + 15*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^4 + 396*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + (B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^2 + 2*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m)*n^4 + 20*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^3 + 307*(B*b^3*c^2 + (B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^3 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + 3*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^2 + 3*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m)*n^3 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + 15*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^2 + 107*(B*b^3*c^2 + (B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^4 + 4*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^3 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + 6*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^2 + 4*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m)*n^2 + 6*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m + 17*(B*b^3*c^2 + (B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^5 + 5*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^4 + 10*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^3 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2 + 10*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m^2 + 5*(B*b^3*c^2 + 2*(3*B*a*b^2 + A*b^3)*c*d + 3*(B*a^2*b + A*a*b^2)*d^2)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + (((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^6 + 6*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^5 + 240*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + ((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m)*n^5 + 15*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^4 + 508*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + ((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^2 + 2*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m)*n^4 + 20*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^3 + 372*(((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + 3*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^2 + 3*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m)*n^3 + (3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + 15*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^2 + 121*(((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^4 + 4*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + 6*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^2 + 4*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m)*n^2 + 6*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m + 18*(((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^5 + 5*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^4 + 10*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^3 + (3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2 + 10*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m^2 + 5*((3*B*a*b^2 + A*b^3)*c^2 + 6*(B*a^2*b + A*a*b^2)*c*d + (B*a^3 + 3*A*a^2*b)*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^6 + A*a^3*d^2 + 6*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^5 + 360*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + (A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m)*n^5 + 15*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^4 + 702*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + (A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^2 + 2*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m)*n^4 + 20*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^3 + 461*(A*a^3*d^2 + (A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^3 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + 3*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^2 + 3*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m)*n^3 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + 15*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^2 + 137*(A*a^3*d^2 + (A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^4 + 4*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^3 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + 6*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^2 + 4*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m)*n^2 + 6*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m + 19*(A*a^3*d^2 + (A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^5 + 5*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^4 + 10*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^3 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d + 10*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m^2 + 5*(A*a^3*d^2 + 3*(B*a^2*b + A*a*b^2)*c^2 + 2*(B*a^3 + 3*A*a^2*b)*c*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^6 + 2*A*a^3*c*d + 6*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^5 + 720*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2 + (2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m)*n^5 + 15*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^4 + 1044*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2 + (2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^2 + 2*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m)*n^4 + 20*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^3 + 580*(2*A*a^3*c*d + (2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^3 + (B*a^3 + 3*A*a^2*b)*c^2 + 3*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^2 + 3*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m)*n^3 + (B*a^3 + 3*A*a^2*b)*c^2 + 15*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^2 + 155*(2*A*a^3*c*d + (2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^4 + 4*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^3 + (B*a^3 + 3*A*a^2*b)*c^2 + 6*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^2 + 4*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m)*n^2 + 6*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m + 20*(2*A*a^3*c*d + (2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^5 + 5*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^4 + 10*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^3 + (B*a^3 + 3*A*a^2*b)*c^2 + 10*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m^2 + 5*(2*A*a^3*c*d + (B*a^3 + 3*A*a^2*b)*c^2)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^3*c^2*m^6 + 720*A*a^3*c^2*n^6 + 6*A*a^3*c^2*m^5 + 15*A*a^3*c^2*m^4 + 20*A*a^3*c^2*m^3 + 15*A*a^3*c^2*m^2 + 6*A*a^3*c^2*m + A*a^3*c^2 + 1764*(A*a^3*c^2*m + A*a^3*c^2)*n^5 + 1624*(A*a^3*c^2*m^2 + 2*A*a^3*c^2*m + A*a^3*c^2)*n^4 + 735*(A*a^3*c^2*m^3 + 3*A*a^3*c^2*m^2 + 3*A*a^3*c^2*m + A*a^3*c^2)*n^3 + 175*(A*a^3*c^2*m^4 + 4*A*a^3*c^2*m^3 + 6*A*a^3*c^2*m^2 + 4*A*a^3*c^2*m + A*a^3*c^2)*n^2 + 21*(A*a^3*c^2*m^5 + 5*A*a^3*c^2*m^4 + 10*A*a^3*c^2*m^3 + 10*A*a^3*c^2*m^2 + 5*A*a^3*c^2*m + A*a^3*c^2)*n)*x*e^(m*log(e) + m*log(x)))/(m^7 + 720*(m + 1)*n^6 + 7*m^6 + 1764*(m^2 + 2*m + 1)*n^5 + 21*m^5 + 1624*(m^3 + 3*m^2 + 3*m + 1)*n^4 + 35*m^4 + 735*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^3 + 35*m^3 + 175*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n^2 + 21*m^2 + 21*(m^6 + 6*m^5 + 15*m^4 + 20*m^3 + 15*m^2 + 6*m + 1)*n + 7*m + 1)","B",0
9,1,3515,0,0.506061," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""fricas"")","\frac{{\left(B b^{2} d^{2} m^{5} + 5 \, B b^{2} d^{2} m^{4} + 10 \, B b^{2} d^{2} m^{3} + 10 \, B b^{2} d^{2} m^{2} + 5 \, B b^{2} d^{2} m + B b^{2} d^{2} + 24 \, {\left(B b^{2} d^{2} m + B b^{2} d^{2}\right)} n^{4} + 50 \, {\left(B b^{2} d^{2} m^{2} + 2 \, B b^{2} d^{2} m + B b^{2} d^{2}\right)} n^{3} + 35 \, {\left(B b^{2} d^{2} m^{3} + 3 \, B b^{2} d^{2} m^{2} + 3 \, B b^{2} d^{2} m + B b^{2} d^{2}\right)} n^{2} + 10 \, {\left(B b^{2} d^{2} m^{4} + 4 \, B b^{2} d^{2} m^{3} + 6 \, B b^{2} d^{2} m^{2} + 4 \, B b^{2} d^{2} m + B b^{2} d^{2}\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{5} + 2 \, B b^{2} c d + 5 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{4} + 30 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2} + {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m\right)} n^{4} + 10 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{3} + 61 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2} + {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{2} + 2 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m\right)} n^{3} + {\left(2 \, B a b + A b^{2}\right)} d^{2} + 10 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{2} + 41 \, {\left(2 \, B b^{2} c d + {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{3} + {\left(2 \, B a b + A b^{2}\right)} d^{2} + 3 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{2} + 3 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m\right)} n^{2} + 5 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m + 11 \, {\left(2 \, B b^{2} c d + {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{4} + 4 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{3} + {\left(2 \, B a b + A b^{2}\right)} d^{2} + 6 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m^{2} + 4 \, {\left(2 \, B b^{2} c d + {\left(2 \, B a b + A b^{2}\right)} d^{2}\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{5} + B b^{2} c^{2} + 5 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{4} + 40 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2} + {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m\right)} n^{4} + 10 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{3} + 78 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2} + {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{2} + 2 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m\right)} n^{3} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2} + 10 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{2} + 49 \, {\left(B b^{2} c^{2} + {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{3} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2} + 3 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{2} + 3 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m\right)} n^{2} + 5 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m + 12 \, {\left(B b^{2} c^{2} + {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{4} + 4 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{3} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2} + 6 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m^{2} + 4 \, {\left(B b^{2} c^{2} + 2 \, {\left(2 \, B a b + A b^{2}\right)} c d + {\left(B a^{2} + 2 \, A a b\right)} d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{5} + A a^{2} d^{2} + 5 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{4} + 60 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d + {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m\right)} n^{4} + 10 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{3} + 107 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d + {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{2} + 2 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m\right)} n^{3} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d + 10 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{2} + 59 \, {\left(A a^{2} d^{2} + {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{3} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d + 3 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{2} + 3 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m\right)} n^{2} + 5 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m + 13 \, {\left(A a^{2} d^{2} + {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{4} + 4 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{3} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d + 6 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m^{2} + 4 \, {\left(A a^{2} d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{2} + 2 \, {\left(B a^{2} + 2 \, A a b\right)} c d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{5} + 2 \, A a^{2} c d + 5 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{4} + 120 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2} + {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m\right)} n^{4} + 10 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{3} + 154 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2} + {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{2} + 2 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m\right)} n^{3} + {\left(B a^{2} + 2 \, A a b\right)} c^{2} + 10 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{2} + 71 \, {\left(2 \, A a^{2} c d + {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{3} + {\left(B a^{2} + 2 \, A a b\right)} c^{2} + 3 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{2} + 3 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m\right)} n^{2} + 5 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m + 14 \, {\left(2 \, A a^{2} c d + {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{4} + 4 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{3} + {\left(B a^{2} + 2 \, A a b\right)} c^{2} + 6 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m^{2} + 4 \, {\left(2 \, A a^{2} c d + {\left(B a^{2} + 2 \, A a b\right)} c^{2}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{2} c^{2} m^{5} + 120 \, A a^{2} c^{2} n^{5} + 5 \, A a^{2} c^{2} m^{4} + 10 \, A a^{2} c^{2} m^{3} + 10 \, A a^{2} c^{2} m^{2} + 5 \, A a^{2} c^{2} m + A a^{2} c^{2} + 274 \, {\left(A a^{2} c^{2} m + A a^{2} c^{2}\right)} n^{4} + 225 \, {\left(A a^{2} c^{2} m^{2} + 2 \, A a^{2} c^{2} m + A a^{2} c^{2}\right)} n^{3} + 85 \, {\left(A a^{2} c^{2} m^{3} + 3 \, A a^{2} c^{2} m^{2} + 3 \, A a^{2} c^{2} m + A a^{2} c^{2}\right)} n^{2} + 15 \, {\left(A a^{2} c^{2} m^{4} + 4 \, A a^{2} c^{2} m^{3} + 6 \, A a^{2} c^{2} m^{2} + 4 \, A a^{2} c^{2} m + A a^{2} c^{2}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{6} + 120 \, {\left(m + 1\right)} n^{5} + 6 \, m^{5} + 274 \, {\left(m^{2} + 2 \, m + 1\right)} n^{4} + 15 \, m^{4} + 225 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{3} + 20 \, m^{3} + 85 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{2} + 15 \, m^{2} + 15 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n + 6 \, m + 1}"," ",0,"((B*b^2*d^2*m^5 + 5*B*b^2*d^2*m^4 + 10*B*b^2*d^2*m^3 + 10*B*b^2*d^2*m^2 + 5*B*b^2*d^2*m + B*b^2*d^2 + 24*(B*b^2*d^2*m + B*b^2*d^2)*n^4 + 50*(B*b^2*d^2*m^2 + 2*B*b^2*d^2*m + B*b^2*d^2)*n^3 + 35*(B*b^2*d^2*m^3 + 3*B*b^2*d^2*m^2 + 3*B*b^2*d^2*m + B*b^2*d^2)*n^2 + 10*(B*b^2*d^2*m^4 + 4*B*b^2*d^2*m^3 + 6*B*b^2*d^2*m^2 + 4*B*b^2*d^2*m + B*b^2*d^2)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^5 + 2*B*b^2*c*d + 5*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^4 + 30*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2 + (2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m)*n^4 + 10*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^3 + 61*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2 + (2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^2 + 2*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m)*n^3 + (2*B*a*b + A*b^2)*d^2 + 10*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^2 + 41*(2*B*b^2*c*d + (2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^3 + (2*B*a*b + A*b^2)*d^2 + 3*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^2 + 3*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m)*n^2 + 5*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m + 11*(2*B*b^2*c*d + (2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^4 + 4*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^3 + (2*B*a*b + A*b^2)*d^2 + 6*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m^2 + 4*(2*B*b^2*c*d + (2*B*a*b + A*b^2)*d^2)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^5 + B*b^2*c^2 + 5*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^4 + 40*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2 + (B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m)*n^4 + 10*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^3 + 78*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2 + (B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^2 + 2*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m)*n^3 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2 + 10*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^2 + 49*(B*b^2*c^2 + (B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^3 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2 + 3*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^2 + 3*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m)*n^2 + 5*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m + 12*(B*b^2*c^2 + (B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^4 + 4*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^3 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2 + 6*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m^2 + 4*(B*b^2*c^2 + 2*(2*B*a*b + A*b^2)*c*d + (B*a^2 + 2*A*a*b)*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^5 + A*a^2*d^2 + 5*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^4 + 60*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d + (A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m)*n^4 + 10*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^3 + 107*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d + (A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^2 + 2*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m)*n^3 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d + 10*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^2 + 59*(A*a^2*d^2 + (A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^3 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d + 3*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^2 + 3*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m)*n^2 + 5*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m + 13*(A*a^2*d^2 + (A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^4 + 4*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^3 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d + 6*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m^2 + 4*(A*a^2*d^2 + (2*B*a*b + A*b^2)*c^2 + 2*(B*a^2 + 2*A*a*b)*c*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^5 + 2*A*a^2*c*d + 5*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^4 + 120*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2 + (2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m)*n^4 + 10*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^3 + 154*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2 + (2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^2 + 2*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m)*n^3 + (B*a^2 + 2*A*a*b)*c^2 + 10*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^2 + 71*(2*A*a^2*c*d + (2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^3 + (B*a^2 + 2*A*a*b)*c^2 + 3*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^2 + 3*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m)*n^2 + 5*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m + 14*(2*A*a^2*c*d + (2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^4 + 4*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^3 + (B*a^2 + 2*A*a*b)*c^2 + 6*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m^2 + 4*(2*A*a^2*c*d + (B*a^2 + 2*A*a*b)*c^2)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^2*c^2*m^5 + 120*A*a^2*c^2*n^5 + 5*A*a^2*c^2*m^4 + 10*A*a^2*c^2*m^3 + 10*A*a^2*c^2*m^2 + 5*A*a^2*c^2*m + A*a^2*c^2 + 274*(A*a^2*c^2*m + A*a^2*c^2)*n^4 + 225*(A*a^2*c^2*m^2 + 2*A*a^2*c^2*m + A*a^2*c^2)*n^3 + 85*(A*a^2*c^2*m^3 + 3*A*a^2*c^2*m^2 + 3*A*a^2*c^2*m + A*a^2*c^2)*n^2 + 15*(A*a^2*c^2*m^4 + 4*A*a^2*c^2*m^3 + 6*A*a^2*c^2*m^2 + 4*A*a^2*c^2*m + A*a^2*c^2)*n)*x*e^(m*log(e) + m*log(x)))/(m^6 + 120*(m + 1)*n^5 + 6*m^5 + 274*(m^2 + 2*m + 1)*n^4 + 15*m^4 + 225*(m^3 + 3*m^2 + 3*m + 1)*n^3 + 20*m^3 + 85*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^2 + 15*m^2 + 15*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n + 6*m + 1)","B",0
10,1,1426,0,0.483965," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""fricas"")","\frac{{\left(B b d^{2} m^{4} + 4 \, B b d^{2} m^{3} + 6 \, B b d^{2} m^{2} + 4 \, B b d^{2} m + B b d^{2} + 6 \, {\left(B b d^{2} m + B b d^{2}\right)} n^{3} + 11 \, {\left(B b d^{2} m^{2} + 2 \, B b d^{2} m + B b d^{2}\right)} n^{2} + 6 \, {\left(B b d^{2} m^{3} + 3 \, B b d^{2} m^{2} + 3 \, B b d^{2} m + B b d^{2}\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{4} + 2 \, B b c d + 4 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{3} + 8 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2} + {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m\right)} n^{3} + {\left(B a + A b\right)} d^{2} + 6 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{2} + 14 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2} + {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{2} + 2 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m\right)} n^{2} + 4 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m + 7 \, {\left(2 \, B b c d + {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{3} + {\left(B a + A b\right)} d^{2} + 3 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m^{2} + 3 \, {\left(2 \, B b c d + {\left(B a + A b\right)} d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{4} + B b c^{2} + A a d^{2} + 4 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{3} + 12 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d + {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m\right)} n^{3} + 2 \, {\left(B a + A b\right)} c d + 6 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{2} + 19 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d + {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{2} + 2 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m\right)} n^{2} + 4 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m + 8 \, {\left(B b c^{2} + A a d^{2} + {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{3} + 2 \, {\left(B a + A b\right)} c d + 3 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m^{2} + 3 \, {\left(B b c^{2} + A a d^{2} + 2 \, {\left(B a + A b\right)} c d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{4} + 2 \, A a c d + 4 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{3} + 24 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2} + {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m\right)} n^{3} + {\left(B a + A b\right)} c^{2} + 6 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{2} + 26 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2} + {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{2} + 2 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m\right)} n^{2} + 4 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m + 9 \, {\left(2 \, A a c d + {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{3} + {\left(B a + A b\right)} c^{2} + 3 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m^{2} + 3 \, {\left(2 \, A a c d + {\left(B a + A b\right)} c^{2}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a c^{2} m^{4} + 24 \, A a c^{2} n^{4} + 4 \, A a c^{2} m^{3} + 6 \, A a c^{2} m^{2} + 4 \, A a c^{2} m + A a c^{2} + 50 \, {\left(A a c^{2} m + A a c^{2}\right)} n^{3} + 35 \, {\left(A a c^{2} m^{2} + 2 \, A a c^{2} m + A a c^{2}\right)} n^{2} + 10 \, {\left(A a c^{2} m^{3} + 3 \, A a c^{2} m^{2} + 3 \, A a c^{2} m + A a c^{2}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{5} + 24 \, {\left(m + 1\right)} n^{4} + 5 \, m^{4} + 50 \, {\left(m^{2} + 2 \, m + 1\right)} n^{3} + 10 \, m^{3} + 35 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{2} + 10 \, m^{2} + 10 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n + 5 \, m + 1}"," ",0,"((B*b*d^2*m^4 + 4*B*b*d^2*m^3 + 6*B*b*d^2*m^2 + 4*B*b*d^2*m + B*b*d^2 + 6*(B*b*d^2*m + B*b*d^2)*n^3 + 11*(B*b*d^2*m^2 + 2*B*b*d^2*m + B*b*d^2)*n^2 + 6*(B*b*d^2*m^3 + 3*B*b*d^2*m^2 + 3*B*b*d^2*m + B*b*d^2)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((2*B*b*c*d + (B*a + A*b)*d^2)*m^4 + 2*B*b*c*d + 4*(2*B*b*c*d + (B*a + A*b)*d^2)*m^3 + 8*(2*B*b*c*d + (B*a + A*b)*d^2 + (2*B*b*c*d + (B*a + A*b)*d^2)*m)*n^3 + (B*a + A*b)*d^2 + 6*(2*B*b*c*d + (B*a + A*b)*d^2)*m^2 + 14*(2*B*b*c*d + (B*a + A*b)*d^2 + (2*B*b*c*d + (B*a + A*b)*d^2)*m^2 + 2*(2*B*b*c*d + (B*a + A*b)*d^2)*m)*n^2 + 4*(2*B*b*c*d + (B*a + A*b)*d^2)*m + 7*(2*B*b*c*d + (2*B*b*c*d + (B*a + A*b)*d^2)*m^3 + (B*a + A*b)*d^2 + 3*(2*B*b*c*d + (B*a + A*b)*d^2)*m^2 + 3*(2*B*b*c*d + (B*a + A*b)*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^4 + B*b*c^2 + A*a*d^2 + 4*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^3 + 12*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d + (B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m)*n^3 + 2*(B*a + A*b)*c*d + 6*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^2 + 19*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d + (B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^2 + 2*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m)*n^2 + 4*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m + 8*(B*b*c^2 + A*a*d^2 + (B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^3 + 2*(B*a + A*b)*c*d + 3*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m^2 + 3*(B*b*c^2 + A*a*d^2 + 2*(B*a + A*b)*c*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((2*A*a*c*d + (B*a + A*b)*c^2)*m^4 + 2*A*a*c*d + 4*(2*A*a*c*d + (B*a + A*b)*c^2)*m^3 + 24*(2*A*a*c*d + (B*a + A*b)*c^2 + (2*A*a*c*d + (B*a + A*b)*c^2)*m)*n^3 + (B*a + A*b)*c^2 + 6*(2*A*a*c*d + (B*a + A*b)*c^2)*m^2 + 26*(2*A*a*c*d + (B*a + A*b)*c^2 + (2*A*a*c*d + (B*a + A*b)*c^2)*m^2 + 2*(2*A*a*c*d + (B*a + A*b)*c^2)*m)*n^2 + 4*(2*A*a*c*d + (B*a + A*b)*c^2)*m + 9*(2*A*a*c*d + (2*A*a*c*d + (B*a + A*b)*c^2)*m^3 + (B*a + A*b)*c^2 + 3*(2*A*a*c*d + (B*a + A*b)*c^2)*m^2 + 3*(2*A*a*c*d + (B*a + A*b)*c^2)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a*c^2*m^4 + 24*A*a*c^2*n^4 + 4*A*a*c^2*m^3 + 6*A*a*c^2*m^2 + 4*A*a*c^2*m + A*a*c^2 + 50*(A*a*c^2*m + A*a*c^2)*n^3 + 35*(A*a*c^2*m^2 + 2*A*a*c^2*m + A*a*c^2)*n^2 + 10*(A*a*c^2*m^3 + 3*A*a*c^2*m^2 + 3*A*a*c^2*m + A*a*c^2)*n)*x*e^(m*log(e) + m*log(x)))/(m^5 + 24*(m + 1)*n^4 + 5*m^4 + 50*(m^2 + 2*m + 1)*n^3 + 10*m^3 + 35*(m^3 + 3*m^2 + 3*m + 1)*n^2 + 10*m^2 + 10*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n + 5*m + 1)","B",0
11,1,527,0,0.449858," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2,x, algorithm=""fricas"")","\frac{{\left(B d^{2} m^{3} + 3 \, B d^{2} m^{2} + 3 \, B d^{2} m + B d^{2} + 2 \, {\left(B d^{2} m + B d^{2}\right)} n^{2} + 3 \, {\left(B d^{2} m^{2} + 2 \, B d^{2} m + B d^{2}\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(2 \, B c d + A d^{2}\right)} m^{3} + 2 \, B c d + A d^{2} + 3 \, {\left(2 \, B c d + A d^{2}\right)} m^{2} + 3 \, {\left(2 \, B c d + A d^{2} + {\left(2 \, B c d + A d^{2}\right)} m\right)} n^{2} + 3 \, {\left(2 \, B c d + A d^{2}\right)} m + 4 \, {\left(2 \, B c d + A d^{2} + {\left(2 \, B c d + A d^{2}\right)} m^{2} + 2 \, {\left(2 \, B c d + A d^{2}\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B c^{2} + 2 \, A c d\right)} m^{3} + B c^{2} + 2 \, A c d + 3 \, {\left(B c^{2} + 2 \, A c d\right)} m^{2} + 6 \, {\left(B c^{2} + 2 \, A c d + {\left(B c^{2} + 2 \, A c d\right)} m\right)} n^{2} + 3 \, {\left(B c^{2} + 2 \, A c d\right)} m + 5 \, {\left(B c^{2} + 2 \, A c d + {\left(B c^{2} + 2 \, A c d\right)} m^{2} + 2 \, {\left(B c^{2} + 2 \, A c d\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A c^{2} m^{3} + 6 \, A c^{2} n^{3} + 3 \, A c^{2} m^{2} + 3 \, A c^{2} m + A c^{2} + 11 \, {\left(A c^{2} m + A c^{2}\right)} n^{2} + 6 \, {\left(A c^{2} m^{2} + 2 \, A c^{2} m + A c^{2}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{4} + 6 \, {\left(m + 1\right)} n^{3} + 4 \, m^{3} + 11 \, {\left(m^{2} + 2 \, m + 1\right)} n^{2} + 6 \, m^{2} + 6 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n + 4 \, m + 1}"," ",0,"((B*d^2*m^3 + 3*B*d^2*m^2 + 3*B*d^2*m + B*d^2 + 2*(B*d^2*m + B*d^2)*n^2 + 3*(B*d^2*m^2 + 2*B*d^2*m + B*d^2)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((2*B*c*d + A*d^2)*m^3 + 2*B*c*d + A*d^2 + 3*(2*B*c*d + A*d^2)*m^2 + 3*(2*B*c*d + A*d^2 + (2*B*c*d + A*d^2)*m)*n^2 + 3*(2*B*c*d + A*d^2)*m + 4*(2*B*c*d + A*d^2 + (2*B*c*d + A*d^2)*m^2 + 2*(2*B*c*d + A*d^2)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((B*c^2 + 2*A*c*d)*m^3 + B*c^2 + 2*A*c*d + 3*(B*c^2 + 2*A*c*d)*m^2 + 6*(B*c^2 + 2*A*c*d + (B*c^2 + 2*A*c*d)*m)*n^2 + 3*(B*c^2 + 2*A*c*d)*m + 5*(B*c^2 + 2*A*c*d + (B*c^2 + 2*A*c*d)*m^2 + 2*(B*c^2 + 2*A*c*d)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*c^2*m^3 + 6*A*c^2*n^3 + 3*A*c^2*m^2 + 3*A*c^2*m + A*c^2 + 11*(A*c^2*m + A*c^2)*n^2 + 6*(A*c^2*m^2 + 2*A*c^2*m + A*c^2)*n)*x*e^(m*log(e) + m*log(x)))/(m^4 + 6*(m + 1)*n^3 + 4*m^3 + 11*(m^2 + 2*m + 1)*n^2 + 6*m^2 + 6*(m^3 + 3*m^2 + 3*m + 1)*n + 4*m + 1)","B",0
12,0,0,0,0.418743," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d^{2} x^{3 \, n} + A c^{2} + {\left(2 \, B c d + A d^{2}\right)} x^{2 \, n} + {\left(B c^{2} + 2 \, A c d\right)} x^{n}\right)} \left(e x\right)^{m}}{b x^{n} + a}, x\right)"," ",0,"integral((B*d^2*x^(3*n) + A*c^2 + (2*B*c*d + A*d^2)*x^(2*n) + (B*c^2 + 2*A*c*d)*x^n)*(e*x)^m/(b*x^n + a), x)","F",0
13,0,0,0,0.417169," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d^{2} x^{3 \, n} + A c^{2} + {\left(2 \, B c d + A d^{2}\right)} x^{2 \, n} + {\left(B c^{2} + 2 \, A c d\right)} x^{n}\right)} \left(e x\right)^{m}}{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}, x\right)"," ",0,"integral((B*d^2*x^(3*n) + A*c^2 + (2*B*c*d + A*d^2)*x^(2*n) + (B*c^2 + 2*A*c*d)*x^n)*(e*x)^m/(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
14,0,0,0,0.447174," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^2/(a+b*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d^{2} x^{3 \, n} + A c^{2} + {\left(2 \, B c d + A d^{2}\right)} x^{2 \, n} + {\left(B c^{2} + 2 \, A c d\right)} x^{n}\right)} \left(e x\right)^{m}}{b^{3} x^{3 \, n} + 3 \, a b^{2} x^{2 \, n} + 3 \, a^{2} b x^{n} + a^{3}}, x\right)"," ",0,"integral((B*d^2*x^(3*n) + A*c^2 + (2*B*c*d + A*d^2)*x^(2*n) + (B*c^2 + 2*A*c*d)*x^n)*(e*x)^m/(b^3*x^(3*n) + 3*a*b^2*x^(2*n) + 3*a^2*b*x^n + a^3), x)","F",0
15,1,11628,0,0.735149," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""fricas"")","\frac{{\left(B b^{3} d^{3} m^{7} + 7 \, B b^{3} d^{3} m^{6} + 21 \, B b^{3} d^{3} m^{5} + 35 \, B b^{3} d^{3} m^{4} + 35 \, B b^{3} d^{3} m^{3} + 21 \, B b^{3} d^{3} m^{2} + 7 \, B b^{3} d^{3} m + B b^{3} d^{3} + 720 \, {\left(B b^{3} d^{3} m + B b^{3} d^{3}\right)} n^{6} + 1764 \, {\left(B b^{3} d^{3} m^{2} + 2 \, B b^{3} d^{3} m + B b^{3} d^{3}\right)} n^{5} + 1624 \, {\left(B b^{3} d^{3} m^{3} + 3 \, B b^{3} d^{3} m^{2} + 3 \, B b^{3} d^{3} m + B b^{3} d^{3}\right)} n^{4} + 735 \, {\left(B b^{3} d^{3} m^{4} + 4 \, B b^{3} d^{3} m^{3} + 6 \, B b^{3} d^{3} m^{2} + 4 \, B b^{3} d^{3} m + B b^{3} d^{3}\right)} n^{3} + 175 \, {\left(B b^{3} d^{3} m^{5} + 5 \, B b^{3} d^{3} m^{4} + 10 \, B b^{3} d^{3} m^{3} + 10 \, B b^{3} d^{3} m^{2} + 5 \, B b^{3} d^{3} m + B b^{3} d^{3}\right)} n^{2} + 21 \, {\left(B b^{3} d^{3} m^{6} + 6 \, B b^{3} d^{3} m^{5} + 15 \, B b^{3} d^{3} m^{4} + 20 \, B b^{3} d^{3} m^{3} + 15 \, B b^{3} d^{3} m^{2} + 6 \, B b^{3} d^{3} m + B b^{3} d^{3}\right)} n\right)} x x^{7 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{7} + 3 \, B b^{3} c d^{2} + 7 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{6} + 840 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n^{6} + 21 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{5} + 2038 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 2 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n^{5} + 35 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{4} + 1849 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{3} + 3 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 3 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + 35 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{3} + 820 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + 4 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{3} + 6 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 4 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n^{3} + 21 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 190 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{5} + 5 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + 10 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{3} + 10 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 5 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n^{2} + 7 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m + 22 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{6} + 6 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{5} + 15 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3} + 20 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{3} + 15 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m^{2} + 6 \, {\left(3 \, B b^{3} c d^{2} + {\left(3 \, B a b^{2} + A b^{3}\right)} d^{3}\right)} m\right)} n\right)} x x^{6 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + 3 \, {\left({\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{7} + B b^{3} c^{2} d + 7 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{6} + 1008 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n^{6} + 21 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{5} + 2412 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 2 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n^{5} + 35 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{4} + 2144 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{3} + 3 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 3 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + 35 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{3} + 925 \, {\left(B b^{3} c^{2} d + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + 4 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{3} + 6 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 4 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n^{3} + 21 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 207 \, {\left(B b^{3} c^{2} d + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{5} + 5 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + 10 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{3} + 10 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 5 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n^{2} + 7 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m + 23 \, {\left(B b^{3} c^{2} d + {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{6} + 6 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{5} + 15 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3} + 20 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{3} + 15 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m^{2} + 6 \, {\left(B b^{3} c^{2} d + {\left(3 \, B a b^{2} + A b^{3}\right)} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} d^{3}\right)} m\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{7} + B b^{3} c^{3} + 7 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{6} + 1260 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n^{6} + 21 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{5} + 2952 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 2 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n^{5} + 35 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{4} + 2545 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{3} + 3 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 3 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + 35 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{3} + 1056 \, {\left(B b^{3} c^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + 4 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{3} + 6 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 4 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n^{3} + 21 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 226 \, {\left(B b^{3} c^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{5} + 5 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + 10 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{3} + 10 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 5 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n^{2} + 7 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m + 24 \, {\left(B b^{3} c^{3} + {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{6} + 6 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{5} + 15 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{4} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3} + 20 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{3} + 15 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m^{2} + 6 \, {\left(B b^{3} c^{3} + 3 \, {\left(3 \, B a b^{2} + A b^{3}\right)} c^{2} d + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c d^{2} + {\left(B a^{3} + 3 \, A a^{2} b\right)} d^{3}\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{7} + A a^{3} d^{3} + 7 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{6} + 1680 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n^{6} + 21 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{5} + 3796 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 2 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n^{5} + 35 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{4} + 3112 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{3} + 3 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 3 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + 35 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{3} + 1219 \, {\left(A a^{3} d^{3} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + 4 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{3} + 6 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 4 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n^{3} + 21 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 247 \, {\left(A a^{3} d^{3} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{5} + 5 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + 10 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{3} + 10 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 5 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n^{2} + 7 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m + 25 \, {\left(A a^{3} d^{3} + {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{6} + 6 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{5} + 15 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{4} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2} + 20 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{3} + 15 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m^{2} + 6 \, {\left(A a^{3} d^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} c^{3} + 9 \, {\left(B a^{2} b + A a b^{2}\right)} c^{2} d + 3 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} c d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + 3 \, {\left({\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{7} + A a^{3} c d^{2} + 7 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{6} + 2520 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n^{6} + 21 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{5} + 5274 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 2 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n^{5} + 35 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{4} + 3929 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{3} + 3 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 3 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n^{4} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + 35 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{3} + 1420 \, {\left(A a^{3} c d^{2} + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{4} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + 4 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{3} + 6 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 4 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n^{3} + 21 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 270 \, {\left(A a^{3} c d^{2} + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{5} + 5 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{4} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + 10 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{3} + 10 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 5 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n^{2} + 7 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m + 26 \, {\left(A a^{3} c d^{2} + {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{6} + 6 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{5} + 15 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{4} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d + 20 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{3} + 15 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m^{2} + 6 \, {\left(A a^{3} c d^{2} + {\left(B a^{2} b + A a b^{2}\right)} c^{3} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{2} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{7} + 3 \, A a^{3} c^{2} d + 7 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{6} + 5040 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n^{6} + 21 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{5} + 8028 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 2 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n^{5} + 35 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{4} + 5104 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{3} + 3 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 3 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n^{4} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + 35 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{3} + 1665 \, {\left(3 \, A a^{3} c^{2} d + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{4} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + 4 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{3} + 6 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 4 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n^{3} + 21 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 295 \, {\left(3 \, A a^{3} c^{2} d + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{5} + 5 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{4} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + 10 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{3} + 10 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 5 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n^{2} + 7 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m + 27 \, {\left(3 \, A a^{3} c^{2} d + {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{6} + 6 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{5} + 15 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{4} + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3} + 20 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{3} + 15 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m^{2} + 6 \, {\left(3 \, A a^{3} c^{2} d + {\left(B a^{3} + 3 \, A a^{2} b\right)} c^{3}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{3} c^{3} m^{7} + 5040 \, A a^{3} c^{3} n^{7} + 7 \, A a^{3} c^{3} m^{6} + 21 \, A a^{3} c^{3} m^{5} + 35 \, A a^{3} c^{3} m^{4} + 35 \, A a^{3} c^{3} m^{3} + 21 \, A a^{3} c^{3} m^{2} + 7 \, A a^{3} c^{3} m + A a^{3} c^{3} + 13068 \, {\left(A a^{3} c^{3} m + A a^{3} c^{3}\right)} n^{6} + 13132 \, {\left(A a^{3} c^{3} m^{2} + 2 \, A a^{3} c^{3} m + A a^{3} c^{3}\right)} n^{5} + 6769 \, {\left(A a^{3} c^{3} m^{3} + 3 \, A a^{3} c^{3} m^{2} + 3 \, A a^{3} c^{3} m + A a^{3} c^{3}\right)} n^{4} + 1960 \, {\left(A a^{3} c^{3} m^{4} + 4 \, A a^{3} c^{3} m^{3} + 6 \, A a^{3} c^{3} m^{2} + 4 \, A a^{3} c^{3} m + A a^{3} c^{3}\right)} n^{3} + 322 \, {\left(A a^{3} c^{3} m^{5} + 5 \, A a^{3} c^{3} m^{4} + 10 \, A a^{3} c^{3} m^{3} + 10 \, A a^{3} c^{3} m^{2} + 5 \, A a^{3} c^{3} m + A a^{3} c^{3}\right)} n^{2} + 28 \, {\left(A a^{3} c^{3} m^{6} + 6 \, A a^{3} c^{3} m^{5} + 15 \, A a^{3} c^{3} m^{4} + 20 \, A a^{3} c^{3} m^{3} + 15 \, A a^{3} c^{3} m^{2} + 6 \, A a^{3} c^{3} m + A a^{3} c^{3}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{8} + 5040 \, {\left(m + 1\right)} n^{7} + 8 \, m^{7} + 13068 \, {\left(m^{2} + 2 \, m + 1\right)} n^{6} + 28 \, m^{6} + 13132 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{5} + 56 \, m^{5} + 6769 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{4} + 70 \, m^{4} + 1960 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n^{3} + 56 \, m^{3} + 322 \, {\left(m^{6} + 6 \, m^{5} + 15 \, m^{4} + 20 \, m^{3} + 15 \, m^{2} + 6 \, m + 1\right)} n^{2} + 28 \, m^{2} + 28 \, {\left(m^{7} + 7 \, m^{6} + 21 \, m^{5} + 35 \, m^{4} + 35 \, m^{3} + 21 \, m^{2} + 7 \, m + 1\right)} n + 8 \, m + 1}"," ",0,"((B*b^3*d^3*m^7 + 7*B*b^3*d^3*m^6 + 21*B*b^3*d^3*m^5 + 35*B*b^3*d^3*m^4 + 35*B*b^3*d^3*m^3 + 21*B*b^3*d^3*m^2 + 7*B*b^3*d^3*m + B*b^3*d^3 + 720*(B*b^3*d^3*m + B*b^3*d^3)*n^6 + 1764*(B*b^3*d^3*m^2 + 2*B*b^3*d^3*m + B*b^3*d^3)*n^5 + 1624*(B*b^3*d^3*m^3 + 3*B*b^3*d^3*m^2 + 3*B*b^3*d^3*m + B*b^3*d^3)*n^4 + 735*(B*b^3*d^3*m^4 + 4*B*b^3*d^3*m^3 + 6*B*b^3*d^3*m^2 + 4*B*b^3*d^3*m + B*b^3*d^3)*n^3 + 175*(B*b^3*d^3*m^5 + 5*B*b^3*d^3*m^4 + 10*B*b^3*d^3*m^3 + 10*B*b^3*d^3*m^2 + 5*B*b^3*d^3*m + B*b^3*d^3)*n^2 + 21*(B*b^3*d^3*m^6 + 6*B*b^3*d^3*m^5 + 15*B*b^3*d^3*m^4 + 20*B*b^3*d^3*m^3 + 15*B*b^3*d^3*m^2 + 6*B*b^3*d^3*m + B*b^3*d^3)*n)*x*x^(7*n)*e^(m*log(e) + m*log(x)) + ((3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^7 + 3*B*b^3*c*d^2 + 7*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^6 + 840*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n^6 + 21*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^5 + 2038*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 2*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n^5 + 35*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^4 + 1849*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^3 + 3*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 3*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n^4 + (3*B*a*b^2 + A*b^3)*d^3 + 35*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^3 + 820*(3*B*b^3*c*d^2 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*d^3 + 4*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^3 + 6*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 4*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n^3 + 21*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 190*(3*B*b^3*c*d^2 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^5 + 5*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*d^3 + 10*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^3 + 10*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 5*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n^2 + 7*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m + 22*(3*B*b^3*c*d^2 + (3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^6 + 6*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^5 + 15*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*d^3 + 20*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^3 + 15*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m^2 + 6*(3*B*b^3*c*d^2 + (3*B*a*b^2 + A*b^3)*d^3)*m)*n)*x*x^(6*n)*e^(m*log(e) + m*log(x)) + 3*((B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^7 + B*b^3*c^2*d + 7*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^6 + 1008*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n^6 + 21*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^5 + 2412*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 2*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n^5 + 35*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^4 + 2144*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^3 + 3*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 3*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n^4 + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + 35*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^3 + 925*(B*b^3*c^2*d + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + 4*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^3 + 6*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 4*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n^3 + 21*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 207*(B*b^3*c^2*d + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^5 + 5*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + 10*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^3 + 10*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 5*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n^2 + 7*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m + 23*(B*b^3*c^2*d + (B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^6 + 6*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^5 + 15*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^4 + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3 + 20*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^3 + 15*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m^2 + 6*(B*b^3*c^2*d + (3*B*a*b^2 + A*b^3)*c*d^2 + (B*a^2*b + A*a*b^2)*d^3)*m)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^7 + B*b^3*c^3 + 7*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^6 + 1260*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n^6 + 21*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^5 + 2952*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 2*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n^5 + 35*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^4 + 2545*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^3 + 3*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 3*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n^4 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + 35*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^3 + 1056*(B*b^3*c^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^4 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + 4*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^3 + 6*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 4*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n^3 + 21*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 226*(B*b^3*c^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^5 + 5*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^4 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + 10*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^3 + 10*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 5*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n^2 + 7*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m + 24*(B*b^3*c^3 + (B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^6 + 6*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^5 + 15*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^4 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3 + 20*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^3 + 15*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m^2 + 6*(B*b^3*c^3 + 3*(3*B*a*b^2 + A*b^3)*c^2*d + 9*(B*a^2*b + A*a*b^2)*c*d^2 + (B*a^3 + 3*A*a^2*b)*d^3)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^7 + A*a^3*d^3 + 7*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^6 + 1680*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n^6 + 21*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^5 + 3796*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 2*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n^5 + 35*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^4 + 3112*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^3 + 3*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 3*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n^4 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + 35*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^3 + 1219*(A*a^3*d^3 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^4 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + 4*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^3 + 6*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 4*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n^3 + 21*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 247*(A*a^3*d^3 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^5 + 5*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^4 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + 10*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^3 + 10*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 5*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n^2 + 7*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m + 25*(A*a^3*d^3 + (A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^6 + 6*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^5 + 15*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^4 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2 + 20*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^3 + 15*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m^2 + 6*(A*a^3*d^3 + (3*B*a*b^2 + A*b^3)*c^3 + 9*(B*a^2*b + A*a*b^2)*c^2*d + 3*(B*a^3 + 3*A*a^2*b)*c*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + 3*((A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^7 + A*a^3*c*d^2 + 7*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^6 + 2520*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n^6 + 21*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^5 + 5274*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 2*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n^5 + 35*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^4 + 3929*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^3 + 3*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 3*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n^4 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + 35*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^3 + 1420*(A*a^3*c*d^2 + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^4 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + 4*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^3 + 6*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 4*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n^3 + 21*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 270*(A*a^3*c*d^2 + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^5 + 5*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^4 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + 10*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^3 + 10*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 5*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n^2 + 7*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m + 26*(A*a^3*c*d^2 + (A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^6 + 6*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^5 + 15*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^4 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d + 20*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^3 + 15*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m^2 + 6*(A*a^3*c*d^2 + (B*a^2*b + A*a*b^2)*c^3 + (B*a^3 + 3*A*a^2*b)*c^2*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^7 + 3*A*a^3*c^2*d + 7*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^6 + 5040*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3 + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n^6 + 21*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^5 + 8028*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3 + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 2*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n^5 + 35*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^4 + 5104*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3 + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^3 + 3*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 3*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n^4 + (B*a^3 + 3*A*a^2*b)*c^3 + 35*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^3 + 1665*(3*A*a^3*c^2*d + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^4 + (B*a^3 + 3*A*a^2*b)*c^3 + 4*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^3 + 6*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 4*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n^3 + 21*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 295*(3*A*a^3*c^2*d + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^5 + 5*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^4 + (B*a^3 + 3*A*a^2*b)*c^3 + 10*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^3 + 10*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 5*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n^2 + 7*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m + 27*(3*A*a^3*c^2*d + (3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^6 + 6*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^5 + 15*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^4 + (B*a^3 + 3*A*a^2*b)*c^3 + 20*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^3 + 15*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m^2 + 6*(3*A*a^3*c^2*d + (B*a^3 + 3*A*a^2*b)*c^3)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^3*c^3*m^7 + 5040*A*a^3*c^3*n^7 + 7*A*a^3*c^3*m^6 + 21*A*a^3*c^3*m^5 + 35*A*a^3*c^3*m^4 + 35*A*a^3*c^3*m^3 + 21*A*a^3*c^3*m^2 + 7*A*a^3*c^3*m + A*a^3*c^3 + 13068*(A*a^3*c^3*m + A*a^3*c^3)*n^6 + 13132*(A*a^3*c^3*m^2 + 2*A*a^3*c^3*m + A*a^3*c^3)*n^5 + 6769*(A*a^3*c^3*m^3 + 3*A*a^3*c^3*m^2 + 3*A*a^3*c^3*m + A*a^3*c^3)*n^4 + 1960*(A*a^3*c^3*m^4 + 4*A*a^3*c^3*m^3 + 6*A*a^3*c^3*m^2 + 4*A*a^3*c^3*m + A*a^3*c^3)*n^3 + 322*(A*a^3*c^3*m^5 + 5*A*a^3*c^3*m^4 + 10*A*a^3*c^3*m^3 + 10*A*a^3*c^3*m^2 + 5*A*a^3*c^3*m + A*a^3*c^3)*n^2 + 28*(A*a^3*c^3*m^6 + 6*A*a^3*c^3*m^5 + 15*A*a^3*c^3*m^4 + 20*A*a^3*c^3*m^3 + 15*A*a^3*c^3*m^2 + 6*A*a^3*c^3*m + A*a^3*c^3)*n)*x*e^(m*log(e) + m*log(x)))/(m^8 + 5040*(m + 1)*n^7 + 8*m^7 + 13068*(m^2 + 2*m + 1)*n^6 + 28*m^6 + 13132*(m^3 + 3*m^2 + 3*m + 1)*n^5 + 56*m^5 + 6769*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^4 + 70*m^4 + 1960*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n^3 + 56*m^3 + 322*(m^6 + 6*m^5 + 15*m^4 + 20*m^3 + 15*m^2 + 6*m + 1)*n^2 + 28*m^2 + 28*(m^7 + 7*m^6 + 21*m^5 + 35*m^4 + 35*m^3 + 21*m^2 + 7*m + 1)*n + 8*m + 1)","B",0
16,1,6557,0,0.576354," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""fricas"")","\frac{{\left(B b^{2} d^{3} m^{6} + 6 \, B b^{2} d^{3} m^{5} + 15 \, B b^{2} d^{3} m^{4} + 20 \, B b^{2} d^{3} m^{3} + 15 \, B b^{2} d^{3} m^{2} + 6 \, B b^{2} d^{3} m + B b^{2} d^{3} + 120 \, {\left(B b^{2} d^{3} m + B b^{2} d^{3}\right)} n^{5} + 274 \, {\left(B b^{2} d^{3} m^{2} + 2 \, B b^{2} d^{3} m + B b^{2} d^{3}\right)} n^{4} + 225 \, {\left(B b^{2} d^{3} m^{3} + 3 \, B b^{2} d^{3} m^{2} + 3 \, B b^{2} d^{3} m + B b^{2} d^{3}\right)} n^{3} + 85 \, {\left(B b^{2} d^{3} m^{4} + 4 \, B b^{2} d^{3} m^{3} + 6 \, B b^{2} d^{3} m^{2} + 4 \, B b^{2} d^{3} m + B b^{2} d^{3}\right)} n^{2} + 15 \, {\left(B b^{2} d^{3} m^{5} + 5 \, B b^{2} d^{3} m^{4} + 10 \, B b^{2} d^{3} m^{3} + 10 \, B b^{2} d^{3} m^{2} + 5 \, B b^{2} d^{3} m + B b^{2} d^{3}\right)} n\right)} x x^{6 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{6} + 3 \, B b^{2} c d^{2} + 6 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{5} + 144 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m\right)} n^{5} + 15 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{4} + 324 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{2} + 2 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m\right)} n^{4} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + 20 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{3} + 260 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{3} + 3 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{2} + 3 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m\right)} n^{3} + 15 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{2} + 95 \, {\left(3 \, B b^{2} c d^{2} + {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{4} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + 4 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{3} + 6 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{2} + 4 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m\right)} n^{2} + 6 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m + 16 \, {\left(3 \, B b^{2} c d^{2} + {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{5} + 5 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{4} + {\left(2 \, B a b + A b^{2}\right)} d^{3} + 10 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{3} + 10 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m^{2} + 5 \, {\left(3 \, B b^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} d^{3}\right)} m\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{6} + 3 \, B b^{2} c^{2} d + 6 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{5} + 180 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m\right)} n^{5} + 15 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{4} + 396 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{2} + 2 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m\right)} n^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + 20 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{3} + 307 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{3} + 3 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{2} + 3 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m\right)} n^{3} + 15 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{2} + 107 \, {\left(3 \, B b^{2} c^{2} d + {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + 4 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{3} + 6 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{2} + 4 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m\right)} n^{2} + 6 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m + 17 \, {\left(3 \, B b^{2} c^{2} d + {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{5} + 5 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3} + 10 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{3} + 10 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m^{2} + 5 \, {\left(3 \, B b^{2} c^{2} d + 3 \, {\left(2 \, B a b + A b^{2}\right)} c d^{2} + {\left(B a^{2} + 2 \, A a b\right)} d^{3}\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{6} + B b^{2} c^{3} + A a^{2} d^{3} + 6 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{5} + 240 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m\right)} n^{5} + 15 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{4} + 508 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{2} + 2 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m\right)} n^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + 20 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{3} + 372 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{3} + 3 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{2} + 3 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m\right)} n^{3} + 15 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{2} + 121 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + 4 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{3} + 6 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{2} + 4 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m\right)} n^{2} + 6 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m + 18 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{5} + 5 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{4} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2} + 10 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{3} + 10 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m^{2} + 5 \, {\left(B b^{2} c^{3} + A a^{2} d^{3} + 3 \, {\left(2 \, B a b + A b^{2}\right)} c^{2} d + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{6} + 3 \, A a^{2} c d^{2} + 6 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{5} + 360 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m\right)} n^{5} + 15 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{4} + 702 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{2} + 2 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m\right)} n^{4} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + 20 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{3} + 461 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{3} + 3 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{2} + 3 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m\right)} n^{3} + 15 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{2} + 137 \, {\left(3 \, A a^{2} c d^{2} + {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{4} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + 4 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{3} + 6 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{2} + 4 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m\right)} n^{2} + 6 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m + 19 \, {\left(3 \, A a^{2} c d^{2} + {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{5} + 5 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{4} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d + 10 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{3} + 10 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m^{2} + 5 \, {\left(3 \, A a^{2} c d^{2} + {\left(2 \, B a b + A b^{2}\right)} c^{3} + 3 \, {\left(B a^{2} + 2 \, A a b\right)} c^{2} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{6} + 3 \, A a^{2} c^{2} d + 6 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{5} + 720 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m\right)} n^{5} + 15 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{4} + 1044 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{2} + 2 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m\right)} n^{4} + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + 20 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{3} + 580 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{3} + 3 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{2} + 3 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m\right)} n^{3} + 15 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{2} + 155 \, {\left(3 \, A a^{2} c^{2} d + {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{4} + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + 4 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{3} + 6 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{2} + 4 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m\right)} n^{2} + 6 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m + 20 \, {\left(3 \, A a^{2} c^{2} d + {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{5} + 5 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{4} + {\left(B a^{2} + 2 \, A a b\right)} c^{3} + 10 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{3} + 10 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m^{2} + 5 \, {\left(3 \, A a^{2} c^{2} d + {\left(B a^{2} + 2 \, A a b\right)} c^{3}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a^{2} c^{3} m^{6} + 720 \, A a^{2} c^{3} n^{6} + 6 \, A a^{2} c^{3} m^{5} + 15 \, A a^{2} c^{3} m^{4} + 20 \, A a^{2} c^{3} m^{3} + 15 \, A a^{2} c^{3} m^{2} + 6 \, A a^{2} c^{3} m + A a^{2} c^{3} + 1764 \, {\left(A a^{2} c^{3} m + A a^{2} c^{3}\right)} n^{5} + 1624 \, {\left(A a^{2} c^{3} m^{2} + 2 \, A a^{2} c^{3} m + A a^{2} c^{3}\right)} n^{4} + 735 \, {\left(A a^{2} c^{3} m^{3} + 3 \, A a^{2} c^{3} m^{2} + 3 \, A a^{2} c^{3} m + A a^{2} c^{3}\right)} n^{3} + 175 \, {\left(A a^{2} c^{3} m^{4} + 4 \, A a^{2} c^{3} m^{3} + 6 \, A a^{2} c^{3} m^{2} + 4 \, A a^{2} c^{3} m + A a^{2} c^{3}\right)} n^{2} + 21 \, {\left(A a^{2} c^{3} m^{5} + 5 \, A a^{2} c^{3} m^{4} + 10 \, A a^{2} c^{3} m^{3} + 10 \, A a^{2} c^{3} m^{2} + 5 \, A a^{2} c^{3} m + A a^{2} c^{3}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{7} + 720 \, {\left(m + 1\right)} n^{6} + 7 \, m^{6} + 1764 \, {\left(m^{2} + 2 \, m + 1\right)} n^{5} + 21 \, m^{5} + 1624 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{4} + 35 \, m^{4} + 735 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{3} + 35 \, m^{3} + 175 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n^{2} + 21 \, m^{2} + 21 \, {\left(m^{6} + 6 \, m^{5} + 15 \, m^{4} + 20 \, m^{3} + 15 \, m^{2} + 6 \, m + 1\right)} n + 7 \, m + 1}"," ",0,"((B*b^2*d^3*m^6 + 6*B*b^2*d^3*m^5 + 15*B*b^2*d^3*m^4 + 20*B*b^2*d^3*m^3 + 15*B*b^2*d^3*m^2 + 6*B*b^2*d^3*m + B*b^2*d^3 + 120*(B*b^2*d^3*m + B*b^2*d^3)*n^5 + 274*(B*b^2*d^3*m^2 + 2*B*b^2*d^3*m + B*b^2*d^3)*n^4 + 225*(B*b^2*d^3*m^3 + 3*B*b^2*d^3*m^2 + 3*B*b^2*d^3*m + B*b^2*d^3)*n^3 + 85*(B*b^2*d^3*m^4 + 4*B*b^2*d^3*m^3 + 6*B*b^2*d^3*m^2 + 4*B*b^2*d^3*m + B*b^2*d^3)*n^2 + 15*(B*b^2*d^3*m^5 + 5*B*b^2*d^3*m^4 + 10*B*b^2*d^3*m^3 + 10*B*b^2*d^3*m^2 + 5*B*b^2*d^3*m + B*b^2*d^3)*n)*x*x^(6*n)*e^(m*log(e) + m*log(x)) + ((3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^6 + 3*B*b^2*c*d^2 + 6*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^5 + 144*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3 + (3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m)*n^5 + 15*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^4 + 324*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3 + (3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^2 + 2*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m)*n^4 + (2*B*a*b + A*b^2)*d^3 + 20*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^3 + 260*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3 + (3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^3 + 3*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^2 + 3*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m)*n^3 + 15*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^2 + 95*(3*B*b^2*c*d^2 + (3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^4 + (2*B*a*b + A*b^2)*d^3 + 4*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^3 + 6*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^2 + 4*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m)*n^2 + 6*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m + 16*(3*B*b^2*c*d^2 + (3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^5 + 5*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^4 + (2*B*a*b + A*b^2)*d^3 + 10*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^3 + 10*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m^2 + 5*(3*B*b^2*c*d^2 + (2*B*a*b + A*b^2)*d^3)*m)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^6 + 3*B*b^2*c^2*d + 6*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^5 + 180*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + (3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m)*n^5 + 15*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^4 + 396*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + (3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^2 + 2*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m)*n^4 + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + 20*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^3 + 307*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + (3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^3 + 3*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^2 + 3*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m)*n^3 + 15*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^2 + 107*(3*B*b^2*c^2*d + (3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^4 + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + 4*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^3 + 6*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^2 + 4*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m)*n^2 + 6*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m + 17*(3*B*b^2*c^2*d + (3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^5 + 5*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^4 + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3 + 10*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^3 + 10*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m^2 + 5*(3*B*b^2*c^2*d + 3*(2*B*a*b + A*b^2)*c*d^2 + (B*a^2 + 2*A*a*b)*d^3)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^6 + B*b^2*c^3 + A*a^2*d^3 + 6*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^5 + 240*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + (B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m)*n^5 + 15*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^4 + 508*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + (B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^2 + 2*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m)*n^4 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + 20*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^3 + 372*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + (B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^3 + 3*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^2 + 3*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m)*n^3 + 15*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^2 + 121*(B*b^2*c^3 + A*a^2*d^3 + (B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^4 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + 4*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^3 + 6*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^2 + 4*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m)*n^2 + 6*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m + 18*(B*b^2*c^3 + A*a^2*d^3 + (B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^5 + 5*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^4 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2 + 10*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^3 + 10*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m^2 + 5*(B*b^2*c^3 + A*a^2*d^3 + 3*(2*B*a*b + A*b^2)*c^2*d + 3*(B*a^2 + 2*A*a*b)*c*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^6 + 3*A*a^2*c*d^2 + 6*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^5 + 360*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + (3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m)*n^5 + 15*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^4 + 702*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + (3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^2 + 2*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m)*n^4 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + 20*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^3 + 461*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + (3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^3 + 3*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^2 + 3*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m)*n^3 + 15*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^2 + 137*(3*A*a^2*c*d^2 + (3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^4 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + 4*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^3 + 6*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^2 + 4*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m)*n^2 + 6*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m + 19*(3*A*a^2*c*d^2 + (3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^5 + 5*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^4 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d + 10*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^3 + 10*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m^2 + 5*(3*A*a^2*c*d^2 + (2*B*a*b + A*b^2)*c^3 + 3*(B*a^2 + 2*A*a*b)*c^2*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^6 + 3*A*a^2*c^2*d + 6*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^5 + 720*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3 + (3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m)*n^5 + 15*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^4 + 1044*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3 + (3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^2 + 2*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m)*n^4 + (B*a^2 + 2*A*a*b)*c^3 + 20*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^3 + 580*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3 + (3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^3 + 3*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^2 + 3*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m)*n^3 + 15*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^2 + 155*(3*A*a^2*c^2*d + (3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^4 + (B*a^2 + 2*A*a*b)*c^3 + 4*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^3 + 6*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^2 + 4*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m)*n^2 + 6*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m + 20*(3*A*a^2*c^2*d + (3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^5 + 5*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^4 + (B*a^2 + 2*A*a*b)*c^3 + 10*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^3 + 10*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m^2 + 5*(3*A*a^2*c^2*d + (B*a^2 + 2*A*a*b)*c^3)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a^2*c^3*m^6 + 720*A*a^2*c^3*n^6 + 6*A*a^2*c^3*m^5 + 15*A*a^2*c^3*m^4 + 20*A*a^2*c^3*m^3 + 15*A*a^2*c^3*m^2 + 6*A*a^2*c^3*m + A*a^2*c^3 + 1764*(A*a^2*c^3*m + A*a^2*c^3)*n^5 + 1624*(A*a^2*c^3*m^2 + 2*A*a^2*c^3*m + A*a^2*c^3)*n^4 + 735*(A*a^2*c^3*m^3 + 3*A*a^2*c^3*m^2 + 3*A*a^2*c^3*m + A*a^2*c^3)*n^3 + 175*(A*a^2*c^3*m^4 + 4*A*a^2*c^3*m^3 + 6*A*a^2*c^3*m^2 + 4*A*a^2*c^3*m + A*a^2*c^3)*n^2 + 21*(A*a^2*c^3*m^5 + 5*A*a^2*c^3*m^4 + 10*A*a^2*c^3*m^3 + 10*A*a^2*c^3*m^2 + 5*A*a^2*c^3*m + A*a^2*c^3)*n)*x*e^(m*log(e) + m*log(x)))/(m^7 + 720*(m + 1)*n^6 + 7*m^6 + 1764*(m^2 + 2*m + 1)*n^5 + 21*m^5 + 1624*(m^3 + 3*m^2 + 3*m + 1)*n^4 + 35*m^4 + 735*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^3 + 35*m^3 + 175*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n^2 + 21*m^2 + 21*(m^6 + 6*m^5 + 15*m^4 + 20*m^3 + 15*m^2 + 6*m + 1)*n + 7*m + 1)","B",0
17,1,2833,0,0.504881," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""fricas"")","\frac{{\left(B b d^{3} m^{5} + 5 \, B b d^{3} m^{4} + 10 \, B b d^{3} m^{3} + 10 \, B b d^{3} m^{2} + 5 \, B b d^{3} m + B b d^{3} + 24 \, {\left(B b d^{3} m + B b d^{3}\right)} n^{4} + 50 \, {\left(B b d^{3} m^{2} + 2 \, B b d^{3} m + B b d^{3}\right)} n^{3} + 35 \, {\left(B b d^{3} m^{3} + 3 \, B b d^{3} m^{2} + 3 \, B b d^{3} m + B b d^{3}\right)} n^{2} + 10 \, {\left(B b d^{3} m^{4} + 4 \, B b d^{3} m^{3} + 6 \, B b d^{3} m^{2} + 4 \, B b d^{3} m + B b d^{3}\right)} n\right)} x x^{5 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{5} + 3 \, B b c d^{2} + 5 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{4} + 30 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3} + {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m\right)} n^{4} + {\left(B a + A b\right)} d^{3} + 10 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{3} + 61 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3} + {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{2} + 2 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m\right)} n^{3} + 10 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{2} + 41 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3} + {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{3} + 3 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{2} + 3 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m\right)} n^{2} + 5 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m + 11 \, {\left(3 \, B b c d^{2} + {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{4} + {\left(B a + A b\right)} d^{3} + 4 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{3} + 6 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m^{2} + 4 \, {\left(3 \, B b c d^{2} + {\left(B a + A b\right)} d^{3}\right)} m\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{5} + 3 \, B b c^{2} d + A a d^{3} + 5 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{4} + 40 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2} + {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m\right)} n^{4} + 3 \, {\left(B a + A b\right)} c d^{2} + 10 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{3} + 78 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2} + {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{2} + 2 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m\right)} n^{3} + 10 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{2} + 49 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2} + {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{3} + 3 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{2} + 3 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m\right)} n^{2} + 5 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m + 12 \, {\left(3 \, B b c^{2} d + A a d^{3} + {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{4} + 3 \, {\left(B a + A b\right)} c d^{2} + 4 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{3} + 6 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m^{2} + 4 \, {\left(3 \, B b c^{2} d + A a d^{3} + 3 \, {\left(B a + A b\right)} c d^{2}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{5} + B b c^{3} + 3 \, A a c d^{2} + 5 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{4} + 60 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d + {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m\right)} n^{4} + 3 \, {\left(B a + A b\right)} c^{2} d + 10 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{3} + 107 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d + {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{2} + 2 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m\right)} n^{3} + 10 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{2} + 59 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d + {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{3} + 3 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{2} + 3 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m\right)} n^{2} + 5 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m + 13 \, {\left(B b c^{3} + 3 \, A a c d^{2} + {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{4} + 3 \, {\left(B a + A b\right)} c^{2} d + 4 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{3} + 6 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m^{2} + 4 \, {\left(B b c^{3} + 3 \, A a c d^{2} + 3 \, {\left(B a + A b\right)} c^{2} d\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{5} + 3 \, A a c^{2} d + 5 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{4} + 120 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3} + {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m\right)} n^{4} + {\left(B a + A b\right)} c^{3} + 10 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{3} + 154 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3} + {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{2} + 2 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m\right)} n^{3} + 10 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{2} + 71 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3} + {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{3} + 3 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{2} + 3 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m\right)} n^{2} + 5 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m + 14 \, {\left(3 \, A a c^{2} d + {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{4} + {\left(B a + A b\right)} c^{3} + 4 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{3} + 6 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m^{2} + 4 \, {\left(3 \, A a c^{2} d + {\left(B a + A b\right)} c^{3}\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A a c^{3} m^{5} + 120 \, A a c^{3} n^{5} + 5 \, A a c^{3} m^{4} + 10 \, A a c^{3} m^{3} + 10 \, A a c^{3} m^{2} + 5 \, A a c^{3} m + A a c^{3} + 274 \, {\left(A a c^{3} m + A a c^{3}\right)} n^{4} + 225 \, {\left(A a c^{3} m^{2} + 2 \, A a c^{3} m + A a c^{3}\right)} n^{3} + 85 \, {\left(A a c^{3} m^{3} + 3 \, A a c^{3} m^{2} + 3 \, A a c^{3} m + A a c^{3}\right)} n^{2} + 15 \, {\left(A a c^{3} m^{4} + 4 \, A a c^{3} m^{3} + 6 \, A a c^{3} m^{2} + 4 \, A a c^{3} m + A a c^{3}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{6} + 120 \, {\left(m + 1\right)} n^{5} + 6 \, m^{5} + 274 \, {\left(m^{2} + 2 \, m + 1\right)} n^{4} + 15 \, m^{4} + 225 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{3} + 20 \, m^{3} + 85 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n^{2} + 15 \, m^{2} + 15 \, {\left(m^{5} + 5 \, m^{4} + 10 \, m^{3} + 10 \, m^{2} + 5 \, m + 1\right)} n + 6 \, m + 1}"," ",0,"((B*b*d^3*m^5 + 5*B*b*d^3*m^4 + 10*B*b*d^3*m^3 + 10*B*b*d^3*m^2 + 5*B*b*d^3*m + B*b*d^3 + 24*(B*b*d^3*m + B*b*d^3)*n^4 + 50*(B*b*d^3*m^2 + 2*B*b*d^3*m + B*b*d^3)*n^3 + 35*(B*b*d^3*m^3 + 3*B*b*d^3*m^2 + 3*B*b*d^3*m + B*b*d^3)*n^2 + 10*(B*b*d^3*m^4 + 4*B*b*d^3*m^3 + 6*B*b*d^3*m^2 + 4*B*b*d^3*m + B*b*d^3)*n)*x*x^(5*n)*e^(m*log(e) + m*log(x)) + ((3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^5 + 3*B*b*c*d^2 + 5*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^4 + 30*(3*B*b*c*d^2 + (B*a + A*b)*d^3 + (3*B*b*c*d^2 + (B*a + A*b)*d^3)*m)*n^4 + (B*a + A*b)*d^3 + 10*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^3 + 61*(3*B*b*c*d^2 + (B*a + A*b)*d^3 + (3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^2 + 2*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m)*n^3 + 10*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^2 + 41*(3*B*b*c*d^2 + (B*a + A*b)*d^3 + (3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^3 + 3*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^2 + 3*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m)*n^2 + 5*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m + 11*(3*B*b*c*d^2 + (3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^4 + (B*a + A*b)*d^3 + 4*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^3 + 6*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m^2 + 4*(3*B*b*c*d^2 + (B*a + A*b)*d^3)*m)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^5 + 3*B*b*c^2*d + A*a*d^3 + 5*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^4 + 40*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2 + (3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m)*n^4 + 3*(B*a + A*b)*c*d^2 + 10*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^3 + 78*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2 + (3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^2 + 2*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m)*n^3 + 10*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^2 + 49*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2 + (3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^3 + 3*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^2 + 3*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m)*n^2 + 5*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m + 12*(3*B*b*c^2*d + A*a*d^3 + (3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^4 + 3*(B*a + A*b)*c*d^2 + 4*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^3 + 6*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m^2 + 4*(3*B*b*c^2*d + A*a*d^3 + 3*(B*a + A*b)*c*d^2)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + ((B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^5 + B*b*c^3 + 3*A*a*c*d^2 + 5*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^4 + 60*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d + (B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m)*n^4 + 3*(B*a + A*b)*c^2*d + 10*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^3 + 107*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d + (B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^2 + 2*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m)*n^3 + 10*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^2 + 59*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d + (B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^3 + 3*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^2 + 3*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m)*n^2 + 5*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m + 13*(B*b*c^3 + 3*A*a*c*d^2 + (B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^4 + 3*(B*a + A*b)*c^2*d + 4*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^3 + 6*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m^2 + 4*(B*b*c^3 + 3*A*a*c*d^2 + 3*(B*a + A*b)*c^2*d)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((3*A*a*c^2*d + (B*a + A*b)*c^3)*m^5 + 3*A*a*c^2*d + 5*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^4 + 120*(3*A*a*c^2*d + (B*a + A*b)*c^3 + (3*A*a*c^2*d + (B*a + A*b)*c^3)*m)*n^4 + (B*a + A*b)*c^3 + 10*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^3 + 154*(3*A*a*c^2*d + (B*a + A*b)*c^3 + (3*A*a*c^2*d + (B*a + A*b)*c^3)*m^2 + 2*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m)*n^3 + 10*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^2 + 71*(3*A*a*c^2*d + (B*a + A*b)*c^3 + (3*A*a*c^2*d + (B*a + A*b)*c^3)*m^3 + 3*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^2 + 3*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m)*n^2 + 5*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m + 14*(3*A*a*c^2*d + (3*A*a*c^2*d + (B*a + A*b)*c^3)*m^4 + (B*a + A*b)*c^3 + 4*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^3 + 6*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m^2 + 4*(3*A*a*c^2*d + (B*a + A*b)*c^3)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*a*c^3*m^5 + 120*A*a*c^3*n^5 + 5*A*a*c^3*m^4 + 10*A*a*c^3*m^3 + 10*A*a*c^3*m^2 + 5*A*a*c^3*m + A*a*c^3 + 274*(A*a*c^3*m + A*a*c^3)*n^4 + 225*(A*a*c^3*m^2 + 2*A*a*c^3*m + A*a*c^3)*n^3 + 85*(A*a*c^3*m^3 + 3*A*a*c^3*m^2 + 3*A*a*c^3*m + A*a*c^3)*n^2 + 15*(A*a*c^3*m^4 + 4*A*a*c^3*m^3 + 6*A*a*c^3*m^2 + 4*A*a*c^3*m + A*a*c^3)*n)*x*e^(m*log(e) + m*log(x)))/(m^6 + 120*(m + 1)*n^5 + 6*m^5 + 274*(m^2 + 2*m + 1)*n^4 + 15*m^4 + 225*(m^3 + 3*m^2 + 3*m + 1)*n^3 + 20*m^3 + 85*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n^2 + 15*m^2 + 15*(m^5 + 5*m^4 + 10*m^3 + 10*m^2 + 5*m + 1)*n + 6*m + 1)","B",0
18,1,1104,0,0.465554," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3,x, algorithm=""fricas"")","\frac{{\left(B d^{3} m^{4} + 4 \, B d^{3} m^{3} + 6 \, B d^{3} m^{2} + 4 \, B d^{3} m + B d^{3} + 6 \, {\left(B d^{3} m + B d^{3}\right)} n^{3} + 11 \, {\left(B d^{3} m^{2} + 2 \, B d^{3} m + B d^{3}\right)} n^{2} + 6 \, {\left(B d^{3} m^{3} + 3 \, B d^{3} m^{2} + 3 \, B d^{3} m + B d^{3}\right)} n\right)} x x^{4 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(3 \, B c d^{2} + A d^{3}\right)} m^{4} + 3 \, B c d^{2} + A d^{3} + 4 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m^{3} + 8 \, {\left(3 \, B c d^{2} + A d^{3} + {\left(3 \, B c d^{2} + A d^{3}\right)} m\right)} n^{3} + 6 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m^{2} + 14 \, {\left(3 \, B c d^{2} + A d^{3} + {\left(3 \, B c d^{2} + A d^{3}\right)} m^{2} + 2 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m\right)} n^{2} + 4 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m + 7 \, {\left(3 \, B c d^{2} + A d^{3} + {\left(3 \, B c d^{2} + A d^{3}\right)} m^{3} + 3 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m^{2} + 3 \, {\left(3 \, B c d^{2} + A d^{3}\right)} m\right)} n\right)} x x^{3 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + 3 \, {\left({\left(B c^{2} d + A c d^{2}\right)} m^{4} + B c^{2} d + A c d^{2} + 4 \, {\left(B c^{2} d + A c d^{2}\right)} m^{3} + 12 \, {\left(B c^{2} d + A c d^{2} + {\left(B c^{2} d + A c d^{2}\right)} m\right)} n^{3} + 6 \, {\left(B c^{2} d + A c d^{2}\right)} m^{2} + 19 \, {\left(B c^{2} d + A c d^{2} + {\left(B c^{2} d + A c d^{2}\right)} m^{2} + 2 \, {\left(B c^{2} d + A c d^{2}\right)} m\right)} n^{2} + 4 \, {\left(B c^{2} d + A c d^{2}\right)} m + 8 \, {\left(B c^{2} d + A c d^{2} + {\left(B c^{2} d + A c d^{2}\right)} m^{3} + 3 \, {\left(B c^{2} d + A c d^{2}\right)} m^{2} + 3 \, {\left(B c^{2} d + A c d^{2}\right)} m\right)} n\right)} x x^{2 \, n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left({\left(B c^{3} + 3 \, A c^{2} d\right)} m^{4} + B c^{3} + 3 \, A c^{2} d + 4 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m^{3} + 24 \, {\left(B c^{3} + 3 \, A c^{2} d + {\left(B c^{3} + 3 \, A c^{2} d\right)} m\right)} n^{3} + 6 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m^{2} + 26 \, {\left(B c^{3} + 3 \, A c^{2} d + {\left(B c^{3} + 3 \, A c^{2} d\right)} m^{2} + 2 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m\right)} n^{2} + 4 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m + 9 \, {\left(B c^{3} + 3 \, A c^{2} d + {\left(B c^{3} + 3 \, A c^{2} d\right)} m^{3} + 3 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m^{2} + 3 \, {\left(B c^{3} + 3 \, A c^{2} d\right)} m\right)} n\right)} x x^{n} e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)} + {\left(A c^{3} m^{4} + 24 \, A c^{3} n^{4} + 4 \, A c^{3} m^{3} + 6 \, A c^{3} m^{2} + 4 \, A c^{3} m + A c^{3} + 50 \, {\left(A c^{3} m + A c^{3}\right)} n^{3} + 35 \, {\left(A c^{3} m^{2} + 2 \, A c^{3} m + A c^{3}\right)} n^{2} + 10 \, {\left(A c^{3} m^{3} + 3 \, A c^{3} m^{2} + 3 \, A c^{3} m + A c^{3}\right)} n\right)} x e^{\left(m \log\left(e\right) + m \log\left(x\right)\right)}}{m^{5} + 24 \, {\left(m + 1\right)} n^{4} + 5 \, m^{4} + 50 \, {\left(m^{2} + 2 \, m + 1\right)} n^{3} + 10 \, m^{3} + 35 \, {\left(m^{3} + 3 \, m^{2} + 3 \, m + 1\right)} n^{2} + 10 \, m^{2} + 10 \, {\left(m^{4} + 4 \, m^{3} + 6 \, m^{2} + 4 \, m + 1\right)} n + 5 \, m + 1}"," ",0,"((B*d^3*m^4 + 4*B*d^3*m^3 + 6*B*d^3*m^2 + 4*B*d^3*m + B*d^3 + 6*(B*d^3*m + B*d^3)*n^3 + 11*(B*d^3*m^2 + 2*B*d^3*m + B*d^3)*n^2 + 6*(B*d^3*m^3 + 3*B*d^3*m^2 + 3*B*d^3*m + B*d^3)*n)*x*x^(4*n)*e^(m*log(e) + m*log(x)) + ((3*B*c*d^2 + A*d^3)*m^4 + 3*B*c*d^2 + A*d^3 + 4*(3*B*c*d^2 + A*d^3)*m^3 + 8*(3*B*c*d^2 + A*d^3 + (3*B*c*d^2 + A*d^3)*m)*n^3 + 6*(3*B*c*d^2 + A*d^3)*m^2 + 14*(3*B*c*d^2 + A*d^3 + (3*B*c*d^2 + A*d^3)*m^2 + 2*(3*B*c*d^2 + A*d^3)*m)*n^2 + 4*(3*B*c*d^2 + A*d^3)*m + 7*(3*B*c*d^2 + A*d^3 + (3*B*c*d^2 + A*d^3)*m^3 + 3*(3*B*c*d^2 + A*d^3)*m^2 + 3*(3*B*c*d^2 + A*d^3)*m)*n)*x*x^(3*n)*e^(m*log(e) + m*log(x)) + 3*((B*c^2*d + A*c*d^2)*m^4 + B*c^2*d + A*c*d^2 + 4*(B*c^2*d + A*c*d^2)*m^3 + 12*(B*c^2*d + A*c*d^2 + (B*c^2*d + A*c*d^2)*m)*n^3 + 6*(B*c^2*d + A*c*d^2)*m^2 + 19*(B*c^2*d + A*c*d^2 + (B*c^2*d + A*c*d^2)*m^2 + 2*(B*c^2*d + A*c*d^2)*m)*n^2 + 4*(B*c^2*d + A*c*d^2)*m + 8*(B*c^2*d + A*c*d^2 + (B*c^2*d + A*c*d^2)*m^3 + 3*(B*c^2*d + A*c*d^2)*m^2 + 3*(B*c^2*d + A*c*d^2)*m)*n)*x*x^(2*n)*e^(m*log(e) + m*log(x)) + ((B*c^3 + 3*A*c^2*d)*m^4 + B*c^3 + 3*A*c^2*d + 4*(B*c^3 + 3*A*c^2*d)*m^3 + 24*(B*c^3 + 3*A*c^2*d + (B*c^3 + 3*A*c^2*d)*m)*n^3 + 6*(B*c^3 + 3*A*c^2*d)*m^2 + 26*(B*c^3 + 3*A*c^2*d + (B*c^3 + 3*A*c^2*d)*m^2 + 2*(B*c^3 + 3*A*c^2*d)*m)*n^2 + 4*(B*c^3 + 3*A*c^2*d)*m + 9*(B*c^3 + 3*A*c^2*d + (B*c^3 + 3*A*c^2*d)*m^3 + 3*(B*c^3 + 3*A*c^2*d)*m^2 + 3*(B*c^3 + 3*A*c^2*d)*m)*n)*x*x^n*e^(m*log(e) + m*log(x)) + (A*c^3*m^4 + 24*A*c^3*n^4 + 4*A*c^3*m^3 + 6*A*c^3*m^2 + 4*A*c^3*m + A*c^3 + 50*(A*c^3*m + A*c^3)*n^3 + 35*(A*c^3*m^2 + 2*A*c^3*m + A*c^3)*n^2 + 10*(A*c^3*m^3 + 3*A*c^3*m^2 + 3*A*c^3*m + A*c^3)*n)*x*e^(m*log(e) + m*log(x)))/(m^5 + 24*(m + 1)*n^4 + 5*m^4 + 50*(m^2 + 2*m + 1)*n^3 + 10*m^3 + 35*(m^3 + 3*m^2 + 3*m + 1)*n^2 + 10*m^2 + 10*(m^4 + 4*m^3 + 6*m^2 + 4*m + 1)*n + 5*m + 1)","B",0
19,0,0,0,0.428652," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3/(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d^{3} x^{4 \, n} + A c^{3} + {\left(3 \, B c d^{2} + A d^{3}\right)} x^{3 \, n} + 3 \, {\left(B c^{2} d + A c d^{2}\right)} x^{2 \, n} + {\left(B c^{3} + 3 \, A c^{2} d\right)} x^{n}\right)} \left(e x\right)^{m}}{b x^{n} + a}, x\right)"," ",0,"integral((B*d^3*x^(4*n) + A*c^3 + (3*B*c*d^2 + A*d^3)*x^(3*n) + 3*(B*c^2*d + A*c*d^2)*x^(2*n) + (B*c^3 + 3*A*c^2*d)*x^n)*(e*x)^m/(b*x^n + a), x)","F",0
20,0,0,0,0.440399," ","integrate((e*x)^m*(A+B*x^n)*(c+d*x^n)^3/(a+b*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B d^{3} x^{4 \, n} + A c^{3} + {\left(3 \, B c d^{2} + A d^{3}\right)} x^{3 \, n} + 3 \, {\left(B c^{2} d + A c d^{2}\right)} x^{2 \, n} + {\left(B c^{3} + 3 \, A c^{2} d\right)} x^{n}\right)} \left(e x\right)^{m}}{b^{2} x^{2 \, n} + 2 \, a b x^{n} + a^{2}}, x\right)"," ",0,"integral((B*d^3*x^(4*n) + A*c^3 + (3*B*c*d^2 + A*d^3)*x^(3*n) + 3*(B*c^2*d + A*c*d^2)*x^(2*n) + (B*c^3 + 3*A*c^2*d)*x^n)*(e*x)^m/(b^2*x^(2*n) + 2*a*b*x^n + a^2), x)","F",0
21,0,0,0,0.418631," ","integrate((e*x)^m*(a+b*x^n)^4*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{4} x^{5 \, n} + A a^{4} + {\left(4 \, B a b^{3} + A b^{4}\right)} x^{4 \, n} + 2 \, {\left(3 \, B a^{2} b^{2} + 2 \, A a b^{3}\right)} x^{3 \, n} + 2 \, {\left(2 \, B a^{3} b + 3 \, A a^{2} b^{2}\right)} x^{2 \, n} + {\left(B a^{4} + 4 \, A a^{3} b\right)} x^{n}\right)} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*b^4*x^(5*n) + A*a^4 + (4*B*a*b^3 + A*b^4)*x^(4*n) + 2*(3*B*a^2*b^2 + 2*A*a*b^3)*x^(3*n) + 2*(2*B*a^3*b + 3*A*a^2*b^2)*x^(2*n) + (B*a^4 + 4*A*a^3*b)*x^n)*(e*x)^m/(d*x^n + c), x)","F",0
22,0,0,0,0.415806," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{3} x^{4 \, n} + A a^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} x^{3 \, n} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} x^{2 \, n} + {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{n}\right)} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*b^3*x^(4*n) + A*a^3 + (3*B*a*b^2 + A*b^3)*x^(3*n) + 3*(B*a^2*b + A*a*b^2)*x^(2*n) + (B*a^3 + 3*A*a^2*b)*x^n)*(e*x)^m/(d*x^n + c), x)","F",0
23,0,0,0,0.426100," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{2} x^{3 \, n} + A a^{2} + {\left(2 \, B a b + A b^{2}\right)} x^{2 \, n} + {\left(B a^{2} + 2 \, A a b\right)} x^{n}\right)} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*b^2*x^(3*n) + A*a^2 + (2*B*a*b + A*b^2)*x^(2*n) + (B*a^2 + 2*A*a*b)*x^n)*(e*x)^m/(d*x^n + c), x)","F",0
24,0,0,0,0.416832," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b x^{2 \, n} + A a + {\left(B a + A b\right)} x^{n}\right)} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*b*x^(2*n) + A*a + (B*a + A*b)*x^n)*(e*x)^m/(d*x^n + c), x)","F",0
25,0,0,0,0.426075," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(d*x^n + c), x)","F",0
26,0,0,0,0.439762," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b d x^{2 \, n} + a c + {\left(b c + a d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b*d*x^(2*n) + a*c + (b*c + a*d)*x^n), x)","F",0
27,0,0,0,0.461470," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b^{2} d x^{3 \, n} + a^{2} c + {\left(b^{2} c + 2 \, a b d\right)} x^{2 \, n} + {\left(2 \, a b c + a^{2} d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b^2*d*x^(3*n) + a^2*c + (b^2*c + 2*a*b*d)*x^(2*n) + (2*a*b*c + a^2*d)*x^n), x)","F",0
28,0,0,0,0.565906," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^3/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b^{3} d x^{4 \, n} + a^{3} c + {\left(b^{3} c + 3 \, a b^{2} d\right)} x^{3 \, n} + 3 \, {\left(a b^{2} c + a^{2} b d\right)} x^{2 \, n} + {\left(3 \, a^{2} b c + a^{3} d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b^3*d*x^(4*n) + a^3*c + (b^3*c + 3*a*b^2*d)*x^(3*n) + 3*(a*b^2*c + a^2*b*d)*x^(2*n) + (3*a^2*b*c + a^3*d)*x^n), x)","F",0
29,0,0,0,0.439417," ","integrate((e*x)^m*(a+b*x^n)^3*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{3} x^{4 \, n} + A a^{3} + {\left(3 \, B a b^{2} + A b^{3}\right)} x^{3 \, n} + 3 \, {\left(B a^{2} b + A a b^{2}\right)} x^{2 \, n} + {\left(B a^{3} + 3 \, A a^{2} b\right)} x^{n}\right)} \left(e x\right)^{m}}{d^{2} x^{2 \, n} + 2 \, c d x^{n} + c^{2}}, x\right)"," ",0,"integral((B*b^3*x^(4*n) + A*a^3 + (3*B*a*b^2 + A*b^3)*x^(3*n) + 3*(B*a^2*b + A*a*b^2)*x^(2*n) + (B*a^3 + 3*A*a^2*b)*x^n)*(e*x)^m/(d^2*x^(2*n) + 2*c*d*x^n + c^2), x)","F",0
30,0,0,0,0.433994," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{2} x^{3 \, n} + A a^{2} + {\left(2 \, B a b + A b^{2}\right)} x^{2 \, n} + {\left(B a^{2} + 2 \, A a b\right)} x^{n}\right)} \left(e x\right)^{m}}{d^{2} x^{2 \, n} + 2 \, c d x^{n} + c^{2}}, x\right)"," ",0,"integral((B*b^2*x^(3*n) + A*a^2 + (2*B*a*b + A*b^2)*x^(2*n) + (B*a^2 + 2*A*a*b)*x^n)*(e*x)^m/(d^2*x^(2*n) + 2*c*d*x^n + c^2), x)","F",0
31,0,0,0,0.421873," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b x^{2 \, n} + A a + {\left(B a + A b\right)} x^{n}\right)} \left(e x\right)^{m}}{d^{2} x^{2 \, n} + 2 \, c d x^{n} + c^{2}}, x\right)"," ",0,"integral((B*b*x^(2*n) + A*a + (B*a + A*b)*x^n)*(e*x)^m/(d^2*x^(2*n) + 2*c*d*x^n + c^2), x)","F",0
32,0,0,0,0.427444," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{d^{2} x^{2 \, n} + 2 \, c d x^{n} + c^{2}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(d^2*x^(2*n) + 2*c*d*x^n + c^2), x)","F",0
33,0,0,0,0.435756," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b d^{2} x^{3 \, n} + a c^{2} + {\left(2 \, b c d + a d^{2}\right)} x^{2 \, n} + {\left(b c^{2} + 2 \, a c d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b*d^2*x^(3*n) + a*c^2 + (2*b*c*d + a*d^2)*x^(2*n) + (b*c^2 + 2*a*c*d)*x^n), x)","F",0
34,0,0,0,0.527545," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b^{2} d^{2} x^{4 \, n} + a^{2} c^{2} + 2 \, {\left(b^{2} c d + a b d^{2}\right)} x^{3 \, n} + {\left(b^{2} c^{2} + 4 \, a b c d + a^{2} d^{2}\right)} x^{2 \, n} + 2 \, {\left(a b c^{2} + a^{2} c d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b^2*d^2*x^(4*n) + a^2*c^2 + 2*(b^2*c*d + a*b*d^2)*x^(3*n) + (b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^(2*n) + 2*(a*b*c^2 + a^2*c*d)*x^n), x)","F",0
35,0,0,0,0.703963," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^3/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b^{3} d^{2} x^{5 \, n} + a^{3} c^{2} + {\left(2 \, b^{3} c d + 3 \, a b^{2} d^{2}\right)} x^{4 \, n} + {\left(b^{3} c^{2} + 6 \, a b^{2} c d + 3 \, a^{2} b d^{2}\right)} x^{3 \, n} + {\left(3 \, a b^{2} c^{2} + 6 \, a^{2} b c d + a^{3} d^{2}\right)} x^{2 \, n} + {\left(3 \, a^{2} b c^{2} + 2 \, a^{3} c d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b^3*d^2*x^(5*n) + a^3*c^2 + (2*b^3*c*d + 3*a*b^2*d^2)*x^(4*n) + (b^3*c^2 + 6*a*b^2*c*d + 3*a^2*b*d^2)*x^(3*n) + (3*a*b^2*c^2 + 6*a^2*b*c*d + a^3*d^2)*x^(2*n) + (3*a^2*b*c^2 + 2*a^3*c*d)*x^n), x)","F",0
36,0,0,0,0.450013," ","integrate((e*x)^m*(a+b*x^n)^2*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b^{2} x^{3 \, n} + A a^{2} + {\left(2 \, B a b + A b^{2}\right)} x^{2 \, n} + {\left(B a^{2} + 2 \, A a b\right)} x^{n}\right)} \left(e x\right)^{m}}{d^{3} x^{3 \, n} + 3 \, c d^{2} x^{2 \, n} + 3 \, c^{2} d x^{n} + c^{3}}, x\right)"," ",0,"integral((B*b^2*x^(3*n) + A*a^2 + (2*B*a*b + A*b^2)*x^(2*n) + (B*a^2 + 2*A*a*b)*x^n)*(e*x)^m/(d^3*x^(3*n) + 3*c*d^2*x^(2*n) + 3*c^2*d*x^n + c^3), x)","F",0
37,0,0,0,0.442091," ","integrate((e*x)^m*(a+b*x^n)*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B b x^{2 \, n} + A a + {\left(B a + A b\right)} x^{n}\right)} \left(e x\right)^{m}}{d^{3} x^{3 \, n} + 3 \, c d^{2} x^{2 \, n} + 3 \, c^{2} d x^{n} + c^{3}}, x\right)"," ",0,"integral((B*b*x^(2*n) + A*a + (B*a + A*b)*x^n)*(e*x)^m/(d^3*x^(3*n) + 3*c*d^2*x^(2*n) + 3*c^2*d*x^n + c^3), x)","F",0
38,0,0,0,0.440310," ","integrate((e*x)^m*(A+B*x^n)/(c+d*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{d^{3} x^{3 \, n} + 3 \, c d^{2} x^{2 \, n} + 3 \, c^{2} d x^{n} + c^{3}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(d^3*x^(3*n) + 3*c*d^2*x^(2*n) + 3*c^2*d*x^n + c^3), x)","F",0
39,0,0,0,0.538127," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)/(c+d*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b d^{3} x^{4 \, n} + a c^{3} + {\left(3 \, b c d^{2} + a d^{3}\right)} x^{3 \, n} + 3 \, {\left(b c^{2} d + a c d^{2}\right)} x^{2 \, n} + {\left(b c^{3} + 3 \, a c^{2} d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b*d^3*x^(4*n) + a*c^3 + (3*b*c*d^2 + a*d^3)*x^(3*n) + 3*(b*c^2*d + a*c*d^2)*x^(2*n) + (b*c^3 + 3*a*c^2*d)*x^n), x)","F",0
40,0,0,0,0.805388," ","integrate((e*x)^m*(A+B*x^n)/(a+b*x^n)^2/(c+d*x^n)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} \left(e x\right)^{m}}{b^{2} d^{3} x^{5 \, n} + a^{2} c^{3} + {\left(3 \, b^{2} c d^{2} + 2 \, a b d^{3}\right)} x^{4 \, n} + {\left(3 \, b^{2} c^{2} d + 6 \, a b c d^{2} + a^{2} d^{3}\right)} x^{3 \, n} + {\left(b^{2} c^{3} + 6 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} x^{2 \, n} + {\left(2 \, a b c^{3} + 3 \, a^{2} c^{2} d\right)} x^{n}}, x\right)"," ",0,"integral((B*x^n + A)*(e*x)^m/(b^2*d^3*x^(5*n) + a^2*c^3 + (3*b^2*c*d^2 + 2*a*b*d^3)*x^(4*n) + (3*b^2*c^2*d + 6*a*b*c*d^2 + a^2*d^3)*x^(3*n) + (b^2*c^3 + 6*a*b*c^2*d + 3*a^2*c*d^2)*x^(2*n) + (2*a*b*c^3 + 3*a^2*c^2*d)*x^n), x)","F",0
41,0,0,0,0.452382," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)*(c+d*x^n)^q,x, algorithm=""fricas"")","{\rm integral}\left({\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} {\left(d x^{n} + c\right)}^{q} \left(e x\right)^{m}, x\right)"," ",0,"integral((B*x^n + A)*(b*x^n + a)^p*(d*x^n + c)^q*(e*x)^m, x)","F",0
42,0,0,0,0.441912," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)*(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left({\left(B d x^{2 \, n} + A c + {\left(B c + A d\right)} x^{n}\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}, x\right)"," ",0,"integral((B*d*x^(2*n) + A*c + (B*c + A*d)*x^n)*(b*x^n + a)^p*(e*x)^m, x)","F",0
43,0,0,0,0.434721," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)/(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}}{d x^{n} + c}, x\right)"," ",0,"integral((B*x^n + A)*(b*x^n + a)^p*(e*x)^m/(d*x^n + c), x)","F",0
44,0,0,0,0.447292," ","integrate((e*x)^m*(a+b*x^n)^p*(A+B*x^n)/(c+d*x^n)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(B x^{n} + A\right)} {\left(b x^{n} + a\right)}^{p} \left(e x\right)^{m}}{d^{2} x^{2 \, n} + 2 \, c d x^{n} + c^{2}}, x\right)"," ",0,"integral((B*x^n + A)*(b*x^n + a)^p*(e*x)^m/(d^2*x^(2*n) + 2*c*d*x^n + c^2), x)","F",0
45,0,0,0,0.443763," ","integrate((-a+b*x^(1/2*n))^(-1+1/n)*(a+b*x^(1/2*n))^(-1+1/n)*(c+d*x^n)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{n} + c}{{\left(b x^{\frac{1}{2} \, n} + a\right)}^{\frac{n - 1}{n}} {\left(b x^{\frac{1}{2} \, n} - a\right)}^{\frac{n - 1}{n}} x^{2}}, x\right)"," ",0,"integral((d*x^n + c)/((b*x^(1/2*n) + a)^((n - 1)/n)*(b*x^(1/2*n) - a)^((n - 1)/n)*x^2), x)","F",0
46,0,0,0,0.459928," ","integrate((-a+b*x^(1/2*n))^((1-n)/n)*(a+b*x^(1/2*n))^((1-n)/n)*(c+d*x^n)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{d x^{n} + c}{{\left(b x^{\frac{1}{2} \, n} + a\right)}^{\frac{n - 1}{n}} {\left(b x^{\frac{1}{2} \, n} - a\right)}^{\frac{n - 1}{n}} x^{2}}, x\right)"," ",0,"integral((d*x^n + c)/((b*x^(1/2*n) + a)^((n - 1)/n)*(b*x^(1/2*n) - a)^((n - 1)/n)*x^2), x)","F",0
