1,1,7284,200,0.179000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
2,1,4593,170,0.155000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"1/12/d^3*B*g^2*i*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^4+1/12*d*B*g^2*i/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^4+1/2/d*B*g^2*i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c^2-1/3*B*g^2*i/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3*c-1/3*e*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*c+5/24*d*e^2*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4+1/2*d*e^2*A*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4+1/12*d*e*B*g^2*i/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4+1/12*d*e^3*B*g^2*i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4+1/12/d^3*e*B*g^2*i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4+2/3*d*e^3*A*g^2*i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4+2/3/d^3*e^3*A*g^2*i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4+1/4/d^3*e^4*A*g^2*i*b^6/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^4+5/24/d^3*e^2*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^4*c^4+1/2/d^3*e^2*A*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^4*c^4+1/12/d^3*e^3*B*g^2*i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4+1/4*d*e^4*A*g^2*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4-1/3*e^3*B*g^2*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c-5/6*e^2*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*b*c-2*e^2*A*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*b*c-8/3*e^3*A*g^2*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c-e^4*A*g^2*i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c+1/2*d*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4-1/3/d^2*B*g^2*i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c^3*b-1/2/d^3*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^6/(d*x+c)^2+14*e^4*B*g^2*i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c^5/(d*x+c)^4+10*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c^3/(d*x+c)^2*b+70/3*e^3*B*g^2*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c^4/(d*x+c)^3-2/3/d^3*e^3*B*g^2*i*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^7/(d*x+c)^3+4/d*e^3*B*g^2*i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2-8/3/d^2*e^3*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*b^4*c^3-1/d^2*e^4*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*b^5*c^3+3/d*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^2+2/3*d^4*e^3*B*g^2*i/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^7/(d*x+c)^3-1/4*d^5*e^4*B*g^2*i/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^8/(d*x+c)^4+3/2/d*e^4*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2*b^4-14/d*e^3*B*g^2*i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^5/(d*x+c)^3-7/d*e^4*B*g^2*i*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^6/(d*x+c)^4*a^2-15/2/d*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2*a^2+14*d^2*e^4*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5*c^3/(d*x+c)^4*b-35/2*d*e^4*B*g^2*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4*c^4/(d*x+c)^4+3*d^2*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^5*c/(d*x+c)^2+2/d^2*e^4*B*g^2*i*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^7/(d*x+c)^4*a+3/d^2*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^5/(d*x+c)^2*a+14/3/d^2*e^3*B*g^2*i*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^6/(d*x+c)^3*a-70/3*d*e^3*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4*c^3/(d*x+c)^3*b-14/3*d^3*e^3*B*g^2*i/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3*c+2*d^4*e^4*B*g^2*i/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^7/(d*x+c)^4*c+14*d^2*e^3*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5*c^2/(d*x+c)^3-7*d^3*e^4*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^6*c^2/(d*x+c)^4-2/d^2*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*a-1/2*d^3*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^6/(d*x+c)^2-15/2*d*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*c^2/(d*x+c)^2-1/4/d^3*e^4*B*g^2*i*b^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^8/(d*x+c)^4+5/4/d*e^2*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*b^2*c^2+1/2/d*e^3*B*g^2*i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2-8/3*e^3*B*g^2*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c+2/3/d^3*e^3*B*g^2*i*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4+3/2/d*e^4*A*g^2*i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2+3/d*e^2*A*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^2*b^2-5/6/d^2*e^2*B*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^3*c^3*a-2*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c-1/3/d^2*e*B*g^2*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^3-8/3/d^2*e^3*A*g^2*i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^3+1/2/d*e*B*g^2*i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c^2-1/3/d^2*e^3*B*g^2*i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^3-1/d^2*e^4*A*g^2*i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*c^3-2/d^2*e^2*A*g^2*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*b^3*c^3+4/d*e^3*A*g^2*i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2-e^4*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c*b^3+2/3*d*e^3*B*g^2*i*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4+1/4*d*e^4*B*g^2*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4+1/4/d^3*e^4*B*g^2*i*b^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^4+1/2/d^3*e^2*B*g^2*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4","B"
3,1,2407,132,0.145000," ","int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\frac{B \,a^{6} d^{4} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} b^{2}}-\frac{2 B \,a^{5} c \,d^{3} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} b}+\frac{5 B \,a^{4} c^{2} d^{2} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}-\frac{20 B \,a^{3} b \,c^{3} d \,e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}+\frac{5 B \,a^{2} b^{2} c^{4} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}-\frac{2 B a \,b^{3} c^{5} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} d}+\frac{B \,b^{4} c^{6} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} d^{2}}-\frac{B \,a^{5} d^{3} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b^{2}}+\frac{5 B \,a^{4} c \,d^{2} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b}+\frac{B \,a^{3} b d \,e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{5 B \,a^{3} c^{2} d \,e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}-\frac{B \,a^{2} b^{2} c \,e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{5 B \,a^{2} b \,c^{3} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}+\frac{B a \,b^{3} c^{2} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d}-\frac{5 B a \,b^{2} c^{4} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d}-\frac{B \,b^{4} c^{3} e^{3} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d^{2}}+\frac{B \,b^{3} c^{5} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d^{2}}+\frac{A \,a^{3} b d \,e^{3} g i}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{A \,a^{2} b^{2} c \,e^{3} g i}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{A a \,b^{3} c^{2} e^{3} g i}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d}-\frac{A \,b^{4} c^{3} e^{3} g i}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d^{2}}+\frac{B \,a^{3} d \,e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{3 B \,a^{2} b c \,e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{3 B a \,b^{2} c^{2} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}-\frac{B \,b^{3} c^{3} e^{2} g i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}+\frac{A \,a^{3} d \,e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{3 A \,a^{2} b c \,e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{3 A a \,b^{2} c^{2} e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}-\frac{A \,b^{3} c^{3} e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}+\frac{B \,a^{3} d \,e^{2} g i}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{B \,a^{2} b c \,e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B a \,b^{2} c^{2} e^{2} g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}-\frac{B \,b^{3} c^{3} e^{2} g i}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2}}+\frac{B \,a^{3} d e g i}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b}-\frac{B \,a^{2} c e g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)}+\frac{B a b \,c^{2} e g i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}-\frac{B \,b^{2} c^{3} e g i}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2}}+\frac{B \,a^{3} d g i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{6 b^{2}}-\frac{B \,a^{2} c g i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b}+\frac{B a \,c^{2} g i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d}-\frac{B b \,c^{3} g i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{6 d^{2}}"," ",0,"-1/6/d^2*B*g*i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3*b-1/2*B*g*i/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c+1/6*d*e*B*g*i/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3+1/3*d*e^3*A*g*i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+1/2*d*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3-1/3/d^2*e^3*A*g*i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3-1/2/d^2*e^2*A*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^3*c^3-1/6/d^2*e*B*g*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3-1/6/d^2*e^2*B*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^3*c^3-3/2*e^2*A*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*b*c-1/2*e^2*B*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*b*c-e^3*A*g*i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c+1/2*d*e^2*A*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/6*d*e^2*B*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/6*d*B*g*i/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3+1/2/d*B*g*i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2*a-1/2*e*B*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c-2/d*e^3*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^5/(d*x+c)^3*b^3*a+5/2*d^2*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*c/(d*x+c)^2-5/2/d*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^4/(d*x+c)^2-2*d^3*e^3*B*g*i/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5*c/(d*x+c)^3-20/3*d*e^3*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c^3/(d*x+c)^3*b-1/2*d^3*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^5/(d*x+c)^2+1/3*d^4*e^3*B*g*i/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3+1/d*e^3*B*g*i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^2+3/2/d*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^2-5*d*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c^2/(d*x+c)^2+5*d^2*e^3*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4*c^2/(d*x+c)^3+1/3/d^2*e^3*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^6/(d*x+c)^3*b^4+1/2/d^2*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^5/(d*x+c)^2*b^3+5*e^3*B*g*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^4/(d*x+c)^3+5*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^3/(d*x+c)^2*b-3/2*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-1/2/d^2*e^2*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*b^3-1/3/d^2*e^3*B*g*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^4*c^3+1/3*d*e^3*B*g*i*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+1/d*e^3*A*g*i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a+3/2/d*e^2*A*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^2*a+1/2/d*e^2*B*g*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^2*a-e^3*B*g*i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c+1/2/d*e*B*g*i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*a","B"
4,1,940,75,0.133000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","-\frac{B \,a^{4} d^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b^{2}}+\frac{2 B \,a^{3} c \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b}-\frac{3 B \,a^{2} c^{2} d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}+\frac{2 B a b \,c^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2}}-\frac{B \,b^{2} c^{4} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d}+\frac{B \,a^{2} d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{B a b c \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B \,b^{2} c^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{A \,a^{2} d \,e^{2} i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{A a b c \,e^{2} i}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{A \,b^{2} c^{2} e^{2} i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{B \,a^{2} d e i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b}-\frac{B a c e i}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}+\frac{B b \,c^{2} e i}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B \,a^{2} d i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b^{2}}-\frac{B a c i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b}+\frac{B \,c^{2} i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d}"," ",0,"1/2*d*e^2*A*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-e^2*A*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*b*c+1/2/d*e^2*A*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^2*c^2+1/2*d*e*B*i/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2-e*B*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c+1/2/d*e*B*i/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*b+1/2*d*B*i/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-B*i/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c+1/2/d*B*i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2+1/2*d*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*b*c-1/2*d^3*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+2*d^2*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3/(d*x+c)^2*c-3*d*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2/(d*x+c)^2*c^2+2*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a/(d*x+c)^2*c^3*b+1/2/d*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2-1/2/d*e^2*B*i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2","B"
5,1,1044,132,0.121000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g),x)","\frac{B \,a^{2} d^{2} e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{2} g}-\frac{2 B a c d e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b g}+\frac{B \,c^{2} e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) g}+\frac{B a d e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b g}-\frac{B c e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) g}+\frac{A a d e i}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b g}-\frac{A c e i}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) g}+\frac{B a d i \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g}-\frac{B a d i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b^{2} g}-\frac{B c i \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b g}+\frac{B c i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b g}+\frac{A a d i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g}-\frac{A a d i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g}-\frac{A c i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b g}+\frac{A c i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b g}+\frac{B a d i \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{2} g}-\frac{B a d i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g}-\frac{B c i \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b g}+\frac{B c i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b g}"," ",0,"d*e*i/g*A/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-e*i/g*A/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c+d*i/g*A/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a-i/g*A/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-d*i/g*A/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+i/g*A/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*i/g*B/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+i/g*B/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+d*e*i/g*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-e*i/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c+d^2*e*i/g*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2-2*d*e*i/g*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*c+e*i/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c^2+d*i/g*B/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-i/g*B/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+d*i/g*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-i/g*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-1/2*d*i/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*a+1/2*i/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*c","B"
6,1,1025,142,0.060000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2,x)","-\frac{B a d e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{B a \,d^{2} i \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{2} g^{2}}+\frac{B a \,d^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b^{2} g^{2}}+\frac{B c d i \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b \,g^{2}}-\frac{B c d i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b \,g^{2}}+\frac{B c e i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{A a d e i}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{A a \,d^{2} i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b^{2} g^{2}}+\frac{A a \,d^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{2} g^{2}}+\frac{A c d i \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b \,g^{2}}-\frac{A c d i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b \,g^{2}}+\frac{A c e i}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}-\frac{B a d e i}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{B a \,d^{2} i \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b^{2} g^{2}}+\frac{B c d i \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b \,g^{2}}+\frac{B c e i}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2}}"," ",0,"-d^2*i/(a*d-b*c)/g^2*A/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+d*i/(a*d-b*c)/g^2*A/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-d*e*i/(a*d-b*c)/g^2*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+e*i/(a*d-b*c)/g^2*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+d^2*i/(a*d-b*c)/g^2*A/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d*i/(a*d-b*c)/g^2*A/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e*i/(a*d-b*c)/g^2*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+e*i/(a*d-b*c)/g^2*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e*i/(a*d-b*c)/g^2*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+e*i/(a*d-b*c)/g^2*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d^2*i/(a*d-b*c)/g^2*B/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+d*i/(a*d-b*c)/g^2*B/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-d^2*i/(a*d-b*c)/g^2*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+d*i/(a*d-b*c)/g^2*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+1/2*d^2*i/(a*d-b*c)/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*a-1/2*d*i/(a*d-b*c)/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*c","B"
7,1,394,81,0.048000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3,x)","\frac{B a d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B b c \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A a d \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A b c \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B a d \,e^{2} i}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B b c \,e^{2} i}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}"," ",0,"1/2*d*e^2*i/(a*d-b*c)^2/g^3*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2*i/(a*d-b*c)^2/g^3*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c+1/2*d*e^2*i/(a*d-b*c)^2/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*e^2*i/(a*d-b*c)^2/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/4*d*e^2*i/(a*d-b*c)^2/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*e^2*i/(a*d-b*c)^2/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c","B"
8,1,804,165,0.049000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4,x)","-\frac{B a b d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B \,b^{2} c \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A a b d \,e^{3} i}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A \,b^{2} c \,e^{3} i}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B a b d \,e^{3} i}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B a \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{B \,b^{2} c \,e^{3} i}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B b c d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A a \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A b c d \,e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{B a \,d^{2} e^{2} i}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B b c d \,e^{2} i}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}"," ",0,"1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-1/3*d*e^3*i/(a*d-b*c)^3/g^4*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/3*e^3*i/(a*d-b*c)^3/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/4*d^2*e^2*i/(a*d-b*c)^3/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*d*e^2*i/(a*d-b*c)^3/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-1/3*d*e^3*i/(a*d-b*c)^3/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/3*e^3*i/(a*d-b*c)^3/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/9*d*e^3*i/(a*d-b*c)^3/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/9*e^3*i/(a*d-b*c)^3/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c","B"
9,1,1226,257,0.049000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^5,x)","\frac{B a \,b^{2} d \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B \,b^{3} c \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A a \,b^{2} d \,e^{4} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A \,b^{3} c \,e^{4} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B a \,b^{2} d \,e^{4} i}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{2 B a b \,d^{2} e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B \,b^{3} c \,e^{4} i}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{2 B \,b^{2} c d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{2 A a b \,d^{2} e^{3} i}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{2 A \,b^{2} c d \,e^{3} i}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{2 B a b \,d^{2} e^{3} i}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B a \,d^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{2 B \,b^{2} c d \,e^{3} i}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B b c \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{A a \,d^{3} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{A b c \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{B a \,d^{3} e^{2} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{B b c \,d^{2} e^{2} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}"," ",0,"1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-2/3*d^2*e^3*i/(a*d-b*c)^4/g^5*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/3*d*e^3*i/(a*d-b*c)^4/g^5*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/4*d*e^4*i/(a*d-b*c)^4/g^5*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*e^4*i/(a*d-b*c)^4/g^5*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/4*d^3*e^2*i/(a*d-b*c)^4/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*d^2*e^2*i/(a*d-b*c)^4/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-2/3*d^2*e^3*i/(a*d-b*c)^4/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/3*d*e^3*i/(a*d-b*c)^4/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/9*d^2*e^3*i/(a*d-b*c)^4/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/9*d*e^3*i/(a*d-b*c)^4/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/4*d*e^4*i/(a*d-b*c)^4/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/4*e^4*i/(a*d-b*c)^4/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/16*d*e^4*i/(a*d-b*c)^4/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/16*e^4*i/(a*d-b*c)^4/g^5*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c","B"
10,1,9298,401,0.193000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
11,1,6116,319,0.169000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
12,1,3439,225,0.153000," ","int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"2/d*e^4*B*g*i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*c^7/(d*x+c)^4+7*d^3*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5/(d*x+c)^3*c^2+14*d*e^4*B*g*i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c^5/(d*x+c)^4+2*d^5*e^4*B*g*i^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^7/(d*x+c)^4*c-7*d^4*e^4*B*g*i^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^6/(d*x+c)^4*c^2+1/24*d^2*e^2*B*g*i^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4+1/3*d^2*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4+1/2*e^3*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2*b^2+2*e^3*A*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2*b^2+1/4*e^2*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^2*b+1/3*d*B*g*i^2/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3*c+1/4*d^2*e^4*A*g*i^2*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4+1/4/d^2*e^4*A*g*i^2*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^4+1/3/d^2*e^3*A*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^4*c^4-1/6*d*e^2*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c-1/12/d^2*e*B*g*i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4+1/24/d^2*e^2*B*g*i^2*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4+1/12/d^2*e^3*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^4*c^4-1/12*d^2*e*B*g*i^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4+3/2*e^4*A*g*i^2*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2-35/2*d^2*e^4*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4/(d*x+c)^4*c^4*b+35/3*d*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c^4/(d*x+c)^3-7/3*d^4*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3*c+7/3/d*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^6/(d*x+c)^3-4/3*d*e^3*A*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*b*c+1/4*d^2*e^4*B*g*i^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4+1/4/d^2*e^4*B*g*i^2*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^4+1/3/d^2*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4+3/2*e^4*B*g*i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2+2*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2-1/12/d^2*B*g*i^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^4*b-1/12*d^2*B*g*i^2/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^4-1/2*e*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c^2+1/3*d^2*e^3*A*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4+1/12*d^2*e^3*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4-1/2*B*g*i^2/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c^2+1/3/d*B*g*i^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3*a-7*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^5/(d*x+c)^3-1/d*e^4*B*g*i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*c^3+1/3*d^5*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^7/(d*x+c)^3-7*e^4*B*g*i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^6/(d*x+c)^4-35/3*d^2*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4/(d*x+c)^3*c^3+14*d^3*e^4*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5/(d*x+c)^4*c^3-d*e^4*B*g*i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c-4/3*d*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c-4/3/d*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3*a-1/4/d^2*e^4*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^8/(d*x+c)^4*b^5-1/3/d^2*e^3*B*g*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^7/(d*x+c)^3*b^4-1/4*d^6*e^4*B*g*i^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^8/(d*x+c)^4-1/3*d*e^3*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*b*c-4/3/d*e^3*A*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^3*c^3*a-d*e^4*A*g*i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c-1/d*e^4*A*g*i^2*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^3*a-1/3/d*e^3*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^3*c^3*a-1/6/d*e^2*B*g*i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*a+1/3*d*e*B*g*i^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*c+1/3/d*e*B*g*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^3*b","B"
13,1,1522,110,0.134000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\frac{B \,a^{6} d^{5} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} b^{3}}-\frac{2 B \,a^{5} c \,d^{4} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} b^{2}}+\frac{5 B \,a^{4} c^{2} d^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} b}-\frac{20 B \,a^{3} c^{3} d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}+\frac{5 B \,a^{2} b \,c^{4} d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}-\frac{2 B a \,b^{2} c^{5} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3}}+\frac{B \,b^{3} c^{6} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} \left(d x +c \right)^{3} d}+\frac{B \,a^{3} d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{B \,a^{2} b c d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{B a \,b^{2} c^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{B \,b^{3} c^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d}+\frac{A \,a^{3} d^{2} e^{3} i^{2}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{A \,a^{2} b c d \,e^{3} i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{A a \,b^{2} c^{2} e^{3} i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{A \,b^{3} c^{3} e^{3} i^{2}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d}+\frac{B \,a^{3} d^{2} e^{2} i^{2}}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} b}-\frac{B \,a^{2} c d \,e^{2} i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B a b \,c^{2} e^{2} i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{B \,b^{2} c^{3} e^{2} i^{2}}{6 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}-\frac{B \,a^{3} d^{2} e \,i^{2}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2}}+\frac{B \,a^{2} c d e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b}-\frac{B a \,c^{2} e \,i^{2}}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}+\frac{B b \,c^{3} e \,i^{2}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}-\frac{B \,a^{3} d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{3 b^{3}}+\frac{B \,a^{2} c d \,i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2}}-\frac{B a \,c^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b}+\frac{B \,c^{3} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{3 d}"," ",0,"-1/3/d*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3+e^3*A*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*b^2*c^2+d*B*i^2/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c+1/2*e^2*B*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^2*b+1/3/d*B*i^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3+d*e*B*i^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c-B*i^2/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c^2-1/3*d^2*B*i^2/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3+1/6*d^2*e^2*B*i^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3-1/6/d*e^2*B*i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3+1/3/d*e*B*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3*b-e*B*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*a+1/3*d^2*e^3*A*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a-d*e^3*A*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*b*c-1/2*d*e^2*B*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-1/3*d^2*e*B*i^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3+1/3*d^2*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3-1/3/d*e^3*A*i^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^3*c^3+5*d^3*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4/(d*x+c)^3*c^2+5*d*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^4/(d*x+c)^3-2*d^4*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5/(d*x+c)^3*c-d*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*b*c+1/3*d^5*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3-2*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^5/(d*x+c)^3+1/3/d*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^6/(d*x+c)^3-20/3*d^2*e^3*B*i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3/(d*x+c)^3*c^3","B"
14,1,2538,268,0.154000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g),x)","-\frac{B \,a^{4} d^{4} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b^{3} g}+\frac{2 B \,a^{3} c \,d^{3} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b^{2} g}-\frac{3 B \,a^{2} c^{2} d^{2} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} b g}+\frac{2 B a \,c^{3} d \,e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} g}-\frac{B b \,c^{4} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} g}+\frac{B \,a^{2} d^{2} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} b g}-\frac{B a c d \,e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} g}+\frac{B b \,c^{2} e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} g}+\frac{A \,a^{2} d^{2} e^{2} i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} b g}-\frac{A a c d \,e^{2} i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} g}+\frac{A b \,c^{2} e^{2} i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} g}-\frac{B \,a^{3} d^{3} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{3} g}+\frac{3 B \,a^{2} c \,d^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{2} g}-\frac{3 B a \,c^{2} d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b g}+\frac{B \,c^{3} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) g}-\frac{B \,a^{2} d^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g}+\frac{2 B a c d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b g}-\frac{B \,c^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) g}-\frac{A \,a^{2} d^{2} e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g}+\frac{2 A a c d e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b g}-\frac{A \,c^{2} e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) g}+\frac{B \,a^{2} d^{2} e \,i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g}-\frac{B \,a^{2} d^{2} i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g}+\frac{B \,a^{2} d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b^{3} g}-\frac{B a c d e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b g}+\frac{2 B a c d \,i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g}-\frac{B a c d \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{b^{2} g}-\frac{B \,c^{2} i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b g}+\frac{B \,c^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b g}+\frac{B \,c^{2} e \,i^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) g}-\frac{A \,a^{2} d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3} g}+\frac{A \,a^{2} d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g}+\frac{2 A a c d \,i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g}-\frac{2 A a c d \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g}-\frac{A \,c^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b g}+\frac{A \,c^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b g}-\frac{B \,a^{2} d^{2} i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{3} g}+\frac{3 B \,a^{2} d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b^{3} g}+\frac{2 B a c d \,i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{2} g}-\frac{3 B a c d \,i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g}-\frac{B \,c^{2} i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b g}+\frac{3 B \,c^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b g}"," ",0,"1/2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*c^2+A*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c^2+3/2*B*i^2/g/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2-B*i^2/g/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2-A*i^2/g/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2-e*A*i^2/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+1/2*e*B*i^2/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+2*d^3*e^2*B*i^2/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3/(d*x+c)^2*c-3*d^2*e^2*B*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2/(d*x+c)^2*c^2-3*d*e*B*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a/(d*x+c)*c^2+3*d^2*e*B*i^2/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2/(d*x+c)*c-d^3*e*B*i^2/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3/(d*x+c)-1/2*d^4*e^2*B*i^2/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+2*d*e*B*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*a+2*d*e^2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a/(d*x+c)^2*c^3+2*d*e*A*i^2/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*a+1/2*d^2*e*B*i^2/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+1/2*d^2*e^2*B*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-d*e*B*i^2/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c+d^2*A*i^2/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^2-d^2*e*B*i^2/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+1/2*d^2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*a^2-B*i^2/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2-d^2*A*i^2/g/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2+1/2*e^2*A*i^2/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*b-e*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2-d^2*B*i^2/g/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2+3/2*d^2*B*i^2/g/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-1/2*e^2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2*b+2*d*B*i^2/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*c-d*e^2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c+1/2*d^2*e^2*A*i^2/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-d*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*a*c+2*d*A*i^2/g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c*a+2*d*B*i^2/g/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c*a-d^2*e*A*i^2/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2-d^2*B*i^2/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2-3*d*B*i^2/g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c-2*d*A*i^2/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*a+1/2*e^2*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*b-d*e^2*A*i^2/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c*a+e*B*i^2/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3/(d*x+c)","B"
15,1,1465,247,0.142000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2,x)","\frac{B \,a^{2} d^{3} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{3} g^{2}}-\frac{2 B a c \,d^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{2} g^{2}}+\frac{B \,c^{2} d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b \,g^{2}}+\frac{B a \,d^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g^{2}}-\frac{B c d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b \,g^{2}}+\frac{A a \,d^{2} e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g^{2}}-\frac{A c d e \,i^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b \,g^{2}}+\frac{B a d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{2}}+\frac{2 B a \,d^{2} i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g^{2}}-\frac{B a \,d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{b^{3} g^{2}}-\frac{B c e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{2 B c d \,i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g^{2}}+\frac{B c d \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{b^{2} g^{2}}+\frac{A a d e \,i^{2}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{2}}+\frac{2 A a \,d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3} g^{2}}-\frac{2 A a \,d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g^{2}}-\frac{A c e \,i^{2}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{2 A c d \,i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g^{2}}+\frac{2 A c d \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{2} g^{2}}+\frac{B a d e \,i^{2}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{2}}+\frac{2 B a \,d^{2} i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{3} g^{2}}-\frac{B a \,d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3} g^{2}}-\frac{B c e \,i^{2}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{2}}-\frac{2 B c d \,i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{2} g^{2}}+\frac{B c d \,i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{2} g^{2}}"," ",0,"d*e*i^2/g^2*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c^2+d^3*e*i^2/g^2*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2-d*e*i^2/g^2*A/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c+d^2*e*i^2/g^2*A/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-2*d^2*e*i^2/g^2*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*c+d*e*i^2/g^2*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d*e*i^2/g^2*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^2*i^2/g^2*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-2*d*i^2/g^2*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-e*i^2/g^2*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d*e*i^2/g^2*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^2*e*i^2/g^2*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-d*e*i^2/g^2*B/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-2*d*i^2/g^2*A/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-e*i^2/g^2*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-e*i^2/g^2*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d^2*i^2/g^2*B/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+d*i^2/g^2*B/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-d^2*i^2/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*a+d*i^2/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*c-2*d^2*i^2/g^2*A/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d^2*i^2/g^2*B/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-2*d*i^2/g^2*B/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+2*d*i^2/g^2*A/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d^2*i^2/g^2*A/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a","B"
16,1,1495,226,0.064000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3,x)","-\frac{B a d \,e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}+\frac{B c \,e^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A a d \,e^{2} i^{2}}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}+\frac{A c \,e^{2} i^{2}}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B a d \,e^{2} i^{2}}{4 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}-\frac{B a \,d^{2} e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{B a \,d^{3} i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{3} g^{3}}+\frac{B a \,d^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b^{3} g^{3}}+\frac{B c d e \,i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{3}}+\frac{B c \,d^{2} i^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{2} g^{3}}-\frac{B c \,d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b^{2} g^{3}}+\frac{B c \,e^{2} i^{2}}{4 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A a \,d^{2} e \,i^{2}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{A a \,d^{3} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b^{3} g^{3}}+\frac{A a \,d^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{3} g^{3}}+\frac{A c d e \,i^{2}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{3}}+\frac{A c \,d^{2} i^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b^{2} g^{3}}-\frac{A c \,d^{2} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{2} g^{3}}-\frac{B a \,d^{2} e \,i^{2}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{B a \,d^{3} i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b^{3} g^{3}}+\frac{B c d e \,i^{2}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b \,g^{3}}+\frac{B c \,d^{2} i^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b^{2} g^{3}}"," ",0,"-d^3*i^2/(a*d-b*c)/g^3*A/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+d^2*i^2/(a*d-b*c)/g^3*A/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-1/2*d*e^2*i^2/(a*d-b*c)/g^3*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*e^2*i^2/(a*d-b*c)/g^3*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-d^2*e*i^2/(a*d-b*c)/g^3*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d*e*i^2/(a*d-b*c)/g^3*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+d^3*i^2/(a*d-b*c)/g^3*A/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^2*i^2/(a*d-b*c)/g^3*A/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2*e*i^2/(a*d-b*c)/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d*e*i^2/(a*d-b*c)/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2*e*i^2/(a*d-b*c)/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d*e*i^2/(a*d-b*c)/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d^3*i^2/(a*d-b*c)/g^3*B/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+d^2*i^2/(a*d-b*c)/g^3*B/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-d^3*i^2/(a*d-b*c)/g^3*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+d^2*i^2/(a*d-b*c)/g^3*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-1/2*d*e^2*i^2/(a*d-b*c)/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*e^2*i^2/(a*d-b*c)/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/4*d*e^2*i^2/(a*d-b*c)/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/4*e^2*i^2/(a*d-b*c)/g^3*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+1/2*d^3*i^2/(a*d-b*c)/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*a-1/2*d^2*i^2/(a*d-b*c)/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*c","B"
17,1,406,85,0.048000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4,x)","\frac{B a d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B b c \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A a d \,e^{3} i^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A b c \,e^{3} i^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B a d \,e^{3} i^{2}}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B b c \,e^{3} i^{2}}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}"," ",0,"1/3*d*e^3*i^2/(a*d-b*c)^2/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*e^3*i^2/(a*d-b*c)^2/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c+1/3*d*e^3*i^2/(a*d-b*c)^2/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*e^3*i^2/(a*d-b*c)^2/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/9*d*e^3*i^2/(a*d-b*c)^2/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/9*e^3*i^2/(a*d-b*c)^2/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c","B"
18,1,828,173,0.052000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^5,x)","-\frac{B a b d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B \,b^{2} c \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A a b d \,e^{4} i^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A \,b^{2} c \,e^{4} i^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B a b d \,e^{4} i^{2}}{16 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B a \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B \,b^{2} c \,e^{4} i^{2}}{16 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B b c d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A a \,d^{2} e^{3} i^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A b c d \,e^{3} i^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B a \,d^{2} e^{3} i^{2}}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B b c d \,e^{3} i^{2}}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}"," ",0,"1/3*d^2*e^3*i^2/(a*d-b*c)^3/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*d*e^3*i^2/(a*d-b*c)^3/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/4*d*e^4*i^2/(a*d-b*c)^3/g^5*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/4*e^4*i^2/(a*d-b*c)^3/g^5*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/3*d^2*e^3*i^2/(a*d-b*c)^3/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*d*e^3*i^2/(a*d-b*c)^3/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/9*d^2*e^3*i^2/(a*d-b*c)^3/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/9*d*e^3*i^2/(a*d-b*c)^3/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/4*d*e^4*i^2/(a*d-b*c)^3/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/4*e^4*i^2/(a*d-b*c)^3/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/16*d*e^4*i^2/(a*d-b*c)^3/g^5*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/16*e^4*i^2/(a*d-b*c)^3/g^5*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c","B"
19,1,1262,269,0.050000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^6,x)","\frac{B a \,b^{2} d \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B \,b^{3} c \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{A a \,b^{2} d \,e^{5} i^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{A \,b^{3} c \,e^{5} i^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B a \,b^{2} d \,e^{5} i^{2}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B a b \,d^{2} e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B \,b^{3} c \,e^{5} i^{2}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B \,b^{2} c d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A a b \,d^{2} e^{4} i^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A \,b^{2} c d \,e^{4} i^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B a b \,d^{2} e^{4} i^{2}}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{B a \,d^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{B \,b^{2} c d \,e^{4} i^{2}}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B b c \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{A a \,d^{3} e^{3} i^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{A b c \,d^{2} e^{3} i^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{B a \,d^{3} e^{3} i^{2}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{B b c \,d^{2} e^{3} i^{2}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}"," ",0,"1/3*d^3*e^3*i^2/(a*d-b*c)^4/g^6*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*d^2*e^3*i^2/(a*d-b*c)^4/g^6*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/2*d^2*e^4*i^2/(a*d-b*c)^4/g^6*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/2*d*e^4*i^2/(a*d-b*c)^4/g^6*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/5*d*e^5*i^2/(a*d-b*c)^4/g^6*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a-1/5*e^5*i^2/(a*d-b*c)^4/g^6*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/3*d^3*e^3*i^2/(a*d-b*c)^4/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*d^2*e^3*i^2/(a*d-b*c)^4/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/9*d^3*e^3*i^2/(a*d-b*c)^4/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/9*d^2*e^3*i^2/(a*d-b*c)^4/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/2*d^2*e^4*i^2/(a*d-b*c)^4/g^6*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*d*e^4*i^2/(a*d-b*c)^4/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/8*d^2*e^4*i^2/(a*d-b*c)^4/g^6*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/8*d*e^4*i^2/(a*d-b*c)^4/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/5*d*e^5*i^2/(a*d-b*c)^4/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/5*e^5*i^2/(a*d-b*c)^4/g^6*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/25*d*e^5*i^2/(a*d-b*c)^4/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a-1/25*e^5*i^2/(a*d-b*c)^4/g^6*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c","B"
20,1,11172,433,0.200000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
21,1,7597,351,0.176000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"result too large to display","B"
22,1,4481,255,0.157000," ","int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","\text{output too large to display}"," ",0,"9*e^5*B*g*i^3*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^2*c^8/(d*x+c)^5+9*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^7/(d*x+c)^4*a^2*b^3+1/d*e^5*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a*c^4*b^5-1/2*e*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c^3-d^2*e^5*B*g*i^3*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^4*c-5/4*d^2*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4*c+5/2*d*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*c^2+42*d^4*e^5*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^6*c^4/(d*x+c)^5+1/4/d*B*g*i^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^4*a-1/20/d^2*B*g*i^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^5*b-1/20/d^2*e*B*g*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^5-1/12*d^2*e^3*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4*c+1/2*d*B*g*i^3/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3*c^2-1/4*d^2*B*g*i^3/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^4*c-1/2*B*g*i^3/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c^3+1/20*d^3*B*g*i^3/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^5+1/4*d^3*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5+1/20*d^3*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5+2*d*e^5*A*g*i^3*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^3*c^2+5/2*d*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*b^2*c^2+1/12/d*e^3*B*g*i^3*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4*a-5/4*d^2*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4*b*c+1/8*d^2*e^2*B*g*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*c-1/8/d*e^2*B*g*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^4+1/6*d*e^3*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c^2*b-d^2*e^5*A*g*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^4*c-1/4*d^2*e*B*g*i^3/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4*c+1/2*d*e*B*g*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*c^2+1/d*e^5*A*g*i^3*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*c^4*a+5/4/d*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^4*c^4*a-1/4*d^2*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4*b*c+1/2*d*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*b^2*c^2+1/4/d*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^4*c^4*a+1/4/d*e*B*g*i^3*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4*a-1/5/d^2*e^5*B*g*i^3*b^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*c^5-1/4/d^2*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^5*b^5+1/5*d^3*e^5*B*g*i^3*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^5-5/2*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^3-2*e^5*B*g*i^3*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^2*c^3-9*d^5*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^7*c^2/(d*x+c)^4-24*d*e^5*B*g*i^3*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^3*c^7/(d*x+c)^5-2/d*e^5*B*g*i^3*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a*c^9/(d*x+c)^5-2*d^7*e^5*B*g*i^3/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^9*c/(d*x+c)^5+9*d^6*e^5*B*g*i^3/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^8*c^2/(d*x+c)^5+42*d^2*e^5*B*g*i^3*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^4*c^6/(d*x+c)^5-24*d^5*e^5*B*g*i^3/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^7*c^3/(d*x+c)^5-252/5*d^3*e^5*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^5*c^5/(d*x+c)^5*b+63/2*d^2*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^5/(d*x+c)^4*a^4*b-21*d*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^6/(d*x+c)^4*a^3*b^2-9/4/d*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^8/(d*x+c)^4*a*b^4+21*d^4*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^6*c^3/(d*x+c)^4+9/4*d^6*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^8/(d*x+c)^4*c-1/4*d^7*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^9/(d*x+c)^4+5/4/d*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*c^4+2*d*e^5*B*g*i^3*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^3*c^2+1/5/d^2*e^5*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*c^10/(d*x+c)^5*b^6+1/4/d^2*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^9/(d*x+c)^4*b^5-63/2*d^3*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5*c^4/(d*x+c)^4+1/5*d^8*e^5*B*g*i^3/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^10/(d*x+c)^5-1/4/d^2*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^5*c^5-1/5/d^2*e^5*A*g*i^3*b^6/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*c^5-2*e^5*A*g*i^3*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^2*c^3-5/2*e^4*A*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*b^3*c^3+1/4*e^2*B*g*i^3*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^3-1/2*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*b^3*c^3-1/6*e^3*B*g*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^3+1/20*d^3*e*B*g*i^3/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^5+1/40/d^2*e^2*B*g*i^3*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^5-1/4*d*e^2*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c^2-1/60/d^2*e^3*B*g*i^3*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^5-1/40*d^3*e^2*B*g*i^3/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^5+1/4*d^3*e^4*B*g*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5+1/60*d^3*e^3*B*g*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5+1/5*d^3*e^5*A*g*i^3*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^5*a^5-1/20/d^2*e^4*B*g*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^5*c^5","B"
23,1,2172,139,0.142000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A),x)","-\frac{B \,a^{8} d^{7} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4} b^{4}}+\frac{2 B \,a^{7} c \,d^{6} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4} b^{3}}-\frac{7 B \,a^{6} c^{2} d^{5} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4} b^{2}}+\frac{14 B \,a^{5} c^{3} d^{4} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4} b}-\frac{35 B \,a^{4} c^{4} d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4}}+\frac{14 B \,a^{3} b \,c^{5} d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4}}-\frac{7 B \,a^{2} b^{2} c^{6} d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4}}+\frac{2 B a \,b^{3} c^{7} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4}}-\frac{B \,b^{4} c^{8} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} \left(d x +c \right)^{4} d}+\frac{B \,a^{4} d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}-\frac{B \,a^{3} b c \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}+\frac{3 B \,a^{2} b^{2} c^{2} d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}-\frac{B a \,b^{3} c^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}+\frac{B \,b^{4} c^{4} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} d}+\frac{A \,a^{4} d^{3} e^{4} i^{3}}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}-\frac{A \,a^{3} b c \,d^{2} e^{4} i^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}+\frac{3 A \,a^{2} b^{2} c^{2} d \,e^{4} i^{3}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}-\frac{A a \,b^{3} c^{3} e^{4} i^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4}}+\frac{A \,b^{4} c^{4} e^{4} i^{3}}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{4} d}+\frac{B \,a^{4} d^{3} e^{3} i^{3}}{12 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} b}-\frac{B \,a^{3} c \,d^{2} e^{3} i^{3}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{B \,a^{2} b \,c^{2} d \,e^{3} i^{3}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}-\frac{B a \,b^{2} c^{3} e^{3} i^{3}}{3 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3}}+\frac{B \,b^{3} c^{4} e^{3} i^{3}}{12 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{3} d}-\frac{B \,a^{4} d^{3} e^{2} i^{3}}{8 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} b^{2}}+\frac{B \,a^{3} c \,d^{2} e^{2} i^{3}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} b}-\frac{3 B \,a^{2} c^{2} d \,e^{2} i^{3}}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}+\frac{B a b \,c^{3} e^{2} i^{3}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2}}-\frac{B \,b^{2} c^{4} e^{2} i^{3}}{8 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d}+\frac{B \,a^{4} d^{3} e \,i^{3}}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{3}}-\frac{B \,a^{3} c \,d^{2} e \,i^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2}}+\frac{3 B \,a^{2} c^{2} d e \,i^{3}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b}-\frac{B a \,c^{3} e \,i^{3}}{\frac{a d e}{d x +c}-\frac{b c e}{d x +c}}+\frac{B b \,c^{4} e \,i^{3}}{4 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d}+\frac{B \,a^{4} d^{3} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{4 b^{4}}-\frac{B \,a^{3} c \,d^{2} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3}}+\frac{3 B \,a^{2} c^{2} d \,i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 b^{2}}-\frac{B a \,c^{3} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b}+\frac{B \,c^{4} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{4 d}"," ",0,"-B*i^3/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3*a+1/4*d^3*e^4*A*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4+1/4*d^3*B*i^3/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^4-e*B*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^3+1/4/d*B*i^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^4-1/3*e^3*B*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3*a+1/4*d^3*e*B*i^3/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4+1/4/d*e*B*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4*b+1/2*e^2*B*i^3*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*a+3/2*d*e*B*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c^2+1/4/d*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^4-e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a*c^3-d^2*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*b*c-1/4/d*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^8/(d*x+c)^4-35/2*d^3*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4/(d*x+c)^4*c^4+3/2*d*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2+2*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^7/(d*x+c)^4*a-1/4*d^7*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^8/(d*x+c)^4+1/4*d^3*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^4-3/4*d*e^2*B*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^2+3/2*d*B*i^3/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c^2+1/12*d^3*e^3*B*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4-e^4*A*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^3*c^3*a+14*d^4*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^5/(d*x+c)^4*c^3+14*d^2*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^5/(d*x+c)^4*a^3-d^2*B*i^3/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3*c-d^2*e*B*i^3/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*c-d^2*e^4*A*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^3*b*c+1/2*d*e^3*B*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^2*b+3/2*d*e^4*A*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^2*c^2*b^2+1/2*d^2*e^2*B*i^3/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c-1/8*d^3*e^2*B*i^3/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4-1/8/d*e^2*B*i^3*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4-1/3*d^2*e^3*B*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c+1/4/d*e^4*A*i^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*b^4*c^4+1/12/d*e^3*B*i^3*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^4+2*d^6*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^7/(d*x+c)^4*c-7*d^5*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*a^6/(d*x+c)^4*c^2-7*d*e^4*B*i^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^4*c^6/(d*x+c)^4*a^2","B"
24,1,4594,344,0.164000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g),x)","\text{output too large to display}"," ",0,"-A*i^3/g/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3+11/6*B*i^3/g/b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^3-B*i^3/g/b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^3+A*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c^3+5/6*e*B*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3-e*A*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3+1/2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b*c^3+d^3*B*i^3/g/b^4*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^3-1/2*d^3*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^4*a^3-e*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3-5/2*d^4*e^2*B*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*c/(d*x+c)^2+5*d^3*e^2*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*c^2/(d*x+c)^2-2*d^5*e^3*B*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5*c/(d*x+c)^3+5*d^4*e^3*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4*c^2/(d*x+c)^3-20/3*d^3*e^3*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3*c^3/(d*x+c)^3-4*d^3*e*B*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*c/(d*x+c)+6*d^2*e*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c^2/(d*x+c)-4*d*e*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^3/(d*x+c)-5*d^2*e^2*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c^3/(d*x+c)^2-2*d*e^3*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^5/(d*x+c)^3*b+1/2*d^5*e^2*B*i^3/g/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^5/(d*x+c)^2+3/2*d^2*e^2*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c+d^4*e*B*i^3/g/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4/(d*x+c)+5/2*d*e^2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^4/(d*x+c)^2+5*d^2*e^3*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c^4/(d*x+c)^3+d*e^3*B*i^3/g*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a+1/3*d^6*e^3*B*i^3/g/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3-3*d^2*e*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c-d^3*A*i^3/g/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^3-11/6*d^3*B*i^3/g/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3-B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^3+d^3*A*i^3/g/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3-1/6*e^2*B*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*b-1/3*e^3*A*i^3/g*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3+1/2*e^2*A*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*b-5/2*d*e*B*i^3/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^2-3*d^2*e*A*i^3/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c+3*d*e*A*i^3/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^2-1/2*d^2*e^2*B*i^3/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c+d*e^3*A*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a*c^2*b+3/2*d^2*e^2*A*i^3/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-1/2*e^2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^5/(d*x+c)^2*b-1/2*d^3*e^2*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/3*d^3*e^3*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3-3/2*d*e^2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*a-d^2*e^3*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c-3*d^2*B*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2*c+3*d*B*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*c^2+1/3*e^3*B*i^3/g*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^6/(d*x+c)^3+d^3*e*B*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3-11/2*d*B*i^3/g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2*a+11/2*d^2*B*i^3/g/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c-1/3*e^3*B*i^3/g*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3+1/2*e^2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3*b+d^3*B*i^3/g/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^3-3*d^2*A*i^3/g/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*c+3*d*e*B*i^3/g/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c^2+5/2*d^2*e*B*i^3/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c-d^2*e^3*A*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c+d^3*e*A*i^3/g/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3-5/6*d^3*e*B*i^3/g/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3+1/6*d^3*e^2*B*i^3/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3-3/2*d*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*c^2*a+1/3*d^3*e^3*A*i^3/g/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3-1/2*d^3*e^2*A*i^3/g/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/2*d*e^2*B*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*a-3/2*d*e^2*A*i^3/g/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*a+3/2*d^2*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*a^2*c+e*B*i^3/g*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^4/(d*x+c)+3*d^2*A*i^3/g/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^2*c+3*d*A*i^3/g/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2*a+3*d*B*i^3/g/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2*a-3*d^2*B*i^3/g/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2*c-3*d*A*i^3/g/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c^2*a","B"
25,1,3141,365,0.147000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2,x)","\text{output too large to display}"," ",0,"2*d^4*e^2*B*i^3/g^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c/(d*x+c)^2*a^3-3*d^3*e^2*B*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2/(d*x+c)^2*a^2+2*d^2*e^2*B*i^3/g^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3/(d*x+c)^2*a+6*d^3*e*B*i^3/g^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2/(d*x+c)*c-6*d^2*e*B*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a/(d*x+c)*c^2-6*d^2*A*i^3/g^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c*a+6*d^2*A*i^3/g^2/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c*a-5*d^2*B*i^3/g^2/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c-3*d^2*B*i^3/g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*a*c+1/2*d^3*e^2*A*i^3/g^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-2*d^3*e*A*i^3/g^2/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+1/2*d*e^2*B*i^3/g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2-3*d^3*B*i^3/g^2/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2-e*B*i^3/g^2/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c^2+6*d^2*B*i^3/g^2/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c*a-3*d*B*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2+6*d^2*B*i^3/g^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*c-2*d*e*B*i^3/g^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2-1/2*d*e^2*B*i^3/g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2+1/2*d^3*e^2*B*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-d^2*e*B*i^3/g^2/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^2-d^2*e^2*A*i^3/g^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c+4*d^2*e*A*i^3/g^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c+2*d*e*B*i^3/g^2/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c*a-2*d^3*e*B*i^3/g^2/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+1/2*d*e^2*A*i^3/g^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2-3*d*B*i^3/g^2/b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2+3*d*A*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c^2-3*d^3*B*i^3/g^2/b^4*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2+3/2*d^3*B*i^3/g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^4*a^2-3*d^3*A*i^3/g^2/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2+3/2*d*B*i^3/g^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^2*c^2+5/2*d*B*i^3/g^2/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2-3*d*A*i^3/g^2/b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2+5/2*d^3*B*i^3/g^2/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-e*B*i^3/g^2/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c^2-e*A*i^3/g^2/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c^2+3*d^3*A*i^3/g^2/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^2+1/2*d*e*B*i^3/g^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2-2*d*e*A*i^3/g^2/b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2-d^2*e*A*i^3/g^2/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a^2+1/2*d^3*e*B*i^3/g^2/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2-d^2*e*B*i^3/g^2/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a^2-1/2*d^5*e^2*B*i^3/g^2/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+2*d*e*B*i^3/g^2/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a*c-d^2*e^2*B*i^3/g^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c*a+2*d*e*B*i^3/g^2/b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3/(d*x+c)+4*d^2*e*B*i^3/g^2/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c-2*d^4*e*B*i^3/g^2/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3/(d*x+c)-d^2*e*B*i^3/g^2/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*a+2*d*e*A*i^3/g^2/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a*c","B"
26,1,1855,341,0.136000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3,x)","\frac{B \,a^{2} d^{4} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{4} g^{3}}-\frac{2 B a c \,d^{3} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{3} g^{3}}+\frac{B \,c^{2} d^{2} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) b^{2} g^{3}}+\frac{B a d \,e^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{3}}+\frac{B a \,d^{3} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{3} g^{3}}-\frac{B c \,e^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}-\frac{B c \,d^{2} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g^{3}}+\frac{A a d \,e^{2} i^{3}}{2 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{3}}+\frac{A a \,d^{3} e \,i^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{3} g^{3}}-\frac{A c \,e^{2} i^{3}}{2 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}-\frac{A c \,d^{2} e \,i^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) b^{2} g^{3}}+\frac{B a d \,e^{2} i^{3}}{4 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{3}}+\frac{2 B a \,d^{2} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{3}}+\frac{3 B a \,d^{3} i^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{4} g^{3}}-\frac{3 B a \,d^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b^{4} g^{3}}-\frac{B c \,e^{2} i^{3}}{4 \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{3}}-\frac{2 B c d e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{3 B c \,d^{2} i^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g^{3}}+\frac{3 B c \,d^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 b^{3} g^{3}}+\frac{2 A a \,d^{2} e \,i^{3}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{3}}+\frac{3 A a \,d^{3} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{4} g^{3}}-\frac{3 A a \,d^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{4} g^{3}}-\frac{2 A c d e \,i^{3}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{3 A c \,d^{2} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3} g^{3}}+\frac{3 A c \,d^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{b^{3} g^{3}}+\frac{2 B a \,d^{2} e \,i^{3}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{3}}+\frac{3 B a \,d^{3} i^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{4} g^{3}}-\frac{B a \,d^{3} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{4} g^{3}}-\frac{2 B c d e \,i^{3}}{\left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{3}}-\frac{3 B c \,d^{2} i^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{b^{3} g^{3}}+\frac{B c \,d^{2} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{b^{3} g^{3}}"," ",0,"-2*d^3*e*i^3/g^3*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*c+d^2*e*i^3/g^3*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c^2-1/4*e^2*i^3/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2*i^3/g^3*B/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+3*d^3*i^3/g^3*B/b^4*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-3*d^3*i^3/g^3*A/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3*d^2*i^3/g^3*A/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^3*i^3/g^3*B/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+3*d^3*i^3/g^3*A/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a-3*d^2*i^3/g^3*A/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+d^4*e*i^3/g^3*B/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2+1/2*d*e^2*i^3/g^3*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/4*d*e^2*i^3/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-d^2*e*i^3/g^3*A/b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c+2*d^2*e*i^3/g^3*A/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d*e*i^3/g^3*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+2*d^2*e*i^3/g^3*B/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d*e*i^3/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+d^3*e*i^3/g^3*A/b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a+3*d^3*i^3/g^3*B/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-3*d^2*i^3/g^3*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-1/2*e^2*i^3/g^3*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d^2*e*i^3/g^3*B/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^3*e*i^3/g^3*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-1/2*e^2*i^3/g^3*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-2*d*e*i^3/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2*e*i^3/g^3*B/b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c+1/2*d*e^2*i^3/g^3*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3*d^2*i^3/g^3*B/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-3/2*d^3*i^3/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^4*a+3/2*d^2*i^3/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*c","B"
27,1,1929,302,0.066000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4,x)","-\frac{B a d \,e^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} b \,g^{4}}+\frac{B c \,e^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A a d \,e^{3} i^{3}}{3 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} b \,g^{4}}+\frac{A c \,e^{3} i^{3}}{3 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B a d \,e^{3} i^{3}}{9 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} b \,g^{4}}-\frac{B a \,d^{2} e^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{4}}+\frac{B c d \,e^{2} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{4}}+\frac{B c \,e^{3} i^{3}}{9 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A a \,d^{2} e^{2} i^{3}}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{4}}+\frac{A c d \,e^{2} i^{3}}{2 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{4}}-\frac{B a \,d^{2} e^{2} i^{3}}{4 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b^{2} g^{4}}-\frac{B a \,d^{3} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{4}}-\frac{B a \,d^{4} i^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{4} g^{4}}+\frac{B a \,d^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b^{4} g^{4}}+\frac{B c d \,e^{2} i^{3}}{4 \left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} b \,g^{4}}+\frac{B c \,d^{2} e \,i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{4}}+\frac{B c \,d^{3} i^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{3} g^{4}}-\frac{B c \,d^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right) b^{3} g^{4}}-\frac{A a \,d^{3} e \,i^{3}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{4}}-\frac{A a \,d^{4} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b^{4} g^{4}}+\frac{A a \,d^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{4} g^{4}}+\frac{A c \,d^{2} e \,i^{3}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{4}}+\frac{A c \,d^{3} i^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) b^{3} g^{4}}-\frac{A c \,d^{3} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) b^{3} g^{4}}-\frac{B a \,d^{3} e \,i^{3}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{3} g^{4}}-\frac{B a \,d^{4} i^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b^{4} g^{4}}+\frac{B c \,d^{2} e \,i^{3}}{\left(a d -b c \right) \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) b^{2} g^{4}}+\frac{B c \,d^{3} i^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) b^{3} g^{4}}"," ",0,"-1/4*d^2*e^2*i^3/(a*d-b*c)/g^4*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/9*e^3*i^3/(a*d-b*c)/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/3*e^3*i^3/(a*d-b*c)/g^4*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/2*d^2*e^2*i^3/(a*d-b*c)/g^4*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*d*e^2*i^3/(a*d-b*c)/g^4*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/3*d*e^3*i^3/(a*d-b*c)/g^4*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/3*e^3*i^3/(a*d-b*c)/g^4*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^4*i^3/(a*d-b*c)/g^4*A/b^4*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+d^3*i^3/(a*d-b*c)/g^4*A/b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+d^4*i^3/(a*d-b*c)/g^4*A/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*d^4*i^3/(a*d-b*c)/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^4*a-d^3*i^3/(a*d-b*c)/g^4*A/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^4*i^3/(a*d-b*c)/g^4*B/b^4*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-1/2*d^3*i^3/(a*d-b*c)/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/b^3*c+d^3*i^3/(a*d-b*c)/g^4*B/b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-1/2*d^2*e^2*i^3/(a*d-b*c)/g^4*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-d^3*e*i^3/(a*d-b*c)/g^4*B/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^2*e*i^3/(a*d-b*c)/g^4*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/3*d*e^3*i^3/(a*d-b*c)/g^4*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-d^4*i^3/(a*d-b*c)/g^4*B/b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+d^3*i^3/(a*d-b*c)/g^4*B/b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+1/4*d*e^2*i^3/(a*d-b*c)/g^4*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/9*d*e^3*i^3/(a*d-b*c)/g^4*B/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-d^3*e*i^3/(a*d-b*c)/g^4*A/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d^2*e*i^3/(a*d-b*c)/g^4*A/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d^3*e*i^3/(a*d-b*c)/g^4*B/b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d^2*e*i^3/(a*d-b*c)/g^4*B/b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+1/2*d*e^2*i^3/(a*d-b*c)/g^4*A/b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c","B"
28,1,406,85,0.051000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^5,x)","\frac{B a d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B b c \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A a d \,e^{4} i^{3}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A b c \,e^{4} i^{3}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B a d \,e^{4} i^{3}}{16 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B b c \,e^{4} i^{3}}{16 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}"," ",0,"1/4*d*e^4*i^3/(a*d-b*c)^2/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*e^4*i^3/(a*d-b*c)^2/g^5*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c+1/4*d*e^4*i^3/(a*d-b*c)^2/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/4*e^4*i^3/(a*d-b*c)^2/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/16*d*e^4*i^3/(a*d-b*c)^2/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/16*e^4*i^3/(a*d-b*c)^2/g^5*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c","B"
29,1,828,173,0.051000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^6,x)","-\frac{B a b d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B \,b^{2} c \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{A a b d \,e^{5} i^{3}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{A \,b^{2} c \,e^{5} i^{3}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B a b d \,e^{5} i^{3}}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B a \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{B \,b^{2} c \,e^{5} i^{3}}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B b c d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A a \,d^{2} e^{4} i^{3}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A b c d \,e^{4} i^{3}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{B a \,d^{2} e^{4} i^{3}}{16 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B b c d \,e^{4} i^{3}}{16 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}"," ",0,"1/4*d^2*e^4*i^3/(a*d-b*c)^3/g^6*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*d*e^4*i^3/(a*d-b*c)^3/g^6*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-1/5*d*e^5*i^3/(a*d-b*c)^3/g^6*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+1/5*e^5*i^3/(a*d-b*c)^3/g^6*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/4*d^2*e^4*i^3/(a*d-b*c)^3/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/4*d*e^4*i^3/(a*d-b*c)^3/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/16*d^2*e^4*i^3/(a*d-b*c)^3/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/16*d*e^4*i^3/(a*d-b*c)^3/g^6*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-1/5*d*e^5*i^3/(a*d-b*c)^3/g^6*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/5*e^5*i^3/(a*d-b*c)^3/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/25*d*e^5*i^3/(a*d-b*c)^3/g^6*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+1/25*e^5*i^3/(a*d-b*c)^3/g^6*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c","B"
30,1,1262,269,0.049000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^7,x)","\frac{B a \,b^{2} d \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{B \,b^{3} c \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{A a \,b^{2} d \,e^{6} i^{3}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{A \,b^{3} c \,e^{6} i^{3}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{B a \,b^{2} d \,e^{6} i^{3}}{36 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{2 B a b \,d^{2} e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{B \,b^{3} c \,e^{6} i^{3}}{36 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{2 B \,b^{2} c d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{2 A a b \,d^{2} e^{5} i^{3}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{2 A \,b^{2} c d \,e^{5} i^{3}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{2 B a b \,d^{2} e^{5} i^{3}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{B a \,d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{2 B \,b^{2} c d \,e^{5} i^{3}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{B b c \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{A a \,d^{3} e^{4} i^{3}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{A b c \,d^{2} e^{4} i^{3}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{B a \,d^{3} e^{4} i^{3}}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{B b c \,d^{2} e^{4} i^{3}}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}"," ",0,"1/4*d^3*e^4*i^3/(a*d-b*c)^4/g^7*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*d^2*e^4*i^3/(a*d-b*c)^4/g^7*A/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-2/5*d^2*e^5*i^3/(a*d-b*c)^4/g^7*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/5*d*e^5*i^3/(a*d-b*c)^4/g^7*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/6*d*e^6*i^3/(a*d-b*c)^4/g^7*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*a-1/6*e^6*i^3/(a*d-b*c)^4/g^7*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*c+1/4*d^3*e^4*i^3/(a*d-b*c)^4/g^7*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/4*d^2*e^4*i^3/(a*d-b*c)^4/g^7*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/16*d^3*e^4*i^3/(a*d-b*c)^4/g^7*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/16*d^2*e^4*i^3/(a*d-b*c)^4/g^7*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-2/5*d^2*e^5*i^3/(a*d-b*c)^4/g^7*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/5*d*e^5*i^3/(a*d-b*c)^4/g^7*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/25*d^2*e^5*i^3/(a*d-b*c)^4/g^7*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/25*d*e^5*i^3/(a*d-b*c)^4/g^7*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/6*d*e^6*i^3/(a*d-b*c)^4/g^7*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/6*e^6*i^3/(a*d-b*c)^4/g^7*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/36*d*e^6*i^3/(a*d-b*c)^4/g^7*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*a-1/36*e^6*i^3/(a*d-b*c)^4/g^7*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*c","B"
31,1,4297,244,0.163000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i),x)","\text{output too large to display}"," ",0,"-1/d*A*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3-1/d*B*g^3/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^3-11/6/d*B*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^3-3/d^3*A*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^2*c^2*a-3/d^4*e*A*g^3/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3+3/d^2*B*g^3/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2*b*c+15/d^2*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*b^3*c^3/(d*x+c)^2+5/d^2*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^4*c^4/(d*x+c)^3*a^2+18/d^2*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^2*c^2/(d*x+c)*a^2-15/d*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3*b^2*c^2/(d*x+c)^2-2/d^3*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^5*c^5/(d*x+c)^3*a-2*d*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^5*b*c/(d*x+c)^3-20/3/d*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^3*c^3/(d*x+c)^3*a^3-15/2/d^3*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*b^4*c^4/(d*x+c)^2-12/d*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*b*c/(d*x+c)-12/d^3*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^3*c^3/(d*x+c)*a+11/6/d^4*B*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^3*c^3+1/d^4*A*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^3*c^3+1/d^4*B*g^3/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b^3*c^3-1/d*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^3+7/2/d^3*e*B*g^3/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*a+1/d^3*e^3*A*g^3/i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a-3/2/d^4*e^2*A*g^3/i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3-7/6/d^4*e*B*g^3/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3+1/3/d*e^3*A*g^3/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+3/2/d*e^2*A*g^3/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/6/d*e^2*B*g^3/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3-1/2/d^2*e^2*B*g^3/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c-3/2/d^4*e^2*B*g^3/i*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3-3/2*d*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^5/(d*x+c)^2+3/2/d*e^2*B*g^3/i*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3+1/3/d*e^3*B*g^3/i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^3+3/d*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3*b-3/d^4*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^4*c^3-11/2/d^3*B*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^2*c^2*a+3*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^4/(d*x+c)+1/d^4*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b^3*c^3+3/d*e*A*g^3/i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3-9/d^2*e*A*g^3/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c-7/2/d^2*e*B*g^3/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*c+3/d^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2*b*c-3/d^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*b^2*c^2+1/3*d^2*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^6/(d*x+c)^3+1/2/d^3*e^2*B*g^3/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*a-9/2/d^2*e^2*A*g^3/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c+9/2/d^3*e^2*A*g^3/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c^2-1/d^2*e^3*A*g^3/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c+7/6/d*e*B*g^3/i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3-1/3/d^4*e^3*A*g^3/i*b^6/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3+3/2/d^4*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^5*c^5/(d*x+c)^2+1/d^3*e^3*B*g^3/i*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^2*a-9/2/d^2*e^2*B*g^3/i*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*c+1/3/d^4*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*b^6*c^6/(d*x+c)^3+9/2/d^3*e^2*B*g^3/i*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2*a+5*e^3*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^4*b^2*c^2/(d*x+c)^3+15/2*e^2*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4*b*c/(d*x+c)^2-1/d^2*e^3*B*g^3/i*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*a^2*c-9/d^2*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*b^2*c+9/d^3*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*b^3*c^2+3/d^4*e*B*g^3/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^4*c^4/(d*x+c)-1/6/d^4*e^2*B*g^3/i*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^3+11/2/d^2*B*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*b*c+3/d^2*A*g^3/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2*b*c-3/d^3*B*g^3/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b^2*c^2*a+9/d^3*e*A*g^3/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2*a-1/3/d^4*e^3*B*g^3/i*b^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^3*c^3","B"
32,1,2309,192,0.145000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i),x)","-\frac{B \,a^{4} d \,e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} i}+\frac{2 B \,a^{3} b c \,e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} i}-\frac{3 B \,a^{2} b^{2} c^{2} e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d i}+\frac{2 B a \,b^{3} c^{3} e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d^{2} i}-\frac{B \,b^{4} c^{4} e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} \left(d x +c \right)^{2} d^{3} i}+\frac{B \,a^{2} b^{2} e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d i}-\frac{B a \,b^{3} c \,e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2} i}+\frac{B \,b^{4} c^{2} e^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{3} i}+\frac{A \,a^{2} b^{2} e^{2} g^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d i}-\frac{A a \,b^{3} c \,e^{2} g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{2} i}+\frac{A \,b^{4} c^{2} e^{2} g^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right)^{2} d^{3} i}+\frac{2 B \,a^{3} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) i}-\frac{6 B \,a^{2} b c e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d i}+\frac{6 B a \,b^{2} c^{2} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2} i}-\frac{2 B \,b^{3} c^{3} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{3} i}+\frac{2 B \,a^{2} b e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d i}-\frac{4 B a \,b^{2} c e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i}+\frac{2 B \,b^{3} c^{2} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i}+\frac{2 A \,a^{2} b e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d i}-\frac{4 A a \,b^{2} c e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i}+\frac{2 A \,b^{3} c^{2} e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i}+\frac{B \,a^{2} b e \,g^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d i}-\frac{B \,a^{2} g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d i}-\frac{B a \,b^{2} c e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i}+\frac{2 B a b c \,g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{2} i}+\frac{B \,b^{3} c^{2} e \,g^{2}}{2 \left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i}-\frac{B \,b^{2} c^{2} g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{3} i}-\frac{A \,a^{2} g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d i}+\frac{2 A a b c \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i}-\frac{A \,b^{2} c^{2} g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{3} i}-\frac{B \,a^{2} g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d i}-\frac{3 B \,a^{2} g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d i}+\frac{2 B a b c \,g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{2} i}+\frac{3 B a b c \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i}-\frac{B \,b^{2} c^{2} g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{3} i}-\frac{3 B \,b^{2} c^{2} g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{2 d^{3} i}"," ",0,"-1/d*A*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-1/d*B*g^2/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2-3/2/d*B*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-6/d*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2/(d*x+c)*b*c+2/d^2*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a/(d*x+c)^2*b^3*c^3-3/d*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2/(d*x+c)^2*b^2*c^2+6/d^2*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a/(d*x+c)*b^2*c^2-4/d^2*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*b^2*c+2*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3/(d*x+c)^2*b*c-1/d^3*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b^2*c^2+1/2/d*e*B*g^2/i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+2*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3/(d*x+c)+2/d*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2*b-1/d^2*e^2*A*g^2/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c*a+2/d^2*A*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*b*c-1/d^3*B*g^2/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b^2*c^2-1/d^3*A*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^2*c^2-1/d*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2-3/2/d^3*B*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b^2*c^2+2/d^3*e*A*g^2/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+3/d^2*B*g^2/i*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c*a+1/2/d^3*e^2*A*g^2/i*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2+1/2/d^3*e*B*g^2/i*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+1/2/d*e^2*A*g^2/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2+2/d*e*A*g^2/i*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+2/d^2*B*g^2/i*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*b*c+2/d^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*b*c-4/d^2*e*A*g^2/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c-1/d^2*e*B*g^2/i*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c-2/d^3*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^3*c^3/(d*x+c)-1/d^2*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^3*c*a-1/2/d^3*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^4*c^4/(d*x+c)^2+1/2/d*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2*b^2+2/d^3*e*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^3*c^2-1/2*d*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+1/2/d^3*e^2*B*g^2/i*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*b^4*c^2","B"
33,1,895,125,0.133000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i),x)","\frac{B \,a^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) i}-\frac{2 B a b c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d i}+\frac{B \,b^{2} c^{2} e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2} i}+\frac{B a b e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d i}-\frac{B \,b^{2} c e g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i}+\frac{A a b e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d i}-\frac{A \,b^{2} c e g}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i}-\frac{B a g \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d i}+\frac{B b c g \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{2} i}-\frac{A a g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d i}+\frac{A b c g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i}-\frac{B a g \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d i}-\frac{B a g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d i}+\frac{B b c g \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{2} i}+\frac{B b c g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i}"," ",0,"1/d*e*g/i*A*b/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-1/d^2*e*g/i*A*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-1/d*g/i*A*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d^2*g/i*A*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c-1/d*g/i*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d^2*g/i*B*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c+1/d*e*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b*a-1/d^2*e*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*b^2*c+e*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2-2/d*e*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*b*c+1/d^2*e*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*b^2*c^2-1/d*g/i*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d^2*g/i*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c-1/d*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d^2*g/i*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c","B"
34,1,411,76,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i),x)","-\frac{B a \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) i}+\frac{B b c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d i}-\frac{A a \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) i}+\frac{A b c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d i}-\frac{B a \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) i}+\frac{B b c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d i}"," ",0,"-1/i/(a*d-b*c)*A*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d/i/(a*d-b*c)*A*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c-1/i/(a*d-b*c)*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d/i/(a*d-b*c)*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c-1/i/(a*d-b*c)*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d/i/(a*d-b*c)*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c","B"
35,1,201,42,0.049000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)/(d*i*x+c*i),x)","-\frac{B a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} g i}+\frac{B b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} g i}-\frac{A a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} g i}+\frac{A b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} g i}"," ",0,"-d/i/(a*d-b*c)^2/g*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/i/(a*d-b*c)^2/g*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-1/2*d/i/(a*d-b*c)^2/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2/i/(a*d-b*c)^2/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c","B"
36,1,605,171,0.048000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2/(d*i*x+c*i),x)","-\frac{B a b d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{B a \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} g^{2} i}+\frac{B \,b^{2} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{B b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} g^{2} i}-\frac{A a b d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{A a \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g^{2} i}+\frac{A \,b^{2} c e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{A b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g^{2} i}-\frac{B a b d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{B \,b^{2} c e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}"," ",0,"-d^2/i/(a*d-b*c)^3/g^2*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d/i/(a*d-b*c)^3/g^2*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d*e/i/(a*d-b*c)^3/g^2*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+e/i/(a*d-b*c)^3/g^2*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/2*d^2/i/(a*d-b*c)^3/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d/i/(a*d-b*c)^3/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-d*e/i/(a*d-b*c)^3/g^2*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+e/i/(a*d-b*c)^3/g^2*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e/i/(a*d-b*c)^3/g^2*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+e/i/(a*d-b*c)^3/g^2*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c","B"
37,1,1040,249,0.048000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3/(d*i*x+c*i),x)","\frac{B a \,b^{2} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{B \,b^{3} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{A a \,b^{2} d \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{A \,b^{3} c \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{B a \,b^{2} d \,e^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{2 B a b \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{B a \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} g^{3} i}-\frac{B \,b^{3} c \,e^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{2 B \,b^{2} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{B b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} g^{3} i}-\frac{2 A a b \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{A a \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{3} i}+\frac{2 A \,b^{2} c d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{A b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{3} i}-\frac{2 B a b \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{2 B \,b^{2} c d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}"," ",0,"-d^3/i/(a*d-b*c)^4/g^3*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^2/i/(a*d-b*c)^4/g^3*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-2*d^2*e/i/(a*d-b*c)^4/g^3*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d*e/i/(a*d-b*c)^4/g^3*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+1/2*d*e^2/i/(a*d-b*c)^4/g^3*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2/i/(a*d-b*c)^4/g^3*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/2*d^3/i/(a*d-b*c)^4/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d^2/i/(a*d-b*c)^4/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-2*d^2*e/i/(a*d-b*c)^4/g^3*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d*e/i/(a*d-b*c)^4/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2*d^2*e/i/(a*d-b*c)^4/g^3*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d*e/i/(a*d-b*c)^4/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+1/2*d*e^2/i/(a*d-b*c)^4/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*e^2/i/(a*d-b*c)^4/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/4*d*e^2/i/(a*d-b*c)^4/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*e^2/i/(a*d-b*c)^4/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c","B"
38,1,1474,363,0.052000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4/(d*i*x+c*i),x)","-\frac{B a \,b^{3} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}+\frac{B \,b^{4} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}-\frac{A a \,b^{3} d \,e^{3}}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}+\frac{A \,b^{4} c \,e^{3}}{3 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}-\frac{B a \,b^{3} d \,e^{3}}{9 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}+\frac{3 B a \,b^{2} d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}+\frac{B \,b^{4} c \,e^{3}}{9 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i}-\frac{3 B \,b^{3} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}+\frac{3 A a \,b^{2} d^{2} e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}-\frac{3 A \,b^{3} c d \,e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}+\frac{3 B a \,b^{2} d^{2} e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}-\frac{3 B a b \,d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}-\frac{B a \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{4} i}-\frac{3 B \,b^{3} c d \,e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i}+\frac{3 B \,b^{2} c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}+\frac{B b c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{4} i}-\frac{3 A a b \,d^{3} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}-\frac{A a \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{4} i}+\frac{3 A \,b^{2} c \,d^{2} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}+\frac{A b c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{4} i}-\frac{3 B a b \,d^{3} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}+\frac{3 B \,b^{2} c \,d^{2} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i}"," ",0,"-d^4/i/(a*d-b*c)^5/g^4*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^3/i/(a*d-b*c)^5/g^4*A*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-3*d^3*e/i/(a*d-b*c)^5/g^4*A*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+3*d^2*e/i/(a*d-b*c)^5/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/3*d*e^3/i/(a*d-b*c)^5/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/3*e^3/i/(a*d-b*c)^5/g^4*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-1/2*d^4/i/(a*d-b*c)^5/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d^3/i/(a*d-b*c)^5/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-3*d^3*e/i/(a*d-b*c)^5/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3*d^2*e/i/(a*d-b*c)^5/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3*d^3*e/i/(a*d-b*c)^5/g^4*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+3*d^2*e/i/(a*d-b*c)^5/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+3/4*d^2*e^2/i/(a*d-b*c)^5/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3/4*d*e^2/i/(a*d-b*c)^5/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/3*d*e^3/i/(a*d-b*c)^5/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/3*e^3/i/(a*d-b*c)^5/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/9*d*e^3/i/(a*d-b*c)^5/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/9*e^3/i/(a*d-b*c)^5/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c","B"
39,1,2973,333,0.156000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^2,x)","\text{output too large to display}"," ",0,"9/d^3*e*B*g^3/i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2/(d*x+c)*a+1/d*B*g^3/i^2*a^3/(d*x+c)-1/d*A*g^3/i^2*a^3/(d*x+c)+2/d*e^2*B*g^3/i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^3/(d*x+c)^2*c-3/d^2*e^2*B*g^3/i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2/(d*x+c)^2*c^2+2/d^3*e^2*B*g^3/i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a/(d*x+c)^2*c^3-9/d^2*e*B*g^3/i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c/(d*x+c)*a^2-3/d^4*A*g^3/i^2*b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2-3/d^2*A*g^3/i^2*b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-1/d*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^3/(d*x+c)-1/d^4*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c^2-1/d^2*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a^2*b-5/2/d^4*B*g^3/i^2*b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c^2-3/d^4*B*g^3/i^2*b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2-5/2/d^2*B*g^3/i^2*b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a^2-3/d^2*B*g^3/i^2*b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2-2/d^3*B*g^3/i^2*a*b^2*c+2/d^3*A*g^3/i^2*b^2*a*c-3/d^4*e*B*g^3/i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^3/(d*x+c)-6/d^3*e*B*g^3/i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c+3/d*e*B*g^3/i^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^3/(d*x+c)-1/2/d^4*e^2*B*g^3/i^2*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^4/(d*x+c)^2-1/d^3*e^2*B*g^3/i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a*c+1/d^2*B*g^3/i^2*a^2*b-1/d^2*A*g^3/i^2*b*a^2-1/d^4*A*g^3/i^2*b^3*c^2+3/d^2*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c/(d*x+c)*a^2-3/d^3*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c^2/(d*x+c)*a-1/2*e^2*B*g^3/i^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^4/(d*x+c)^2+6/d^3*B*g^3/i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a*c+1/2/d^4*e^2*B*g^3/i^2*b^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2+3/d^2*e*B*g^3/i^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+3/d^4*e*B*g^3/i^2*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+1/2/d^2*e^2*B*g^3/i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2-6/d^3*e*A*g^3/i^2*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a*c-1/d^3*e*B*g^3/i^2*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c*a-1/d^3*e^2*A*g^3/i^2*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c*a-3/d^4*B*g^3/i^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c^2+2/d^3*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c*a+1/d^4*B*g^3/i^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c^3/(d*x+c)+5/d^3*B*g^3/i^2*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c*a+6/d^3*B*g^3/i^2*b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c*a+6/d^3*A*g^3/i^2*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a*c-3/d^2*B*g^3/i^2*b*c/(d*x+c)*a^2+1/2/d^4*e^2*A*g^3/i^2*b^5/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*c^2+3/d^3*B*g^3/i^2*b^2*c^2/(d*x+c)*a+3/d^2*A*g^3/i^2*b*c/(d*x+c)*a^2-3/d^3*A*g^3/i^2*b^2*c^2/(d*x+c)*a+1/2/d^2*e^2*A*g^3/i^2*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)^2*a^2+3/d^2*e*A*g^3/i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+1/2/d^4*e*B*g^3/i^2*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2+1/2/d^2*e*B*g^3/i^2*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a^2+3/d^4*e*A*g^3/i^2*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c^2-3/d^2*B*g^3/i^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a^2+1/d^4*B*g^3/i^2*b^3*c^2+1/d^4*A*g^3/i^2*b^3*c^3/(d*x+c)-1/d^4*B*g^3/i^2*b^3*c^3/(d*x+c)","B"
40,1,1382,260,0.137000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^2,x)","\frac{B \,a^{2} b e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d \,i^{2}}-\frac{2 B a \,b^{2} c e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2} i^{2}}+\frac{B \,b^{3} c^{2} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{3} i^{2}}+\frac{B a \,b^{2} e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i^{2}}-\frac{B \,b^{3} c e \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i^{2}}+\frac{A a \,b^{2} e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{2} i^{2}}-\frac{A \,b^{3} c e \,g^{2}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i^{2}}-\frac{B \,a^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d \,i^{2}}+\frac{2 B a b c \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d^{2} i^{2}}-\frac{2 B a b \,g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{2} i^{2}}-\frac{B \,b^{2} c^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d^{3} i^{2}}+\frac{2 B \,b^{2} c \,g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{3} i^{2}}-\frac{A \,a^{2} g^{2}}{\left(d x +c \right) d \,i^{2}}+\frac{2 A a b c \,g^{2}}{\left(d x +c \right) d^{2} i^{2}}-\frac{2 A a b \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i^{2}}-\frac{A \,b^{2} c^{2} g^{2}}{\left(d x +c \right) d^{3} i^{2}}+\frac{2 A \,b^{2} c \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{3} i^{2}}+\frac{B \,a^{2} g^{2}}{\left(d x +c \right) d \,i^{2}}-\frac{2 B a b c \,g^{2}}{\left(d x +c \right) d^{2} i^{2}}-\frac{2 B a b \,g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{2} i^{2}}-\frac{B a b \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{2} i^{2}}-\frac{B a b \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{2} i^{2}}+\frac{B \,b^{2} c^{2} g^{2}}{\left(d x +c \right) d^{3} i^{2}}+\frac{2 B \,b^{2} c \,g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{3} i^{2}}+\frac{B \,b^{2} c \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{3} i^{2}}+\frac{B \,b^{2} c \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{3} i^{2}}-\frac{A a b \,g^{2}}{d^{2} i^{2}}+\frac{A \,b^{2} c \,g^{2}}{d^{3} i^{2}}+\frac{B a b \,g^{2}}{d^{2} i^{2}}-\frac{B \,b^{2} c \,g^{2}}{d^{3} i^{2}}"," ",0,"-2*e/d^2*g^2/i^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a*c+2/d^2*g^2/i^2*A/(d*x+c)*a*b*c-1/d^3*g^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2/d^3*g^2/i^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-2/d^2*g^2/i^2*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+e/d^2*g^2/i^2*A*b^2/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-e/d^3*g^2/i^2*A*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-2/d^2*g^2/i^2*B/(d*x+c)*a*b*c+e/d^2*g^2/i^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a+2/d^2*g^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-e/d^3*g^2/i^2*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-1/d*g^2/i^2*A/(d*x+c)*a^2+1/d*g^2/i^2*B/(d*x+c)*a^2+1/d^3*g^2/i^2*B/(d*x+c)*b^2*c^2-1/d^3*g^2/i^2*A/(d*x+c)*b^2*c^2+1/d^3*g^2/i^2*B*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-1/d^2*g^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-1/d^2*g^2/i^2*B*b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d^3*g^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-1/d*g^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-2/d^2*g^2/i^2*B*b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2/d^3*g^2/i^2*B*b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+2/d^3*g^2/i^2*A*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-2/d^2*g^2/i^2*A*b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+e/d*g^2/i^2*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2+e/d^3*g^2/i^2*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c^2-1/d^2*g^2/i^2*A*b*a+1/d^3*g^2/i^2*A*b^2*c+1/d^2*g^2/i^2*B*b*a-1/d^3*g^2/i^2*B*b^2*c","B"
41,1,978,160,0.056000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^2,x)","-\frac{B \,a^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) i^{2}}+\frac{2 B a b c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) d \,i^{2}}-\frac{B a b g \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d \,i^{2}}-\frac{B \,b^{2} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{2}}+\frac{B \,b^{2} c g \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d^{2} i^{2}}-\frac{A \,a^{2} g}{\left(a d -b c \right) \left(d x +c \right) i^{2}}+\frac{2 A a b c g}{\left(a d -b c \right) \left(d x +c \right) d \,i^{2}}-\frac{A a b g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d \,i^{2}}-\frac{A \,b^{2} c^{2} g}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{2}}+\frac{A \,b^{2} c g \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d^{2} i^{2}}+\frac{B \,a^{2} g}{\left(a d -b c \right) \left(d x +c \right) i^{2}}-\frac{2 B a b c g}{\left(a d -b c \right) \left(d x +c \right) d \,i^{2}}-\frac{B a b g \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d \,i^{2}}-\frac{B a b g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d \,i^{2}}+\frac{B \,b^{2} c^{2} g}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{2}}+\frac{B \,b^{2} c g \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d^{2} i^{2}}+\frac{B \,b^{2} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d^{2} i^{2}}-\frac{A a b g}{\left(a d -b c \right) d \,i^{2}}+\frac{A \,b^{2} c g}{\left(a d -b c \right) d^{2} i^{2}}+\frac{B a b g}{\left(a d -b c \right) d \,i^{2}}-\frac{B \,b^{2} c g}{\left(a d -b c \right) d^{2} i^{2}}"," ",0,"-1/d*g/(a*d-b*c)/i^2*A*b*a+1/d^2*g/(a*d-b*c)/i^2*A*b^2*c-g/(a*d-b*c)/i^2*A/(d*x+c)*a^2+2/d*g/(a*d-b*c)/i^2*A/(d*x+c)*a*b*c-1/d^2*g/(a*d-b*c)/i^2*A/(d*x+c)*b^2*c^2-1/d*g/(a*d-b*c)/i^2*A*b*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d^2*g/(a*d-b*c)/i^2*A*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-1/d*g/(a*d-b*c)/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+1/d^2*g/(a*d-b*c)/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-g/(a*d-b*c)/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2/d*g/(a*d-b*c)/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-1/d^2*g/(a*d-b*c)/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+1/d*g/(a*d-b*c)/i^2*B*b*a-1/d^2*g/(a*d-b*c)/i^2*B*b^2*c+g/(a*d-b*c)/i^2*B/(d*x+c)*a^2-2/d*g/(a*d-b*c)/i^2*B/(d*x+c)*a*b*c+1/d^2*g/(a*d-b*c)/i^2*B/(d*x+c)*b^2*c^2-1/d*g/(a*d-b*c)/i^2*B*b*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d^2*g/(a*d-b*c)/i^2*B*b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-1/d*g/(a*d-b*c)/i^2*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/d^2*g/(a*d-b*c)/i^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c","B"
42,1,515,98,0.049000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^2,x)","-\frac{B \,a^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{2 B a b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{B \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}-\frac{A \,a^{2} d}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{2 A a b c}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{A \,b^{2} c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{B \,a^{2} d}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{2 B a b c}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{B a b \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} i^{2}}+\frac{B \,b^{2} c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} d \,i^{2}}-\frac{A a b}{\left(a d -b c \right)^{2} i^{2}}+\frac{A \,b^{2} c}{\left(a d -b c \right)^{2} d \,i^{2}}+\frac{B a b}{\left(a d -b c \right)^{2} i^{2}}-\frac{B \,b^{2} c}{\left(a d -b c \right)^{2} d \,i^{2}}"," ",0,"-1/(a*d-b*c)^2/i^2*A*b*a+1/d/(a*d-b*c)^2/i^2*A*b^2*c-d/(a*d-b*c)^2/i^2*A/(d*x+c)*a^2+2/(a*d-b*c)^2/i^2*A/(d*x+c)*a*b*c-1/d/(a*d-b*c)^2/i^2*A/(d*x+c)*b^2*c^2-1/(a*d-b*c)^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+1/d/(a*d-b*c)^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-d/(a*d-b*c)^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2/(a*d-b*c)^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-1/d/(a*d-b*c)^2/i^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+d/(a*d-b*c)^2/i^2*B/(d*x+c)*a^2-2/(a*d-b*c)^2/i^2*B/(d*x+c)*a*b*c+1/d/(a*d-b*c)^2/i^2*B/(d*x+c)*b^2*c^2+1/(a*d-b*c)^2/i^2*B*b*a-1/d/(a*d-b*c)^2/i^2*B*b^2*c","B"
43,1,759,154,0.050000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","-\frac{B \,a^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 B a b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{B a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} g \,i^{2}}-\frac{B \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} g \,i^{2}}-\frac{A \,a^{2} d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 A a b c d}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{A a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{A \,b^{2} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{A \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{B \,a^{2} d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{2 B a b c d}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{B a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{B \,b^{2} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{A a b d}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{A \,b^{2} c}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{B a b d}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{B \,b^{2} c}{\left(a d -b c \right)^{3} g \,i^{2}}"," ",0,"-d/i^2/(a*d-b*c)^3/g*A*b*a+1/i^2/(a*d-b*c)^3/g*A*b^2*c-d^2/i^2/(a*d-b*c)^3/g*A/(d*x+c)*a^2+2*d/i^2/(a*d-b*c)^3/g*A/(d*x+c)*a*b*c-1/i^2/(a*d-b*c)^3/g*A/(d*x+c)*b^2*c^2+d/i^2/(a*d-b*c)^3/g*A*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/i^2/(a*d-b*c)^3/g*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d/i^2/(a*d-b*c)^3/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+1/i^2/(a*d-b*c)^3/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-d^2/i^2/(a*d-b*c)^3/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2*d/i^2/(a*d-b*c)^3/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-1/i^2/(a*d-b*c)^3/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+d^2/i^2/(a*d-b*c)^3/g*B/(d*x+c)*a^2-2*d/i^2/(a*d-b*c)^3/g*B/(d*x+c)*a*b*c+1/i^2/(a*d-b*c)^3/g*B/(d*x+c)*b^2*c^2+d/i^2/(a*d-b*c)^3/g*B*b*a-1/i^2/(a*d-b*c)^3/g*B*b^2*c+1/2*d/i^2/(a*d-b*c)^3/g*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2/i^2/(a*d-b*c)^3/g*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
44,1,1187,261,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","-\frac{B \,a^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B a \,b^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 B a b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{B \,b^{3} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{B \,b^{2} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{B \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A \,a^{2} d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{A a \,b^{2} d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 A a b c \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A \,b^{3} c e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{A \,b^{2} c^{2} d}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 A \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{B \,a^{2} d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B a \,b^{2} d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{2 B a b c \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{B a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{B \,b^{3} c e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{B \,b^{2} c^{2} d}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A a b \,d^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{A \,b^{2} c d}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{B a b \,d^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{B \,b^{2} c d}{\left(a d -b c \right)^{4} g^{2} i^{2}}"," ",0,"-d/i^2/(a*d-b*c)^4/g^2*B*b^2*c+d*e/i^2/(a*d-b*c)^4/g^2*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+d^2/i^2/(a*d-b*c)^4/g^2*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2*d^2/i^2/(a*d-b*c)^4/g^2*B/(d*x+c)*a*b*c+2*d^2/i^2/(a*d-b*c)^4/g^2*A/(d*x+c)*a*b*c-e/i^2/(a*d-b*c)^4/g^2*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d/i^2/(a*d-b*c)^4/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+d*e/i^2/(a*d-b*c)^4/g^2*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-d^2/i^2/(a*d-b*c)^4/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-d/i^2/(a*d-b*c)^4/g^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+2*d^2/i^2/(a*d-b*c)^4/g^2*A*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d/i^2/(a*d-b*c)^4/g^2*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^2/i^2/(a*d-b*c)^4/g^2*A*b*a+d/i^2/(a*d-b*c)^4/g^2*A*b^2*c+d^2/i^2/(a*d-b*c)^4/g^2*B*b*a-d^3/i^2/(a*d-b*c)^4/g^2*A/(d*x+c)*a^2+d^3/i^2/(a*d-b*c)^4/g^2*B/(d*x+c)*a^2+2*d^2/i^2/(a*d-b*c)^4/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+d*e/i^2/(a*d-b*c)^4/g^2*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d/i^2/(a*d-b*c)^4/g^2*B/(d*x+c)*b^2*c^2-d^3/i^2/(a*d-b*c)^4/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-e/i^2/(a*d-b*c)^4/g^2*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d/i^2/(a*d-b*c)^4/g^2*A/(d*x+c)*b^2*c^2+d/i^2/(a*d-b*c)^4/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-e/i^2/(a*d-b*c)^4/g^2*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c","B"
45,1,1635,358,0.051000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","-\frac{B a \,b^{3} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}+\frac{B \,b^{4} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}-\frac{A a \,b^{3} d \,e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}+\frac{A \,b^{4} c \,e^{2}}{2 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}-\frac{B \,a^{2} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}-\frac{B a \,b^{3} d \,e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}+\frac{3 B a \,b^{2} d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}+\frac{2 B a b c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}+\frac{3 B a b \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{3} i^{2}}+\frac{B \,b^{4} c \,e^{2}}{4 \left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{2}}-\frac{3 B \,b^{3} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}-\frac{B \,b^{2} c^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}-\frac{3 B \,b^{2} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{3} i^{2}}-\frac{A \,a^{2} d^{4}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}+\frac{3 A a \,b^{2} d^{2} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}+\frac{2 A a b c \,d^{3}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}+\frac{3 A a b \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{3} i^{2}}-\frac{3 A \,b^{3} c d e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}-\frac{A \,b^{2} c^{2} d^{2}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}-\frac{3 A \,b^{2} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{3} i^{2}}+\frac{B \,a^{2} d^{4}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}+\frac{3 B a \,b^{2} d^{2} e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}-\frac{2 B a b c \,d^{3}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}-\frac{B a b \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{3} i^{2}}-\frac{3 B \,b^{3} c d e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{2}}+\frac{B \,b^{2} c^{2} d^{2}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{3} i^{2}}+\frac{B \,b^{2} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{3} i^{2}}-\frac{A a b \,d^{3}}{\left(a d -b c \right)^{5} g^{3} i^{2}}+\frac{A \,b^{2} c \,d^{2}}{\left(a d -b c \right)^{5} g^{3} i^{2}}+\frac{B a b \,d^{3}}{\left(a d -b c \right)^{5} g^{3} i^{2}}-\frac{B \,b^{2} c \,d^{2}}{\left(a d -b c \right)^{5} g^{3} i^{2}}"," ",0,"3*d^3/i^2/(a*d-b*c)^5/g^3*A*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3*d^2/i^2/(a*d-b*c)^5/g^3*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^3/i^2/(a*d-b*c)^5/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+d^2/i^2/(a*d-b*c)^5/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-d^4/i^2/(a*d-b*c)^5/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+3/2*d^3/i^2/(a*d-b*c)^5/g^3*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-3/2*d^2/i^2/(a*d-b*c)^5/g^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/4*d*e^2/i^2/(a*d-b*c)^5/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+d^3/i^2/(a*d-b*c)^5/g^3*B*b*a-d^2/i^2/(a*d-b*c)^5/g^3*B*b^2*c-d^3/i^2/(a*d-b*c)^5/g^3*A*b*a+d^2/i^2/(a*d-b*c)^5/g^3*A*b^2*c-d^2/i^2/(a*d-b*c)^5/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2-d^4/i^2/(a*d-b*c)^5/g^3*A/(d*x+c)*a^2+d^4/i^2/(a*d-b*c)^5/g^3*B/(d*x+c)*a^2+2*d^3/i^2/(a*d-b*c)^5/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-3*d*e/i^2/(a*d-b*c)^5/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3*d^2*e/i^2/(a*d-b*c)^5/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^2/i^2/(a*d-b*c)^5/g^3*A/(d*x+c)*b^2*c^2+1/2*e^2/i^2/(a*d-b*c)^5/g^3*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+d^2/i^2/(a*d-b*c)^5/g^3*B/(d*x+c)*b^2*c^2+1/4*e^2/i^2/(a*d-b*c)^5/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-3*d*e/i^2/(a*d-b*c)^5/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3*d*e/i^2/(a*d-b*c)^5/g^3*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3*d^2*e/i^2/(a*d-b*c)^5/g^3*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^3/i^2/(a*d-b*c)^5/g^3*A/(d*x+c)*a*b*c+3*d^2*e/i^2/(a*d-b*c)^5/g^3*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*d^3/i^2/(a*d-b*c)^5/g^3*B/(d*x+c)*a*b*c+1/2*e^2/i^2/(a*d-b*c)^5/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c","B"
46,1,2068,453,0.050000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","\frac{B a \,b^{4} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}-\frac{B \,b^{5} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}+\frac{A a \,b^{4} d \,e^{3}}{3 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}-\frac{A \,b^{5} c \,e^{3}}{3 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}+\frac{B a \,b^{4} d \,e^{3}}{9 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}-\frac{2 B a \,b^{3} d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}-\frac{B \,b^{5} c \,e^{3}}{9 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{2}}+\frac{2 B \,b^{4} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}-\frac{2 A a \,b^{3} d^{2} e^{2}}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}+\frac{2 A \,b^{4} c d \,e^{2}}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}-\frac{B \,a^{2} d^{5} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}-\frac{B a \,b^{3} d^{2} e^{2}}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}+\frac{6 B a \,b^{2} d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}+\frac{2 B a b c \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}+\frac{2 B a b \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{6} g^{4} i^{2}}+\frac{B \,b^{4} c d \,e^{2}}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{2}}-\frac{6 B \,b^{3} c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}-\frac{B \,b^{2} c^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}-\frac{2 B \,b^{2} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{6} g^{4} i^{2}}-\frac{A \,a^{2} d^{5}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}+\frac{6 A a \,b^{2} d^{3} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}+\frac{2 A a b c \,d^{4}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}+\frac{4 A a b \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{4} i^{2}}-\frac{6 A \,b^{3} c \,d^{2} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}-\frac{A \,b^{2} c^{2} d^{3}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}-\frac{4 A \,b^{2} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{4} i^{2}}+\frac{B \,a^{2} d^{5}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}+\frac{6 B a \,b^{2} d^{3} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}-\frac{2 B a b c \,d^{4}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}-\frac{B a b \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{4} i^{2}}-\frac{6 B \,b^{3} c \,d^{2} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{2}}+\frac{B \,b^{2} c^{2} d^{3}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{4} i^{2}}+\frac{B \,b^{2} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{4} i^{2}}-\frac{A a b \,d^{4}}{\left(a d -b c \right)^{6} g^{4} i^{2}}+\frac{A \,b^{2} c \,d^{3}}{\left(a d -b c \right)^{6} g^{4} i^{2}}+\frac{B a b \,d^{4}}{\left(a d -b c \right)^{6} g^{4} i^{2}}-\frac{B \,b^{2} c \,d^{3}}{\left(a d -b c \right)^{6} g^{4} i^{2}}"," ",0,"-6*d^2*e/i^2/(a*d-b*c)^6/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^3/i^2/(a*d-b*c)^6/g^4*B*b^2*c+2*d^4/i^2/(a*d-b*c)^6/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+1/3*d*e^3/i^2/(a*d-b*c)^6/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^3/i^2/(a*d-b*c)^6/g^4*A*b^2*c+2*d*e^2/i^2/(a*d-b*c)^6/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^3/i^2/(a*d-b*c)^6/g^4*A/(d*x+c)*b^2*c^2-1/3*e^3/i^2/(a*d-b*c)^6/g^4*A*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+d^3/i^2/(a*d-b*c)^6/g^4*B/(d*x+c)*b^2*c^2+d^3/i^2/(a*d-b*c)^6/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+2*d^4/i^2/(a*d-b*c)^6/g^4*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2*d^3/i^2/(a*d-b*c)^6/g^4*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-4*d^3/i^2/(a*d-b*c)^6/g^4*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^5/i^2/(a*d-b*c)^6/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+4*d^4/i^2/(a*d-b*c)^6/g^4*A*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^4/i^2/(a*d-b*c)^6/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-1/9*e^3/i^2/(a*d-b*c)^6/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-d^5/i^2/(a*d-b*c)^6/g^4*A/(d*x+c)*a^2+d^5/i^2/(a*d-b*c)^6/g^4*B/(d*x+c)*a^2+d^4/i^2/(a*d-b*c)^6/g^4*B*b*a-d^4/i^2/(a*d-b*c)^6/g^4*A*b*a+6*d^3*e/i^2/(a*d-b*c)^6/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d*e^2/i^2/(a*d-b*c)^6/g^4*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+6*d^3*e/i^2/(a*d-b*c)^6/g^4*A*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-6*d^2*e/i^2/(a*d-b*c)^6/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+6*d^3*e/i^2/(a*d-b*c)^6/g^4*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^4/i^2/(a*d-b*c)^6/g^4*A/(d*x+c)*a*b*c-2*d^4/i^2/(a*d-b*c)^6/g^4*B/(d*x+c)*a*b*c-d^2*e^2/i^2/(a*d-b*c)^6/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+d*e^2/i^2/(a*d-b*c)^6/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+1/9*d*e^3/i^2/(a*d-b*c)^6/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-6*d^2*e/i^2/(a*d-b*c)^6/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/3*d*e^3/i^2/(a*d-b*c)^6/g^4*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*e^3/i^2/(a*d-b*c)^6/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^3/i^2/(a*d-b*c)^6/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2","B"
47,1,1815,357,0.141000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^3,x)","\frac{B \,a^{2} b^{2} e \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{2} i^{3}}-\frac{2 B a \,b^{3} c e \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{3} i^{3}}+\frac{B \,b^{4} c^{2} e \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) \left(d x +c \right) d^{4} i^{3}}-\frac{B \,a^{3} g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(d x +c \right)^{2} d \,i^{3}}+\frac{3 B \,a^{2} b c \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{B a \,b^{3} e \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i^{3}}-\frac{3 B a \,b^{2} c^{2} g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(d x +c \right)^{2} d^{3} i^{3}}-\frac{B \,b^{4} c e \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{4} i^{3}}+\frac{B \,b^{3} c^{3} g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(d x +c \right)^{2} d^{4} i^{3}}-\frac{A \,a^{3} g^{3}}{2 \left(d x +c \right)^{2} d \,i^{3}}+\frac{3 A \,a^{2} b c \,g^{3}}{2 \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{A a \,b^{3} e \,g^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{3} i^{3}}-\frac{3 A a \,b^{2} c^{2} g^{3}}{2 \left(d x +c \right)^{2} d^{3} i^{3}}-\frac{A \,b^{4} c e \,g^{3}}{\left(\frac{a d e}{d x +c}-\frac{b c e}{d x +c}\right) d^{4} i^{3}}+\frac{A \,b^{3} c^{3} g^{3}}{2 \left(d x +c \right)^{2} d^{4} i^{3}}+\frac{B \,a^{3} g^{3}}{4 \left(d x +c \right)^{2} d \,i^{3}}-\frac{3 B \,a^{2} b c \,g^{3}}{4 \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{3 B \,a^{2} b \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d^{2} i^{3}}+\frac{3 B a \,b^{2} c^{2} g^{3}}{4 \left(d x +c \right)^{2} d^{3} i^{3}}+\frac{6 B a \,b^{2} c \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d^{3} i^{3}}-\frac{3 B a \,b^{2} g^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{3} i^{3}}-\frac{B \,b^{3} c^{3} g^{3}}{4 \left(d x +c \right)^{2} d^{4} i^{3}}-\frac{3 B \,b^{3} c^{2} g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(d x +c \right) d^{4} i^{3}}+\frac{3 B \,b^{3} c \,g^{3} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{d^{4} i^{3}}-\frac{3 A \,a^{2} b \,g^{3}}{\left(d x +c \right) d^{2} i^{3}}+\frac{6 A a \,b^{2} c \,g^{3}}{\left(d x +c \right) d^{3} i^{3}}-\frac{3 A a \,b^{2} g^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{3} i^{3}}-\frac{3 A \,b^{3} c^{2} g^{3}}{\left(d x +c \right) d^{4} i^{3}}+\frac{3 A \,b^{3} c \,g^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{4} i^{3}}+\frac{5 B \,a^{2} b \,g^{3}}{2 \left(d x +c \right) d^{2} i^{3}}-\frac{5 B a \,b^{2} c \,g^{3}}{\left(d x +c \right) d^{3} i^{3}}-\frac{3 B a \,b^{2} g^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{3} i^{3}}-\frac{B a \,b^{2} g^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{3} i^{3}}-\frac{5 B a \,b^{2} g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 d^{3} i^{3}}+\frac{5 B \,b^{3} c^{2} g^{3}}{2 \left(d x +c \right) d^{4} i^{3}}+\frac{3 B \,b^{3} c \,g^{3} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{d^{4} i^{3}}+\frac{B \,b^{3} c \,g^{3} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{d^{4} i^{3}}+\frac{5 B \,b^{3} c \,g^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 d^{4} i^{3}}-\frac{5 A a \,b^{2} g^{3}}{2 d^{3} i^{3}}+\frac{5 A \,b^{3} c \,g^{3}}{2 d^{4} i^{3}}+\frac{9 B a \,b^{2} g^{3}}{4 d^{3} i^{3}}-\frac{9 B \,b^{3} c \,g^{3}}{4 d^{4} i^{3}}"," ",0,"-2/d^3*e*g^3/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c*a+1/d^4*e*g^3/i^3*B*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*c^2+1/d^2*e*g^3/i^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)/(d*x+c)*a^2+1/4/d*g^3/i^3*B/(d*x+c)^2*a^3-1/2/d*g^3/i^3*A/(d*x+c)^2*a^3-1/d^4*e*g^3/i^3*B*b^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-3/2/d^3*g^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-1/d^4*e*g^3/i^3*A*b^4/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*c-3/d^4*g^3/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*c^2+3/2/d^2*g^3/i^3*A/(d*x+c)^2*a^2*b*c+1/2/d^4*g^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-3/4/d^2*g^3/i^3*B/(d*x+c)^2*a^2*b*c-3/2/d^3*g^3/i^3*A/(d*x+c)^2*a*b^2*c^2+6/d^3*g^3/i^3*A*b^2/(d*x+c)*a*c-5/d^3*g^3/i^3*B*b^2/(d*x+c)*a*c+3/4/d^3*g^3/i^3*B/(d*x+c)^2*b^2*c^2*a-3/d^3*g^3/i^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+3/d^4*g^3/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+1/d^3*e*g^3/i^3*A*b^3/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a-3/d^2*g^3/i^3*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+3/2/d^2*g^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+6/d^3*g^3/i^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*c+1/d^3*e*g^3/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(1/(d*x+c)*a*d*e-1/(d*x+c)*b*c*e)*a+3/d^4*g^3/i^3*A*b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c-3/d^3*g^3/i^3*B*b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+3/d^4*g^3/i^3*B*b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-5/2/d^3*g^3/i^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/d^4*g^3/i^3*B*b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+5/2/d^4*g^3/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2/d*g^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+5/2/d^4*g^3/i^3*A*b^3*c-5/2/d^3*g^3/i^3*A*b^2*a+9/4/d^3*g^3/i^3*B*b^2*a-9/4/d^4*g^3/i^3*B*b^3*c+5/2/d^2*g^3/i^3*B*b/(d*x+c)*a^2+5/2/d^4*g^3/i^3*B*b^3/(d*x+c)*c^2-1/4/d^4*g^3/i^3*B/(d*x+c)^2*b^3*c^3-3/d^4*g^3/i^3*A*b^3/(d*x+c)*c^2+1/2/d^4*g^3/i^3*A/(d*x+c)^2*b^3*c^3-3/d^2*g^3/i^3*A*b/(d*x+c)*a^2-3/d^3*g^3/i^3*A*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a-1/d^3*g^3/i^3*B*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a","B"
48,1,1569,247,0.055000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(d x +c \right)^{2} i^{3}}+\frac{3 B \,a^{2} b c \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d \,i^{3}}-\frac{3 B a \,b^{2} c^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{B \,b^{3} c^{3} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{3} i^{3}}-\frac{A \,a^{3} g^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} i^{3}}+\frac{3 A \,a^{2} b c \,g^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d \,i^{3}}-\frac{3 A a \,b^{2} c^{2} g^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{A \,b^{3} c^{3} g^{2}}{2 \left(a d -b c \right) \left(d x +c \right)^{2} d^{3} i^{3}}+\frac{B \,a^{3} g^{2}}{4 \left(a d -b c \right) \left(d x +c \right)^{2} i^{3}}-\frac{3 B \,a^{2} b c \,g^{2}}{4 \left(a d -b c \right) \left(d x +c \right)^{2} d \,i^{3}}-\frac{2 B \,a^{2} b \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) d \,i^{3}}+\frac{3 B a \,b^{2} c^{2} g^{2}}{4 \left(a d -b c \right) \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{4 B a \,b^{2} c \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{3}}-\frac{B a \,b^{2} g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d^{2} i^{3}}-\frac{B \,b^{3} c^{3} g^{2}}{4 \left(a d -b c \right) \left(d x +c \right)^{2} d^{3} i^{3}}-\frac{2 B \,b^{3} c^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) \left(d x +c \right) d^{3} i^{3}}+\frac{B \,b^{3} c \,g^{2} \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d^{3} i^{3}}-\frac{2 A \,a^{2} b \,g^{2}}{\left(a d -b c \right) \left(d x +c \right) d \,i^{3}}+\frac{4 A a \,b^{2} c \,g^{2}}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{3}}-\frac{A a \,b^{2} g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d^{2} i^{3}}-\frac{2 A \,b^{3} c^{2} g^{2}}{\left(a d -b c \right) \left(d x +c \right) d^{3} i^{3}}+\frac{A \,b^{3} c \,g^{2} \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d^{3} i^{3}}+\frac{3 B \,a^{2} b \,g^{2}}{2 \left(a d -b c \right) \left(d x +c \right) d \,i^{3}}-\frac{3 B a \,b^{2} c \,g^{2}}{\left(a d -b c \right) \left(d x +c \right) d^{2} i^{3}}-\frac{B a \,b^{2} g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d^{2} i^{3}}-\frac{3 B a \,b^{2} g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) d^{2} i^{3}}+\frac{3 B \,b^{3} c^{2} g^{2}}{2 \left(a d -b c \right) \left(d x +c \right) d^{3} i^{3}}+\frac{B \,b^{3} c \,g^{2} \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d^{3} i^{3}}+\frac{3 B \,b^{3} c \,g^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right) d^{3} i^{3}}-\frac{3 A a \,b^{2} g^{2}}{2 \left(a d -b c \right) d^{2} i^{3}}+\frac{3 A \,b^{3} c \,g^{2}}{2 \left(a d -b c \right) d^{3} i^{3}}+\frac{5 B a \,b^{2} g^{2}}{4 \left(a d -b c \right) d^{2} i^{3}}-\frac{5 B \,b^{3} c \,g^{2}}{4 \left(a d -b c \right) d^{3} i^{3}}"," ",0,"-1/2*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-1/2*g^2/(a*d-b*c)/i^3*A/(d*x+c)^2*a^3+1/4*g^2/(a*d-b*c)/i^3*B/(d*x+c)^2*a^3-3/2/d^2*g^2/(a*d-b*c)/i^3*A*b^2*a+3/2/d*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+4/d^2*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+3/2/d^3*g^2/(a*d-b*c)/i^3*A*b^3*c+5/4/d^2*g^2/(a*d-b*c)/i^3*B*b^2*a-5/4/d^3*g^2/(a*d-b*c)/i^3*B*b^3*c-3/2/d^2*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+1/d^3*g^2/(a*d-b*c)/i^3*A*b^3*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*c+1/d^3*g^2/(a*d-b*c)/i^3*B*b^3*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c+3/2/d^3*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-1/d^2*g^2/(a*d-b*c)/i^3*B*b^2*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+1/2/d^3*g^2/(a*d-b*c)/i^3*A/(d*x+c)^2*b^3*c^3+3/2/d*g^2/(a*d-b*c)/i^3*B*b/(d*x+c)*a^2+3/2/d^3*g^2/(a*d-b*c)/i^3*B*b^3/(d*x+c)*c^2-1/d^2*g^2/(a*d-b*c)/i^3*A*b^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a-2/d*g^2/(a*d-b*c)/i^3*A*b/(d*x+c)*a^2-2/d^3*g^2/(a*d-b*c)/i^3*A*b^3/(d*x+c)*c^2-1/4/d^3*g^2/(a*d-b*c)/i^3*B/(d*x+c)^2*b^3*c^3-3/2/d^2*g^2/(a*d-b*c)/i^3*A/(d*x+c)^2*a*b^2*c^2+4/d^2*g^2/(a*d-b*c)/i^3*A*b^2/(d*x+c)*a*c+3/2/d*g^2/(a*d-b*c)/i^3*A/(d*x+c)^2*a^2*b*c-3/4/d*g^2/(a*d-b*c)/i^3*B/(d*x+c)^2*a^2*b*c-3/d^2*g^2/(a*d-b*c)/i^3*B*b^2/(d*x+c)*a*c+3/4/d^2*g^2/(a*d-b*c)/i^3*B/(d*x+c)^2*a*b^2*c^2-1/d^2*g^2/(a*d-b*c)/i^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a-2/d*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+1/d^3*g^2/(a*d-b*c)/i^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*c-2/d^3*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+1/2/d^3*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-3/2/d^2*g^2/(a*d-b*c)/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2","B"
49,1,1049,81,0.051000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} d g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 B \,a^{2} b c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 B a \,b^{2} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{B \,b^{3} c^{3} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{A \,a^{3} d g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 A \,a^{2} b c g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 A a \,b^{2} c^{2} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{A \,b^{3} c^{3} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{B \,a^{3} d g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 B \,a^{2} b c g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{B \,a^{2} b g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{3 B a \,b^{2} c^{2} g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{2 B a \,b^{2} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{B \,b^{3} c^{3} g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{B \,b^{3} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}-\frac{A \,a^{2} b g}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{2 A a \,b^{2} c g}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{A \,b^{3} c^{2} g}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}+\frac{B \,a^{2} b g}{2 \left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}-\frac{B a \,b^{2} c g}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{B a \,b^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} d \,i^{3}}+\frac{B \,b^{3} c^{2} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}+\frac{B \,b^{3} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}-\frac{A a \,b^{2} g}{2 \left(a d -b c \right)^{2} d \,i^{3}}+\frac{A \,b^{3} c g}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}+\frac{B a \,b^{2} g}{4 \left(a d -b c \right)^{2} d \,i^{3}}-\frac{B \,b^{3} c g}{4 \left(a d -b c \right)^{2} d^{2} i^{3}}"," ",0,"1/4/d*g/(a*d-b*c)^2/i^3*B*b^2*a-1/4/d^2*g/(a*d-b*c)^2/i^3*B/(d*x+c)^2*b^3*c^3+1/2/d^2*g/(a*d-b*c)^2/i^3*B*b^3/(d*x+c)*c^2-1/2*d*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-1/2/d*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-3/4*g/(a*d-b*c)^2/i^3*B/(d*x+c)^2*a^2*b*c+1/2/d^2*g/(a*d-b*c)^2/i^3*A*b^3*c-1/2/d*g/(a*d-b*c)^2/i^3*A*b^2*a+1/2/d^2*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+3/2*g/(a*d-b*c)^2/i^3*A/(d*x+c)^2*a^2*b*c-1/4/d^2*g/(a*d-b*c)^2/i^3*B*b^3*c-1/d*g/(a*d-b*c)^2/i^3*B*b^2/(d*x+c)*a*c+1/2/d^2*g/(a*d-b*c)^2/i^3*A/(d*x+c)^2*b^3*c^3-1/d^2*g/(a*d-b*c)^2/i^3*A*b^3/(d*x+c)*c^2+3/2*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+1/2/d^2*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+2/d*g/(a*d-b*c)^2/i^3*A*b^2/(d*x+c)*a*c+3/4/d*g/(a*d-b*c)^2/i^3*B/(d*x+c)^2*a*b^2*c^2-3/2/d*g/(a*d-b*c)^2/i^3*A/(d*x+c)^2*a*b^2*c^2+2/d*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-g/(a*d-b*c)^2/i^3*A*b/(d*x+c)*a^2+1/2*g/(a*d-b*c)^2/i^3*B*b/(d*x+c)*a^2-1/2*d*g/(a*d-b*c)^2/i^3*A/(d*x+c)^2*a^3+1/4*d*g/(a*d-b*c)^2/i^3*B/(d*x+c)^2*a^3-1/d^2*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-3/2/d*g/(a*d-b*c)^2/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2","B"
50,1,746,137,0.049000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 B \,a^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 B a \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{B \,b^{3} c^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{A \,a^{3} d^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 A \,a^{2} b c d}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 A a \,b^{2} c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{A \,b^{3} c^{3}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}+\frac{B \,a^{3} d^{2}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 B \,a^{2} b c d}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 B a \,b^{2} c^{2}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{B \,b^{3} c^{3}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{B \,a^{2} b d}{2 \left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}+\frac{B a \,b^{2} c}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}+\frac{B a \,b^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} i^{3}}-\frac{B \,b^{3} c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right) d \,i^{3}}-\frac{B \,b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} d \,i^{3}}+\frac{A a \,b^{2}}{2 \left(a d -b c \right)^{3} i^{3}}-\frac{A \,b^{3} c}{2 \left(a d -b c \right)^{3} d \,i^{3}}-\frac{3 B a \,b^{2}}{4 \left(a d -b c \right)^{3} i^{3}}+\frac{3 B \,b^{3} c}{4 \left(a d -b c \right)^{3} d \,i^{3}}"," ",0,"3/4/(a*d-b*c)^3/i^3*B/(d*x+c)^2*b^2*c^2*a-1/2/d/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+1/2/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+1/2/d/(a*d-b*c)^3/i^3*A/(d*x+c)^2*b^3*c^3-1/2/d/(a*d-b*c)^3/i^3*B*b^3/(d*x+c)*c^2-1/2*d/(a*d-b*c)^3/i^3*B*b/(d*x+c)*a^2-1/4/d/(a*d-b*c)^3/i^3*B/(d*x+c)^2*b^3*c^3-1/2*d^2/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-3/2/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+3/2*d/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+1/4*d^2/(a*d-b*c)^3/i^3*B/(d*x+c)^2*a^3-1/2*d^2/(a*d-b*c)^3/i^3*A/(d*x+c)^2*a^3+1/2/(a*d-b*c)^3/i^3*A*b^2*a+1/(a*d-b*c)^3/i^3*B*b^2/(d*x+c)*c*a-1/2/d/(a*d-b*c)^3/i^3*A*b^3*c-3/4/(a*d-b*c)^3/i^3*B*b^2*a+3/4/d/(a*d-b*c)^3/i^3*B*b^3*c+3/2*d/(a*d-b*c)^3/i^3*A/(d*x+c)^2*a^2*b*c-3/2/(a*d-b*c)^3/i^3*A/(d*x+c)^2*a*b^2*c^2-3/4*d/(a*d-b*c)^3/i^3*B/(d*x+c)^2*a^2*b*c+1/2/d/(a*d-b*c)^3/i^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3","B"
51,1,1287,237,0.052000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{3 B \,a^{2} b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}-\frac{3 B a \,b^{2} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{B \,b^{3} c^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}-\frac{A \,a^{3} d^{3}}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{3 A \,a^{2} b c \,d^{2}}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}-\frac{3 A a \,b^{2} c^{2} d}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{A \,b^{3} c^{3}}{2 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{B \,a^{3} d^{3}}{4 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}-\frac{3 B \,a^{2} b c \,d^{2}}{4 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{B \,a^{2} b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}+\frac{3 B a \,b^{2} c^{2} d}{4 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}-\frac{2 B a \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}-\frac{B a \,b^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} g \,i^{3}}-\frac{B \,b^{3} c^{3}}{4 \left(a d -b c \right)^{4} \left(d x +c \right)^{2} g \,i^{3}}+\frac{B \,b^{3} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}+\frac{B \,b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} g \,i^{3}}+\frac{A \,a^{2} b \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}-\frac{2 A a \,b^{2} c d}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}-\frac{A a \,b^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g \,i^{3}}+\frac{A \,b^{3} c^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}+\frac{A \,b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g \,i^{3}}-\frac{3 B \,a^{2} b \,d^{2}}{2 \left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}+\frac{3 B a \,b^{2} c d}{\left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}+\frac{3 B a \,b^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} g \,i^{3}}-\frac{3 B \,b^{3} c^{2}}{2 \left(a d -b c \right)^{4} \left(d x +c \right) g \,i^{3}}-\frac{3 B \,b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} g \,i^{3}}+\frac{3 A a \,b^{2} d}{2 \left(a d -b c \right)^{4} g \,i^{3}}-\frac{3 A \,b^{3} c}{2 \left(a d -b c \right)^{4} g \,i^{3}}-\frac{7 B a \,b^{2} d}{4 \left(a d -b c \right)^{4} g \,i^{3}}+\frac{7 B \,b^{3} c}{4 \left(a d -b c \right)^{4} g \,i^{3}}"," ",0,"3/2*d^2/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3/2*d/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-2*d/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-3/2/i^3/(a*d-b*c)^4/g*B*b^3/(d*x+c)*c^2+1/i^3/(a*d-b*c)^4/g*A*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/2/i^3/(a*d-b*c)^4/g*A/(d*x+c)^2*b^3*c^3-1/2*d^3/i^3/(a*d-b*c)^4/g*A/(d*x+c)^2*a^3-3/2/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-1/4/i^3/(a*d-b*c)^4/g*B/(d*x+c)^2*b^3*c^3+1/i^3/(a*d-b*c)^4/g*A*b^3/(d*x+c)*c^2-7/4*d/i^3/(a*d-b*c)^4/g*B*b^2*a+7/4/i^3/(a*d-b*c)^4/g*B*b^3*c+3/2*d/i^3/(a*d-b*c)^4/g*A*b^2*a-3/2/i^3/(a*d-b*c)^4/g*A*b^3*c+1/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+1/2/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-d/i^3/(a*d-b*c)^4/g*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3/2*d/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+1/2/i^3/(a*d-b*c)^4/g*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+1/4*d^3/i^3/(a*d-b*c)^4/g*B/(d*x+c)^2*a^3-2*d/i^3/(a*d-b*c)^4/g*A*b^2/(d*x+c)*a*c-3/4*d^2/i^3/(a*d-b*c)^4/g*B/(d*x+c)^2*a^2*b*c+3/4*d/i^3/(a*d-b*c)^4/g*B/(d*x+c)^2*a*b^2*c^2+3/2*d^2/i^3/(a*d-b*c)^4/g*A/(d*x+c)^2*a^2*b*c-3/2*d/i^3/(a*d-b*c)^4/g*A/(d*x+c)^2*a*b^2*c^2+3*d/i^3/(a*d-b*c)^4/g*B*b^2/(d*x+c)*a*c+d^2/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-1/2*d/i^3/(a*d-b*c)^4/g*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2*d^3/i^3/(a*d-b*c)^4/g*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+d^2/i^3/(a*d-b*c)^4/g*A*b/(d*x+c)*a^2-3/2*d^2/i^3/(a*d-b*c)^4/g*B*b/(d*x+c)*a^2","B"
52,1,1729,359,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{3 B \,a^{2} b c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}-\frac{3 B a \,b^{2} c^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{B \,b^{3} c^{3} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}-\frac{A \,a^{3} d^{4}}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{3 A \,a^{2} b c \,d^{3}}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}-\frac{3 A a \,b^{2} c^{2} d^{2}}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{A \,b^{3} c^{3} d}{2 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{B \,a^{3} d^{4}}{4 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}-\frac{3 B \,a^{2} b c \,d^{3}}{4 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{2 B \,a^{2} b \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{B a \,b^{3} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}+\frac{3 B a \,b^{2} c^{2} d^{2}}{4 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}-\frac{4 B a \,b^{2} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{3 B a \,b^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{B \,b^{4} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}-\frac{B \,b^{3} c^{3} d}{4 \left(a d -b c \right)^{5} \left(d x +c \right)^{2} g^{2} i^{3}}+\frac{2 B \,b^{3} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}+\frac{3 B \,b^{3} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{2 A \,a^{2} b \,d^{3}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{A a \,b^{3} d e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}-\frac{4 A a \,b^{2} c \,d^{2}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{3 A a \,b^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{A \,b^{4} c e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}+\frac{2 A \,b^{3} c^{2} d}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}+\frac{3 A \,b^{3} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{5} g^{2} i^{3}}-\frac{5 B \,a^{2} b \,d^{3}}{2 \left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{B a \,b^{3} d e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}+\frac{5 B a \,b^{2} c \,d^{2}}{\left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}+\frac{5 B a \,b^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{B \,b^{4} c e}{\left(a d -b c \right)^{5} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{3}}-\frac{5 B \,b^{3} c^{2} d}{2 \left(a d -b c \right)^{5} \left(d x +c \right) g^{2} i^{3}}-\frac{5 B \,b^{3} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{5 A a \,b^{2} d^{2}}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}-\frac{5 A \,b^{3} c d}{2 \left(a d -b c \right)^{5} g^{2} i^{3}}-\frac{11 B a \,b^{2} d^{2}}{4 \left(a d -b c \right)^{5} g^{2} i^{3}}+\frac{11 B \,b^{3} c d}{4 \left(a d -b c \right)^{5} g^{2} i^{3}}"," ",0,"-1/2*d^4/i^3/(a*d-b*c)^5/g^2*A/(d*x+c)^2*a^3+1/4*d^4/i^3/(a*d-b*c)^5/g^2*B/(d*x+c)^2*a^3+e/i^3/(a*d-b*c)^5/g^2*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e/i^3/(a*d-b*c)^5/g^2*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+3/2*d^3/i^3/(a*d-b*c)^5/g^2*A/(d*x+c)^2*a^2*b*c-3/2*d^2/i^3/(a*d-b*c)^5/g^2*A/(d*x+c)^2*a*b^2*c^2-3/4*d^3/i^3/(a*d-b*c)^5/g^2*B/(d*x+c)^2*a^2*b*c+3/4*d^2/i^3/(a*d-b*c)^5/g^2*B/(d*x+c)^2*a*b^2*c^2-4*d^2/i^3/(a*d-b*c)^5/g^2*A*b^2/(d*x+c)*c*a+3/2*d^3/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3/2*d^2/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-4*d^2/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-d*e/i^3/(a*d-b*c)^5/g^2*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-5/2*d^3/i^3/(a*d-b*c)^5/g^2*B*b/(d*x+c)*a^2-1/2*d^4/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+e/i^3/(a*d-b*c)^5/g^2*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/4*d/i^3/(a*d-b*c)^5/g^2*B/(d*x+c)^2*b^3*c^3+2*d/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-d*e/i^3/(a*d-b*c)^5/g^2*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d^3/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+2*d/i^3/(a*d-b*c)^5/g^2*A*b^3/(d*x+c)*c^2+2*d^3/i^3/(a*d-b*c)^5/g^2*A*b/(d*x+c)*a^2+e/i^3/(a*d-b*c)^5/g^2*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+5/2*d^2/i^3/(a*d-b*c)^5/g^2*A*b^2*a-5/2*d/i^3/(a*d-b*c)^5/g^2*A*b^3*c-11/4*d^2/i^3/(a*d-b*c)^5/g^2*B*b^2*a+11/4*d/i^3/(a*d-b*c)^5/g^2*B*b^3*c+5*d^2/i^3/(a*d-b*c)^5/g^2*B*b^2/(d*x+c)*a*c+1/2*d/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+1/2*d/i^3/(a*d-b*c)^5/g^2*A/(d*x+c)^2*b^3*c^3-5/2*d/i^3/(a*d-b*c)^5/g^2*B*b^3/(d*x+c)*c^2+3*d/i^3/(a*d-b*c)^5/g^2*A*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3*d^2/i^3/(a*d-b*c)^5/g^2*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3/2*d^2/i^3/(a*d-b*c)^5/g^2*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+5/2*d^2/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-5/2*d/i^3/(a*d-b*c)^5/g^2*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+3/2*d/i^3/(a*d-b*c)^5/g^2*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c","B"
53,1,2182,455,0.051000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","-\frac{B \,a^{3} d^{5} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{3 B \,a^{2} b c \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{B a \,b^{4} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}-\frac{3 B a \,b^{2} c^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}-\frac{B \,b^{5} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}+\frac{B \,b^{3} c^{3} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}-\frac{A \,a^{3} d^{5}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{3 A \,a^{2} b c \,d^{4}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{A a \,b^{4} d \,e^{2}}{2 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}-\frac{3 A a \,b^{2} c^{2} d^{3}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}-\frac{A \,b^{5} c \,e^{2}}{2 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}+\frac{A \,b^{3} c^{3} d^{2}}{2 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{B \,a^{3} d^{5}}{4 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}-\frac{3 B \,a^{2} b c \,d^{4}}{4 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{3 B \,a^{2} b \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}+\frac{B a \,b^{4} d \,e^{2}}{4 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}-\frac{4 B a \,b^{3} d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}+\frac{3 B a \,b^{2} c^{2} d^{3}}{4 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}-\frac{6 B a \,b^{2} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}-\frac{3 B a \,b^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{6} g^{3} i^{3}}-\frac{B \,b^{5} c \,e^{2}}{4 \left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i^{3}}+\frac{4 B \,b^{4} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}-\frac{B \,b^{3} c^{3} d^{2}}{4 \left(a d -b c \right)^{6} \left(d x +c \right)^{2} g^{3} i^{3}}+\frac{3 B \,b^{3} c^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}+\frac{3 B \,b^{3} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{6} g^{3} i^{3}}+\frac{3 A \,a^{2} b \,d^{4}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}-\frac{4 A a \,b^{3} d^{2} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}-\frac{6 A a \,b^{2} c \,d^{3}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}-\frac{6 A a \,b^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{3} i^{3}}+\frac{4 A \,b^{4} c d e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}+\frac{3 A \,b^{3} c^{2} d^{2}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}+\frac{6 A \,b^{3} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{6} g^{3} i^{3}}-\frac{7 B \,a^{2} b \,d^{4}}{2 \left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}-\frac{4 B a \,b^{3} d^{2} e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}+\frac{7 B a \,b^{2} c \,d^{3}}{\left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}+\frac{7 B a \,b^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} g^{3} i^{3}}+\frac{4 B \,b^{4} c d e}{\left(a d -b c \right)^{6} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i^{3}}-\frac{7 B \,b^{3} c^{2} d^{2}}{2 \left(a d -b c \right)^{6} \left(d x +c \right) g^{3} i^{3}}-\frac{7 B \,b^{3} c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{6} g^{3} i^{3}}+\frac{7 A a \,b^{2} d^{3}}{2 \left(a d -b c \right)^{6} g^{3} i^{3}}-\frac{7 A \,b^{3} c \,d^{2}}{2 \left(a d -b c \right)^{6} g^{3} i^{3}}-\frac{15 B a \,b^{2} d^{3}}{4 \left(a d -b c \right)^{6} g^{3} i^{3}}+\frac{15 B \,b^{3} c \,d^{2}}{4 \left(a d -b c \right)^{6} g^{3} i^{3}}"," ",0,"-1/2*d^5/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-6*d^3/i^3/(a*d-b*c)^6/g^3*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+6*d^2/i^3/(a*d-b*c)^6/g^3*A*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-7/2*d^4/i^3/(a*d-b*c)^6/g^3*B*b/(d*x+c)*a^2+7*d^3/i^3/(a*d-b*c)^6/g^3*B*b^2/(d*x+c)*a*c-7/2*d^2/i^3/(a*d-b*c)^6/g^3*B*b^3/(d*x+c)*c^2-1/4*e^2/i^3/(a*d-b*c)^6/g^3*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-3/2*d^3/i^3/(a*d-b*c)^6/g^3*A/(d*x+c)^2*a*b^2*c^2+3/4*d^3/i^3/(a*d-b*c)^6/g^3*B/(d*x+c)^2*a*b^2*c^2-3*d^3/i^3/(a*d-b*c)^6/g^3*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-4*d^2*e/i^3/(a*d-b*c)^6/g^3*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-1/2*d^5/i^3/(a*d-b*c)^6/g^3*A/(d*x+c)^2*a^3+1/4*d^5/i^3/(a*d-b*c)^6/g^3*B/(d*x+c)^2*a^3-4*d^2*e/i^3/(a*d-b*c)^6/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-6*d^3/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+3/2*d^4/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3/2*d^3/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4*d^2*e/i^3/(a*d-b*c)^6/g^3*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+4*d*e/i^3/(a*d-b*c)^6/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-6*d^3/i^3/(a*d-b*c)^6/g^3*A*b^2/(d*x+c)*c*a+1/4*d*e^2/i^3/(a*d-b*c)^6/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+4*d*e/i^3/(a*d-b*c)^6/g^3*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3*d^4/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+7/2*d^3/i^3/(a*d-b*c)^6/g^3*A*b^2*a-7/2*d^2/i^3/(a*d-b*c)^6/g^3*A*b^3*c-15/4*d^3/i^3/(a*d-b*c)^6/g^3*B*b^2*a+15/4*d^2/i^3/(a*d-b*c)^6/g^3*B*b^3*c-1/2*e^2/i^3/(a*d-b*c)^6/g^3*A*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/4*d^2/i^3/(a*d-b*c)^6/g^3*B/(d*x+c)^2*b^3*c^3+3*d^2/i^3/(a*d-b*c)^6/g^3*A*b^3/(d*x+c)*c^2+1/2*d^2/i^3/(a*d-b*c)^6/g^3*A/(d*x+c)^2*b^3*c^3+3*d^4/i^3/(a*d-b*c)^6/g^3*A*b/(d*x+c)*a^2+3*d^2/i^3/(a*d-b*c)^6/g^3*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+7/2*d^3/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+3/2*d^4/i^3/(a*d-b*c)^6/g^3*A/(d*x+c)^2*a^2*b*c-3/4*d^4/i^3/(a*d-b*c)^6/g^3*B/(d*x+c)^2*a^2*b*c+1/2*d^2/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+4*d*e/i^3/(a*d-b*c)^6/g^3*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-7/2*d^2/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+3*d^2/i^3/(a*d-b*c)^6/g^3*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-1/2*e^2/i^3/(a*d-b*c)^6/g^3*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c","B"
54,1,2616,551,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","-\frac{B a \,b^{5} d \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}+\frac{B \,b^{6} c \,e^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}-\frac{A a \,b^{5} d \,e^{3}}{3 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}+\frac{A \,b^{6} c \,e^{3}}{3 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}-\frac{B \,a^{3} d^{6} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{3 B \,a^{2} b c \,d^{5} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}-\frac{B a \,b^{5} d \,e^{3}}{9 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}+\frac{5 B a \,b^{4} d^{2} e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}-\frac{3 B a \,b^{2} c^{2} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{B \,b^{6} c \,e^{3}}{9 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4} i^{3}}-\frac{5 B \,b^{5} c d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}+\frac{B \,b^{3} c^{3} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}-\frac{A \,a^{3} d^{6}}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{3 A \,a^{2} b c \,d^{5}}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{5 A a \,b^{4} d^{2} e^{2}}{2 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}-\frac{3 A a \,b^{2} c^{2} d^{4}}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}-\frac{5 A \,b^{5} c d \,e^{2}}{2 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}+\frac{A \,b^{3} c^{3} d^{3}}{2 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{B \,a^{3} d^{6}}{4 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}-\frac{3 B \,a^{2} b c \,d^{5}}{4 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{4 B \,a^{2} b \,d^{5} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}+\frac{5 B a \,b^{4} d^{2} e^{2}}{4 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}-\frac{10 B a \,b^{3} d^{3} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}+\frac{3 B a \,b^{2} c^{2} d^{4}}{4 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}-\frac{8 B a \,b^{2} c \,d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}-\frac{5 B a \,b^{2} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{7} g^{4} i^{3}}-\frac{5 B \,b^{5} c d \,e^{2}}{4 \left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4} i^{3}}+\frac{10 B \,b^{4} c \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}-\frac{B \,b^{3} c^{3} d^{3}}{4 \left(a d -b c \right)^{7} \left(d x +c \right)^{2} g^{4} i^{3}}+\frac{4 B \,b^{3} c^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}+\frac{5 B \,b^{3} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{7} g^{4} i^{3}}+\frac{4 A \,a^{2} b \,d^{5}}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}-\frac{10 A a \,b^{3} d^{3} e}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}-\frac{8 A a \,b^{2} c \,d^{4}}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}-\frac{10 A a \,b^{2} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} g^{4} i^{3}}+\frac{10 A \,b^{4} c \,d^{2} e}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}+\frac{4 A \,b^{3} c^{2} d^{3}}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}+\frac{10 A \,b^{3} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{7} g^{4} i^{3}}-\frac{9 B \,a^{2} b \,d^{5}}{2 \left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}-\frac{10 B a \,b^{3} d^{3} e}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}+\frac{9 B a \,b^{2} c \,d^{4}}{\left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}+\frac{9 B a \,b^{2} d^{4} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} g^{4} i^{3}}+\frac{10 B \,b^{4} c \,d^{2} e}{\left(a d -b c \right)^{7} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{4} i^{3}}-\frac{9 B \,b^{3} c^{2} d^{3}}{2 \left(a d -b c \right)^{7} \left(d x +c \right) g^{4} i^{3}}-\frac{9 B \,b^{3} c \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{7} g^{4} i^{3}}+\frac{9 A a \,b^{2} d^{4}}{2 \left(a d -b c \right)^{7} g^{4} i^{3}}-\frac{9 A \,b^{3} c \,d^{3}}{2 \left(a d -b c \right)^{7} g^{4} i^{3}}-\frac{19 B a \,b^{2} d^{4}}{4 \left(a d -b c \right)^{7} g^{4} i^{3}}+\frac{19 B \,b^{3} c \,d^{3}}{4 \left(a d -b c \right)^{7} g^{4} i^{3}}"," ",0,"10*d^2*e/i^3/(a*d-b*c)^7/g^4*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3/4*d^4/i^3/(a*d-b*c)^7/g^4*B/(d*x+c)^2*a*b^2*c^2-1/2*d^6/i^3/(a*d-b*c)^7/g^4*A/(d*x+c)^2*a^3+1/4*d^6/i^3/(a*d-b*c)^7/g^4*B/(d*x+c)^2*a^3+3/2*d^5/i^3/(a*d-b*c)^7/g^4*A/(d*x+c)^2*a^2*b*c-10*d^3*e/i^3/(a*d-b*c)^7/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-3/4*d^5/i^3/(a*d-b*c)^7/g^4*B/(d*x+c)^2*a^2*b*c+9*d^4/i^3/(a*d-b*c)^7/g^4*B*b^2/(d*x+c)*a*c-8*d^4/i^3/(a*d-b*c)^7/g^4*A*b^2/(d*x+c)*a*c-3/2*d^4/i^3/(a*d-b*c)^7/g^4*A/(d*x+c)^2*a*b^2*c^2+4*d^3/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+5/4*d^2*e^2/i^3/(a*d-b*c)^7/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+5/2*d^2*e^2/i^3/(a*d-b*c)^7/g^4*A*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-5/2*d*e^2/i^3/(a*d-b*c)^7/g^4*A*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-10*d^3*e/i^3/(a*d-b*c)^7/g^4*A*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+1/2*d^3/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+4*d^5/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-5/4*d*e^2/i^3/(a*d-b*c)^7/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+9/2*d^4/i^3/(a*d-b*c)^7/g^4*A*b^2*a-9/2*d^3/i^3/(a*d-b*c)^7/g^4*A*b^3*c-19/4*d^4/i^3/(a*d-b*c)^7/g^4*B*b^2*a+19/4*d^3/i^3/(a*d-b*c)^7/g^4*B*b^3*c-9/2*d^5/i^3/(a*d-b*c)^7/g^4*B*b/(d*x+c)*a^2+1/2*d^3/i^3/(a*d-b*c)^7/g^4*A/(d*x+c)^2*b^3*c^3-1/4*d^3/i^3/(a*d-b*c)^7/g^4*B/(d*x+c)^2*b^3*c^3+10*d^3/i^3/(a*d-b*c)^7/g^4*A*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2*d^6/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-5*d^4/i^3/(a*d-b*c)^7/g^4*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-10*d^4/i^3/(a*d-b*c)^7/g^4*A*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+9/2*d^4/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+5*d^3/i^3/(a*d-b*c)^7/g^4*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-9/2*d^3/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+4*d^5/i^3/(a*d-b*c)^7/g^4*A*b/(d*x+c)*a^2+4*d^3/i^3/(a*d-b*c)^7/g^4*A*b^3/(d*x+c)*c^2-9/2*d^3/i^3/(a*d-b*c)^7/g^4*B*b^3/(d*x+c)*c^2+1/3*e^3/i^3/(a*d-b*c)^7/g^4*A*b^6/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/9*e^3/i^3/(a*d-b*c)^7/g^4*B*b^6/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+10*d^2*e/i^3/(a*d-b*c)^7/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/3*d*e^3/i^3/(a*d-b*c)^7/g^4*A*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/9*d*e^3/i^3/(a*d-b*c)^7/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*d*e^3/i^3/(a*d-b*c)^7/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-5/2*d*e^2/i^3/(a*d-b*c)^7/g^4*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-10*d^3*e/i^3/(a*d-b*c)^7/g^4*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+5/2*d^2*e^2/i^3/(a*d-b*c)^7/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3/2*d^4/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-8*d^4/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*c*a+3/2*d^5/i^3/(a*d-b*c)^7/g^4*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+10*d^2*e/i^3/(a*d-b*c)^7/g^4*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/3*e^3/i^3/(a*d-b*c)^7/g^4*B*b^6/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c","B"
55,0,0,515,2.588000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
56,0,0,430,2.091000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
57,0,0,327,1.821000," ","int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
58,0,0,201,1.579000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
59,0,0,286,1.869000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","F"
60,0,0,241,1.695000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","F"
61,1,865,135,0.048000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","\frac{B^{2} a d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B^{2} b c \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A B a d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A B b c \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B^{2} a d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B^{2} b c \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A^{2} a d \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A^{2} b c \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{A B a d \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{A B b c \,e^{2} i}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}+\frac{B^{2} a d \,e^{2} i}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}-\frac{B^{2} b c \,e^{2} i}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3}}"," ",0,"1/2*d*e^2*i/(a*d-b*c)^2/g^3*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2*i/(a*d-b*c)^2/g^3*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c+d*e^2*i/(a*d-b*c)^2/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-e^2*i/(a*d-b*c)^2/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/2*d*e^2*i/(a*d-b*c)^2/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2*i/(a*d-b*c)^2/g^3*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c+1/2*d*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/2*d*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/4*d*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*e^2*i/(a*d-b*c)^2/g^3*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c","B"
62,1,1765,275,0.048000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4,x)","-\frac{B^{2} a b d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B^{2} b^{2} c \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B a b d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B \,b^{2} c \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 B^{2} a b d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B^{2} a \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 B^{2} b^{2} c \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} b c d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A^{2} a b d \,e^{3} i}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A^{2} b^{2} c \,e^{3} i}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B a b d \,e^{3} i}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A B a \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 A B \,b^{2} c \,e^{3} i}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A B b c d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{2 B^{2} a b d \,e^{3} i}{27 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{B^{2} a \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{2 B^{2} b^{2} c \,e^{3} i}{27 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} b c d \,e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A^{2} a \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A^{2} b c d \,e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{A B a \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{A B b c d \,e^{2} i}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}+\frac{B^{2} a \,d^{2} e^{2} i}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}-\frac{B^{2} b c d \,e^{2} i}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{4}}"," ",0,"1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-1/3*d*e^3*i/(a*d-b*c)^3/g^4*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/3*e^3*i/(a*d-b*c)^3/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+d^2*e^2*i/(a*d-b*c)^3/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d*e^2*i/(a*d-b*c)^3/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-2/3*d*e^3*i/(a*d-b*c)^3/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/3*e^3*i/(a*d-b*c)^3/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/9*d*e^3*i/(a*d-b*c)^3/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/9*e^3*i/(a*d-b*c)^3/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/2*d^2*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/4*d^2*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/4*d*e^2*i/(a*d-b*c)^3/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-1/3*d*e^3*i/(a*d-b*c)^3/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/3*e^3*i/(a*d-b*c)^3/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2/9*d*e^3*i/(a*d-b*c)^3/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/9*e^3*i/(a*d-b*c)^3/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/27*d*e^3*i/(a*d-b*c)^3/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/27*e^3*i/(a*d-b*c)^3/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c","B"
63,1,2689,427,0.051000," ","int((d*i*x+c*i)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^5,x)","\frac{B^{2} a \,b^{2} d \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} b^{3} c \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A B a \,b^{2} d \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A B \,b^{3} c \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B^{2} a \,b^{2} d \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{2 B^{2} a b \,d^{2} e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B^{2} b^{3} c \,e^{4} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{2 B^{2} b^{2} c d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A^{2} a \,b^{2} d \,e^{4} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A^{2} b^{3} c \,e^{4} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A B a \,b^{2} d \,e^{4} i}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{4 A B a b \,d^{2} e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A B \,b^{3} c \,e^{4} i}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{4 A B \,b^{2} c d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B^{2} a \,b^{2} d \,e^{4} i}{32 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{4 B^{2} a b \,d^{2} e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B^{2} a \,d^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{B^{2} b^{3} c \,e^{4} i}{32 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{4 B^{2} b^{2} c d \,e^{3} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B^{2} b c \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{2 A^{2} a b \,d^{2} e^{3} i}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{2 A^{2} b^{2} c d \,e^{3} i}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{4 A B a b \,d^{2} e^{3} i}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A B a \,d^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{4 A B \,b^{2} c d \,e^{3} i}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A B b c \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{4 B^{2} a b \,d^{2} e^{3} i}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B^{2} a \,d^{3} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{4 B^{2} b^{2} c d \,e^{3} i}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B^{2} b c \,d^{2} e^{2} i \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{A^{2} a \,d^{3} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{A^{2} b c \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{A B a \,d^{3} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{A B b c \,d^{2} e^{2} i}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}+\frac{B^{2} a \,d^{3} e^{2} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}-\frac{B^{2} b c \,d^{2} e^{2} i}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{5}}"," ",0,"-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/2*d*e^4*i/(a*d-b*c)^4/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^2*e^2*i/(a*d-b*c)^4/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-4/3*d^2*e^3*i/(a*d-b*c)^4/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/3*d^2*e^3*i/(a*d-b*c)^4/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2/3*d*e^3*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-4/9*d^2*e^3*i/(a*d-b*c)^4/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+4/9*d*e^3*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d^3*e^2*i/(a*d-b*c)^4/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/4*d^3*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/32*e^4*i/(a*d-b*c)^4/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c-1/4*e^4*i/(a*d-b*c)^4/g^5*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c-1/4*d^2*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c+4/27*d*e^3*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-4/27*d^2*e^3*i/(a*d-b*c)^4/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/32*d*e^4*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+4/9*d*e^3*i/(a*d-b*c)^4/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/8*d*e^4*i/(a*d-b*c)^4/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/2*e^4*i/(a*d-b*c)^4/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/4*d*e^4*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/8*d*e^4*i/(a*d-b*c)^4/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4/9*d^2*e^3*i/(a*d-b*c)^4/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/4*e^4*i/(a*d-b*c)^4/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/8*e^4*i/(a*d-b*c)^4/g^5*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/3*d^2*e^3*i/(a*d-b*c)^4/g^5*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+4/3*d*e^3*i/(a*d-b*c)^4/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/2*d^3*e^2*i/(a*d-b*c)^4/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*d^2*e^2*i/(a*d-b*c)^4/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*b*c+2/3*d*e^3*i/(a*d-b*c)^4/g^5*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/4*d*e^4*i/(a*d-b*c)^4/g^5*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/8*e^4*i/(a*d-b*c)^4/g^5*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c","B"
64,0,0,681,2.857000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
65,0,0,729,2.559000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
66,0,0,563,2.177000," ","int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
67,0,0,320,1.829000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
68,0,0,533,2.113000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","F"
69,0,0,442,2.138000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","F"
70,0,0,381,2.046000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","F"
71,1,890,141,0.050000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4,x)","\frac{B^{2} a d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{B^{2} b c \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B a d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B b c \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 B^{2} a d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 B^{2} b c \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{A^{2} a d \,e^{3} i^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{A^{2} b c \,e^{3} i^{2}}{3 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 A B a d \,e^{3} i^{2}}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 A B b c \,e^{3} i^{2}}{9 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}+\frac{2 B^{2} a d \,e^{3} i^{2}}{27 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}-\frac{2 B^{2} b c \,e^{3} i^{2}}{27 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{4}}"," ",0,"1/3*d*e^3*i^2/(a*d-b*c)^2/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*e^3*i^2/(a*d-b*c)^2/g^4*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c+2/3*d*e^3*i^2/(a*d-b*c)^2/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/3*e^3*i^2/(a*d-b*c)^2/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2/9*d*e^3*i^2/(a*d-b*c)^2/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/9*e^3*i^2/(a*d-b*c)^2/g^4*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c+1/3*d*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/3*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+2/9*d*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/9*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2/27*d*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/27*e^3*i^2/(a*d-b*c)^2/g^4*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c","B"
72,1,1814,287,0.048000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^5,x)","-\frac{B^{2} a b d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B^{2} b^{2} c \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A B a b d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A B \,b^{2} c \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} a b d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B^{2} a \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B^{2} b^{2} c \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} b c d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A^{2} a b d \,e^{4} i^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A^{2} b^{2} c \,e^{4} i^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A B a b d \,e^{4} i^{2}}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{2 A B a \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A B \,b^{2} c \,e^{4} i^{2}}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{2 A B b c d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{B^{2} a b d \,e^{4} i^{2}}{32 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{2 B^{2} a \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{B^{2} b^{2} c \,e^{4} i^{2}}{32 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{2 B^{2} b c d \,e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{A^{2} a \,d^{2} e^{3} i^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{A^{2} b c d \,e^{3} i^{2}}{3 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{2 A B a \,d^{2} e^{3} i^{2}}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{2 A B b c d \,e^{3} i^{2}}{9 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}+\frac{2 B^{2} a \,d^{2} e^{3} i^{2}}{27 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}-\frac{2 B^{2} b c d \,e^{3} i^{2}}{27 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{5}}"," ",0,"1/3*d^2*e^3*i^2/(a*d-b*c)^3/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-1/3*d*e^3*i^2/(a*d-b*c)^3/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/4*d*e^4*i^2/(a*d-b*c)^3/g^5*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/4*e^4*i^2/(a*d-b*c)^3/g^5*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+2/3*d^2*e^3*i^2/(a*d-b*c)^3/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/3*d*e^3*i^2/(a*d-b*c)^3/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2/9*d^2*e^3*i^2/(a*d-b*c)^3/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/9*d*e^3*i^2/(a*d-b*c)^3/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/2*d*e^4*i^2/(a*d-b*c)^3/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/2*e^4*i^2/(a*d-b*c)^3/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/8*d*e^4*i^2/(a*d-b*c)^3/g^5*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/8*e^4*i^2/(a*d-b*c)^3/g^5*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/3*d^2*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/3*d*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+2/9*d^2*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/9*d*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+2/27*d^2*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/27*d*e^3*i^2/(a*d-b*c)^3/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/4*d*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/4*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/8*d*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/8*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/32*d*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/32*e^4*i^2/(a*d-b*c)^3/g^5*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c","B"
73,1,2761,445,0.052000," ","int((d*i*x+c*i)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^6,x)","\frac{B^{2} a \,b^{2} d \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B^{2} b^{3} c \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{2 A B a \,b^{2} d \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{2 A B \,b^{3} c \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{2 B^{2} a \,b^{2} d \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B^{2} a b \,d^{2} e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{2 B^{2} b^{3} c \,e^{5} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B^{2} b^{2} c d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A^{2} a \,b^{2} d \,e^{5} i^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{A^{2} b^{3} c \,e^{5} i^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{2 A B a \,b^{2} d \,e^{5} i^{2}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{A B a b \,d^{2} e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{2 A B \,b^{3} c \,e^{5} i^{2}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{A B \,b^{2} c d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 B^{2} a \,b^{2} d \,e^{5} i^{2}}{125 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B^{2} a b \,d^{2} e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{B^{2} a \,d^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{2 B^{2} b^{3} c \,e^{5} i^{2}}{125 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B^{2} b^{2} c d \,e^{4} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B^{2} b c \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{A^{2} a b \,d^{2} e^{4} i^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A^{2} b^{2} c d \,e^{4} i^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A B a b \,d^{2} e^{4} i^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 A B a \,d^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{A B \,b^{2} c d \,e^{4} i^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{2 A B b c \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{B^{2} a b \,d^{2} e^{4} i^{2}}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 B^{2} a \,d^{3} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{B^{2} b^{2} c d \,e^{4} i^{2}}{16 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{2 B^{2} b c \,d^{2} e^{3} i^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{A^{2} a \,d^{3} e^{3} i^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{A^{2} b c \,d^{2} e^{3} i^{2}}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{2 A B a \,d^{3} e^{3} i^{2}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{2 A B b c \,d^{2} e^{3} i^{2}}{9 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}+\frac{2 B^{2} a \,d^{3} e^{3} i^{2}}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}-\frac{2 B^{2} b c \,d^{2} e^{3} i^{2}}{27 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{3} g^{6}}"," ",0,"-2/3*d^2*e^3*i^2/(a*d-b*c)^4/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d^2*e^4*i^2/(a*d-b*c)^4/g^6*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d*e^4*i^2/(a*d-b*c)^4/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2/5*d*e^5*i^2/(a*d-b*c)^4/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/3*d^3*e^3*i^2/(a*d-b*c)^4/g^6*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/27*d^3*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/125*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c-1/5*e^5*i^2/(a*d-b*c)^4/g^6*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c-1/3*d^2*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/3*d^3*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d*e^4*i^2/(a*d-b*c)^4/g^6*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+1/5*d*e^5*i^2/(a*d-b*c)^4/g^6*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/9*d^3*e^3*i^2/(a*d-b*c)^4/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-2/25*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2/25*d*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/3*d^3*e^3*i^2/(a*d-b*c)^4/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/9*d^2*e^3*i^2/(a*d-b*c)^4/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/4*d^2*e^4*i^2/(a*d-b*c)^4/g^6*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/2*d^2*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/4*d^2*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/4*d*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/5*d*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2/25*e^5*i^2/(a*d-b*c)^4/g^6*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c-2/27*d^2*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c+2/125*d*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a-1/16*d^2*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/16*d*e^4*i^2/(a*d-b*c)^4/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c-1/3*d^2*e^3*i^2/(a*d-b*c)^4/g^6*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*b*c-1/2*d^2*e^4*i^2/(a*d-b*c)^4/g^6*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+2/9*d^3*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/5*e^5*i^2/(a*d-b*c)^4/g^6*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+1/4*d*e^4*i^2/(a*d-b*c)^4/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*c+2/25*d*e^5*i^2/(a*d-b*c)^4/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a-2/5*e^5*i^2/(a*d-b*c)^4/g^6*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/9*d^2*e^3*i^2/(a*d-b*c)^4/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c","B"
74,0,0,1043,2.031000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
75,0,0,870,2.812000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
76,0,0,698,2.359000," ","int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
77,0,0,400,1.974000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","\int \left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2,x)","F"
78,0,0,696,2.321000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g),x)","F"
79,0,0,690,2.254000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2,x)","F"
80,0,0,598,2.288000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3,x)","F"
81,1,890,141,0.049000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^5,x)","\frac{B^{2} a d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} b c \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A B a d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A B b c \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B^{2} a d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} b c \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A^{2} a d \,e^{4} i^{3}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A^{2} b c \,e^{4} i^{3}}{4 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{A B a d \,e^{4} i^{3}}{8 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{A B b c \,e^{4} i^{3}}{8 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}+\frac{B^{2} a d \,e^{4} i^{3}}{32 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}-\frac{B^{2} b c \,e^{4} i^{3}}{32 \left(a d -b c \right)^{2} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{5}}"," ",0,"1/4*d*e^4*i^3/(a*d-b*c)^2/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*e^4*i^3/(a*d-b*c)^2/g^5*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c+1/2*d*e^4*i^3/(a*d-b*c)^2/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*e^4*i^3/(a*d-b*c)^2/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/8*d*e^4*i^3/(a*d-b*c)^2/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/8*e^4*i^3/(a*d-b*c)^2/g^5*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c+1/4*d*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/4*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/8*d*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/8*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/32*d*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/32*e^4*i^3/(a*d-b*c)^2/g^5*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c","B"
82,1,1814,287,0.049000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^6,x)","-\frac{B^{2} a b d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B^{2} b^{2} c \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{2 A B a b d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{2 A B \,b^{2} c \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{2 B^{2} a b d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B^{2} a \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 B^{2} b^{2} c \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B^{2} b c d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A^{2} a b d \,e^{5} i^{3}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{A^{2} b^{2} c \,e^{5} i^{3}}{5 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{2 A B a b d \,e^{5} i^{3}}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{A B a \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 A B \,b^{2} c \,e^{5} i^{3}}{25 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{A B b c d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{2 B^{2} a b d \,e^{5} i^{3}}{125 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}+\frac{B^{2} a \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{2 B^{2} b^{2} c \,e^{5} i^{3}}{125 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{6}}-\frac{B^{2} b c d \,e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A^{2} a \,d^{2} e^{4} i^{3}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A^{2} b c d \,e^{4} i^{3}}{4 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{A B a \,d^{2} e^{4} i^{3}}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{A B b c d \,e^{4} i^{3}}{8 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}+\frac{B^{2} a \,d^{2} e^{4} i^{3}}{32 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}-\frac{B^{2} b c d \,e^{4} i^{3}}{32 \left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{6}}"," ",0,"1/4*d^2*e^4*i^3/(a*d-b*c)^3/g^6*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/4*d*e^4*i^3/(a*d-b*c)^3/g^6*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-1/5*d*e^5*i^3/(a*d-b*c)^3/g^6*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+1/5*e^5*i^3/(a*d-b*c)^3/g^6*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/2*d^2*e^4*i^3/(a*d-b*c)^3/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^4*i^3/(a*d-b*c)^3/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/8*d^2*e^4*i^3/(a*d-b*c)^3/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/8*d*e^4*i^3/(a*d-b*c)^3/g^6*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-2/5*d*e^5*i^3/(a*d-b*c)^3/g^6*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/5*e^5*i^3/(a*d-b*c)^3/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/25*d*e^5*i^3/(a*d-b*c)^3/g^6*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/25*e^5*i^3/(a*d-b*c)^3/g^6*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/4*d^2*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/4*d*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/8*d^2*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/8*d*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+1/32*d^2*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/32*d*e^4*i^3/(a*d-b*c)^3/g^6*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-1/5*d*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/5*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2/25*d*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2/25*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/125*d*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/125*e^5*i^3/(a*d-b*c)^3/g^6*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c","B"
83,1,2762,445,0.055000," ","int((d*i*x+c*i)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^7,x)","\frac{B^{2} a \,b^{2} d \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{B^{2} b^{3} c \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{A B a \,b^{2} d \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{A B \,b^{3} c \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{3 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{B^{2} a \,b^{2} d \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{18 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{2 B^{2} a b \,d^{2} e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{B^{2} b^{3} c \,e^{6} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{18 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{2 B^{2} b^{2} c d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{A^{2} a \,b^{2} d \,e^{6} i^{3}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{A^{2} b^{3} c \,e^{6} i^{3}}{6 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{A B a \,b^{2} d \,e^{6} i^{3}}{18 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{4 A B a b \,d^{2} e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{A B \,b^{3} c \,e^{6} i^{3}}{18 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{4 A B \,b^{2} c d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{B^{2} a \,b^{2} d \,e^{6} i^{3}}{108 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}-\frac{4 B^{2} a b \,d^{2} e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{B^{2} a \,d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{B^{2} b^{3} c \,e^{6} i^{3}}{108 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{6} g^{7}}+\frac{4 B^{2} b^{2} c d \,e^{5} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{B^{2} b c \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{2 A^{2} a b \,d^{2} e^{5} i^{3}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{2 A^{2} b^{2} c d \,e^{5} i^{3}}{5 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{4 A B a b \,d^{2} e^{5} i^{3}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{A B a \,d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{4 A B \,b^{2} c d \,e^{5} i^{3}}{25 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{A B b c \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{4 B^{2} a b \,d^{2} e^{5} i^{3}}{125 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}+\frac{B^{2} a \,d^{3} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{4 B^{2} b^{2} c d \,e^{5} i^{3}}{125 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{5} g^{7}}-\frac{B^{2} b c \,d^{2} e^{4} i^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{A^{2} a \,d^{3} e^{4} i^{3}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{A^{2} b c \,d^{2} e^{4} i^{3}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{A B a \,d^{3} e^{4} i^{3}}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{A B b c \,d^{2} e^{4} i^{3}}{8 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}+\frac{B^{2} a \,d^{3} e^{4} i^{3}}{32 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}-\frac{B^{2} b c \,d^{2} e^{4} i^{3}}{32 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{4} g^{7}}"," ",0,"-4/5*d^2*e^5*i^3/(a*d-b*c)^4/g^7*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+4/5*d*e^5*i^3/(a*d-b*c)^4/g^7*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/3*d*e^6*i^3/(a*d-b*c)^4/g^7*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d^2*e^4*i^3/(a*d-b*c)^4/g^7*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-1/6*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-4/125*d^2*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+1/8*d^3*e^4*i^3/(a*d-b*c)^4/g^7*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/32*d^2*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-2/5*d^2*e^5*i^3/(a*d-b*c)^4/g^7*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a+2/5*d*e^5*i^3/(a*d-b*c)^4/g^7*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/6*d*e^6*i^3/(a*d-b*c)^4/g^7*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*a+1/4*d^3*e^4*i^3/(a*d-b*c)^4/g^7*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a+1/32*d^3*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*a-1/108*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*c-1/6*e^6*i^3/(a*d-b*c)^4/g^7*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*c-1/18*e^6*i^3/(a*d-b*c)^4/g^7*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*c+4/125*d*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c+1/108*d*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*a+1/4*d^3*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/8*d^3*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/4*d^2*e^4*i^3/(a*d-b*c)^4/g^7*A^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c-1/18*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/5*d^2*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d^3*e^4*i^3/(a*d-b*c)^4/g^7*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/18*d*e^6*i^3/(a*d-b*c)^4/g^7*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*a-1/3*e^6*i^3/(a*d-b*c)^4/g^7*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2/5*d*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-4/25*d^2*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/18*d*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4/25*d^2*e^5*i^3/(a*d-b*c)^4/g^7*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*a-1/8*d^2*e^4*i^3/(a*d-b*c)^4/g^7*A*B/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*b*c+4/25*d*e^5*i^3/(a*d-b*c)^4/g^7*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*c-1/4*d^2*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-1/8*d^2*e^4*i^3/(a*d-b*c)^4/g^7*B^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^4*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c+4/25*d*e^5*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^5*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/6*d*e^6*i^3/(a*d-b*c)^4/g^7*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^6*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a","B"
84,0,0,702,2.284000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","F"
85,0,0,534,1.955000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","F"
86,0,0,283,1.741000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","F"
87,1,888,127,0.056000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i),x)","-\frac{B^{2} a \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) i}+\frac{B^{2} b c \ln \left(-\frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}+1\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right) d i}-\frac{2 A B a \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) i}+\frac{2 A B b c \ln \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d i}-\frac{2 B^{2} a \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) i}+\frac{2 B^{2} b c \polylog \left(2, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right) \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right) d i}-\frac{A^{2} a \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) i}+\frac{A^{2} b c \ln \left(-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d \right)}{\left(a d -b c \right) d i}-\frac{2 A B a \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) i}+\frac{2 A B b c \dilog \left(-\frac{-b e +\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d i}+\frac{2 B^{2} a \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) i}-\frac{2 B^{2} b c \polylog \left(3, \frac{\left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right) d}{b e}\right)}{\left(a d -b c \right) d i}"," ",0,"-1/i/(a*d-b*c)*A^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*a+1/d/i/(a*d-b*c)*A^2*ln(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)*b*c-1/i/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e+1)*a+1/d/i/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*ln(-(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e+1)*b*c-2/i/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*a+2/d/i/(a*d-b*c)*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*polylog(2,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*b*c+2/i/(a*d-b*c)*B^2*polylog(3,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*a-2/d/i/(a*d-b*c)*B^2*polylog(3,(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/b*d/e)*b*c-2/i/(a*d-b*c)*A*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2/d/i/(a*d-b*c)*A*B*dilog(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c-2/i/(a*d-b*c)*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*a+2/d/i/(a*d-b*c)*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*ln(-(-b*e+(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*d)/b/e)*b*c","B"
88,1,312,42,0.052000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)/(d*i*x+c*i),x)","-\frac{B^{2} a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{2} g i}+\frac{B^{2} b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{2} g i}-\frac{A B a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} g i}+\frac{A B b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} g i}-\frac{A^{2} a d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} g i}+\frac{A^{2} b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} g i}"," ",0,"-d/i/(a*d-b*c)^2/g*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/i/(a*d-b*c)^2/g*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d/i/(a*d-b*c)^2/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/i/(a*d-b*c)^2/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-1/3*d/i/(a*d-b*c)^2/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+1/3/i/(a*d-b*c)^2/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*b*c","B"
89,1,1201,181,0.050000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i),x)","-\frac{B^{2} a b d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{B^{2} a \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{3} g^{2} i}+\frac{B^{2} b^{2} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{B^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{3} g^{2} i}-\frac{2 A B a b d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{A B a \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g^{2} i}+\frac{2 A B \,b^{2} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{A B b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g^{2} i}-\frac{2 B^{2} a b d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{2 B^{2} b^{2} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{A^{2} a b d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{A^{2} a \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g^{2} i}+\frac{A^{2} b^{2} c e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{A^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g^{2} i}-\frac{2 A B a b d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{2 A B \,b^{2} c e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}-\frac{2 B^{2} a b d e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}+\frac{2 B^{2} b^{2} c e}{\left(a d -b c \right)^{3} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i}"," ",0,"-d^2/i/(a*d-b*c)^3/g^2*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d/i/(a*d-b*c)^3/g^2*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d*e/i/(a*d-b*c)^3/g^2*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+e/i/(a*d-b*c)^3/g^2*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d^2/i/(a*d-b*c)^3/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+d/i/(a*d-b*c)^3/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c-2*d*e/i/(a*d-b*c)^3/g^2*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*e/i/(a*d-b*c)^3/g^2*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2*d*e/i/(a*d-b*c)^3/g^2*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*e/i/(a*d-b*c)^3/g^2*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/3*d^2/i/(a*d-b*c)^3/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+1/3*d/i/(a*d-b*c)^3/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*b*c-d*e/i/(a*d-b*c)^3/g^2*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+e/i/(a*d-b*c)^3/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2*d*e/i/(a*d-b*c)^3/g^2*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*e/i/(a*d-b*c)^3/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2*d*e/i/(a*d-b*c)^3/g^2*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*e/i/(a*d-b*c)^3/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c","B"
90,1,2144,335,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i),x)","\frac{B^{2} a \,b^{2} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{B^{2} b^{3} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{A B a \,b^{2} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{A B \,b^{3} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{B^{2} a \,b^{2} d \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{2 B^{2} a b \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{B^{2} a \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{4} g^{3} i}-\frac{B^{2} b^{3} c \,e^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{2 B^{2} b^{2} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{B^{2} b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{4} g^{3} i}+\frac{A^{2} a \,b^{2} d \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{A^{2} b^{3} c \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{A B a \,b^{2} d \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{4 A B a b \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{A B a \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{3} i}-\frac{A B \,b^{3} c \,e^{2}}{2 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{4 A B \,b^{2} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{A B b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{3} i}+\frac{B^{2} a \,b^{2} d \,e^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}-\frac{4 B^{2} a b \,d^{2} e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{B^{2} b^{3} c \,e^{2}}{4 \left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right)^{2} g^{3} i}+\frac{4 B^{2} b^{2} c d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{2 A^{2} a b \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{A^{2} a \,d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{3} i}+\frac{2 A^{2} b^{2} c d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{A^{2} b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{3} i}-\frac{4 A B a b \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{4 A B \,b^{2} c d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}-\frac{4 B^{2} a b \,d^{2} e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}+\frac{4 B^{2} b^{2} c d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{3} i}"," ",0,"4*d*e/i/(a*d-b*c)^4/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d*e^2/i/(a*d-b*c)^4/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4*d^2*e/i/(a*d-b*c)^4/g^3*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d*e/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+4*d*e/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-4*d^2*e/i/(a*d-b*c)^4/g^3*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+4*d*e/i/(a*d-b*c)^4/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-4*d^2*e/i/(a*d-b*c)^4/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^2/i/(a*d-b*c)^4/g^3*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d^3/i/(a*d-b*c)^4/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/3*d^2/i/(a*d-b*c)^4/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*b*c-1/2*e^2/i/(a*d-b*c)^4/g^3*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/4*e^2/i/(a*d-b*c)^4/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/3*d^3/i/(a*d-b*c)^4/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a-d^3/i/(a*d-b*c)^4/g^3*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+d^2/i/(a*d-b*c)^4/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/2*d*e^2/i/(a*d-b*c)^4/g^3*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2/i/(a*d-b*c)^4/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-e^2/i/(a*d-b*c)^4/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/2*d*e^2/i/(a*d-b*c)^4/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*d*e^2/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d*e^2/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d^2*e/i/(a*d-b*c)^4/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-4*d^2*e/i/(a*d-b*c)^4/g^3*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-1/2*e^2/i/(a*d-b*c)^4/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2*d*e/i/(a*d-b*c)^4/g^3*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+1/4*d*e^2/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2/i/(a*d-b*c)^4/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+4*d*e/i/(a*d-b*c)^4/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-2*d^2*e/i/(a*d-b*c)^4/g^3*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a","B"
91,1,3093,493,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i),x)","\text{output too large to display}"," ",0,"1/3*d^3/i/(a*d-b*c)^5/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*b*c+d^3/i/(a*d-b*c)^5/g^4*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*c-d^4/i/(a*d-b*c)^5/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-d^4/i/(a*d-b*c)^5/g^4*A^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/3*d^4/i/(a*d-b*c)^5/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+2/27*e^3/i/(a*d-b*c)^5/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+1/3*e^3/i/(a*d-b*c)^5/g^4*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-3*d*e^2/i/(a*d-b*c)^5/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/3*d*e^3/i/(a*d-b*c)^5/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3*d^2*e^2/i/(a*d-b*c)^5/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-6*d^3*e/i/(a*d-b*c)^5/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+6*d^2*e/i/(a*d-b*c)^5/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/3*d*e^3/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2/3*e^3/i/(a*d-b*c)^5/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/9*d*e^3/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2/9*d*e^3/i/(a*d-b*c)^5/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+3*d^2*e/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-6*d^3*e/i/(a*d-b*c)^5/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+6*d^2*e/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3/4*d*e^2/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-2/27*d*e^3/i/(a*d-b*c)^5/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/9*e^3/i/(a*d-b*c)^5/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3/2*d*e^2/i/(a*d-b*c)^5/g^4*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/3*d*e^3/i/(a*d-b*c)^5/g^4*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2/9*e^3/i/(a*d-b*c)^5/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d^3/i/(a*d-b*c)^5/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*c+1/3*e^3/i/(a*d-b*c)^5/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-6*d^3*e/i/(a*d-b*c)^5/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+6*d^2*e/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-3*d^3*e/i/(a*d-b*c)^5/g^4*A^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+3*d^2*e/i/(a*d-b*c)^5/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3/4*d^2*e^2/i/(a*d-b*c)^5/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-3*d^3*e/i/(a*d-b*c)^5/g^4*B^2*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+3/2*d^2*e^2/i/(a*d-b*c)^5/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-6*d^3*e/i/(a*d-b*c)^5/g^4*A*B*b/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+6*d^2*e/i/(a*d-b*c)^5/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c","B"
92,0,0,720,2.181000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","F"
93,0,0,469,1.969000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","F"
94,0,0,261,1.609000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","F"
95,1,1236,152,0.051000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^2,x)","-\frac{B^{2} a^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{2 B^{2} a b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{B^{2} b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}-\frac{2 A B \,a^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{4 A B a b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{2 A B \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{2 B^{2} a^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{4 B^{2} a b c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{B^{2} a b \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} i^{2}}+\frac{2 B^{2} b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{B^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} d \,i^{2}}-\frac{A^{2} a^{2} d}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{2 A^{2} a b c}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{A^{2} b^{2} c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{2 A B \,a^{2} d}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{4 A B a b c}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}-\frac{2 A B a b \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} i^{2}}+\frac{2 A B \,b^{2} c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}+\frac{2 A B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} d \,i^{2}}-\frac{2 B^{2} a^{2} d}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{4 B^{2} a b c}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{2}}+\frac{2 B^{2} a b \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} i^{2}}-\frac{2 B^{2} b^{2} c^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{2}}-\frac{2 B^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} d \,i^{2}}-\frac{A^{2} a b}{\left(a d -b c \right)^{2} i^{2}}+\frac{A^{2} b^{2} c}{\left(a d -b c \right)^{2} d \,i^{2}}+\frac{2 A B a b}{\left(a d -b c \right)^{2} i^{2}}-\frac{2 A B \,b^{2} c}{\left(a d -b c \right)^{2} d \,i^{2}}-\frac{2 B^{2} a b}{\left(a d -b c \right)^{2} i^{2}}+\frac{2 B^{2} b^{2} c}{\left(a d -b c \right)^{2} d \,i^{2}}"," ",0,"-2*d/(a*d-b*c)^2/i^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a*b*c-4/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c-2/d/(a*d-b*c)^2/i^2*A*B*b^2*c+2/(a*d-b*c)^2/i^2*A*B*b*a-d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a^2-2/d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+2/(a*d-b*c)^2/i^2*A^2/(d*x+c)*a*b*c+4/(a*d-b*c)^2/i^2*B^2/(d*x+c)*a*b*c+2*d/(a*d-b*c)^2/i^2*A*B/(d*x+c)*a^2-1/d/(a*d-b*c)^2/i^2*A^2/(d*x+c)*b^2*c^2-2/d/(a*d-b*c)^2/i^2*B^2/(d*x+c)*b^2*c^2+2*d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-2/(a*d-b*c)^2/i^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+1/d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*c+1/d/(a*d-b*c)^2/i^2*A^2*b^2*c-d/(a*d-b*c)^2/i^2*A^2/(d*x+c)*a^2-2*d/(a*d-b*c)^2/i^2*B^2/(d*x+c)*a^2-1/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*a+2/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-2/(a*d-b*c)^2/i^2*B^2*b*a+2/d/(a*d-b*c)^2/i^2*B^2*b^2*c-1/(a*d-b*c)^2/i^2*A^2*b*a-4/(a*d-b*c)^2/i^2*A*B/(d*x+c)*a*b*c+2/d/(a*d-b*c)^2/i^2*A*B/(d*x+c)*b^2*c^2+2/d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2/d/(a*d-b*c)^2/i^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-1/d/(a*d-b*c)^2/i^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b^2*c^2-2/d/(a*d-b*c)^2/i^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+4/(a*d-b*c)^2/i^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c","B"
96,1,1633,212,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","-\frac{B^{2} a^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 B^{2} a b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{B^{2} a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{3} g \,i^{2}}-\frac{B^{2} b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{B^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 A B \,a^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{4 A B a b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{A B a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 A B \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{A B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 B^{2} a^{2} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{4 B^{2} a b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{B^{2} a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 B^{2} b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{B^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{A^{2} a^{2} d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 A^{2} a b c d}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{A^{2} a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{A^{2} b^{2} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{A^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 A B \,a^{2} d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{4 A B a b c d}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{2 A B a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 A B \,b^{2} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 A B \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 B^{2} a^{2} d^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{4 B^{2} a b c d}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}+\frac{2 B^{2} a b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 B^{2} b^{2} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) g \,i^{2}}-\frac{2 B^{2} b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{A^{2} a b d}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{A^{2} b^{2} c}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 A B a b d}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 A B \,b^{2} c}{\left(a d -b c \right)^{3} g \,i^{2}}-\frac{2 B^{2} a b d}{\left(a d -b c \right)^{3} g \,i^{2}}+\frac{2 B^{2} b^{2} c}{\left(a d -b c \right)^{3} g \,i^{2}}"," ",0,"-1/i^2/(a*d-b*c)^3/g*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-1/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b^2*c^2+2/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2/i^2/(a*d-b*c)^3/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+d/i^2/(a*d-b*c)^3/g*A^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d^2/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+1/3*d/i^2/(a*d-b*c)^3/g*B^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a-d^2/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a^2+2*d/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-d/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*a+2/i^2/(a*d-b*c)^3/g*A*B/(d*x+c)*b^2*c^2+2*d^2/i^2/(a*d-b*c)^3/g*A*B/(d*x+c)*a^2-2*d/i^2/(a*d-b*c)^3/g*B^2*b*a+2/i^2/(a*d-b*c)^3/g*B^2*b^2*c+2*d/i^2/(a*d-b*c)^3/g*A*B*b*a-2/i^2/(a*d-b*c)^3/g*A*B*b^2*c-1/i^2/(a*d-b*c)^3/g*A^2/(d*x+c)*b^2*c^2-1/3/i^2/(a*d-b*c)^3/g*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c-1/i^2/(a*d-b*c)^3/g*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*c-2/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-d^2/i^2/(a*d-b*c)^3/g*A^2/(d*x+c)*a^2-2/i^2/(a*d-b*c)^3/g*B^2/(d*x+c)*b^2*c^2-2*d^2/i^2/(a*d-b*c)^3/g*B^2/(d*x+c)*a^2-d/i^2/(a*d-b*c)^3/g*A^2*b*a+1/i^2/(a*d-b*c)^3/g*A^2*b^2*c+4*d/i^2/(a*d-b*c)^3/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+2*d/i^2/(a*d-b*c)^3/g*A^2/(d*x+c)*a*b*c-2*d/i^2/(a*d-b*c)^3/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-2*d^2/i^2/(a*d-b*c)^3/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2*d/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a*b*c-4*d/i^2/(a*d-b*c)^3/g*A*B/(d*x+c)*a*b*c-4*d/i^2/(a*d-b*c)^3/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+d/i^2/(a*d-b*c)^3/g*A*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+4*d/i^2/(a*d-b*c)^3/g*B^2/(d*x+c)*a*b*c-2/i^2/(a*d-b*c)^3/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2","B"
97,1,2572,363,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","-\frac{B^{2} a^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B^{2} a \,b^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 B^{2} a b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 B^{2} a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{B^{2} b^{3} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{B^{2} b^{2} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 B^{2} b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{3}}{3 \left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 A B \,a^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A B a \,b^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{4 A B a b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A B a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 A B \,b^{3} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{2 A B \,b^{2} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 A B \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{2 B^{2} a^{2} d^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 B^{2} a \,b^{2} d e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{4 B^{2} a b c \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{B^{2} a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 B^{2} b^{3} c e \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 B^{2} b^{2} c^{2} d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{B^{2} b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A^{2} a^{2} d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{A^{2} a \,b^{2} d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 A^{2} a b c \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A^{2} a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A^{2} b^{3} c e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{A^{2} b^{2} c^{2} d}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 A^{2} b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{2 A B \,a^{2} d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A B a \,b^{2} d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{4 A B a b c \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 A B a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 A B \,b^{3} c e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{2 A B \,b^{2} c^{2} d}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 A B \,b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 B^{2} a^{2} d^{3}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 B^{2} a \,b^{2} d e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}+\frac{4 B^{2} a b c \,d^{2}}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}+\frac{2 B^{2} a b \,d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 B^{2} b^{3} c e}{\left(a d -b c \right)^{4} \left(\frac{a e}{d x +c}-\frac{b c e}{\left(d x +c \right) d}+\frac{b e}{d}\right) g^{2} i^{2}}-\frac{2 B^{2} b^{2} c^{2} d}{\left(a d -b c \right)^{4} \left(d x +c \right) g^{2} i^{2}}-\frac{2 B^{2} b^{2} c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{A^{2} a b \,d^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{A^{2} b^{2} c d}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{2 A B a b \,d^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 A B \,b^{2} c d}{\left(a d -b c \right)^{4} g^{2} i^{2}}-\frac{2 B^{2} a b \,d^{2}}{\left(a d -b c \right)^{4} g^{2} i^{2}}+\frac{2 B^{2} b^{2} c d}{\left(a d -b c \right)^{4} g^{2} i^{2}}"," ",0,"4*d^2/i^2/(a*d-b*c)^4/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b*c*a+2*d*e/i^2/(a*d-b*c)^4/g^2*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d^3/i^2/(a*d-b*c)^4/g^2*A*B/(d*x+c)*a^2-2*e/i^2/(a*d-b*c)^4/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-e/i^2/(a*d-b*c)^4/g^2*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-d/i^2/(a*d-b*c)^4/g^2*A^2/(d*x+c)*b^2*c^2-2*d/i^2/(a*d-b*c)^4/g^2*B^2/(d*x+c)*b^2*c^2-2*d/i^2/(a*d-b*c)^4/g^2*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d^3/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2/3*d^2/i^2/(a*d-b*c)^4/g^2*B^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a-2/3*d/i^2/(a*d-b*c)^4/g^2*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c+2*d^2/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-2*d/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-d^2/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*a+d/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*c+2*d^2/i^2/(a*d-b*c)^4/g^2*A^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^3/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a^2-d^2/i^2/(a*d-b*c)^4/g^2*A^2*b*a+d/i^2/(a*d-b*c)^4/g^2*A^2*b^2*c-2*d^2/i^2/(a*d-b*c)^4/g^2*B^2*b*a+2*d/i^2/(a*d-b*c)^4/g^2*B^2*b^2*c-d^3/i^2/(a*d-b*c)^4/g^2*A^2/(d*x+c)*a^2-2*d^3/i^2/(a*d-b*c)^4/g^2*B^2/(d*x+c)*a^2+d*e/i^2/(a*d-b*c)^4/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2*d/i^2/(a*d-b*c)^4/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2-4*d^2/i^2/(a*d-b*c)^4/g^2*A*B/(d*x+c)*a*b*c-4*d^2/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+2*d^2/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a*b*c-2*e/i^2/(a*d-b*c)^4/g^2*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d*e/i^2/(a*d-b*c)^4/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d/i^2/(a*d-b*c)^4/g^2*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+d*e/i^2/(a*d-b*c)^4/g^2*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2*d*e/i^2/(a*d-b*c)^4/g^2*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-2*e/i^2/(a*d-b*c)^4/g^2*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+2*d^2/i^2/(a*d-b*c)^4/g^2*A^2/(d*x+c)*a*b*c+4*d^2/i^2/(a*d-b*c)^4/g^2*B^2/(d*x+c)*a*b*c-2*d^2/i^2/(a*d-b*c)^4/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a+2*d/i^2/(a*d-b*c)^4/g^2*A*B/(d*x+c)*b^2*c^2+2*d^2/i^2/(a*d-b*c)^4/g^2*A*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-e/i^2/(a*d-b*c)^4/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2*e/i^2/(a*d-b*c)^4/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d/i^2/(a*d-b*c)^4/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-2*d^3/i^2/(a*d-b*c)^4/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-d/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b^2*c^2+2*d/i^2/(a*d-b*c)^4/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2*d^2/i^2/(a*d-b*c)^4/g^2*A*B*b*a-2*d/i^2/(a*d-b*c)^4/g^2*A*B*b^2*c+2*d*e/i^2/(a*d-b*c)^4/g^2*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a","B"
98,1,3538,517,0.053000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","\text{output too large to display}"," ",0,"2*d^3/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a*b*c-4*d^3/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a*b*c+4*d^3/i^2/(a*d-b*c)^5/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b*c*a+6*d^2*e/i^2/(a*d-b*c)^5/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d^3/i^2/(a*d-b*c)^5/g^3*A^2*b*a+d^2/i^2/(a*d-b*c)^5/g^3*A^2*b^2*c-2*d^3/i^2/(a*d-b*c)^5/g^3*B^2*b*a+2*d^2/i^2/(a*d-b*c)^5/g^3*B^2*b^2*c+d^3/i^2/(a*d-b*c)^5/g^3*B^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a-d^2/i^2/(a*d-b*c)^5/g^3*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c-d^3/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*a+d^2/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*c+3*d^3/i^2/(a*d-b*c)^5/g^3*A^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-3*d^2/i^2/(a*d-b*c)^5/g^3*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^4/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a^2+2*d^4/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-d^4/i^2/(a*d-b*c)^5/g^3*A^2/(d*x+c)*a^2-2*d^4/i^2/(a*d-b*c)^5/g^3*B^2/(d*x+c)*a^2+1/4*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-2*d^2/i^2/(a*d-b*c)^5/g^3*B^2/(d*x+c)*b^2*c^2+2*d^4/i^2/(a*d-b*c)^5/g^3*A*B/(d*x+c)*a^2-2*d^2/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+1/2*e^2/i^2/(a*d-b*c)^5/g^3*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-d^2/i^2/(a*d-b*c)^5/g^3*A^2/(d*x+c)*b^2*c^2+2*d^3/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-4*d^3/i^2/(a*d-b*c)^5/g^3*A*B/(d*x+c)*b*c*a-2*d^2/i^2/(a*d-b*c)^5/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+3*d^2*e/i^2/(a*d-b*c)^5/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-3*d*e/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+6*d^2*e/i^2/(a*d-b*c)^5/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-6*d*e/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-6*d*e/i^2/(a*d-b*c)^5/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+6*d^2*e/i^2/(a*d-b*c)^5/g^3*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-6*d*e/i^2/(a*d-b*c)^5/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d*e^2/i^2/(a*d-b*c)^5/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+e^2/i^2/(a*d-b*c)^5/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*d^3/i^2/(a*d-b*c)^5/g^3*A*B*b*a-2*d^2/i^2/(a*d-b*c)^5/g^3*A*B*b^2*c+2*d^2/i^2/(a*d-b*c)^5/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+3*d^3/i^2/(a*d-b*c)^5/g^3*A*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2*d^3/i^2/(a*d-b*c)^5/g^3*A^2/(d*x+c)*a*b*c+2*d^2/i^2/(a*d-b*c)^5/g^3*A*B/(d*x+c)*b^2*c^2+4*d^3/i^2/(a*d-b*c)^5/g^3*B^2/(d*x+c)*a*b*c+1/2*e^2/i^2/(a*d-b*c)^5/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+2*d^2/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+1/2*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3*d^2/i^2/(a*d-b*c)^5/g^3*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2*d^3/i^2/(a*d-b*c)^5/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-6*d*e/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3*d^2*e/i^2/(a*d-b*c)^5/g^3*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-3*d*e/i^2/(a*d-b*c)^5/g^3*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-1/2*d*e^2/i^2/(a*d-b*c)^5/g^3*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+6*d^2*e/i^2/(a*d-b*c)^5/g^3*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-1/4*d*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*e^2/i^2/(a*d-b*c)^5/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-2*d^4/i^2/(a*d-b*c)^5/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-d^2/i^2/(a*d-b*c)^5/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b^2*c^2","B"
99,1,4487,674,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","\text{output too large to display}"," ",0,"-2*d^5/i^2/(a*d-b*c)^6/g^4*B^2/(d*x+c)*a^2-d^5/i^2/(a*d-b*c)^6/g^4*A^2/(d*x+c)*a^2+2*d^3/i^2/(a*d-b*c)^6/g^4*B^2*b^2*c-2*d^4/i^2/(a*d-b*c)^6/g^4*B^2*b*a+d^3/i^2/(a*d-b*c)^6/g^4*A^2*b^2*c-d^4/i^2/(a*d-b*c)^6/g^4*A^2*b*a-12*d^2*e/i^2/(a*d-b*c)^6/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2/3*d*e^3/i^2/(a*d-b*c)^6/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+4*d^4/i^2/(a*d-b*c)^6/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b*c*a-4*d^2*e^2/i^2/(a*d-b*c)^6/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+12*d^3*e/i^2/(a*d-b*c)^6/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4*d^4/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b*c*a-2*d^3/i^2/(a*d-b*c)^6/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2*d^4/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b*c*a+2*d*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+6*d^3*e/i^2/(a*d-b*c)^6/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-6*d^2*e/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+12*d^3*e/i^2/(a*d-b*c)^6/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-12*d^2*e/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-2/3*e^3/i^2/(a*d-b*c)^6/g^4*A*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+1/3*d*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2/9*d*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+4*d*e^2/i^2/(a*d-b*c)^6/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+4/3*d^4/i^2/(a*d-b*c)^6/g^4*B^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+2*d^5/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2-4/3*d^3/i^2/(a*d-b*c)^6/g^4*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c+d^3/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*c-1/3*e^3/i^2/(a*d-b*c)^6/g^4*A^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c-2*d^3/i^2/(a*d-b*c)^6/g^4*B^2/(d*x+c)*b^2*c^2+2*d^5/i^2/(a*d-b*c)^6/g^4*A*B/(d*x+c)*a^2-d^3/i^2/(a*d-b*c)^6/g^4*A^2/(d*x+c)*b^2*c^2-2*d^3/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c-4*d^3/i^2/(a*d-b*c)^6/g^4*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-d^4/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b*a+4*d^4/i^2/(a*d-b*c)^6/g^4*A^2*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+2*d^4/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-d^5/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*a^2-2/27*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c+2*d^4/i^2/(a*d-b*c)^6/g^4*A*B*b*a-2*d^3/i^2/(a*d-b*c)^6/g^4*A*B*b^2*c-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-2*d^4/i^2/(a*d-b*c)^6/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b*a-1/3*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-d^2*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-4*d^3/i^2/(a*d-b*c)^6/g^4*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-d^3/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)*b^2*c^2+2*d^3/i^2/(a*d-b*c)^6/g^4*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*b^2*c^2+2*d^4/i^2/(a*d-b*c)^6/g^4*A^2/(d*x+c)*a*b*c+2/9*d*e^3/i^2/(a*d-b*c)^6/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a-4*d^4/i^2/(a*d-b*c)^6/g^4*A*B/(d*x+c)*b*c*a-2*d^2*e^2/i^2/(a*d-b*c)^6/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+2*d*e^2/i^2/(a*d-b*c)^6/g^4*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+12*d^3*e/i^2/(a*d-b*c)^6/g^4*A*B*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-12*d^2*e/i^2/(a*d-b*c)^6/g^4*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+2*d^3/i^2/(a*d-b*c)^6/g^4*A*B/(d*x+c)*b^2*c^2-2/9*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+d*e^2/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+12*d^3*e/i^2/(a*d-b*c)^6/g^4*B^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+2/27*d*e^3/i^2/(a*d-b*c)^6/g^4*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+6*d^3*e/i^2/(a*d-b*c)^6/g^4*A^2*b^2/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-6*d^2*e/i^2/(a*d-b*c)^6/g^4*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-12*d^2*e/i^2/(a*d-b*c)^6/g^4*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+4*d^4/i^2/(a*d-b*c)^6/g^4*A*B*b*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-2*d^5/i^2/(a*d-b*c)^6/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)*a^2+2*d^3/i^2/(a*d-b*c)^6/g^4*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*c+1/3*d*e^3/i^2/(a*d-b*c)^6/g^4*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*a+2*d*e^2/i^2/(a*d-b*c)^6/g^4*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+4*d^4/i^2/(a*d-b*c)^6/g^4*B^2/(d*x+c)*a*b*c-2/9*e^3/i^2/(a*d-b*c)^6/g^4*A*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^3*c","B"
100,0,0,629,2.153000," ","int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","F"
101,0,0,404,1.878000," ","int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(\frac{\left(b x +a \right) e}{d x +c}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","F"
102,1,2449,135,0.051000," ","int((b*g*x+a*g)*(B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","-\frac{B^{2} a^{3} d g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 B^{2} a^{2} b c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 B^{2} a \,b^{2} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{B^{2} b^{3} c^{3} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{A B \,a^{3} d g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 A B \,a^{2} b c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 A B a \,b^{2} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{A B \,b^{3} c^{3} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{B^{2} a^{3} d g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 B^{2} a^{2} b c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{B^{2} a^{2} b g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{3 B^{2} a \,b^{2} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{2 B^{2} a \,b^{2} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{B^{2} b^{3} c^{3} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{B^{2} b^{3} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}-\frac{A^{2} a^{3} d g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 A^{2} a^{2} b c g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 A^{2} a \,b^{2} c^{2} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{A^{2} b^{3} c^{3} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{A B \,a^{3} d g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{3 A B \,a^{2} b c g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}-\frac{2 A B \,a^{2} b g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{3 A B a \,b^{2} c^{2} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}+\frac{4 A B a \,b^{2} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{A B \,b^{3} c^{3} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}-\frac{2 A B \,b^{3} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}-\frac{B^{2} a^{3} d g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{3 B^{2} a^{2} b c g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} i^{3}}+\frac{B^{2} a^{2} b g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}-\frac{3 B^{2} a \,b^{2} c^{2} g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d \,i^{3}}-\frac{2 B^{2} a \,b^{2} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{B^{2} a \,b^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} d \,i^{3}}+\frac{B^{2} b^{3} c^{3} g}{4 \left(a d -b c \right)^{2} \left(d x +c \right)^{2} d^{2} i^{3}}+\frac{B^{2} b^{3} c^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}+\frac{B^{2} b^{3} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}-\frac{A^{2} a^{2} b g}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{2 A^{2} a \,b^{2} c g}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{A^{2} b^{3} c^{2} g}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}+\frac{A B \,a^{2} b g}{\left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}-\frac{2 A B a \,b^{2} c g}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}-\frac{A B a \,b^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} d \,i^{3}}+\frac{A B \,b^{3} c^{2} g}{\left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}+\frac{A B \,b^{3} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{2} d^{2} i^{3}}-\frac{B^{2} a^{2} b g}{2 \left(a d -b c \right)^{2} \left(d x +c \right) i^{3}}+\frac{B^{2} a \,b^{2} c g}{\left(a d -b c \right)^{2} \left(d x +c \right) d \,i^{3}}+\frac{B^{2} a \,b^{2} g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} d \,i^{3}}-\frac{B^{2} b^{3} c^{2} g}{2 \left(a d -b c \right)^{2} \left(d x +c \right) d^{2} i^{3}}-\frac{B^{2} b^{3} c g \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}-\frac{A^{2} a \,b^{2} g}{2 \left(a d -b c \right)^{2} d \,i^{3}}+\frac{A^{2} b^{3} c g}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}+\frac{A B a \,b^{2} g}{2 \left(a d -b c \right)^{2} d \,i^{3}}-\frac{A B \,b^{3} c g}{2 \left(a d -b c \right)^{2} d^{2} i^{3}}-\frac{B^{2} a \,b^{2} g}{4 \left(a d -b c \right)^{2} d \,i^{3}}+\frac{B^{2} b^{3} c g}{4 \left(a d -b c \right)^{2} d^{2} i^{3}}"," ",0,"-1/4/d*g/(a*d-b*c)^2/i^3*B^2*b^2*a-1/2/d*g/(a*d-b*c)^2/i^3*A^2*b^2*a+1/2/d^2*g/(a*d-b*c)^2/i^3*A^2*b^3*c+1/2/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3*c+1/2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-1/2/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-1/2*d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^3-1/4*d*g/(a*d-b*c)^2/i^3*B^2/(d*x+c)^2*a^3-1/2*d*g/(a*d-b*c)^2/i^3*A^2/(d*x+c)^2*a^3+1/4/d^2*g/(a*d-b*c)^2/i^3*B^2*b^3*c+g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b/(d*x+c)*a^2+1/4/d^2*g/(a*d-b*c)^2/i^3*B^2/(d*x+c)^2*b^3*c^3+1/2*d*g/(a*d-b*c)^2/i^3*A*B/(d*x+c)^2*a^3-3/2/d*g/(a*d-b*c)^2/i^3*A^2/(d*x+c)^2*a*b^2*c^2+2/d*g/(a*d-b*c)^2/i^3*A^2*b^2/(d*x+c)*c*a+1/d*g/(a*d-b*c)^2/i^3*B^2*b^2/(d*x+c)*c*a-3/4/d*g/(a*d-b*c)^2/i^3*B^2/(d*x+c)^2*b^2*c^2*a-3/2*g/(a*d-b*c)^2/i^3*A*B/(d*x+c)^2*a^2*b*c-1/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3/(d*x+c)*c^2-d*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+1/2/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^3*c^3+1/d^2*g/(a*d-b*c)^2/i^3*A*B*b^3/(d*x+c)*c^2-1/2/d^2*g/(a*d-b*c)^2/i^3*A*B*b^3*c-1/d^2*g/(a*d-b*c)^2/i^3*A^2*b^3/(d*x+c)*c^2-g/(a*d-b*c)^2/i^3*A^2*b/(d*x+c)*a^2-1/2*g/(a*d-b*c)^2/i^3*B^2*b/(d*x+c)*a^2-1/2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*a-1/2/d^2*g/(a*d-b*c)^2/i^3*B^2*b^3/(d*x+c)*c^2+3/4*g/(a*d-b*c)^2/i^3*B^2/(d*x+c)^2*a^2*b*c+3/2*g/(a*d-b*c)^2/i^3*A^2/(d*x+c)^2*a^2*b*c+1/2/d^2*g/(a*d-b*c)^2/i^3*A^2/(d*x+c)^2*b^3*c^3+g/(a*d-b*c)^2/i^3*A*B*b/(d*x+c)*a^2+1/2*d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+1/2/d*g/(a*d-b*c)^2/i^3*A*B*b^2*a+4/d*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*c*a-3/d*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+1/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-2*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+3/2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^2*b*c-3/2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+1/d^2*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-1/2/d^2*g/(a*d-b*c)^2/i^3*A*B/(d*x+c)^2*b^3*c^3-1/2/d^2*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-1/d*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2/(d*x+c)*c*a-2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+1/d^2*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-2/d*g/(a*d-b*c)^2/i^3*A*B*b^2/(d*x+c)*c*a+3/2/d*g/(a*d-b*c)^2/i^3*A*B/(d*x+c)^2*a*b^2*c^2+3/2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+3*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3/2/d*g/(a*d-b*c)^2/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a*b^2*c^2-2/d^2*g/(a*d-b*c)^2/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2","B"
103,1,1917,290,0.052000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(d*i*x+c*i)^3,x)","-\frac{B^{2} a^{3} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 B^{2} a^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 B^{2} a \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{B^{2} b^{3} c^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{A B \,a^{3} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 A B \,a^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 A B a \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{A B \,b^{3} c^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}+\frac{B^{2} a^{3} d^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 B^{2} a^{2} b c d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 B^{2} a \,b^{2} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{B^{2} b^{3} c^{3} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{A^{2} a^{3} d^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 A^{2} a^{2} b c d}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 A^{2} a \,b^{2} c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{A^{2} b^{3} c^{3}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}+\frac{A B \,a^{3} d^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{3 A B \,a^{2} b c d}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 A B a \,b^{2} c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{A B \,b^{3} c^{3}}{2 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{B^{2} a^{3} d^{2}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{3 B^{2} a^{2} b c d}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}-\frac{B^{2} a^{2} b d \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}-\frac{3 B^{2} a \,b^{2} c^{2}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} i^{3}}+\frac{2 B^{2} a \,b^{2} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}+\frac{B^{2} a \,b^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} i^{3}}+\frac{B^{2} b^{3} c^{3}}{4 \left(a d -b c \right)^{3} \left(d x +c \right)^{2} d \,i^{3}}-\frac{B^{2} b^{3} c^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} \left(d x +c \right) d \,i^{3}}-\frac{B^{2} b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)^{2}}{2 \left(a d -b c \right)^{3} d \,i^{3}}-\frac{A B \,a^{2} b d}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}+\frac{2 A B a \,b^{2} c}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}+\frac{A B a \,b^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} i^{3}}-\frac{A B \,b^{3} c^{2}}{\left(a d -b c \right)^{3} \left(d x +c \right) d \,i^{3}}-\frac{A B \,b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{\left(a d -b c \right)^{3} d \,i^{3}}+\frac{3 B^{2} a^{2} b d}{2 \left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}-\frac{3 B^{2} a \,b^{2} c}{\left(a d -b c \right)^{3} \left(d x +c \right) i^{3}}-\frac{3 B^{2} a \,b^{2} \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} i^{3}}+\frac{3 B^{2} b^{3} c^{2}}{2 \left(a d -b c \right)^{3} \left(d x +c \right) d \,i^{3}}+\frac{3 B^{2} b^{3} c \ln \left(\frac{b e}{d}+\frac{\left(a d -b c \right) e}{\left(d x +c \right) d}\right)}{2 \left(a d -b c \right)^{3} d \,i^{3}}+\frac{A^{2} a \,b^{2}}{2 \left(a d -b c \right)^{3} i^{3}}-\frac{A^{2} b^{3} c}{2 \left(a d -b c \right)^{3} d \,i^{3}}-\frac{3 A B a \,b^{2}}{2 \left(a d -b c \right)^{3} i^{3}}+\frac{3 A B \,b^{3} c}{2 \left(a d -b c \right)^{3} d \,i^{3}}+\frac{7 B^{2} a \,b^{2}}{4 \left(a d -b c \right)^{3} i^{3}}-\frac{7 B^{2} b^{3} c}{4 \left(a d -b c \right)^{3} d \,i^{3}}"," ",0,"-3/2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-1/4*d^2/(a*d-b*c)^3/i^3*B^2/(d*x+c)^2*a^3-1/2*d^2/(a*d-b*c)^3/i^3*A^2/(d*x+c)^2*a^3+1/2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*a+3/2/(a*d-b*c)^3/i^3*A*B/(d*x+c)^2*b^2*c^2*a-d^2/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+3/2/d/(a*d-b*c)^3/i^3*A*B*b^3*c-3/2/(a*d-b*c)^3/i^3*A*B*b^2*a-3/4/(a*d-b*c)^3/i^3*B^2/(d*x+c)^2*b^2*c^2*a-3/2/(a*d-b*c)^3/i^3*A^2/(d*x+c)^2*b^2*c^2*a+1/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-1/d/(a*d-b*c)^3/i^3*A*B*b^3/(d*x+c)*c^2+1/2/d/(a*d-b*c)^3/i^3*A^2/(d*x+c)^2*b^3*c^3+1/4/d/(a*d-b*c)^3/i^3*B^2/(d*x+c)^2*b^3*c^3+3/2/d/(a*d-b*c)^3/i^3*B^2*b^3/(d*x+c)*c^2-1/2*d^2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^3+1/2*d^2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+3/2/d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-1/2/d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3*c+1/2/(a*d-b*c)^3/i^3*A^2*b^2*a-1/2/d/(a*d-b*c)^3/i^3*A^2*b^3*c+7/4/(a*d-b*c)^3/i^3*B^2*b^2*a-1/d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-1/d/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-3/2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^2*c^2*a+3/2*d/(a*d-b*c)^3/i^3*A^2/(d*x+c)^2*a^2*b*c-d/(a*d-b*c)^3/i^3*A*B*b/(d*x+c)*a^2-3/(a*d-b*c)^3/i^3*B^2*b^2/(d*x+c)*a*c+1/2*d^2/(a*d-b*c)^3/i^3*A*B/(d*x+c)^2*a^3+3/2*d/(a*d-b*c)^3/i^3*B^2*b/(d*x+c)*a^2-7/4/d/(a*d-b*c)^3/i^3*B^2*b^3*c+3/4*d/(a*d-b*c)^3/i^3*B^2/(d*x+c)^2*a^2*b*c+2/(a*d-b*c)^3/i^3*A*B*b^2/(d*x+c)*a*c-1/2/d/(a*d-b*c)^3/i^3*A*B/(d*x+c)^2*b^3*c^3-1/2/d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+3/2/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^2*c^2*a+1/2/d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^3*c^3-3/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+3/2*d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^2*b*c-3/2*d/(a*d-b*c)^3/i^3*A*B/(d*x+c)^2*a^2*b*c+1/d/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-3/2*d/(a*d-b*c)^3/i^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+3*d/(a*d-b*c)^3/i^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c","B"
104,1,2842,367,0.054000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","\text{output too large to display}"," ",0,"-2*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2/(d*x+c)*a*c+1/i^3/(a*d-b*c)^4/g*A^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+7/2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+1/3/i^3/(a*d-b*c)^4/g*B^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c-3/2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3*c-1/4*d^3/i^3/(a*d-b*c)^4/g*B^2/(d*x+c)^2*a^3-1/2*d^3/i^3/(a*d-b*c)^4/g*A^2/(d*x+c)^2*a^3+7/2/i^3/(a*d-b*c)^4/g*B^2*b^3/(d*x+c)*c^2-3/2/i^3/(a*d-b*c)^4/g*A^2*b^3*c+1/4/i^3/(a*d-b*c)^4/g*B^2/(d*x+c)^2*b^3*c^3+1/i^3/(a*d-b*c)^4/g*A^2*b^3/(d*x+c)*c^2+1/2/i^3/(a*d-b*c)^4/g*A^2/(d*x+c)^2*b^3*c^3-3/i^3/(a*d-b*c)^4/g*A*B*b^3/(d*x+c)*c^2-1/2/i^3/(a*d-b*c)^4/g*A*B/(d*x+c)^2*b^3*c^3-3/2*d^2/i^3/(a*d-b*c)^4/g*A*B/(d*x+c)^2*a^2*b*c+3/2*d/i^3/(a*d-b*c)^4/g*A*B/(d*x+c)^2*a*b^2*c^2-3/2*d^2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+15/4*d/i^3/(a*d-b*c)^4/g*B^2*b^2*a-15/4/i^3/(a*d-b*c)^4/g*B^2*b^3*c+3/2*d/i^3/(a*d-b*c)^4/g*A^2*b^2*a+1/2*d^3/i^3/(a*d-b*c)^4/g*A*B/(d*x+c)^2*a^3+d^2/i^3/(a*d-b*c)^4/g*A^2*b/(d*x+c)*a^2-1/3*d/i^3/(a*d-b*c)^4/g*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+7/2*d^2/i^3/(a*d-b*c)^4/g*B^2*b/(d*x+c)*a^2+1/2*d^3/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-7/2*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-1/2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+1/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3/(d*x+c)*c^2+1/2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^3*c^3+3/2*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*a-1/2*d^3/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^3-d/i^3/(a*d-b*c)^4/g*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+1/i^3/(a*d-b*c)^4/g*A*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-3/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-3/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+3*d^2/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3*d/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-4*d/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+3/2*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+1/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+d^2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b/(d*x+c)*a^2+6*d/i^3/(a*d-b*c)^4/g*A*B*b^2/(d*x+c)*a*c-7/2*d/i^3/(a*d-b*c)^4/g*A*B*b^2*a+7/2/i^3/(a*d-b*c)^4/g*A*B*b^3*c-3*d^2/i^3/(a*d-b*c)^4/g*A*B*b/(d*x+c)*a^2+3/2*d^2/i^3/(a*d-b*c)^4/g*A^2/(d*x+c)^2*a^2*b*c-3*d^2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-2*d/i^3/(a*d-b*c)^4/g*A^2*b^2/(d*x+c)*a*c-7*d/i^3/(a*d-b*c)^4/g*B^2*b^2/(d*x+c)*a*c-3/4*d/i^3/(a*d-b*c)^4/g*B^2/(d*x+c)^2*a*b^2*c^2+3/4*d^2/i^3/(a*d-b*c)^4/g*B^2/(d*x+c)^2*a^2*b*c-3/2*d/i^3/(a*d-b*c)^4/g*A^2/(d*x+c)^2*b^2*c^2*a-d^3/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+3*d/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+6*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-d/i^3/(a*d-b*c)^4/g*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+3/2*d^2/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^2*b*c-3/2*d/i^3/(a*d-b*c)^4/g*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a*b^2*c^2+2*d^2/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+2/i^3/(a*d-b*c)^4/g*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2","B"
105,1,3802,519,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","\text{output too large to display}"," ",0,"-1/4*d^4/i^3/(a*d-b*c)^5/g^2*B^2/(d*x+c)^2*a^3-1/2*d^4/i^3/(a*d-b*c)^5/g^2*A^2/(d*x+c)^2*a^3+2*e/i^3/(a*d-b*c)^5/g^2*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3*d^3/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c-3*d^2/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-8*d^2/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-2*d*e/i^3/(a*d-b*c)^5/g^2*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+3/2*d^3/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^2*b*c-3/2*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a*b^2*c^2-3/2*d^3/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+4*d^3/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+d/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3+4*d/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-2*d*e/i^3/(a*d-b*c)^5/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-d*e/i^3/(a*d-b*c)^5/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+2*e/i^3/(a*d-b*c)^5/g^2*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-23/4*d/i^3/(a*d-b*c)^5/g^2*B^2*b^3*c+23/4*d^2/i^3/(a*d-b*c)^5/g^2*B^2*b^2*a+2*d^3/i^3/(a*d-b*c)^5/g^2*A^2*b/(d*x+c)*a^2+3*d/i^3/(a*d-b*c)^5/g^2*A*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+5*d^2/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-5*d/i^3/(a*d-b*c)^5/g^2*A*B*b^3/(d*x+c)*c^2+3/2*d^2/i^3/(a*d-b*c)^5/g^2*A*B/(d*x+c)^2*a*b^2*c^2-3/2*d^3/i^3/(a*d-b*c)^5/g^2*A*B/(d*x+c)^2*a^2*b*c+10*d^2/i^3/(a*d-b*c)^5/g^2*A*B*b^2/(d*x+c)*a*c-2*d*e/i^3/(a*d-b*c)^5/g^2*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+10*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+3/2*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-4*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2/(d*x+c)*c*a-1/2*d/i^3/(a*d-b*c)^5/g^2*A*B/(d*x+c)^2*b^3*c^3-5*d^3/i^3/(a*d-b*c)^5/g^2*A*B*b/(d*x+c)*a^2+e/i^3/(a*d-b*c)^5/g^2*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c+2*e/i^3/(a*d-b*c)^5/g^2*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3*d^2/i^3/(a*d-b*c)^5/g^2*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+11/2*d^3/i^3/(a*d-b*c)^5/g^2*B^2*b/(d*x+c)*a^2+11/2*d/i^3/(a*d-b*c)^5/g^2*B^2*b^3/(d*x+c)*c^2+1/4*d/i^3/(a*d-b*c)^5/g^2*B^2/(d*x+c)^2*b^3*c^3+1/2*d^4/i^3/(a*d-b*c)^5/g^2*A*B/(d*x+c)^2*a^3+11/2*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-5/2*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3*c+5/2*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*a-1/2*d^4/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^3+1/2*d^4/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3-11/2*d^2/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-d^2/i^3/(a*d-b*c)^5/g^2*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+e/i^3/(a*d-b*c)^5/g^2*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+2*d/i^3/(a*d-b*c)^5/g^2*A^2*b^3/(d*x+c)*c^2+1/2*d/i^3/(a*d-b*c)^5/g^2*A^2/(d*x+c)^2*b^3*c^3-5/2*d/i^3/(a*d-b*c)^5/g^2*A^2*b^3*c+5/2*d^2/i^3/(a*d-b*c)^5/g^2*A^2*b^2*a+d/i^3/(a*d-b*c)^5/g^2*B^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c+3*d/i^3/(a*d-b*c)^5/g^2*A^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+2*e/i^3/(a*d-b*c)^5/g^2*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-3*d^2/i^3/(a*d-b*c)^5/g^2*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-1/2*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-11/2*d^2/i^3/(a*d-b*c)^5/g^2*A*B*b^2*a+11/2*d/i^3/(a*d-b*c)^5/g^2*A*B*b^3*c-d*e/i^3/(a*d-b*c)^5/g^2*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-5*d/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-2*d*e/i^3/(a*d-b*c)^5/g^2*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-3/4*d^2/i^3/(a*d-b*c)^5/g^2*B^2/(d*x+c)^2*a*b^2*c^2+2*d^3/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b/(d*x+c)*a^2-d^4/i^3/(a*d-b*c)^5/g^2*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+2*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3/(d*x+c)*c^2+1/2*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^3*c^3-5*d^3/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-5*d/i^3/(a*d-b*c)^5/g^2*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-11*d^2/i^3/(a*d-b*c)^5/g^2*B^2*b^2/(d*x+c)*a*c-3/2*d^2/i^3/(a*d-b*c)^5/g^2*A^2/(d*x+c)^2*a*b^2*c^2+3/4*d^3/i^3/(a*d-b*c)^5/g^2*B^2/(d*x+c)^2*a^2*b*c-4*d^2/i^3/(a*d-b*c)^5/g^2*A^2*b^2/(d*x+c)*a*c+3/2*d^3/i^3/(a*d-b*c)^5/g^2*A^2/(d*x+c)^2*a^2*b*c","B"
106,1,4782,673,0.055000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","\text{output too large to display}"," ",0,"-3/2*d^4/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+3/2*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a-4*d^2*e/i^3/(a*d-b*c)^6/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a+4*d*e/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-8*d^2*e/i^3/(a*d-b*c)^6/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+8*d*e/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-3/2*d^4/i^3/(a*d-b*c)^6/g^3*A*B/(d*x+c)^2*a^2*b*c+3*d^4/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b/(d*x+c)*a^2-1/2*d^5/i^3/(a*d-b*c)^6/g^3*A^2/(d*x+c)^2*a^3-1/4*d^5/i^3/(a*d-b*c)^6/g^3*B^2/(d*x+c)^2*a^3-3*d^3/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a*b^2*c^2-12*d^3/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c-8*d^2*e/i^3/(a*d-b*c)^6/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+8*d*e/i^3/(a*d-b*c)^6/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+3*d^4/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^2*b*c+d*e^2/i^3/(a*d-b*c)^6/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+15/2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*b^3/(d*x+c)*c^2-7/2*d^2/i^3/(a*d-b*c)^6/g^3*A^2*b^3*c+7/2*d^3/i^3/(a*d-b*c)^6/g^3*A^2*b^2*a+31/4*d^3/i^3/(a*d-b*c)^6/g^3*B^2*b^2*a-31/4*d^2/i^3/(a*d-b*c)^6/g^3*B^2*b^3*c+15/2*d^4/i^3/(a*d-b*c)^6/g^3*B^2*b/(d*x+c)*a^2-6*d^3/i^3/(a*d-b*c)^6/g^3*A^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*a+6*d^2/i^3/(a*d-b*c)^6/g^3*A^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+7/2*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2*a-15/2*d^3/i^3/(a*d-b*c)^6/g^3*A*B*b^2*a+15/2*d^2/i^3/(a*d-b*c)^6/g^3*A*B*b^3*c-7/2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3*c-15/2*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a+15/2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c-2*d^3/i^3/(a*d-b*c)^6/g^3*B^2*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*a+2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^3*c-1/2*d^5/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^3+1/2*d^5/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+3*d^2/i^3/(a*d-b*c)^6/g^3*A^2*b^3/(d*x+c)*c^2+1/2*d^2/i^3/(a*d-b*c)^6/g^3*A^2/(d*x+c)^2*b^3*c^3-1/4*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/2*e^2/i^3/(a*d-b*c)^6/g^3*A^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c+3/2*d^4/i^3/(a*d-b*c)^6/g^3*A^2/(d*x+c)^2*a^2*b*c+3/2*d^3/i^3/(a*d-b*c)^6/g^3*A*B/(d*x+c)^2*a*b^2*c^2+14*d^3/i^3/(a*d-b*c)^6/g^3*A*B*b^2/(d*x+c)*a*c+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+8*d*e/i^3/(a*d-b*c)^6/g^3*A*B*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-8*d^2*e/i^3/(a*d-b*c)^6/g^3*A*B*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a-6*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^2/(d*x+c)*c*a+6*d^4/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2+6*d^2/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2+3/2*d^4/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a^2*b*c+14*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2/(d*x+c)*a*c+d^2/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-3/2*d^3/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*a*b^2*c^2-e^2/i^3/(a*d-b*c)^6/g^3*A*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c+3*d^4/i^3/(a*d-b*c)^6/g^3*A^2*b/(d*x+c)*a^2+1/2*d^5/i^3/(a*d-b*c)^6/g^3*A*B/(d*x+c)^2*a^3+1/4*d^2/i^3/(a*d-b*c)^6/g^3*B^2/(d*x+c)^2*b^3*c^3+1/4*d*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a+1/2*d*e^2/i^3/(a*d-b*c)^6/g^3*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*a-1/2*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*c-6*d^3/i^3/(a*d-b*c)^6/g^3*A*B*b^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*a-d^5/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*a^3+3*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*b^3/(d*x+c)*c^2+1/2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2/(d*x+c)^2*b^3*c^3+7*d^3/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^2*a-7*d^2/i^3/(a*d-b*c)^6/g^3*A*B*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3*c+6*d^2/i^3/(a*d-b*c)^6/g^3*A*B*b^3*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-8*d^2*e/i^3/(a*d-b*c)^6/g^3*B^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+8*d*e/i^3/(a*d-b*c)^6/g^3*B^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c-4*d^2*e/i^3/(a*d-b*c)^6/g^3*A^2*b^3/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*a+4*d*e/i^3/(a*d-b*c)^6/g^3*A^2*b^4/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)*c+3/4*d^4/i^3/(a*d-b*c)^6/g^3*B^2/(d*x+c)^2*a^2*b*c-3/4*d^3/i^3/(a*d-b*c)^6/g^3*B^2/(d*x+c)^2*a*b^2*c^2-6*d^3/i^3/(a*d-b*c)^6/g^3*A^2*b^2/(d*x+c)*a*c-7*d^2/i^3/(a*d-b*c)^6/g^3*A*B*b^3/(d*x+c)*c^2-1/2*e^2/i^3/(a*d-b*c)^6/g^3*A*B*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*c-1/2*d^2/i^3/(a*d-b*c)^6/g^3*A*B/(d*x+c)^2*b^3*c^3-7*d^4/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b/(d*x+c)*a^2-7*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)*b^3/(d*x+c)*c^2-1/2*d^2/i^3/(a*d-b*c)^6/g^3*B^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)/(d*x+c)^2*b^3*c^3-7*d^4/i^3/(a*d-b*c)^6/g^3*A*B*b/(d*x+c)*a^2-1/2*e^2/i^3/(a*d-b*c)^6/g^3*B^2*b^5/(1/(d*x+c)*a*e-1/(d*x+c)*b*c/d*e+b/d*e)^2*ln(b/d*e+(a*d-b*c)/(d*x+c)/d*e)^2*c-3/2*d^3/i^3/(a*d-b*c)^6/g^3*A^2/(d*x+c)^2*a*b^2*c^2-15*d^3/i^3/(a*d-b*c)^6/g^3*B^2*b^2/(d*x+c)*a*c","B"
107,1,5731,831,0.056000," ","int((B*ln((b*x+a)/(d*x+c)*e)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","\text{output too large to display}"," ",0,"result too large to display","B"
108,0,0,211,0.347000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
109,0,0,180,0.296000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
110,0,0,141,0.128000," ","int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right) \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
111,0,0,80,0.181000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
112,0,0,140,0.411000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","F"
113,0,0,150,0.311000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","F"
114,0,0,85,0.313000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","F"
115,0,0,173,0.310000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","F"
116,0,0,269,0.308000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","F"
117,0,0,420,0.433000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
118,0,0,334,0.435000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
119,0,0,236,0.301000," ","int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
120,0,0,116,0.289000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
121,0,0,281,0.467000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","F"
122,0,0,259,0.455000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","F"
123,0,0,238,0.452000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","F"
124,0,0,89,0.449000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","F"
125,0,0,181,0.461000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^5,x)","F"
126,0,0,281,0.450000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^6,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{6}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^6,x)","F"
127,0,0,453,0.436000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
128,0,0,367,0.448000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
129,0,0,267,0.319000," ","int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
130,0,0,146,0.291000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
131,0,0,361,0.450000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g),x)","F"
132,0,0,382,0.453000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2,x)","F"
133,0,0,357,0.455000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3,x)","F"
134,0,0,318,0.453000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4,x)","F"
135,0,0,261,0.471000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","F"
136,0,0,205,0.459000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","F"
137,0,0,134,0.392000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","F"
138,0,0,80,0.372000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{d i x +c i}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i),x)","F"
139,0,0,48,0.476000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right) \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i),x)","F"
140,0,0,179,0.478000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i),x)","F"
141,0,0,260,0.469000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i),x)","F"
142,0,0,379,0.474000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i),x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i),x)","F"
143,0,0,351,0.454000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","F"
144,0,0,275,0.451000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","F"
145,0,0,168,0.314000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","F"
146,0,0,102,0.314000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^2,x)","F"
147,0,0,164,0.474000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right) \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","F"
148,0,0,273,0.470000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","F"
149,0,0,374,0.472000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","F"
150,0,0,473,0.471000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","F"
151,0,0,378,0.459000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","F"
152,0,0,259,0.436000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","F"
153,0,0,85,0.312000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","F"
154,0,0,144,0.311000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(d*i*x+c*i)^3,x)","F"
155,0,0,248,0.473000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right) \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","F"
156,0,0,375,0.471000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","F"
157,0,0,475,0.471000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","F"
158,0,0,575,0.470000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","\int \frac{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","F"
159,0,0,560,0.308000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
160,0,0,467,0.304000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
161,0,0,356,0.124000," ","int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
162,0,0,218,0.113000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
163,0,0,306,0.312000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","F"
164,0,0,261,0.314000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","F"
165,0,0,145,0.321000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","F"
166,0,0,295,0.314000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","F"
167,0,0,457,0.313000," ","int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","\int \frac{\left(d i x +c i \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((d*i*x+c*i)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","F"
168,0,0,736,0.465000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
169,0,0,787,0.473000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
170,0,0,609,0.311000," ","int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
171,0,0,347,0.299000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
172,0,0,570,0.455000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","F"
173,0,0,472,0.452000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","F"
174,0,0,411,0.451000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","F"
175,0,0,151,0.456000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","F"
176,0,0,307,0.458000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{5}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^5,x)","F"
177,0,0,475,0.454000," ","int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^6,x)","\int \frac{\left(d i x +c i \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{6}}\, dx"," ",0,"int((d*i*x+c*i)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^6,x)","F"
178,0,0,1126,0.480000," ","int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{3} \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^3*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
179,0,0,938,0.464000," ","int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right)^{2} \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)^2*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
180,0,0,754,0.320000," ","int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(b g x +a g \right) \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((b*g*x+a*g)*(d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
181,0,0,434,0.302000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
182,0,0,746,0.452000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{b g x +a g}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g),x)","F"
183,0,0,737,0.452000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2,x)","F"
184,0,0,638,0.454000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3,x)","F"
185,0,0,549,0.454000," ","int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","\int \frac{\left(d i x +c i \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4}}\, dx"," ",0,"int((d*i*x+c*i)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4,x)","F"
186,0,0,752,0.471000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","F"
187,0,0,571,0.456000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","F"
188,0,0,303,0.312000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","F"
189,0,0,137,0.316000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{d i x +c i}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i),x)","F"
190,0,0,48,0.470000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right) \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i),x)","F"
191,0,0,197,0.472000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i),x)","F"
192,0,0,361,0.479000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i),x)","F"
193,0,0,529,0.471000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i),x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i),x)","F"
194,0,0,768,0.442000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","F"
195,0,0,500,0.467000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","F"
196,0,0,282,0.319000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","F"
197,0,0,163,0.319000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^2,x)","F"
198,0,0,229,0.478000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right) \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^2,x)","F"
199,0,0,390,0.477000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^2,x)","F"
200,0,0,554,0.474000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^2,x)","F"
201,0,0,721,0.470000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)^{2}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^2,x)","F"
202,0,0,670,0.452000," ","int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{3} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^3*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","F"
203,0,0,435,0.456000," ","int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right)^{2} \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^2*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","F"
204,0,0,145,0.314000," ","int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(b g x +a g \right) \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","F"
205,0,0,311,0.314000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(d*i*x+c*i)^3,x)","F"
206,0,0,394,0.474000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right) \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)/(d*i*x+c*i)^3,x)","F"
207,0,0,556,0.473000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{2} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^2/(d*i*x+c*i)^3,x)","F"
208,0,0,720,0.474000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{3} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^3/(d*i*x+c*i)^3,x)","F"
209,0,0,888,0.476000," ","int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","\int \frac{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}{\left(b g x +a g \right)^{4} \left(d i x +c i \right)^{3}}\, dx"," ",0,"int((B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2/(b*g*x+a*g)^4/(d*i*x+c*i)^3,x)","F"
210,-1,0,190,180.000000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^p,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{p} \left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^p,x)","F"
211,0,0,189,3.526000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^p,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{p} \left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^p,x)","F"
212,0,0,292,8.687000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{3} \left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","F"
213,0,0,210,7.855000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2} \left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
214,0,0,128,8.817000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right) \left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
215,0,0,126,4.210000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{\left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
216,-1,0,207,180.000000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
217,-1,0,290,180.000000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","\int \frac{\left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","F"
218,0,0,309,8.714000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{3} \left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","F"
219,0,0,223,7.781000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2} \left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
220,0,0,137,8.295000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right) \left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
221,0,0,127,3.997000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","\int \frac{\left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}}{B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A),x)","F"
222,-1,0,213,180.000000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","\int \frac{\left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{2}}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^2,x)","F"
223,-1,0,299,180.000000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","\int \frac{\left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}}{\left(B \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)+A \right)^{3}}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m/(B*ln(e*((b*x+a)/(d*x+c))^n)+A)^3,x)","F"
224,0,0,41,0.500000," ","int(ln(e*((b*x+a)/(d*x+c))^n)^p/(b*x+a)/(d*x+c),x)","\int \frac{\ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)^{p}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int(ln(e*((b*x+a)/(d*x+c))^n)^p/(b*x+a)/(d*x+c),x)","F"
225,0,0,41,0.862000," ","int(ln(e*((b*x+a)/(d*x+c))^n)^p/(b*d*x^2+a*c+(a*d+b*c)*x),x)","\int \frac{\ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)^{p}}{b d \,x^{2}+a c +\left(a d +b c \right) x}\, dx"," ",0,"int(ln(e*((b*x+a)/(d*x+c))^n)^p/(b*d*x^2+a*c+(a*d+b*c)*x),x)","F"
226,0,0,194,3.346000," ","int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p,x)","\int \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{p} \left(b g x +a g \right)^{m} \left(d i x +c i \right)^{-m -2}\, dx"," ",0,"int((b*g*x+a*g)^m*(d*i*x+c*i)^(-m-2)*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p,x)","F"
227,0,0,193,3.240000," ","int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p,x)","\int \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{p} \left(b g x +a g \right)^{-m -2} \left(d i x +c i \right)^{m}\, dx"," ",0,"int((b*g*x+a*g)^(-m-2)*(d*i*x+c*i)^m*(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p,x)","F"
228,1,64288,43,35.349000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(b*x+a)/(d*x+c),x)","\text{output too large to display}"," ",0,"result too large to display","C"
229,1,11062,43,3.775000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*x+a)/(d*x+c),x)","\text{output too large to display}"," ",0,"result too large to display","C"
230,1,1152,43,0.607000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*x+a)/(d*x+c),x)","-\frac{B n \ln \left(b x +a \right) \ln \left(d x +c \right)}{a d -b c}-\frac{A \ln \left(b x +a \right)}{a d -b c}+\frac{A \ln \left(-d x -c \right)}{a d -b c}+\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(d x +c \right)}{a d -b c}-\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{a d -b c}-\frac{B \ln \left(e \right) \ln \left(b x +a \right)}{a d -b c}+\frac{B \ln \left(e \right) \ln \left(-d x -c \right)}{a d -b c}+\frac{\left(\ln \left(b x +a \right)-\ln \left(d x +c \right)\right) B \ln \left(\left(d x +c \right)^{n}\right)}{a d -b c}+\frac{B n \ln \left(d x +c \right)^{2}}{2 a d -2 b c}+\frac{B n \ln \left(b x +a \right)^{2}}{2 a d -2 b c}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 a d -2 b c}+\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 a d -2 b c}+\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 a d -2 b c}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(-d x -c \right)}{2 a d -2 b c}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(-d x -c \right)}{2 a d -2 b c}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(-d x -c \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(-d x -c \right)}{2 \left(a d -b c \right)}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(-d x -c \right)}{2 a d -2 b c}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(-d x -c \right)}{2 a d -2 b c}-\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(-d x -c \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(-d x -c \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a d -b c \right)}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a d -b c \right)}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 a d -2 b c}"," ",0,"-1/(a*d-b*c)*B*n*ln(b*x+a)*ln(d*x+c)-1/(a*d-b*c)*A*ln(b*x+a)+1/(a*d-b*c)*A*ln(-d*x-c)+1/2/(a*d-b*c)*B*n*ln(d*x+c)^2+1/2/(a*d-b*c)*B*n*ln(b*x+a)^2+1/(a*d-b*c)*B*ln((b*x+a)^n)*ln(d*x+c)-1/(a*d-b*c)*B*ln((b*x+a)^n)*ln(b*x+a)-1/(a*d-b*c)*B*ln(e)*ln(b*x+a)+1/(a*d-b*c)*B*ln(e)*ln(-d*x-c)+B*(ln(b*x+a)-ln(d*x+c))/(a*d-b*c)*ln((d*x+c)^n)-1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3-1/2*I/(a*d-b*c)*B*Pi*ln(-d*x-c)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/2*I/(a*d-b*c)*B*Pi*ln(b*x+a)*csgn(I*(b*x+a)^n/((d*x+c)^n))^3","C"
231,1,368,41,0.191000," ","int(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","-\frac{\ln \left(\ln \left(\left(d x +c \right)^{n}\right)-\frac{-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)+2 A}{2 B}\right)}{\left(a d -b c \right) B n}"," ",0,"-1/B/n/(a*d-b*c)*ln(ln((d*x+c)^n)-1/2*(-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*B*ln(e)+2*B*ln((b*x+a)^n)+2*A)/B)","C"
232,1,366,43,0.178000," ","int(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\frac{2}{\left(a d -b c \right) \left(-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)-2 B \ln \left(\left(d x +c \right)^{n}\right)+2 A \right) B n}"," ",0,"2/B/n/(a*d-b*c)/(2*A+2*B*ln(e)+2*B*ln((b*x+a)^n)-2*B*ln((d*x+c)^n)-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3)","C"
233,1,366,43,0.175000," ","int(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3,x)","\frac{2}{\left(a d -b c \right) \left(-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)-2 B \ln \left(\left(d x +c \right)^{n}\right)+2 A \right)^{2} B n}"," ",0,"2/B/n/(a*d-b*c)/(2*A+2*B*ln(e)+2*B*ln((b*x+a)^n)-2*B*ln((d*x+c)^n)-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3)^2","C"
234,0,0,49,12.796000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*x+a)/(d*x+c),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{p}}{\left(b x +a \right) \left(d x +c \right)}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*x+a)/(d*x+c),x)","F"
235,0,0,55,12.590000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*f*x+a*f)/(d*g*x+c*g),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{p}}{\left(b x f +a f \right) \left(d g x +c g \right)}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(b*f*x+a*f)/(d*g*x+c*g),x)","F"
236,0,0,52,14.174000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(a*c*f+(a*d+b*c)*f*x+b*d*f*x^2),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{p}}{b d f \,x^{2}+a c f +\left(a d +b c \right) f x}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^p/(a*c*f+(a*d+b*c)*f*x+b*d*f*x^2),x)","F"
237,1,368,41,0.054000," ","int(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","-\frac{\ln \left(\ln \left(\left(d x +c \right)^{n}\right)-\frac{-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)+2 A}{2 B}\right)}{\left(a d -b c \right) B n}"," ",0,"-1/B/n/(a*d-b*c)*ln(ln((d*x+c)^n)-1/2*(-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*B*ln(e)+2*B*ln((b*x+a)^n)+2*A)/B)","C"
238,1,374,47,0.198000," ","int(1/(b*f*x+a*f)/(d*g*x+c*g)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","-\frac{\ln \left(\ln \left(\left(d x +c \right)^{n}\right)-\frac{-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)+2 A}{2 B}\right)}{\left(a d -b c \right) B f g n}"," ",0,"-1/B/f/g/n/(a*d-b*c)*ln(ln((d*x+c)^n)-1/2*(-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*B*ln(e)+2*B*ln((b*x+a)^n)+2*A)/B)","C"
239,1,371,44,0.209000," ","int(1/(b*d*f*x^2+a*c*f+(a*d+b*c)*f*x)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","-\frac{\ln \left(\ln \left(\left(d x +c \right)^{n}\right)-\frac{-i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}+i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2}-i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3}+2 B \ln \left(e \right)+2 B \ln \left(\left(b x +a \right)^{n}\right)+2 A}{2 B}\right)}{\left(a d -b c \right) B f n}"," ",0,"-1/B/f/n/(a*d-b*c)*ln(ln((d*x+c)^n)-1/2*(-I*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+I*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+I*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+I*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+I*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-I*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+2*B*ln(e)+2*B*ln((b*x+a)^n)+2*A)/B)","C"
240,0,0,89,0.872000," ","int((b*x+a)^m*(d*x+c)^(-m-2)/ln(e*(b*x+a)^n/((d*x+c)^n)),x)","\int \frac{\left(b x +a \right)^{m} \left(d x +c \right)^{-m -2}}{\ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)}\, dx"," ",0,"int((b*x+a)^m*(d*x+c)^(-m-2)/ln(e*(b*x+a)^n/((d*x+c)^n)),x)","F"
241,0,0,77,0.477000," ","int((b*x+a)^3/(d*x+c)^5/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{\left(b x +a \right)^{3}}{\left(d x +c \right)^{5} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int((b*x+a)^3/(d*x+c)^5/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
242,0,0,77,0.438000," ","int((b*x+a)^2/(d*x+c)^4/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{\left(b x +a \right)^{2}}{\left(d x +c \right)^{4} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int((b*x+a)^2/(d*x+c)^4/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
243,0,0,77,0.302000," ","int((b*x+a)/(d*x+c)^3/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{b x +a}{\left(d x +c \right)^{3} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int((b*x+a)/(d*x+c)^3/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
244,0,0,72,0.306000," ","int(1/(d*x+c)^2/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{1}{\left(d x +c \right)^{2} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int(1/(d*x+c)^2/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
245,0,0,33,0.470000," ","int(1/(b*x+a)/(d*x+c)/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{1}{\left(b x +a \right) \left(d x +c \right) \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int(1/(b*x+a)/(d*x+c)/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
246,0,0,71,0.304000," ","int(1/(b*x+a)^2/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{1}{\left(b x +a \right)^{2} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int(1/(b*x+a)^2/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
247,0,0,75,0.306000," ","int((d*x+c)/(b*x+a)^3/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{d x +c}{\left(b x +a \right)^{3} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int((d*x+c)/(b*x+a)^3/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
248,0,0,75,0.436000," ","int((d*x+c)^2/(b*x+a)^4/ln(e*((b*x+a)/(d*x+c))^n),x)","\int \frac{\left(d x +c \right)^{2}}{\left(b x +a \right)^{4} \ln \left(e \left(\frac{b x +a}{d x +c}\right)^{n}\right)}\, dx"," ",0,"int((d*x+c)^2/(b*x+a)^4/ln(e*((b*x+a)/(d*x+c))^n),x)","F"
249,0,0,361,5.970000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^4/(g*x+f)/(b*h*x+a*h),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{4}}{\left(g x +f \right) \left(b h x +a h \right)}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^4/(g*x+f)/(b*h*x+a*h),x)","F"
250,0,0,282,3.188000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(g*x+f)/(b*h*x+a*h),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{\left(g x +f \right) \left(b h x +a h \right)}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(g*x+f)/(b*h*x+a*h),x)","F"
251,0,0,203,3.174000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(g*x+f)/(b*h*x+a*h),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{\left(g x +f \right) \left(b h x +a h \right)}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(g*x+f)/(b*h*x+a*h),x)","F"
252,1,1447,123,0.359000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(g*x+f)/(b*h*x+a*h),x)","\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{A \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{A \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{B n \ln \left(\frac{c g -d f +\left(g x +f \right) d}{c g -d f}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{B n \ln \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}-\frac{B n \ln \left(\frac{a g -b f +\left(g x +f \right) b}{a g -b f}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}-\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}+\frac{B n \dilog \left(\frac{c g -d f +\left(g x +f \right) d}{c g -d f}\right)}{\left(a g -b f \right) h}-\frac{B n \dilog \left(\frac{a g -b f +\left(g x +f \right) b}{a g -b f}\right)}{\left(a g -b f \right) h}-\frac{B n \dilog \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right)}{\left(a g -b f \right) h}+\frac{B n \ln \left(b x +a \right)^{2}}{2 \left(a g -b f \right) h}+\frac{B \ln \left(e \right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{B \ln \left(e \right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}"," ",0,"1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/h*A/(a*g-b*f)*ln(g*x+f)-1/h*A/(a*g-b*f)*ln(b*x+a)+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/h*B*n/(a*g-b*f)*ln(g*x+f)*ln(((g*x+f)*d+c*g-d*f)/(c*g-d*f))-1/h*B*n/(a*g-b*f)*ln(b*x+a)*ln((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))-1/h*B*n/(a*g-b*f)*ln(g*x+f)*ln((b*(g*x+f)+a*g-b*f)/(a*g-b*f))-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/h*B*ln((b*x+a)^n)/(a*g-b*f)*ln(b*x+a)-1/h*B*ln((d*x+c)^n)/(a*g-b*f)*ln(g*x+f)-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/h*B*ln((d*x+c)^n)/(a*g-b*f)*ln(b*x+a)+1/h*B/(a*g-b*f)*ln(g*x+f)*ln((b*x+a)^n)+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/h*B*n/(a*g-b*f)*dilog(((g*x+f)*d+c*g-d*f)/(c*g-d*f))-1/h*B*n/(a*g-b*f)*dilog((b*(g*x+f)+a*g-b*f)/(a*g-b*f))+1/2/h*B*n/(a*g-b*f)*ln(b*x+a)^2-1/h*B*n/(a*g-b*f)*dilog((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))+1/h/(a*g-b*f)*ln(g*x+f)*B*ln(e)-1/h/(a*g-b*f)*ln(b*x+a)*B*ln(e)","C"
253,0,0,81,7.587000," ","int(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\int \frac{1}{\left(g x +f \right) \left(b h x +a h \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)}\, dx"," ",0,"int(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","F"
254,0,0,81,8.959000," ","int(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\int \frac{1}{\left(g x +f \right) \left(b h x +a h \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","F"
255,1,42,35,0.047000," ","int(ln((d*x+c)/(b*x+a))/(b*x+a)/((a-c)*h+(b-d)*h*x),x)","\frac{\dilog \left(\frac{d}{b}-\frac{a d -b c}{\left(b x +a \right) b}\right)}{\left(a d -b c \right) h}"," ",0,"dilog(-(a*d-b*c)/b/(b*x+a)+d/b)/h/(a*d-b*c)","A"
256,1,45,27,0.047000," ","int(ln((a-c*g+(-d*g+b)*x)/(b*x+a))/(b*x+a)/(d*x+c),x)","-\frac{\dilog \left(\frac{\left(a d -b c \right) g}{\left(b x +a \right) b}+\frac{-d g +b}{b}\right)}{a d -b c}"," ",0,"-dilog((-d*g+b)/b+g*(a*d-b*c)/b/(b*x+a))/(a*d-b*c)","A"
257,1,45,27,0.046000," ","int(ln(1-g*(d*x+c)/(b*x+a))/(b*x+a)/(d*x+c),x)","-\frac{\dilog \left(\frac{\left(a d -b c \right) g}{\left(b x +a \right) b}+\frac{-d g +b}{b}\right)}{a d -b c}"," ",0,"-dilog((a*d-b*c)/(b*x+a)/b*g+(-d*g+b)/b)/(a*d-b*c)","A"
258,1,45,27,0.048000," ","int(ln((-d*g*x+b*x-c*g+a)/(b*x+a))/(b*x+a)/(d*x+c),x)","-\frac{\dilog \left(\frac{\left(a d -b c \right) g}{\left(b x +a \right) b}+\frac{-d g +b}{b}\right)}{a d -b c}"," ",0,"-dilog((a*d-b*c)/(b*x+a)/b*g+(-d*g+b)/b)/(a*d-b*c)","A"
259,0,0,282,3.682000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x)),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{3}}{b g h \,x^{2}+a f h +\left(a g x +b x f \right) h}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^3/(a*f*h+b*g*h*x^2+h*(a*g*x+b*f*x)),x)","F"
260,0,0,203,4.399000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h),x)","\int \frac{\left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}{b g h \,x^{2}+a f h +\left(a g x +b x f \right) h}\, dx"," ",0,"int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h),x)","F"
261,1,1447,123,0.338000," ","int((A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h),x)","\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{A \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{A \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{B n \ln \left(\frac{c g -d f +\left(g x +f \right) d}{c g -d f}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{B n \ln \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}-\frac{B n \ln \left(\frac{a g -b f +\left(g x +f \right) b}{a g -b f}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}-\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{2} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{B \ln \left(\left(d x +c \right)^{n}\right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{B \ln \left(\left(b x +a \right)^{n}\right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}+\frac{B n \dilog \left(\frac{c g -d f +\left(g x +f \right) d}{c g -d f}\right)}{\left(a g -b f \right) h}-\frac{B n \dilog \left(\frac{a g -b f +\left(g x +f \right) b}{a g -b f}\right)}{\left(a g -b f \right) h}-\frac{B n \dilog \left(\frac{-a d +b c +\left(b x +a \right) d}{-a d +b c}\right)}{\left(a g -b f \right) h}+\frac{B n \ln \left(b x +a \right)^{2}}{2 \left(a g -b f \right) h}+\frac{B \ln \left(e \right) \ln \left(g x +f \right)}{\left(a g -b f \right) h}-\frac{B \ln \left(e \right) \ln \left(b x +a \right)}{\left(a g -b f \right) h}+\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)^{3} \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i e \right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}+\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(b x +a \right)}{2 \left(a g -b f \right) h}-\frac{i \pi  B \,\mathrm{csgn}\left(i \left(b x +a \right)^{n}\right) \mathrm{csgn}\left(i \left(d x +c \right)^{-n}\right) \mathrm{csgn}\left(i \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right) \ln \left(g x +f \right)}{2 \left(a g -b f \right) h}"," ",0,"1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3+1/(a*g-b*f)*A/h*ln(g*x+f)-1/(a*g-b*f)*A/h*ln(b*x+a)+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/(a*g-b*f)*B/h*n*ln((c*g-d*f+(g*x+f)*d)/(c*g-d*f))*ln(g*x+f)-1/(a*g-b*f)*B/h*n*ln((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))*ln(b*x+a)-1/(a*g-b*f)*B/h*n*ln((a*g-b*f+(g*x+f)*b)/(a*g-b*f))*ln(g*x+f)-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n)*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e)*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/(a*g-b*f)*B/h*ln((b*x+a)^n)*ln(b*x+a)-1/(a*g-b*f)*B/h*ln((d*x+c)^n)*ln(g*x+f)-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)-1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I/((d*x+c)^n))*csgn(I*(b*x+a)^n/((d*x+c)^n))^2+1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^2+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e)*csgn(I*(b*x+a)^n/((d*x+c)^n))*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*(b*x+a)^n/((d*x+c)^n))^3-1/2*I/h/(a*g-b*f)*ln(g*x+f)*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/(a*g-b*f)*B/h*ln((d*x+c)^n)*ln(b*x+a)+1/(a*g-b*f)*B/h*ln((b*x+a)^n)*ln(g*x+f)+1/2*I/h/(a*g-b*f)*ln(b*x+a)*B*Pi*csgn(I*e/((d*x+c)^n)*(b*x+a)^n)^3+1/h*B*n/(a*g-b*f)*dilog((c*g-d*f+(g*x+f)*d)/(c*g-d*f))-1/h*B*n/(a*g-b*f)*dilog((a*g-b*f+(g*x+f)*b)/(a*g-b*f))+1/2/(a*g-b*f)*B/h*n*ln(b*x+a)^2-1/h*B*n/(a*g-b*f)*dilog((-a*d+b*c+(b*x+a)*d)/(-a*d+b*c))+1/(a*g-b*f)*B/h*ln(e)*ln(g*x+f)-1/(a*g-b*f)*B/h*ln(e)*ln(b*x+a)","C"
262,0,0,82,12.992000," ","int(1/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","\int \frac{1}{\left(b g h \,x^{2}+a f h +\left(a g x +b x f \right) h \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)}\, dx"," ",0,"int(1/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n))),x)","F"
263,0,0,82,5.410000," ","int(1/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","\int \frac{1}{\left(b g h \,x^{2}+a f h +\left(a g x +b x f \right) h \right) \left(B \ln \left(e \left(b x +a \right)^{n} \left(d x +c \right)^{-n}\right)+A \right)^{2}}\, dx"," ",0,"int(1/(b*g*h*x^2+a*f*h+(a*g*x+b*f*x)*h)/(A+B*ln(e*(b*x+a)^n/((d*x+c)^n)))^2,x)","F"