1,1,1158,0,7.951548," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{3} d g^{3} i x^{5}}{5} - \frac{B a^{4} g^{3} i \left(a d - 5 b c\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{3} i + \frac{B a^{5} d^{4} g^{3} i \left(a d - 5 b c\right)}{b} - 15 B a^{4} b c^{2} d^{3} g^{3} i - B a^{4} c d^{3} g^{3} i \left(a d - 5 b c\right) + 10 B a^{3} b^{2} c^{3} d^{2} g^{3} i - 5 B a^{2} b^{3} c^{4} d g^{3} i + B a b^{4} c^{5} g^{3} i}{B a^{5} d^{5} g^{3} i - 5 B a^{4} b c d^{4} g^{3} i - 10 B a^{3} b^{2} c^{2} d^{3} g^{3} i + 10 B a^{2} b^{3} c^{3} d^{2} g^{3} i - 5 B a b^{4} c^{4} d g^{3} i + B b^{5} c^{5} g^{3} i} \right)}}{20 b^{2}} - \frac{B c^{2} g^{3} i \left(10 a^{3} d^{3} - 10 a^{2} b c d^{2} + 5 a b^{2} c^{2} d - b^{3} c^{3}\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{3} i - 15 B a^{4} b c^{2} d^{3} g^{3} i + 10 B a^{3} b^{2} c^{3} d^{2} g^{3} i - 5 B a^{2} b^{3} c^{4} d g^{3} i + B a b^{4} c^{5} g^{3} i + B a b c^{2} g^{3} i \left(10 a^{3} d^{3} - 10 a^{2} b c d^{2} + 5 a b^{2} c^{2} d - b^{3} c^{3}\right) - \frac{B b^{2} c^{3} g^{3} i \left(10 a^{3} d^{3} - 10 a^{2} b c d^{2} + 5 a b^{2} c^{2} d - b^{3} c^{3}\right)}{d}}{B a^{5} d^{5} g^{3} i - 5 B a^{4} b c d^{4} g^{3} i - 10 B a^{3} b^{2} c^{2} d^{3} g^{3} i + 10 B a^{2} b^{3} c^{3} d^{2} g^{3} i - 5 B a b^{4} c^{4} d g^{3} i + B b^{5} c^{5} g^{3} i} \right)}}{20 d^{4}} + x^{4} \left(\frac{3 A a b^{2} d g^{3} i}{4} + \frac{A b^{3} c g^{3} i}{4} + \frac{B a b^{2} d g^{3} i}{20} - \frac{B b^{3} c g^{3} i}{20}\right) + x^{3} \left(A a^{2} b d g^{3} i + A a b^{2} c g^{3} i + \frac{11 B a^{2} b d g^{3} i}{60} - \frac{B a b^{2} c g^{3} i}{6} - \frac{B b^{3} c^{2} g^{3} i}{60 d}\right) + x^{2} \left(\frac{A a^{3} d g^{3} i}{2} + \frac{3 A a^{2} b c g^{3} i}{2} + \frac{9 B a^{3} d g^{3} i}{40} - \frac{B a^{2} b c g^{3} i}{8} - \frac{B a b^{2} c^{2} g^{3} i}{8 d} + \frac{B b^{3} c^{3} g^{3} i}{40 d^{2}}\right) + x \left(A a^{3} c g^{3} i + \frac{B a^{4} d g^{3} i}{20 b} + \frac{B a^{3} c g^{3} i}{4} - \frac{B a^{2} b c^{2} g^{3} i}{2 d} + \frac{B a b^{2} c^{3} g^{3} i}{4 d^{2}} - \frac{B b^{3} c^{4} g^{3} i}{20 d^{3}}\right) + \left(B a^{3} c g^{3} i x + \frac{B a^{3} d g^{3} i x^{2}}{2} + \frac{3 B a^{2} b c g^{3} i x^{2}}{2} + B a^{2} b d g^{3} i x^{3} + B a b^{2} c g^{3} i x^{3} + \frac{3 B a b^{2} d g^{3} i x^{4}}{4} + \frac{B b^{3} c g^{3} i x^{4}}{4} + \frac{B b^{3} d g^{3} i x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**3*d*g**3*i*x**5/5 - B*a**4*g**3*i*(a*d - 5*b*c)*log(x + (B*a**5*c*d**4*g**3*i + B*a**5*d**4*g**3*i*(a*d - 5*b*c)/b - 15*B*a**4*b*c**2*d**3*g**3*i - B*a**4*c*d**3*g**3*i*(a*d - 5*b*c) + 10*B*a**3*b**2*c**3*d**2*g**3*i - 5*B*a**2*b**3*c**4*d*g**3*i + B*a*b**4*c**5*g**3*i)/(B*a**5*d**5*g**3*i - 5*B*a**4*b*c*d**4*g**3*i - 10*B*a**3*b**2*c**2*d**3*g**3*i + 10*B*a**2*b**3*c**3*d**2*g**3*i - 5*B*a*b**4*c**4*d*g**3*i + B*b**5*c**5*g**3*i))/(20*b**2) - B*c**2*g**3*i*(10*a**3*d**3 - 10*a**2*b*c*d**2 + 5*a*b**2*c**2*d - b**3*c**3)*log(x + (B*a**5*c*d**4*g**3*i - 15*B*a**4*b*c**2*d**3*g**3*i + 10*B*a**3*b**2*c**3*d**2*g**3*i - 5*B*a**2*b**3*c**4*d*g**3*i + B*a*b**4*c**5*g**3*i + B*a*b*c**2*g**3*i*(10*a**3*d**3 - 10*a**2*b*c*d**2 + 5*a*b**2*c**2*d - b**3*c**3) - B*b**2*c**3*g**3*i*(10*a**3*d**3 - 10*a**2*b*c*d**2 + 5*a*b**2*c**2*d - b**3*c**3)/d)/(B*a**5*d**5*g**3*i - 5*B*a**4*b*c*d**4*g**3*i - 10*B*a**3*b**2*c**2*d**3*g**3*i + 10*B*a**2*b**3*c**3*d**2*g**3*i - 5*B*a*b**4*c**4*d*g**3*i + B*b**5*c**5*g**3*i))/(20*d**4) + x**4*(3*A*a*b**2*d*g**3*i/4 + A*b**3*c*g**3*i/4 + B*a*b**2*d*g**3*i/20 - B*b**3*c*g**3*i/20) + x**3*(A*a**2*b*d*g**3*i + A*a*b**2*c*g**3*i + 11*B*a**2*b*d*g**3*i/60 - B*a*b**2*c*g**3*i/6 - B*b**3*c**2*g**3*i/(60*d)) + x**2*(A*a**3*d*g**3*i/2 + 3*A*a**2*b*c*g**3*i/2 + 9*B*a**3*d*g**3*i/40 - B*a**2*b*c*g**3*i/8 - B*a*b**2*c**2*g**3*i/(8*d) + B*b**3*c**3*g**3*i/(40*d**2)) + x*(A*a**3*c*g**3*i + B*a**4*d*g**3*i/(20*b) + B*a**3*c*g**3*i/4 - B*a**2*b*c**2*g**3*i/(2*d) + B*a*b**2*c**3*g**3*i/(4*d**2) - B*b**3*c**4*g**3*i/(20*d**3)) + (B*a**3*c*g**3*i*x + B*a**3*d*g**3*i*x**2/2 + 3*B*a**2*b*c*g**3*i*x**2/2 + B*a**2*b*d*g**3*i*x**3 + B*a*b**2*c*g**3*i*x**3 + 3*B*a*b**2*d*g**3*i*x**4/4 + B*b**3*c*g**3*i*x**4/4 + B*b**3*d*g**3*i*x**5/5)*log(e*(a + b*x)/(c + d*x))","B",0
2,1,850,0,5.105337," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{2} d g^{2} i x^{4}}{4} - \frac{B a^{3} g^{2} i \left(a d - 4 b c\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{2} i + \frac{B a^{4} d^{3} g^{2} i \left(a d - 4 b c\right)}{b} - 10 B a^{3} b c^{2} d^{2} g^{2} i - B a^{3} c d^{2} g^{2} i \left(a d - 4 b c\right) + 4 B a^{2} b^{2} c^{3} d g^{2} i - B a b^{3} c^{4} g^{2} i}{B a^{4} d^{4} g^{2} i - 4 B a^{3} b c d^{3} g^{2} i - 6 B a^{2} b^{2} c^{2} d^{2} g^{2} i + 4 B a b^{3} c^{3} d g^{2} i - B b^{4} c^{4} g^{2} i} \right)}}{12 b^{2}} - \frac{B c^{2} g^{2} i \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{2} i - 10 B a^{3} b c^{2} d^{2} g^{2} i + 4 B a^{2} b^{2} c^{3} d g^{2} i - B a b^{3} c^{4} g^{2} i + B a b c^{2} g^{2} i \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right) - \frac{B b^{2} c^{3} g^{2} i \left(6 a^{2} d^{2} - 4 a b c d + b^{2} c^{2}\right)}{d}}{B a^{4} d^{4} g^{2} i - 4 B a^{3} b c d^{3} g^{2} i - 6 B a^{2} b^{2} c^{2} d^{2} g^{2} i + 4 B a b^{3} c^{3} d g^{2} i - B b^{4} c^{4} g^{2} i} \right)}}{12 d^{3}} + x^{3} \left(\frac{2 A a b d g^{2} i}{3} + \frac{A b^{2} c g^{2} i}{3} + \frac{B a b d g^{2} i}{12} - \frac{B b^{2} c g^{2} i}{12}\right) + x^{2} \left(\frac{A a^{2} d g^{2} i}{2} + A a b c g^{2} i + \frac{5 B a^{2} d g^{2} i}{24} - \frac{B a b c g^{2} i}{6} - \frac{B b^{2} c^{2} g^{2} i}{24 d}\right) + x \left(A a^{2} c g^{2} i + \frac{B a^{3} d g^{2} i}{12 b} + \frac{B a^{2} c g^{2} i}{6} - \frac{B a b c^{2} g^{2} i}{3 d} + \frac{B b^{2} c^{3} g^{2} i}{12 d^{2}}\right) + \left(B a^{2} c g^{2} i x + \frac{B a^{2} d g^{2} i x^{2}}{2} + B a b c g^{2} i x^{2} + \frac{2 B a b d g^{2} i x^{3}}{3} + \frac{B b^{2} c g^{2} i x^{3}}{3} + \frac{B b^{2} d g^{2} i x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**2*d*g**2*i*x**4/4 - B*a**3*g**2*i*(a*d - 4*b*c)*log(x + (B*a**4*c*d**3*g**2*i + B*a**4*d**3*g**2*i*(a*d - 4*b*c)/b - 10*B*a**3*b*c**2*d**2*g**2*i - B*a**3*c*d**2*g**2*i*(a*d - 4*b*c) + 4*B*a**2*b**2*c**3*d*g**2*i - B*a*b**3*c**4*g**2*i)/(B*a**4*d**4*g**2*i - 4*B*a**3*b*c*d**3*g**2*i - 6*B*a**2*b**2*c**2*d**2*g**2*i + 4*B*a*b**3*c**3*d*g**2*i - B*b**4*c**4*g**2*i))/(12*b**2) - B*c**2*g**2*i*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)*log(x + (B*a**4*c*d**3*g**2*i - 10*B*a**3*b*c**2*d**2*g**2*i + 4*B*a**2*b**2*c**3*d*g**2*i - B*a*b**3*c**4*g**2*i + B*a*b*c**2*g**2*i*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2) - B*b**2*c**3*g**2*i*(6*a**2*d**2 - 4*a*b*c*d + b**2*c**2)/d)/(B*a**4*d**4*g**2*i - 4*B*a**3*b*c*d**3*g**2*i - 6*B*a**2*b**2*c**2*d**2*g**2*i + 4*B*a*b**3*c**3*d*g**2*i - B*b**4*c**4*g**2*i))/(12*d**3) + x**3*(2*A*a*b*d*g**2*i/3 + A*b**2*c*g**2*i/3 + B*a*b*d*g**2*i/12 - B*b**2*c*g**2*i/12) + x**2*(A*a**2*d*g**2*i/2 + A*a*b*c*g**2*i + 5*B*a**2*d*g**2*i/24 - B*a*b*c*g**2*i/6 - B*b**2*c**2*g**2*i/(24*d)) + x*(A*a**2*c*g**2*i + B*a**3*d*g**2*i/(12*b) + B*a**2*c*g**2*i/6 - B*a*b*c**2*g**2*i/(3*d) + B*b**2*c**3*g**2*i/(12*d**2)) + (B*a**2*c*g**2*i*x + B*a**2*d*g**2*i*x**2/2 + B*a*b*c*g**2*i*x**2 + 2*B*a*b*d*g**2*i*x**3/3 + B*b**2*c*g**2*i*x**3/3 + B*b**2*d*g**2*i*x**4/4)*log(e*(a + b*x)/(c + d*x))","B",0
3,1,498,0,3.150708," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b d g i x^{3}}{3} - \frac{B a^{2} g i \left(a d - 3 b c\right) \log{\left(x + \frac{B a^{3} c d^{2} g i + \frac{B a^{3} d^{2} g i \left(a d - 3 b c\right)}{b} - 6 B a^{2} b c^{2} d g i - B a^{2} c d g i \left(a d - 3 b c\right) + B a b^{2} c^{3} g i}{B a^{3} d^{3} g i - 3 B a^{2} b c d^{2} g i - 3 B a b^{2} c^{2} d g i + B b^{3} c^{3} g i} \right)}}{6 b^{2}} - \frac{B c^{2} g i \left(3 a d - b c\right) \log{\left(x + \frac{B a^{3} c d^{2} g i - 6 B a^{2} b c^{2} d g i + B a b^{2} c^{3} g i + B a b c^{2} g i \left(3 a d - b c\right) - \frac{B b^{2} c^{3} g i \left(3 a d - b c\right)}{d}}{B a^{3} d^{3} g i - 3 B a^{2} b c d^{2} g i - 3 B a b^{2} c^{2} d g i + B b^{3} c^{3} g i} \right)}}{6 d^{2}} + x^{2} \left(\frac{A a d g i}{2} + \frac{A b c g i}{2} + \frac{B a d g i}{6} - \frac{B b c g i}{6}\right) + x \left(A a c g i + \frac{B a^{2} d g i}{6 b} - \frac{B b c^{2} g i}{6 d}\right) + \left(B a c g i x + \frac{B a d g i x^{2}}{2} + \frac{B b c g i x^{2}}{2} + \frac{B b d g i x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b*d*g*i*x**3/3 - B*a**2*g*i*(a*d - 3*b*c)*log(x + (B*a**3*c*d**2*g*i + B*a**3*d**2*g*i*(a*d - 3*b*c)/b - 6*B*a**2*b*c**2*d*g*i - B*a**2*c*d*g*i*(a*d - 3*b*c) + B*a*b**2*c**3*g*i)/(B*a**3*d**3*g*i - 3*B*a**2*b*c*d**2*g*i - 3*B*a*b**2*c**2*d*g*i + B*b**3*c**3*g*i))/(6*b**2) - B*c**2*g*i*(3*a*d - b*c)*log(x + (B*a**3*c*d**2*g*i - 6*B*a**2*b*c**2*d*g*i + B*a*b**2*c**3*g*i + B*a*b*c**2*g*i*(3*a*d - b*c) - B*b**2*c**3*g*i*(3*a*d - b*c)/d)/(B*a**3*d**3*g*i - 3*B*a**2*b*c*d**2*g*i - 3*B*a*b**2*c**2*d*g*i + B*b**3*c**3*g*i))/(6*d**2) + x**2*(A*a*d*g*i/2 + A*b*c*g*i/2 + B*a*d*g*i/6 - B*b*c*g*i/6) + x*(A*a*c*g*i + B*a**2*d*g*i/(6*b) - B*b*c**2*g*i/(6*d)) + (B*a*c*g*i*x + B*a*d*g*i*x**2/2 + B*b*c*g*i*x**2/2 + B*b*d*g*i*x**3/3)*log(e*(a + b*x)/(c + d*x))","B",0
4,1,253,0,1.990172," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A d i x^{2}}{2} - \frac{B a i \left(a d - 2 b c\right) \log{\left(x + \frac{B a^{2} c d i + \frac{B a^{2} d i \left(a d - 2 b c\right)}{b} - 3 B a b c^{2} i - B a c i \left(a d - 2 b c\right)}{B a^{2} d^{2} i - 2 B a b c d i - B b^{2} c^{2} i} \right)}}{2 b^{2}} - \frac{B c^{2} i \log{\left(x + \frac{B a^{2} c d i - 2 B a b c^{2} i - \frac{B b^{2} c^{3} i}{d}}{B a^{2} d^{2} i - 2 B a b c d i - B b^{2} c^{2} i} \right)}}{2 d} + x \left(A c i + \frac{B a d i}{2 b} - \frac{B c i}{2}\right) + \left(B c i x + \frac{B d i x^{2}}{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*d*i*x**2/2 - B*a*i*(a*d - 2*b*c)*log(x + (B*a**2*c*d*i + B*a**2*d*i*(a*d - 2*b*c)/b - 3*B*a*b*c**2*i - B*a*c*i*(a*d - 2*b*c))/(B*a**2*d**2*i - 2*B*a*b*c*d*i - B*b**2*c**2*i))/(2*b**2) - B*c**2*i*log(x + (B*a**2*c*d*i - 2*B*a*b*c**2*i - B*b**2*c**3*i/d)/(B*a**2*d**2*i - 2*B*a*b*c*d*i - B*b**2*c**2*i))/(2*d) + x*(A*c*i + B*a*d*i/(2*b) - B*c*i/2) + (B*c*i*x + B*d*i*x**2/2)*log(e*(a + b*x)/(c + d*x))","B",0
5,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x)","\frac{i \left(\int \frac{A c}{a + b x}\, dx + \int \frac{A d x}{a + b x}\, dx + \int \frac{B c \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{B d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i*(Integral(A*c/(a + b*x), x) + Integral(A*d*x/(a + b*x), x) + Integral(B*c*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(B*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
6,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
7,1,384,0,6.246086," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3,x)","- \frac{B d^{2} i \log{\left(x + \frac{- \frac{B a^{2} d^{4} i}{a d - b c} + \frac{2 B a b c d^{3} i}{a d - b c} + B a d^{3} i - \frac{B b^{2} c^{2} d^{2} i}{a d - b c} + B b c d^{2} i}{2 B b d^{3} i} \right)}}{2 b^{2} g^{3} \left(a d - b c\right)} + \frac{B d^{2} i \log{\left(x + \frac{\frac{B a^{2} d^{4} i}{a d - b c} - \frac{2 B a b c d^{3} i}{a d - b c} + B a d^{3} i + \frac{B b^{2} c^{2} d^{2} i}{a d - b c} + B b c d^{2} i}{2 B b d^{3} i} \right)}}{2 b^{2} g^{3} \left(a d - b c\right)} + \frac{- 2 A a d i - 2 A b c i - B a d i - B b c i + x \left(- 4 A b d i - 2 B b d i\right)}{4 a^{2} b^{2} g^{3} + 8 a b^{3} g^{3} x + 4 b^{4} g^{3} x^{2}} + \frac{\left(- B a d i - B b c i - 2 B b d i x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{2} b^{2} g^{3} + 4 a b^{3} g^{3} x + 2 b^{4} g^{3} x^{2}}"," ",0,"-B*d**2*i*log(x + (-B*a**2*d**4*i/(a*d - b*c) + 2*B*a*b*c*d**3*i/(a*d - b*c) + B*a*d**3*i - B*b**2*c**2*d**2*i/(a*d - b*c) + B*b*c*d**2*i)/(2*B*b*d**3*i))/(2*b**2*g**3*(a*d - b*c)) + B*d**2*i*log(x + (B*a**2*d**4*i/(a*d - b*c) - 2*B*a*b*c*d**3*i/(a*d - b*c) + B*a*d**3*i + B*b**2*c**2*d**2*i/(a*d - b*c) + B*b*c*d**2*i)/(2*B*b*d**3*i))/(2*b**2*g**3*(a*d - b*c)) + (-2*A*a*d*i - 2*A*b*c*i - B*a*d*i - B*b*c*i + x*(-4*A*b*d*i - 2*B*b*d*i))/(4*a**2*b**2*g**3 + 8*a*b**3*g**3*x + 4*b**4*g**3*x**2) + (-B*a*d*i - B*b*c*i - 2*B*b*d*i*x)*log(e*(a + b*x)/(c + d*x))/(2*a**2*b**2*g**3 + 4*a*b**3*g**3*x + 2*b**4*g**3*x**2)","B",0
8,1,629,0,11.300527," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4,x)","- \frac{B d^{3} i \log{\left(x + \frac{- \frac{B a^{3} d^{6} i}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{5} i}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{4} i}{\left(a d - b c\right)^{2}} + B a d^{4} i + \frac{B b^{3} c^{3} d^{3} i}{\left(a d - b c\right)^{2}} + B b c d^{3} i}{2 B b d^{4} i} \right)}}{6 b^{2} g^{4} \left(a d - b c\right)^{2}} + \frac{B d^{3} i \log{\left(x + \frac{\frac{B a^{3} d^{6} i}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{5} i}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{4} i}{\left(a d - b c\right)^{2}} + B a d^{4} i - \frac{B b^{3} c^{3} d^{3} i}{\left(a d - b c\right)^{2}} + B b c d^{3} i}{2 B b d^{4} i} \right)}}{6 b^{2} g^{4} \left(a d - b c\right)^{2}} + \frac{\left(- B a d i - 2 B b c i - 3 B b d i x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{6 a^{3} b^{2} g^{4} + 18 a^{2} b^{3} g^{4} x + 18 a b^{4} g^{4} x^{2} + 6 b^{5} g^{4} x^{3}} + \frac{- 6 A a^{2} d^{2} i - 6 A a b c d i + 12 A b^{2} c^{2} i - 5 B a^{2} d^{2} i - 5 B a b c d i + 4 B b^{2} c^{2} i - 6 B b^{2} d^{2} i x^{2} + x \left(- 18 A a b d^{2} i + 18 A b^{2} c d i - 15 B a b d^{2} i + 3 B b^{2} c d i\right)}{36 a^{4} b^{2} d g^{4} - 36 a^{3} b^{3} c g^{4} + x^{3} \left(36 a b^{5} d g^{4} - 36 b^{6} c g^{4}\right) + x^{2} \left(108 a^{2} b^{4} d g^{4} - 108 a b^{5} c g^{4}\right) + x \left(108 a^{3} b^{3} d g^{4} - 108 a^{2} b^{4} c g^{4}\right)}"," ",0,"-B*d**3*i*log(x + (-B*a**3*d**6*i/(a*d - b*c)**2 + 3*B*a**2*b*c*d**5*i/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**4*i/(a*d - b*c)**2 + B*a*d**4*i + B*b**3*c**3*d**3*i/(a*d - b*c)**2 + B*b*c*d**3*i)/(2*B*b*d**4*i))/(6*b**2*g**4*(a*d - b*c)**2) + B*d**3*i*log(x + (B*a**3*d**6*i/(a*d - b*c)**2 - 3*B*a**2*b*c*d**5*i/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**4*i/(a*d - b*c)**2 + B*a*d**4*i - B*b**3*c**3*d**3*i/(a*d - b*c)**2 + B*b*c*d**3*i)/(2*B*b*d**4*i))/(6*b**2*g**4*(a*d - b*c)**2) + (-B*a*d*i - 2*B*b*c*i - 3*B*b*d*i*x)*log(e*(a + b*x)/(c + d*x))/(6*a**3*b**2*g**4 + 18*a**2*b**3*g**4*x + 18*a*b**4*g**4*x**2 + 6*b**5*g**4*x**3) + (-6*A*a**2*d**2*i - 6*A*a*b*c*d*i + 12*A*b**2*c**2*i - 5*B*a**2*d**2*i - 5*B*a*b*c*d*i + 4*B*b**2*c**2*i - 6*B*b**2*d**2*i*x**2 + x*(-18*A*a*b*d**2*i + 18*A*b**2*c*d*i - 15*B*a*b*d**2*i + 3*B*b**2*c*d*i))/(36*a**4*b**2*d*g**4 - 36*a**3*b**3*c*g**4 + x**3*(36*a*b**5*d*g**4 - 36*b**6*c*g**4) + x**2*(108*a**2*b**4*d*g**4 - 108*a*b**5*c*g**4) + x*(108*a**3*b**3*d*g**4 - 108*a**2*b**4*c*g**4))","B",0
9,1,928,0,18.730757," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**5,x)","- \frac{B d^{4} i \log{\left(x + \frac{- \frac{B a^{4} d^{8} i}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{7} i}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{6} i}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{5} i}{\left(a d - b c\right)^{3}} + B a d^{5} i - \frac{B b^{4} c^{4} d^{4} i}{\left(a d - b c\right)^{3}} + B b c d^{4} i}{2 B b d^{5} i} \right)}}{12 b^{2} g^{5} \left(a d - b c\right)^{3}} + \frac{B d^{4} i \log{\left(x + \frac{\frac{B a^{4} d^{8} i}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{7} i}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{6} i}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{5} i}{\left(a d - b c\right)^{3}} + B a d^{5} i + \frac{B b^{4} c^{4} d^{4} i}{\left(a d - b c\right)^{3}} + B b c d^{4} i}{2 B b d^{5} i} \right)}}{12 b^{2} g^{5} \left(a d - b c\right)^{3}} + \frac{\left(- B a d i - 3 B b c i - 4 B b d i x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{12 a^{4} b^{2} g^{5} + 48 a^{3} b^{3} g^{5} x + 72 a^{2} b^{4} g^{5} x^{2} + 48 a b^{5} g^{5} x^{3} + 12 b^{6} g^{5} x^{4}} + \frac{- 12 A a^{3} d^{3} i - 12 A a^{2} b c d^{2} i + 60 A a b^{2} c^{2} d i - 36 A b^{3} c^{3} i - 13 B a^{3} d^{3} i - 13 B a^{2} b c d^{2} i + 23 B a b^{2} c^{2} d i - 9 B b^{3} c^{3} i - 12 B b^{3} d^{3} i x^{3} + x^{2} \left(- 42 B a b^{2} d^{3} i + 6 B b^{3} c d^{2} i\right) + x \left(- 48 A a^{2} b d^{3} i + 96 A a b^{2} c d^{2} i - 48 A b^{3} c^{2} d i - 52 B a^{2} b d^{3} i + 20 B a b^{2} c d^{2} i - 4 B b^{3} c^{2} d i\right)}{144 a^{6} b^{2} d^{2} g^{5} - 288 a^{5} b^{3} c d g^{5} + 144 a^{4} b^{4} c^{2} g^{5} + x^{4} \left(144 a^{2} b^{6} d^{2} g^{5} - 288 a b^{7} c d g^{5} + 144 b^{8} c^{2} g^{5}\right) + x^{3} \left(576 a^{3} b^{5} d^{2} g^{5} - 1152 a^{2} b^{6} c d g^{5} + 576 a b^{7} c^{2} g^{5}\right) + x^{2} \left(864 a^{4} b^{4} d^{2} g^{5} - 1728 a^{3} b^{5} c d g^{5} + 864 a^{2} b^{6} c^{2} g^{5}\right) + x \left(576 a^{5} b^{3} d^{2} g^{5} - 1152 a^{4} b^{4} c d g^{5} + 576 a^{3} b^{5} c^{2} g^{5}\right)}"," ",0,"-B*d**4*i*log(x + (-B*a**4*d**8*i/(a*d - b*c)**3 + 4*B*a**3*b*c*d**7*i/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**6*i/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**5*i/(a*d - b*c)**3 + B*a*d**5*i - B*b**4*c**4*d**4*i/(a*d - b*c)**3 + B*b*c*d**4*i)/(2*B*b*d**5*i))/(12*b**2*g**5*(a*d - b*c)**3) + B*d**4*i*log(x + (B*a**4*d**8*i/(a*d - b*c)**3 - 4*B*a**3*b*c*d**7*i/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**6*i/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**5*i/(a*d - b*c)**3 + B*a*d**5*i + B*b**4*c**4*d**4*i/(a*d - b*c)**3 + B*b*c*d**4*i)/(2*B*b*d**5*i))/(12*b**2*g**5*(a*d - b*c)**3) + (-B*a*d*i - 3*B*b*c*i - 4*B*b*d*i*x)*log(e*(a + b*x)/(c + d*x))/(12*a**4*b**2*g**5 + 48*a**3*b**3*g**5*x + 72*a**2*b**4*g**5*x**2 + 48*a*b**5*g**5*x**3 + 12*b**6*g**5*x**4) + (-12*A*a**3*d**3*i - 12*A*a**2*b*c*d**2*i + 60*A*a*b**2*c**2*d*i - 36*A*b**3*c**3*i - 13*B*a**3*d**3*i - 13*B*a**2*b*c*d**2*i + 23*B*a*b**2*c**2*d*i - 9*B*b**3*c**3*i - 12*B*b**3*d**3*i*x**3 + x**2*(-42*B*a*b**2*d**3*i + 6*B*b**3*c*d**2*i) + x*(-48*A*a**2*b*d**3*i + 96*A*a*b**2*c*d**2*i - 48*A*b**3*c**2*d*i - 52*B*a**2*b*d**3*i + 20*B*a*b**2*c*d**2*i - 4*B*b**3*c**2*d*i))/(144*a**6*b**2*d**2*g**5 - 288*a**5*b**3*c*d*g**5 + 144*a**4*b**4*c**2*g**5 + x**4*(144*a**2*b**6*d**2*g**5 - 288*a*b**7*c*d*g**5 + 144*b**8*c**2*g**5) + x**3*(576*a**3*b**5*d**2*g**5 - 1152*a**2*b**6*c*d*g**5 + 576*a*b**7*c**2*g**5) + x**2*(864*a**4*b**4*d**2*g**5 - 1728*a**3*b**5*c*d*g**5 + 864*a**2*b**6*c**2*g**5) + x*(576*a**5*b**3*d**2*g**5 - 1152*a**4*b**4*c*d*g**5 + 576*a**3*b**5*c**2*g**5))","B",0
10,1,1727,0,13.453434," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{3} d^{2} g^{3} i^{2} x^{6}}{6} + \frac{B a^{4} g^{3} i^{2} \left(a^{2} d^{2} - 6 a b c d + 15 b^{2} c^{2}\right) \log{\left(x + \frac{B a^{6} c d^{5} g^{3} i^{2} - 6 B a^{5} b c^{2} d^{4} g^{3} i^{2} + \frac{B a^{5} d^{4} g^{3} i^{2} \left(a^{2} d^{2} - 6 a b c d + 15 b^{2} c^{2}\right)}{b} + 35 B a^{4} b^{2} c^{3} d^{3} g^{3} i^{2} - B a^{4} c d^{3} g^{3} i^{2} \left(a^{2} d^{2} - 6 a b c d + 15 b^{2} c^{2}\right) - 15 B a^{3} b^{3} c^{4} d^{2} g^{3} i^{2} + 6 B a^{2} b^{4} c^{5} d g^{3} i^{2} - B a b^{5} c^{6} g^{3} i^{2}}{B a^{6} d^{6} g^{3} i^{2} - 6 B a^{5} b c d^{5} g^{3} i^{2} + 15 B a^{4} b^{2} c^{2} d^{4} g^{3} i^{2} + 20 B a^{3} b^{3} c^{3} d^{3} g^{3} i^{2} - 15 B a^{2} b^{4} c^{4} d^{2} g^{3} i^{2} + 6 B a b^{5} c^{5} d g^{3} i^{2} - B b^{6} c^{6} g^{3} i^{2}} \right)}}{60 b^{3}} - \frac{B c^{3} g^{3} i^{2} \left(20 a^{3} d^{3} - 15 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - b^{3} c^{3}\right) \log{\left(x + \frac{B a^{6} c d^{5} g^{3} i^{2} - 6 B a^{5} b c^{2} d^{4} g^{3} i^{2} + 35 B a^{4} b^{2} c^{3} d^{3} g^{3} i^{2} - 15 B a^{3} b^{3} c^{4} d^{2} g^{3} i^{2} + 6 B a^{2} b^{4} c^{5} d g^{3} i^{2} - B a b^{5} c^{6} g^{3} i^{2} - B a b^{2} c^{3} g^{3} i^{2} \left(20 a^{3} d^{3} - 15 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - b^{3} c^{3}\right) + \frac{B b^{3} c^{4} g^{3} i^{2} \left(20 a^{3} d^{3} - 15 a^{2} b c d^{2} + 6 a b^{2} c^{2} d - b^{3} c^{3}\right)}{d}}{B a^{6} d^{6} g^{3} i^{2} - 6 B a^{5} b c d^{5} g^{3} i^{2} + 15 B a^{4} b^{2} c^{2} d^{4} g^{3} i^{2} + 20 B a^{3} b^{3} c^{3} d^{3} g^{3} i^{2} - 15 B a^{2} b^{4} c^{4} d^{2} g^{3} i^{2} + 6 B a b^{5} c^{5} d g^{3} i^{2} - B b^{6} c^{6} g^{3} i^{2}} \right)}}{60 d^{4}} + x^{5} \left(\frac{3 A a b^{2} d^{2} g^{3} i^{2}}{5} + \frac{2 A b^{3} c d g^{3} i^{2}}{5} + \frac{B a b^{2} d^{2} g^{3} i^{2}}{30} - \frac{B b^{3} c d g^{3} i^{2}}{30}\right) + x^{4} \left(\frac{3 A a^{2} b d^{2} g^{3} i^{2}}{4} + \frac{3 A a b^{2} c d g^{3} i^{2}}{2} + \frac{A b^{3} c^{2} g^{3} i^{2}}{4} + \frac{13 B a^{2} b d^{2} g^{3} i^{2}}{120} - \frac{B a b^{2} c d g^{3} i^{2}}{20} - \frac{7 B b^{3} c^{2} g^{3} i^{2}}{120}\right) + x^{3} \left(\frac{A a^{3} d^{2} g^{3} i^{2}}{3} + 2 A a^{2} b c d g^{3} i^{2} + A a b^{2} c^{2} g^{3} i^{2} + \frac{19 B a^{3} d^{2} g^{3} i^{2}}{180} + \frac{7 B a^{2} b c d g^{3} i^{2}}{60} - \frac{13 B a b^{2} c^{2} g^{3} i^{2}}{60} - \frac{B b^{3} c^{3} g^{3} i^{2}}{180 d}\right) + x^{2} \left(A a^{3} c d g^{3} i^{2} + \frac{3 A a^{2} b c^{2} g^{3} i^{2}}{2} + \frac{B a^{4} d^{2} g^{3} i^{2}}{120 b} + \frac{17 B a^{3} c d g^{3} i^{2}}{60} - \frac{B a^{2} b c^{2} g^{3} i^{2}}{4} - \frac{B a b^{2} c^{3} g^{3} i^{2}}{20 d} + \frac{B b^{3} c^{4} g^{3} i^{2}}{120 d^{2}}\right) + x \left(A a^{3} c^{2} g^{3} i^{2} - \frac{B a^{5} d^{2} g^{3} i^{2}}{60 b^{2}} + \frac{B a^{4} c d g^{3} i^{2}}{10 b} + \frac{B a^{3} c^{2} g^{3} i^{2}}{12} - \frac{B a^{2} b c^{3} g^{3} i^{2}}{4 d} + \frac{B a b^{2} c^{4} g^{3} i^{2}}{10 d^{2}} - \frac{B b^{3} c^{5} g^{3} i^{2}}{60 d^{3}}\right) + \left(B a^{3} c^{2} g^{3} i^{2} x + B a^{3} c d g^{3} i^{2} x^{2} + \frac{B a^{3} d^{2} g^{3} i^{2} x^{3}}{3} + \frac{3 B a^{2} b c^{2} g^{3} i^{2} x^{2}}{2} + 2 B a^{2} b c d g^{3} i^{2} x^{3} + \frac{3 B a^{2} b d^{2} g^{3} i^{2} x^{4}}{4} + B a b^{2} c^{2} g^{3} i^{2} x^{3} + \frac{3 B a b^{2} c d g^{3} i^{2} x^{4}}{2} + \frac{3 B a b^{2} d^{2} g^{3} i^{2} x^{5}}{5} + \frac{B b^{3} c^{2} g^{3} i^{2} x^{4}}{4} + \frac{2 B b^{3} c d g^{3} i^{2} x^{5}}{5} + \frac{B b^{3} d^{2} g^{3} i^{2} x^{6}}{6}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**3*d**2*g**3*i**2*x**6/6 + B*a**4*g**3*i**2*(a**2*d**2 - 6*a*b*c*d + 15*b**2*c**2)*log(x + (B*a**6*c*d**5*g**3*i**2 - 6*B*a**5*b*c**2*d**4*g**3*i**2 + B*a**5*d**4*g**3*i**2*(a**2*d**2 - 6*a*b*c*d + 15*b**2*c**2)/b + 35*B*a**4*b**2*c**3*d**3*g**3*i**2 - B*a**4*c*d**3*g**3*i**2*(a**2*d**2 - 6*a*b*c*d + 15*b**2*c**2) - 15*B*a**3*b**3*c**4*d**2*g**3*i**2 + 6*B*a**2*b**4*c**5*d*g**3*i**2 - B*a*b**5*c**6*g**3*i**2)/(B*a**6*d**6*g**3*i**2 - 6*B*a**5*b*c*d**5*g**3*i**2 + 15*B*a**4*b**2*c**2*d**4*g**3*i**2 + 20*B*a**3*b**3*c**3*d**3*g**3*i**2 - 15*B*a**2*b**4*c**4*d**2*g**3*i**2 + 6*B*a*b**5*c**5*d*g**3*i**2 - B*b**6*c**6*g**3*i**2))/(60*b**3) - B*c**3*g**3*i**2*(20*a**3*d**3 - 15*a**2*b*c*d**2 + 6*a*b**2*c**2*d - b**3*c**3)*log(x + (B*a**6*c*d**5*g**3*i**2 - 6*B*a**5*b*c**2*d**4*g**3*i**2 + 35*B*a**4*b**2*c**3*d**3*g**3*i**2 - 15*B*a**3*b**3*c**4*d**2*g**3*i**2 + 6*B*a**2*b**4*c**5*d*g**3*i**2 - B*a*b**5*c**6*g**3*i**2 - B*a*b**2*c**3*g**3*i**2*(20*a**3*d**3 - 15*a**2*b*c*d**2 + 6*a*b**2*c**2*d - b**3*c**3) + B*b**3*c**4*g**3*i**2*(20*a**3*d**3 - 15*a**2*b*c*d**2 + 6*a*b**2*c**2*d - b**3*c**3)/d)/(B*a**6*d**6*g**3*i**2 - 6*B*a**5*b*c*d**5*g**3*i**2 + 15*B*a**4*b**2*c**2*d**4*g**3*i**2 + 20*B*a**3*b**3*c**3*d**3*g**3*i**2 - 15*B*a**2*b**4*c**4*d**2*g**3*i**2 + 6*B*a*b**5*c**5*d*g**3*i**2 - B*b**6*c**6*g**3*i**2))/(60*d**4) + x**5*(3*A*a*b**2*d**2*g**3*i**2/5 + 2*A*b**3*c*d*g**3*i**2/5 + B*a*b**2*d**2*g**3*i**2/30 - B*b**3*c*d*g**3*i**2/30) + x**4*(3*A*a**2*b*d**2*g**3*i**2/4 + 3*A*a*b**2*c*d*g**3*i**2/2 + A*b**3*c**2*g**3*i**2/4 + 13*B*a**2*b*d**2*g**3*i**2/120 - B*a*b**2*c*d*g**3*i**2/20 - 7*B*b**3*c**2*g**3*i**2/120) + x**3*(A*a**3*d**2*g**3*i**2/3 + 2*A*a**2*b*c*d*g**3*i**2 + A*a*b**2*c**2*g**3*i**2 + 19*B*a**3*d**2*g**3*i**2/180 + 7*B*a**2*b*c*d*g**3*i**2/60 - 13*B*a*b**2*c**2*g**3*i**2/60 - B*b**3*c**3*g**3*i**2/(180*d)) + x**2*(A*a**3*c*d*g**3*i**2 + 3*A*a**2*b*c**2*g**3*i**2/2 + B*a**4*d**2*g**3*i**2/(120*b) + 17*B*a**3*c*d*g**3*i**2/60 - B*a**2*b*c**2*g**3*i**2/4 - B*a*b**2*c**3*g**3*i**2/(20*d) + B*b**3*c**4*g**3*i**2/(120*d**2)) + x*(A*a**3*c**2*g**3*i**2 - B*a**5*d**2*g**3*i**2/(60*b**2) + B*a**4*c*d*g**3*i**2/(10*b) + B*a**3*c**2*g**3*i**2/12 - B*a**2*b*c**3*g**3*i**2/(4*d) + B*a*b**2*c**4*g**3*i**2/(10*d**2) - B*b**3*c**5*g**3*i**2/(60*d**3)) + (B*a**3*c**2*g**3*i**2*x + B*a**3*c*d*g**3*i**2*x**2 + B*a**3*d**2*g**3*i**2*x**3/3 + 3*B*a**2*b*c**2*g**3*i**2*x**2/2 + 2*B*a**2*b*c*d*g**3*i**2*x**3 + 3*B*a**2*b*d**2*g**3*i**2*x**4/4 + B*a*b**2*c**2*g**3*i**2*x**3 + 3*B*a*b**2*c*d*g**3*i**2*x**4/2 + 3*B*a*b**2*d**2*g**3*i**2*x**5/5 + B*b**3*c**2*g**3*i**2*x**4/4 + 2*B*b**3*c*d*g**3*i**2*x**5/5 + B*b**3*d**2*g**3*i**2*x**6/6)*log(e*(a + b*x)/(c + d*x))","B",0
11,1,1266,0,7.808500," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{2} d^{2} g^{2} i^{2} x^{5}}{5} + \frac{B a^{3} g^{2} i^{2} \left(a^{2} d^{2} - 5 a b c d + 10 b^{2} c^{2}\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{2} i^{2} - 5 B a^{4} b c^{2} d^{3} g^{2} i^{2} + \frac{B a^{4} d^{3} g^{2} i^{2} \left(a^{2} d^{2} - 5 a b c d + 10 b^{2} c^{2}\right)}{b} + 20 B a^{3} b^{2} c^{3} d^{2} g^{2} i^{2} - B a^{3} c d^{2} g^{2} i^{2} \left(a^{2} d^{2} - 5 a b c d + 10 b^{2} c^{2}\right) - 5 B a^{2} b^{3} c^{4} d g^{2} i^{2} + B a b^{4} c^{5} g^{2} i^{2}}{B a^{5} d^{5} g^{2} i^{2} - 5 B a^{4} b c d^{4} g^{2} i^{2} + 10 B a^{3} b^{2} c^{2} d^{3} g^{2} i^{2} + 10 B a^{2} b^{3} c^{3} d^{2} g^{2} i^{2} - 5 B a b^{4} c^{4} d g^{2} i^{2} + B b^{5} c^{5} g^{2} i^{2}} \right)}}{30 b^{3}} - \frac{B c^{3} g^{2} i^{2} \left(10 a^{2} d^{2} - 5 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{2} i^{2} - 5 B a^{4} b c^{2} d^{3} g^{2} i^{2} + 20 B a^{3} b^{2} c^{3} d^{2} g^{2} i^{2} - 5 B a^{2} b^{3} c^{4} d g^{2} i^{2} + B a b^{4} c^{5} g^{2} i^{2} - B a b^{2} c^{3} g^{2} i^{2} \left(10 a^{2} d^{2} - 5 a b c d + b^{2} c^{2}\right) + \frac{B b^{3} c^{4} g^{2} i^{2} \left(10 a^{2} d^{2} - 5 a b c d + b^{2} c^{2}\right)}{d}}{B a^{5} d^{5} g^{2} i^{2} - 5 B a^{4} b c d^{4} g^{2} i^{2} + 10 B a^{3} b^{2} c^{2} d^{3} g^{2} i^{2} + 10 B a^{2} b^{3} c^{3} d^{2} g^{2} i^{2} - 5 B a b^{4} c^{4} d g^{2} i^{2} + B b^{5} c^{5} g^{2} i^{2}} \right)}}{30 d^{3}} + x^{4} \left(\frac{A a b d^{2} g^{2} i^{2}}{2} + \frac{A b^{2} c d g^{2} i^{2}}{2} + \frac{B a b d^{2} g^{2} i^{2}}{20} - \frac{B b^{2} c d g^{2} i^{2}}{20}\right) + x^{3} \left(\frac{A a^{2} d^{2} g^{2} i^{2}}{3} + \frac{4 A a b c d g^{2} i^{2}}{3} + \frac{A b^{2} c^{2} g^{2} i^{2}}{3} + \frac{B a^{2} d^{2} g^{2} i^{2}}{10} - \frac{B b^{2} c^{2} g^{2} i^{2}}{10}\right) + x^{2} \left(A a^{2} c d g^{2} i^{2} + A a b c^{2} g^{2} i^{2} + \frac{B a^{3} d^{2} g^{2} i^{2}}{60 b} + \frac{B a^{2} c d g^{2} i^{2}}{4} - \frac{B a b c^{2} g^{2} i^{2}}{4} - \frac{B b^{2} c^{3} g^{2} i^{2}}{60 d}\right) + x \left(A a^{2} c^{2} g^{2} i^{2} - \frac{B a^{4} d^{2} g^{2} i^{2}}{30 b^{2}} + \frac{B a^{3} c d g^{2} i^{2}}{6 b} - \frac{B a b c^{3} g^{2} i^{2}}{6 d} + \frac{B b^{2} c^{4} g^{2} i^{2}}{30 d^{2}}\right) + \left(B a^{2} c^{2} g^{2} i^{2} x + B a^{2} c d g^{2} i^{2} x^{2} + \frac{B a^{2} d^{2} g^{2} i^{2} x^{3}}{3} + B a b c^{2} g^{2} i^{2} x^{2} + \frac{4 B a b c d g^{2} i^{2} x^{3}}{3} + \frac{B a b d^{2} g^{2} i^{2} x^{4}}{2} + \frac{B b^{2} c^{2} g^{2} i^{2} x^{3}}{3} + \frac{B b^{2} c d g^{2} i^{2} x^{4}}{2} + \frac{B b^{2} d^{2} g^{2} i^{2} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**2*d**2*g**2*i**2*x**5/5 + B*a**3*g**2*i**2*(a**2*d**2 - 5*a*b*c*d + 10*b**2*c**2)*log(x + (B*a**5*c*d**4*g**2*i**2 - 5*B*a**4*b*c**2*d**3*g**2*i**2 + B*a**4*d**3*g**2*i**2*(a**2*d**2 - 5*a*b*c*d + 10*b**2*c**2)/b + 20*B*a**3*b**2*c**3*d**2*g**2*i**2 - B*a**3*c*d**2*g**2*i**2*(a**2*d**2 - 5*a*b*c*d + 10*b**2*c**2) - 5*B*a**2*b**3*c**4*d*g**2*i**2 + B*a*b**4*c**5*g**2*i**2)/(B*a**5*d**5*g**2*i**2 - 5*B*a**4*b*c*d**4*g**2*i**2 + 10*B*a**3*b**2*c**2*d**3*g**2*i**2 + 10*B*a**2*b**3*c**3*d**2*g**2*i**2 - 5*B*a*b**4*c**4*d*g**2*i**2 + B*b**5*c**5*g**2*i**2))/(30*b**3) - B*c**3*g**2*i**2*(10*a**2*d**2 - 5*a*b*c*d + b**2*c**2)*log(x + (B*a**5*c*d**4*g**2*i**2 - 5*B*a**4*b*c**2*d**3*g**2*i**2 + 20*B*a**3*b**2*c**3*d**2*g**2*i**2 - 5*B*a**2*b**3*c**4*d*g**2*i**2 + B*a*b**4*c**5*g**2*i**2 - B*a*b**2*c**3*g**2*i**2*(10*a**2*d**2 - 5*a*b*c*d + b**2*c**2) + B*b**3*c**4*g**2*i**2*(10*a**2*d**2 - 5*a*b*c*d + b**2*c**2)/d)/(B*a**5*d**5*g**2*i**2 - 5*B*a**4*b*c*d**4*g**2*i**2 + 10*B*a**3*b**2*c**2*d**3*g**2*i**2 + 10*B*a**2*b**3*c**3*d**2*g**2*i**2 - 5*B*a*b**4*c**4*d*g**2*i**2 + B*b**5*c**5*g**2*i**2))/(30*d**3) + x**4*(A*a*b*d**2*g**2*i**2/2 + A*b**2*c*d*g**2*i**2/2 + B*a*b*d**2*g**2*i**2/20 - B*b**2*c*d*g**2*i**2/20) + x**3*(A*a**2*d**2*g**2*i**2/3 + 4*A*a*b*c*d*g**2*i**2/3 + A*b**2*c**2*g**2*i**2/3 + B*a**2*d**2*g**2*i**2/10 - B*b**2*c**2*g**2*i**2/10) + x**2*(A*a**2*c*d*g**2*i**2 + A*a*b*c**2*g**2*i**2 + B*a**3*d**2*g**2*i**2/(60*b) + B*a**2*c*d*g**2*i**2/4 - B*a*b*c**2*g**2*i**2/4 - B*b**2*c**3*g**2*i**2/(60*d)) + x*(A*a**2*c**2*g**2*i**2 - B*a**4*d**2*g**2*i**2/(30*b**2) + B*a**3*c*d*g**2*i**2/(6*b) - B*a*b*c**3*g**2*i**2/(6*d) + B*b**2*c**4*g**2*i**2/(30*d**2)) + (B*a**2*c**2*g**2*i**2*x + B*a**2*c*d*g**2*i**2*x**2 + B*a**2*d**2*g**2*i**2*x**3/3 + B*a*b*c**2*g**2*i**2*x**2 + 4*B*a*b*c*d*g**2*i**2*x**3/3 + B*a*b*d**2*g**2*i**2*x**4/2 + B*b**2*c**2*g**2*i**2*x**3/3 + B*b**2*c*d*g**2*i**2*x**4/2 + B*b**2*d**2*g**2*i**2*x**5/5)*log(e*(a + b*x)/(c + d*x))","B",0
12,1,850,0,5.074525," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b d^{2} g i^{2} x^{4}}{4} + \frac{B a^{2} g i^{2} \left(a^{2} d^{2} - 4 a b c d + 6 b^{2} c^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g i^{2} - 4 B a^{3} b c^{2} d^{2} g i^{2} + \frac{B a^{3} d^{2} g i^{2} \left(a^{2} d^{2} - 4 a b c d + 6 b^{2} c^{2}\right)}{b} + 10 B a^{2} b^{2} c^{3} d g i^{2} - B a^{2} c d g i^{2} \left(a^{2} d^{2} - 4 a b c d + 6 b^{2} c^{2}\right) - B a b^{3} c^{4} g i^{2}}{B a^{4} d^{4} g i^{2} - 4 B a^{3} b c d^{3} g i^{2} + 6 B a^{2} b^{2} c^{2} d^{2} g i^{2} + 4 B a b^{3} c^{3} d g i^{2} - B b^{4} c^{4} g i^{2}} \right)}}{12 b^{3}} - \frac{B c^{3} g i^{2} \left(4 a d - b c\right) \log{\left(x + \frac{B a^{4} c d^{3} g i^{2} - 4 B a^{3} b c^{2} d^{2} g i^{2} + 10 B a^{2} b^{2} c^{3} d g i^{2} - B a b^{3} c^{4} g i^{2} - B a b^{2} c^{3} g i^{2} \left(4 a d - b c\right) + \frac{B b^{3} c^{4} g i^{2} \left(4 a d - b c\right)}{d}}{B a^{4} d^{4} g i^{2} - 4 B a^{3} b c d^{3} g i^{2} + 6 B a^{2} b^{2} c^{2} d^{2} g i^{2} + 4 B a b^{3} c^{3} d g i^{2} - B b^{4} c^{4} g i^{2}} \right)}}{12 d^{2}} + x^{3} \left(\frac{A a d^{2} g i^{2}}{3} + \frac{2 A b c d g i^{2}}{3} + \frac{B a d^{2} g i^{2}}{12} - \frac{B b c d g i^{2}}{12}\right) + x^{2} \left(A a c d g i^{2} + \frac{A b c^{2} g i^{2}}{2} + \frac{B a^{2} d^{2} g i^{2}}{24 b} + \frac{B a c d g i^{2}}{6} - \frac{5 B b c^{2} g i^{2}}{24}\right) + x \left(A a c^{2} g i^{2} - \frac{B a^{3} d^{2} g i^{2}}{12 b^{2}} + \frac{B a^{2} c d g i^{2}}{3 b} - \frac{B a c^{2} g i^{2}}{6} - \frac{B b c^{3} g i^{2}}{12 d}\right) + \left(B a c^{2} g i^{2} x + B a c d g i^{2} x^{2} + \frac{B a d^{2} g i^{2} x^{3}}{3} + \frac{B b c^{2} g i^{2} x^{2}}{2} + \frac{2 B b c d g i^{2} x^{3}}{3} + \frac{B b d^{2} g i^{2} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b*d**2*g*i**2*x**4/4 + B*a**2*g*i**2*(a**2*d**2 - 4*a*b*c*d + 6*b**2*c**2)*log(x + (B*a**4*c*d**3*g*i**2 - 4*B*a**3*b*c**2*d**2*g*i**2 + B*a**3*d**2*g*i**2*(a**2*d**2 - 4*a*b*c*d + 6*b**2*c**2)/b + 10*B*a**2*b**2*c**3*d*g*i**2 - B*a**2*c*d*g*i**2*(a**2*d**2 - 4*a*b*c*d + 6*b**2*c**2) - B*a*b**3*c**4*g*i**2)/(B*a**4*d**4*g*i**2 - 4*B*a**3*b*c*d**3*g*i**2 + 6*B*a**2*b**2*c**2*d**2*g*i**2 + 4*B*a*b**3*c**3*d*g*i**2 - B*b**4*c**4*g*i**2))/(12*b**3) - B*c**3*g*i**2*(4*a*d - b*c)*log(x + (B*a**4*c*d**3*g*i**2 - 4*B*a**3*b*c**2*d**2*g*i**2 + 10*B*a**2*b**2*c**3*d*g*i**2 - B*a*b**3*c**4*g*i**2 - B*a*b**2*c**3*g*i**2*(4*a*d - b*c) + B*b**3*c**4*g*i**2*(4*a*d - b*c)/d)/(B*a**4*d**4*g*i**2 - 4*B*a**3*b*c*d**3*g*i**2 + 6*B*a**2*b**2*c**2*d**2*g*i**2 + 4*B*a*b**3*c**3*d*g*i**2 - B*b**4*c**4*g*i**2))/(12*d**2) + x**3*(A*a*d**2*g*i**2/3 + 2*A*b*c*d*g*i**2/3 + B*a*d**2*g*i**2/12 - B*b*c*d*g*i**2/12) + x**2*(A*a*c*d*g*i**2 + A*b*c**2*g*i**2/2 + B*a**2*d**2*g*i**2/(24*b) + B*a*c*d*g*i**2/6 - 5*B*b*c**2*g*i**2/24) + x*(A*a*c**2*g*i**2 - B*a**3*d**2*g*i**2/(12*b**2) + B*a**2*c*d*g*i**2/(3*b) - B*a*c**2*g*i**2/6 - B*b*c**3*g*i**2/(12*d)) + (B*a*c**2*g*i**2*x + B*a*c*d*g*i**2*x**2 + B*a*d**2*g*i**2*x**3/3 + B*b*c**2*g*i**2*x**2/2 + 2*B*b*c*d*g*i**2*x**3/3 + B*b*d**2*g*i**2*x**4/4)*log(e*(a + b*x)/(c + d*x))","B",0
13,1,491,0,2.985914," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A d^{2} i^{2} x^{3}}{3} + \frac{B a i^{2} \left(a^{2} d^{2} - 3 a b c d + 3 b^{2} c^{2}\right) \log{\left(x + \frac{B a^{3} c d^{2} i^{2} - 3 B a^{2} b c^{2} d i^{2} + \frac{B a^{2} d i^{2} \left(a^{2} d^{2} - 3 a b c d + 3 b^{2} c^{2}\right)}{b} + 4 B a b^{2} c^{3} i^{2} - B a c i^{2} \left(a^{2} d^{2} - 3 a b c d + 3 b^{2} c^{2}\right)}{B a^{3} d^{3} i^{2} - 3 B a^{2} b c d^{2} i^{2} + 3 B a b^{2} c^{2} d i^{2} + B b^{3} c^{3} i^{2}} \right)}}{3 b^{3}} - \frac{B c^{3} i^{2} \log{\left(x + \frac{B a^{3} c d^{2} i^{2} - 3 B a^{2} b c^{2} d i^{2} + 3 B a b^{2} c^{3} i^{2} + \frac{B b^{3} c^{4} i^{2}}{d}}{B a^{3} d^{3} i^{2} - 3 B a^{2} b c d^{2} i^{2} + 3 B a b^{2} c^{2} d i^{2} + B b^{3} c^{3} i^{2}} \right)}}{3 d} + x^{2} \left(A c d i^{2} + \frac{B a d^{2} i^{2}}{6 b} - \frac{B c d i^{2}}{6}\right) + x \left(A c^{2} i^{2} - \frac{B a^{2} d^{2} i^{2}}{3 b^{2}} + \frac{B a c d i^{2}}{b} - \frac{2 B c^{2} i^{2}}{3}\right) + \left(B c^{2} i^{2} x + B c d i^{2} x^{2} + \frac{B d^{2} i^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*d**2*i**2*x**3/3 + B*a*i**2*(a**2*d**2 - 3*a*b*c*d + 3*b**2*c**2)*log(x + (B*a**3*c*d**2*i**2 - 3*B*a**2*b*c**2*d*i**2 + B*a**2*d*i**2*(a**2*d**2 - 3*a*b*c*d + 3*b**2*c**2)/b + 4*B*a*b**2*c**3*i**2 - B*a*c*i**2*(a**2*d**2 - 3*a*b*c*d + 3*b**2*c**2))/(B*a**3*d**3*i**2 - 3*B*a**2*b*c*d**2*i**2 + 3*B*a*b**2*c**2*d*i**2 + B*b**3*c**3*i**2))/(3*b**3) - B*c**3*i**2*log(x + (B*a**3*c*d**2*i**2 - 3*B*a**2*b*c**2*d*i**2 + 3*B*a*b**2*c**3*i**2 + B*b**3*c**4*i**2/d)/(B*a**3*d**3*i**2 - 3*B*a**2*b*c*d**2*i**2 + 3*B*a*b**2*c**2*d*i**2 + B*b**3*c**3*i**2))/(3*d) + x**2*(A*c*d*i**2 + B*a*d**2*i**2/(6*b) - B*c*d*i**2/6) + x*(A*c**2*i**2 - B*a**2*d**2*i**2/(3*b**2) + B*a*c*d*i**2/b - 2*B*c**2*i**2/3) + (B*c**2*i**2*x + B*c*d*i**2*x**2 + B*d**2*i**2*x**3/3)*log(e*(a + b*x)/(c + d*x))","B",0
14,0,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x)","\frac{i^{2} \left(\int \frac{A c^{2}}{a + b x}\, dx + \int \frac{A d^{2} x^{2}}{a + b x}\, dx + \int \frac{B c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{2 A c d x}{a + b x}\, dx + \int \frac{B d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{2 B c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i**2*(Integral(A*c**2/(a + b*x), x) + Integral(A*d**2*x**2/(a + b*x), x) + Integral(B*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(2*A*c*d*x/(a + b*x), x) + Integral(B*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(2*B*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
15,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,0,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3,x)","\frac{i^{2} \left(\int \frac{A c^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{A d^{2} x^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A c d x}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 B c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx\right)}{g^{3}}"," ",0,"i**2*(Integral(A*c**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(A*d**2*x**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A*c*d*x/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*B*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x))/g**3","F",0
17,1,614,0,26.251891," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4,x)","- \frac{B d^{3} i^{2} \log{\left(x + \frac{- \frac{B a^{2} d^{5} i^{2}}{a d - b c} + \frac{2 B a b c d^{4} i^{2}}{a d - b c} + B a d^{4} i^{2} - \frac{B b^{2} c^{2} d^{3} i^{2}}{a d - b c} + B b c d^{3} i^{2}}{2 B b d^{4} i^{2}} \right)}}{3 b^{3} g^{4} \left(a d - b c\right)} + \frac{B d^{3} i^{2} \log{\left(x + \frac{\frac{B a^{2} d^{5} i^{2}}{a d - b c} - \frac{2 B a b c d^{4} i^{2}}{a d - b c} + B a d^{4} i^{2} + \frac{B b^{2} c^{2} d^{3} i^{2}}{a d - b c} + B b c d^{3} i^{2}}{2 B b d^{4} i^{2}} \right)}}{3 b^{3} g^{4} \left(a d - b c\right)} + \frac{- 3 A a^{2} d^{2} i^{2} - 3 A a b c d i^{2} - 3 A b^{2} c^{2} i^{2} - B a^{2} d^{2} i^{2} - B a b c d i^{2} - B b^{2} c^{2} i^{2} + x^{2} \left(- 9 A b^{2} d^{2} i^{2} - 3 B b^{2} d^{2} i^{2}\right) + x \left(- 9 A a b d^{2} i^{2} - 9 A b^{2} c d i^{2} - 3 B a b d^{2} i^{2} - 3 B b^{2} c d i^{2}\right)}{9 a^{3} b^{3} g^{4} + 27 a^{2} b^{4} g^{4} x + 27 a b^{5} g^{4} x^{2} + 9 b^{6} g^{4} x^{3}} + \frac{\left(- B a^{2} d^{2} i^{2} - B a b c d i^{2} - 3 B a b d^{2} i^{2} x - B b^{2} c^{2} i^{2} - 3 B b^{2} c d i^{2} x - 3 B b^{2} d^{2} i^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{3 a^{3} b^{3} g^{4} + 9 a^{2} b^{4} g^{4} x + 9 a b^{5} g^{4} x^{2} + 3 b^{6} g^{4} x^{3}}"," ",0,"-B*d**3*i**2*log(x + (-B*a**2*d**5*i**2/(a*d - b*c) + 2*B*a*b*c*d**4*i**2/(a*d - b*c) + B*a*d**4*i**2 - B*b**2*c**2*d**3*i**2/(a*d - b*c) + B*b*c*d**3*i**2)/(2*B*b*d**4*i**2))/(3*b**3*g**4*(a*d - b*c)) + B*d**3*i**2*log(x + (B*a**2*d**5*i**2/(a*d - b*c) - 2*B*a*b*c*d**4*i**2/(a*d - b*c) + B*a*d**4*i**2 + B*b**2*c**2*d**3*i**2/(a*d - b*c) + B*b*c*d**3*i**2)/(2*B*b*d**4*i**2))/(3*b**3*g**4*(a*d - b*c)) + (-3*A*a**2*d**2*i**2 - 3*A*a*b*c*d*i**2 - 3*A*b**2*c**2*i**2 - B*a**2*d**2*i**2 - B*a*b*c*d*i**2 - B*b**2*c**2*i**2 + x**2*(-9*A*b**2*d**2*i**2 - 3*B*b**2*d**2*i**2) + x*(-9*A*a*b*d**2*i**2 - 9*A*b**2*c*d*i**2 - 3*B*a*b*d**2*i**2 - 3*B*b**2*c*d*i**2))/(9*a**3*b**3*g**4 + 27*a**2*b**4*g**4*x + 27*a*b**5*g**4*x**2 + 9*b**6*g**4*x**3) + (-B*a**2*d**2*i**2 - B*a*b*c*d*i**2 - 3*B*a*b*d**2*i**2*x - B*b**2*c**2*i**2 - 3*B*b**2*c*d*i**2*x - 3*B*b**2*d**2*i**2*x**2)*log(e*(a + b*x)/(c + d*x))/(3*a**3*b**3*g**4 + 9*a**2*b**4*g**4*x + 9*a*b**5*g**4*x**2 + 3*b**6*g**4*x**3)","B",0
18,1,928,0,47.654530," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**5,x)","- \frac{B d^{4} i^{2} \log{\left(x + \frac{- \frac{B a^{3} d^{7} i^{2}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{6} i^{2}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{5} i^{2}}{\left(a d - b c\right)^{2}} + B a d^{5} i^{2} + \frac{B b^{3} c^{3} d^{4} i^{2}}{\left(a d - b c\right)^{2}} + B b c d^{4} i^{2}}{2 B b d^{5} i^{2}} \right)}}{12 b^{3} g^{5} \left(a d - b c\right)^{2}} + \frac{B d^{4} i^{2} \log{\left(x + \frac{\frac{B a^{3} d^{7} i^{2}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{6} i^{2}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{5} i^{2}}{\left(a d - b c\right)^{2}} + B a d^{5} i^{2} - \frac{B b^{3} c^{3} d^{4} i^{2}}{\left(a d - b c\right)^{2}} + B b c d^{4} i^{2}}{2 B b d^{5} i^{2}} \right)}}{12 b^{3} g^{5} \left(a d - b c\right)^{2}} + \frac{- 12 A a^{3} d^{3} i^{2} - 12 A a^{2} b c d^{2} i^{2} - 12 A a b^{2} c^{2} d i^{2} + 36 A b^{3} c^{3} i^{2} - 7 B a^{3} d^{3} i^{2} - 7 B a^{2} b c d^{2} i^{2} - 7 B a b^{2} c^{2} d i^{2} + 9 B b^{3} c^{3} i^{2} - 12 B b^{3} d^{3} i^{2} x^{3} + x^{2} \left(- 72 A a b^{2} d^{3} i^{2} + 72 A b^{3} c d^{2} i^{2} - 42 B a b^{2} d^{3} i^{2} + 6 B b^{3} c d^{2} i^{2}\right) + x \left(- 48 A a^{2} b d^{3} i^{2} - 48 A a b^{2} c d^{2} i^{2} + 96 A b^{3} c^{2} d i^{2} - 28 B a^{2} b d^{3} i^{2} - 28 B a b^{2} c d^{2} i^{2} + 20 B b^{3} c^{2} d i^{2}\right)}{144 a^{5} b^{3} d g^{5} - 144 a^{4} b^{4} c g^{5} + x^{4} \left(144 a b^{7} d g^{5} - 144 b^{8} c g^{5}\right) + x^{3} \left(576 a^{2} b^{6} d g^{5} - 576 a b^{7} c g^{5}\right) + x^{2} \left(864 a^{3} b^{5} d g^{5} - 864 a^{2} b^{6} c g^{5}\right) + x \left(576 a^{4} b^{4} d g^{5} - 576 a^{3} b^{5} c g^{5}\right)} + \frac{\left(- B a^{2} d^{2} i^{2} - 2 B a b c d i^{2} - 4 B a b d^{2} i^{2} x - 3 B b^{2} c^{2} i^{2} - 8 B b^{2} c d i^{2} x - 6 B b^{2} d^{2} i^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{12 a^{4} b^{3} g^{5} + 48 a^{3} b^{4} g^{5} x + 72 a^{2} b^{5} g^{5} x^{2} + 48 a b^{6} g^{5} x^{3} + 12 b^{7} g^{5} x^{4}}"," ",0,"-B*d**4*i**2*log(x + (-B*a**3*d**7*i**2/(a*d - b*c)**2 + 3*B*a**2*b*c*d**6*i**2/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**5*i**2/(a*d - b*c)**2 + B*a*d**5*i**2 + B*b**3*c**3*d**4*i**2/(a*d - b*c)**2 + B*b*c*d**4*i**2)/(2*B*b*d**5*i**2))/(12*b**3*g**5*(a*d - b*c)**2) + B*d**4*i**2*log(x + (B*a**3*d**7*i**2/(a*d - b*c)**2 - 3*B*a**2*b*c*d**6*i**2/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**5*i**2/(a*d - b*c)**2 + B*a*d**5*i**2 - B*b**3*c**3*d**4*i**2/(a*d - b*c)**2 + B*b*c*d**4*i**2)/(2*B*b*d**5*i**2))/(12*b**3*g**5*(a*d - b*c)**2) + (-12*A*a**3*d**3*i**2 - 12*A*a**2*b*c*d**2*i**2 - 12*A*a*b**2*c**2*d*i**2 + 36*A*b**3*c**3*i**2 - 7*B*a**3*d**3*i**2 - 7*B*a**2*b*c*d**2*i**2 - 7*B*a*b**2*c**2*d*i**2 + 9*B*b**3*c**3*i**2 - 12*B*b**3*d**3*i**2*x**3 + x**2*(-72*A*a*b**2*d**3*i**2 + 72*A*b**3*c*d**2*i**2 - 42*B*a*b**2*d**3*i**2 + 6*B*b**3*c*d**2*i**2) + x*(-48*A*a**2*b*d**3*i**2 - 48*A*a*b**2*c*d**2*i**2 + 96*A*b**3*c**2*d*i**2 - 28*B*a**2*b*d**3*i**2 - 28*B*a*b**2*c*d**2*i**2 + 20*B*b**3*c**2*d*i**2))/(144*a**5*b**3*d*g**5 - 144*a**4*b**4*c*g**5 + x**4*(144*a*b**7*d*g**5 - 144*b**8*c*g**5) + x**3*(576*a**2*b**6*d*g**5 - 576*a*b**7*c*g**5) + x**2*(864*a**3*b**5*d*g**5 - 864*a**2*b**6*c*g**5) + x*(576*a**4*b**4*d*g**5 - 576*a**3*b**5*c*g**5)) + (-B*a**2*d**2*i**2 - 2*B*a*b*c*d*i**2 - 4*B*a*b*d**2*i**2*x - 3*B*b**2*c**2*i**2 - 8*B*b**2*c*d*i**2*x - 6*B*b**2*d**2*i**2*x**2)*log(e*(a + b*x)/(c + d*x))/(12*a**4*b**3*g**5 + 48*a**3*b**4*g**5*x + 72*a**2*b**5*g**5*x**2 + 48*a*b**6*g**5*x**3 + 12*b**7*g**5*x**4)","B",0
19,1,1300,0,92.226866," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**6,x)","- \frac{B d^{5} i^{2} \log{\left(x + \frac{- \frac{B a^{4} d^{9} i^{2}}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{8} i^{2}}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{7} i^{2}}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{6} i^{2}}{\left(a d - b c\right)^{3}} + B a d^{6} i^{2} - \frac{B b^{4} c^{4} d^{5} i^{2}}{\left(a d - b c\right)^{3}} + B b c d^{5} i^{2}}{2 B b d^{6} i^{2}} \right)}}{30 b^{3} g^{6} \left(a d - b c\right)^{3}} + \frac{B d^{5} i^{2} \log{\left(x + \frac{\frac{B a^{4} d^{9} i^{2}}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{8} i^{2}}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{7} i^{2}}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{6} i^{2}}{\left(a d - b c\right)^{3}} + B a d^{6} i^{2} + \frac{B b^{4} c^{4} d^{5} i^{2}}{\left(a d - b c\right)^{3}} + B b c d^{5} i^{2}}{2 B b d^{6} i^{2}} \right)}}{30 b^{3} g^{6} \left(a d - b c\right)^{3}} + \frac{- 60 A a^{4} d^{4} i^{2} - 60 A a^{3} b c d^{3} i^{2} - 60 A a^{2} b^{2} c^{2} d^{2} i^{2} + 540 A a b^{3} c^{3} d i^{2} - 360 A b^{4} c^{4} i^{2} - 47 B a^{4} d^{4} i^{2} - 47 B a^{3} b c d^{3} i^{2} - 47 B a^{2} b^{2} c^{2} d^{2} i^{2} + 153 B a b^{3} c^{3} d i^{2} - 72 B b^{4} c^{4} i^{2} - 60 B b^{4} d^{4} i^{2} x^{4} + x^{3} \left(- 270 B a b^{3} d^{4} i^{2} + 30 B b^{4} c d^{3} i^{2}\right) + x^{2} \left(- 600 A a^{2} b^{2} d^{4} i^{2} + 1200 A a b^{3} c d^{3} i^{2} - 600 A b^{4} c^{2} d^{2} i^{2} - 470 B a^{2} b^{2} d^{4} i^{2} + 130 B a b^{3} c d^{3} i^{2} - 20 B b^{4} c^{2} d^{2} i^{2}\right) + x \left(- 300 A a^{3} b d^{4} i^{2} - 300 A a^{2} b^{2} c d^{3} i^{2} + 1500 A a b^{3} c^{2} d^{2} i^{2} - 900 A b^{4} c^{3} d i^{2} - 235 B a^{3} b d^{4} i^{2} - 235 B a^{2} b^{2} c d^{3} i^{2} + 365 B a b^{3} c^{2} d^{2} i^{2} - 135 B b^{4} c^{3} d i^{2}\right)}{1800 a^{7} b^{3} d^{2} g^{6} - 3600 a^{6} b^{4} c d g^{6} + 1800 a^{5} b^{5} c^{2} g^{6} + x^{5} \left(1800 a^{2} b^{8} d^{2} g^{6} - 3600 a b^{9} c d g^{6} + 1800 b^{10} c^{2} g^{6}\right) + x^{4} \left(9000 a^{3} b^{7} d^{2} g^{6} - 18000 a^{2} b^{8} c d g^{6} + 9000 a b^{9} c^{2} g^{6}\right) + x^{3} \left(18000 a^{4} b^{6} d^{2} g^{6} - 36000 a^{3} b^{7} c d g^{6} + 18000 a^{2} b^{8} c^{2} g^{6}\right) + x^{2} \left(18000 a^{5} b^{5} d^{2} g^{6} - 36000 a^{4} b^{6} c d g^{6} + 18000 a^{3} b^{7} c^{2} g^{6}\right) + x \left(9000 a^{6} b^{4} d^{2} g^{6} - 18000 a^{5} b^{5} c d g^{6} + 9000 a^{4} b^{6} c^{2} g^{6}\right)} + \frac{\left(- B a^{2} d^{2} i^{2} - 3 B a b c d i^{2} - 5 B a b d^{2} i^{2} x - 6 B b^{2} c^{2} i^{2} - 15 B b^{2} c d i^{2} x - 10 B b^{2} d^{2} i^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{30 a^{5} b^{3} g^{6} + 150 a^{4} b^{4} g^{6} x + 300 a^{3} b^{5} g^{6} x^{2} + 300 a^{2} b^{6} g^{6} x^{3} + 150 a b^{7} g^{6} x^{4} + 30 b^{8} g^{6} x^{5}}"," ",0,"-B*d**5*i**2*log(x + (-B*a**4*d**9*i**2/(a*d - b*c)**3 + 4*B*a**3*b*c*d**8*i**2/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**7*i**2/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**6*i**2/(a*d - b*c)**3 + B*a*d**6*i**2 - B*b**4*c**4*d**5*i**2/(a*d - b*c)**3 + B*b*c*d**5*i**2)/(2*B*b*d**6*i**2))/(30*b**3*g**6*(a*d - b*c)**3) + B*d**5*i**2*log(x + (B*a**4*d**9*i**2/(a*d - b*c)**3 - 4*B*a**3*b*c*d**8*i**2/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**7*i**2/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**6*i**2/(a*d - b*c)**3 + B*a*d**6*i**2 + B*b**4*c**4*d**5*i**2/(a*d - b*c)**3 + B*b*c*d**5*i**2)/(2*B*b*d**6*i**2))/(30*b**3*g**6*(a*d - b*c)**3) + (-60*A*a**4*d**4*i**2 - 60*A*a**3*b*c*d**3*i**2 - 60*A*a**2*b**2*c**2*d**2*i**2 + 540*A*a*b**3*c**3*d*i**2 - 360*A*b**4*c**4*i**2 - 47*B*a**4*d**4*i**2 - 47*B*a**3*b*c*d**3*i**2 - 47*B*a**2*b**2*c**2*d**2*i**2 + 153*B*a*b**3*c**3*d*i**2 - 72*B*b**4*c**4*i**2 - 60*B*b**4*d**4*i**2*x**4 + x**3*(-270*B*a*b**3*d**4*i**2 + 30*B*b**4*c*d**3*i**2) + x**2*(-600*A*a**2*b**2*d**4*i**2 + 1200*A*a*b**3*c*d**3*i**2 - 600*A*b**4*c**2*d**2*i**2 - 470*B*a**2*b**2*d**4*i**2 + 130*B*a*b**3*c*d**3*i**2 - 20*B*b**4*c**2*d**2*i**2) + x*(-300*A*a**3*b*d**4*i**2 - 300*A*a**2*b**2*c*d**3*i**2 + 1500*A*a*b**3*c**2*d**2*i**2 - 900*A*b**4*c**3*d*i**2 - 235*B*a**3*b*d**4*i**2 - 235*B*a**2*b**2*c*d**3*i**2 + 365*B*a*b**3*c**2*d**2*i**2 - 135*B*b**4*c**3*d*i**2))/(1800*a**7*b**3*d**2*g**6 - 3600*a**6*b**4*c*d*g**6 + 1800*a**5*b**5*c**2*g**6 + x**5*(1800*a**2*b**8*d**2*g**6 - 3600*a*b**9*c*d*g**6 + 1800*b**10*c**2*g**6) + x**4*(9000*a**3*b**7*d**2*g**6 - 18000*a**2*b**8*c*d*g**6 + 9000*a*b**9*c**2*g**6) + x**3*(18000*a**4*b**6*d**2*g**6 - 36000*a**3*b**7*c*d*g**6 + 18000*a**2*b**8*c**2*g**6) + x**2*(18000*a**5*b**5*d**2*g**6 - 36000*a**4*b**6*c*d*g**6 + 18000*a**3*b**7*c**2*g**6) + x*(9000*a**6*b**4*d**2*g**6 - 18000*a**5*b**5*c*d*g**6 + 9000*a**4*b**6*c**2*g**6)) + (-B*a**2*d**2*i**2 - 3*B*a*b*c*d*i**2 - 5*B*a*b*d**2*i**2*x - 6*B*b**2*c**2*i**2 - 15*B*b**2*c*d*i**2*x - 10*B*b**2*d**2*i**2*x**2)*log(e*(a + b*x)/(c + d*x))/(30*a**5*b**3*g**6 + 150*a**4*b**4*g**6*x + 300*a**3*b**5*g**6*x**2 + 300*a**2*b**6*g**6*x**3 + 150*a*b**7*g**6*x**4 + 30*b**8*g**6*x**5)","B",0
20,1,2161,0,18.758813," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{3} d^{3} g^{3} i^{3} x^{7}}{7} - \frac{B a^{4} g^{3} i^{3} \left(a^{3} d^{3} - 7 a^{2} b c d^{2} + 21 a b^{2} c^{2} d - 35 b^{3} c^{3}\right) \log{\left(x + \frac{B a^{7} c d^{6} g^{3} i^{3} - 7 B a^{6} b c^{2} d^{5} g^{3} i^{3} + 21 B a^{5} b^{2} c^{3} d^{4} g^{3} i^{3} + \frac{B a^{5} d^{4} g^{3} i^{3} \left(a^{3} d^{3} - 7 a^{2} b c d^{2} + 21 a b^{2} c^{2} d - 35 b^{3} c^{3}\right)}{b} - 70 B a^{4} b^{3} c^{4} d^{3} g^{3} i^{3} - B a^{4} c d^{3} g^{3} i^{3} \left(a^{3} d^{3} - 7 a^{2} b c d^{2} + 21 a b^{2} c^{2} d - 35 b^{3} c^{3}\right) + 21 B a^{3} b^{4} c^{5} d^{2} g^{3} i^{3} - 7 B a^{2} b^{5} c^{6} d g^{3} i^{3} + B a b^{6} c^{7} g^{3} i^{3}}{B a^{7} d^{7} g^{3} i^{3} - 7 B a^{6} b c d^{6} g^{3} i^{3} + 21 B a^{5} b^{2} c^{2} d^{5} g^{3} i^{3} - 35 B a^{4} b^{3} c^{3} d^{4} g^{3} i^{3} - 35 B a^{3} b^{4} c^{4} d^{3} g^{3} i^{3} + 21 B a^{2} b^{5} c^{5} d^{2} g^{3} i^{3} - 7 B a b^{6} c^{6} d g^{3} i^{3} + B b^{7} c^{7} g^{3} i^{3}} \right)}}{140 b^{4}} - \frac{B c^{4} g^{3} i^{3} \left(35 a^{3} d^{3} - 21 a^{2} b c d^{2} + 7 a b^{2} c^{2} d - b^{3} c^{3}\right) \log{\left(x + \frac{B a^{7} c d^{6} g^{3} i^{3} - 7 B a^{6} b c^{2} d^{5} g^{3} i^{3} + 21 B a^{5} b^{2} c^{3} d^{4} g^{3} i^{3} - 70 B a^{4} b^{3} c^{4} d^{3} g^{3} i^{3} + 21 B a^{3} b^{4} c^{5} d^{2} g^{3} i^{3} - 7 B a^{2} b^{5} c^{6} d g^{3} i^{3} + B a b^{6} c^{7} g^{3} i^{3} + B a b^{3} c^{4} g^{3} i^{3} \left(35 a^{3} d^{3} - 21 a^{2} b c d^{2} + 7 a b^{2} c^{2} d - b^{3} c^{3}\right) - \frac{B b^{4} c^{5} g^{3} i^{3} \left(35 a^{3} d^{3} - 21 a^{2} b c d^{2} + 7 a b^{2} c^{2} d - b^{3} c^{3}\right)}{d}}{B a^{7} d^{7} g^{3} i^{3} - 7 B a^{6} b c d^{6} g^{3} i^{3} + 21 B a^{5} b^{2} c^{2} d^{5} g^{3} i^{3} - 35 B a^{4} b^{3} c^{3} d^{4} g^{3} i^{3} - 35 B a^{3} b^{4} c^{4} d^{3} g^{3} i^{3} + 21 B a^{2} b^{5} c^{5} d^{2} g^{3} i^{3} - 7 B a b^{6} c^{6} d g^{3} i^{3} + B b^{7} c^{7} g^{3} i^{3}} \right)}}{140 d^{4}} + x^{6} \left(\frac{A a b^{2} d^{3} g^{3} i^{3}}{2} + \frac{A b^{3} c d^{2} g^{3} i^{3}}{2} + \frac{B a b^{2} d^{3} g^{3} i^{3}}{42} - \frac{B b^{3} c d^{2} g^{3} i^{3}}{42}\right) + x^{5} \left(\frac{3 A a^{2} b d^{3} g^{3} i^{3}}{5} + \frac{9 A a b^{2} c d^{2} g^{3} i^{3}}{5} + \frac{3 A b^{3} c^{2} d g^{3} i^{3}}{5} + \frac{B a^{2} b d^{3} g^{3} i^{3}}{14} - \frac{B b^{3} c^{2} d g^{3} i^{3}}{14}\right) + x^{4} \left(\frac{A a^{3} d^{3} g^{3} i^{3}}{4} + \frac{9 A a^{2} b c d^{2} g^{3} i^{3}}{4} + \frac{9 A a b^{2} c^{2} d g^{3} i^{3}}{4} + \frac{A b^{3} c^{3} g^{3} i^{3}}{4} + \frac{17 B a^{3} d^{3} g^{3} i^{3}}{280} + \frac{7 B a^{2} b c d^{2} g^{3} i^{3}}{40} - \frac{7 B a b^{2} c^{2} d g^{3} i^{3}}{40} - \frac{17 B b^{3} c^{3} g^{3} i^{3}}{280}\right) + x^{3} \left(A a^{3} c d^{2} g^{3} i^{3} + 3 A a^{2} b c^{2} d g^{3} i^{3} + A a b^{2} c^{3} g^{3} i^{3} + \frac{B a^{4} d^{3} g^{3} i^{3}}{420 b} + \frac{7 B a^{3} c d^{2} g^{3} i^{3}}{30} - \frac{7 B a b^{2} c^{3} g^{3} i^{3}}{30} - \frac{B b^{3} c^{4} g^{3} i^{3}}{420 d}\right) + x^{2} \left(\frac{3 A a^{3} c^{2} d g^{3} i^{3}}{2} + \frac{3 A a^{2} b c^{3} g^{3} i^{3}}{2} - \frac{B a^{5} d^{3} g^{3} i^{3}}{280 b^{2}} + \frac{B a^{4} c d^{2} g^{3} i^{3}}{40 b} + \frac{3 B a^{3} c^{2} d g^{3} i^{3}}{10} - \frac{3 B a^{2} b c^{3} g^{3} i^{3}}{10} - \frac{B a b^{2} c^{4} g^{3} i^{3}}{40 d} + \frac{B b^{3} c^{5} g^{3} i^{3}}{280 d^{2}}\right) + x \left(A a^{3} c^{3} g^{3} i^{3} + \frac{B a^{6} d^{3} g^{3} i^{3}}{140 b^{3}} - \frac{B a^{5} c d^{2} g^{3} i^{3}}{20 b^{2}} + \frac{3 B a^{4} c^{2} d g^{3} i^{3}}{20 b} - \frac{3 B a^{2} b c^{4} g^{3} i^{3}}{20 d} + \frac{B a b^{2} c^{5} g^{3} i^{3}}{20 d^{2}} - \frac{B b^{3} c^{6} g^{3} i^{3}}{140 d^{3}}\right) + \left(B a^{3} c^{3} g^{3} i^{3} x + \frac{3 B a^{3} c^{2} d g^{3} i^{3} x^{2}}{2} + B a^{3} c d^{2} g^{3} i^{3} x^{3} + \frac{B a^{3} d^{3} g^{3} i^{3} x^{4}}{4} + \frac{3 B a^{2} b c^{3} g^{3} i^{3} x^{2}}{2} + 3 B a^{2} b c^{2} d g^{3} i^{3} x^{3} + \frac{9 B a^{2} b c d^{2} g^{3} i^{3} x^{4}}{4} + \frac{3 B a^{2} b d^{3} g^{3} i^{3} x^{5}}{5} + B a b^{2} c^{3} g^{3} i^{3} x^{3} + \frac{9 B a b^{2} c^{2} d g^{3} i^{3} x^{4}}{4} + \frac{9 B a b^{2} c d^{2} g^{3} i^{3} x^{5}}{5} + \frac{B a b^{2} d^{3} g^{3} i^{3} x^{6}}{2} + \frac{B b^{3} c^{3} g^{3} i^{3} x^{4}}{4} + \frac{3 B b^{3} c^{2} d g^{3} i^{3} x^{5}}{5} + \frac{B b^{3} c d^{2} g^{3} i^{3} x^{6}}{2} + \frac{B b^{3} d^{3} g^{3} i^{3} x^{7}}{7}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**3*d**3*g**3*i**3*x**7/7 - B*a**4*g**3*i**3*(a**3*d**3 - 7*a**2*b*c*d**2 + 21*a*b**2*c**2*d - 35*b**3*c**3)*log(x + (B*a**7*c*d**6*g**3*i**3 - 7*B*a**6*b*c**2*d**5*g**3*i**3 + 21*B*a**5*b**2*c**3*d**4*g**3*i**3 + B*a**5*d**4*g**3*i**3*(a**3*d**3 - 7*a**2*b*c*d**2 + 21*a*b**2*c**2*d - 35*b**3*c**3)/b - 70*B*a**4*b**3*c**4*d**3*g**3*i**3 - B*a**4*c*d**3*g**3*i**3*(a**3*d**3 - 7*a**2*b*c*d**2 + 21*a*b**2*c**2*d - 35*b**3*c**3) + 21*B*a**3*b**4*c**5*d**2*g**3*i**3 - 7*B*a**2*b**5*c**6*d*g**3*i**3 + B*a*b**6*c**7*g**3*i**3)/(B*a**7*d**7*g**3*i**3 - 7*B*a**6*b*c*d**6*g**3*i**3 + 21*B*a**5*b**2*c**2*d**5*g**3*i**3 - 35*B*a**4*b**3*c**3*d**4*g**3*i**3 - 35*B*a**3*b**4*c**4*d**3*g**3*i**3 + 21*B*a**2*b**5*c**5*d**2*g**3*i**3 - 7*B*a*b**6*c**6*d*g**3*i**3 + B*b**7*c**7*g**3*i**3))/(140*b**4) - B*c**4*g**3*i**3*(35*a**3*d**3 - 21*a**2*b*c*d**2 + 7*a*b**2*c**2*d - b**3*c**3)*log(x + (B*a**7*c*d**6*g**3*i**3 - 7*B*a**6*b*c**2*d**5*g**3*i**3 + 21*B*a**5*b**2*c**3*d**4*g**3*i**3 - 70*B*a**4*b**3*c**4*d**3*g**3*i**3 + 21*B*a**3*b**4*c**5*d**2*g**3*i**3 - 7*B*a**2*b**5*c**6*d*g**3*i**3 + B*a*b**6*c**7*g**3*i**3 + B*a*b**3*c**4*g**3*i**3*(35*a**3*d**3 - 21*a**2*b*c*d**2 + 7*a*b**2*c**2*d - b**3*c**3) - B*b**4*c**5*g**3*i**3*(35*a**3*d**3 - 21*a**2*b*c*d**2 + 7*a*b**2*c**2*d - b**3*c**3)/d)/(B*a**7*d**7*g**3*i**3 - 7*B*a**6*b*c*d**6*g**3*i**3 + 21*B*a**5*b**2*c**2*d**5*g**3*i**3 - 35*B*a**4*b**3*c**3*d**4*g**3*i**3 - 35*B*a**3*b**4*c**4*d**3*g**3*i**3 + 21*B*a**2*b**5*c**5*d**2*g**3*i**3 - 7*B*a*b**6*c**6*d*g**3*i**3 + B*b**7*c**7*g**3*i**3))/(140*d**4) + x**6*(A*a*b**2*d**3*g**3*i**3/2 + A*b**3*c*d**2*g**3*i**3/2 + B*a*b**2*d**3*g**3*i**3/42 - B*b**3*c*d**2*g**3*i**3/42) + x**5*(3*A*a**2*b*d**3*g**3*i**3/5 + 9*A*a*b**2*c*d**2*g**3*i**3/5 + 3*A*b**3*c**2*d*g**3*i**3/5 + B*a**2*b*d**3*g**3*i**3/14 - B*b**3*c**2*d*g**3*i**3/14) + x**4*(A*a**3*d**3*g**3*i**3/4 + 9*A*a**2*b*c*d**2*g**3*i**3/4 + 9*A*a*b**2*c**2*d*g**3*i**3/4 + A*b**3*c**3*g**3*i**3/4 + 17*B*a**3*d**3*g**3*i**3/280 + 7*B*a**2*b*c*d**2*g**3*i**3/40 - 7*B*a*b**2*c**2*d*g**3*i**3/40 - 17*B*b**3*c**3*g**3*i**3/280) + x**3*(A*a**3*c*d**2*g**3*i**3 + 3*A*a**2*b*c**2*d*g**3*i**3 + A*a*b**2*c**3*g**3*i**3 + B*a**4*d**3*g**3*i**3/(420*b) + 7*B*a**3*c*d**2*g**3*i**3/30 - 7*B*a*b**2*c**3*g**3*i**3/30 - B*b**3*c**4*g**3*i**3/(420*d)) + x**2*(3*A*a**3*c**2*d*g**3*i**3/2 + 3*A*a**2*b*c**3*g**3*i**3/2 - B*a**5*d**3*g**3*i**3/(280*b**2) + B*a**4*c*d**2*g**3*i**3/(40*b) + 3*B*a**3*c**2*d*g**3*i**3/10 - 3*B*a**2*b*c**3*g**3*i**3/10 - B*a*b**2*c**4*g**3*i**3/(40*d) + B*b**3*c**5*g**3*i**3/(280*d**2)) + x*(A*a**3*c**3*g**3*i**3 + B*a**6*d**3*g**3*i**3/(140*b**3) - B*a**5*c*d**2*g**3*i**3/(20*b**2) + 3*B*a**4*c**2*d*g**3*i**3/(20*b) - 3*B*a**2*b*c**4*g**3*i**3/(20*d) + B*a*b**2*c**5*g**3*i**3/(20*d**2) - B*b**3*c**6*g**3*i**3/(140*d**3)) + (B*a**3*c**3*g**3*i**3*x + 3*B*a**3*c**2*d*g**3*i**3*x**2/2 + B*a**3*c*d**2*g**3*i**3*x**3 + B*a**3*d**3*g**3*i**3*x**4/4 + 3*B*a**2*b*c**3*g**3*i**3*x**2/2 + 3*B*a**2*b*c**2*d*g**3*i**3*x**3 + 9*B*a**2*b*c*d**2*g**3*i**3*x**4/4 + 3*B*a**2*b*d**3*g**3*i**3*x**5/5 + B*a*b**2*c**3*g**3*i**3*x**3 + 9*B*a*b**2*c**2*d*g**3*i**3*x**4/4 + 9*B*a*b**2*c*d**2*g**3*i**3*x**5/5 + B*a*b**2*d**3*g**3*i**3*x**6/2 + B*b**3*c**3*g**3*i**3*x**4/4 + 3*B*b**3*c**2*d*g**3*i**3*x**5/5 + B*b**3*c*d**2*g**3*i**3*x**6/2 + B*b**3*d**3*g**3*i**3*x**7/7)*log(e*(a + b*x)/(c + d*x))","B",0
21,1,1727,0,12.214362," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{2} d^{3} g^{2} i^{3} x^{6}}{6} - \frac{B a^{3} g^{2} i^{3} \left(a^{3} d^{3} - 6 a^{2} b c d^{2} + 15 a b^{2} c^{2} d - 20 b^{3} c^{3}\right) \log{\left(x + \frac{B a^{6} c d^{5} g^{2} i^{3} - 6 B a^{5} b c^{2} d^{4} g^{2} i^{3} + 15 B a^{4} b^{2} c^{3} d^{3} g^{2} i^{3} + \frac{B a^{4} d^{3} g^{2} i^{3} \left(a^{3} d^{3} - 6 a^{2} b c d^{2} + 15 a b^{2} c^{2} d - 20 b^{3} c^{3}\right)}{b} - 35 B a^{3} b^{3} c^{4} d^{2} g^{2} i^{3} - B a^{3} c d^{2} g^{2} i^{3} \left(a^{3} d^{3} - 6 a^{2} b c d^{2} + 15 a b^{2} c^{2} d - 20 b^{3} c^{3}\right) + 6 B a^{2} b^{4} c^{5} d g^{2} i^{3} - B a b^{5} c^{6} g^{2} i^{3}}{B a^{6} d^{6} g^{2} i^{3} - 6 B a^{5} b c d^{5} g^{2} i^{3} + 15 B a^{4} b^{2} c^{2} d^{4} g^{2} i^{3} - 20 B a^{3} b^{3} c^{3} d^{3} g^{2} i^{3} - 15 B a^{2} b^{4} c^{4} d^{2} g^{2} i^{3} + 6 B a b^{5} c^{5} d g^{2} i^{3} - B b^{6} c^{6} g^{2} i^{3}} \right)}}{60 b^{4}} - \frac{B c^{4} g^{2} i^{3} \left(15 a^{2} d^{2} - 6 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{B a^{6} c d^{5} g^{2} i^{3} - 6 B a^{5} b c^{2} d^{4} g^{2} i^{3} + 15 B a^{4} b^{2} c^{3} d^{3} g^{2} i^{3} - 35 B a^{3} b^{3} c^{4} d^{2} g^{2} i^{3} + 6 B a^{2} b^{4} c^{5} d g^{2} i^{3} - B a b^{5} c^{6} g^{2} i^{3} + B a b^{3} c^{4} g^{2} i^{3} \left(15 a^{2} d^{2} - 6 a b c d + b^{2} c^{2}\right) - \frac{B b^{4} c^{5} g^{2} i^{3} \left(15 a^{2} d^{2} - 6 a b c d + b^{2} c^{2}\right)}{d}}{B a^{6} d^{6} g^{2} i^{3} - 6 B a^{5} b c d^{5} g^{2} i^{3} + 15 B a^{4} b^{2} c^{2} d^{4} g^{2} i^{3} - 20 B a^{3} b^{3} c^{3} d^{3} g^{2} i^{3} - 15 B a^{2} b^{4} c^{4} d^{2} g^{2} i^{3} + 6 B a b^{5} c^{5} d g^{2} i^{3} - B b^{6} c^{6} g^{2} i^{3}} \right)}}{60 d^{3}} + x^{5} \left(\frac{2 A a b d^{3} g^{2} i^{3}}{5} + \frac{3 A b^{2} c d^{2} g^{2} i^{3}}{5} + \frac{B a b d^{3} g^{2} i^{3}}{30} - \frac{B b^{2} c d^{2} g^{2} i^{3}}{30}\right) + x^{4} \left(\frac{A a^{2} d^{3} g^{2} i^{3}}{4} + \frac{3 A a b c d^{2} g^{2} i^{3}}{2} + \frac{3 A b^{2} c^{2} d g^{2} i^{3}}{4} + \frac{7 B a^{2} d^{3} g^{2} i^{3}}{120} + \frac{B a b c d^{2} g^{2} i^{3}}{20} - \frac{13 B b^{2} c^{2} d g^{2} i^{3}}{120}\right) + x^{3} \left(A a^{2} c d^{2} g^{2} i^{3} + 2 A a b c^{2} d g^{2} i^{3} + \frac{A b^{2} c^{3} g^{2} i^{3}}{3} + \frac{B a^{3} d^{3} g^{2} i^{3}}{180 b} + \frac{13 B a^{2} c d^{2} g^{2} i^{3}}{60} - \frac{7 B a b c^{2} d g^{2} i^{3}}{60} - \frac{19 B b^{2} c^{3} g^{2} i^{3}}{180}\right) + x^{2} \left(\frac{3 A a^{2} c^{2} d g^{2} i^{3}}{2} + A a b c^{3} g^{2} i^{3} - \frac{B a^{4} d^{3} g^{2} i^{3}}{120 b^{2}} + \frac{B a^{3} c d^{2} g^{2} i^{3}}{20 b} + \frac{B a^{2} c^{2} d g^{2} i^{3}}{4} - \frac{17 B a b c^{3} g^{2} i^{3}}{60} - \frac{B b^{2} c^{4} g^{2} i^{3}}{120 d}\right) + x \left(A a^{2} c^{3} g^{2} i^{3} + \frac{B a^{5} d^{3} g^{2} i^{3}}{60 b^{3}} - \frac{B a^{4} c d^{2} g^{2} i^{3}}{10 b^{2}} + \frac{B a^{3} c^{2} d g^{2} i^{3}}{4 b} - \frac{B a^{2} c^{3} g^{2} i^{3}}{12} - \frac{B a b c^{4} g^{2} i^{3}}{10 d} + \frac{B b^{2} c^{5} g^{2} i^{3}}{60 d^{2}}\right) + \left(B a^{2} c^{3} g^{2} i^{3} x + \frac{3 B a^{2} c^{2} d g^{2} i^{3} x^{2}}{2} + B a^{2} c d^{2} g^{2} i^{3} x^{3} + \frac{B a^{2} d^{3} g^{2} i^{3} x^{4}}{4} + B a b c^{3} g^{2} i^{3} x^{2} + 2 B a b c^{2} d g^{2} i^{3} x^{3} + \frac{3 B a b c d^{2} g^{2} i^{3} x^{4}}{2} + \frac{2 B a b d^{3} g^{2} i^{3} x^{5}}{5} + \frac{B b^{2} c^{3} g^{2} i^{3} x^{3}}{3} + \frac{3 B b^{2} c^{2} d g^{2} i^{3} x^{4}}{4} + \frac{3 B b^{2} c d^{2} g^{2} i^{3} x^{5}}{5} + \frac{B b^{2} d^{3} g^{2} i^{3} x^{6}}{6}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**2*d**3*g**2*i**3*x**6/6 - B*a**3*g**2*i**3*(a**3*d**3 - 6*a**2*b*c*d**2 + 15*a*b**2*c**2*d - 20*b**3*c**3)*log(x + (B*a**6*c*d**5*g**2*i**3 - 6*B*a**5*b*c**2*d**4*g**2*i**3 + 15*B*a**4*b**2*c**3*d**3*g**2*i**3 + B*a**4*d**3*g**2*i**3*(a**3*d**3 - 6*a**2*b*c*d**2 + 15*a*b**2*c**2*d - 20*b**3*c**3)/b - 35*B*a**3*b**3*c**4*d**2*g**2*i**3 - B*a**3*c*d**2*g**2*i**3*(a**3*d**3 - 6*a**2*b*c*d**2 + 15*a*b**2*c**2*d - 20*b**3*c**3) + 6*B*a**2*b**4*c**5*d*g**2*i**3 - B*a*b**5*c**6*g**2*i**3)/(B*a**6*d**6*g**2*i**3 - 6*B*a**5*b*c*d**5*g**2*i**3 + 15*B*a**4*b**2*c**2*d**4*g**2*i**3 - 20*B*a**3*b**3*c**3*d**3*g**2*i**3 - 15*B*a**2*b**4*c**4*d**2*g**2*i**3 + 6*B*a*b**5*c**5*d*g**2*i**3 - B*b**6*c**6*g**2*i**3))/(60*b**4) - B*c**4*g**2*i**3*(15*a**2*d**2 - 6*a*b*c*d + b**2*c**2)*log(x + (B*a**6*c*d**5*g**2*i**3 - 6*B*a**5*b*c**2*d**4*g**2*i**3 + 15*B*a**4*b**2*c**3*d**3*g**2*i**3 - 35*B*a**3*b**3*c**4*d**2*g**2*i**3 + 6*B*a**2*b**4*c**5*d*g**2*i**3 - B*a*b**5*c**6*g**2*i**3 + B*a*b**3*c**4*g**2*i**3*(15*a**2*d**2 - 6*a*b*c*d + b**2*c**2) - B*b**4*c**5*g**2*i**3*(15*a**2*d**2 - 6*a*b*c*d + b**2*c**2)/d)/(B*a**6*d**6*g**2*i**3 - 6*B*a**5*b*c*d**5*g**2*i**3 + 15*B*a**4*b**2*c**2*d**4*g**2*i**3 - 20*B*a**3*b**3*c**3*d**3*g**2*i**3 - 15*B*a**2*b**4*c**4*d**2*g**2*i**3 + 6*B*a*b**5*c**5*d*g**2*i**3 - B*b**6*c**6*g**2*i**3))/(60*d**3) + x**5*(2*A*a*b*d**3*g**2*i**3/5 + 3*A*b**2*c*d**2*g**2*i**3/5 + B*a*b*d**3*g**2*i**3/30 - B*b**2*c*d**2*g**2*i**3/30) + x**4*(A*a**2*d**3*g**2*i**3/4 + 3*A*a*b*c*d**2*g**2*i**3/2 + 3*A*b**2*c**2*d*g**2*i**3/4 + 7*B*a**2*d**3*g**2*i**3/120 + B*a*b*c*d**2*g**2*i**3/20 - 13*B*b**2*c**2*d*g**2*i**3/120) + x**3*(A*a**2*c*d**2*g**2*i**3 + 2*A*a*b*c**2*d*g**2*i**3 + A*b**2*c**3*g**2*i**3/3 + B*a**3*d**3*g**2*i**3/(180*b) + 13*B*a**2*c*d**2*g**2*i**3/60 - 7*B*a*b*c**2*d*g**2*i**3/60 - 19*B*b**2*c**3*g**2*i**3/180) + x**2*(3*A*a**2*c**2*d*g**2*i**3/2 + A*a*b*c**3*g**2*i**3 - B*a**4*d**3*g**2*i**3/(120*b**2) + B*a**3*c*d**2*g**2*i**3/(20*b) + B*a**2*c**2*d*g**2*i**3/4 - 17*B*a*b*c**3*g**2*i**3/60 - B*b**2*c**4*g**2*i**3/(120*d)) + x*(A*a**2*c**3*g**2*i**3 + B*a**5*d**3*g**2*i**3/(60*b**3) - B*a**4*c*d**2*g**2*i**3/(10*b**2) + B*a**3*c**2*d*g**2*i**3/(4*b) - B*a**2*c**3*g**2*i**3/12 - B*a*b*c**4*g**2*i**3/(10*d) + B*b**2*c**5*g**2*i**3/(60*d**2)) + (B*a**2*c**3*g**2*i**3*x + 3*B*a**2*c**2*d*g**2*i**3*x**2/2 + B*a**2*c*d**2*g**2*i**3*x**3 + B*a**2*d**3*g**2*i**3*x**4/4 + B*a*b*c**3*g**2*i**3*x**2 + 2*B*a*b*c**2*d*g**2*i**3*x**3 + 3*B*a*b*c*d**2*g**2*i**3*x**4/2 + 2*B*a*b*d**3*g**2*i**3*x**5/5 + B*b**2*c**3*g**2*i**3*x**3/3 + 3*B*b**2*c**2*d*g**2*i**3*x**4/4 + 3*B*b**2*c*d**2*g**2*i**3*x**5/5 + B*b**2*d**3*g**2*i**3*x**6/6)*log(e*(a + b*x)/(c + d*x))","B",0
22,1,1158,0,7.306068," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b d^{3} g i^{3} x^{5}}{5} - \frac{B a^{2} g i^{3} \left(a^{3} d^{3} - 5 a^{2} b c d^{2} + 10 a b^{2} c^{2} d - 10 b^{3} c^{3}\right) \log{\left(x + \frac{B a^{5} c d^{4} g i^{3} - 5 B a^{4} b c^{2} d^{3} g i^{3} + 10 B a^{3} b^{2} c^{3} d^{2} g i^{3} + \frac{B a^{3} d^{2} g i^{3} \left(a^{3} d^{3} - 5 a^{2} b c d^{2} + 10 a b^{2} c^{2} d - 10 b^{3} c^{3}\right)}{b} - 15 B a^{2} b^{3} c^{4} d g i^{3} - B a^{2} c d g i^{3} \left(a^{3} d^{3} - 5 a^{2} b c d^{2} + 10 a b^{2} c^{2} d - 10 b^{3} c^{3}\right) + B a b^{4} c^{5} g i^{3}}{B a^{5} d^{5} g i^{3} - 5 B a^{4} b c d^{4} g i^{3} + 10 B a^{3} b^{2} c^{2} d^{3} g i^{3} - 10 B a^{2} b^{3} c^{3} d^{2} g i^{3} - 5 B a b^{4} c^{4} d g i^{3} + B b^{5} c^{5} g i^{3}} \right)}}{20 b^{4}} - \frac{B c^{4} g i^{3} \left(5 a d - b c\right) \log{\left(x + \frac{B a^{5} c d^{4} g i^{3} - 5 B a^{4} b c^{2} d^{3} g i^{3} + 10 B a^{3} b^{2} c^{3} d^{2} g i^{3} - 15 B a^{2} b^{3} c^{4} d g i^{3} + B a b^{4} c^{5} g i^{3} + B a b^{3} c^{4} g i^{3} \left(5 a d - b c\right) - \frac{B b^{4} c^{5} g i^{3} \left(5 a d - b c\right)}{d}}{B a^{5} d^{5} g i^{3} - 5 B a^{4} b c d^{4} g i^{3} + 10 B a^{3} b^{2} c^{2} d^{3} g i^{3} - 10 B a^{2} b^{3} c^{3} d^{2} g i^{3} - 5 B a b^{4} c^{4} d g i^{3} + B b^{5} c^{5} g i^{3}} \right)}}{20 d^{2}} + x^{4} \left(\frac{A a d^{3} g i^{3}}{4} + \frac{3 A b c d^{2} g i^{3}}{4} + \frac{B a d^{3} g i^{3}}{20} - \frac{B b c d^{2} g i^{3}}{20}\right) + x^{3} \left(A a c d^{2} g i^{3} + A b c^{2} d g i^{3} + \frac{B a^{2} d^{3} g i^{3}}{60 b} + \frac{B a c d^{2} g i^{3}}{6} - \frac{11 B b c^{2} d g i^{3}}{60}\right) + x^{2} \left(\frac{3 A a c^{2} d g i^{3}}{2} + \frac{A b c^{3} g i^{3}}{2} - \frac{B a^{3} d^{3} g i^{3}}{40 b^{2}} + \frac{B a^{2} c d^{2} g i^{3}}{8 b} + \frac{B a c^{2} d g i^{3}}{8} - \frac{9 B b c^{3} g i^{3}}{40}\right) + x \left(A a c^{3} g i^{3} + \frac{B a^{4} d^{3} g i^{3}}{20 b^{3}} - \frac{B a^{3} c d^{2} g i^{3}}{4 b^{2}} + \frac{B a^{2} c^{2} d g i^{3}}{2 b} - \frac{B a c^{3} g i^{3}}{4} - \frac{B b c^{4} g i^{3}}{20 d}\right) + \left(B a c^{3} g i^{3} x + \frac{3 B a c^{2} d g i^{3} x^{2}}{2} + B a c d^{2} g i^{3} x^{3} + \frac{B a d^{3} g i^{3} x^{4}}{4} + \frac{B b c^{3} g i^{3} x^{2}}{2} + B b c^{2} d g i^{3} x^{3} + \frac{3 B b c d^{2} g i^{3} x^{4}}{4} + \frac{B b d^{3} g i^{3} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b*d**3*g*i**3*x**5/5 - B*a**2*g*i**3*(a**3*d**3 - 5*a**2*b*c*d**2 + 10*a*b**2*c**2*d - 10*b**3*c**3)*log(x + (B*a**5*c*d**4*g*i**3 - 5*B*a**4*b*c**2*d**3*g*i**3 + 10*B*a**3*b**2*c**3*d**2*g*i**3 + B*a**3*d**2*g*i**3*(a**3*d**3 - 5*a**2*b*c*d**2 + 10*a*b**2*c**2*d - 10*b**3*c**3)/b - 15*B*a**2*b**3*c**4*d*g*i**3 - B*a**2*c*d*g*i**3*(a**3*d**3 - 5*a**2*b*c*d**2 + 10*a*b**2*c**2*d - 10*b**3*c**3) + B*a*b**4*c**5*g*i**3)/(B*a**5*d**5*g*i**3 - 5*B*a**4*b*c*d**4*g*i**3 + 10*B*a**3*b**2*c**2*d**3*g*i**3 - 10*B*a**2*b**3*c**3*d**2*g*i**3 - 5*B*a*b**4*c**4*d*g*i**3 + B*b**5*c**5*g*i**3))/(20*b**4) - B*c**4*g*i**3*(5*a*d - b*c)*log(x + (B*a**5*c*d**4*g*i**3 - 5*B*a**4*b*c**2*d**3*g*i**3 + 10*B*a**3*b**2*c**3*d**2*g*i**3 - 15*B*a**2*b**3*c**4*d*g*i**3 + B*a*b**4*c**5*g*i**3 + B*a*b**3*c**4*g*i**3*(5*a*d - b*c) - B*b**4*c**5*g*i**3*(5*a*d - b*c)/d)/(B*a**5*d**5*g*i**3 - 5*B*a**4*b*c*d**4*g*i**3 + 10*B*a**3*b**2*c**2*d**3*g*i**3 - 10*B*a**2*b**3*c**3*d**2*g*i**3 - 5*B*a*b**4*c**4*d*g*i**3 + B*b**5*c**5*g*i**3))/(20*d**2) + x**4*(A*a*d**3*g*i**3/4 + 3*A*b*c*d**2*g*i**3/4 + B*a*d**3*g*i**3/20 - B*b*c*d**2*g*i**3/20) + x**3*(A*a*c*d**2*g*i**3 + A*b*c**2*d*g*i**3 + B*a**2*d**3*g*i**3/(60*b) + B*a*c*d**2*g*i**3/6 - 11*B*b*c**2*d*g*i**3/60) + x**2*(3*A*a*c**2*d*g*i**3/2 + A*b*c**3*g*i**3/2 - B*a**3*d**3*g*i**3/(40*b**2) + B*a**2*c*d**2*g*i**3/(8*b) + B*a*c**2*d*g*i**3/8 - 9*B*b*c**3*g*i**3/40) + x*(A*a*c**3*g*i**3 + B*a**4*d**3*g*i**3/(20*b**3) - B*a**3*c*d**2*g*i**3/(4*b**2) + B*a**2*c**2*d*g*i**3/(2*b) - B*a*c**3*g*i**3/4 - B*b*c**4*g*i**3/(20*d)) + (B*a*c**3*g*i**3*x + 3*B*a*c**2*d*g*i**3*x**2/2 + B*a*c*d**2*g*i**3*x**3 + B*a*d**3*g*i**3*x**4/4 + B*b*c**3*g*i**3*x**2/2 + B*b*c**2*d*g*i**3*x**3 + 3*B*b*c*d**2*g*i**3*x**4/4 + B*b*d**3*g*i**3*x**5/5)*log(e*(a + b*x)/(c + d*x))","B",0
23,1,706,0,4.124277," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A d^{3} i^{3} x^{4}}{4} - \frac{B a i^{3} \left(a d - 2 b c\right) \left(a^{2} d^{2} - 2 a b c d + 2 b^{2} c^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} i^{3} - 4 B a^{3} b c^{2} d^{2} i^{3} + 6 B a^{2} b^{2} c^{3} d i^{3} + \frac{B a^{2} d i^{3} \left(a d - 2 b c\right) \left(a^{2} d^{2} - 2 a b c d + 2 b^{2} c^{2}\right)}{b} - 5 B a b^{3} c^{4} i^{3} - B a c i^{3} \left(a d - 2 b c\right) \left(a^{2} d^{2} - 2 a b c d + 2 b^{2} c^{2}\right)}{B a^{4} d^{4} i^{3} - 4 B a^{3} b c d^{3} i^{3} + 6 B a^{2} b^{2} c^{2} d^{2} i^{3} - 4 B a b^{3} c^{3} d i^{3} - B b^{4} c^{4} i^{3}} \right)}}{4 b^{4}} - \frac{B c^{4} i^{3} \log{\left(x + \frac{B a^{4} c d^{3} i^{3} - 4 B a^{3} b c^{2} d^{2} i^{3} + 6 B a^{2} b^{2} c^{3} d i^{3} - 4 B a b^{3} c^{4} i^{3} - \frac{B b^{4} c^{5} i^{3}}{d}}{B a^{4} d^{4} i^{3} - 4 B a^{3} b c d^{3} i^{3} + 6 B a^{2} b^{2} c^{2} d^{2} i^{3} - 4 B a b^{3} c^{3} d i^{3} - B b^{4} c^{4} i^{3}} \right)}}{4 d} + x^{3} \left(A c d^{2} i^{3} + \frac{B a d^{3} i^{3}}{12 b} - \frac{B c d^{2} i^{3}}{12}\right) + x^{2} \left(\frac{3 A c^{2} d i^{3}}{2} - \frac{B a^{2} d^{3} i^{3}}{8 b^{2}} + \frac{B a c d^{2} i^{3}}{2 b} - \frac{3 B c^{2} d i^{3}}{8}\right) + x \left(A c^{3} i^{3} + \frac{B a^{3} d^{3} i^{3}}{4 b^{3}} - \frac{B a^{2} c d^{2} i^{3}}{b^{2}} + \frac{3 B a c^{2} d i^{3}}{2 b} - \frac{3 B c^{3} i^{3}}{4}\right) + \left(B c^{3} i^{3} x + \frac{3 B c^{2} d i^{3} x^{2}}{2} + B c d^{2} i^{3} x^{3} + \frac{B d^{3} i^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*d**3*i**3*x**4/4 - B*a*i**3*(a*d - 2*b*c)*(a**2*d**2 - 2*a*b*c*d + 2*b**2*c**2)*log(x + (B*a**4*c*d**3*i**3 - 4*B*a**3*b*c**2*d**2*i**3 + 6*B*a**2*b**2*c**3*d*i**3 + B*a**2*d*i**3*(a*d - 2*b*c)*(a**2*d**2 - 2*a*b*c*d + 2*b**2*c**2)/b - 5*B*a*b**3*c**4*i**3 - B*a*c*i**3*(a*d - 2*b*c)*(a**2*d**2 - 2*a*b*c*d + 2*b**2*c**2))/(B*a**4*d**4*i**3 - 4*B*a**3*b*c*d**3*i**3 + 6*B*a**2*b**2*c**2*d**2*i**3 - 4*B*a*b**3*c**3*d*i**3 - B*b**4*c**4*i**3))/(4*b**4) - B*c**4*i**3*log(x + (B*a**4*c*d**3*i**3 - 4*B*a**3*b*c**2*d**2*i**3 + 6*B*a**2*b**2*c**3*d*i**3 - 4*B*a*b**3*c**4*i**3 - B*b**4*c**5*i**3/d)/(B*a**4*d**4*i**3 - 4*B*a**3*b*c*d**3*i**3 + 6*B*a**2*b**2*c**2*d**2*i**3 - 4*B*a*b**3*c**3*d*i**3 - B*b**4*c**4*i**3))/(4*d) + x**3*(A*c*d**2*i**3 + B*a*d**3*i**3/(12*b) - B*c*d**2*i**3/12) + x**2*(3*A*c**2*d*i**3/2 - B*a**2*d**3*i**3/(8*b**2) + B*a*c*d**2*i**3/(2*b) - 3*B*c**2*d*i**3/8) + x*(A*c**3*i**3 + B*a**3*d**3*i**3/(4*b**3) - B*a**2*c*d**2*i**3/b**2 + 3*B*a*c**2*d*i**3/(2*b) - 3*B*c**3*i**3/4) + (B*c**3*i**3*x + 3*B*c**2*d*i**3*x**2/2 + B*c*d**2*i**3*x**3 + B*d**3*i**3*x**4/4)*log(e*(a + b*x)/(c + d*x))","B",0
24,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x)","\frac{g^{2} \left(\int \frac{A a^{2}}{c + d x}\, dx + \int \frac{A b^{2} x^{2}}{c + d x}\, dx + \int \frac{B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{2 A a b x}{c + d x}\, dx + \int \frac{B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{2 B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g**2*(Integral(A*a**2/(c + d*x), x) + Integral(A*b**2*x**2/(c + d*x), x) + Integral(B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(2*A*a*b*x/(c + d*x), x) + Integral(B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(2*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
33,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x)","\frac{g \left(\int \frac{A a}{c + d x}\, dx + \int \frac{A b x}{c + d x}\, dx + \int \frac{B a \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{B b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g*(Integral(A*a/(c + d*x), x) + Integral(A*b*x/(c + d*x), x) + Integral(B*a*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(B*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
34,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i),x)","\frac{\int \frac{A}{c + d x}\, dx + \int \frac{B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx}{i}"," ",0,"(Integral(A/(c + d*x), x) + Integral(B*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
35,1,170,0,1.128795," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i),x)","A \left(\frac{\log{\left(x + \frac{- \frac{a^{2} d^{2}}{a d - b c} + \frac{2 a b c d}{a d - b c} + a d - \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{g i \left(a d - b c\right)} - \frac{\log{\left(x + \frac{\frac{a^{2} d^{2}}{a d - b c} - \frac{2 a b c d}{a d - b c} + a d + \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{g i \left(a d - b c\right)}\right) - \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a d g i - 2 b c g i}"," ",0,"A*(log(x + (-a**2*d**2/(a*d - b*c) + 2*a*b*c*d/(a*d - b*c) + a*d - b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(g*i*(a*d - b*c)) - log(x + (a**2*d**2/(a*d - b*c) - 2*a*b*c*d/(a*d - b*c) + a*d + b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(g*i*(a*d - b*c))) - B*log(e*(a + b*x)/(c + d*x))**2/(2*a*d*g*i - 2*b*c*g*i)","B",0
36,1,386,0,2.512225," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2/(d*i*x+c*i),x)","- \frac{B d \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{2} d^{2} g^{2} i - 4 a b c d g^{2} i + 2 b^{2} c^{2} g^{2} i} + \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a^{2} d g^{2} i - a b c g^{2} i + a b d g^{2} i x - b^{2} c g^{2} i x} + \left(A + B\right) \left(\frac{d \log{\left(x + \frac{- \frac{a^{3} d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b c d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{2}} + a d^{2} + \frac{b^{3} c^{3} d}{\left(a d - b c\right)^{2}} + b c d}{2 b d^{2}} \right)}}{g^{2} i \left(a d - b c\right)^{2}} - \frac{d \log{\left(x + \frac{\frac{a^{3} d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b c d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{2}} + a d^{2} - \frac{b^{3} c^{3} d}{\left(a d - b c\right)^{2}} + b c d}{2 b d^{2}} \right)}}{g^{2} i \left(a d - b c\right)^{2}} + \frac{1}{a^{2} d g^{2} i - a b c g^{2} i + x \left(a b d g^{2} i - b^{2} c g^{2} i\right)}\right)"," ",0,"-B*d*log(e*(a + b*x)/(c + d*x))**2/(2*a**2*d**2*g**2*i - 4*a*b*c*d*g**2*i + 2*b**2*c**2*g**2*i) + B*log(e*(a + b*x)/(c + d*x))/(a**2*d*g**2*i - a*b*c*g**2*i + a*b*d*g**2*i*x - b**2*c*g**2*i*x) + (A + B)*(d*log(x + (-a**3*d**4/(a*d - b*c)**2 + 3*a**2*b*c*d**3/(a*d - b*c)**2 - 3*a*b**2*c**2*d**2/(a*d - b*c)**2 + a*d**2 + b**3*c**3*d/(a*d - b*c)**2 + b*c*d)/(2*b*d**2))/(g**2*i*(a*d - b*c)**2) - d*log(x + (a**3*d**4/(a*d - b*c)**2 - 3*a**2*b*c*d**3/(a*d - b*c)**2 + 3*a*b**2*c**2*d**2/(a*d - b*c)**2 + a*d**2 - b**3*c**3*d/(a*d - b*c)**2 + b*c*d)/(2*b*d**2))/(g**2*i*(a*d - b*c)**2) + 1/(a**2*d*g**2*i - a*b*c*g**2*i + x*(a*b*d*g**2*i - b**2*c*g**2*i)))","B",0
37,1,889,0,6.980003," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3/(d*i*x+c*i),x)","- \frac{B d^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{3} d^{3} g^{3} i - 6 a^{2} b c d^{2} g^{3} i + 6 a b^{2} c^{2} d g^{3} i - 2 b^{3} c^{3} g^{3} i} + \frac{d^{2} \left(2 A + 3 B\right) \log{\left(x + \frac{2 A a d^{3} + 2 A b c d^{2} + 3 B a d^{3} + 3 B b c d^{2} - \frac{a^{4} d^{6} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b c d^{5} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{2} c^{2} d^{4} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 a b^{3} c^{3} d^{3} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{b^{4} c^{4} d^{2} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}}}{4 A b d^{3} + 6 B b d^{3}} \right)}}{2 g^{3} i \left(a d - b c\right)^{3}} - \frac{d^{2} \left(2 A + 3 B\right) \log{\left(x + \frac{2 A a d^{3} + 2 A b c d^{2} + 3 B a d^{3} + 3 B b c d^{2} + \frac{a^{4} d^{6} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b c d^{5} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{2} c^{2} d^{4} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 a b^{3} c^{3} d^{3} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{b^{4} c^{4} d^{2} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{3}}}{4 A b d^{3} + 6 B b d^{3}} \right)}}{2 g^{3} i \left(a d - b c\right)^{3}} + \frac{\left(3 B a d - B b c + 2 B b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{4} d^{2} g^{3} i - 4 a^{3} b c d g^{3} i + 4 a^{3} b d^{2} g^{3} i x + 2 a^{2} b^{2} c^{2} g^{3} i - 8 a^{2} b^{2} c d g^{3} i x + 2 a^{2} b^{2} d^{2} g^{3} i x^{2} + 4 a b^{3} c^{2} g^{3} i x - 4 a b^{3} c d g^{3} i x^{2} + 2 b^{4} c^{2} g^{3} i x^{2}} + \frac{6 A a d - 2 A b c + 7 B a d - B b c + x \left(4 A b d + 6 B b d\right)}{4 a^{4} d^{2} g^{3} i - 8 a^{3} b c d g^{3} i + 4 a^{2} b^{2} c^{2} g^{3} i + x^{2} \left(4 a^{2} b^{2} d^{2} g^{3} i - 8 a b^{3} c d g^{3} i + 4 b^{4} c^{2} g^{3} i\right) + x \left(8 a^{3} b d^{2} g^{3} i - 16 a^{2} b^{2} c d g^{3} i + 8 a b^{3} c^{2} g^{3} i\right)}"," ",0,"-B*d**2*log(e*(a + b*x)/(c + d*x))**2/(2*a**3*d**3*g**3*i - 6*a**2*b*c*d**2*g**3*i + 6*a*b**2*c**2*d*g**3*i - 2*b**3*c**3*g**3*i) + d**2*(2*A + 3*B)*log(x + (2*A*a*d**3 + 2*A*b*c*d**2 + 3*B*a*d**3 + 3*B*b*c*d**2 - a**4*d**6*(2*A + 3*B)/(a*d - b*c)**3 + 4*a**3*b*c*d**5*(2*A + 3*B)/(a*d - b*c)**3 - 6*a**2*b**2*c**2*d**4*(2*A + 3*B)/(a*d - b*c)**3 + 4*a*b**3*c**3*d**3*(2*A + 3*B)/(a*d - b*c)**3 - b**4*c**4*d**2*(2*A + 3*B)/(a*d - b*c)**3)/(4*A*b*d**3 + 6*B*b*d**3))/(2*g**3*i*(a*d - b*c)**3) - d**2*(2*A + 3*B)*log(x + (2*A*a*d**3 + 2*A*b*c*d**2 + 3*B*a*d**3 + 3*B*b*c*d**2 + a**4*d**6*(2*A + 3*B)/(a*d - b*c)**3 - 4*a**3*b*c*d**5*(2*A + 3*B)/(a*d - b*c)**3 + 6*a**2*b**2*c**2*d**4*(2*A + 3*B)/(a*d - b*c)**3 - 4*a*b**3*c**3*d**3*(2*A + 3*B)/(a*d - b*c)**3 + b**4*c**4*d**2*(2*A + 3*B)/(a*d - b*c)**3)/(4*A*b*d**3 + 6*B*b*d**3))/(2*g**3*i*(a*d - b*c)**3) + (3*B*a*d - B*b*c + 2*B*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a**4*d**2*g**3*i - 4*a**3*b*c*d*g**3*i + 4*a**3*b*d**2*g**3*i*x + 2*a**2*b**2*c**2*g**3*i - 8*a**2*b**2*c*d*g**3*i*x + 2*a**2*b**2*d**2*g**3*i*x**2 + 4*a*b**3*c**2*g**3*i*x - 4*a*b**3*c*d*g**3*i*x**2 + 2*b**4*c**2*g**3*i*x**2) + (6*A*a*d - 2*A*b*c + 7*B*a*d - B*b*c + x*(4*A*b*d + 6*B*b*d))/(4*a**4*d**2*g**3*i - 8*a**3*b*c*d*g**3*i + 4*a**2*b**2*c**2*g**3*i + x**2*(4*a**2*b**2*d**2*g**3*i - 8*a*b**3*c*d*g**3*i + 4*b**4*c**2*g**3*i) + x*(8*a**3*b*d**2*g**3*i - 16*a**2*b**2*c*d*g**3*i + 8*a*b**3*c**2*g**3*i))","B",0
38,1,1392,0,20.689351," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4/(d*i*x+c*i),x)","- \frac{B d^{3} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{4} d^{4} g^{4} i - 8 a^{3} b c d^{3} g^{4} i + 12 a^{2} b^{2} c^{2} d^{2} g^{4} i - 8 a b^{3} c^{3} d g^{4} i + 2 b^{4} c^{4} g^{4} i} + \frac{d^{3} \left(6 A + 11 B\right) \log{\left(x + \frac{6 A a d^{4} + 6 A b c d^{3} + 11 B a d^{4} + 11 B b c d^{3} - \frac{a^{5} d^{8} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{4} b c d^{7} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{3} b^{2} c^{2} d^{6} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{2} b^{3} c^{3} d^{5} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} - \frac{5 a b^{4} c^{4} d^{4} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} + \frac{b^{5} c^{5} d^{3} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}}}{12 A b d^{4} + 22 B b d^{4}} \right)}}{6 g^{4} i \left(a d - b c\right)^{4}} - \frac{d^{3} \left(6 A + 11 B\right) \log{\left(x + \frac{6 A a d^{4} + 6 A b c d^{3} + 11 B a d^{4} + 11 B b c d^{3} + \frac{a^{5} d^{8} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} - \frac{5 a^{4} b c d^{7} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{3} b^{2} c^{2} d^{6} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{2} b^{3} c^{3} d^{5} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} + \frac{5 a b^{4} c^{4} d^{4} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}} - \frac{b^{5} c^{5} d^{3} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{4}}}{12 A b d^{4} + 22 B b d^{4}} \right)}}{6 g^{4} i \left(a d - b c\right)^{4}} + \frac{\left(11 B a^{2} d^{2} - 7 B a b c d + 15 B a b d^{2} x + 2 B b^{2} c^{2} - 3 B b^{2} c d x + 6 B b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{6 a^{6} d^{3} g^{4} i - 18 a^{5} b c d^{2} g^{4} i + 18 a^{5} b d^{3} g^{4} i x + 18 a^{4} b^{2} c^{2} d g^{4} i - 54 a^{4} b^{2} c d^{2} g^{4} i x + 18 a^{4} b^{2} d^{3} g^{4} i x^{2} - 6 a^{3} b^{3} c^{3} g^{4} i + 54 a^{3} b^{3} c^{2} d g^{4} i x - 54 a^{3} b^{3} c d^{2} g^{4} i x^{2} + 6 a^{3} b^{3} d^{3} g^{4} i x^{3} - 18 a^{2} b^{4} c^{3} g^{4} i x + 54 a^{2} b^{4} c^{2} d g^{4} i x^{2} - 18 a^{2} b^{4} c d^{2} g^{4} i x^{3} - 18 a b^{5} c^{3} g^{4} i x^{2} + 18 a b^{5} c^{2} d g^{4} i x^{3} - 6 b^{6} c^{3} g^{4} i x^{3}} + \frac{66 A a^{2} d^{2} - 42 A a b c d + 12 A b^{2} c^{2} + 85 B a^{2} d^{2} - 23 B a b c d + 4 B b^{2} c^{2} + x^{2} \left(36 A b^{2} d^{2} + 66 B b^{2} d^{2}\right) + x \left(90 A a b d^{2} - 18 A b^{2} c d + 147 B a b d^{2} - 15 B b^{2} c d\right)}{36 a^{6} d^{3} g^{4} i - 108 a^{5} b c d^{2} g^{4} i + 108 a^{4} b^{2} c^{2} d g^{4} i - 36 a^{3} b^{3} c^{3} g^{4} i + x^{3} \left(36 a^{3} b^{3} d^{3} g^{4} i - 108 a^{2} b^{4} c d^{2} g^{4} i + 108 a b^{5} c^{2} d g^{4} i - 36 b^{6} c^{3} g^{4} i\right) + x^{2} \left(108 a^{4} b^{2} d^{3} g^{4} i - 324 a^{3} b^{3} c d^{2} g^{4} i + 324 a^{2} b^{4} c^{2} d g^{4} i - 108 a b^{5} c^{3} g^{4} i\right) + x \left(108 a^{5} b d^{3} g^{4} i - 324 a^{4} b^{2} c d^{2} g^{4} i + 324 a^{3} b^{3} c^{2} d g^{4} i - 108 a^{2} b^{4} c^{3} g^{4} i\right)}"," ",0,"-B*d**3*log(e*(a + b*x)/(c + d*x))**2/(2*a**4*d**4*g**4*i - 8*a**3*b*c*d**3*g**4*i + 12*a**2*b**2*c**2*d**2*g**4*i - 8*a*b**3*c**3*d*g**4*i + 2*b**4*c**4*g**4*i) + d**3*(6*A + 11*B)*log(x + (6*A*a*d**4 + 6*A*b*c*d**3 + 11*B*a*d**4 + 11*B*b*c*d**3 - a**5*d**8*(6*A + 11*B)/(a*d - b*c)**4 + 5*a**4*b*c*d**7*(6*A + 11*B)/(a*d - b*c)**4 - 10*a**3*b**2*c**2*d**6*(6*A + 11*B)/(a*d - b*c)**4 + 10*a**2*b**3*c**3*d**5*(6*A + 11*B)/(a*d - b*c)**4 - 5*a*b**4*c**4*d**4*(6*A + 11*B)/(a*d - b*c)**4 + b**5*c**5*d**3*(6*A + 11*B)/(a*d - b*c)**4)/(12*A*b*d**4 + 22*B*b*d**4))/(6*g**4*i*(a*d - b*c)**4) - d**3*(6*A + 11*B)*log(x + (6*A*a*d**4 + 6*A*b*c*d**3 + 11*B*a*d**4 + 11*B*b*c*d**3 + a**5*d**8*(6*A + 11*B)/(a*d - b*c)**4 - 5*a**4*b*c*d**7*(6*A + 11*B)/(a*d - b*c)**4 + 10*a**3*b**2*c**2*d**6*(6*A + 11*B)/(a*d - b*c)**4 - 10*a**2*b**3*c**3*d**5*(6*A + 11*B)/(a*d - b*c)**4 + 5*a*b**4*c**4*d**4*(6*A + 11*B)/(a*d - b*c)**4 - b**5*c**5*d**3*(6*A + 11*B)/(a*d - b*c)**4)/(12*A*b*d**4 + 22*B*b*d**4))/(6*g**4*i*(a*d - b*c)**4) + (11*B*a**2*d**2 - 7*B*a*b*c*d + 15*B*a*b*d**2*x + 2*B*b**2*c**2 - 3*B*b**2*c*d*x + 6*B*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(6*a**6*d**3*g**4*i - 18*a**5*b*c*d**2*g**4*i + 18*a**5*b*d**3*g**4*i*x + 18*a**4*b**2*c**2*d*g**4*i - 54*a**4*b**2*c*d**2*g**4*i*x + 18*a**4*b**2*d**3*g**4*i*x**2 - 6*a**3*b**3*c**3*g**4*i + 54*a**3*b**3*c**2*d*g**4*i*x - 54*a**3*b**3*c*d**2*g**4*i*x**2 + 6*a**3*b**3*d**3*g**4*i*x**3 - 18*a**2*b**4*c**3*g**4*i*x + 54*a**2*b**4*c**2*d*g**4*i*x**2 - 18*a**2*b**4*c*d**2*g**4*i*x**3 - 18*a*b**5*c**3*g**4*i*x**2 + 18*a*b**5*c**2*d*g**4*i*x**3 - 6*b**6*c**3*g**4*i*x**3) + (66*A*a**2*d**2 - 42*A*a*b*c*d + 12*A*b**2*c**2 + 85*B*a**2*d**2 - 23*B*a*b*c*d + 4*B*b**2*c**2 + x**2*(36*A*b**2*d**2 + 66*B*b**2*d**2) + x*(90*A*a*b*d**2 - 18*A*b**2*c*d + 147*B*a*b*d**2 - 15*B*b**2*c*d))/(36*a**6*d**3*g**4*i - 108*a**5*b*c*d**2*g**4*i + 108*a**4*b**2*c**2*d*g**4*i - 36*a**3*b**3*c**3*g**4*i + x**3*(36*a**3*b**3*d**3*g**4*i - 108*a**2*b**4*c*d**2*g**4*i + 108*a*b**5*c**2*d*g**4*i - 36*b**6*c**3*g**4*i) + x**2*(108*a**4*b**2*d**3*g**4*i - 324*a**3*b**3*c*d**2*g**4*i + 324*a**2*b**4*c**2*d*g**4*i - 108*a*b**5*c**3*g**4*i) + x*(108*a**5*b*d**3*g**4*i - 324*a**4*b**2*c*d**2*g**4*i + 324*a**3*b**3*c**2*d*g**4*i - 108*a**2*b**4*c**3*g**4*i))","B",0
39,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,1,231,0,1.518535," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**2,x)","\frac{B b \log{\left(x + \frac{- \frac{B a^{2} b d^{2}}{a d - b c} + \frac{2 B a b^{2} c d}{a d - b c} + B a b d - \frac{B b^{3} c^{2}}{a d - b c} + B b^{2} c}{2 B b^{2} d} \right)}}{d i^{2} \left(a d - b c\right)} - \frac{B b \log{\left(x + \frac{\frac{B a^{2} b d^{2}}{a d - b c} - \frac{2 B a b^{2} c d}{a d - b c} + B a b d + \frac{B b^{3} c^{2}}{a d - b c} + B b^{2} c}{2 B b^{2} d} \right)}}{d i^{2} \left(a d - b c\right)} - \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{c d i^{2} + d^{2} i^{2} x} + \frac{- A + B}{c d i^{2} + d^{2} i^{2} x}"," ",0,"B*b*log(x + (-B*a**2*b*d**2/(a*d - b*c) + 2*B*a*b**2*c*d/(a*d - b*c) + B*a*b*d - B*b**3*c**2/(a*d - b*c) + B*b**2*c)/(2*B*b**2*d))/(d*i**2*(a*d - b*c)) - B*b*log(x + (B*a**2*b*d**2/(a*d - b*c) - 2*B*a*b**2*c*d/(a*d - b*c) + B*a*b*d + B*b**3*c**2/(a*d - b*c) + B*b**2*c)/(2*B*b**2*d))/(d*i**2*(a*d - b*c)) - B*log(e*(a + b*x)/(c + d*x))/(c*d*i**2 + d**2*i**2*x) + (-A + B)/(c*d*i**2 + d**2*i**2*x)","B",0
43,1,386,0,2.497401," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i)**2,x)","\frac{B b \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{2} d^{2} g i^{2} - 4 a b c d g i^{2} + 2 b^{2} c^{2} g i^{2}} - \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a c d g i^{2} + a d^{2} g i^{2} x - b c^{2} g i^{2} - b c d g i^{2} x} + \left(A - B\right) \left(- \frac{b \log{\left(x + \frac{- \frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} - \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d + \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{g i^{2} \left(a d - b c\right)^{2}} + \frac{b \log{\left(x + \frac{\frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} + \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d - \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{g i^{2} \left(a d - b c\right)^{2}} - \frac{1}{a c d g i^{2} - b c^{2} g i^{2} + x \left(a d^{2} g i^{2} - b c d g i^{2}\right)}\right)"," ",0,"B*b*log(e*(a + b*x)/(c + d*x))**2/(2*a**2*d**2*g*i**2 - 4*a*b*c*d*g*i**2 + 2*b**2*c**2*g*i**2) - B*log(e*(a + b*x)/(c + d*x))/(a*c*d*g*i**2 + a*d**2*g*i**2*x - b*c**2*g*i**2 - b*c*d*g*i**2*x) + (A - B)*(-b*log(x + (-a**3*b*d**3/(a*d - b*c)**2 + 3*a**2*b**2*c*d**2/(a*d - b*c)**2 - 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d + b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(g*i**2*(a*d - b*c)**2) + b*log(x + (a**3*b*d**3/(a*d - b*c)**2 - 3*a**2*b**2*c*d**2/(a*d - b*c)**2 + 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d - b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(g*i**2*(a*d - b*c)**2) - 1/(a*c*d*g*i**2 - b*c**2*g*i**2 + x*(a*d**2*g*i**2 - b*c*d*g*i**2)))","B",0
44,1,828,0,5.836636," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2/(d*i*x+c*i)**2,x)","- \frac{2 A b d \log{\left(x + \frac{- \frac{2 A a^{4} b d^{5}}{\left(a d - b c\right)^{3}} + \frac{8 A a^{3} b^{2} c d^{4}}{\left(a d - b c\right)^{3}} - \frac{12 A a^{2} b^{3} c^{2} d^{3}}{\left(a d - b c\right)^{3}} + \frac{8 A a b^{4} c^{3} d^{2}}{\left(a d - b c\right)^{3}} + 2 A a b d^{2} - \frac{2 A b^{5} c^{4} d}{\left(a d - b c\right)^{3}} + 2 A b^{2} c d}{4 A b^{2} d^{2}} \right)}}{g^{2} i^{2} \left(a d - b c\right)^{3}} + \frac{2 A b d \log{\left(x + \frac{\frac{2 A a^{4} b d^{5}}{\left(a d - b c\right)^{3}} - \frac{8 A a^{3} b^{2} c d^{4}}{\left(a d - b c\right)^{3}} + \frac{12 A a^{2} b^{3} c^{2} d^{3}}{\left(a d - b c\right)^{3}} - \frac{8 A a b^{4} c^{3} d^{2}}{\left(a d - b c\right)^{3}} + 2 A a b d^{2} + \frac{2 A b^{5} c^{4} d}{\left(a d - b c\right)^{3}} + 2 A b^{2} c d}{4 A b^{2} d^{2}} \right)}}{g^{2} i^{2} \left(a d - b c\right)^{3}} + \frac{B b d \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{3} d^{3} g^{2} i^{2} - 3 a^{2} b c d^{2} g^{2} i^{2} + 3 a b^{2} c^{2} d g^{2} i^{2} - b^{3} c^{3} g^{2} i^{2}} + \frac{\left(- B a d - B b c - 2 B b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a^{3} c d^{2} g^{2} i^{2} + a^{3} d^{3} g^{2} i^{2} x - 2 a^{2} b c^{2} d g^{2} i^{2} - a^{2} b c d^{2} g^{2} i^{2} x + a^{2} b d^{3} g^{2} i^{2} x^{2} + a b^{2} c^{3} g^{2} i^{2} - a b^{2} c^{2} d g^{2} i^{2} x - 2 a b^{2} c d^{2} g^{2} i^{2} x^{2} + b^{3} c^{3} g^{2} i^{2} x + b^{3} c^{2} d g^{2} i^{2} x^{2}} - \frac{A a d + A b c + 2 A b d x - B a d + B b c}{a^{3} c d^{2} g^{2} i^{2} - 2 a^{2} b c^{2} d g^{2} i^{2} + a b^{2} c^{3} g^{2} i^{2} + x^{2} \left(a^{2} b d^{3} g^{2} i^{2} - 2 a b^{2} c d^{2} g^{2} i^{2} + b^{3} c^{2} d g^{2} i^{2}\right) + x \left(a^{3} d^{3} g^{2} i^{2} - a^{2} b c d^{2} g^{2} i^{2} - a b^{2} c^{2} d g^{2} i^{2} + b^{3} c^{3} g^{2} i^{2}\right)}"," ",0,"-2*A*b*d*log(x + (-2*A*a**4*b*d**5/(a*d - b*c)**3 + 8*A*a**3*b**2*c*d**4/(a*d - b*c)**3 - 12*A*a**2*b**3*c**2*d**3/(a*d - b*c)**3 + 8*A*a*b**4*c**3*d**2/(a*d - b*c)**3 + 2*A*a*b*d**2 - 2*A*b**5*c**4*d/(a*d - b*c)**3 + 2*A*b**2*c*d)/(4*A*b**2*d**2))/(g**2*i**2*(a*d - b*c)**3) + 2*A*b*d*log(x + (2*A*a**4*b*d**5/(a*d - b*c)**3 - 8*A*a**3*b**2*c*d**4/(a*d - b*c)**3 + 12*A*a**2*b**3*c**2*d**3/(a*d - b*c)**3 - 8*A*a*b**4*c**3*d**2/(a*d - b*c)**3 + 2*A*a*b*d**2 + 2*A*b**5*c**4*d/(a*d - b*c)**3 + 2*A*b**2*c*d)/(4*A*b**2*d**2))/(g**2*i**2*(a*d - b*c)**3) + B*b*d*log(e*(a + b*x)/(c + d*x))**2/(a**3*d**3*g**2*i**2 - 3*a**2*b*c*d**2*g**2*i**2 + 3*a*b**2*c**2*d*g**2*i**2 - b**3*c**3*g**2*i**2) + (-B*a*d - B*b*c - 2*B*b*d*x)*log(e*(a + b*x)/(c + d*x))/(a**3*c*d**2*g**2*i**2 + a**3*d**3*g**2*i**2*x - 2*a**2*b*c**2*d*g**2*i**2 - a**2*b*c*d**2*g**2*i**2*x + a**2*b*d**3*g**2*i**2*x**2 + a*b**2*c**3*g**2*i**2 - a*b**2*c**2*d*g**2*i**2*x - 2*a*b**2*c*d**2*g**2*i**2*x**2 + b**3*c**3*g**2*i**2*x + b**3*c**2*d*g**2*i**2*x**2) - (A*a*d + A*b*c + 2*A*b*d*x - B*a*d + B*b*c)/(a**3*c*d**2*g**2*i**2 - 2*a**2*b*c**2*d*g**2*i**2 + a*b**2*c**3*g**2*i**2 + x**2*(a**2*b*d**3*g**2*i**2 - 2*a*b**2*c*d**2*g**2*i**2 + b**3*c**2*d*g**2*i**2) + x*(a**3*d**3*g**2*i**2 - a**2*b*c*d**2*g**2*i**2 - a*b**2*c**2*d*g**2*i**2 + b**3*c**3*g**2*i**2))","B",0
45,1,1562,0,52.281970," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3/(d*i*x+c*i)**2,x)","\frac{3 B b d^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{4} d^{4} g^{3} i^{2} - 8 a^{3} b c d^{3} g^{3} i^{2} + 12 a^{2} b^{2} c^{2} d^{2} g^{3} i^{2} - 8 a b^{3} c^{3} d g^{3} i^{2} + 2 b^{4} c^{4} g^{3} i^{2}} - \frac{3 b d^{2} \left(2 A + B\right) \log{\left(x + \frac{6 A a b d^{3} + 6 A b^{2} c d^{2} + 3 B a b d^{3} + 3 B b^{2} c d^{2} - \frac{3 a^{5} b d^{7} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} + \frac{15 a^{4} b^{2} c d^{6} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} - \frac{30 a^{3} b^{3} c^{2} d^{5} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{2} b^{4} c^{3} d^{4} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} - \frac{15 a b^{5} c^{4} d^{3} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} + \frac{3 b^{6} c^{5} d^{2} \left(2 A + B\right)}{\left(a d - b c\right)^{4}}}{12 A b^{2} d^{3} + 6 B b^{2} d^{3}} \right)}}{2 g^{3} i^{2} \left(a d - b c\right)^{4}} + \frac{3 b d^{2} \left(2 A + B\right) \log{\left(x + \frac{6 A a b d^{3} + 6 A b^{2} c d^{2} + 3 B a b d^{3} + 3 B b^{2} c d^{2} + \frac{3 a^{5} b d^{7} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} - \frac{15 a^{4} b^{2} c d^{6} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{3} b^{3} c^{2} d^{5} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} - \frac{30 a^{2} b^{4} c^{3} d^{4} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} + \frac{15 a b^{5} c^{4} d^{3} \left(2 A + B\right)}{\left(a d - b c\right)^{4}} - \frac{3 b^{6} c^{5} d^{2} \left(2 A + B\right)}{\left(a d - b c\right)^{4}}}{12 A b^{2} d^{3} + 6 B b^{2} d^{3}} \right)}}{2 g^{3} i^{2} \left(a d - b c\right)^{4}} + \frac{\left(- 2 B a^{2} d^{2} - 5 B a b c d - 9 B a b d^{2} x + B b^{2} c^{2} - 3 B b^{2} c d x - 6 B b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{5} c d^{3} g^{3} i^{2} + 2 a^{5} d^{4} g^{3} i^{2} x - 6 a^{4} b c^{2} d^{2} g^{3} i^{2} - 2 a^{4} b c d^{3} g^{3} i^{2} x + 4 a^{4} b d^{4} g^{3} i^{2} x^{2} + 6 a^{3} b^{2} c^{3} d g^{3} i^{2} - 6 a^{3} b^{2} c^{2} d^{2} g^{3} i^{2} x - 10 a^{3} b^{2} c d^{3} g^{3} i^{2} x^{2} + 2 a^{3} b^{2} d^{4} g^{3} i^{2} x^{3} - 2 a^{2} b^{3} c^{4} g^{3} i^{2} + 10 a^{2} b^{3} c^{3} d g^{3} i^{2} x + 6 a^{2} b^{3} c^{2} d^{2} g^{3} i^{2} x^{2} - 6 a^{2} b^{3} c d^{3} g^{3} i^{2} x^{3} - 4 a b^{4} c^{4} g^{3} i^{2} x + 2 a b^{4} c^{3} d g^{3} i^{2} x^{2} + 6 a b^{4} c^{2} d^{2} g^{3} i^{2} x^{3} - 2 b^{5} c^{4} g^{3} i^{2} x^{2} - 2 b^{5} c^{3} d g^{3} i^{2} x^{3}} - \frac{4 A a^{2} d^{2} + 10 A a b c d - 2 A b^{2} c^{2} - 4 B a^{2} d^{2} + 11 B a b c d - B b^{2} c^{2} + x^{2} \left(12 A b^{2} d^{2} + 6 B b^{2} d^{2}\right) + x \left(18 A a b d^{2} + 6 A b^{2} c d + 3 B a b d^{2} + 9 B b^{2} c d\right)}{4 a^{5} c d^{3} g^{3} i^{2} - 12 a^{4} b c^{2} d^{2} g^{3} i^{2} + 12 a^{3} b^{2} c^{3} d g^{3} i^{2} - 4 a^{2} b^{3} c^{4} g^{3} i^{2} + x^{3} \left(4 a^{3} b^{2} d^{4} g^{3} i^{2} - 12 a^{2} b^{3} c d^{3} g^{3} i^{2} + 12 a b^{4} c^{2} d^{2} g^{3} i^{2} - 4 b^{5} c^{3} d g^{3} i^{2}\right) + x^{2} \left(8 a^{4} b d^{4} g^{3} i^{2} - 20 a^{3} b^{2} c d^{3} g^{3} i^{2} + 12 a^{2} b^{3} c^{2} d^{2} g^{3} i^{2} + 4 a b^{4} c^{3} d g^{3} i^{2} - 4 b^{5} c^{4} g^{3} i^{2}\right) + x \left(4 a^{5} d^{4} g^{3} i^{2} - 4 a^{4} b c d^{3} g^{3} i^{2} - 12 a^{3} b^{2} c^{2} d^{2} g^{3} i^{2} + 20 a^{2} b^{3} c^{3} d g^{3} i^{2} - 8 a b^{4} c^{4} g^{3} i^{2}\right)}"," ",0,"3*B*b*d**2*log(e*(a + b*x)/(c + d*x))**2/(2*a**4*d**4*g**3*i**2 - 8*a**3*b*c*d**3*g**3*i**2 + 12*a**2*b**2*c**2*d**2*g**3*i**2 - 8*a*b**3*c**3*d*g**3*i**2 + 2*b**4*c**4*g**3*i**2) - 3*b*d**2*(2*A + B)*log(x + (6*A*a*b*d**3 + 6*A*b**2*c*d**2 + 3*B*a*b*d**3 + 3*B*b**2*c*d**2 - 3*a**5*b*d**7*(2*A + B)/(a*d - b*c)**4 + 15*a**4*b**2*c*d**6*(2*A + B)/(a*d - b*c)**4 - 30*a**3*b**3*c**2*d**5*(2*A + B)/(a*d - b*c)**4 + 30*a**2*b**4*c**3*d**4*(2*A + B)/(a*d - b*c)**4 - 15*a*b**5*c**4*d**3*(2*A + B)/(a*d - b*c)**4 + 3*b**6*c**5*d**2*(2*A + B)/(a*d - b*c)**4)/(12*A*b**2*d**3 + 6*B*b**2*d**3))/(2*g**3*i**2*(a*d - b*c)**4) + 3*b*d**2*(2*A + B)*log(x + (6*A*a*b*d**3 + 6*A*b**2*c*d**2 + 3*B*a*b*d**3 + 3*B*b**2*c*d**2 + 3*a**5*b*d**7*(2*A + B)/(a*d - b*c)**4 - 15*a**4*b**2*c*d**6*(2*A + B)/(a*d - b*c)**4 + 30*a**3*b**3*c**2*d**5*(2*A + B)/(a*d - b*c)**4 - 30*a**2*b**4*c**3*d**4*(2*A + B)/(a*d - b*c)**4 + 15*a*b**5*c**4*d**3*(2*A + B)/(a*d - b*c)**4 - 3*b**6*c**5*d**2*(2*A + B)/(a*d - b*c)**4)/(12*A*b**2*d**3 + 6*B*b**2*d**3))/(2*g**3*i**2*(a*d - b*c)**4) + (-2*B*a**2*d**2 - 5*B*a*b*c*d - 9*B*a*b*d**2*x + B*b**2*c**2 - 3*B*b**2*c*d*x - 6*B*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(2*a**5*c*d**3*g**3*i**2 + 2*a**5*d**4*g**3*i**2*x - 6*a**4*b*c**2*d**2*g**3*i**2 - 2*a**4*b*c*d**3*g**3*i**2*x + 4*a**4*b*d**4*g**3*i**2*x**2 + 6*a**3*b**2*c**3*d*g**3*i**2 - 6*a**3*b**2*c**2*d**2*g**3*i**2*x - 10*a**3*b**2*c*d**3*g**3*i**2*x**2 + 2*a**3*b**2*d**4*g**3*i**2*x**3 - 2*a**2*b**3*c**4*g**3*i**2 + 10*a**2*b**3*c**3*d*g**3*i**2*x + 6*a**2*b**3*c**2*d**2*g**3*i**2*x**2 - 6*a**2*b**3*c*d**3*g**3*i**2*x**3 - 4*a*b**4*c**4*g**3*i**2*x + 2*a*b**4*c**3*d*g**3*i**2*x**2 + 6*a*b**4*c**2*d**2*g**3*i**2*x**3 - 2*b**5*c**4*g**3*i**2*x**2 - 2*b**5*c**3*d*g**3*i**2*x**3) - (4*A*a**2*d**2 + 10*A*a*b*c*d - 2*A*b**2*c**2 - 4*B*a**2*d**2 + 11*B*a*b*c*d - B*b**2*c**2 + x**2*(12*A*b**2*d**2 + 6*B*b**2*d**2) + x*(18*A*a*b*d**2 + 6*A*b**2*c*d + 3*B*a*b*d**2 + 9*B*b**2*c*d))/(4*a**5*c*d**3*g**3*i**2 - 12*a**4*b*c**2*d**2*g**3*i**2 + 12*a**3*b**2*c**3*d*g**3*i**2 - 4*a**2*b**3*c**4*g**3*i**2 + x**3*(4*a**3*b**2*d**4*g**3*i**2 - 12*a**2*b**3*c*d**3*g**3*i**2 + 12*a*b**4*c**2*d**2*g**3*i**2 - 4*b**5*c**3*d*g**3*i**2) + x**2*(8*a**4*b*d**4*g**3*i**2 - 20*a**3*b**2*c*d**3*g**3*i**2 + 12*a**2*b**3*c**2*d**2*g**3*i**2 + 4*a*b**4*c**3*d*g**3*i**2 - 4*b**5*c**4*g**3*i**2) + x*(4*a**5*d**4*g**3*i**2 - 4*a**4*b*c*d**3*g**3*i**2 - 12*a**3*b**2*c**2*d**2*g**3*i**2 + 20*a**2*b**3*c**3*d*g**3*i**2 - 8*a*b**4*c**4*g**3*i**2))","B",0
46,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**3,x)","\frac{g^{2} \left(\int \frac{A a^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{A b^{2} x^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A a b x}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx\right)}{i^{3}}"," ",0,"g**2*(Integral(A*a**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(A*b**2*x**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*a*b*x/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))/i**3","F",0
49,1,382,0,5.764636," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**3,x)","\frac{B b^{2} g \log{\left(x + \frac{- \frac{B a^{2} b^{2} d^{2} g}{a d - b c} + \frac{2 B a b^{3} c d g}{a d - b c} + B a b^{2} d g - \frac{B b^{4} c^{2} g}{a d - b c} + B b^{3} c g}{2 B b^{3} d g} \right)}}{2 d^{2} i^{3} \left(a d - b c\right)} - \frac{B b^{2} g \log{\left(x + \frac{\frac{B a^{2} b^{2} d^{2} g}{a d - b c} - \frac{2 B a b^{3} c d g}{a d - b c} + B a b^{2} d g + \frac{B b^{4} c^{2} g}{a d - b c} + B b^{3} c g}{2 B b^{3} d g} \right)}}{2 d^{2} i^{3} \left(a d - b c\right)} + \frac{- 2 A a d g - 2 A b c g + B a d g + B b c g + x \left(- 4 A b d g + 2 B b d g\right)}{4 c^{2} d^{2} i^{3} + 8 c d^{3} i^{3} x + 4 d^{4} i^{3} x^{2}} + \frac{\left(- B a d g - B b c g - 2 B b d g x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 c^{2} d^{2} i^{3} + 4 c d^{3} i^{3} x + 2 d^{4} i^{3} x^{2}}"," ",0,"B*b**2*g*log(x + (-B*a**2*b**2*d**2*g/(a*d - b*c) + 2*B*a*b**3*c*d*g/(a*d - b*c) + B*a*b**2*d*g - B*b**4*c**2*g/(a*d - b*c) + B*b**3*c*g)/(2*B*b**3*d*g))/(2*d**2*i**3*(a*d - b*c)) - B*b**2*g*log(x + (B*a**2*b**2*d**2*g/(a*d - b*c) - 2*B*a*b**3*c*d*g/(a*d - b*c) + B*a*b**2*d*g + B*b**4*c**2*g/(a*d - b*c) + B*b**3*c*g)/(2*B*b**3*d*g))/(2*d**2*i**3*(a*d - b*c)) + (-2*A*a*d*g - 2*A*b*c*g + B*a*d*g + B*b*c*g + x*(-4*A*b*d*g + 2*B*b*d*g))/(4*c**2*d**2*i**3 + 8*c*d**3*i**3*x + 4*d**4*i**3*x**2) + (-B*a*d*g - B*b*c*g - 2*B*b*d*g*x)*log(e*(a + b*x)/(c + d*x))/(2*c**2*d**2*i**3 + 4*c*d**3*i**3*x + 2*d**4*i**3*x**2)","B",0
50,1,422,0,2.581814," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(d*i*x+c*i)**3,x)","- \frac{B b^{2} \log{\left(x + \frac{- \frac{B a^{3} b^{2} d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b^{3} c d^{2}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{4} c^{2} d}{\left(a d - b c\right)^{2}} + B a b^{2} d + \frac{B b^{5} c^{3}}{\left(a d - b c\right)^{2}} + B b^{3} c}{2 B b^{3} d} \right)}}{2 d i^{3} \left(a d - b c\right)^{2}} + \frac{B b^{2} \log{\left(x + \frac{\frac{B a^{3} b^{2} d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b^{3} c d^{2}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{4} c^{2} d}{\left(a d - b c\right)^{2}} + B a b^{2} d - \frac{B b^{5} c^{3}}{\left(a d - b c\right)^{2}} + B b^{3} c}{2 B b^{3} d} \right)}}{2 d i^{3} \left(a d - b c\right)^{2}} - \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 c^{2} d i^{3} + 4 c d^{2} i^{3} x + 2 d^{3} i^{3} x^{2}} + \frac{- 2 A a d + 2 A b c + B a d - 3 B b c - 2 B b d x}{4 a c^{2} d^{2} i^{3} - 4 b c^{3} d i^{3} + x^{2} \left(4 a d^{4} i^{3} - 4 b c d^{3} i^{3}\right) + x \left(8 a c d^{3} i^{3} - 8 b c^{2} d^{2} i^{3}\right)}"," ",0,"-B*b**2*log(x + (-B*a**3*b**2*d**3/(a*d - b*c)**2 + 3*B*a**2*b**3*c*d**2/(a*d - b*c)**2 - 3*B*a*b**4*c**2*d/(a*d - b*c)**2 + B*a*b**2*d + B*b**5*c**3/(a*d - b*c)**2 + B*b**3*c)/(2*B*b**3*d))/(2*d*i**3*(a*d - b*c)**2) + B*b**2*log(x + (B*a**3*b**2*d**3/(a*d - b*c)**2 - 3*B*a**2*b**3*c*d**2/(a*d - b*c)**2 + 3*B*a*b**4*c**2*d/(a*d - b*c)**2 + B*a*b**2*d - B*b**5*c**3/(a*d - b*c)**2 + B*b**3*c)/(2*B*b**3*d))/(2*d*i**3*(a*d - b*c)**2) - B*log(e*(a + b*x)/(c + d*x))/(2*c**2*d*i**3 + 4*c*d**2*i**3*x + 2*d**3*i**3*x**2) + (-2*A*a*d + 2*A*b*c + B*a*d - 3*B*b*c - 2*B*b*d*x)/(4*a*c**2*d**2*i**3 - 4*b*c**3*d*i**3 + x**2*(4*a*d**4*i**3 - 4*b*c*d**3*i**3) + x*(8*a*c*d**3*i**3 - 8*b*c**2*d**2*i**3))","B",0
51,1,889,0,6.988381," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)/(d*i*x+c*i)**3,x)","- \frac{B b^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{3} d^{3} g i^{3} - 6 a^{2} b c d^{2} g i^{3} + 6 a b^{2} c^{2} d g i^{3} - 2 b^{3} c^{3} g i^{3}} + \frac{b^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A a b^{2} d + 2 A b^{3} c - 3 B a b^{2} d - 3 B b^{3} c - \frac{a^{4} b^{2} d^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b^{3} c d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{4} c^{2} d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 a b^{5} c^{3} d \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{b^{6} c^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}}}{4 A b^{3} d - 6 B b^{3} d} \right)}}{2 g i^{3} \left(a d - b c\right)^{3}} - \frac{b^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A a b^{2} d + 2 A b^{3} c - 3 B a b^{2} d - 3 B b^{3} c + \frac{a^{4} b^{2} d^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{3} c d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{4} c^{2} d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 a b^{5} c^{3} d \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}} + \frac{b^{6} c^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{3}}}{4 A b^{3} d - 6 B b^{3} d} \right)}}{2 g i^{3} \left(a d - b c\right)^{3}} + \frac{\left(- B a d + 3 B b c + 2 B b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{2} c^{2} d^{2} g i^{3} + 4 a^{2} c d^{3} g i^{3} x + 2 a^{2} d^{4} g i^{3} x^{2} - 4 a b c^{3} d g i^{3} - 8 a b c^{2} d^{2} g i^{3} x - 4 a b c d^{3} g i^{3} x^{2} + 2 b^{2} c^{4} g i^{3} + 4 b^{2} c^{3} d g i^{3} x + 2 b^{2} c^{2} d^{2} g i^{3} x^{2}} + \frac{- 2 A a d + 6 A b c + B a d - 7 B b c + x \left(4 A b d - 6 B b d\right)}{4 a^{2} c^{2} d^{2} g i^{3} - 8 a b c^{3} d g i^{3} + 4 b^{2} c^{4} g i^{3} + x^{2} \left(4 a^{2} d^{4} g i^{3} - 8 a b c d^{3} g i^{3} + 4 b^{2} c^{2} d^{2} g i^{3}\right) + x \left(8 a^{2} c d^{3} g i^{3} - 16 a b c^{2} d^{2} g i^{3} + 8 b^{2} c^{3} d g i^{3}\right)}"," ",0,"-B*b**2*log(e*(a + b*x)/(c + d*x))**2/(2*a**3*d**3*g*i**3 - 6*a**2*b*c*d**2*g*i**3 + 6*a*b**2*c**2*d*g*i**3 - 2*b**3*c**3*g*i**3) + b**2*(2*A - 3*B)*log(x + (2*A*a*b**2*d + 2*A*b**3*c - 3*B*a*b**2*d - 3*B*b**3*c - a**4*b**2*d**4*(2*A - 3*B)/(a*d - b*c)**3 + 4*a**3*b**3*c*d**3*(2*A - 3*B)/(a*d - b*c)**3 - 6*a**2*b**4*c**2*d**2*(2*A - 3*B)/(a*d - b*c)**3 + 4*a*b**5*c**3*d*(2*A - 3*B)/(a*d - b*c)**3 - b**6*c**4*(2*A - 3*B)/(a*d - b*c)**3)/(4*A*b**3*d - 6*B*b**3*d))/(2*g*i**3*(a*d - b*c)**3) - b**2*(2*A - 3*B)*log(x + (2*A*a*b**2*d + 2*A*b**3*c - 3*B*a*b**2*d - 3*B*b**3*c + a**4*b**2*d**4*(2*A - 3*B)/(a*d - b*c)**3 - 4*a**3*b**3*c*d**3*(2*A - 3*B)/(a*d - b*c)**3 + 6*a**2*b**4*c**2*d**2*(2*A - 3*B)/(a*d - b*c)**3 - 4*a*b**5*c**3*d*(2*A - 3*B)/(a*d - b*c)**3 + b**6*c**4*(2*A - 3*B)/(a*d - b*c)**3)/(4*A*b**3*d - 6*B*b**3*d))/(2*g*i**3*(a*d - b*c)**3) + (-B*a*d + 3*B*b*c + 2*B*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a**2*c**2*d**2*g*i**3 + 4*a**2*c*d**3*g*i**3*x + 2*a**2*d**4*g*i**3*x**2 - 4*a*b*c**3*d*g*i**3 - 8*a*b*c**2*d**2*g*i**3*x - 4*a*b*c*d**3*g*i**3*x**2 + 2*b**2*c**4*g*i**3 + 4*b**2*c**3*d*g*i**3*x + 2*b**2*c**2*d**2*g*i**3*x**2) + (-2*A*a*d + 6*A*b*c + B*a*d - 7*B*b*c + x*(4*A*b*d - 6*B*b*d))/(4*a**2*c**2*d**2*g*i**3 - 8*a*b*c**3*d*g*i**3 + 4*b**2*c**4*g*i**3 + x**2*(4*a**2*d**4*g*i**3 - 8*a*b*c*d**3*g*i**3 + 4*b**2*c**2*d**2*g*i**3) + x*(8*a**2*c*d**3*g*i**3 - 16*a*b*c**2*d**2*g*i**3 + 8*b**2*c**3*d*g*i**3))","B",0
52,1,1562,0,50.558007," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2/(d*i*x+c*i)**3,x)","- \frac{3 B b^{2} d \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{4} d^{4} g^{2} i^{3} - 8 a^{3} b c d^{3} g^{2} i^{3} + 12 a^{2} b^{2} c^{2} d^{2} g^{2} i^{3} - 8 a b^{3} c^{3} d g^{2} i^{3} + 2 b^{4} c^{4} g^{2} i^{3}} + \frac{3 b^{2} d \left(2 A - B\right) \log{\left(x + \frac{6 A a b^{2} d^{2} + 6 A b^{3} c d - 3 B a b^{2} d^{2} - 3 B b^{3} c d - \frac{3 a^{5} b^{2} d^{6} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} + \frac{15 a^{4} b^{3} c d^{5} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} - \frac{30 a^{3} b^{4} c^{2} d^{4} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{2} b^{5} c^{3} d^{3} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} - \frac{15 a b^{6} c^{4} d^{2} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} + \frac{3 b^{7} c^{5} d \left(2 A - B\right)}{\left(a d - b c\right)^{4}}}{12 A b^{3} d^{2} - 6 B b^{3} d^{2}} \right)}}{2 g^{2} i^{3} \left(a d - b c\right)^{4}} - \frac{3 b^{2} d \left(2 A - B\right) \log{\left(x + \frac{6 A a b^{2} d^{2} + 6 A b^{3} c d - 3 B a b^{2} d^{2} - 3 B b^{3} c d + \frac{3 a^{5} b^{2} d^{6} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} - \frac{15 a^{4} b^{3} c d^{5} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} + \frac{30 a^{3} b^{4} c^{2} d^{4} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} - \frac{30 a^{2} b^{5} c^{3} d^{3} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} + \frac{15 a b^{6} c^{4} d^{2} \left(2 A - B\right)}{\left(a d - b c\right)^{4}} - \frac{3 b^{7} c^{5} d \left(2 A - B\right)}{\left(a d - b c\right)^{4}}}{12 A b^{3} d^{2} - 6 B b^{3} d^{2}} \right)}}{2 g^{2} i^{3} \left(a d - b c\right)^{4}} + \frac{\left(- B a^{2} d^{2} + 5 B a b c d + 3 B a b d^{2} x + 2 B b^{2} c^{2} + 9 B b^{2} c d x + 6 B b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{4} c^{2} d^{3} g^{2} i^{3} + 4 a^{4} c d^{4} g^{2} i^{3} x + 2 a^{4} d^{5} g^{2} i^{3} x^{2} - 6 a^{3} b c^{3} d^{2} g^{2} i^{3} - 10 a^{3} b c^{2} d^{3} g^{2} i^{3} x - 2 a^{3} b c d^{4} g^{2} i^{3} x^{2} + 2 a^{3} b d^{5} g^{2} i^{3} x^{3} + 6 a^{2} b^{2} c^{4} d g^{2} i^{3} + 6 a^{2} b^{2} c^{3} d^{2} g^{2} i^{3} x - 6 a^{2} b^{2} c^{2} d^{3} g^{2} i^{3} x^{2} - 6 a^{2} b^{2} c d^{4} g^{2} i^{3} x^{3} - 2 a b^{3} c^{5} g^{2} i^{3} + 2 a b^{3} c^{4} d g^{2} i^{3} x + 10 a b^{3} c^{3} d^{2} g^{2} i^{3} x^{2} + 6 a b^{3} c^{2} d^{3} g^{2} i^{3} x^{3} - 2 b^{4} c^{5} g^{2} i^{3} x - 4 b^{4} c^{4} d g^{2} i^{3} x^{2} - 2 b^{4} c^{3} d^{2} g^{2} i^{3} x^{3}} + \frac{- 2 A a^{2} d^{2} + 10 A a b c d + 4 A b^{2} c^{2} + B a^{2} d^{2} - 11 B a b c d + 4 B b^{2} c^{2} + x^{2} \left(12 A b^{2} d^{2} - 6 B b^{2} d^{2}\right) + x \left(6 A a b d^{2} + 18 A b^{2} c d - 9 B a b d^{2} - 3 B b^{2} c d\right)}{4 a^{4} c^{2} d^{3} g^{2} i^{3} - 12 a^{3} b c^{3} d^{2} g^{2} i^{3} + 12 a^{2} b^{2} c^{4} d g^{2} i^{3} - 4 a b^{3} c^{5} g^{2} i^{3} + x^{3} \left(4 a^{3} b d^{5} g^{2} i^{3} - 12 a^{2} b^{2} c d^{4} g^{2} i^{3} + 12 a b^{3} c^{2} d^{3} g^{2} i^{3} - 4 b^{4} c^{3} d^{2} g^{2} i^{3}\right) + x^{2} \left(4 a^{4} d^{5} g^{2} i^{3} - 4 a^{3} b c d^{4} g^{2} i^{3} - 12 a^{2} b^{2} c^{2} d^{3} g^{2} i^{3} + 20 a b^{3} c^{3} d^{2} g^{2} i^{3} - 8 b^{4} c^{4} d g^{2} i^{3}\right) + x \left(8 a^{4} c d^{4} g^{2} i^{3} - 20 a^{3} b c^{2} d^{3} g^{2} i^{3} + 12 a^{2} b^{2} c^{3} d^{2} g^{2} i^{3} + 4 a b^{3} c^{4} d g^{2} i^{3} - 4 b^{4} c^{5} g^{2} i^{3}\right)}"," ",0,"-3*B*b**2*d*log(e*(a + b*x)/(c + d*x))**2/(2*a**4*d**4*g**2*i**3 - 8*a**3*b*c*d**3*g**2*i**3 + 12*a**2*b**2*c**2*d**2*g**2*i**3 - 8*a*b**3*c**3*d*g**2*i**3 + 2*b**4*c**4*g**2*i**3) + 3*b**2*d*(2*A - B)*log(x + (6*A*a*b**2*d**2 + 6*A*b**3*c*d - 3*B*a*b**2*d**2 - 3*B*b**3*c*d - 3*a**5*b**2*d**6*(2*A - B)/(a*d - b*c)**4 + 15*a**4*b**3*c*d**5*(2*A - B)/(a*d - b*c)**4 - 30*a**3*b**4*c**2*d**4*(2*A - B)/(a*d - b*c)**4 + 30*a**2*b**5*c**3*d**3*(2*A - B)/(a*d - b*c)**4 - 15*a*b**6*c**4*d**2*(2*A - B)/(a*d - b*c)**4 + 3*b**7*c**5*d*(2*A - B)/(a*d - b*c)**4)/(12*A*b**3*d**2 - 6*B*b**3*d**2))/(2*g**2*i**3*(a*d - b*c)**4) - 3*b**2*d*(2*A - B)*log(x + (6*A*a*b**2*d**2 + 6*A*b**3*c*d - 3*B*a*b**2*d**2 - 3*B*b**3*c*d + 3*a**5*b**2*d**6*(2*A - B)/(a*d - b*c)**4 - 15*a**4*b**3*c*d**5*(2*A - B)/(a*d - b*c)**4 + 30*a**3*b**4*c**2*d**4*(2*A - B)/(a*d - b*c)**4 - 30*a**2*b**5*c**3*d**3*(2*A - B)/(a*d - b*c)**4 + 15*a*b**6*c**4*d**2*(2*A - B)/(a*d - b*c)**4 - 3*b**7*c**5*d*(2*A - B)/(a*d - b*c)**4)/(12*A*b**3*d**2 - 6*B*b**3*d**2))/(2*g**2*i**3*(a*d - b*c)**4) + (-B*a**2*d**2 + 5*B*a*b*c*d + 3*B*a*b*d**2*x + 2*B*b**2*c**2 + 9*B*b**2*c*d*x + 6*B*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(2*a**4*c**2*d**3*g**2*i**3 + 4*a**4*c*d**4*g**2*i**3*x + 2*a**4*d**5*g**2*i**3*x**2 - 6*a**3*b*c**3*d**2*g**2*i**3 - 10*a**3*b*c**2*d**3*g**2*i**3*x - 2*a**3*b*c*d**4*g**2*i**3*x**2 + 2*a**3*b*d**5*g**2*i**3*x**3 + 6*a**2*b**2*c**4*d*g**2*i**3 + 6*a**2*b**2*c**3*d**2*g**2*i**3*x - 6*a**2*b**2*c**2*d**3*g**2*i**3*x**2 - 6*a**2*b**2*c*d**4*g**2*i**3*x**3 - 2*a*b**3*c**5*g**2*i**3 + 2*a*b**3*c**4*d*g**2*i**3*x + 10*a*b**3*c**3*d**2*g**2*i**3*x**2 + 6*a*b**3*c**2*d**3*g**2*i**3*x**3 - 2*b**4*c**5*g**2*i**3*x - 4*b**4*c**4*d*g**2*i**3*x**2 - 2*b**4*c**3*d**2*g**2*i**3*x**3) + (-2*A*a**2*d**2 + 10*A*a*b*c*d + 4*A*b**2*c**2 + B*a**2*d**2 - 11*B*a*b*c*d + 4*B*b**2*c**2 + x**2*(12*A*b**2*d**2 - 6*B*b**2*d**2) + x*(6*A*a*b*d**2 + 18*A*b**2*c*d - 9*B*a*b*d**2 - 3*B*b**2*c*d))/(4*a**4*c**2*d**3*g**2*i**3 - 12*a**3*b*c**3*d**2*g**2*i**3 + 12*a**2*b**2*c**4*d*g**2*i**3 - 4*a*b**3*c**5*g**2*i**3 + x**3*(4*a**3*b*d**5*g**2*i**3 - 12*a**2*b**2*c*d**4*g**2*i**3 + 12*a*b**3*c**2*d**3*g**2*i**3 - 4*b**4*c**3*d**2*g**2*i**3) + x**2*(4*a**4*d**5*g**2*i**3 - 4*a**3*b*c*d**4*g**2*i**3 - 12*a**2*b**2*c**2*d**3*g**2*i**3 + 20*a*b**3*c**3*d**2*g**2*i**3 - 8*b**4*c**4*d*g**2*i**3) + x*(8*a**4*c*d**4*g**2*i**3 - 20*a**3*b*c**2*d**3*g**2*i**3 + 12*a**2*b**2*c**3*d**2*g**2*i**3 + 4*a*b**3*c**4*d*g**2*i**3 - 4*b**4*c**5*g**2*i**3))","B",0
53,1,2106,0,51.405550," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3/(d*i*x+c*i)**3,x)","\frac{6 A b^{2} d^{2} \log{\left(x + \frac{- \frac{6 A a^{6} b^{2} d^{8}}{\left(a d - b c\right)^{5}} + \frac{36 A a^{5} b^{3} c d^{7}}{\left(a d - b c\right)^{5}} - \frac{90 A a^{4} b^{4} c^{2} d^{6}}{\left(a d - b c\right)^{5}} + \frac{120 A a^{3} b^{5} c^{3} d^{5}}{\left(a d - b c\right)^{5}} - \frac{90 A a^{2} b^{6} c^{4} d^{4}}{\left(a d - b c\right)^{5}} + \frac{36 A a b^{7} c^{5} d^{3}}{\left(a d - b c\right)^{5}} + 6 A a b^{2} d^{3} - \frac{6 A b^{8} c^{6} d^{2}}{\left(a d - b c\right)^{5}} + 6 A b^{3} c d^{2}}{12 A b^{3} d^{3}} \right)}}{g^{3} i^{3} \left(a d - b c\right)^{5}} - \frac{6 A b^{2} d^{2} \log{\left(x + \frac{\frac{6 A a^{6} b^{2} d^{8}}{\left(a d - b c\right)^{5}} - \frac{36 A a^{5} b^{3} c d^{7}}{\left(a d - b c\right)^{5}} + \frac{90 A a^{4} b^{4} c^{2} d^{6}}{\left(a d - b c\right)^{5}} - \frac{120 A a^{3} b^{5} c^{3} d^{5}}{\left(a d - b c\right)^{5}} + \frac{90 A a^{2} b^{6} c^{4} d^{4}}{\left(a d - b c\right)^{5}} - \frac{36 A a b^{7} c^{5} d^{3}}{\left(a d - b c\right)^{5}} + 6 A a b^{2} d^{3} + \frac{6 A b^{8} c^{6} d^{2}}{\left(a d - b c\right)^{5}} + 6 A b^{3} c d^{2}}{12 A b^{3} d^{3}} \right)}}{g^{3} i^{3} \left(a d - b c\right)^{5}} - \frac{3 B b^{2} d^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{5} d^{5} g^{3} i^{3} - 5 a^{4} b c d^{4} g^{3} i^{3} + 10 a^{3} b^{2} c^{2} d^{3} g^{3} i^{3} - 10 a^{2} b^{3} c^{3} d^{2} g^{3} i^{3} + 5 a b^{4} c^{4} d g^{3} i^{3} - b^{5} c^{5} g^{3} i^{3}} + \frac{\left(- B a^{3} d^{3} + 7 B a^{2} b c d^{2} + 4 B a^{2} b d^{3} x + 7 B a b^{2} c^{2} d + 28 B a b^{2} c d^{2} x + 18 B a b^{2} d^{3} x^{2} - B b^{3} c^{3} + 4 B b^{3} c^{2} d x + 18 B b^{3} c d^{2} x^{2} + 12 B b^{3} d^{3} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{6} c^{2} d^{4} g^{3} i^{3} + 4 a^{6} c d^{5} g^{3} i^{3} x + 2 a^{6} d^{6} g^{3} i^{3} x^{2} - 8 a^{5} b c^{3} d^{3} g^{3} i^{3} - 12 a^{5} b c^{2} d^{4} g^{3} i^{3} x + 4 a^{5} b d^{6} g^{3} i^{3} x^{3} + 12 a^{4} b^{2} c^{4} d^{2} g^{3} i^{3} + 8 a^{4} b^{2} c^{3} d^{3} g^{3} i^{3} x - 18 a^{4} b^{2} c^{2} d^{4} g^{3} i^{3} x^{2} - 12 a^{4} b^{2} c d^{5} g^{3} i^{3} x^{3} + 2 a^{4} b^{2} d^{6} g^{3} i^{3} x^{4} - 8 a^{3} b^{3} c^{5} d g^{3} i^{3} + 8 a^{3} b^{3} c^{4} d^{2} g^{3} i^{3} x + 32 a^{3} b^{3} c^{3} d^{3} g^{3} i^{3} x^{2} + 8 a^{3} b^{3} c^{2} d^{4} g^{3} i^{3} x^{3} - 8 a^{3} b^{3} c d^{5} g^{3} i^{3} x^{4} + 2 a^{2} b^{4} c^{6} g^{3} i^{3} - 12 a^{2} b^{4} c^{5} d g^{3} i^{3} x - 18 a^{2} b^{4} c^{4} d^{2} g^{3} i^{3} x^{2} + 8 a^{2} b^{4} c^{3} d^{3} g^{3} i^{3} x^{3} + 12 a^{2} b^{4} c^{2} d^{4} g^{3} i^{3} x^{4} + 4 a b^{5} c^{6} g^{3} i^{3} x - 12 a b^{5} c^{4} d^{2} g^{3} i^{3} x^{3} - 8 a b^{5} c^{3} d^{3} g^{3} i^{3} x^{4} + 2 b^{6} c^{6} g^{3} i^{3} x^{2} + 4 b^{6} c^{5} d g^{3} i^{3} x^{3} + 2 b^{6} c^{4} d^{2} g^{3} i^{3} x^{4}} + \frac{- 2 A a^{3} d^{3} + 14 A a^{2} b c d^{2} + 14 A a b^{2} c^{2} d - 2 A b^{3} c^{3} + 24 A b^{3} d^{3} x^{3} + B a^{3} d^{3} - 15 B a^{2} b c d^{2} + 15 B a b^{2} c^{2} d - B b^{3} c^{3} + x^{2} \left(36 A a b^{2} d^{3} + 36 A b^{3} c d^{2} - 12 B a b^{2} d^{3} + 12 B b^{3} c d^{2}\right) + x \left(8 A a^{2} b d^{3} + 56 A a b^{2} c d^{2} + 8 A b^{3} c^{2} d - 12 B a^{2} b d^{3} + 12 B b^{3} c^{2} d\right)}{4 a^{6} c^{2} d^{4} g^{3} i^{3} - 16 a^{5} b c^{3} d^{3} g^{3} i^{3} + 24 a^{4} b^{2} c^{4} d^{2} g^{3} i^{3} - 16 a^{3} b^{3} c^{5} d g^{3} i^{3} + 4 a^{2} b^{4} c^{6} g^{3} i^{3} + x^{4} \left(4 a^{4} b^{2} d^{6} g^{3} i^{3} - 16 a^{3} b^{3} c d^{5} g^{3} i^{3} + 24 a^{2} b^{4} c^{2} d^{4} g^{3} i^{3} - 16 a b^{5} c^{3} d^{3} g^{3} i^{3} + 4 b^{6} c^{4} d^{2} g^{3} i^{3}\right) + x^{3} \left(8 a^{5} b d^{6} g^{3} i^{3} - 24 a^{4} b^{2} c d^{5} g^{3} i^{3} + 16 a^{3} b^{3} c^{2} d^{4} g^{3} i^{3} + 16 a^{2} b^{4} c^{3} d^{3} g^{3} i^{3} - 24 a b^{5} c^{4} d^{2} g^{3} i^{3} + 8 b^{6} c^{5} d g^{3} i^{3}\right) + x^{2} \left(4 a^{6} d^{6} g^{3} i^{3} - 36 a^{4} b^{2} c^{2} d^{4} g^{3} i^{3} + 64 a^{3} b^{3} c^{3} d^{3} g^{3} i^{3} - 36 a^{2} b^{4} c^{4} d^{2} g^{3} i^{3} + 4 b^{6} c^{6} g^{3} i^{3}\right) + x \left(8 a^{6} c d^{5} g^{3} i^{3} - 24 a^{5} b c^{2} d^{4} g^{3} i^{3} + 16 a^{4} b^{2} c^{3} d^{3} g^{3} i^{3} + 16 a^{3} b^{3} c^{4} d^{2} g^{3} i^{3} - 24 a^{2} b^{4} c^{5} d g^{3} i^{3} + 8 a b^{5} c^{6} g^{3} i^{3}\right)}"," ",0,"6*A*b**2*d**2*log(x + (-6*A*a**6*b**2*d**8/(a*d - b*c)**5 + 36*A*a**5*b**3*c*d**7/(a*d - b*c)**5 - 90*A*a**4*b**4*c**2*d**6/(a*d - b*c)**5 + 120*A*a**3*b**5*c**3*d**5/(a*d - b*c)**5 - 90*A*a**2*b**6*c**4*d**4/(a*d - b*c)**5 + 36*A*a*b**7*c**5*d**3/(a*d - b*c)**5 + 6*A*a*b**2*d**3 - 6*A*b**8*c**6*d**2/(a*d - b*c)**5 + 6*A*b**3*c*d**2)/(12*A*b**3*d**3))/(g**3*i**3*(a*d - b*c)**5) - 6*A*b**2*d**2*log(x + (6*A*a**6*b**2*d**8/(a*d - b*c)**5 - 36*A*a**5*b**3*c*d**7/(a*d - b*c)**5 + 90*A*a**4*b**4*c**2*d**6/(a*d - b*c)**5 - 120*A*a**3*b**5*c**3*d**5/(a*d - b*c)**5 + 90*A*a**2*b**6*c**4*d**4/(a*d - b*c)**5 - 36*A*a*b**7*c**5*d**3/(a*d - b*c)**5 + 6*A*a*b**2*d**3 + 6*A*b**8*c**6*d**2/(a*d - b*c)**5 + 6*A*b**3*c*d**2)/(12*A*b**3*d**3))/(g**3*i**3*(a*d - b*c)**5) - 3*B*b**2*d**2*log(e*(a + b*x)/(c + d*x))**2/(a**5*d**5*g**3*i**3 - 5*a**4*b*c*d**4*g**3*i**3 + 10*a**3*b**2*c**2*d**3*g**3*i**3 - 10*a**2*b**3*c**3*d**2*g**3*i**3 + 5*a*b**4*c**4*d*g**3*i**3 - b**5*c**5*g**3*i**3) + (-B*a**3*d**3 + 7*B*a**2*b*c*d**2 + 4*B*a**2*b*d**3*x + 7*B*a*b**2*c**2*d + 28*B*a*b**2*c*d**2*x + 18*B*a*b**2*d**3*x**2 - B*b**3*c**3 + 4*B*b**3*c**2*d*x + 18*B*b**3*c*d**2*x**2 + 12*B*b**3*d**3*x**3)*log(e*(a + b*x)/(c + d*x))/(2*a**6*c**2*d**4*g**3*i**3 + 4*a**6*c*d**5*g**3*i**3*x + 2*a**6*d**6*g**3*i**3*x**2 - 8*a**5*b*c**3*d**3*g**3*i**3 - 12*a**5*b*c**2*d**4*g**3*i**3*x + 4*a**5*b*d**6*g**3*i**3*x**3 + 12*a**4*b**2*c**4*d**2*g**3*i**3 + 8*a**4*b**2*c**3*d**3*g**3*i**3*x - 18*a**4*b**2*c**2*d**4*g**3*i**3*x**2 - 12*a**4*b**2*c*d**5*g**3*i**3*x**3 + 2*a**4*b**2*d**6*g**3*i**3*x**4 - 8*a**3*b**3*c**5*d*g**3*i**3 + 8*a**3*b**3*c**4*d**2*g**3*i**3*x + 32*a**3*b**3*c**3*d**3*g**3*i**3*x**2 + 8*a**3*b**3*c**2*d**4*g**3*i**3*x**3 - 8*a**3*b**3*c*d**5*g**3*i**3*x**4 + 2*a**2*b**4*c**6*g**3*i**3 - 12*a**2*b**4*c**5*d*g**3*i**3*x - 18*a**2*b**4*c**4*d**2*g**3*i**3*x**2 + 8*a**2*b**4*c**3*d**3*g**3*i**3*x**3 + 12*a**2*b**4*c**2*d**4*g**3*i**3*x**4 + 4*a*b**5*c**6*g**3*i**3*x - 12*a*b**5*c**4*d**2*g**3*i**3*x**3 - 8*a*b**5*c**3*d**3*g**3*i**3*x**4 + 2*b**6*c**6*g**3*i**3*x**2 + 4*b**6*c**5*d*g**3*i**3*x**3 + 2*b**6*c**4*d**2*g**3*i**3*x**4) + (-2*A*a**3*d**3 + 14*A*a**2*b*c*d**2 + 14*A*a*b**2*c**2*d - 2*A*b**3*c**3 + 24*A*b**3*d**3*x**3 + B*a**3*d**3 - 15*B*a**2*b*c*d**2 + 15*B*a*b**2*c**2*d - B*b**3*c**3 + x**2*(36*A*a*b**2*d**3 + 36*A*b**3*c*d**2 - 12*B*a*b**2*d**3 + 12*B*b**3*c*d**2) + x*(8*A*a**2*b*d**3 + 56*A*a*b**2*c*d**2 + 8*A*b**3*c**2*d - 12*B*a**2*b*d**3 + 12*B*b**3*c**2*d))/(4*a**6*c**2*d**4*g**3*i**3 - 16*a**5*b*c**3*d**3*g**3*i**3 + 24*a**4*b**2*c**4*d**2*g**3*i**3 - 16*a**3*b**3*c**5*d*g**3*i**3 + 4*a**2*b**4*c**6*g**3*i**3 + x**4*(4*a**4*b**2*d**6*g**3*i**3 - 16*a**3*b**3*c*d**5*g**3*i**3 + 24*a**2*b**4*c**2*d**4*g**3*i**3 - 16*a*b**5*c**3*d**3*g**3*i**3 + 4*b**6*c**4*d**2*g**3*i**3) + x**3*(8*a**5*b*d**6*g**3*i**3 - 24*a**4*b**2*c*d**5*g**3*i**3 + 16*a**3*b**3*c**2*d**4*g**3*i**3 + 16*a**2*b**4*c**3*d**3*g**3*i**3 - 24*a*b**5*c**4*d**2*g**3*i**3 + 8*b**6*c**5*d*g**3*i**3) + x**2*(4*a**6*d**6*g**3*i**3 - 36*a**4*b**2*c**2*d**4*g**3*i**3 + 64*a**3*b**3*c**3*d**3*g**3*i**3 - 36*a**2*b**4*c**4*d**2*g**3*i**3 + 4*b**6*c**6*g**3*i**3) + x*(8*a**6*c*d**5*g**3*i**3 - 24*a**5*b*c**2*d**4*g**3*i**3 + 16*a**4*b**2*c**3*d**3*g**3*i**3 + 16*a**3*b**3*c**4*d**2*g**3*i**3 - 24*a**2*b**4*c**5*d*g**3*i**3 + 8*a*b**5*c**6*g**3*i**3))","B",0
54,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g),x)","\frac{i \left(\int \frac{A^{2} c}{a + b x}\, dx + \int \frac{A^{2} d x}{a + b x}\, dx + \int \frac{B^{2} c \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B c \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{B^{2} d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i*(Integral(A**2*c/(a + b*x), x) + Integral(A**2*d*x/(a + b*x), x) + Integral(B**2*c*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(2*A*B*c*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(B**2*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(2*A*B*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
60,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,1,714,0,14.310193," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3,x)","- \frac{B d^{2} i \left(2 A + B\right) \log{\left(x + \frac{2 A B a d^{3} i + 2 A B b c d^{2} i + B^{2} a d^{3} i + B^{2} b c d^{2} i - \frac{B a^{2} d^{4} i \left(2 A + B\right)}{a d - b c} + \frac{2 B a b c d^{3} i \left(2 A + B\right)}{a d - b c} - \frac{B b^{2} c^{2} d^{2} i \left(2 A + B\right)}{a d - b c}}{4 A B b d^{3} i + 2 B^{2} b d^{3} i} \right)}}{2 b^{2} g^{3} \left(a d - b c\right)} + \frac{B d^{2} i \left(2 A + B\right) \log{\left(x + \frac{2 A B a d^{3} i + 2 A B b c d^{2} i + B^{2} a d^{3} i + B^{2} b c d^{2} i + \frac{B a^{2} d^{4} i \left(2 A + B\right)}{a d - b c} - \frac{2 B a b c d^{3} i \left(2 A + B\right)}{a d - b c} + \frac{B b^{2} c^{2} d^{2} i \left(2 A + B\right)}{a d - b c}}{4 A B b d^{3} i + 2 B^{2} b d^{3} i} \right)}}{2 b^{2} g^{3} \left(a d - b c\right)} + \frac{\left(B^{2} c^{2} i + 2 B^{2} c d i x + B^{2} d^{2} i x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{3} d g^{3} - 2 a^{2} b c g^{3} + 4 a^{2} b d g^{3} x - 4 a b^{2} c g^{3} x + 2 a b^{2} d g^{3} x^{2} - 2 b^{3} c g^{3} x^{2}} + \frac{- 2 A^{2} a d i - 2 A^{2} b c i - 2 A B a d i - 2 A B b c i - B^{2} a d i - B^{2} b c i + x \left(- 4 A^{2} b d i - 4 A B b d i - 2 B^{2} b d i\right)}{4 a^{2} b^{2} g^{3} + 8 a b^{3} g^{3} x + 4 b^{4} g^{3} x^{2}} + \frac{\left(- 2 A B a d i - 2 A B b c i - 4 A B b d i x - B^{2} a d i - B^{2} b c i - 2 B^{2} b d i x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{2} b^{2} g^{3} + 4 a b^{3} g^{3} x + 2 b^{4} g^{3} x^{2}}"," ",0,"-B*d**2*i*(2*A + B)*log(x + (2*A*B*a*d**3*i + 2*A*B*b*c*d**2*i + B**2*a*d**3*i + B**2*b*c*d**2*i - B*a**2*d**4*i*(2*A + B)/(a*d - b*c) + 2*B*a*b*c*d**3*i*(2*A + B)/(a*d - b*c) - B*b**2*c**2*d**2*i*(2*A + B)/(a*d - b*c))/(4*A*B*b*d**3*i + 2*B**2*b*d**3*i))/(2*b**2*g**3*(a*d - b*c)) + B*d**2*i*(2*A + B)*log(x + (2*A*B*a*d**3*i + 2*A*B*b*c*d**2*i + B**2*a*d**3*i + B**2*b*c*d**2*i + B*a**2*d**4*i*(2*A + B)/(a*d - b*c) - 2*B*a*b*c*d**3*i*(2*A + B)/(a*d - b*c) + B*b**2*c**2*d**2*i*(2*A + B)/(a*d - b*c))/(4*A*B*b*d**3*i + 2*B**2*b*d**3*i))/(2*b**2*g**3*(a*d - b*c)) + (B**2*c**2*i + 2*B**2*c*d*i*x + B**2*d**2*i*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a**3*d*g**3 - 2*a**2*b*c*g**3 + 4*a**2*b*d*g**3*x - 4*a*b**2*c*g**3*x + 2*a*b**2*d*g**3*x**2 - 2*b**3*c*g**3*x**2) + (-2*A**2*a*d*i - 2*A**2*b*c*i - 2*A*B*a*d*i - 2*A*B*b*c*i - B**2*a*d*i - B**2*b*c*i + x*(-4*A**2*b*d*i - 4*A*B*b*d*i - 2*B**2*b*d*i))/(4*a**2*b**2*g**3 + 8*a*b**3*g**3*x + 4*b**4*g**3*x**2) + (-2*A*B*a*d*i - 2*A*B*b*c*i - 4*A*B*b*d*i*x - B**2*a*d*i - B**2*b*c*i - 2*B**2*b*d*i*x)*log(e*(a + b*x)/(c + d*x))/(2*a**2*b**2*g**3 + 4*a*b**3*g**3*x + 2*b**4*g**3*x**2)","B",0
62,1,1387,0,29.462421," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4,x)","- \frac{B d^{3} i \left(6 A + 5 B\right) \log{\left(x + \frac{6 A B a d^{4} i + 6 A B b c d^{3} i + 5 B^{2} a d^{4} i + 5 B^{2} b c d^{3} i - \frac{B a^{3} d^{6} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{5} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{4} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} + \frac{B b^{3} c^{3} d^{3} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}}}{12 A B b d^{4} i + 10 B^{2} b d^{4} i} \right)}}{18 b^{2} g^{4} \left(a d - b c\right)^{2}} + \frac{B d^{3} i \left(6 A + 5 B\right) \log{\left(x + \frac{6 A B a d^{4} i + 6 A B b c d^{3} i + 5 B^{2} a d^{4} i + 5 B^{2} b c d^{3} i + \frac{B a^{3} d^{6} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{5} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{4} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}} - \frac{B b^{3} c^{3} d^{3} i \left(6 A + 5 B\right)}{\left(a d - b c\right)^{2}}}{12 A B b d^{4} i + 10 B^{2} b d^{4} i} \right)}}{18 b^{2} g^{4} \left(a d - b c\right)^{2}} + \frac{\left(3 B^{2} a c^{2} d i + 6 B^{2} a c d^{2} i x + 3 B^{2} a d^{3} i x^{2} - 2 B^{2} b c^{3} i - 3 B^{2} b c^{2} d i x + B^{2} b d^{3} i x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{6 a^{5} d^{2} g^{4} - 12 a^{4} b c d g^{4} + 18 a^{4} b d^{2} g^{4} x + 6 a^{3} b^{2} c^{2} g^{4} - 36 a^{3} b^{2} c d g^{4} x + 18 a^{3} b^{2} d^{2} g^{4} x^{2} + 18 a^{2} b^{3} c^{2} g^{4} x - 36 a^{2} b^{3} c d g^{4} x^{2} + 6 a^{2} b^{3} d^{2} g^{4} x^{3} + 18 a b^{4} c^{2} g^{4} x^{2} - 12 a b^{4} c d g^{4} x^{3} + 6 b^{5} c^{2} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} i - 6 A B a b c d i - 18 A B a b d^{2} i x + 12 A B b^{2} c^{2} i + 18 A B b^{2} c d i x - 5 B^{2} a^{2} d^{2} i - 5 B^{2} a b c d i - 15 B^{2} a b d^{2} i x + 4 B^{2} b^{2} c^{2} i + 3 B^{2} b^{2} c d i x - 6 B^{2} b^{2} d^{2} i x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{18 a^{4} b^{2} d g^{4} - 18 a^{3} b^{3} c g^{4} + 54 a^{3} b^{3} d g^{4} x - 54 a^{2} b^{4} c g^{4} x + 54 a^{2} b^{4} d g^{4} x^{2} - 54 a b^{5} c g^{4} x^{2} + 18 a b^{5} d g^{4} x^{3} - 18 b^{6} c g^{4} x^{3}} + \frac{- 18 A^{2} a^{2} d^{2} i - 18 A^{2} a b c d i + 36 A^{2} b^{2} c^{2} i - 30 A B a^{2} d^{2} i - 30 A B a b c d i + 24 A B b^{2} c^{2} i - 19 B^{2} a^{2} d^{2} i - 19 B^{2} a b c d i + 8 B^{2} b^{2} c^{2} i + x^{2} \left(- 36 A B b^{2} d^{2} i - 30 B^{2} b^{2} d^{2} i\right) + x \left(- 54 A^{2} a b d^{2} i + 54 A^{2} b^{2} c d i - 90 A B a b d^{2} i + 18 A B b^{2} c d i - 57 B^{2} a b d^{2} i - 3 B^{2} b^{2} c d i\right)}{108 a^{4} b^{2} d g^{4} - 108 a^{3} b^{3} c g^{4} + x^{3} \left(108 a b^{5} d g^{4} - 108 b^{6} c g^{4}\right) + x^{2} \left(324 a^{2} b^{4} d g^{4} - 324 a b^{5} c g^{4}\right) + x \left(324 a^{3} b^{3} d g^{4} - 324 a^{2} b^{4} c g^{4}\right)}"," ",0,"-B*d**3*i*(6*A + 5*B)*log(x + (6*A*B*a*d**4*i + 6*A*B*b*c*d**3*i + 5*B**2*a*d**4*i + 5*B**2*b*c*d**3*i - B*a**3*d**6*i*(6*A + 5*B)/(a*d - b*c)**2 + 3*B*a**2*b*c*d**5*i*(6*A + 5*B)/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**4*i*(6*A + 5*B)/(a*d - b*c)**2 + B*b**3*c**3*d**3*i*(6*A + 5*B)/(a*d - b*c)**2)/(12*A*B*b*d**4*i + 10*B**2*b*d**4*i))/(18*b**2*g**4*(a*d - b*c)**2) + B*d**3*i*(6*A + 5*B)*log(x + (6*A*B*a*d**4*i + 6*A*B*b*c*d**3*i + 5*B**2*a*d**4*i + 5*B**2*b*c*d**3*i + B*a**3*d**6*i*(6*A + 5*B)/(a*d - b*c)**2 - 3*B*a**2*b*c*d**5*i*(6*A + 5*B)/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**4*i*(6*A + 5*B)/(a*d - b*c)**2 - B*b**3*c**3*d**3*i*(6*A + 5*B)/(a*d - b*c)**2)/(12*A*B*b*d**4*i + 10*B**2*b*d**4*i))/(18*b**2*g**4*(a*d - b*c)**2) + (3*B**2*a*c**2*d*i + 6*B**2*a*c*d**2*i*x + 3*B**2*a*d**3*i*x**2 - 2*B**2*b*c**3*i - 3*B**2*b*c**2*d*i*x + B**2*b*d**3*i*x**3)*log(e*(a + b*x)/(c + d*x))**2/(6*a**5*d**2*g**4 - 12*a**4*b*c*d*g**4 + 18*a**4*b*d**2*g**4*x + 6*a**3*b**2*c**2*g**4 - 36*a**3*b**2*c*d*g**4*x + 18*a**3*b**2*d**2*g**4*x**2 + 18*a**2*b**3*c**2*g**4*x - 36*a**2*b**3*c*d*g**4*x**2 + 6*a**2*b**3*d**2*g**4*x**3 + 18*a*b**4*c**2*g**4*x**2 - 12*a*b**4*c*d*g**4*x**3 + 6*b**5*c**2*g**4*x**3) + (-6*A*B*a**2*d**2*i - 6*A*B*a*b*c*d*i - 18*A*B*a*b*d**2*i*x + 12*A*B*b**2*c**2*i + 18*A*B*b**2*c*d*i*x - 5*B**2*a**2*d**2*i - 5*B**2*a*b*c*d*i - 15*B**2*a*b*d**2*i*x + 4*B**2*b**2*c**2*i + 3*B**2*b**2*c*d*i*x - 6*B**2*b**2*d**2*i*x**2)*log(e*(a + b*x)/(c + d*x))/(18*a**4*b**2*d*g**4 - 18*a**3*b**3*c*g**4 + 54*a**3*b**3*d*g**4*x - 54*a**2*b**4*c*g**4*x + 54*a**2*b**4*d*g**4*x**2 - 54*a*b**5*c*g**4*x**2 + 18*a*b**5*d*g**4*x**3 - 18*b**6*c*g**4*x**3) + (-18*A**2*a**2*d**2*i - 18*A**2*a*b*c*d*i + 36*A**2*b**2*c**2*i - 30*A*B*a**2*d**2*i - 30*A*B*a*b*c*d*i + 24*A*B*b**2*c**2*i - 19*B**2*a**2*d**2*i - 19*B**2*a*b*c*d*i + 8*B**2*b**2*c**2*i + x**2*(-36*A*B*b**2*d**2*i - 30*B**2*b**2*d**2*i) + x*(-54*A**2*a*b*d**2*i + 54*A**2*b**2*c*d*i - 90*A*B*a*b*d**2*i + 18*A*B*b**2*c*d*i - 57*B**2*a*b*d**2*i - 3*B**2*b**2*c*d*i))/(108*a**4*b**2*d*g**4 - 108*a**3*b**3*c*g**4 + x**3*(108*a*b**5*d*g**4 - 108*b**6*c*g**4) + x**2*(324*a**2*b**4*d*g**4 - 324*a*b**5*c*g**4) + x*(324*a**3*b**3*d*g**4 - 324*a**2*b**4*c*g**4))","B",0
63,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
64,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,0,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g),x)","\frac{i^{2} \left(\int \frac{A^{2} c^{2}}{a + b x}\, dx + \int \frac{A^{2} d^{2} x^{2}}{a + b x}\, dx + \int \frac{B^{2} c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{2 A^{2} c d x}{a + b x}\, dx + \int \frac{B^{2} d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx + \int \frac{2 B^{2} c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a + b x}\, dx + \int \frac{4 A B c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i**2*(Integral(A**2*c**2/(a + b*x), x) + Integral(A**2*d**2*x**2/(a + b*x), x) + Integral(B**2*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(2*A*B*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(2*A**2*c*d*x/(a + b*x), x) + Integral(B**2*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(2*A*B*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x) + Integral(2*B**2*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(4*A*B*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
69,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,0,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3,x)","\frac{i^{2} \left(\int \frac{A^{2} c^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{A^{2} d^{2} x^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B^{2} c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A B c^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A^{2} c d x}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B^{2} d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A B d^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 B^{2} c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{4 A B c d x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx\right)}{g^{3}}"," ",0,"i**2*(Integral(A**2*c**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(A**2*d**2*x**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B**2*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A*B*c**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A**2*c*d*x/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B**2*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A*B*d**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*B**2*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(4*A*B*c*d*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x))/g**3","F",0
71,1,1182,0,69.829780," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4,x)","- \frac{2 B d^{3} i^{2} \left(3 A + B\right) \log{\left(x + \frac{6 A B a d^{4} i^{2} + 6 A B b c d^{3} i^{2} + 2 B^{2} a d^{4} i^{2} + 2 B^{2} b c d^{3} i^{2} - \frac{2 B a^{2} d^{5} i^{2} \left(3 A + B\right)}{a d - b c} + \frac{4 B a b c d^{4} i^{2} \left(3 A + B\right)}{a d - b c} - \frac{2 B b^{2} c^{2} d^{3} i^{2} \left(3 A + B\right)}{a d - b c}}{12 A B b d^{4} i^{2} + 4 B^{2} b d^{4} i^{2}} \right)}}{9 b^{3} g^{4} \left(a d - b c\right)} + \frac{2 B d^{3} i^{2} \left(3 A + B\right) \log{\left(x + \frac{6 A B a d^{4} i^{2} + 6 A B b c d^{3} i^{2} + 2 B^{2} a d^{4} i^{2} + 2 B^{2} b c d^{3} i^{2} + \frac{2 B a^{2} d^{5} i^{2} \left(3 A + B\right)}{a d - b c} - \frac{4 B a b c d^{4} i^{2} \left(3 A + B\right)}{a d - b c} + \frac{2 B b^{2} c^{2} d^{3} i^{2} \left(3 A + B\right)}{a d - b c}}{12 A B b d^{4} i^{2} + 4 B^{2} b d^{4} i^{2}} \right)}}{9 b^{3} g^{4} \left(a d - b c\right)} + \frac{\left(B^{2} c^{3} i^{2} + 3 B^{2} c^{2} d i^{2} x + 3 B^{2} c d^{2} i^{2} x^{2} + B^{2} d^{3} i^{2} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{3 a^{4} d g^{4} - 3 a^{3} b c g^{4} + 9 a^{3} b d g^{4} x - 9 a^{2} b^{2} c g^{4} x + 9 a^{2} b^{2} d g^{4} x^{2} - 9 a b^{3} c g^{4} x^{2} + 3 a b^{3} d g^{4} x^{3} - 3 b^{4} c g^{4} x^{3}} + \frac{- 9 A^{2} a^{2} d^{2} i^{2} - 9 A^{2} a b c d i^{2} - 9 A^{2} b^{2} c^{2} i^{2} - 6 A B a^{2} d^{2} i^{2} - 6 A B a b c d i^{2} - 6 A B b^{2} c^{2} i^{2} - 2 B^{2} a^{2} d^{2} i^{2} - 2 B^{2} a b c d i^{2} - 2 B^{2} b^{2} c^{2} i^{2} + x^{2} \left(- 27 A^{2} b^{2} d^{2} i^{2} - 18 A B b^{2} d^{2} i^{2} - 6 B^{2} b^{2} d^{2} i^{2}\right) + x \left(- 27 A^{2} a b d^{2} i^{2} - 27 A^{2} b^{2} c d i^{2} - 18 A B a b d^{2} i^{2} - 18 A B b^{2} c d i^{2} - 6 B^{2} a b d^{2} i^{2} - 6 B^{2} b^{2} c d i^{2}\right)}{27 a^{3} b^{3} g^{4} + 81 a^{2} b^{4} g^{4} x + 81 a b^{5} g^{4} x^{2} + 27 b^{6} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} i^{2} - 6 A B a b c d i^{2} - 18 A B a b d^{2} i^{2} x - 6 A B b^{2} c^{2} i^{2} - 18 A B b^{2} c d i^{2} x - 18 A B b^{2} d^{2} i^{2} x^{2} - 2 B^{2} a^{2} d^{2} i^{2} - 2 B^{2} a b c d i^{2} - 6 B^{2} a b d^{2} i^{2} x - 2 B^{2} b^{2} c^{2} i^{2} - 6 B^{2} b^{2} c d i^{2} x - 6 B^{2} b^{2} d^{2} i^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{9 a^{3} b^{3} g^{4} + 27 a^{2} b^{4} g^{4} x + 27 a b^{5} g^{4} x^{2} + 9 b^{6} g^{4} x^{3}}"," ",0,"-2*B*d**3*i**2*(3*A + B)*log(x + (6*A*B*a*d**4*i**2 + 6*A*B*b*c*d**3*i**2 + 2*B**2*a*d**4*i**2 + 2*B**2*b*c*d**3*i**2 - 2*B*a**2*d**5*i**2*(3*A + B)/(a*d - b*c) + 4*B*a*b*c*d**4*i**2*(3*A + B)/(a*d - b*c) - 2*B*b**2*c**2*d**3*i**2*(3*A + B)/(a*d - b*c))/(12*A*B*b*d**4*i**2 + 4*B**2*b*d**4*i**2))/(9*b**3*g**4*(a*d - b*c)) + 2*B*d**3*i**2*(3*A + B)*log(x + (6*A*B*a*d**4*i**2 + 6*A*B*b*c*d**3*i**2 + 2*B**2*a*d**4*i**2 + 2*B**2*b*c*d**3*i**2 + 2*B*a**2*d**5*i**2*(3*A + B)/(a*d - b*c) - 4*B*a*b*c*d**4*i**2*(3*A + B)/(a*d - b*c) + 2*B*b**2*c**2*d**3*i**2*(3*A + B)/(a*d - b*c))/(12*A*B*b*d**4*i**2 + 4*B**2*b*d**4*i**2))/(9*b**3*g**4*(a*d - b*c)) + (B**2*c**3*i**2 + 3*B**2*c**2*d*i**2*x + 3*B**2*c*d**2*i**2*x**2 + B**2*d**3*i**2*x**3)*log(e*(a + b*x)/(c + d*x))**2/(3*a**4*d*g**4 - 3*a**3*b*c*g**4 + 9*a**3*b*d*g**4*x - 9*a**2*b**2*c*g**4*x + 9*a**2*b**2*d*g**4*x**2 - 9*a*b**3*c*g**4*x**2 + 3*a*b**3*d*g**4*x**3 - 3*b**4*c*g**4*x**3) + (-9*A**2*a**2*d**2*i**2 - 9*A**2*a*b*c*d*i**2 - 9*A**2*b**2*c**2*i**2 - 6*A*B*a**2*d**2*i**2 - 6*A*B*a*b*c*d*i**2 - 6*A*B*b**2*c**2*i**2 - 2*B**2*a**2*d**2*i**2 - 2*B**2*a*b*c*d*i**2 - 2*B**2*b**2*c**2*i**2 + x**2*(-27*A**2*b**2*d**2*i**2 - 18*A*B*b**2*d**2*i**2 - 6*B**2*b**2*d**2*i**2) + x*(-27*A**2*a*b*d**2*i**2 - 27*A**2*b**2*c*d*i**2 - 18*A*B*a*b*d**2*i**2 - 18*A*B*b**2*c*d*i**2 - 6*B**2*a*b*d**2*i**2 - 6*B**2*b**2*c*d*i**2))/(27*a**3*b**3*g**4 + 81*a**2*b**4*g**4*x + 81*a*b**5*g**4*x**2 + 27*b**6*g**4*x**3) + (-6*A*B*a**2*d**2*i**2 - 6*A*B*a*b*c*d*i**2 - 18*A*B*a*b*d**2*i**2*x - 6*A*B*b**2*c**2*i**2 - 18*A*B*b**2*c*d*i**2*x - 18*A*B*b**2*d**2*i**2*x**2 - 2*B**2*a**2*d**2*i**2 - 2*B**2*a*b*c*d*i**2 - 6*B**2*a*b*d**2*i**2*x - 2*B**2*b**2*c**2*i**2 - 6*B**2*b**2*c*d*i**2*x - 6*B**2*b**2*d**2*i**2*x**2)*log(e*(a + b*x)/(c + d*x))/(9*a**3*b**3*g**4 + 27*a**2*b**4*g**4*x + 27*a*b**5*g**4*x**2 + 9*b**6*g**4*x**3)","B",0
72,1,2055,0,134.614105," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**5,x)","- \frac{B d^{4} i^{2} \left(12 A + 7 B\right) \log{\left(x + \frac{12 A B a d^{5} i^{2} + 12 A B b c d^{4} i^{2} + 7 B^{2} a d^{5} i^{2} + 7 B^{2} b c d^{4} i^{2} - \frac{B a^{3} d^{7} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{6} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{5} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} + \frac{B b^{3} c^{3} d^{4} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}}}{24 A B b d^{5} i^{2} + 14 B^{2} b d^{5} i^{2}} \right)}}{72 b^{3} g^{5} \left(a d - b c\right)^{2}} + \frac{B d^{4} i^{2} \left(12 A + 7 B\right) \log{\left(x + \frac{12 A B a d^{5} i^{2} + 12 A B b c d^{4} i^{2} + 7 B^{2} a d^{5} i^{2} + 7 B^{2} b c d^{4} i^{2} + \frac{B a^{3} d^{7} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{6} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{5} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}} - \frac{B b^{3} c^{3} d^{4} i^{2} \left(12 A + 7 B\right)}{\left(a d - b c\right)^{2}}}{24 A B b d^{5} i^{2} + 14 B^{2} b d^{5} i^{2}} \right)}}{72 b^{3} g^{5} \left(a d - b c\right)^{2}} + \frac{\left(4 B^{2} a c^{3} d i^{2} + 12 B^{2} a c^{2} d^{2} i^{2} x + 12 B^{2} a c d^{3} i^{2} x^{2} + 4 B^{2} a d^{4} i^{2} x^{3} - 3 B^{2} b c^{4} i^{2} - 8 B^{2} b c^{3} d i^{2} x - 6 B^{2} b c^{2} d^{2} i^{2} x^{2} + B^{2} b d^{4} i^{2} x^{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{12 a^{6} d^{2} g^{5} - 24 a^{5} b c d g^{5} + 48 a^{5} b d^{2} g^{5} x + 12 a^{4} b^{2} c^{2} g^{5} - 96 a^{4} b^{2} c d g^{5} x + 72 a^{4} b^{2} d^{2} g^{5} x^{2} + 48 a^{3} b^{3} c^{2} g^{5} x - 144 a^{3} b^{3} c d g^{5} x^{2} + 48 a^{3} b^{3} d^{2} g^{5} x^{3} + 72 a^{2} b^{4} c^{2} g^{5} x^{2} - 96 a^{2} b^{4} c d g^{5} x^{3} + 12 a^{2} b^{4} d^{2} g^{5} x^{4} + 48 a b^{5} c^{2} g^{5} x^{3} - 24 a b^{5} c d g^{5} x^{4} + 12 b^{6} c^{2} g^{5} x^{4}} + \frac{\left(- 12 A B a^{3} d^{3} i^{2} - 12 A B a^{2} b c d^{2} i^{2} - 48 A B a^{2} b d^{3} i^{2} x - 12 A B a b^{2} c^{2} d i^{2} - 48 A B a b^{2} c d^{2} i^{2} x - 72 A B a b^{2} d^{3} i^{2} x^{2} + 36 A B b^{3} c^{3} i^{2} + 96 A B b^{3} c^{2} d i^{2} x + 72 A B b^{3} c d^{2} i^{2} x^{2} - 7 B^{2} a^{3} d^{3} i^{2} - 7 B^{2} a^{2} b c d^{2} i^{2} - 28 B^{2} a^{2} b d^{3} i^{2} x - 7 B^{2} a b^{2} c^{2} d i^{2} - 28 B^{2} a b^{2} c d^{2} i^{2} x - 42 B^{2} a b^{2} d^{3} i^{2} x^{2} + 9 B^{2} b^{3} c^{3} i^{2} + 20 B^{2} b^{3} c^{2} d i^{2} x + 6 B^{2} b^{3} c d^{2} i^{2} x^{2} - 12 B^{2} b^{3} d^{3} i^{2} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{72 a^{5} b^{3} d g^{5} - 72 a^{4} b^{4} c g^{5} + 288 a^{4} b^{4} d g^{5} x - 288 a^{3} b^{5} c g^{5} x + 432 a^{3} b^{5} d g^{5} x^{2} - 432 a^{2} b^{6} c g^{5} x^{2} + 288 a^{2} b^{6} d g^{5} x^{3} - 288 a b^{7} c g^{5} x^{3} + 72 a b^{7} d g^{5} x^{4} - 72 b^{8} c g^{5} x^{4}} + \frac{- 72 A^{2} a^{3} d^{3} i^{2} - 72 A^{2} a^{2} b c d^{2} i^{2} - 72 A^{2} a b^{2} c^{2} d i^{2} + 216 A^{2} b^{3} c^{3} i^{2} - 84 A B a^{3} d^{3} i^{2} - 84 A B a^{2} b c d^{2} i^{2} - 84 A B a b^{2} c^{2} d i^{2} + 108 A B b^{3} c^{3} i^{2} - 37 B^{2} a^{3} d^{3} i^{2} - 37 B^{2} a^{2} b c d^{2} i^{2} - 37 B^{2} a b^{2} c^{2} d i^{2} + 27 B^{2} b^{3} c^{3} i^{2} + x^{3} \left(- 144 A B b^{3} d^{3} i^{2} - 84 B^{2} b^{3} d^{3} i^{2}\right) + x^{2} \left(- 432 A^{2} a b^{2} d^{3} i^{2} + 432 A^{2} b^{3} c d^{2} i^{2} - 504 A B a b^{2} d^{3} i^{2} + 72 A B b^{3} c d^{2} i^{2} - 222 B^{2} a b^{2} d^{3} i^{2} - 30 B^{2} b^{3} c d^{2} i^{2}\right) + x \left(- 288 A^{2} a^{2} b d^{3} i^{2} - 288 A^{2} a b^{2} c d^{2} i^{2} + 576 A^{2} b^{3} c^{2} d i^{2} - 336 A B a^{2} b d^{3} i^{2} - 336 A B a b^{2} c d^{2} i^{2} + 240 A B b^{3} c^{2} d i^{2} - 148 B^{2} a^{2} b d^{3} i^{2} - 148 B^{2} a b^{2} c d^{2} i^{2} + 44 B^{2} b^{3} c^{2} d i^{2}\right)}{864 a^{5} b^{3} d g^{5} - 864 a^{4} b^{4} c g^{5} + x^{4} \left(864 a b^{7} d g^{5} - 864 b^{8} c g^{5}\right) + x^{3} \left(3456 a^{2} b^{6} d g^{5} - 3456 a b^{7} c g^{5}\right) + x^{2} \left(5184 a^{3} b^{5} d g^{5} - 5184 a^{2} b^{6} c g^{5}\right) + x \left(3456 a^{4} b^{4} d g^{5} - 3456 a^{3} b^{5} c g^{5}\right)}"," ",0,"-B*d**4*i**2*(12*A + 7*B)*log(x + (12*A*B*a*d**5*i**2 + 12*A*B*b*c*d**4*i**2 + 7*B**2*a*d**5*i**2 + 7*B**2*b*c*d**4*i**2 - B*a**3*d**7*i**2*(12*A + 7*B)/(a*d - b*c)**2 + 3*B*a**2*b*c*d**6*i**2*(12*A + 7*B)/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**5*i**2*(12*A + 7*B)/(a*d - b*c)**2 + B*b**3*c**3*d**4*i**2*(12*A + 7*B)/(a*d - b*c)**2)/(24*A*B*b*d**5*i**2 + 14*B**2*b*d**5*i**2))/(72*b**3*g**5*(a*d - b*c)**2) + B*d**4*i**2*(12*A + 7*B)*log(x + (12*A*B*a*d**5*i**2 + 12*A*B*b*c*d**4*i**2 + 7*B**2*a*d**5*i**2 + 7*B**2*b*c*d**4*i**2 + B*a**3*d**7*i**2*(12*A + 7*B)/(a*d - b*c)**2 - 3*B*a**2*b*c*d**6*i**2*(12*A + 7*B)/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**5*i**2*(12*A + 7*B)/(a*d - b*c)**2 - B*b**3*c**3*d**4*i**2*(12*A + 7*B)/(a*d - b*c)**2)/(24*A*B*b*d**5*i**2 + 14*B**2*b*d**5*i**2))/(72*b**3*g**5*(a*d - b*c)**2) + (4*B**2*a*c**3*d*i**2 + 12*B**2*a*c**2*d**2*i**2*x + 12*B**2*a*c*d**3*i**2*x**2 + 4*B**2*a*d**4*i**2*x**3 - 3*B**2*b*c**4*i**2 - 8*B**2*b*c**3*d*i**2*x - 6*B**2*b*c**2*d**2*i**2*x**2 + B**2*b*d**4*i**2*x**4)*log(e*(a + b*x)/(c + d*x))**2/(12*a**6*d**2*g**5 - 24*a**5*b*c*d*g**5 + 48*a**5*b*d**2*g**5*x + 12*a**4*b**2*c**2*g**5 - 96*a**4*b**2*c*d*g**5*x + 72*a**4*b**2*d**2*g**5*x**2 + 48*a**3*b**3*c**2*g**5*x - 144*a**3*b**3*c*d*g**5*x**2 + 48*a**3*b**3*d**2*g**5*x**3 + 72*a**2*b**4*c**2*g**5*x**2 - 96*a**2*b**4*c*d*g**5*x**3 + 12*a**2*b**4*d**2*g**5*x**4 + 48*a*b**5*c**2*g**5*x**3 - 24*a*b**5*c*d*g**5*x**4 + 12*b**6*c**2*g**5*x**4) + (-12*A*B*a**3*d**3*i**2 - 12*A*B*a**2*b*c*d**2*i**2 - 48*A*B*a**2*b*d**3*i**2*x - 12*A*B*a*b**2*c**2*d*i**2 - 48*A*B*a*b**2*c*d**2*i**2*x - 72*A*B*a*b**2*d**3*i**2*x**2 + 36*A*B*b**3*c**3*i**2 + 96*A*B*b**3*c**2*d*i**2*x + 72*A*B*b**3*c*d**2*i**2*x**2 - 7*B**2*a**3*d**3*i**2 - 7*B**2*a**2*b*c*d**2*i**2 - 28*B**2*a**2*b*d**3*i**2*x - 7*B**2*a*b**2*c**2*d*i**2 - 28*B**2*a*b**2*c*d**2*i**2*x - 42*B**2*a*b**2*d**3*i**2*x**2 + 9*B**2*b**3*c**3*i**2 + 20*B**2*b**3*c**2*d*i**2*x + 6*B**2*b**3*c*d**2*i**2*x**2 - 12*B**2*b**3*d**3*i**2*x**3)*log(e*(a + b*x)/(c + d*x))/(72*a**5*b**3*d*g**5 - 72*a**4*b**4*c*g**5 + 288*a**4*b**4*d*g**5*x - 288*a**3*b**5*c*g**5*x + 432*a**3*b**5*d*g**5*x**2 - 432*a**2*b**6*c*g**5*x**2 + 288*a**2*b**6*d*g**5*x**3 - 288*a*b**7*c*g**5*x**3 + 72*a*b**7*d*g**5*x**4 - 72*b**8*c*g**5*x**4) + (-72*A**2*a**3*d**3*i**2 - 72*A**2*a**2*b*c*d**2*i**2 - 72*A**2*a*b**2*c**2*d*i**2 + 216*A**2*b**3*c**3*i**2 - 84*A*B*a**3*d**3*i**2 - 84*A*B*a**2*b*c*d**2*i**2 - 84*A*B*a*b**2*c**2*d*i**2 + 108*A*B*b**3*c**3*i**2 - 37*B**2*a**3*d**3*i**2 - 37*B**2*a**2*b*c*d**2*i**2 - 37*B**2*a*b**2*c**2*d*i**2 + 27*B**2*b**3*c**3*i**2 + x**3*(-144*A*B*b**3*d**3*i**2 - 84*B**2*b**3*d**3*i**2) + x**2*(-432*A**2*a*b**2*d**3*i**2 + 432*A**2*b**3*c*d**2*i**2 - 504*A*B*a*b**2*d**3*i**2 + 72*A*B*b**3*c*d**2*i**2 - 222*B**2*a*b**2*d**3*i**2 - 30*B**2*b**3*c*d**2*i**2) + x*(-288*A**2*a**2*b*d**3*i**2 - 288*A**2*a*b**2*c*d**2*i**2 + 576*A**2*b**3*c**2*d*i**2 - 336*A*B*a**2*b*d**3*i**2 - 336*A*B*a*b**2*c*d**2*i**2 + 240*A*B*b**3*c**2*d*i**2 - 148*B**2*a**2*b*d**3*i**2 - 148*B**2*a*b**2*c*d**2*i**2 + 44*B**2*b**3*c**2*d*i**2))/(864*a**5*b**3*d*g**5 - 864*a**4*b**4*c*g**5 + x**4*(864*a*b**7*d*g**5 - 864*b**8*c*g**5) + x**3*(3456*a**2*b**6*d*g**5 - 3456*a*b**7*c*g**5) + x**2*(5184*a**3*b**5*d*g**5 - 5184*a**2*b**6*c*g**5) + x*(3456*a**4*b**4*d*g**5 - 3456*a**3*b**5*c*g**5))","B",0
73,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
77,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i),x)","\frac{g^{2} \left(\int \frac{A^{2} a^{2}}{c + d x}\, dx + \int \frac{A^{2} b^{2} x^{2}}{c + d x}\, dx + \int \frac{B^{2} a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{2 A^{2} a b x}{c + d x}\, dx + \int \frac{B^{2} b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{2 B^{2} a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{4 A B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g**2*(Integral(A**2*a**2/(c + d*x), x) + Integral(A**2*b**2*x**2/(c + d*x), x) + Integral(B**2*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(2*A*B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(2*A**2*a*b*x/(c + d*x), x) + Integral(B**2*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(2*A*B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(2*B**2*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(4*A*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
86,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i),x)","\frac{g \left(\int \frac{A^{2} a}{c + d x}\, dx + \int \frac{A^{2} b x}{c + d x}\, dx + \int \frac{B^{2} a \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B a \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx + \int \frac{B^{2} b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g*(Integral(A**2*a/(c + d*x), x) + Integral(A**2*b*x/(c + d*x), x) + Integral(B**2*a*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(2*A*B*a*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x) + Integral(B**2*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(2*A*B*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
87,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i),x)","\frac{\int \frac{A^{2}}{c + d x}\, dx + \int \frac{B^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c + d x}\, dx}{i}"," ",0,"(Integral(A**2/(c + d*x), x) + Integral(B**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c + d*x), x) + Integral(2*A*B*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c + d*x), x))/i","F",0
88,1,206,0,1.625629," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)/(d*i*x+c*i),x)","A^{2} \left(\frac{\log{\left(x + \frac{- \frac{a^{2} d^{2}}{a d - b c} + \frac{2 a b c d}{a d - b c} + a d - \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{g i \left(a d - b c\right)} - \frac{\log{\left(x + \frac{\frac{a^{2} d^{2}}{a d - b c} - \frac{2 a b c d}{a d - b c} + a d + \frac{b^{2} c^{2}}{a d - b c} + b c}{2 b d} \right)}}{g i \left(a d - b c\right)}\right) - \frac{A B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a d g i - b c g i} - \frac{B^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a d g i - 3 b c g i}"," ",0,"A**2*(log(x + (-a**2*d**2/(a*d - b*c) + 2*a*b*c*d/(a*d - b*c) + a*d - b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(g*i*(a*d - b*c)) - log(x + (a**2*d**2/(a*d - b*c) - 2*a*b*c*d/(a*d - b*c) + a*d + b**2*c**2/(a*d - b*c) + b*c)/(2*b*d))/(g*i*(a*d - b*c))) - A*B*log(e*(a + b*x)/(c + d*x))**2/(a*d*g*i - b*c*g*i) - B**2*log(e*(a + b*x)/(c + d*x))**3/(3*a*d*g*i - 3*b*c*g*i)","B",0
89,1,541,0,5.143626," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2/(d*i*x+c*i),x)","- \frac{B^{2} d \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{2} d^{2} g^{2} i - 6 a b c d g^{2} i + 3 b^{2} c^{2} g^{2} i} + \frac{\left(2 A B + 2 B^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a^{2} d g^{2} i - a b c g^{2} i + a b d g^{2} i x - b^{2} c g^{2} i x} + \left(A^{2} + 2 A B + 2 B^{2}\right) \left(\frac{d \log{\left(x + \frac{- \frac{a^{3} d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b c d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{2}} + a d^{2} + \frac{b^{3} c^{3} d}{\left(a d - b c\right)^{2}} + b c d}{2 b d^{2}} \right)}}{g^{2} i \left(a d - b c\right)^{2}} - \frac{d \log{\left(x + \frac{\frac{a^{3} d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b c d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a b^{2} c^{2} d^{2}}{\left(a d - b c\right)^{2}} + a d^{2} - \frac{b^{3} c^{3} d}{\left(a d - b c\right)^{2}} + b c d}{2 b d^{2}} \right)}}{g^{2} i \left(a d - b c\right)^{2}} + \frac{1}{a^{2} d g^{2} i - a b c g^{2} i + x \left(a b d g^{2} i - b^{2} c g^{2} i\right)}\right) + \frac{\left(- A B a d - A B b d x - B^{2} b c - B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{3} d^{2} g^{2} i - 2 a^{2} b c d g^{2} i + a^{2} b d^{2} g^{2} i x + a b^{2} c^{2} g^{2} i - 2 a b^{2} c d g^{2} i x + b^{3} c^{2} g^{2} i x}"," ",0,"-B**2*d*log(e*(a + b*x)/(c + d*x))**3/(3*a**2*d**2*g**2*i - 6*a*b*c*d*g**2*i + 3*b**2*c**2*g**2*i) + (2*A*B + 2*B**2)*log(e*(a + b*x)/(c + d*x))/(a**2*d*g**2*i - a*b*c*g**2*i + a*b*d*g**2*i*x - b**2*c*g**2*i*x) + (A**2 + 2*A*B + 2*B**2)*(d*log(x + (-a**3*d**4/(a*d - b*c)**2 + 3*a**2*b*c*d**3/(a*d - b*c)**2 - 3*a*b**2*c**2*d**2/(a*d - b*c)**2 + a*d**2 + b**3*c**3*d/(a*d - b*c)**2 + b*c*d)/(2*b*d**2))/(g**2*i*(a*d - b*c)**2) - d*log(x + (a**3*d**4/(a*d - b*c)**2 - 3*a**2*b*c*d**3/(a*d - b*c)**2 + 3*a*b**2*c**2*d**2/(a*d - b*c)**2 + a*d**2 - b**3*c**3*d/(a*d - b*c)**2 + b*c*d)/(2*b*d**2))/(g**2*i*(a*d - b*c)**2) + 1/(a**2*d*g**2*i - a*b*c*g**2*i + x*(a*b*d*g**2*i - b**2*c*g**2*i))) + (-A*B*a*d - A*B*b*d*x - B**2*b*c - B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))**2/(a**3*d**2*g**2*i - 2*a**2*b*c*d*g**2*i + a**2*b*d**2*g**2*i*x + a*b**2*c**2*g**2*i - 2*a*b**2*c*d*g**2*i*x + b**3*c**2*g**2*i*x)","B",0
90,1,1488,0,14.175282," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3/(d*i*x+c*i),x)","- \frac{B^{2} d^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{3} d^{3} g^{3} i - 9 a^{2} b c d^{2} g^{3} i + 9 a b^{2} c^{2} d g^{3} i - 3 b^{3} c^{3} g^{3} i} + \frac{d^{2} \left(2 A^{2} + 6 A B + 7 B^{2}\right) \log{\left(x + \frac{2 A^{2} a d^{3} + 2 A^{2} b c d^{2} + 6 A B a d^{3} + 6 A B b c d^{2} + 7 B^{2} a d^{3} + 7 B^{2} b c d^{2} - \frac{a^{4} d^{6} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b c d^{5} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{2} c^{2} d^{4} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a b^{3} c^{3} d^{3} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{b^{4} c^{4} d^{2} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b d^{3} + 12 A B b d^{3} + 14 B^{2} b d^{3}} \right)}}{2 g^{3} i \left(a d - b c\right)^{3}} - \frac{d^{2} \left(2 A^{2} + 6 A B + 7 B^{2}\right) \log{\left(x + \frac{2 A^{2} a d^{3} + 2 A^{2} b c d^{2} + 6 A B a d^{3} + 6 A B b c d^{2} + 7 B^{2} a d^{3} + 7 B^{2} b c d^{2} + \frac{a^{4} d^{6} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b c d^{5} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{2} c^{2} d^{4} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{4 a b^{3} c^{3} d^{3} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{b^{4} c^{4} d^{2} \left(2 A^{2} + 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b d^{3} + 12 A B b d^{3} + 14 B^{2} b d^{3}} \right)}}{2 g^{3} i \left(a d - b c\right)^{3}} + \frac{\left(6 A B a d - 2 A B b c + 4 A B b d x + 7 B^{2} a d - B^{2} b c + 6 B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{4} d^{2} g^{3} i - 4 a^{3} b c d g^{3} i + 4 a^{3} b d^{2} g^{3} i x + 2 a^{2} b^{2} c^{2} g^{3} i - 8 a^{2} b^{2} c d g^{3} i x + 2 a^{2} b^{2} d^{2} g^{3} i x^{2} + 4 a b^{3} c^{2} g^{3} i x - 4 a b^{3} c d g^{3} i x^{2} + 2 b^{4} c^{2} g^{3} i x^{2}} + \frac{\left(- 2 A B a^{2} d^{2} - 4 A B a b d^{2} x - 2 A B b^{2} d^{2} x^{2} - 4 B^{2} a b c d - 4 B^{2} a b d^{2} x + B^{2} b^{2} c^{2} - 2 B^{2} b^{2} c d x - 3 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{5} d^{3} g^{3} i - 6 a^{4} b c d^{2} g^{3} i + 4 a^{4} b d^{3} g^{3} i x + 6 a^{3} b^{2} c^{2} d g^{3} i - 12 a^{3} b^{2} c d^{2} g^{3} i x + 2 a^{3} b^{2} d^{3} g^{3} i x^{2} - 2 a^{2} b^{3} c^{3} g^{3} i + 12 a^{2} b^{3} c^{2} d g^{3} i x - 6 a^{2} b^{3} c d^{2} g^{3} i x^{2} - 4 a b^{4} c^{3} g^{3} i x + 6 a b^{4} c^{2} d g^{3} i x^{2} - 2 b^{5} c^{3} g^{3} i x^{2}} + \frac{6 A^{2} a d - 2 A^{2} b c + 14 A B a d - 2 A B b c + 15 B^{2} a d - B^{2} b c + x \left(4 A^{2} b d + 12 A B b d + 14 B^{2} b d\right)}{4 a^{4} d^{2} g^{3} i - 8 a^{3} b c d g^{3} i + 4 a^{2} b^{2} c^{2} g^{3} i + x^{2} \left(4 a^{2} b^{2} d^{2} g^{3} i - 8 a b^{3} c d g^{3} i + 4 b^{4} c^{2} g^{3} i\right) + x \left(8 a^{3} b d^{2} g^{3} i - 16 a^{2} b^{2} c d g^{3} i + 8 a b^{3} c^{2} g^{3} i\right)}"," ",0,"-B**2*d**2*log(e*(a + b*x)/(c + d*x))**3/(3*a**3*d**3*g**3*i - 9*a**2*b*c*d**2*g**3*i + 9*a*b**2*c**2*d*g**3*i - 3*b**3*c**3*g**3*i) + d**2*(2*A**2 + 6*A*B + 7*B**2)*log(x + (2*A**2*a*d**3 + 2*A**2*b*c*d**2 + 6*A*B*a*d**3 + 6*A*B*b*c*d**2 + 7*B**2*a*d**3 + 7*B**2*b*c*d**2 - a**4*d**6*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 + 4*a**3*b*c*d**5*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 - 6*a**2*b**2*c**2*d**4*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 + 4*a*b**3*c**3*d**3*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 - b**4*c**4*d**2*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3)/(4*A**2*b*d**3 + 12*A*B*b*d**3 + 14*B**2*b*d**3))/(2*g**3*i*(a*d - b*c)**3) - d**2*(2*A**2 + 6*A*B + 7*B**2)*log(x + (2*A**2*a*d**3 + 2*A**2*b*c*d**2 + 6*A*B*a*d**3 + 6*A*B*b*c*d**2 + 7*B**2*a*d**3 + 7*B**2*b*c*d**2 + a**4*d**6*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 - 4*a**3*b*c*d**5*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 + 6*a**2*b**2*c**2*d**4*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 - 4*a*b**3*c**3*d**3*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3 + b**4*c**4*d**2*(2*A**2 + 6*A*B + 7*B**2)/(a*d - b*c)**3)/(4*A**2*b*d**3 + 12*A*B*b*d**3 + 14*B**2*b*d**3))/(2*g**3*i*(a*d - b*c)**3) + (6*A*B*a*d - 2*A*B*b*c + 4*A*B*b*d*x + 7*B**2*a*d - B**2*b*c + 6*B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a**4*d**2*g**3*i - 4*a**3*b*c*d*g**3*i + 4*a**3*b*d**2*g**3*i*x + 2*a**2*b**2*c**2*g**3*i - 8*a**2*b**2*c*d*g**3*i*x + 2*a**2*b**2*d**2*g**3*i*x**2 + 4*a*b**3*c**2*g**3*i*x - 4*a*b**3*c*d*g**3*i*x**2 + 2*b**4*c**2*g**3*i*x**2) + (-2*A*B*a**2*d**2 - 4*A*B*a*b*d**2*x - 2*A*B*b**2*d**2*x**2 - 4*B**2*a*b*c*d - 4*B**2*a*b*d**2*x + B**2*b**2*c**2 - 2*B**2*b**2*c*d*x - 3*B**2*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a**5*d**3*g**3*i - 6*a**4*b*c*d**2*g**3*i + 4*a**4*b*d**3*g**3*i*x + 6*a**3*b**2*c**2*d*g**3*i - 12*a**3*b**2*c*d**2*g**3*i*x + 2*a**3*b**2*d**3*g**3*i*x**2 - 2*a**2*b**3*c**3*g**3*i + 12*a**2*b**3*c**2*d*g**3*i*x - 6*a**2*b**3*c*d**2*g**3*i*x**2 - 4*a*b**4*c**3*g**3*i*x + 6*a*b**4*c**2*d*g**3*i*x**2 - 2*b**5*c**3*g**3*i*x**2) + (6*A**2*a*d - 2*A**2*b*c + 14*A*B*a*d - 2*A*B*b*c + 15*B**2*a*d - B**2*b*c + x*(4*A**2*b*d + 12*A*B*b*d + 14*B**2*b*d))/(4*a**4*d**2*g**3*i - 8*a**3*b*c*d*g**3*i + 4*a**2*b**2*c**2*g**3*i + x**2*(4*a**2*b**2*d**2*g**3*i - 8*a*b**3*c*d*g**3*i + 4*b**4*c**2*g**3*i) + x*(8*a**3*b*d**2*g**3*i - 16*a**2*b**2*c*d*g**3*i + 8*a*b**3*c**2*g**3*i))","B",0
91,1,2388,0,55.104053," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4/(d*i*x+c*i),x)","- \frac{B^{2} d^{3} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{4} d^{4} g^{4} i - 12 a^{3} b c d^{3} g^{4} i + 18 a^{2} b^{2} c^{2} d^{2} g^{4} i - 12 a b^{3} c^{3} d g^{4} i + 3 b^{4} c^{4} g^{4} i} + \frac{d^{3} \left(18 A^{2} + 66 A B + 85 B^{2}\right) \log{\left(x + \frac{18 A^{2} a d^{4} + 18 A^{2} b c d^{3} + 66 A B a d^{4} + 66 A B b c d^{3} + 85 B^{2} a d^{4} + 85 B^{2} b c d^{3} - \frac{a^{5} d^{8} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{5 a^{4} b c d^{7} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{3} b^{2} c^{2} d^{6} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{2} b^{3} c^{3} d^{5} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{5 a b^{4} c^{4} d^{4} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{b^{5} c^{5} d^{3} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}}}{36 A^{2} b d^{4} + 132 A B b d^{4} + 170 B^{2} b d^{4}} \right)}}{18 g^{4} i \left(a d - b c\right)^{4}} - \frac{d^{3} \left(18 A^{2} + 66 A B + 85 B^{2}\right) \log{\left(x + \frac{18 A^{2} a d^{4} + 18 A^{2} b c d^{3} + 66 A B a d^{4} + 66 A B b c d^{3} + 85 B^{2} a d^{4} + 85 B^{2} b c d^{3} + \frac{a^{5} d^{8} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{5 a^{4} b c d^{7} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{10 a^{3} b^{2} c^{2} d^{6} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{10 a^{2} b^{3} c^{3} d^{5} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} + \frac{5 a b^{4} c^{4} d^{4} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}} - \frac{b^{5} c^{5} d^{3} \left(18 A^{2} + 66 A B + 85 B^{2}\right)}{\left(a d - b c\right)^{4}}}{36 A^{2} b d^{4} + 132 A B b d^{4} + 170 B^{2} b d^{4}} \right)}}{18 g^{4} i \left(a d - b c\right)^{4}} + \frac{\left(66 A B a^{2} d^{2} - 42 A B a b c d + 90 A B a b d^{2} x + 12 A B b^{2} c^{2} - 18 A B b^{2} c d x + 36 A B b^{2} d^{2} x^{2} + 85 B^{2} a^{2} d^{2} - 23 B^{2} a b c d + 147 B^{2} a b d^{2} x + 4 B^{2} b^{2} c^{2} - 15 B^{2} b^{2} c d x + 66 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{18 a^{6} d^{3} g^{4} i - 54 a^{5} b c d^{2} g^{4} i + 54 a^{5} b d^{3} g^{4} i x + 54 a^{4} b^{2} c^{2} d g^{4} i - 162 a^{4} b^{2} c d^{2} g^{4} i x + 54 a^{4} b^{2} d^{3} g^{4} i x^{2} - 18 a^{3} b^{3} c^{3} g^{4} i + 162 a^{3} b^{3} c^{2} d g^{4} i x - 162 a^{3} b^{3} c d^{2} g^{4} i x^{2} + 18 a^{3} b^{3} d^{3} g^{4} i x^{3} - 54 a^{2} b^{4} c^{3} g^{4} i x + 162 a^{2} b^{4} c^{2} d g^{4} i x^{2} - 54 a^{2} b^{4} c d^{2} g^{4} i x^{3} - 54 a b^{5} c^{3} g^{4} i x^{2} + 54 a b^{5} c^{2} d g^{4} i x^{3} - 18 b^{6} c^{3} g^{4} i x^{3}} + \frac{\left(- 6 A B a^{3} d^{3} - 18 A B a^{2} b d^{3} x - 18 A B a b^{2} d^{3} x^{2} - 6 A B b^{3} d^{3} x^{3} - 18 B^{2} a^{2} b c d^{2} - 18 B^{2} a^{2} b d^{3} x + 9 B^{2} a b^{2} c^{2} d - 18 B^{2} a b^{2} c d^{2} x - 27 B^{2} a b^{2} d^{3} x^{2} - 2 B^{2} b^{3} c^{3} + 3 B^{2} b^{3} c^{2} d x - 6 B^{2} b^{3} c d^{2} x^{2} - 11 B^{2} b^{3} d^{3} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{6 a^{7} d^{4} g^{4} i - 24 a^{6} b c d^{3} g^{4} i + 18 a^{6} b d^{4} g^{4} i x + 36 a^{5} b^{2} c^{2} d^{2} g^{4} i - 72 a^{5} b^{2} c d^{3} g^{4} i x + 18 a^{5} b^{2} d^{4} g^{4} i x^{2} - 24 a^{4} b^{3} c^{3} d g^{4} i + 108 a^{4} b^{3} c^{2} d^{2} g^{4} i x - 72 a^{4} b^{3} c d^{3} g^{4} i x^{2} + 6 a^{4} b^{3} d^{4} g^{4} i x^{3} + 6 a^{3} b^{4} c^{4} g^{4} i - 72 a^{3} b^{4} c^{3} d g^{4} i x + 108 a^{3} b^{4} c^{2} d^{2} g^{4} i x^{2} - 24 a^{3} b^{4} c d^{3} g^{4} i x^{3} + 18 a^{2} b^{5} c^{4} g^{4} i x - 72 a^{2} b^{5} c^{3} d g^{4} i x^{2} + 36 a^{2} b^{5} c^{2} d^{2} g^{4} i x^{3} + 18 a b^{6} c^{4} g^{4} i x^{2} - 24 a b^{6} c^{3} d g^{4} i x^{3} + 6 b^{7} c^{4} g^{4} i x^{3}} + \frac{198 A^{2} a^{2} d^{2} - 126 A^{2} a b c d + 36 A^{2} b^{2} c^{2} + 510 A B a^{2} d^{2} - 138 A B a b c d + 24 A B b^{2} c^{2} + 575 B^{2} a^{2} d^{2} - 73 B^{2} a b c d + 8 B^{2} b^{2} c^{2} + x^{2} \left(108 A^{2} b^{2} d^{2} + 396 A B b^{2} d^{2} + 510 B^{2} b^{2} d^{2}\right) + x \left(270 A^{2} a b d^{2} - 54 A^{2} b^{2} c d + 882 A B a b d^{2} - 90 A B b^{2} c d + 1077 B^{2} a b d^{2} - 57 B^{2} b^{2} c d\right)}{108 a^{6} d^{3} g^{4} i - 324 a^{5} b c d^{2} g^{4} i + 324 a^{4} b^{2} c^{2} d g^{4} i - 108 a^{3} b^{3} c^{3} g^{4} i + x^{3} \left(108 a^{3} b^{3} d^{3} g^{4} i - 324 a^{2} b^{4} c d^{2} g^{4} i + 324 a b^{5} c^{2} d g^{4} i - 108 b^{6} c^{3} g^{4} i\right) + x^{2} \left(324 a^{4} b^{2} d^{3} g^{4} i - 972 a^{3} b^{3} c d^{2} g^{4} i + 972 a^{2} b^{4} c^{2} d g^{4} i - 324 a b^{5} c^{3} g^{4} i\right) + x \left(324 a^{5} b d^{3} g^{4} i - 972 a^{4} b^{2} c d^{2} g^{4} i + 972 a^{3} b^{3} c^{2} d g^{4} i - 324 a^{2} b^{4} c^{3} g^{4} i\right)}"," ",0,"-B**2*d**3*log(e*(a + b*x)/(c + d*x))**3/(3*a**4*d**4*g**4*i - 12*a**3*b*c*d**3*g**4*i + 18*a**2*b**2*c**2*d**2*g**4*i - 12*a*b**3*c**3*d*g**4*i + 3*b**4*c**4*g**4*i) + d**3*(18*A**2 + 66*A*B + 85*B**2)*log(x + (18*A**2*a*d**4 + 18*A**2*b*c*d**3 + 66*A*B*a*d**4 + 66*A*B*b*c*d**3 + 85*B**2*a*d**4 + 85*B**2*b*c*d**3 - a**5*d**8*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 + 5*a**4*b*c*d**7*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 - 10*a**3*b**2*c**2*d**6*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 + 10*a**2*b**3*c**3*d**5*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 - 5*a*b**4*c**4*d**4*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 + b**5*c**5*d**3*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4)/(36*A**2*b*d**4 + 132*A*B*b*d**4 + 170*B**2*b*d**4))/(18*g**4*i*(a*d - b*c)**4) - d**3*(18*A**2 + 66*A*B + 85*B**2)*log(x + (18*A**2*a*d**4 + 18*A**2*b*c*d**3 + 66*A*B*a*d**4 + 66*A*B*b*c*d**3 + 85*B**2*a*d**4 + 85*B**2*b*c*d**3 + a**5*d**8*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 - 5*a**4*b*c*d**7*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 + 10*a**3*b**2*c**2*d**6*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 - 10*a**2*b**3*c**3*d**5*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 + 5*a*b**4*c**4*d**4*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4 - b**5*c**5*d**3*(18*A**2 + 66*A*B + 85*B**2)/(a*d - b*c)**4)/(36*A**2*b*d**4 + 132*A*B*b*d**4 + 170*B**2*b*d**4))/(18*g**4*i*(a*d - b*c)**4) + (66*A*B*a**2*d**2 - 42*A*B*a*b*c*d + 90*A*B*a*b*d**2*x + 12*A*B*b**2*c**2 - 18*A*B*b**2*c*d*x + 36*A*B*b**2*d**2*x**2 + 85*B**2*a**2*d**2 - 23*B**2*a*b*c*d + 147*B**2*a*b*d**2*x + 4*B**2*b**2*c**2 - 15*B**2*b**2*c*d*x + 66*B**2*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(18*a**6*d**3*g**4*i - 54*a**5*b*c*d**2*g**4*i + 54*a**5*b*d**3*g**4*i*x + 54*a**4*b**2*c**2*d*g**4*i - 162*a**4*b**2*c*d**2*g**4*i*x + 54*a**4*b**2*d**3*g**4*i*x**2 - 18*a**3*b**3*c**3*g**4*i + 162*a**3*b**3*c**2*d*g**4*i*x - 162*a**3*b**3*c*d**2*g**4*i*x**2 + 18*a**3*b**3*d**3*g**4*i*x**3 - 54*a**2*b**4*c**3*g**4*i*x + 162*a**2*b**4*c**2*d*g**4*i*x**2 - 54*a**2*b**4*c*d**2*g**4*i*x**3 - 54*a*b**5*c**3*g**4*i*x**2 + 54*a*b**5*c**2*d*g**4*i*x**3 - 18*b**6*c**3*g**4*i*x**3) + (-6*A*B*a**3*d**3 - 18*A*B*a**2*b*d**3*x - 18*A*B*a*b**2*d**3*x**2 - 6*A*B*b**3*d**3*x**3 - 18*B**2*a**2*b*c*d**2 - 18*B**2*a**2*b*d**3*x + 9*B**2*a*b**2*c**2*d - 18*B**2*a*b**2*c*d**2*x - 27*B**2*a*b**2*d**3*x**2 - 2*B**2*b**3*c**3 + 3*B**2*b**3*c**2*d*x - 6*B**2*b**3*c*d**2*x**2 - 11*B**2*b**3*d**3*x**3)*log(e*(a + b*x)/(c + d*x))**2/(6*a**7*d**4*g**4*i - 24*a**6*b*c*d**3*g**4*i + 18*a**6*b*d**4*g**4*i*x + 36*a**5*b**2*c**2*d**2*g**4*i - 72*a**5*b**2*c*d**3*g**4*i*x + 18*a**5*b**2*d**4*g**4*i*x**2 - 24*a**4*b**3*c**3*d*g**4*i + 108*a**4*b**3*c**2*d**2*g**4*i*x - 72*a**4*b**3*c*d**3*g**4*i*x**2 + 6*a**4*b**3*d**4*g**4*i*x**3 + 6*a**3*b**4*c**4*g**4*i - 72*a**3*b**4*c**3*d*g**4*i*x + 108*a**3*b**4*c**2*d**2*g**4*i*x**2 - 24*a**3*b**4*c*d**3*g**4*i*x**3 + 18*a**2*b**5*c**4*g**4*i*x - 72*a**2*b**5*c**3*d*g**4*i*x**2 + 36*a**2*b**5*c**2*d**2*g**4*i*x**3 + 18*a*b**6*c**4*g**4*i*x**2 - 24*a*b**6*c**3*d*g**4*i*x**3 + 6*b**7*c**4*g**4*i*x**3) + (198*A**2*a**2*d**2 - 126*A**2*a*b*c*d + 36*A**2*b**2*c**2 + 510*A*B*a**2*d**2 - 138*A*B*a*b*c*d + 24*A*B*b**2*c**2 + 575*B**2*a**2*d**2 - 73*B**2*a*b*c*d + 8*B**2*b**2*c**2 + x**2*(108*A**2*b**2*d**2 + 396*A*B*b**2*d**2 + 510*B**2*b**2*d**2) + x*(270*A**2*a*b*d**2 - 54*A**2*b**2*c*d + 882*A*B*a*b*d**2 - 90*A*B*b**2*c*d + 1077*B**2*a*b*d**2 - 57*B**2*b**2*c*d))/(108*a**6*d**3*g**4*i - 324*a**5*b*c*d**2*g**4*i + 324*a**4*b**2*c**2*d*g**4*i - 108*a**3*b**3*c**3*g**4*i + x**3*(108*a**3*b**3*d**3*g**4*i - 324*a**2*b**4*c*d**2*g**4*i + 324*a*b**5*c**2*d*g**4*i - 108*b**6*c**3*g**4*i) + x**2*(324*a**4*b**2*d**3*g**4*i - 972*a**3*b**3*c*d**2*g**4*i + 972*a**2*b**4*c**2*d*g**4*i - 324*a*b**5*c**3*g**4*i) + x*(324*a**5*b*d**3*g**4*i - 972*a**4*b**2*c*d**2*g**4*i + 972*a**3*b**3*c**2*d*g**4*i - 324*a**2*b**4*c**3*g**4*i))","B",0
92,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
93,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,1,432,0,3.464883," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**2,x)","\frac{2 B b \left(A - B\right) \log{\left(x + \frac{2 A B a b d + 2 A B b^{2} c - 2 B^{2} a b d - 2 B^{2} b^{2} c - \frac{2 B a^{2} b d^{2} \left(A - B\right)}{a d - b c} + \frac{4 B a b^{2} c d \left(A - B\right)}{a d - b c} - \frac{2 B b^{3} c^{2} \left(A - B\right)}{a d - b c}}{4 A B b^{2} d - 4 B^{2} b^{2} d} \right)}}{d i^{2} \left(a d - b c\right)} - \frac{2 B b \left(A - B\right) \log{\left(x + \frac{2 A B a b d + 2 A B b^{2} c - 2 B^{2} a b d - 2 B^{2} b^{2} c + \frac{2 B a^{2} b d^{2} \left(A - B\right)}{a d - b c} - \frac{4 B a b^{2} c d \left(A - B\right)}{a d - b c} + \frac{2 B b^{3} c^{2} \left(A - B\right)}{a d - b c}}{4 A B b^{2} d - 4 B^{2} b^{2} d} \right)}}{d i^{2} \left(a d - b c\right)} + \frac{\left(- 2 A B + 2 B^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{c d i^{2} + d^{2} i^{2} x} + \frac{\left(- B^{2} a - B^{2} b x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a c d i^{2} + a d^{2} i^{2} x - b c^{2} i^{2} - b c d i^{2} x} + \frac{- A^{2} + 2 A B - 2 B^{2}}{c d i^{2} + d^{2} i^{2} x}"," ",0,"2*B*b*(A - B)*log(x + (2*A*B*a*b*d + 2*A*B*b**2*c - 2*B**2*a*b*d - 2*B**2*b**2*c - 2*B*a**2*b*d**2*(A - B)/(a*d - b*c) + 4*B*a*b**2*c*d*(A - B)/(a*d - b*c) - 2*B*b**3*c**2*(A - B)/(a*d - b*c))/(4*A*B*b**2*d - 4*B**2*b**2*d))/(d*i**2*(a*d - b*c)) - 2*B*b*(A - B)*log(x + (2*A*B*a*b*d + 2*A*B*b**2*c - 2*B**2*a*b*d - 2*B**2*b**2*c + 2*B*a**2*b*d**2*(A - B)/(a*d - b*c) - 4*B*a*b**2*c*d*(A - B)/(a*d - b*c) + 2*B*b**3*c**2*(A - B)/(a*d - b*c))/(4*A*B*b**2*d - 4*B**2*b**2*d))/(d*i**2*(a*d - b*c)) + (-2*A*B + 2*B**2)*log(e*(a + b*x)/(c + d*x))/(c*d*i**2 + d**2*i**2*x) + (-B**2*a - B**2*b*x)*log(e*(a + b*x)/(c + d*x))**2/(a*c*d*i**2 + a*d**2*i**2*x - b*c**2*i**2 - b*c*d*i**2*x) + (-A**2 + 2*A*B - 2*B**2)/(c*d*i**2 + d**2*i**2*x)","B",0
96,1,539,0,6.194990," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)/(d*i*x+c*i)**2,x)","\frac{B^{2} b \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{2} d^{2} g i^{2} - 6 a b c d g i^{2} + 3 b^{2} c^{2} g i^{2}} + \frac{\left(- 2 A B + 2 B^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a c d g i^{2} + a d^{2} g i^{2} x - b c^{2} g i^{2} - b c d g i^{2} x} + \left(A^{2} - 2 A B + 2 B^{2}\right) \left(- \frac{b \log{\left(x + \frac{- \frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} + \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} - \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d + \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{g i^{2} \left(a d - b c\right)^{2}} + \frac{b \log{\left(x + \frac{\frac{a^{3} b d^{3}}{\left(a d - b c\right)^{2}} - \frac{3 a^{2} b^{2} c d^{2}}{\left(a d - b c\right)^{2}} + \frac{3 a b^{3} c^{2} d}{\left(a d - b c\right)^{2}} + a b d - \frac{b^{4} c^{3}}{\left(a d - b c\right)^{2}} + b^{2} c}{2 b^{2} d} \right)}}{g i^{2} \left(a d - b c\right)^{2}} - \frac{1}{a c d g i^{2} - b c^{2} g i^{2} + x \left(a d^{2} g i^{2} - b c d g i^{2}\right)}\right) + \frac{\left(A B b c + A B b d x - B^{2} a d - B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{2} c d^{2} g i^{2} + a^{2} d^{3} g i^{2} x - 2 a b c^{2} d g i^{2} - 2 a b c d^{2} g i^{2} x + b^{2} c^{3} g i^{2} + b^{2} c^{2} d g i^{2} x}"," ",0,"B**2*b*log(e*(a + b*x)/(c + d*x))**3/(3*a**2*d**2*g*i**2 - 6*a*b*c*d*g*i**2 + 3*b**2*c**2*g*i**2) + (-2*A*B + 2*B**2)*log(e*(a + b*x)/(c + d*x))/(a*c*d*g*i**2 + a*d**2*g*i**2*x - b*c**2*g*i**2 - b*c*d*g*i**2*x) + (A**2 - 2*A*B + 2*B**2)*(-b*log(x + (-a**3*b*d**3/(a*d - b*c)**2 + 3*a**2*b**2*c*d**2/(a*d - b*c)**2 - 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d + b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(g*i**2*(a*d - b*c)**2) + b*log(x + (a**3*b*d**3/(a*d - b*c)**2 - 3*a**2*b**2*c*d**2/(a*d - b*c)**2 + 3*a*b**3*c**2*d/(a*d - b*c)**2 + a*b*d - b**4*c**3/(a*d - b*c)**2 + b**2*c)/(2*b**2*d))/(g*i**2*(a*d - b*c)**2) - 1/(a*c*d*g*i**2 - b*c**2*g*i**2 + x*(a*d**2*g*i**2 - b*c*d*g*i**2))) + (A*B*b*c + A*B*b*d*x - B**2*a*d - B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))**2/(a**2*c*d**2*g*i**2 + a**2*d**3*g*i**2*x - 2*a*b*c**2*d*g*i**2 - 2*a*b*c*d**2*g*i**2*x + b**2*c**3*g*i**2 + b**2*c**2*d*g*i**2*x)","B",0
97,1,1404,0,9.760603," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2/(d*i*x+c*i)**2,x)","\frac{2 B^{2} b d \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{3} d^{3} g^{2} i^{2} - 9 a^{2} b c d^{2} g^{2} i^{2} + 9 a b^{2} c^{2} d g^{2} i^{2} - 3 b^{3} c^{3} g^{2} i^{2}} - \frac{2 b d \left(A^{2} + 2 B^{2}\right) \log{\left(x + \frac{2 A^{2} a b d^{2} + 2 A^{2} b^{2} c d + 4 B^{2} a b d^{2} + 4 B^{2} b^{2} c d - \frac{2 a^{4} b d^{5} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{8 a^{3} b^{2} c d^{4} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{12 a^{2} b^{3} c^{2} d^{3} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{8 a b^{4} c^{3} d^{2} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{2 b^{5} c^{4} d \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b^{2} d^{2} + 8 B^{2} b^{2} d^{2}} \right)}}{g^{2} i^{2} \left(a d - b c\right)^{3}} + \frac{2 b d \left(A^{2} + 2 B^{2}\right) \log{\left(x + \frac{2 A^{2} a b d^{2} + 2 A^{2} b^{2} c d + 4 B^{2} a b d^{2} + 4 B^{2} b^{2} c d + \frac{2 a^{4} b d^{5} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{8 a^{3} b^{2} c d^{4} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{12 a^{2} b^{3} c^{2} d^{3} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{8 a b^{4} c^{3} d^{2} \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{2 b^{5} c^{4} d \left(A^{2} + 2 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b^{2} d^{2} + 8 B^{2} b^{2} d^{2}} \right)}}{g^{2} i^{2} \left(a d - b c\right)^{3}} + \frac{\left(- 2 A B a d - 2 A B b c - 4 A B b d x + 2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a^{3} c d^{2} g^{2} i^{2} + a^{3} d^{3} g^{2} i^{2} x - 2 a^{2} b c^{2} d g^{2} i^{2} - a^{2} b c d^{2} g^{2} i^{2} x + a^{2} b d^{3} g^{2} i^{2} x^{2} + a b^{2} c^{3} g^{2} i^{2} - a b^{2} c^{2} d g^{2} i^{2} x - 2 a b^{2} c d^{2} g^{2} i^{2} x^{2} + b^{3} c^{3} g^{2} i^{2} x + b^{3} c^{2} d g^{2} i^{2} x^{2}} + \frac{\left(2 A B a b c d + 2 A B a b d^{2} x + 2 A B b^{2} c d x + 2 A B b^{2} d^{2} x^{2} - B^{2} a^{2} d^{2} - 2 B^{2} a b d^{2} x + B^{2} b^{2} c^{2} + 2 B^{2} b^{2} c d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{4} c d^{3} g^{2} i^{2} + a^{4} d^{4} g^{2} i^{2} x - 3 a^{3} b c^{2} d^{2} g^{2} i^{2} - 2 a^{3} b c d^{3} g^{2} i^{2} x + a^{3} b d^{4} g^{2} i^{2} x^{2} + 3 a^{2} b^{2} c^{3} d g^{2} i^{2} - 3 a^{2} b^{2} c d^{3} g^{2} i^{2} x^{2} - a b^{3} c^{4} g^{2} i^{2} + 2 a b^{3} c^{3} d g^{2} i^{2} x + 3 a b^{3} c^{2} d^{2} g^{2} i^{2} x^{2} - b^{4} c^{4} g^{2} i^{2} x - b^{4} c^{3} d g^{2} i^{2} x^{2}} - \frac{A^{2} a d + A^{2} b c - 2 A B a d + 2 A B b c + 2 B^{2} a d + 2 B^{2} b c + x \left(2 A^{2} b d + 4 B^{2} b d\right)}{a^{3} c d^{2} g^{2} i^{2} - 2 a^{2} b c^{2} d g^{2} i^{2} + a b^{2} c^{3} g^{2} i^{2} + x^{2} \left(a^{2} b d^{3} g^{2} i^{2} - 2 a b^{2} c d^{2} g^{2} i^{2} + b^{3} c^{2} d g^{2} i^{2}\right) + x \left(a^{3} d^{3} g^{2} i^{2} - a^{2} b c d^{2} g^{2} i^{2} - a b^{2} c^{2} d g^{2} i^{2} + b^{3} c^{3} g^{2} i^{2}\right)}"," ",0,"2*B**2*b*d*log(e*(a + b*x)/(c + d*x))**3/(3*a**3*d**3*g**2*i**2 - 9*a**2*b*c*d**2*g**2*i**2 + 9*a*b**2*c**2*d*g**2*i**2 - 3*b**3*c**3*g**2*i**2) - 2*b*d*(A**2 + 2*B**2)*log(x + (2*A**2*a*b*d**2 + 2*A**2*b**2*c*d + 4*B**2*a*b*d**2 + 4*B**2*b**2*c*d - 2*a**4*b*d**5*(A**2 + 2*B**2)/(a*d - b*c)**3 + 8*a**3*b**2*c*d**4*(A**2 + 2*B**2)/(a*d - b*c)**3 - 12*a**2*b**3*c**2*d**3*(A**2 + 2*B**2)/(a*d - b*c)**3 + 8*a*b**4*c**3*d**2*(A**2 + 2*B**2)/(a*d - b*c)**3 - 2*b**5*c**4*d*(A**2 + 2*B**2)/(a*d - b*c)**3)/(4*A**2*b**2*d**2 + 8*B**2*b**2*d**2))/(g**2*i**2*(a*d - b*c)**3) + 2*b*d*(A**2 + 2*B**2)*log(x + (2*A**2*a*b*d**2 + 2*A**2*b**2*c*d + 4*B**2*a*b*d**2 + 4*B**2*b**2*c*d + 2*a**4*b*d**5*(A**2 + 2*B**2)/(a*d - b*c)**3 - 8*a**3*b**2*c*d**4*(A**2 + 2*B**2)/(a*d - b*c)**3 + 12*a**2*b**3*c**2*d**3*(A**2 + 2*B**2)/(a*d - b*c)**3 - 8*a*b**4*c**3*d**2*(A**2 + 2*B**2)/(a*d - b*c)**3 + 2*b**5*c**4*d*(A**2 + 2*B**2)/(a*d - b*c)**3)/(4*A**2*b**2*d**2 + 8*B**2*b**2*d**2))/(g**2*i**2*(a*d - b*c)**3) + (-2*A*B*a*d - 2*A*B*b*c - 4*A*B*b*d*x + 2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)/(c + d*x))/(a**3*c*d**2*g**2*i**2 + a**3*d**3*g**2*i**2*x - 2*a**2*b*c**2*d*g**2*i**2 - a**2*b*c*d**2*g**2*i**2*x + a**2*b*d**3*g**2*i**2*x**2 + a*b**2*c**3*g**2*i**2 - a*b**2*c**2*d*g**2*i**2*x - 2*a*b**2*c*d**2*g**2*i**2*x**2 + b**3*c**3*g**2*i**2*x + b**3*c**2*d*g**2*i**2*x**2) + (2*A*B*a*b*c*d + 2*A*B*a*b*d**2*x + 2*A*B*b**2*c*d*x + 2*A*B*b**2*d**2*x**2 - B**2*a**2*d**2 - 2*B**2*a*b*d**2*x + B**2*b**2*c**2 + 2*B**2*b**2*c*d*x)*log(e*(a + b*x)/(c + d*x))**2/(a**4*c*d**3*g**2*i**2 + a**4*d**4*g**2*i**2*x - 3*a**3*b*c**2*d**2*g**2*i**2 - 2*a**3*b*c*d**3*g**2*i**2*x + a**3*b*d**4*g**2*i**2*x**2 + 3*a**2*b**2*c**3*d*g**2*i**2 - 3*a**2*b**2*c*d**3*g**2*i**2*x**2 - a*b**3*c**4*g**2*i**2 + 2*a*b**3*c**3*d*g**2*i**2*x + 3*a*b**3*c**2*d**2*g**2*i**2*x**2 - b**4*c**4*g**2*i**2*x - b**4*c**3*d*g**2*i**2*x**2) - (A**2*a*d + A**2*b*c - 2*A*B*a*d + 2*A*B*b*c + 2*B**2*a*d + 2*B**2*b*c + x*(2*A**2*b*d + 4*B**2*b*d))/(a**3*c*d**2*g**2*i**2 - 2*a**2*b*c**2*d*g**2*i**2 + a*b**2*c**3*g**2*i**2 + x**2*(a**2*b*d**3*g**2*i**2 - 2*a*b**2*c*d**2*g**2*i**2 + b**3*c**2*d*g**2*i**2) + x*(a**3*d**3*g**2*i**2 - a**2*b*c*d**2*g**2*i**2 - a*b**2*c**2*d*g**2*i**2 + b**3*c**3*g**2*i**2))","B",0
98,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**3,x)","\frac{g^{2} \left(\int \frac{A^{2} a^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{A^{2} b^{2} x^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B^{2} a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A^{2} a b x}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B^{2} b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 B^{2} a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{4 A B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx\right)}{i^{3}}"," ",0,"g**2*(Integral(A**2*a**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(A**2*b**2*x**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B**2*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A**2*a*b*x/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B**2*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*B**2*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(4*A*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))/i**3","F",0
102,1,712,0,13.796084," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**3,x)","\frac{B b^{2} g \left(2 A - B\right) \log{\left(x + \frac{2 A B a b^{2} d g + 2 A B b^{3} c g - B^{2} a b^{2} d g - B^{2} b^{3} c g - \frac{B a^{2} b^{2} d^{2} g \left(2 A - B\right)}{a d - b c} + \frac{2 B a b^{3} c d g \left(2 A - B\right)}{a d - b c} - \frac{B b^{4} c^{2} g \left(2 A - B\right)}{a d - b c}}{4 A B b^{3} d g - 2 B^{2} b^{3} d g} \right)}}{2 d^{2} i^{3} \left(a d - b c\right)} - \frac{B b^{2} g \left(2 A - B\right) \log{\left(x + \frac{2 A B a b^{2} d g + 2 A B b^{3} c g - B^{2} a b^{2} d g - B^{2} b^{3} c g + \frac{B a^{2} b^{2} d^{2} g \left(2 A - B\right)}{a d - b c} - \frac{2 B a b^{3} c d g \left(2 A - B\right)}{a d - b c} + \frac{B b^{4} c^{2} g \left(2 A - B\right)}{a d - b c}}{4 A B b^{3} d g - 2 B^{2} b^{3} d g} \right)}}{2 d^{2} i^{3} \left(a d - b c\right)} + \frac{\left(- B^{2} a^{2} g - 2 B^{2} a b g x - B^{2} b^{2} g x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a c^{2} d i^{3} + 4 a c d^{2} i^{3} x + 2 a d^{3} i^{3} x^{2} - 2 b c^{3} i^{3} - 4 b c^{2} d i^{3} x - 2 b c d^{2} i^{3} x^{2}} + \frac{- 2 A^{2} a d g - 2 A^{2} b c g + 2 A B a d g + 2 A B b c g - B^{2} a d g - B^{2} b c g + x \left(- 4 A^{2} b d g + 4 A B b d g - 2 B^{2} b d g\right)}{4 c^{2} d^{2} i^{3} + 8 c d^{3} i^{3} x + 4 d^{4} i^{3} x^{2}} + \frac{\left(- 2 A B a d g - 2 A B b c g - 4 A B b d g x + B^{2} a d g + B^{2} b c g + 2 B^{2} b d g x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 c^{2} d^{2} i^{3} + 4 c d^{3} i^{3} x + 2 d^{4} i^{3} x^{2}}"," ",0,"B*b**2*g*(2*A - B)*log(x + (2*A*B*a*b**2*d*g + 2*A*B*b**3*c*g - B**2*a*b**2*d*g - B**2*b**3*c*g - B*a**2*b**2*d**2*g*(2*A - B)/(a*d - b*c) + 2*B*a*b**3*c*d*g*(2*A - B)/(a*d - b*c) - B*b**4*c**2*g*(2*A - B)/(a*d - b*c))/(4*A*B*b**3*d*g - 2*B**2*b**3*d*g))/(2*d**2*i**3*(a*d - b*c)) - B*b**2*g*(2*A - B)*log(x + (2*A*B*a*b**2*d*g + 2*A*B*b**3*c*g - B**2*a*b**2*d*g - B**2*b**3*c*g + B*a**2*b**2*d**2*g*(2*A - B)/(a*d - b*c) - 2*B*a*b**3*c*d*g*(2*A - B)/(a*d - b*c) + B*b**4*c**2*g*(2*A - B)/(a*d - b*c))/(4*A*B*b**3*d*g - 2*B**2*b**3*d*g))/(2*d**2*i**3*(a*d - b*c)) + (-B**2*a**2*g - 2*B**2*a*b*g*x - B**2*b**2*g*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a*c**2*d*i**3 + 4*a*c*d**2*i**3*x + 2*a*d**3*i**3*x**2 - 2*b*c**3*i**3 - 4*b*c**2*d*i**3*x - 2*b*c*d**2*i**3*x**2) + (-2*A**2*a*d*g - 2*A**2*b*c*g + 2*A*B*a*d*g + 2*A*B*b*c*g - B**2*a*d*g - B**2*b*c*g + x*(-4*A**2*b*d*g + 4*A*B*b*d*g - 2*B**2*b*d*g))/(4*c**2*d**2*i**3 + 8*c*d**3*i**3*x + 4*d**4*i**3*x**2) + (-2*A*B*a*d*g - 2*A*B*b*c*g - 4*A*B*b*d*g*x + B**2*a*d*g + B**2*b*c*g + 2*B**2*b*d*g*x)*log(e*(a + b*x)/(c + d*x))/(2*c**2*d**2*i**3 + 4*c*d**3*i**3*x + 2*d**4*i**3*x**2)","B",0
103,1,892,0,6.177921," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(d*i*x+c*i)**3,x)","- \frac{B b^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A B a b^{2} d + 2 A B b^{3} c - 3 B^{2} a b^{2} d - 3 B^{2} b^{3} c - \frac{B a^{3} b^{2} d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b^{3} c d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{4} c^{2} d \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{B b^{5} c^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b^{3} d - 6 B^{2} b^{3} d} \right)}}{2 d i^{3} \left(a d - b c\right)^{2}} + \frac{B b^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A B a b^{2} d + 2 A B b^{3} c - 3 B^{2} a b^{2} d - 3 B^{2} b^{3} c + \frac{B a^{3} b^{2} d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b^{3} c d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{4} c^{2} d \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{B b^{5} c^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b^{3} d - 6 B^{2} b^{3} d} \right)}}{2 d i^{3} \left(a d - b c\right)^{2}} + \frac{\left(- B^{2} a^{2} d + 2 B^{2} a b c + 2 B^{2} b^{2} c x + B^{2} b^{2} d x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{2} c^{2} d^{2} i^{3} + 4 a^{2} c d^{3} i^{3} x + 2 a^{2} d^{4} i^{3} x^{2} - 4 a b c^{3} d i^{3} - 8 a b c^{2} d^{2} i^{3} x - 4 a b c d^{3} i^{3} x^{2} + 2 b^{2} c^{4} i^{3} + 4 b^{2} c^{3} d i^{3} x + 2 b^{2} c^{2} d^{2} i^{3} x^{2}} + \frac{\left(- 2 A B a d + 2 A B b c + B^{2} a d - 3 B^{2} b c - 2 B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a c^{2} d^{2} i^{3} + 4 a c d^{3} i^{3} x + 2 a d^{4} i^{3} x^{2} - 2 b c^{3} d i^{3} - 4 b c^{2} d^{2} i^{3} x - 2 b c d^{3} i^{3} x^{2}} + \frac{- 2 A^{2} a d + 2 A^{2} b c + 2 A B a d - 6 A B b c - B^{2} a d + 7 B^{2} b c + x \left(- 4 A B b d + 6 B^{2} b d\right)}{4 a c^{2} d^{2} i^{3} - 4 b c^{3} d i^{3} + x^{2} \left(4 a d^{4} i^{3} - 4 b c d^{3} i^{3}\right) + x \left(8 a c d^{3} i^{3} - 8 b c^{2} d^{2} i^{3}\right)}"," ",0,"-B*b**2*(2*A - 3*B)*log(x + (2*A*B*a*b**2*d + 2*A*B*b**3*c - 3*B**2*a*b**2*d - 3*B**2*b**3*c - B*a**3*b**2*d**3*(2*A - 3*B)/(a*d - b*c)**2 + 3*B*a**2*b**3*c*d**2*(2*A - 3*B)/(a*d - b*c)**2 - 3*B*a*b**4*c**2*d*(2*A - 3*B)/(a*d - b*c)**2 + B*b**5*c**3*(2*A - 3*B)/(a*d - b*c)**2)/(4*A*B*b**3*d - 6*B**2*b**3*d))/(2*d*i**3*(a*d - b*c)**2) + B*b**2*(2*A - 3*B)*log(x + (2*A*B*a*b**2*d + 2*A*B*b**3*c - 3*B**2*a*b**2*d - 3*B**2*b**3*c + B*a**3*b**2*d**3*(2*A - 3*B)/(a*d - b*c)**2 - 3*B*a**2*b**3*c*d**2*(2*A - 3*B)/(a*d - b*c)**2 + 3*B*a*b**4*c**2*d*(2*A - 3*B)/(a*d - b*c)**2 - B*b**5*c**3*(2*A - 3*B)/(a*d - b*c)**2)/(4*A*B*b**3*d - 6*B**2*b**3*d))/(2*d*i**3*(a*d - b*c)**2) + (-B**2*a**2*d + 2*B**2*a*b*c + 2*B**2*b**2*c*x + B**2*b**2*d*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a**2*c**2*d**2*i**3 + 4*a**2*c*d**3*i**3*x + 2*a**2*d**4*i**3*x**2 - 4*a*b*c**3*d*i**3 - 8*a*b*c**2*d**2*i**3*x - 4*a*b*c*d**3*i**3*x**2 + 2*b**2*c**4*i**3 + 4*b**2*c**3*d*i**3*x + 2*b**2*c**2*d**2*i**3*x**2) + (-2*A*B*a*d + 2*A*B*b*c + B**2*a*d - 3*B**2*b*c - 2*B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a*c**2*d**2*i**3 + 4*a*c*d**3*i**3*x + 2*a*d**4*i**3*x**2 - 2*b*c**3*d*i**3 - 4*b*c**2*d**2*i**3*x - 2*b*c*d**3*i**3*x**2) + (-2*A**2*a*d + 2*A**2*b*c + 2*A*B*a*d - 6*A*B*b*c - B**2*a*d + 7*B**2*b*c + x*(-4*A*B*b*d + 6*B**2*b*d))/(4*a*c**2*d**2*i**3 - 4*b*c**3*d*i**3 + x**2*(4*a*d**4*i**3 - 4*b*c*d**3*i**3) + x*(8*a*c*d**3*i**3 - 8*b*c**2*d**2*i**3))","B",0
104,1,1488,0,14.452498," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)/(d*i*x+c*i)**3,x)","- \frac{B^{2} b^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{3 a^{3} d^{3} g i^{3} - 9 a^{2} b c d^{2} g i^{3} + 9 a b^{2} c^{2} d g i^{3} - 3 b^{3} c^{3} g i^{3}} + \frac{b^{2} \left(2 A^{2} - 6 A B + 7 B^{2}\right) \log{\left(x + \frac{2 A^{2} a b^{2} d + 2 A^{2} b^{3} c - 6 A B a b^{2} d - 6 A B b^{3} c + 7 B^{2} a b^{2} d + 7 B^{2} b^{3} c - \frac{a^{4} b^{2} d^{4} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a^{3} b^{3} c d^{3} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{6 a^{2} b^{4} c^{2} d^{2} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{4 a b^{5} c^{3} d \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{b^{6} c^{4} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b^{3} d - 12 A B b^{3} d + 14 B^{2} b^{3} d} \right)}}{2 g i^{3} \left(a d - b c\right)^{3}} - \frac{b^{2} \left(2 A^{2} - 6 A B + 7 B^{2}\right) \log{\left(x + \frac{2 A^{2} a b^{2} d + 2 A^{2} b^{3} c - 6 A B a b^{2} d - 6 A B b^{3} c + 7 B^{2} a b^{2} d + 7 B^{2} b^{3} c + \frac{a^{4} b^{2} d^{4} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{4 a^{3} b^{3} c d^{3} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{6 a^{2} b^{4} c^{2} d^{2} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} - \frac{4 a b^{5} c^{3} d \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}} + \frac{b^{6} c^{4} \left(2 A^{2} - 6 A B + 7 B^{2}\right)}{\left(a d - b c\right)^{3}}}{4 A^{2} b^{3} d - 12 A B b^{3} d + 14 B^{2} b^{3} d} \right)}}{2 g i^{3} \left(a d - b c\right)^{3}} + \frac{\left(- 2 A B a d + 6 A B b c + 4 A B b d x + B^{2} a d - 7 B^{2} b c - 6 B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{2} c^{2} d^{2} g i^{3} + 4 a^{2} c d^{3} g i^{3} x + 2 a^{2} d^{4} g i^{3} x^{2} - 4 a b c^{3} d g i^{3} - 8 a b c^{2} d^{2} g i^{3} x - 4 a b c d^{3} g i^{3} x^{2} + 2 b^{2} c^{4} g i^{3} + 4 b^{2} c^{3} d g i^{3} x + 2 b^{2} c^{2} d^{2} g i^{3} x^{2}} + \frac{\left(- 2 A B b^{2} c^{2} - 4 A B b^{2} c d x - 2 A B b^{2} d^{2} x^{2} - B^{2} a^{2} d^{2} + 4 B^{2} a b c d + 2 B^{2} a b d^{2} x + 4 B^{2} b^{2} c d x + 3 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{3} c^{2} d^{3} g i^{3} + 4 a^{3} c d^{4} g i^{3} x + 2 a^{3} d^{5} g i^{3} x^{2} - 6 a^{2} b c^{3} d^{2} g i^{3} - 12 a^{2} b c^{2} d^{3} g i^{3} x - 6 a^{2} b c d^{4} g i^{3} x^{2} + 6 a b^{2} c^{4} d g i^{3} + 12 a b^{2} c^{3} d^{2} g i^{3} x + 6 a b^{2} c^{2} d^{3} g i^{3} x^{2} - 2 b^{3} c^{5} g i^{3} - 4 b^{3} c^{4} d g i^{3} x - 2 b^{3} c^{3} d^{2} g i^{3} x^{2}} + \frac{- 2 A^{2} a d + 6 A^{2} b c + 2 A B a d - 14 A B b c - B^{2} a d + 15 B^{2} b c + x \left(4 A^{2} b d - 12 A B b d + 14 B^{2} b d\right)}{4 a^{2} c^{2} d^{2} g i^{3} - 8 a b c^{3} d g i^{3} + 4 b^{2} c^{4} g i^{3} + x^{2} \left(4 a^{2} d^{4} g i^{3} - 8 a b c d^{3} g i^{3} + 4 b^{2} c^{2} d^{2} g i^{3}\right) + x \left(8 a^{2} c d^{3} g i^{3} - 16 a b c^{2} d^{2} g i^{3} + 8 b^{2} c^{3} d g i^{3}\right)}"," ",0,"-B**2*b**2*log(e*(a + b*x)/(c + d*x))**3/(3*a**3*d**3*g*i**3 - 9*a**2*b*c*d**2*g*i**3 + 9*a*b**2*c**2*d*g*i**3 - 3*b**3*c**3*g*i**3) + b**2*(2*A**2 - 6*A*B + 7*B**2)*log(x + (2*A**2*a*b**2*d + 2*A**2*b**3*c - 6*A*B*a*b**2*d - 6*A*B*b**3*c + 7*B**2*a*b**2*d + 7*B**2*b**3*c - a**4*b**2*d**4*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 + 4*a**3*b**3*c*d**3*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 - 6*a**2*b**4*c**2*d**2*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 + 4*a*b**5*c**3*d*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 - b**6*c**4*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3)/(4*A**2*b**3*d - 12*A*B*b**3*d + 14*B**2*b**3*d))/(2*g*i**3*(a*d - b*c)**3) - b**2*(2*A**2 - 6*A*B + 7*B**2)*log(x + (2*A**2*a*b**2*d + 2*A**2*b**3*c - 6*A*B*a*b**2*d - 6*A*B*b**3*c + 7*B**2*a*b**2*d + 7*B**2*b**3*c + a**4*b**2*d**4*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 - 4*a**3*b**3*c*d**3*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 + 6*a**2*b**4*c**2*d**2*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 - 4*a*b**5*c**3*d*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3 + b**6*c**4*(2*A**2 - 6*A*B + 7*B**2)/(a*d - b*c)**3)/(4*A**2*b**3*d - 12*A*B*b**3*d + 14*B**2*b**3*d))/(2*g*i**3*(a*d - b*c)**3) + (-2*A*B*a*d + 6*A*B*b*c + 4*A*B*b*d*x + B**2*a*d - 7*B**2*b*c - 6*B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a**2*c**2*d**2*g*i**3 + 4*a**2*c*d**3*g*i**3*x + 2*a**2*d**4*g*i**3*x**2 - 4*a*b*c**3*d*g*i**3 - 8*a*b*c**2*d**2*g*i**3*x - 4*a*b*c*d**3*g*i**3*x**2 + 2*b**2*c**4*g*i**3 + 4*b**2*c**3*d*g*i**3*x + 2*b**2*c**2*d**2*g*i**3*x**2) + (-2*A*B*b**2*c**2 - 4*A*B*b**2*c*d*x - 2*A*B*b**2*d**2*x**2 - B**2*a**2*d**2 + 4*B**2*a*b*c*d + 2*B**2*a*b*d**2*x + 4*B**2*b**2*c*d*x + 3*B**2*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a**3*c**2*d**3*g*i**3 + 4*a**3*c*d**4*g*i**3*x + 2*a**3*d**5*g*i**3*x**2 - 6*a**2*b*c**3*d**2*g*i**3 - 12*a**2*b*c**2*d**3*g*i**3*x - 6*a**2*b*c*d**4*g*i**3*x**2 + 6*a*b**2*c**4*d*g*i**3 + 12*a*b**2*c**3*d**2*g*i**3*x + 6*a*b**2*c**2*d**3*g*i**3*x**2 - 2*b**3*c**5*g*i**3 - 4*b**3*c**4*d*g*i**3*x - 2*b**3*c**3*d**2*g*i**3*x**2) + (-2*A**2*a*d + 6*A**2*b*c + 2*A*B*a*d - 14*A*B*b*c - B**2*a*d + 15*B**2*b*c + x*(4*A**2*b*d - 12*A*B*b*d + 14*B**2*b*d))/(4*a**2*c**2*d**2*g*i**3 - 8*a*b*c**3*d*g*i**3 + 4*b**2*c**4*g*i**3 + x**2*(4*a**2*d**4*g*i**3 - 8*a*b*c*d**3*g*i**3 + 4*b**2*c**2*d**2*g*i**3) + x*(8*a**2*c*d**3*g*i**3 - 16*a*b*c**2*d**2*g*i**3 + 8*b**2*c**3*d*g*i**3))","B",0
105,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,1,3720,0,127.919845," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3/(d*i*x+c*i)**3,x)","- \frac{2 B^{2} b^{2} d^{2} \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{3}}{a^{5} d^{5} g^{3} i^{3} - 5 a^{4} b c d^{4} g^{3} i^{3} + 10 a^{3} b^{2} c^{2} d^{3} g^{3} i^{3} - 10 a^{2} b^{3} c^{3} d^{2} g^{3} i^{3} + 5 a b^{4} c^{4} d g^{3} i^{3} - b^{5} c^{5} g^{3} i^{3}} + \frac{3 b^{2} d^{2} \left(2 A^{2} + 5 B^{2}\right) \log{\left(x + \frac{6 A^{2} a b^{2} d^{3} + 6 A^{2} b^{3} c d^{2} + 15 B^{2} a b^{2} d^{3} + 15 B^{2} b^{3} c d^{2} - \frac{3 a^{6} b^{2} d^{8} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{18 a^{5} b^{3} c d^{7} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{4} b^{4} c^{2} d^{6} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{60 a^{3} b^{5} c^{3} d^{5} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{45 a^{2} b^{6} c^{4} d^{4} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{18 a b^{7} c^{5} d^{3} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{3 b^{8} c^{6} d^{2} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}}}{12 A^{2} b^{3} d^{3} + 30 B^{2} b^{3} d^{3}} \right)}}{g^{3} i^{3} \left(a d - b c\right)^{5}} - \frac{3 b^{2} d^{2} \left(2 A^{2} + 5 B^{2}\right) \log{\left(x + \frac{6 A^{2} a b^{2} d^{3} + 6 A^{2} b^{3} c d^{2} + 15 B^{2} a b^{2} d^{3} + 15 B^{2} b^{3} c d^{2} + \frac{3 a^{6} b^{2} d^{8} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{18 a^{5} b^{3} c d^{7} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{4} b^{4} c^{2} d^{6} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{60 a^{3} b^{5} c^{3} d^{5} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{45 a^{2} b^{6} c^{4} d^{4} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} - \frac{18 a b^{7} c^{5} d^{3} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}} + \frac{3 b^{8} c^{6} d^{2} \left(2 A^{2} + 5 B^{2}\right)}{\left(a d - b c\right)^{5}}}{12 A^{2} b^{3} d^{3} + 30 B^{2} b^{3} d^{3}} \right)}}{g^{3} i^{3} \left(a d - b c\right)^{5}} + \frac{\left(- 2 A B a^{3} d^{3} + 14 A B a^{2} b c d^{2} + 8 A B a^{2} b d^{3} x + 14 A B a b^{2} c^{2} d + 56 A B a b^{2} c d^{2} x + 36 A B a b^{2} d^{3} x^{2} - 2 A B b^{3} c^{3} + 8 A B b^{3} c^{2} d x + 36 A B b^{3} c d^{2} x^{2} + 24 A B b^{3} d^{3} x^{3} + B^{2} a^{3} d^{3} - 15 B^{2} a^{2} b c d^{2} - 12 B^{2} a^{2} b d^{3} x + 15 B^{2} a b^{2} c^{2} d - 12 B^{2} a b^{2} d^{3} x^{2} - B^{2} b^{3} c^{3} + 12 B^{2} b^{3} c^{2} d x + 12 B^{2} b^{3} c d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{6} c^{2} d^{4} g^{3} i^{3} + 4 a^{6} c d^{5} g^{3} i^{3} x + 2 a^{6} d^{6} g^{3} i^{3} x^{2} - 8 a^{5} b c^{3} d^{3} g^{3} i^{3} - 12 a^{5} b c^{2} d^{4} g^{3} i^{3} x + 4 a^{5} b d^{6} g^{3} i^{3} x^{3} + 12 a^{4} b^{2} c^{4} d^{2} g^{3} i^{3} + 8 a^{4} b^{2} c^{3} d^{3} g^{3} i^{3} x - 18 a^{4} b^{2} c^{2} d^{4} g^{3} i^{3} x^{2} - 12 a^{4} b^{2} c d^{5} g^{3} i^{3} x^{3} + 2 a^{4} b^{2} d^{6} g^{3} i^{3} x^{4} - 8 a^{3} b^{3} c^{5} d g^{3} i^{3} + 8 a^{3} b^{3} c^{4} d^{2} g^{3} i^{3} x + 32 a^{3} b^{3} c^{3} d^{3} g^{3} i^{3} x^{2} + 8 a^{3} b^{3} c^{2} d^{4} g^{3} i^{3} x^{3} - 8 a^{3} b^{3} c d^{5} g^{3} i^{3} x^{4} + 2 a^{2} b^{4} c^{6} g^{3} i^{3} - 12 a^{2} b^{4} c^{5} d g^{3} i^{3} x - 18 a^{2} b^{4} c^{4} d^{2} g^{3} i^{3} x^{2} + 8 a^{2} b^{4} c^{3} d^{3} g^{3} i^{3} x^{3} + 12 a^{2} b^{4} c^{2} d^{4} g^{3} i^{3} x^{4} + 4 a b^{5} c^{6} g^{3} i^{3} x - 12 a b^{5} c^{4} d^{2} g^{3} i^{3} x^{3} - 8 a b^{5} c^{3} d^{3} g^{3} i^{3} x^{4} + 2 b^{6} c^{6} g^{3} i^{3} x^{2} + 4 b^{6} c^{5} d g^{3} i^{3} x^{3} + 2 b^{6} c^{4} d^{2} g^{3} i^{3} x^{4}} + \frac{\left(- 12 A B a^{2} b^{2} c^{2} d^{2} - 24 A B a^{2} b^{2} c d^{3} x - 12 A B a^{2} b^{2} d^{4} x^{2} - 24 A B a b^{3} c^{2} d^{2} x - 48 A B a b^{3} c d^{3} x^{2} - 24 A B a b^{3} d^{4} x^{3} - 12 A B b^{4} c^{2} d^{2} x^{2} - 24 A B b^{4} c d^{3} x^{3} - 12 A B b^{4} d^{4} x^{4} - B^{2} a^{4} d^{4} + 8 B^{2} a^{3} b c d^{3} + 4 B^{2} a^{3} b d^{4} x + 24 B^{2} a^{2} b^{2} c d^{3} x + 18 B^{2} a^{2} b^{2} d^{4} x^{2} - 8 B^{2} a b^{3} c^{3} d - 24 B^{2} a b^{3} c^{2} d^{2} x + 12 B^{2} a b^{3} d^{4} x^{3} + B^{2} b^{4} c^{4} - 4 B^{2} b^{4} c^{3} d x - 18 B^{2} b^{4} c^{2} d^{2} x^{2} - 12 B^{2} b^{4} c d^{3} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{7} c^{2} d^{5} g^{3} i^{3} + 4 a^{7} c d^{6} g^{3} i^{3} x + 2 a^{7} d^{7} g^{3} i^{3} x^{2} - 10 a^{6} b c^{3} d^{4} g^{3} i^{3} - 16 a^{6} b c^{2} d^{5} g^{3} i^{3} x - 2 a^{6} b c d^{6} g^{3} i^{3} x^{2} + 4 a^{6} b d^{7} g^{3} i^{3} x^{3} + 20 a^{5} b^{2} c^{4} d^{3} g^{3} i^{3} + 20 a^{5} b^{2} c^{3} d^{4} g^{3} i^{3} x - 18 a^{5} b^{2} c^{2} d^{5} g^{3} i^{3} x^{2} - 16 a^{5} b^{2} c d^{6} g^{3} i^{3} x^{3} + 2 a^{5} b^{2} d^{7} g^{3} i^{3} x^{4} - 20 a^{4} b^{3} c^{5} d^{2} g^{3} i^{3} + 50 a^{4} b^{3} c^{3} d^{4} g^{3} i^{3} x^{2} + 20 a^{4} b^{3} c^{2} d^{5} g^{3} i^{3} x^{3} - 10 a^{4} b^{3} c d^{6} g^{3} i^{3} x^{4} + 10 a^{3} b^{4} c^{6} d g^{3} i^{3} - 20 a^{3} b^{4} c^{5} d^{2} g^{3} i^{3} x - 50 a^{3} b^{4} c^{4} d^{3} g^{3} i^{3} x^{2} + 20 a^{3} b^{4} c^{2} d^{5} g^{3} i^{3} x^{4} - 2 a^{2} b^{5} c^{7} g^{3} i^{3} + 16 a^{2} b^{5} c^{6} d g^{3} i^{3} x + 18 a^{2} b^{5} c^{5} d^{2} g^{3} i^{3} x^{2} - 20 a^{2} b^{5} c^{4} d^{3} g^{3} i^{3} x^{3} - 20 a^{2} b^{5} c^{3} d^{4} g^{3} i^{3} x^{4} - 4 a b^{6} c^{7} g^{3} i^{3} x + 2 a b^{6} c^{6} d g^{3} i^{3} x^{2} + 16 a b^{6} c^{5} d^{2} g^{3} i^{3} x^{3} + 10 a b^{6} c^{4} d^{3} g^{3} i^{3} x^{4} - 2 b^{7} c^{7} g^{3} i^{3} x^{2} - 4 b^{7} c^{6} d g^{3} i^{3} x^{3} - 2 b^{7} c^{5} d^{2} g^{3} i^{3} x^{4}} + \frac{- 2 A^{2} a^{3} d^{3} + 14 A^{2} a^{2} b c d^{2} + 14 A^{2} a b^{2} c^{2} d - 2 A^{2} b^{3} c^{3} + 2 A B a^{3} d^{3} - 30 A B a^{2} b c d^{2} + 30 A B a b^{2} c^{2} d - 2 A B b^{3} c^{3} - B^{2} a^{3} d^{3} + 31 B^{2} a^{2} b c d^{2} + 31 B^{2} a b^{2} c^{2} d - B^{2} b^{3} c^{3} + x^{3} \left(24 A^{2} b^{3} d^{3} + 60 B^{2} b^{3} d^{3}\right) + x^{2} \left(36 A^{2} a b^{2} d^{3} + 36 A^{2} b^{3} c d^{2} - 24 A B a b^{2} d^{3} + 24 A B b^{3} c d^{2} + 90 B^{2} a b^{2} d^{3} + 90 B^{2} b^{3} c d^{2}\right) + x \left(8 A^{2} a^{2} b d^{3} + 56 A^{2} a b^{2} c d^{2} + 8 A^{2} b^{3} c^{2} d - 24 A B a^{2} b d^{3} + 24 A B b^{3} c^{2} d + 28 B^{2} a^{2} b d^{3} + 124 B^{2} a b^{2} c d^{2} + 28 B^{2} b^{3} c^{2} d\right)}{4 a^{6} c^{2} d^{4} g^{3} i^{3} - 16 a^{5} b c^{3} d^{3} g^{3} i^{3} + 24 a^{4} b^{2} c^{4} d^{2} g^{3} i^{3} - 16 a^{3} b^{3} c^{5} d g^{3} i^{3} + 4 a^{2} b^{4} c^{6} g^{3} i^{3} + x^{4} \left(4 a^{4} b^{2} d^{6} g^{3} i^{3} - 16 a^{3} b^{3} c d^{5} g^{3} i^{3} + 24 a^{2} b^{4} c^{2} d^{4} g^{3} i^{3} - 16 a b^{5} c^{3} d^{3} g^{3} i^{3} + 4 b^{6} c^{4} d^{2} g^{3} i^{3}\right) + x^{3} \left(8 a^{5} b d^{6} g^{3} i^{3} - 24 a^{4} b^{2} c d^{5} g^{3} i^{3} + 16 a^{3} b^{3} c^{2} d^{4} g^{3} i^{3} + 16 a^{2} b^{4} c^{3} d^{3} g^{3} i^{3} - 24 a b^{5} c^{4} d^{2} g^{3} i^{3} + 8 b^{6} c^{5} d g^{3} i^{3}\right) + x^{2} \left(4 a^{6} d^{6} g^{3} i^{3} - 36 a^{4} b^{2} c^{2} d^{4} g^{3} i^{3} + 64 a^{3} b^{3} c^{3} d^{3} g^{3} i^{3} - 36 a^{2} b^{4} c^{4} d^{2} g^{3} i^{3} + 4 b^{6} c^{6} g^{3} i^{3}\right) + x \left(8 a^{6} c d^{5} g^{3} i^{3} - 24 a^{5} b c^{2} d^{4} g^{3} i^{3} + 16 a^{4} b^{2} c^{3} d^{3} g^{3} i^{3} + 16 a^{3} b^{3} c^{4} d^{2} g^{3} i^{3} - 24 a^{2} b^{4} c^{5} d g^{3} i^{3} + 8 a b^{5} c^{6} g^{3} i^{3}\right)}"," ",0,"-2*B**2*b**2*d**2*log(e*(a + b*x)/(c + d*x))**3/(a**5*d**5*g**3*i**3 - 5*a**4*b*c*d**4*g**3*i**3 + 10*a**3*b**2*c**2*d**3*g**3*i**3 - 10*a**2*b**3*c**3*d**2*g**3*i**3 + 5*a*b**4*c**4*d*g**3*i**3 - b**5*c**5*g**3*i**3) + 3*b**2*d**2*(2*A**2 + 5*B**2)*log(x + (6*A**2*a*b**2*d**3 + 6*A**2*b**3*c*d**2 + 15*B**2*a*b**2*d**3 + 15*B**2*b**3*c*d**2 - 3*a**6*b**2*d**8*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 18*a**5*b**3*c*d**7*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 45*a**4*b**4*c**2*d**6*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 60*a**3*b**5*c**3*d**5*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 45*a**2*b**6*c**4*d**4*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 18*a*b**7*c**5*d**3*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 3*b**8*c**6*d**2*(2*A**2 + 5*B**2)/(a*d - b*c)**5)/(12*A**2*b**3*d**3 + 30*B**2*b**3*d**3))/(g**3*i**3*(a*d - b*c)**5) - 3*b**2*d**2*(2*A**2 + 5*B**2)*log(x + (6*A**2*a*b**2*d**3 + 6*A**2*b**3*c*d**2 + 15*B**2*a*b**2*d**3 + 15*B**2*b**3*c*d**2 + 3*a**6*b**2*d**8*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 18*a**5*b**3*c*d**7*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 45*a**4*b**4*c**2*d**6*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 60*a**3*b**5*c**3*d**5*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 45*a**2*b**6*c**4*d**4*(2*A**2 + 5*B**2)/(a*d - b*c)**5 - 18*a*b**7*c**5*d**3*(2*A**2 + 5*B**2)/(a*d - b*c)**5 + 3*b**8*c**6*d**2*(2*A**2 + 5*B**2)/(a*d - b*c)**5)/(12*A**2*b**3*d**3 + 30*B**2*b**3*d**3))/(g**3*i**3*(a*d - b*c)**5) + (-2*A*B*a**3*d**3 + 14*A*B*a**2*b*c*d**2 + 8*A*B*a**2*b*d**3*x + 14*A*B*a*b**2*c**2*d + 56*A*B*a*b**2*c*d**2*x + 36*A*B*a*b**2*d**3*x**2 - 2*A*B*b**3*c**3 + 8*A*B*b**3*c**2*d*x + 36*A*B*b**3*c*d**2*x**2 + 24*A*B*b**3*d**3*x**3 + B**2*a**3*d**3 - 15*B**2*a**2*b*c*d**2 - 12*B**2*a**2*b*d**3*x + 15*B**2*a*b**2*c**2*d - 12*B**2*a*b**2*d**3*x**2 - B**2*b**3*c**3 + 12*B**2*b**3*c**2*d*x + 12*B**2*b**3*c*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(2*a**6*c**2*d**4*g**3*i**3 + 4*a**6*c*d**5*g**3*i**3*x + 2*a**6*d**6*g**3*i**3*x**2 - 8*a**5*b*c**3*d**3*g**3*i**3 - 12*a**5*b*c**2*d**4*g**3*i**3*x + 4*a**5*b*d**6*g**3*i**3*x**3 + 12*a**4*b**2*c**4*d**2*g**3*i**3 + 8*a**4*b**2*c**3*d**3*g**3*i**3*x - 18*a**4*b**2*c**2*d**4*g**3*i**3*x**2 - 12*a**4*b**2*c*d**5*g**3*i**3*x**3 + 2*a**4*b**2*d**6*g**3*i**3*x**4 - 8*a**3*b**3*c**5*d*g**3*i**3 + 8*a**3*b**3*c**4*d**2*g**3*i**3*x + 32*a**3*b**3*c**3*d**3*g**3*i**3*x**2 + 8*a**3*b**3*c**2*d**4*g**3*i**3*x**3 - 8*a**3*b**3*c*d**5*g**3*i**3*x**4 + 2*a**2*b**4*c**6*g**3*i**3 - 12*a**2*b**4*c**5*d*g**3*i**3*x - 18*a**2*b**4*c**4*d**2*g**3*i**3*x**2 + 8*a**2*b**4*c**3*d**3*g**3*i**3*x**3 + 12*a**2*b**4*c**2*d**4*g**3*i**3*x**4 + 4*a*b**5*c**6*g**3*i**3*x - 12*a*b**5*c**4*d**2*g**3*i**3*x**3 - 8*a*b**5*c**3*d**3*g**3*i**3*x**4 + 2*b**6*c**6*g**3*i**3*x**2 + 4*b**6*c**5*d*g**3*i**3*x**3 + 2*b**6*c**4*d**2*g**3*i**3*x**4) + (-12*A*B*a**2*b**2*c**2*d**2 - 24*A*B*a**2*b**2*c*d**3*x - 12*A*B*a**2*b**2*d**4*x**2 - 24*A*B*a*b**3*c**2*d**2*x - 48*A*B*a*b**3*c*d**3*x**2 - 24*A*B*a*b**3*d**4*x**3 - 12*A*B*b**4*c**2*d**2*x**2 - 24*A*B*b**4*c*d**3*x**3 - 12*A*B*b**4*d**4*x**4 - B**2*a**4*d**4 + 8*B**2*a**3*b*c*d**3 + 4*B**2*a**3*b*d**4*x + 24*B**2*a**2*b**2*c*d**3*x + 18*B**2*a**2*b**2*d**4*x**2 - 8*B**2*a*b**3*c**3*d - 24*B**2*a*b**3*c**2*d**2*x + 12*B**2*a*b**3*d**4*x**3 + B**2*b**4*c**4 - 4*B**2*b**4*c**3*d*x - 18*B**2*b**4*c**2*d**2*x**2 - 12*B**2*b**4*c*d**3*x**3)*log(e*(a + b*x)/(c + d*x))**2/(2*a**7*c**2*d**5*g**3*i**3 + 4*a**7*c*d**6*g**3*i**3*x + 2*a**7*d**7*g**3*i**3*x**2 - 10*a**6*b*c**3*d**4*g**3*i**3 - 16*a**6*b*c**2*d**5*g**3*i**3*x - 2*a**6*b*c*d**6*g**3*i**3*x**2 + 4*a**6*b*d**7*g**3*i**3*x**3 + 20*a**5*b**2*c**4*d**3*g**3*i**3 + 20*a**5*b**2*c**3*d**4*g**3*i**3*x - 18*a**5*b**2*c**2*d**5*g**3*i**3*x**2 - 16*a**5*b**2*c*d**6*g**3*i**3*x**3 + 2*a**5*b**2*d**7*g**3*i**3*x**4 - 20*a**4*b**3*c**5*d**2*g**3*i**3 + 50*a**4*b**3*c**3*d**4*g**3*i**3*x**2 + 20*a**4*b**3*c**2*d**5*g**3*i**3*x**3 - 10*a**4*b**3*c*d**6*g**3*i**3*x**4 + 10*a**3*b**4*c**6*d*g**3*i**3 - 20*a**3*b**4*c**5*d**2*g**3*i**3*x - 50*a**3*b**4*c**4*d**3*g**3*i**3*x**2 + 20*a**3*b**4*c**2*d**5*g**3*i**3*x**4 - 2*a**2*b**5*c**7*g**3*i**3 + 16*a**2*b**5*c**6*d*g**3*i**3*x + 18*a**2*b**5*c**5*d**2*g**3*i**3*x**2 - 20*a**2*b**5*c**4*d**3*g**3*i**3*x**3 - 20*a**2*b**5*c**3*d**4*g**3*i**3*x**4 - 4*a*b**6*c**7*g**3*i**3*x + 2*a*b**6*c**6*d*g**3*i**3*x**2 + 16*a*b**6*c**5*d**2*g**3*i**3*x**3 + 10*a*b**6*c**4*d**3*g**3*i**3*x**4 - 2*b**7*c**7*g**3*i**3*x**2 - 4*b**7*c**6*d*g**3*i**3*x**3 - 2*b**7*c**5*d**2*g**3*i**3*x**4) + (-2*A**2*a**3*d**3 + 14*A**2*a**2*b*c*d**2 + 14*A**2*a*b**2*c**2*d - 2*A**2*b**3*c**3 + 2*A*B*a**3*d**3 - 30*A*B*a**2*b*c*d**2 + 30*A*B*a*b**2*c**2*d - 2*A*B*b**3*c**3 - B**2*a**3*d**3 + 31*B**2*a**2*b*c*d**2 + 31*B**2*a*b**2*c**2*d - B**2*b**3*c**3 + x**3*(24*A**2*b**3*d**3 + 60*B**2*b**3*d**3) + x**2*(36*A**2*a*b**2*d**3 + 36*A**2*b**3*c*d**2 - 24*A*B*a*b**2*d**3 + 24*A*B*b**3*c*d**2 + 90*B**2*a*b**2*d**3 + 90*B**2*b**3*c*d**2) + x*(8*A**2*a**2*b*d**3 + 56*A**2*a*b**2*c*d**2 + 8*A**2*b**3*c**2*d - 24*A*B*a**2*b*d**3 + 24*A*B*b**3*c**2*d + 28*B**2*a**2*b*d**3 + 124*B**2*a*b**2*c*d**2 + 28*B**2*b**3*c**2*d))/(4*a**6*c**2*d**4*g**3*i**3 - 16*a**5*b*c**3*d**3*g**3*i**3 + 24*a**4*b**2*c**4*d**2*g**3*i**3 - 16*a**3*b**3*c**5*d*g**3*i**3 + 4*a**2*b**4*c**6*g**3*i**3 + x**4*(4*a**4*b**2*d**6*g**3*i**3 - 16*a**3*b**3*c*d**5*g**3*i**3 + 24*a**2*b**4*c**2*d**4*g**3*i**3 - 16*a*b**5*c**3*d**3*g**3*i**3 + 4*b**6*c**4*d**2*g**3*i**3) + x**3*(8*a**5*b*d**6*g**3*i**3 - 24*a**4*b**2*c*d**5*g**3*i**3 + 16*a**3*b**3*c**2*d**4*g**3*i**3 + 16*a**2*b**4*c**3*d**3*g**3*i**3 - 24*a*b**5*c**4*d**2*g**3*i**3 + 8*b**6*c**5*d*g**3*i**3) + x**2*(4*a**6*d**6*g**3*i**3 - 36*a**4*b**2*c**2*d**4*g**3*i**3 + 64*a**3*b**3*c**3*d**3*g**3*i**3 - 36*a**2*b**4*c**4*d**2*g**3*i**3 + 4*b**6*c**6*g**3*i**3) + x*(8*a**6*c*d**5*g**3*i**3 - 24*a**5*b*c**2*d**4*g**3*i**3 + 16*a**4*b**2*c**3*d**3*g**3*i**3 + 16*a**3*b**3*c**4*d**2*g**3*i**3 - 24*a**2*b**4*c**5*d*g**3*i**3 + 8*a*b**5*c**6*g**3*i**3))","B",0
107,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,1,756,0,60.838015," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} a c g i x \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) & \text{for}\: b = 0 \wedge d = 0 \\a g \left(A c i x + \frac{A d i x^{2}}{2} - \frac{B c^{2} i n \log{\left(c + d x \right)}}{2 d} + B c i n x \log{\left(a \right)} - B c i n x \log{\left(c + d x \right)} + \frac{B c i n x}{2} + B c i x \log{\left(e \right)} + \frac{B d i n x^{2} \log{\left(a \right)}}{2} - \frac{B d i n x^{2} \log{\left(c + d x \right)}}{2} + \frac{B d i n x^{2}}{4} + \frac{B d i x^{2} \log{\left(e \right)}}{2}\right) & \text{for}\: b = 0 \\c i \left(A a g x + \frac{A b g x^{2}}{2} + \frac{B a^{2} g n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{2 b} + B a g n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - \frac{B a g n x}{2} + B a g x \log{\left(e \right)} + \frac{B b g n x^{2} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{2} - \frac{B b g n x^{2}}{4} + \frac{B b g x^{2} \log{\left(e \right)}}{2}\right) & \text{for}\: d = 0 \\A a c g i x + \frac{A a d g i x^{2}}{2} + \frac{A b c g i x^{2}}{2} + \frac{A b d g i x^{3}}{3} - \frac{B a^{3} d g i n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{6 b^{2}} - \frac{B a^{3} d g i n \log{\left(\frac{c}{d} + x \right)}}{6 b^{2}} + \frac{B a^{2} c g i n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2 b} + \frac{B a^{2} c g i n \log{\left(\frac{c}{d} + x \right)}}{2 b} + \frac{B a^{2} d g i n x}{6 b} - \frac{B a c^{2} g i n \log{\left(\frac{c}{d} + x \right)}}{2 d} + B a c g i n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + B a c g i x \log{\left(e \right)} + \frac{B a d g i n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} + \frac{B a d g i n x^{2}}{6} + \frac{B a d g i x^{2} \log{\left(e \right)}}{2} + \frac{B b c^{3} g i n \log{\left(\frac{c}{d} + x \right)}}{6 d^{2}} - \frac{B b c^{2} g i n x}{6 d} + \frac{B b c g i n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} - \frac{B b c g i n x^{2}}{6} + \frac{B b c g i x^{2} \log{\left(e \right)}}{2} + \frac{B b d g i n x^{3} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3} + \frac{B b d g i x^{3} \log{\left(e \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c*g*i*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (a*g*(A*c*i*x + A*d*i*x**2/2 - B*c**2*i*n*log(c + d*x)/(2*d) + B*c*i*n*x*log(a) - B*c*i*n*x*log(c + d*x) + B*c*i*n*x/2 + B*c*i*x*log(e) + B*d*i*n*x**2*log(a)/2 - B*d*i*n*x**2*log(c + d*x)/2 + B*d*i*n*x**2/4 + B*d*i*x**2*log(e)/2), Eq(b, 0)), (c*i*(A*a*g*x + A*b*g*x**2/2 + B*a**2*g*n*log(a/c + b*x/c)/(2*b) + B*a*g*n*x*log(a/c + b*x/c) - B*a*g*n*x/2 + B*a*g*x*log(e) + B*b*g*n*x**2*log(a/c + b*x/c)/2 - B*b*g*n*x**2/4 + B*b*g*x**2*log(e)/2), Eq(d, 0)), (A*a*c*g*i*x + A*a*d*g*i*x**2/2 + A*b*c*g*i*x**2/2 + A*b*d*g*i*x**3/3 - B*a**3*d*g*i*n*log(a/(c + d*x) + b*x/(c + d*x))/(6*b**2) - B*a**3*d*g*i*n*log(c/d + x)/(6*b**2) + B*a**2*c*g*i*n*log(a/(c + d*x) + b*x/(c + d*x))/(2*b) + B*a**2*c*g*i*n*log(c/d + x)/(2*b) + B*a**2*d*g*i*n*x/(6*b) - B*a*c**2*g*i*n*log(c/d + x)/(2*d) + B*a*c*g*i*n*x*log(a/(c + d*x) + b*x/(c + d*x)) + B*a*c*g*i*x*log(e) + B*a*d*g*i*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 + B*a*d*g*i*n*x**2/6 + B*a*d*g*i*x**2*log(e)/2 + B*b*c**3*g*i*n*log(c/d + x)/(6*d**2) - B*b*c**2*g*i*n*x/(6*d) + B*b*c*g*i*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 - B*b*c*g*i*n*x**2/6 + B*b*c*g*i*x**2*log(e)/2 + B*b*d*g*i*n*x**3*log(a/(c + d*x) + b*x/(c + d*x))/3 + B*b*d*g*i*x**3*log(e)/3, True))","A",0
111,1,444,0,39.912761," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} c i x \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) & \text{for}\: b = 0 \wedge d = 0 \\A c i x + \frac{A d i x^{2}}{2} - \frac{B c^{2} i n \log{\left(c + d x \right)}}{2 d} + B c i n x \log{\left(a \right)} - B c i n x \log{\left(c + d x \right)} + \frac{B c i n x}{2} + B c i x \log{\left(e \right)} + \frac{B d i n x^{2} \log{\left(a \right)}}{2} - \frac{B d i n x^{2} \log{\left(c + d x \right)}}{2} + \frac{B d i n x^{2}}{4} + \frac{B d i x^{2} \log{\left(e \right)}}{2} & \text{for}\: b = 0 \\c i \left(A x + \frac{B a n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b} + B n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - B n x + B x \log{\left(e \right)}\right) & \text{for}\: d = 0 \\A c i x + \frac{A d i x^{2}}{2} - \frac{B a^{2} d i n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2 b^{2}} - \frac{B a^{2} d i n \log{\left(\frac{c}{d} + x \right)}}{2 b^{2}} + \frac{B a c i n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a c i n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a d i n x}{2 b} - \frac{B c^{2} i n \log{\left(\frac{c}{d} + x \right)}}{2 d} + B c i n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{B c i n x}{2} + B c i x \log{\left(e \right)} + \frac{B d i n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} + \frac{B d i x^{2} \log{\left(e \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*i*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (A*c*i*x + A*d*i*x**2/2 - B*c**2*i*n*log(c + d*x)/(2*d) + B*c*i*n*x*log(a) - B*c*i*n*x*log(c + d*x) + B*c*i*n*x/2 + B*c*i*x*log(e) + B*d*i*n*x**2*log(a)/2 - B*d*i*n*x**2*log(c + d*x)/2 + B*d*i*n*x**2/4 + B*d*i*x**2*log(e)/2, Eq(b, 0)), (c*i*(A*x + B*a*n*log(a/c + b*x/c)/b + B*n*x*log(a/c + b*x/c) - B*n*x + B*x*log(e)), Eq(d, 0)), (A*c*i*x + A*d*i*x**2/2 - B*a**2*d*i*n*log(a/(c + d*x) + b*x/(c + d*x))/(2*b**2) - B*a**2*d*i*n*log(c/d + x)/(2*b**2) + B*a*c*i*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*c*i*n*log(c/d + x)/b + B*a*d*i*n*x/(2*b) - B*c**2*i*n*log(c/d + x)/(2*d) + B*c*i*n*x*log(a/(c + d*x) + b*x/(c + d*x)) - B*c*i*n*x/2 + B*c*i*x*log(e) + B*d*i*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 + B*d*i*x**2*log(e)/2, True))","A",0
112,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g),x)","\frac{i \left(\int \frac{A c}{a + b x}\, dx + \int \frac{A d x}{a + b x}\, dx + \int \frac{B c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a + b x}\, dx + \int \frac{B d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i*(Integral(A*c/(a + b*x), x) + Integral(A*d*x/(a + b*x), x) + Integral(B*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x) + Integral(B*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x))/g","F",0
113,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
114,-2,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
115,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
117,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
118,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
120,1,779,0,58.605686," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} c^{2} i^{2} x \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) & \text{for}\: b = 0 \wedge d = 0 \\A c^{2} i^{2} x + A c d i^{2} x^{2} + \frac{A d^{2} i^{2} x^{3}}{3} - \frac{B c^{3} i^{2} n \log{\left(c + d x \right)}}{3 d} + B c^{2} i^{2} n x \log{\left(a \right)} - B c^{2} i^{2} n x \log{\left(c + d x \right)} + \frac{B c^{2} i^{2} n x}{3} + B c^{2} i^{2} x \log{\left(e \right)} + B c d i^{2} n x^{2} \log{\left(a \right)} - B c d i^{2} n x^{2} \log{\left(c + d x \right)} + \frac{B c d i^{2} n x^{2}}{3} + B c d i^{2} x^{2} \log{\left(e \right)} + \frac{B d^{2} i^{2} n x^{3} \log{\left(a \right)}}{3} - \frac{B d^{2} i^{2} n x^{3} \log{\left(c + d x \right)}}{3} + \frac{B d^{2} i^{2} n x^{3}}{9} + \frac{B d^{2} i^{2} x^{3} \log{\left(e \right)}}{3} & \text{for}\: b = 0 \\c^{2} i^{2} \left(A x + \frac{B a n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b} + B n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - B n x + B x \log{\left(e \right)}\right) & \text{for}\: d = 0 \\A c^{2} i^{2} x + A c d i^{2} x^{2} + \frac{A d^{2} i^{2} x^{3}}{3} + \frac{B a^{3} d^{2} i^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3 b^{3}} + \frac{B a^{3} d^{2} i^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 b^{3}} - \frac{B a^{2} c d i^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b^{2}} - \frac{B a^{2} c d i^{2} n \log{\left(\frac{c}{d} + x \right)}}{b^{2}} - \frac{B a^{2} d^{2} i^{2} n x}{3 b^{2}} + \frac{B a c^{2} i^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a c^{2} i^{2} n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a c d i^{2} n x}{b} + \frac{B a d^{2} i^{2} n x^{2}}{6 b} - \frac{B c^{3} i^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 d} + B c^{2} i^{2} n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{2 B c^{2} i^{2} n x}{3} + B c^{2} i^{2} x \log{\left(e \right)} + B c d i^{2} n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{B c d i^{2} n x^{2}}{6} + B c d i^{2} x^{2} \log{\left(e \right)} + \frac{B d^{2} i^{2} n x^{3} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3} + \frac{B d^{2} i^{2} x^{3} \log{\left(e \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**2*i**2*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (A*c**2*i**2*x + A*c*d*i**2*x**2 + A*d**2*i**2*x**3/3 - B*c**3*i**2*n*log(c + d*x)/(3*d) + B*c**2*i**2*n*x*log(a) - B*c**2*i**2*n*x*log(c + d*x) + B*c**2*i**2*n*x/3 + B*c**2*i**2*x*log(e) + B*c*d*i**2*n*x**2*log(a) - B*c*d*i**2*n*x**2*log(c + d*x) + B*c*d*i**2*n*x**2/3 + B*c*d*i**2*x**2*log(e) + B*d**2*i**2*n*x**3*log(a)/3 - B*d**2*i**2*n*x**3*log(c + d*x)/3 + B*d**2*i**2*n*x**3/9 + B*d**2*i**2*x**3*log(e)/3, Eq(b, 0)), (c**2*i**2*(A*x + B*a*n*log(a/c + b*x/c)/b + B*n*x*log(a/c + b*x/c) - B*n*x + B*x*log(e)), Eq(d, 0)), (A*c**2*i**2*x + A*c*d*i**2*x**2 + A*d**2*i**2*x**3/3 + B*a**3*d**2*i**2*n*log(a/(c + d*x) + b*x/(c + d*x))/(3*b**3) + B*a**3*d**2*i**2*n*log(c/d + x)/(3*b**3) - B*a**2*c*d*i**2*n*log(a/(c + d*x) + b*x/(c + d*x))/b**2 - B*a**2*c*d*i**2*n*log(c/d + x)/b**2 - B*a**2*d**2*i**2*n*x/(3*b**2) + B*a*c**2*i**2*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*c**2*i**2*n*log(c/d + x)/b + B*a*c*d*i**2*n*x/b + B*a*d**2*i**2*n*x**2/(6*b) - B*c**3*i**2*n*log(c/d + x)/(3*d) + B*c**2*i**2*n*x*log(a/(c + d*x) + b*x/(c + d*x)) - 2*B*c**2*i**2*n*x/3 + B*c**2*i**2*x*log(e) + B*c*d*i**2*n*x**2*log(a/(c + d*x) + b*x/(c + d*x)) - B*c*d*i**2*n*x**2/6 + B*c*d*i**2*x**2*log(e) + B*d**2*i**2*n*x**3*log(a/(c + d*x) + b*x/(c + d*x))/3 + B*d**2*i**2*x**3*log(e)/3, True))","A",0
121,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
123,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
126,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
127,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
134,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
135,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
136,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i),x)","\frac{g \left(\int \frac{A a}{c + d x}\, dx + \int \frac{A b x}{c + d x}\, dx + \int \frac{B a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx + \int \frac{B b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g*(Integral(A*a/(c + d*x), x) + Integral(A*b*x/(c + d*x), x) + Integral(B*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x) + Integral(B*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x))/i","F",0
138,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i),x)","\frac{\int \frac{A}{c + d x}\, dx + \int \frac{B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx}{i}"," ",0,"(Integral(A/(c + d*x), x) + Integral(B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x))/i","F",0
139,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)/(d*i*x+c*i),x)","\frac{\int \frac{A}{a c + a d x + b c x + b d x^{2}}\, dx + \int \frac{B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a c + a d x + b c x + b d x^{2}}\, dx}{g i}"," ",0,"(Integral(A/(a*c + a*d*x + b*c*x + b*d*x**2), x) + Integral(B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a*c + a*d*x + b*c*x + b*d*x**2), x))/(g*i)","F",0
140,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
141,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
142,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
143,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
144,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
145,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
146,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**2,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
147,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
148,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,-2,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**3,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
154,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*i*x+c*i)**3,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
155,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
157,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**3/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
158,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**4/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
159,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
160,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","i \left(\int A^{2} c\, dx + \int A^{2} d x\, dx + \int B^{2} c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}\, dx + \int 2 A B c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\, dx + \int B^{2} d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}\, dx + \int 2 A B d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\, dx\right)"," ",0,"i*(Integral(A**2*c, x) + Integral(A**2*d*x, x) + Integral(B**2*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2, x) + Integral(2*A*B*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n), x) + Integral(B**2*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2, x) + Integral(2*A*B*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n), x))","F",0
163,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g),x)","\frac{i \left(\int \frac{A^{2} c}{a + b x}\, dx + \int \frac{A^{2} d x}{a + b x}\, dx + \int \frac{B^{2} c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a + b x}\, dx + \int \frac{B^{2} d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a + b x}\, dx\right)}{g}"," ",0,"i*(Integral(A**2*c/(a + b*x), x) + Integral(A**2*d*x/(a + b*x), x) + Integral(B**2*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a + b*x), x) + Integral(2*A*B*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x) + Integral(B**2*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a + b*x), x) + Integral(2*A*B*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x))/g","F",0
164,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
165,0,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3,x)","\frac{i \left(\int \frac{A^{2} c}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{A^{2} d x}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B^{2} c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A B c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{B^{2} d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx + \int \frac{2 A B d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx\right)}{g^{3}}"," ",0,"i*(Integral(A**2*c/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(A**2*d*x/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B**2*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A*B*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B**2*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(2*A*B*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x))/g**3","F",0
166,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
167,-1,0,0,0.000000," ","integrate((d*i*x+c*i)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
176,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
177,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
178,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
179,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
182,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate((d*i*x+c*i)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
187,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i),x)","\frac{g \left(\int \frac{A^{2} a}{c + d x}\, dx + \int \frac{A^{2} b x}{c + d x}\, dx + \int \frac{B^{2} a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx + \int \frac{B^{2} b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx\right)}{i}"," ",0,"g*(Integral(A**2*a/(c + d*x), x) + Integral(A**2*b*x/(c + d*x), x) + Integral(B**2*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c + d*x), x) + Integral(2*A*B*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x) + Integral(B**2*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c + d*x), x) + Integral(2*A*B*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x))/i","F",0
189,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i),x)","\frac{\int \frac{A^{2}}{c + d x}\, dx + \int \frac{B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c + d x}\, dx + \int \frac{2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c + d x}\, dx}{i}"," ",0,"(Integral(A**2/(c + d*x), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c + d*x), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c + d*x), x))/i","F",0
190,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)/(d*i*x+c*i),x)","\frac{\int \frac{A^{2}}{a c + a d x + b c x + b d x^{2}}\, dx + \int \frac{B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{a c + a d x + b c x + b d x^{2}}\, dx + \int \frac{2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a c + a d x + b c x + b d x^{2}}\, dx}{g i}"," ",0,"(Integral(A**2/(a*c + a*d*x + b*c*x + b*d*x**2), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a*c + a*d*x + b*c*x + b*d*x**2), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a*c + a*d*x + b*c*x + b*d*x**2), x))/(g*i)","F",0
191,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4/(d*i*x+c*i),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
195,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
196,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**2,x)","\frac{\int \frac{A^{2}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx}{i^{2}}"," ",0,"(Integral(A**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c**2 + 2*c*d*x + d**2*x**2), x))/i**2","F",0
198,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
199,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
200,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4/(d*i*x+c*i)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
202,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
203,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
204,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**3,x)","\frac{g \left(\int \frac{A^{2} a}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{A^{2} b x}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B^{2} a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A B a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B^{2} b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A B b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx\right)}{i^{3}}"," ",0,"g*(Integral(A**2*a/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(A**2*b*x/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B**2*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*B*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B**2*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*B*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))/i**3","F",0
205,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*i*x+c*i)**3,x)","\frac{\int \frac{A^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx}{i^{3}}"," ",0,"(Integral(A**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))/i**3","F",0
206,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
207,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
208,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4/(d*i*x+c*i)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
216,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
217,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
218,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
220,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
221,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
222,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
223,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,-1,0,0,0.000000," ","integrate(ln(e*((b*x+a)/(d*x+c))**n)**p/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
225,-1,0,0,0.000000," ","integrate(ln(e*((b*x+a)/(d*x+c))**n)**p/(a*c+(a*d+b*c)*x+b*d*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
226,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**m*(d*i*x+c*i)**(-2-m)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
227,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**(-2-m)*(d*i*x+c*i)**m*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
228,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
233,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
234,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**p/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
235,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**p/(b*f*x+a*f)/(d*g*x+c*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
236,-1,0,0,0.000000," ","integrate((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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate(1/(b*x+a)/(d*x+c)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate(1/(b*f*x+a*f)/(d*g*x+c*g)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate(1/(a*c*f+(a*d+b*c)*f*x+b*d*f*x**2)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate((b*x+a)**m*(d*x+c)**(-2-m)/ln(e*(b*x+a)**n/((d*x+c)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate((b*x+a)**3/(d*x+c)**5/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate((b*x+a)**2/(d*x+c)**4/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate((b*x+a)/(d*x+c)**3/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,-1,0,0,0.000000," ","integrate(1/(d*x+c)**2/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
245,1,160,0,82.019894," ","integrate(1/(b*x+a)/(d*x+c)/ln(e*((b*x+a)/(d*x+c))**n),x)","\begin{cases} - \frac{1}{\left(b c + b d x\right) \log{\left(e \right)}} & \text{for}\: a = \frac{b c}{d} \wedge n = 0 \\- \frac{1}{b c n \log{\left(\frac{b c}{c d + d^{2} x} + \frac{b x}{c + d x} \right)} + b c \log{\left(e \right)} + b d n x \log{\left(\frac{b c}{c d + d^{2} x} + \frac{b x}{c + d x} \right)} + b d x \log{\left(e \right)}} & \text{for}\: a = \frac{b c}{d} \\\frac{- \frac{\log{\left(\frac{a}{b} + x \right)}}{a d - b c} + \frac{\log{\left(\frac{c}{d} + x \right)}}{a d - b c}}{\log{\left(e \right)}} & \text{for}\: n = 0 \\- \frac{\log{\left(n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + \log{\left(e \right)} \right)}}{a d n - b c n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-1/((b*c + b*d*x)*log(e)), Eq(n, 0) & Eq(a, b*c/d)), (-1/(b*c*n*log(b*c/(c*d + d**2*x) + b*x/(c + d*x)) + b*c*log(e) + b*d*n*x*log(b*c/(c*d + d**2*x) + b*x/(c + d*x)) + b*d*x*log(e)), Eq(a, b*c/d)), ((-log(a/b + x)/(a*d - b*c) + log(c/d + x)/(a*d - b*c))/log(e), Eq(n, 0)), (-log(n*log(a/(c + d*x) + b*x/(c + d*x)) + log(e))/(a*d*n - b*c*n), True))","A",0
246,0,0,0,0.000000," ","integrate(1/(b*x+a)**2/ln(e*((b*x+a)/(d*x+c))**n),x)","\int \frac{1}{\left(a + b x\right)^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx"," ",0,"Integral(1/((a + b*x)**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)","F",0
247,-1,0,0,0.000000," ","integrate((d*x+c)/(b*x+a)**3/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate((d*x+c)**2/(b*x+a)**4/ln(e*((b*x+a)/(d*x+c))**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**4/(g*x+f)/(b*h*x+a*h),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
250,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(g*x+f)/(b*h*x+a*h),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
251,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(g*x+f)/(b*h*x+a*h),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(g*x+f)/(b*h*x+a*h),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
253,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
254,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(b*h*x+a*h)/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
255,-1,0,0,0.000000," ","integrate(ln((d*x+c)/(b*x+a))/(b*x+a)/((a-c)*h+(b-d)*h*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,-1,0,0,0.000000," ","integrate(ln((a-c*g+(-d*g+b)*x)/(b*x+a))/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
257,-1,0,0,0.000000," ","integrate(ln(1-g*(d*x+c)/(b*x+a))/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
258,-1,0,0,0.000000," ","integrate(ln((-d*g*x+b*x-c*g+a)/(b*x+a))/(b*x+a)/(d*x+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
259,-1,0,0,0.000000," ","integrate((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)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(a*f*h+b*g*h*x**2+h*(a*g*x+b*f*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(a*f*h+b*g*h*x**2+h*(a*g*x+b*f*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,-1,0,0,0.000000," ","integrate(1/(a*f*h+b*g*h*x**2+h*(a*g*x+b*f*x))/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
263,-1,0,0,0.000000," ","integrate(1/(a*f*h+b*g*h*x**2+h*(a*g*x+b*f*x))/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
