1,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,1,673,0,60.494123," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} a^{2} g^{2} x \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) & \text{for}\: b = 0 \wedge d = 0 \\A a^{2} g^{2} x + A a b g^{2} x^{2} + \frac{A b^{2} g^{2} x^{3}}{3} + \frac{B a^{3} g^{2} n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{3 b} + B a^{2} g^{2} n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - \frac{B a^{2} g^{2} n x}{3} + B a^{2} g^{2} x \log{\left(e \right)} + B a b g^{2} n x^{2} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - \frac{B a b g^{2} n x^{2}}{3} + B a b g^{2} x^{2} \log{\left(e \right)} + \frac{B b^{2} g^{2} n x^{3} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{3} - \frac{B b^{2} g^{2} n x^{3}}{9} + \frac{B b^{2} g^{2} x^{3} \log{\left(e \right)}}{3} & \text{for}\: d = 0 \\a^{2} g^{2} \left(A x - \frac{B c n \log{\left(c + d x \right)}}{d} + B n x \log{\left(a \right)} - B n x \log{\left(c + d x \right)} + B n x + B x \log{\left(e \right)}\right) & \text{for}\: b = 0 \\A a^{2} g^{2} x + A a b g^{2} x^{2} + \frac{A b^{2} g^{2} x^{3}}{3} + \frac{B a^{3} g^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3 b} + \frac{B a^{3} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 b} - \frac{B a^{2} c g^{2} n \log{\left(\frac{c}{d} + x \right)}}{d} + B a^{2} g^{2} n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + \frac{2 B a^{2} g^{2} n x}{3} + B a^{2} g^{2} x \log{\left(e \right)} + \frac{B a b c^{2} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{d^{2}} - \frac{B a b c g^{2} n x}{d} + B a b g^{2} n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + \frac{B a b g^{2} n x^{2}}{6} + B a b g^{2} x^{2} \log{\left(e \right)} - \frac{B b^{2} c^{3} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 d^{3}} + \frac{B b^{2} c^{2} g^{2} n x}{3 d^{2}} - \frac{B b^{2} c g^{2} n x^{2}}{6 d} + \frac{B b^{2} g^{2} n x^{3} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3} + \frac{B b^{2} g^{2} x^{3} \log{\left(e \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*g**2*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (A*a**2*g**2*x + A*a*b*g**2*x**2 + A*b**2*g**2*x**3/3 + B*a**3*g**2*n*log(a/c + b*x/c)/(3*b) + B*a**2*g**2*n*x*log(a/c + b*x/c) - B*a**2*g**2*n*x/3 + B*a**2*g**2*x*log(e) + B*a*b*g**2*n*x**2*log(a/c + b*x/c) - B*a*b*g**2*n*x**2/3 + B*a*b*g**2*x**2*log(e) + B*b**2*g**2*n*x**3*log(a/c + b*x/c)/3 - B*b**2*g**2*n*x**3/9 + B*b**2*g**2*x**3*log(e)/3, Eq(d, 0)), (a**2*g**2*(A*x - B*c*n*log(c + d*x)/d + B*n*x*log(a) - B*n*x*log(c + d*x) + B*n*x + B*x*log(e)), Eq(b, 0)), (A*a**2*g**2*x + A*a*b*g**2*x**2 + A*b**2*g**2*x**3/3 + B*a**3*g**2*n*log(a/(c + d*x) + b*x/(c + d*x))/(3*b) + B*a**3*g**2*n*log(c/d + x)/(3*b) - B*a**2*c*g**2*n*log(c/d + x)/d + B*a**2*g**2*n*x*log(a/(c + d*x) + b*x/(c + d*x)) + 2*B*a**2*g**2*n*x/3 + B*a**2*g**2*x*log(e) + B*a*b*c**2*g**2*n*log(c/d + x)/d**2 - B*a*b*c*g**2*n*x/d + B*a*b*g**2*n*x**2*log(a/(c + d*x) + b*x/(c + d*x)) + B*a*b*g**2*n*x**2/6 + B*a*b*g**2*x**2*log(e) - B*b**2*c**3*g**2*n*log(c/d + x)/(3*d**3) + B*b**2*c**2*g**2*n*x/(3*d**2) - B*b**2*c*g**2*n*x**2/(6*d) + B*b**2*g**2*n*x**3*log(a/(c + d*x) + b*x/(c + d*x))/3 + B*b**2*g**2*x**3*log(e)/3, True))","A",0
4,1,398,0,40.673018," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} a g 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 x - \frac{B c n \log{\left(c + d x \right)}}{d} + B n x \log{\left(a \right)} - B n x \log{\left(c + d x \right)} + B n x + B x \log{\left(e \right)}\right) & \text{for}\: b = 0 \\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} & \text{for}\: d = 0 \\A a g x + \frac{A b g x^{2}}{2} + \frac{B a^{2} g n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2 b} + \frac{B a^{2} g n \log{\left(\frac{c}{d} + x \right)}}{2 b} - \frac{B a c g n \log{\left(\frac{c}{d} + x \right)}}{d} + B a g n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + \frac{B a g n x}{2} + B a g x \log{\left(e \right)} + \frac{B b c^{2} g n \log{\left(\frac{c}{d} + x \right)}}{2 d^{2}} - \frac{B b c g n x}{2 d} + \frac{B b g n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} + \frac{B b g x^{2} \log{\left(e \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*g*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (a*g*(A*x - B*c*n*log(c + d*x)/d + B*n*x*log(a) - B*n*x*log(c + d*x) + B*n*x + B*x*log(e)), Eq(b, 0)), (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*g*x + A*b*g*x**2/2 + B*a**2*g*n*log(a/(c + d*x) + b*x/(c + d*x))/(2*b) + B*a**2*g*n*log(c/d + x)/(2*b) - B*a*c*g*n*log(c/d + x)/d + B*a*g*n*x*log(a/(c + d*x) + b*x/(c + d*x)) + B*a*g*n*x/2 + B*a*g*x*log(e) + B*b*c**2*g*n*log(c/d + x)/(2*d**2) - B*b*c*g*n*x/(2*d) + B*b*g*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 + B*b*g*x**2*log(e)/2, True))","A",0
5,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g),x)","\frac{\int \frac{A}{a + b x}\, dx + \int \frac{B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A/(a + b*x), x) + Integral(B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x))/g","F",0
6,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(b*g*x+a*g)**2,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
7,-2,0,0,0.000000," ","integrate((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
8,-1,0,0,0.000000," ","integrate((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
9,-1,0,0,0.000000," ","integrate((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
10,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
12,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
13,0,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g \left(\int A^{2} a\, dx + \int A^{2} b x\, dx + \int B^{2} a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}\, dx + \int 2 A B a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\, dx + \int B^{2} b 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 b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\, dx\right)"," ",0,"g*(Integral(A**2*a, x) + Integral(A**2*b*x, x) + Integral(B**2*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2, x) + Integral(2*A*B*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n), x) + Integral(B**2*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2, x) + Integral(2*A*B*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n), x))","F",0
14,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g),x)","\frac{\int \frac{A^{2}}{a + b 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}}{a + b 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)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A**2/(a + b*x), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a + b*x), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a + b*x), x))/g","F",0
15,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**2,x)","\frac{\int \frac{A^{2}}{a^{2} + 2 a b x + b^{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}}{a^{2} + 2 a b x + b^{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)}}{a^{2} + 2 a b x + b^{2} x^{2}}\, dx}{g^{2}}"," ",0,"(Integral(A**2/(a**2 + 2*a*b*x + b**2*x**2), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a**2 + 2*a*b*x + b**2*x**2), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a**2 + 2*a*b*x + b**2*x**2), x))/g**2","F",0
16,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**3,x)","\frac{\int \frac{A^{2}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{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}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{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)}}{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx}{g^{3}}"," ",0,"(Integral(A**2/(a**3 + 3*a**2*b*x + 3*a*b**2*x**2 + b**3*x**3), x) + Integral(B**2*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*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
17,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(b*g*x+a*g)**4,x)","\frac{\int \frac{A^{2}}{a^{4} + 4 a^{3} b x + 6 a^{2} b^{2} x^{2} + 4 a b^{3} x^{3} + b^{4} x^{4}}\, 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^{4} + 4 a^{3} b x + 6 a^{2} b^{2} x^{2} + 4 a b^{3} x^{3} + b^{4} x^{4}}\, 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^{4} + 4 a^{3} b x + 6 a^{2} b^{2} x^{2} + 4 a b^{3} x^{3} + b^{4} x^{4}}\, dx}{g^{4}}"," ",0,"(Integral(A**2/(a**4 + 4*a**3*b*x + 6*a**2*b**2*x**2 + 4*a*b**3*x**3 + b**4*x**4), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(a**4 + 4*a**3*b*x + 6*a**2*b**2*x**2 + 4*a*b**3*x**3 + b**4*x**4), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(a**4 + 4*a**3*b*x + 6*a**2*b**2*x**2 + 4*a*b**3*x**3 + b**4*x**4), x))/g**4","F",0
18,-1,0,0,0.000000," ","integrate((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
19,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","g^{2} \left(\int \frac{a^{2}}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{b^{2} x^{2}}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{2 a b x}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(b**2*x**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(2*a*b*x/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x))","F",0
20,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","g \left(\int \frac{a}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{b x}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx\right)"," ",0,"g*(Integral(a/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(b*x/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x))","F",0
21,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\frac{\int \frac{1}{A a + A b x + B a \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*a + A*b*x + B*a*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)/g","F",0
22,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + 2 B a b x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B b^{2} x^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + 2*B*a*b*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B*b**2*x**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)/g**2","F",0
23,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g^{2} \left(\int \frac{a^{2}}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{b^{2} x^{2}}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{2 a b x}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(b**2*x**2/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(2*a*b*x/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x))","F",0
25,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g \left(\int \frac{a}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{b x}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx\right)"," ",0,"g*(Integral(a/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(b*x/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x))","F",0
26,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate((d*g*x+c*g)**4*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate((d*g*x+c*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,1,779,0,60.458320," ","integrate((d*g*x+c*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} c^{2} g^{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} g^{2} x + A c d g^{2} x^{2} + \frac{A d^{2} g^{2} x^{3}}{3} - \frac{B c^{3} g^{2} n \log{\left(c + d x \right)}}{3 d} + B c^{2} g^{2} n x \log{\left(a \right)} - B c^{2} g^{2} n x \log{\left(c + d x \right)} + \frac{B c^{2} g^{2} n x}{3} + B c^{2} g^{2} x \log{\left(e \right)} + B c d g^{2} n x^{2} \log{\left(a \right)} - B c d g^{2} n x^{2} \log{\left(c + d x \right)} + \frac{B c d g^{2} n x^{2}}{3} + B c d g^{2} x^{2} \log{\left(e \right)} + \frac{B d^{2} g^{2} n x^{3} \log{\left(a \right)}}{3} - \frac{B d^{2} g^{2} n x^{3} \log{\left(c + d x \right)}}{3} + \frac{B d^{2} g^{2} n x^{3}}{9} + \frac{B d^{2} g^{2} x^{3} \log{\left(e \right)}}{3} & \text{for}\: b = 0 \\c^{2} g^{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} g^{2} x + A c d g^{2} x^{2} + \frac{A d^{2} g^{2} x^{3}}{3} + \frac{B a^{3} d^{2} g^{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} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 b^{3}} - \frac{B a^{2} c d g^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b^{2}} - \frac{B a^{2} c d g^{2} n \log{\left(\frac{c}{d} + x \right)}}{b^{2}} - \frac{B a^{2} d^{2} g^{2} n x}{3 b^{2}} + \frac{B a c^{2} g^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a c^{2} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a c d g^{2} n x}{b} + \frac{B a d^{2} g^{2} n x^{2}}{6 b} - \frac{B c^{3} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 d} + B c^{2} g^{2} n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{2 B c^{2} g^{2} n x}{3} + B c^{2} g^{2} x \log{\left(e \right)} + B c d g^{2} n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{B c d g^{2} n x^{2}}{6} + B c d g^{2} x^{2} \log{\left(e \right)} + \frac{B d^{2} g^{2} n x^{3} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3} + \frac{B d^{2} g^{2} x^{3} \log{\left(e \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c**2*g**2*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (A*c**2*g**2*x + A*c*d*g**2*x**2 + A*d**2*g**2*x**3/3 - B*c**3*g**2*n*log(c + d*x)/(3*d) + B*c**2*g**2*n*x*log(a) - B*c**2*g**2*n*x*log(c + d*x) + B*c**2*g**2*n*x/3 + B*c**2*g**2*x*log(e) + B*c*d*g**2*n*x**2*log(a) - B*c*d*g**2*n*x**2*log(c + d*x) + B*c*d*g**2*n*x**2/3 + B*c*d*g**2*x**2*log(e) + B*d**2*g**2*n*x**3*log(a)/3 - B*d**2*g**2*n*x**3*log(c + d*x)/3 + B*d**2*g**2*n*x**3/9 + B*d**2*g**2*x**3*log(e)/3, Eq(b, 0)), (c**2*g**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*g**2*x + A*c*d*g**2*x**2 + A*d**2*g**2*x**3/3 + B*a**3*d**2*g**2*n*log(a/(c + d*x) + b*x/(c + d*x))/(3*b**3) + B*a**3*d**2*g**2*n*log(c/d + x)/(3*b**3) - B*a**2*c*d*g**2*n*log(a/(c + d*x) + b*x/(c + d*x))/b**2 - B*a**2*c*d*g**2*n*log(c/d + x)/b**2 - B*a**2*d**2*g**2*n*x/(3*b**2) + B*a*c**2*g**2*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*c**2*g**2*n*log(c/d + x)/b + B*a*c*d*g**2*n*x/b + B*a*d**2*g**2*n*x**2/(6*b) - B*c**3*g**2*n*log(c/d + x)/(3*d) + B*c**2*g**2*n*x*log(a/(c + d*x) + b*x/(c + d*x)) - 2*B*c**2*g**2*n*x/3 + B*c**2*g**2*x*log(e) + B*c*d*g**2*n*x**2*log(a/(c + d*x) + b*x/(c + d*x)) - B*c*d*g**2*n*x**2/6 + B*c*d*g**2*x**2*log(e) + B*d**2*g**2*n*x**3*log(a/(c + d*x) + b*x/(c + d*x))/3 + B*d**2*g**2*x**3*log(e)/3, True))","A",0
32,1,444,0,40.677822," ","integrate((d*g*x+c*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} c g x \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) & \text{for}\: b = 0 \wedge d = 0 \\A c g x + \frac{A d g x^{2}}{2} - \frac{B c^{2} g n \log{\left(c + d x \right)}}{2 d} + B c g n x \log{\left(a \right)} - B c g n x \log{\left(c + d x \right)} + \frac{B c g n x}{2} + B c g x \log{\left(e \right)} + \frac{B d g n x^{2} \log{\left(a \right)}}{2} - \frac{B d g n x^{2} \log{\left(c + d x \right)}}{2} + \frac{B d g n x^{2}}{4} + \frac{B d g x^{2} \log{\left(e \right)}}{2} & \text{for}\: b = 0 \\c g \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 g x + \frac{A d g x^{2}}{2} - \frac{B a^{2} d g n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2 b^{2}} - \frac{B a^{2} d g n \log{\left(\frac{c}{d} + x \right)}}{2 b^{2}} + \frac{B a c g n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a c g n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a d g n x}{2 b} - \frac{B c^{2} g n \log{\left(\frac{c}{d} + x \right)}}{2 d} + B c g n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} - \frac{B c g n x}{2} + B c g x \log{\left(e \right)} + \frac{B d g n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} + \frac{B d g x^{2} \log{\left(e \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((c*g*x*(A + B*log(e*(a/c)**n)), Eq(b, 0) & Eq(d, 0)), (A*c*g*x + A*d*g*x**2/2 - B*c**2*g*n*log(c + d*x)/(2*d) + B*c*g*n*x*log(a) - B*c*g*n*x*log(c + d*x) + B*c*g*n*x/2 + B*c*g*x*log(e) + B*d*g*n*x**2*log(a)/2 - B*d*g*n*x**2*log(c + d*x)/2 + B*d*g*n*x**2/4 + B*d*g*x**2*log(e)/2, Eq(b, 0)), (c*g*(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*g*x + A*d*g*x**2/2 - B*a**2*d*g*n*log(a/(c + d*x) + b*x/(c + d*x))/(2*b**2) - B*a**2*d*g*n*log(c/d + x)/(2*b**2) + B*a*c*g*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*c*g*n*log(c/d + x)/b + B*a*d*g*n*x/(2*b) - B*c**2*g*n*log(c/d + x)/(2*d) + B*c*g*n*x*log(a/(c + d*x) + b*x/(c + d*x)) - B*c*g*n*x/2 + B*c*g*x*log(e) + B*d*g*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 + B*d*g*x**2*log(e)/2, True))","A",0
33,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*g*x+c*g),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}{g}"," ",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))/g","F",0
34,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*g*x+c*g)**2,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
35,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*g*x+c*g)**3,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
36,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*g*x+c*g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(d*g*x+c*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((d*g*x+c*g)**4*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate((d*g*x+c*g)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,-1,0,0,0.000000," ","integrate((d*g*x+c*g)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,0,0,0,0.000000," ","integrate((d*g*x+c*g)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g \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,"g*(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
42,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*g*x+c*g),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}{g}"," ",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))/g","F",0
43,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*g*x+c*g)**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}{g^{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))/g**2","F",0
44,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*g*x+c*g)**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}{g^{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))/g**3","F",0
45,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*g*x+c*g)**4,x)","\frac{\int \frac{A^{2}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, 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^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, 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^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx}{g^{4}}"," ",0,"(Integral(A**2/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x))/g**4","F",0
46,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(d*g*x+c*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,0,0,0,0.000000," ","integrate((d*g*x+c*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","g^{2} \left(\int \frac{c^{2}}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{d^{2} x^{2}}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{2 c d x}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx\right)"," ",0,"g**2*(Integral(c**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(d**2*x**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(2*c*d*x/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x))","F",0
48,0,0,0,0.000000," ","integrate((d*g*x+c*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","g \left(\int \frac{c}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx + \int \frac{d x}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx\right)"," ",0,"g*(Integral(c/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x) + Integral(d*x/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x))","F",0
49,0,0,0,0.000000," ","integrate(1/(d*g*x+c*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\frac{\int \frac{1}{A c + A d x + B c \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*c + A*d*x + B*c*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)/g","F",0
50,0,0,0,0.000000," ","integrate(1/(d*g*x+c*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\frac{\int \frac{1}{A c^{2} + 2 A c d x + A d^{2} x^{2} + B c^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + 2 B c d x \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B d^{2} x^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*c**2 + 2*A*c*d*x + A*d**2*x**2 + B*c**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + 2*B*c*d*x*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B*d**2*x**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)/g**2","F",0
51,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate((d*g*x+c*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g^{2} \left(\int \frac{c^{2}}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{d^{2} x^{2}}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{2 c d x}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx\right)"," ",0,"g**2*(Integral(c**2/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(d**2*x**2/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(2*c*d*x/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x))","F",0
53,0,0,0,0.000000," ","integrate((d*g*x+c*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","g \left(\int \frac{c}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx + \int \frac{d x}{A^{2} + 2 A B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)} + B^{2} \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}^{2}}\, dx\right)"," ",0,"g*(Integral(c/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x) + Integral(d*x/(A**2 + 2*A*B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n) + B**2*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)**2), x))","F",0
54,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(1/(d*g*x+c*g)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate((g*x+f)**4*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate((g*x+f)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,1,1027,0,70.520026," ","integrate((g*x+f)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) \left(f^{2} x + f g x^{2} + \frac{g^{2} x^{3}}{3}\right) & \text{for}\: b = 0 \wedge d = 0 \\A f^{2} x + A f g x^{2} + \frac{A g^{2} x^{3}}{3} + \frac{B a^{3} g^{2} n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{3 b^{3}} - \frac{B a^{2} f g n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b^{2}} - \frac{B a^{2} g^{2} n x}{3 b^{2}} + \frac{B a f^{2} n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b} + \frac{B a f g n x}{b} + \frac{B a g^{2} n x^{2}}{6 b} + B f^{2} n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - B f^{2} n x + B f^{2} x \log{\left(e \right)} + B f g n x^{2} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - \frac{B f g n x^{2}}{2} + B f g x^{2} \log{\left(e \right)} + \frac{B g^{2} n x^{3} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{3} - \frac{B g^{2} n x^{3}}{9} + \frac{B g^{2} x^{3} \log{\left(e \right)}}{3} & \text{for}\: d = 0 \\A f^{2} x + A f g x^{2} + \frac{A g^{2} x^{3}}{3} - \frac{B c^{3} g^{2} n \log{\left(c + d x \right)}}{3 d^{3}} + \frac{B c^{2} f g n \log{\left(c + d x \right)}}{d^{2}} + \frac{B c^{2} g^{2} n x}{3 d^{2}} - \frac{B c f^{2} n \log{\left(c + d x \right)}}{d} - \frac{B c f g n x}{d} - \frac{B c g^{2} n x^{2}}{6 d} + B f^{2} n x \log{\left(a \right)} - B f^{2} n x \log{\left(c + d x \right)} + B f^{2} n x + B f^{2} x \log{\left(e \right)} + B f g n x^{2} \log{\left(a \right)} - B f g n x^{2} \log{\left(c + d x \right)} + \frac{B f g n x^{2}}{2} + B f g x^{2} \log{\left(e \right)} + \frac{B g^{2} n x^{3} \log{\left(a \right)}}{3} - \frac{B g^{2} n x^{3} \log{\left(c + d x \right)}}{3} + \frac{B g^{2} n x^{3}}{9} + \frac{B g^{2} x^{3} \log{\left(e \right)}}{3} & \text{for}\: b = 0 \\A f^{2} x + A f g x^{2} + \frac{A g^{2} x^{3}}{3} + \frac{B a^{3} g^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3 b^{3}} + \frac{B a^{3} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 b^{3}} - \frac{B a^{2} f g n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b^{2}} - \frac{B a^{2} f g n \log{\left(\frac{c}{d} + x \right)}}{b^{2}} - \frac{B a^{2} g^{2} n x}{3 b^{2}} + \frac{B a f^{2} n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a f^{2} n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a f g n x}{b} + \frac{B a g^{2} n x^{2}}{6 b} - \frac{B c^{3} g^{2} n \log{\left(\frac{c}{d} + x \right)}}{3 d^{3}} + \frac{B c^{2} f g n \log{\left(\frac{c}{d} + x \right)}}{d^{2}} + \frac{B c^{2} g^{2} n x}{3 d^{2}} - \frac{B c f^{2} n \log{\left(\frac{c}{d} + x \right)}}{d} - \frac{B c f g n x}{d} - \frac{B c g^{2} n x^{2}}{6 d} + B f^{2} n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + B f^{2} x \log{\left(e \right)} + B f g n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + B f g x^{2} \log{\left(e \right)} + \frac{B g^{2} n x^{3} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{3} + \frac{B g^{2} x^{3} \log{\left(e \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((A + B*log(e*(a/c)**n))*(f**2*x + f*g*x**2 + g**2*x**3/3), Eq(b, 0) & Eq(d, 0)), (A*f**2*x + A*f*g*x**2 + A*g**2*x**3/3 + B*a**3*g**2*n*log(a/c + b*x/c)/(3*b**3) - B*a**2*f*g*n*log(a/c + b*x/c)/b**2 - B*a**2*g**2*n*x/(3*b**2) + B*a*f**2*n*log(a/c + b*x/c)/b + B*a*f*g*n*x/b + B*a*g**2*n*x**2/(6*b) + B*f**2*n*x*log(a/c + b*x/c) - B*f**2*n*x + B*f**2*x*log(e) + B*f*g*n*x**2*log(a/c + b*x/c) - B*f*g*n*x**2/2 + B*f*g*x**2*log(e) + B*g**2*n*x**3*log(a/c + b*x/c)/3 - B*g**2*n*x**3/9 + B*g**2*x**3*log(e)/3, Eq(d, 0)), (A*f**2*x + A*f*g*x**2 + A*g**2*x**3/3 - B*c**3*g**2*n*log(c + d*x)/(3*d**3) + B*c**2*f*g*n*log(c + d*x)/d**2 + B*c**2*g**2*n*x/(3*d**2) - B*c*f**2*n*log(c + d*x)/d - B*c*f*g*n*x/d - B*c*g**2*n*x**2/(6*d) + B*f**2*n*x*log(a) - B*f**2*n*x*log(c + d*x) + B*f**2*n*x + B*f**2*x*log(e) + B*f*g*n*x**2*log(a) - B*f*g*n*x**2*log(c + d*x) + B*f*g*n*x**2/2 + B*f*g*x**2*log(e) + B*g**2*n*x**3*log(a)/3 - B*g**2*n*x**3*log(c + d*x)/3 + B*g**2*n*x**3/9 + B*g**2*x**3*log(e)/3, Eq(b, 0)), (A*f**2*x + A*f*g*x**2 + A*g**2*x**3/3 + B*a**3*g**2*n*log(a/(c + d*x) + b*x/(c + d*x))/(3*b**3) + B*a**3*g**2*n*log(c/d + x)/(3*b**3) - B*a**2*f*g*n*log(a/(c + d*x) + b*x/(c + d*x))/b**2 - B*a**2*f*g*n*log(c/d + x)/b**2 - B*a**2*g**2*n*x/(3*b**2) + B*a*f**2*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*f**2*n*log(c/d + x)/b + B*a*f*g*n*x/b + B*a*g**2*n*x**2/(6*b) - B*c**3*g**2*n*log(c/d + x)/(3*d**3) + B*c**2*f*g*n*log(c/d + x)/d**2 + B*c**2*g**2*n*x/(3*d**2) - B*c*f**2*n*log(c/d + x)/d - B*c*f*g*n*x/d - B*c*g**2*n*x**2/(6*d) + B*f**2*n*x*log(a/(c + d*x) + b*x/(c + d*x)) + B*f**2*x*log(e) + B*f*g*n*x**2*log(a/(c + d*x) + b*x/(c + d*x)) + B*f*g*x**2*log(e) + B*g**2*n*x**3*log(a/(c + d*x) + b*x/(c + d*x))/3 + B*g**2*x**3*log(e)/3, True))","A",0
60,1,551,0,44.182026," ","integrate((g*x+f)*(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\begin{cases} \left(A + B \log{\left(e \left(\frac{a}{c}\right)^{n} \right)}\right) \left(f x + \frac{g x^{2}}{2}\right) & \text{for}\: b = 0 \wedge d = 0 \\A f x + \frac{A g x^{2}}{2} + \frac{B c^{2} g n \log{\left(c + d x \right)}}{2 d^{2}} - \frac{B c f n \log{\left(c + d x \right)}}{d} - \frac{B c g n x}{2 d} + B f n x \log{\left(a \right)} - B f n x \log{\left(c + d x \right)} + B f n x + B f x \log{\left(e \right)} + \frac{B g n x^{2} \log{\left(a \right)}}{2} - \frac{B g n x^{2} \log{\left(c + d x \right)}}{2} + \frac{B g n x^{2}}{4} + \frac{B g x^{2} \log{\left(e \right)}}{2} & \text{for}\: b = 0 \\A f x + \frac{A g x^{2}}{2} - \frac{B a^{2} g n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{2 b^{2}} + \frac{B a f n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b} + \frac{B a g n x}{2 b} + B f n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - B f n x + B f x \log{\left(e \right)} + \frac{B g n x^{2} \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{2} - \frac{B g n x^{2}}{4} + \frac{B g x^{2} \log{\left(e \right)}}{2} & \text{for}\: d = 0 \\A f x + \frac{A g x^{2}}{2} - \frac{B a^{2} g n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2 b^{2}} - \frac{B a^{2} g n \log{\left(\frac{c}{d} + x \right)}}{2 b^{2}} + \frac{B a f n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} + \frac{B a f n \log{\left(\frac{c}{d} + x \right)}}{b} + \frac{B a g n x}{2 b} + \frac{B c^{2} g n \log{\left(\frac{c}{d} + x \right)}}{2 d^{2}} - \frac{B c f n \log{\left(\frac{c}{d} + x \right)}}{d} - \frac{B c g n x}{2 d} + B f n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + B f x \log{\left(e \right)} + \frac{B g n x^{2} \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{2} + \frac{B g x^{2} \log{\left(e \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((A + B*log(e*(a/c)**n))*(f*x + g*x**2/2), Eq(b, 0) & Eq(d, 0)), (A*f*x + A*g*x**2/2 + B*c**2*g*n*log(c + d*x)/(2*d**2) - B*c*f*n*log(c + d*x)/d - B*c*g*n*x/(2*d) + B*f*n*x*log(a) - B*f*n*x*log(c + d*x) + B*f*n*x + B*f*x*log(e) + B*g*n*x**2*log(a)/2 - B*g*n*x**2*log(c + d*x)/2 + B*g*n*x**2/4 + B*g*x**2*log(e)/2, Eq(b, 0)), (A*f*x + A*g*x**2/2 - B*a**2*g*n*log(a/c + b*x/c)/(2*b**2) + B*a*f*n*log(a/c + b*x/c)/b + B*a*g*n*x/(2*b) + B*f*n*x*log(a/c + b*x/c) - B*f*n*x + B*f*x*log(e) + B*g*n*x**2*log(a/c + b*x/c)/2 - B*g*n*x**2/4 + B*g*x**2*log(e)/2, Eq(d, 0)), (A*f*x + A*g*x**2/2 - B*a**2*g*n*log(a/(c + d*x) + b*x/(c + d*x))/(2*b**2) - B*a**2*g*n*log(c/d + x)/(2*b**2) + B*a*f*n*log(a/(c + d*x) + b*x/(c + d*x))/b + B*a*f*n*log(c/d + x)/b + B*a*g*n*x/(2*b) + B*c**2*g*n*log(c/d + x)/(2*d**2) - B*c*f*n*log(c/d + x)/d - B*c*g*n*x/(2*d) + B*f*n*x*log(a/(c + d*x) + b*x/(c + d*x)) + B*f*x*log(e) + B*g*n*x**2*log(a/(c + d*x) + b*x/(c + d*x))/2 + B*g*x**2*log(e)/2, True))","A",0
61,1,158,0,5.414500," ","integrate(A+B*ln(e*((b*x+a)/(d*x+c))**n),x)","A x + B \left(\begin{cases} x \log{\left(e \left(\frac{a}{c}\right)^{n} \right)} & \text{for}\: b = 0 \wedge d = 0 \\- \frac{c n \log{\left(c + d x \right)}}{d} + n x \log{\left(a \right)} - n x \log{\left(c + d x \right)} + n x + x \log{\left(e \right)} & \text{for}\: b = 0 \\\frac{a n \log{\left(\frac{a}{c} + \frac{b x}{c} \right)}}{b} + n x \log{\left(\frac{a}{c} + \frac{b x}{c} \right)} - n x + x \log{\left(e \right)} & \text{for}\: d = 0 \\\frac{a n \log{\left(c + d x \right)}}{b} + \frac{a n \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)}}{b} - \frac{c n \log{\left(c + d x \right)}}{d} + n x \log{\left(\frac{a}{c + d x} + \frac{b x}{c + d x} \right)} + x \log{\left(e \right)} & \text{otherwise} \end{cases}\right)"," ",0,"A*x + B*Piecewise((x*log(e*(a/c)**n), Eq(b, 0) & Eq(d, 0)), (-c*n*log(c + d*x)/d + n*x*log(a) - n*x*log(c + d*x) + n*x + x*log(e), Eq(b, 0)), (a*n*log(a/c + b*x/c)/b + n*x*log(a/c + b*x/c) - n*x + x*log(e), Eq(d, 0)), (a*n*log(c + d*x)/b + a*n*log(a/(c + d*x) + b*x/(c + d*x))/b - c*n*log(c + d*x)/d + n*x*log(a/(c + d*x) + b*x/(c + d*x)) + x*log(e), True))","A",0
62,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(g*x+f),x)","\int \frac{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}{f + g x}\, dx"," ",0,"Integral((A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))/(f + g*x), x)","F",0
63,-2,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(g*x+f)**2,x)","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError","F(-2)",0
64,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
65,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
66,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,-1,0,0,0.000000," ","integrate((g*x+f)**3*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((g*x+f)**2*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate((g*x+f)*(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\int \left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right)^{2} \left(f + g x\right)\, dx"," ",0,"Integral((A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))**2*(f + g*x), x)","F",0
70,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\int \left(A + B \log{\left(e \left(\frac{a + b x}{c + d x}\right)^{n} \right)}\right)^{2}\, dx"," ",0,"Integral((A + B*log(e*((a + b*x)/(c + d*x))**n))**2, x)","F",0
71,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(g*x+f),x)","\int \frac{\left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right)^{2}}{f + g x}\, dx"," ",0,"Integral((A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))**2/(f + g*x), x)","F",0
72,0,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(g*x+f)**2,x)","\int \frac{\left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right)^{2}}{\left(f + g x\right)^{2}}\, dx"," ",0,"Integral((A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))**2/(f + g*x)**2, x)","F",0
73,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,-1,0,0,0.000000," ","integrate((A+B*ln(e*((b*x+a)/(d*x+c))**n))**2/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\int \frac{\left(f + g x\right)^{2}}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx"," ",0,"Integral((f + g*x)**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)","F",0
77,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\int \frac{f + g x}{A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}}\, dx"," ",0,"Integral((f + g*x)/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n)), x)","F",0
78,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\int \frac{1}{A + B \log{\left(e \left(\frac{a + b x}{c + d x}\right)^{n} \right)}}\, dx"," ",0,"Integral(1/(A + B*log(e*((a + b*x)/(c + d*x))**n)), x)","F",0
79,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\int \frac{1}{\left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right) \left(f + g x\right)}\, dx"," ",0,"Integral(1/((A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))*(f + g*x)), x)","F",0
80,-1,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\int \frac{\left(f + g x\right)^{2}}{\left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right)^{2}}\, dx"," ",0,"Integral((f + g*x)**2/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))**2, x)","F",0
83,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\int \frac{f + g x}{\left(A + B \log{\left(e \left(\frac{a}{c + d x} + \frac{b x}{c + d x}\right)^{n} \right)}\right)^{2}}\, dx"," ",0,"Integral((f + g*x)/(A + B*log(e*(a/(c + d*x) + b*x/(c + d*x))**n))**2, x)","F",0
84,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\int \frac{1}{\left(A + B \log{\left(e \left(\frac{a + b x}{c + d x}\right)^{n} \right)}\right)^{2}}\, dx"," ",0,"Integral((A + B*log(e*((a + b*x)/(c + d*x))**n))**(-2), x)","F",0
85,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,-1,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
87,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*((b*x+a)/(d*x+c))**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
88,1,969,0,6.399821," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{4} g^{4} x^{5}}{5} + \frac{B a^{5} g^{4} \log{\left(x + \frac{\frac{B a^{6} d^{5} g^{4}}{b} + 5 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c^{2} d^{3} g^{4} + 10 B a^{3} b^{2} c^{3} d^{2} g^{4} - 5 B a^{2} b^{3} c^{4} d g^{4} + B a b^{4} c^{5} g^{4}}{B a^{5} d^{5} g^{4} + 5 B a^{4} b c d^{4} g^{4} - 10 B a^{3} b^{2} c^{2} d^{3} g^{4} + 10 B a^{2} b^{3} c^{3} d^{2} g^{4} - 5 B a b^{4} c^{4} d g^{4} + B b^{5} c^{5} g^{4}} \right)}}{5 b} - \frac{B c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) \log{\left(x + \frac{6 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c^{2} d^{3} g^{4} + 10 B a^{3} b^{2} c^{3} d^{2} g^{4} - 5 B a^{2} b^{3} c^{4} d g^{4} + B a b^{4} c^{5} g^{4} - B a c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) + \frac{B b c^{2} g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right)}{d}}{B a^{5} d^{5} g^{4} + 5 B a^{4} b c d^{4} g^{4} - 10 B a^{3} b^{2} c^{2} d^{3} g^{4} + 10 B a^{2} b^{3} c^{3} d^{2} g^{4} - 5 B a b^{4} c^{4} d g^{4} + B b^{5} c^{5} g^{4}} \right)}}{5 d^{5}} + x^{4} \left(A a b^{3} g^{4} + \frac{B a b^{3} g^{4}}{20} - \frac{B b^{4} c g^{4}}{20 d}\right) + x^{3} \left(2 A a^{2} b^{2} g^{4} + \frac{4 B a^{2} b^{2} g^{4}}{15} - \frac{B a b^{3} c g^{4}}{3 d} + \frac{B b^{4} c^{2} g^{4}}{15 d^{2}}\right) + x^{2} \left(2 A a^{3} b g^{4} + \frac{3 B a^{3} b g^{4}}{5} - \frac{B a^{2} b^{2} c g^{4}}{d} + \frac{B a b^{3} c^{2} g^{4}}{2 d^{2}} - \frac{B b^{4} c^{3} g^{4}}{10 d^{3}}\right) + x \left(A a^{4} g^{4} + \frac{4 B a^{4} g^{4}}{5} - \frac{2 B a^{3} b c g^{4}}{d} + \frac{2 B a^{2} b^{2} c^{2} g^{4}}{d^{2}} - \frac{B a b^{3} c^{3} g^{4}}{d^{3}} + \frac{B b^{4} c^{4} g^{4}}{5 d^{4}}\right) + \left(B a^{4} g^{4} x + 2 B a^{3} b g^{4} x^{2} + 2 B a^{2} b^{2} g^{4} x^{3} + B a b^{3} g^{4} x^{4} + \frac{B b^{4} g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**4*g**4*x**5/5 + B*a**5*g**4*log(x + (B*a**6*d**5*g**4/b + 5*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c**2*d**3*g**4 + 10*B*a**3*b**2*c**3*d**2*g**4 - 5*B*a**2*b**3*c**4*d*g**4 + B*a*b**4*c**5*g**4)/(B*a**5*d**5*g**4 + 5*B*a**4*b*c*d**4*g**4 - 10*B*a**3*b**2*c**2*d**3*g**4 + 10*B*a**2*b**3*c**3*d**2*g**4 - 5*B*a*b**4*c**4*d*g**4 + B*b**5*c**5*g**4))/(5*b) - B*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)*log(x + (6*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c**2*d**3*g**4 + 10*B*a**3*b**2*c**3*d**2*g**4 - 5*B*a**2*b**3*c**4*d*g**4 + B*a*b**4*c**5*g**4 - B*a*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4) + B*b*c**2*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)/d)/(B*a**5*d**5*g**4 + 5*B*a**4*b*c*d**4*g**4 - 10*B*a**3*b**2*c**2*d**3*g**4 + 10*B*a**2*b**3*c**3*d**2*g**4 - 5*B*a*b**4*c**4*d*g**4 + B*b**5*c**5*g**4))/(5*d**5) + x**4*(A*a*b**3*g**4 + B*a*b**3*g**4/20 - B*b**4*c*g**4/(20*d)) + x**3*(2*A*a**2*b**2*g**4 + 4*B*a**2*b**2*g**4/15 - B*a*b**3*c*g**4/(3*d) + B*b**4*c**2*g**4/(15*d**2)) + x**2*(2*A*a**3*b*g**4 + 3*B*a**3*b*g**4/5 - B*a**2*b**2*c*g**4/d + B*a*b**3*c**2*g**4/(2*d**2) - B*b**4*c**3*g**4/(10*d**3)) + x*(A*a**4*g**4 + 4*B*a**4*g**4/5 - 2*B*a**3*b*c*g**4/d + 2*B*a**2*b**2*c**2*g**4/d**2 - B*a*b**3*c**3*g**4/d**3 + B*b**4*c**4*g**4/(5*d**4)) + (B*a**4*g**4*x + 2*B*a**3*b*g**4*x**2 + 2*B*a**2*b**2*g**4*x**3 + B*a*b**3*g**4*x**4 + B*b**4*g**4*x**5/5)*log(e*(a + b*x)/(c + d*x))","B",0
89,1,706,0,4.298377," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{3} g^{3} x^{4}}{4} + \frac{B a^{4} g^{3} \log{\left(x + \frac{\frac{B a^{5} d^{4} g^{3}}{b} + 4 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{4 b} - \frac{B c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{5 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3} - B a c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right)}{d}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{4 d^{4}} + x^{3} \left(A a b^{2} g^{3} + \frac{B a b^{2} g^{3}}{12} - \frac{B b^{3} c g^{3}}{12 d}\right) + x^{2} \left(\frac{3 A a^{2} b g^{3}}{2} + \frac{3 B a^{2} b g^{3}}{8} - \frac{B a b^{2} c g^{3}}{2 d} + \frac{B b^{3} c^{2} g^{3}}{8 d^{2}}\right) + x \left(A a^{3} g^{3} + \frac{3 B a^{3} g^{3}}{4} - \frac{3 B a^{2} b c g^{3}}{2 d} + \frac{B a b^{2} c^{2} g^{3}}{d^{2}} - \frac{B b^{3} c^{3} g^{3}}{4 d^{3}}\right) + \left(B a^{3} g^{3} x + \frac{3 B a^{2} b g^{3} x^{2}}{2} + B a b^{2} g^{3} x^{3} + \frac{B b^{3} g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**3*g**3*x**4/4 + B*a**4*g**3*log(x + (B*a**5*d**4*g**3/b + 4*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(4*b) - B*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)*log(x + (5*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3 - B*a*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2) + B*b*c**2*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)/d)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(4*d**4) + x**3*(A*a*b**2*g**3 + B*a*b**2*g**3/12 - B*b**3*c*g**3/(12*d)) + x**2*(3*A*a**2*b*g**3/2 + 3*B*a**2*b*g**3/8 - B*a*b**2*c*g**3/(2*d) + B*b**3*c**2*g**3/(8*d**2)) + x*(A*a**3*g**3 + 3*B*a**3*g**3/4 - 3*B*a**2*b*c*g**3/(2*d) + B*a*b**2*c**2*g**3/d**2 - B*b**3*c**3*g**3/(4*d**3)) + (B*a**3*g**3*x + 3*B*a**2*b*g**3*x**2/2 + B*a*b**2*g**3*x**3 + B*b**3*g**3*x**4/4)*log(e*(a + b*x)/(c + d*x))","B",0
90,1,491,0,2.919896," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b^{2} g^{2} x^{3}}{3} + \frac{B a^{3} g^{2} \log{\left(x + \frac{\frac{B a^{4} d^{3} g^{2}}{b} + 3 B a^{3} c d^{2} g^{2} - 3 B a^{2} b c^{2} d g^{2} + B a b^{2} c^{3} g^{2}}{B a^{3} d^{3} g^{2} + 3 B a^{2} b c d^{2} g^{2} - 3 B a b^{2} c^{2} d g^{2} + B b^{3} c^{3} g^{2}} \right)}}{3 b} - \frac{B c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{4 B a^{3} c d^{2} g^{2} - 3 B a^{2} b c^{2} d g^{2} + B a b^{2} c^{3} g^{2} - B a c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{d}}{B a^{3} d^{3} g^{2} + 3 B a^{2} b c d^{2} g^{2} - 3 B a b^{2} c^{2} d g^{2} + B b^{3} c^{3} g^{2}} \right)}}{3 d^{3}} + x^{2} \left(A a b g^{2} + \frac{B a b g^{2}}{6} - \frac{B b^{2} c g^{2}}{6 d}\right) + x \left(A a^{2} g^{2} + \frac{2 B a^{2} g^{2}}{3} - \frac{B a b c g^{2}}{d} + \frac{B b^{2} c^{2} g^{2}}{3 d^{2}}\right) + \left(B a^{2} g^{2} x + B a b g^{2} x^{2} + \frac{B b^{2} g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b**2*g**2*x**3/3 + B*a**3*g**2*log(x + (B*a**4*d**3*g**2/b + 3*B*a**3*c*d**2*g**2 - 3*B*a**2*b*c**2*d*g**2 + B*a*b**2*c**3*g**2)/(B*a**3*d**3*g**2 + 3*B*a**2*b*c*d**2*g**2 - 3*B*a*b**2*c**2*d*g**2 + B*b**3*c**3*g**2))/(3*b) - B*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (4*B*a**3*c*d**2*g**2 - 3*B*a**2*b*c**2*d*g**2 + B*a*b**2*c**3*g**2 - B*a*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2) + B*b*c**2*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/d)/(B*a**3*d**3*g**2 + 3*B*a**2*b*c*d**2*g**2 - 3*B*a*b**2*c**2*d*g**2 + B*b**3*c**3*g**2))/(3*d**3) + x**2*(A*a*b*g**2 + B*a*b*g**2/6 - B*b**2*c*g**2/(6*d)) + x*(A*a**2*g**2 + 2*B*a**2*g**2/3 - B*a*b*c*g**2/d + B*b**2*c**2*g**2/(3*d**2)) + (B*a**2*g**2*x + B*a*b*g**2*x**2 + B*b**2*g**2*x**3/3)*log(e*(a + b*x)/(c + d*x))","B",0
91,1,253,0,1.951101," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A b g x^{2}}{2} + \frac{B a^{2} g \log{\left(x + \frac{\frac{B a^{3} d^{2} g}{b} + 2 B a^{2} c d g - B a b c^{2} g}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{2 b} - \frac{B c g \left(2 a d - b c\right) \log{\left(x + \frac{3 B a^{2} c d g - B a b c^{2} g - B a c g \left(2 a d - b c\right) + \frac{B b c^{2} g \left(2 a d - b c\right)}{d}}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{2 d^{2}} + x \left(A a g + \frac{B a g}{2} - \frac{B b c g}{2 d}\right) + \left(B a g x + \frac{B b g x^{2}}{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*b*g*x**2/2 + B*a**2*g*log(x + (B*a**3*d**2*g/b + 2*B*a**2*c*d*g - B*a*b*c**2*g)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/(2*b) - B*c*g*(2*a*d - b*c)*log(x + (3*B*a**2*c*d*g - B*a*b*c**2*g - B*a*c*g*(2*a*d - b*c) + B*b*c**2*g*(2*a*d - b*c)/d)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/(2*d**2) + x*(A*a*g + B*a*g/2 - B*b*c*g/(2*d)) + (B*a*g*x + B*b*g*x**2/2)*log(e*(a + b*x)/(c + d*x))","B",0
92,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g),x)","\frac{\int \frac{A}{a + b x}\, dx + \int \frac{B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A/(a + b*x), x) + Integral(B*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
93,1,233,0,1.579123," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**2,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{a b g^{2} + b^{2} g^{2} x} - \frac{B d \log{\left(x + \frac{- \frac{B a^{2} d^{3}}{a d - b c} + \frac{2 B a b c d^{2}}{a d - b c} + B a d^{2} - \frac{B b^{2} c^{2} d}{a d - b c} + B b c d}{2 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{B d \log{\left(x + \frac{\frac{B a^{2} d^{3}}{a d - b c} - \frac{2 B a b c d^{2}}{a d - b c} + B a d^{2} + \frac{B b^{2} c^{2} d}{a d - b c} + B b c d}{2 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{- A - B}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-B*log(e*(a + b*x)/(c + d*x))/(a*b*g**2 + b**2*g**2*x) - B*d*log(x + (-B*a**2*d**3/(a*d - b*c) + 2*B*a*b*c*d**2/(a*d - b*c) + B*a*d**2 - B*b**2*c**2*d/(a*d - b*c) + B*b*c*d)/(2*B*b*d**2))/(b*g**2*(a*d - b*c)) + B*d*log(x + (B*a**2*d**3/(a*d - b*c) - 2*B*a*b*c*d**2/(a*d - b*c) + B*a*d**2 + B*b**2*c**2*d/(a*d - b*c) + B*b*c*d)/(2*B*b*d**2))/(b*g**2*(a*d - b*c)) + (-A - B)/(a*b*g**2 + b**2*g**2*x)","B",0
94,1,422,0,2.709599," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**3,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{2 a^{2} b g^{3} + 4 a b^{2} g^{3} x + 2 b^{3} g^{3} x^{2}} - \frac{B d^{2} \log{\left(x + \frac{- \frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} + \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{B d^{2} \log{\left(x + \frac{\frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} - \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{- 2 A a d + 2 A b c - 3 B a d + B b c - 2 B b d x}{4 a^{3} b d g^{3} - 4 a^{2} b^{2} c g^{3} + x^{2} \left(4 a b^{3} d g^{3} - 4 b^{4} c g^{3}\right) + x \left(8 a^{2} b^{2} d g^{3} - 8 a b^{3} c g^{3}\right)}"," ",0,"-B*log(e*(a + b*x)/(c + d*x))/(2*a**2*b*g**3 + 4*a*b**2*g**3*x + 2*b**3*g**3*x**2) - B*d**2*log(x + (-B*a**3*d**5/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 + B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + B*d**2*log(x + (B*a**3*d**5/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 - B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + (-2*A*a*d + 2*A*b*c - 3*B*a*d + B*b*c - 2*B*b*d*x)/(4*a**3*b*d*g**3 - 4*a**2*b**2*c*g**3 + x**2*(4*a*b**3*d*g**3 - 4*b**4*c*g**3) + x*(8*a**2*b**2*d*g**3 - 8*a*b**3*c*g**3))","B",0
95,1,656,0,4.245955," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**4,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{3 a^{3} b g^{4} + 9 a^{2} b^{2} g^{4} x + 9 a b^{3} g^{4} x^{2} + 3 b^{4} g^{4} x^{3}} - \frac{B d^{3} \log{\left(x + \frac{- \frac{B a^{4} d^{7}}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + B a d^{4} - \frac{B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + B b c d^{3}}{2 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{B d^{3} \log{\left(x + \frac{\frac{B a^{4} d^{7}}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + B a d^{4} + \frac{B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + B b c d^{3}}{2 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{- 6 A a^{2} d^{2} + 12 A a b c d - 6 A b^{2} c^{2} - 11 B a^{2} d^{2} + 7 B a b c d - 2 B b^{2} c^{2} - 6 B b^{2} d^{2} x^{2} + x \left(- 15 B a b d^{2} + 3 B b^{2} c d\right)}{18 a^{5} b d^{2} g^{4} - 36 a^{4} b^{2} c d g^{4} + 18 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(18 a^{2} b^{4} d^{2} g^{4} - 36 a b^{5} c d g^{4} + 18 b^{6} c^{2} g^{4}\right) + x^{2} \left(54 a^{3} b^{3} d^{2} g^{4} - 108 a^{2} b^{4} c d g^{4} + 54 a b^{5} c^{2} g^{4}\right) + x \left(54 a^{4} b^{2} d^{2} g^{4} - 108 a^{3} b^{3} c d g^{4} + 54 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-B*log(e*(a + b*x)/(c + d*x))/(3*a**3*b*g**4 + 9*a**2*b**2*g**4*x + 9*a*b**3*g**4*x**2 + 3*b**4*g**4*x**3) - B*d**3*log(x + (-B*a**4*d**7/(a*d - b*c)**3 + 4*B*a**3*b*c*d**6/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + B*a*d**4 - B*b**4*c**4*d**3/(a*d - b*c)**3 + B*b*c*d**3)/(2*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + B*d**3*log(x + (B*a**4*d**7/(a*d - b*c)**3 - 4*B*a**3*b*c*d**6/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + B*a*d**4 + B*b**4*c**4*d**3/(a*d - b*c)**3 + B*b*c*d**3)/(2*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + (-6*A*a**2*d**2 + 12*A*a*b*c*d - 6*A*b**2*c**2 - 11*B*a**2*d**2 + 7*B*a*b*c*d - 2*B*b**2*c**2 - 6*B*b**2*d**2*x**2 + x*(-15*B*a*b*d**2 + 3*B*b**2*c*d))/(18*a**5*b*d**2*g**4 - 36*a**4*b**2*c*d*g**4 + 18*a**3*b**3*c**2*g**4 + x**3*(18*a**2*b**4*d**2*g**4 - 36*a*b**5*c*d*g**4 + 18*b**6*c**2*g**4) + x**2*(54*a**3*b**3*d**2*g**4 - 108*a**2*b**4*c*d*g**4 + 54*a*b**5*c**2*g**4) + x*(54*a**4*b**2*d**2*g**4 - 108*a**3*b**3*c*d*g**4 + 54*a**2*b**4*c**2*g**4))","B",0
96,1,944,0,5.925750," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(b*g*x+a*g)**5,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{4 a^{4} b g^{5} + 16 a^{3} b^{2} g^{5} x + 24 a^{2} b^{3} g^{5} x^{2} + 16 a b^{4} g^{5} x^{3} + 4 b^{5} g^{5} x^{4}} - \frac{B d^{4} \log{\left(x + \frac{- \frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} + \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} - \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} + \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{4 b g^{5} \left(a d - b c\right)^{4}} + \frac{B d^{4} \log{\left(x + \frac{\frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} - \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} + \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} - \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{4 b g^{5} \left(a d - b c\right)^{4}} + \frac{- 12 A a^{3} d^{3} + 36 A a^{2} b c d^{2} - 36 A a b^{2} c^{2} d + 12 A b^{3} c^{3} - 25 B a^{3} d^{3} + 23 B a^{2} b c d^{2} - 13 B a b^{2} c^{2} d + 3 B b^{3} c^{3} - 12 B b^{3} d^{3} x^{3} + x^{2} \left(- 42 B a b^{2} d^{3} + 6 B b^{3} c d^{2}\right) + x \left(- 52 B a^{2} b d^{3} + 20 B a b^{2} c d^{2} - 4 B b^{3} c^{2} d\right)}{48 a^{7} b d^{3} g^{5} - 144 a^{6} b^{2} c d^{2} g^{5} + 144 a^{5} b^{3} c^{2} d g^{5} - 48 a^{4} b^{4} c^{3} g^{5} + x^{4} \left(48 a^{3} b^{5} d^{3} g^{5} - 144 a^{2} b^{6} c d^{2} g^{5} + 144 a b^{7} c^{2} d g^{5} - 48 b^{8} c^{3} g^{5}\right) + x^{3} \left(192 a^{4} b^{4} d^{3} g^{5} - 576 a^{3} b^{5} c d^{2} g^{5} + 576 a^{2} b^{6} c^{2} d g^{5} - 192 a b^{7} c^{3} g^{5}\right) + x^{2} \left(288 a^{5} b^{3} d^{3} g^{5} - 864 a^{4} b^{4} c d^{2} g^{5} + 864 a^{3} b^{5} c^{2} d g^{5} - 288 a^{2} b^{6} c^{3} g^{5}\right) + x \left(192 a^{6} b^{2} d^{3} g^{5} - 576 a^{5} b^{3} c d^{2} g^{5} + 576 a^{4} b^{4} c^{2} d g^{5} - 192 a^{3} b^{5} c^{3} g^{5}\right)}"," ",0,"-B*log(e*(a + b*x)/(c + d*x))/(4*a**4*b*g**5 + 16*a**3*b**2*g**5*x + 24*a**2*b**3*g**5*x**2 + 16*a*b**4*g**5*x**3 + 4*b**5*g**5*x**4) - B*d**4*log(x + (-B*a**5*d**9/(a*d - b*c)**4 + 5*B*a**4*b*c*d**8/(a*d - b*c)**4 - 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 + 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 - 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 + B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(4*b*g**5*(a*d - b*c)**4) + B*d**4*log(x + (B*a**5*d**9/(a*d - b*c)**4 - 5*B*a**4*b*c*d**8/(a*d - b*c)**4 + 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 - 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 + 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 - B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(4*b*g**5*(a*d - b*c)**4) + (-12*A*a**3*d**3 + 36*A*a**2*b*c*d**2 - 36*A*a*b**2*c**2*d + 12*A*b**3*c**3 - 25*B*a**3*d**3 + 23*B*a**2*b*c*d**2 - 13*B*a*b**2*c**2*d + 3*B*b**3*c**3 - 12*B*b**3*d**3*x**3 + x**2*(-42*B*a*b**2*d**3 + 6*B*b**3*c*d**2) + x*(-52*B*a**2*b*d**3 + 20*B*a*b**2*c*d**2 - 4*B*b**3*c**2*d))/(48*a**7*b*d**3*g**5 - 144*a**6*b**2*c*d**2*g**5 + 144*a**5*b**3*c**2*d*g**5 - 48*a**4*b**4*c**3*g**5 + x**4*(48*a**3*b**5*d**3*g**5 - 144*a**2*b**6*c*d**2*g**5 + 144*a*b**7*c**2*d*g**5 - 48*b**8*c**3*g**5) + x**3*(192*a**4*b**4*d**3*g**5 - 576*a**3*b**5*c*d**2*g**5 + 576*a**2*b**6*c**2*d*g**5 - 192*a*b**7*c**3*g**5) + x**2*(288*a**5*b**3*d**3*g**5 - 864*a**4*b**4*c*d**2*g**5 + 864*a**3*b**5*c**2*d*g**5 - 288*a**2*b**6*c**3*g**5) + x*(192*a**6*b**2*d**3*g**5 - 576*a**5*b**3*c*d**2*g**5 + 576*a**4*b**4*c**2*d*g**5 - 192*a**3*b**5*c**3*g**5))","B",0
97,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
100,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g),x)","\frac{\int \frac{A^{2}}{a + b x}\, dx + \int \frac{B^{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 \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A**2/(a + b*x), x) + Integral(B**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))**2/(a + b*x), x) + Integral(2*A*B*log(a*e/(c + d*x) + b*e*x/(c + d*x))/(a + b*x), x))/g","F",0
102,1,434,0,3.590533," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**2,x)","- \frac{2 B d \left(A + B\right) \log{\left(x + \frac{2 A B a d^{2} + 2 A B b c d + 2 B^{2} a d^{2} + 2 B^{2} b c d - \frac{2 B a^{2} d^{3} \left(A + B\right)}{a d - b c} + \frac{4 B a b c d^{2} \left(A + B\right)}{a d - b c} - \frac{2 B b^{2} c^{2} d \left(A + B\right)}{a d - b c}}{4 A B b d^{2} + 4 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{2 B d \left(A + B\right) \log{\left(x + \frac{2 A B a d^{2} + 2 A B b c d + 2 B^{2} a d^{2} + 2 B^{2} b c d + \frac{2 B a^{2} d^{3} \left(A + B\right)}{a d - b c} - \frac{4 B a b c d^{2} \left(A + B\right)}{a d - b c} + \frac{2 B b^{2} c^{2} d \left(A + B\right)}{a d - b c}}{4 A B b d^{2} + 4 B^{2} b d^{2}} \right)}}{b g^{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)}}{a b g^{2} + b^{2} g^{2} x} + \frac{\left(B^{2} c + B^{2} d x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{a^{2} d g^{2} - a b c g^{2} + a b d g^{2} x - b^{2} c g^{2} x} + \frac{- A^{2} - 2 A B - 2 B^{2}}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-2*B*d*(A + B)*log(x + (2*A*B*a*d**2 + 2*A*B*b*c*d + 2*B**2*a*d**2 + 2*B**2*b*c*d - 2*B*a**2*d**3*(A + B)/(a*d - b*c) + 4*B*a*b*c*d**2*(A + B)/(a*d - b*c) - 2*B*b**2*c**2*d*(A + B)/(a*d - b*c))/(4*A*B*b*d**2 + 4*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + 2*B*d*(A + B)*log(x + (2*A*B*a*d**2 + 2*A*B*b*c*d + 2*B**2*a*d**2 + 2*B**2*b*c*d + 2*B*a**2*d**3*(A + B)/(a*d - b*c) - 4*B*a*b*c*d**2*(A + B)/(a*d - b*c) + 2*B*b**2*c**2*d*(A + B)/(a*d - b*c))/(4*A*B*b*d**2 + 4*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + (-2*A*B - 2*B**2)*log(e*(a + b*x)/(c + d*x))/(a*b*g**2 + b**2*g**2*x) + (B**2*c + B**2*d*x)*log(e*(a + b*x)/(c + d*x))**2/(a**2*d*g**2 - a*b*c*g**2 + a*b*d*g**2*x - b**2*c*g**2*x) + (-A**2 - 2*A*B - 2*B**2)/(a*b*g**2 + b**2*g**2*x)","B",0
103,1,894,0,6.550468," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**3,x)","- \frac{B d^{2} \left(2 A + 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} + 3 B^{2} a d^{3} + 3 B^{2} b c d^{2} - \frac{B a^{3} d^{5} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{B b^{3} c^{3} d^{2} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} + 6 B^{2} b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{B d^{2} \left(2 A + 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} + 3 B^{2} a d^{3} + 3 B^{2} b c d^{2} + \frac{B a^{3} d^{5} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{B b^{3} c^{3} d^{2} \left(2 A + 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} + 6 B^{2} b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{\left(2 B^{2} a c d + 2 B^{2} a d^{2} x - B^{2} b c^{2} + B^{2} b d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{2 a^{4} d^{2} g^{3} - 4 a^{3} b c d g^{3} + 4 a^{3} b d^{2} g^{3} x + 2 a^{2} b^{2} c^{2} g^{3} - 8 a^{2} b^{2} c d g^{3} x + 2 a^{2} b^{2} d^{2} g^{3} x^{2} + 4 a b^{3} c^{2} g^{3} x - 4 a b^{3} c d g^{3} x^{2} + 2 b^{4} c^{2} g^{3} x^{2}} + \frac{\left(- 2 A B a d + 2 A B b c - 3 B^{2} a d + 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^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + 4 a^{2} b^{2} d g^{3} x - 4 a b^{3} c g^{3} x + 2 a b^{3} d g^{3} x^{2} - 2 b^{4} c g^{3} x^{2}} + \frac{- 2 A^{2} a d + 2 A^{2} b c - 6 A B a d + 2 A B b c - 7 B^{2} a d + B^{2} b c + x \left(- 4 A B b d - 6 B^{2} b d\right)}{4 a^{3} b d g^{3} - 4 a^{2} b^{2} c g^{3} + x^{2} \left(4 a b^{3} d g^{3} - 4 b^{4} c g^{3}\right) + x \left(8 a^{2} b^{2} d g^{3} - 8 a b^{3} c g^{3}\right)}"," ",0,"-B*d**2*(2*A + 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 + 3*B**2*a*d**3 + 3*B**2*b*c*d**2 - B*a**3*d**5*(2*A + 3*B)/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4*(2*A + 3*B)/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3*(2*A + 3*B)/(a*d - b*c)**2 + B*b**3*c**3*d**2*(2*A + 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 + 6*B**2*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + B*d**2*(2*A + 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 + 3*B**2*a*d**3 + 3*B**2*b*c*d**2 + B*a**3*d**5*(2*A + 3*B)/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4*(2*A + 3*B)/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3*(2*A + 3*B)/(a*d - b*c)**2 - B*b**3*c**3*d**2*(2*A + 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 + 6*B**2*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + (2*B**2*a*c*d + 2*B**2*a*d**2*x - B**2*b*c**2 + B**2*b*d**2*x**2)*log(e*(a + b*x)/(c + d*x))**2/(2*a**4*d**2*g**3 - 4*a**3*b*c*d*g**3 + 4*a**3*b*d**2*g**3*x + 2*a**2*b**2*c**2*g**3 - 8*a**2*b**2*c*d*g**3*x + 2*a**2*b**2*d**2*g**3*x**2 + 4*a*b**3*c**2*g**3*x - 4*a*b**3*c*d*g**3*x**2 + 2*b**4*c**2*g**3*x**2) + (-2*A*B*a*d + 2*A*B*b*c - 3*B**2*a*d + B**2*b*c - 2*B**2*b*d*x)*log(e*(a + b*x)/(c + d*x))/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + 4*a**2*b**2*d*g**3*x - 4*a*b**3*c*g**3*x + 2*a*b**3*d*g**3*x**2 - 2*b**4*c*g**3*x**2) + (-2*A**2*a*d + 2*A**2*b*c - 6*A*B*a*d + 2*A*B*b*c - 7*B**2*a*d + B**2*b*c + x*(-4*A*B*b*d - 6*B**2*b*d))/(4*a**3*b*d*g**3 - 4*a**2*b**2*c*g**3 + x**2*(4*a*b**3*d*g**3 - 4*b**4*c*g**3) + x*(8*a**2*b**2*d*g**3 - 8*a*b**3*c*g**3))","B",0
104,1,1544,0,34.300213," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(b*g*x+a*g)**4,x)","- \frac{B d^{3} \left(6 A + 11 B\right) \log{\left(x + \frac{6 A B a d^{4} + 6 A B b c d^{3} + 11 B^{2} a d^{4} + 11 B^{2} b c d^{3} - \frac{B a^{4} d^{7} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{6} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{5} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{4} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{B b^{4} c^{4} d^{3} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}}}{12 A B b d^{4} + 22 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{B d^{3} \left(6 A + 11 B\right) \log{\left(x + \frac{6 A B a d^{4} + 6 A B b c d^{3} + 11 B^{2} a d^{4} + 11 B^{2} b c d^{3} + \frac{B a^{4} d^{7} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{6} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{5} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{4} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{B b^{4} c^{4} d^{3} \left(6 A + 11 B\right)}{\left(a d - b c\right)^{3}}}{12 A B b d^{4} + 22 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{\left(3 B^{2} a^{2} c d^{2} + 3 B^{2} a^{2} d^{3} x - 3 B^{2} a b c^{2} d + 3 B^{2} a b d^{3} x^{2} + B^{2} b^{2} c^{3} + B^{2} b^{2} d^{3} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}^{2}}{3 a^{6} d^{3} g^{4} - 9 a^{5} b c d^{2} g^{4} + 9 a^{5} b d^{3} g^{4} x + 9 a^{4} b^{2} c^{2} d g^{4} - 27 a^{4} b^{2} c d^{2} g^{4} x + 9 a^{4} b^{2} d^{3} g^{4} x^{2} - 3 a^{3} b^{3} c^{3} g^{4} + 27 a^{3} b^{3} c^{2} d g^{4} x - 27 a^{3} b^{3} c d^{2} g^{4} x^{2} + 3 a^{3} b^{3} d^{3} g^{4} x^{3} - 9 a^{2} b^{4} c^{3} g^{4} x + 27 a^{2} b^{4} c^{2} d g^{4} x^{2} - 9 a^{2} b^{4} c d^{2} g^{4} x^{3} - 9 a b^{5} c^{3} g^{4} x^{2} + 9 a b^{5} c^{2} d g^{4} x^{3} - 3 b^{6} c^{3} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} + 12 A B a b c d - 6 A B b^{2} c^{2} - 11 B^{2} a^{2} d^{2} + 7 B^{2} a b c d - 15 B^{2} a b d^{2} x - 2 B^{2} b^{2} c^{2} + 3 B^{2} b^{2} c d x - 6 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 27 a^{4} b^{2} d^{2} g^{4} x + 9 a^{3} b^{3} c^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} x + 27 a^{3} b^{3} d^{2} g^{4} x^{2} + 27 a^{2} b^{4} c^{2} g^{4} x - 54 a^{2} b^{4} c d g^{4} x^{2} + 9 a^{2} b^{4} d^{2} g^{4} x^{3} + 27 a b^{5} c^{2} g^{4} x^{2} - 18 a b^{5} c d g^{4} x^{3} + 9 b^{6} c^{2} g^{4} x^{3}} - \frac{18 A^{2} a^{2} d^{2} - 36 A^{2} a b c d + 18 A^{2} b^{2} c^{2} + 66 A B a^{2} d^{2} - 42 A B a b c d + 12 A B b^{2} c^{2} + 85 B^{2} a^{2} d^{2} - 23 B^{2} a b c d + 4 B^{2} b^{2} c^{2} + x^{2} \left(36 A B b^{2} d^{2} + 66 B^{2} b^{2} d^{2}\right) + x \left(90 A B a b d^{2} - 18 A B b^{2} c d + 147 B^{2} a b d^{2} - 15 B^{2} b^{2} c d\right)}{54 a^{5} b d^{2} g^{4} - 108 a^{4} b^{2} c d g^{4} + 54 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(54 a^{2} b^{4} d^{2} g^{4} - 108 a b^{5} c d g^{4} + 54 b^{6} c^{2} g^{4}\right) + x^{2} \left(162 a^{3} b^{3} d^{2} g^{4} - 324 a^{2} b^{4} c d g^{4} + 162 a b^{5} c^{2} g^{4}\right) + x \left(162 a^{4} b^{2} d^{2} g^{4} - 324 a^{3} b^{3} c d g^{4} + 162 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-B*d**3*(6*A + 11*B)*log(x + (6*A*B*a*d**4 + 6*A*B*b*c*d**3 + 11*B**2*a*d**4 + 11*B**2*b*c*d**3 - B*a**4*d**7*(6*A + 11*B)/(a*d - b*c)**3 + 4*B*a**3*b*c*d**6*(6*A + 11*B)/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**5*(6*A + 11*B)/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**4*(6*A + 11*B)/(a*d - b*c)**3 - B*b**4*c**4*d**3*(6*A + 11*B)/(a*d - b*c)**3)/(12*A*B*b*d**4 + 22*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + B*d**3*(6*A + 11*B)*log(x + (6*A*B*a*d**4 + 6*A*B*b*c*d**3 + 11*B**2*a*d**4 + 11*B**2*b*c*d**3 + B*a**4*d**7*(6*A + 11*B)/(a*d - b*c)**3 - 4*B*a**3*b*c*d**6*(6*A + 11*B)/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**5*(6*A + 11*B)/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**4*(6*A + 11*B)/(a*d - b*c)**3 + B*b**4*c**4*d**3*(6*A + 11*B)/(a*d - b*c)**3)/(12*A*B*b*d**4 + 22*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + (3*B**2*a**2*c*d**2 + 3*B**2*a**2*d**3*x - 3*B**2*a*b*c**2*d + 3*B**2*a*b*d**3*x**2 + B**2*b**2*c**3 + B**2*b**2*d**3*x**3)*log(e*(a + b*x)/(c + d*x))**2/(3*a**6*d**3*g**4 - 9*a**5*b*c*d**2*g**4 + 9*a**5*b*d**3*g**4*x + 9*a**4*b**2*c**2*d*g**4 - 27*a**4*b**2*c*d**2*g**4*x + 9*a**4*b**2*d**3*g**4*x**2 - 3*a**3*b**3*c**3*g**4 + 27*a**3*b**3*c**2*d*g**4*x - 27*a**3*b**3*c*d**2*g**4*x**2 + 3*a**3*b**3*d**3*g**4*x**3 - 9*a**2*b**4*c**3*g**4*x + 27*a**2*b**4*c**2*d*g**4*x**2 - 9*a**2*b**4*c*d**2*g**4*x**3 - 9*a*b**5*c**3*g**4*x**2 + 9*a*b**5*c**2*d*g**4*x**3 - 3*b**6*c**3*g**4*x**3) + (-6*A*B*a**2*d**2 + 12*A*B*a*b*c*d - 6*A*B*b**2*c**2 - 11*B**2*a**2*d**2 + 7*B**2*a*b*c*d - 15*B**2*a*b*d**2*x - 2*B**2*b**2*c**2 + 3*B**2*b**2*c*d*x - 6*B**2*b**2*d**2*x**2)*log(e*(a + b*x)/(c + d*x))/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 27*a**4*b**2*d**2*g**4*x + 9*a**3*b**3*c**2*g**4 - 54*a**3*b**3*c*d*g**4*x + 27*a**3*b**3*d**2*g**4*x**2 + 27*a**2*b**4*c**2*g**4*x - 54*a**2*b**4*c*d*g**4*x**2 + 9*a**2*b**4*d**2*g**4*x**3 + 27*a*b**5*c**2*g**4*x**2 - 18*a*b**5*c*d*g**4*x**3 + 9*b**6*c**2*g**4*x**3) - (18*A**2*a**2*d**2 - 36*A**2*a*b*c*d + 18*A**2*b**2*c**2 + 66*A*B*a**2*d**2 - 42*A*B*a*b*c*d + 12*A*B*b**2*c**2 + 85*B**2*a**2*d**2 - 23*B**2*a*b*c*d + 4*B**2*b**2*c**2 + x**2*(36*A*B*b**2*d**2 + 66*B**2*b**2*d**2) + x*(90*A*B*a*b*d**2 - 18*A*B*b**2*c*d + 147*B**2*a*b*d**2 - 15*B**2*b**2*c*d))/(54*a**5*b*d**2*g**4 - 108*a**4*b**2*c*d*g**4 + 54*a**3*b**3*c**2*g**4 + x**3*(54*a**2*b**4*d**2*g**4 - 108*a*b**5*c*d*g**4 + 54*b**6*c**2*g**4) + x**2*(162*a**3*b**3*d**2*g**4 - 324*a**2*b**4*c*d*g**4 + 162*a*b**5*c**2*g**4) + x*(162*a**4*b**2*d**2*g**4 - 324*a**3*b**3*c*d*g**4 + 162*a**2*b**4*c**2*g**4))","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)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
106,0,0,0,0.000000," ","integrate(ln(d*(b*x+a)/b/(d*x+c))/(d*f*x+c*f),x)","\frac{\int \frac{\log{\left(\frac{a d}{b c + b d x} + \frac{b d x}{b c + b d x} \right)}}{c + d x}\, dx}{f}"," ",0,"Integral(log(a*d/(b*c + b*d*x) + b*d*x/(b*c + b*d*x))/(c + d*x), x)/f","F",0
107,0,0,0,0.000000," ","integrate(ln(1+1/(b*x+a))/(b*x+a),x)","\int \frac{\log{\left(1 + \frac{1}{a + b x} \right)}}{a + b x}\, dx"," ",0,"Integral(log(1 + 1/(a + b*x))/(a + b*x), x)","F",0
108,0,0,0,0.000000," ","integrate(ln(1-1/(b*x+a))/(b*x+a),x)","\int \frac{\log{\left(1 - \frac{1}{a + b x} \right)}}{a + b x}\, dx"," ",0,"Integral(log(1 - 1/(a + b*x))/(a + b*x), x)","F",0
109,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","g^{2} \left(\int \frac{a^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{b^{2} x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 a b x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(b**2*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*a*b*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))","F",0
110,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","g \left(\int \frac{a}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{b x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx\right)"," ",0,"g*(Integral(a/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(b*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))","F",0
111,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{\int \frac{1}{A a + A b x + B a \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + B b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*a + A*b*x + B*a*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + B*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)/g","F",0
112,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + 2 B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + 2*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)/g**2","F",0
113,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{\int \frac{1}{A a^{3} + 3 A a^{2} b x + 3 A a b^{2} x^{2} + A b^{3} x^{3} + B a^{3} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + 3 B a^{2} b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + 3 B a b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + B b^{3} x^{3} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{g^{3}}"," ",0,"Integral(1/(A*a**3 + 3*A*a**2*b*x + 3*A*a*b**2*x**2 + A*b**3*x**3 + B*a**3*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + 3*B*a**2*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + 3*B*a*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + B*b**3*x**3*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)/g**3","F",0
114,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{a^{3} c g^{2} + a^{3} d g^{2} x + 3 a^{2} b c g^{2} x + 3 a^{2} b d g^{2} x^{2} + 3 a b^{2} c g^{2} x^{2} + 3 a b^{2} d g^{2} x^{3} + b^{3} c g^{2} x^{3} + b^{3} d g^{2} x^{4}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{g^{2} \left(\int \frac{a^{3} d}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 a^{2} b c}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 b^{3} c x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{4 b^{3} d x^{3}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{6 a b^{2} c x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{9 a b^{2} d x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{6 a^{2} b d x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx\right)}{B \left(a d - b c\right)}"," ",0,"(a**3*c*g**2 + a**3*d*g**2*x + 3*a**2*b*c*g**2*x + 3*a**2*b*d*g**2*x**2 + 3*a*b**2*c*g**2*x**2 + 3*a*b**2*d*g**2*x**3 + b**3*c*g**2*x**3 + b**3*d*g**2*x**4)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(a + b*x)/(c + d*x))) - g**2*(Integral(a**3*d/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*a**2*b*c/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*b**3*c*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(4*b**3*d*x**3/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(6*a*b**2*c*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(9*a*b**2*d*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(6*a**2*b*d*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))/(B*(a*d - b*c))","F",0
115,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{a^{2} c g + a^{2} d g x + 2 a b c g x + 2 a b d g x^{2} + b^{2} c g x^{2} + b^{2} d g x^{3}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{g \left(\int \frac{a^{2} d}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 a b c}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 b^{2} c x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 b^{2} d x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{4 a b d x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx\right)}{B \left(a d - b c\right)}"," ",0,"(a**2*c*g + a**2*d*g*x + 2*a*b*c*g*x + 2*a*b*d*g*x**2 + b**2*c*g*x**2 + b**2*d*g*x**3)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(a + b*x)/(c + d*x))) - g*(Integral(a**2*d/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*a*b*c/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*b**2*c*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*b**2*d*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(4*a*b*d*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))/(B*(a*d - b*c))","F",0
116,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{c + d x}{A B a d g - A B b c g + \left(B^{2} a d g - B^{2} b c g\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{d \int \frac{1}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{B g \left(a d - b c\right)}"," ",0,"(c + d*x)/(A*B*a*d*g - A*B*b*c*g + (B**2*a*d*g - B**2*b*c*g)*log(e*(a + b*x)/(c + d*x))) - d*Integral(1/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)/(B*g*(a*d - b*c))","F",0
117,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{c + d x}{A B a^{2} d g^{2} - A B a b c g^{2} + A B a b d g^{2} x - A B b^{2} c g^{2} x + \left(B^{2} a^{2} d g^{2} - B^{2} a b c g^{2} + B^{2} a b d g^{2} x - B^{2} b^{2} c g^{2} x\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + 2 B a b x \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)} + B b^{2} x^{2} \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{B g^{2}}"," ",0,"(c + d*x)/(A*B*a**2*d*g**2 - A*B*a*b*c*g**2 + A*B*a*b*d*g**2*x - A*B*b**2*c*g**2*x + (B**2*a**2*d*g**2 - B**2*a*b*c*g**2 + B**2*a*b*d*g**2*x - B**2*b**2*c*g**2*x)*log(e*(a + b*x)/(c + d*x))) - Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + 2*B*a*b*x*log(a*e/(c + d*x) + b*e*x/(c + d*x)) + B*b**2*x**2*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)/(B*g**2)","F",0
118,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
119,1,998,0,6.744481," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A b^{4} g^{4} x^{5}}{5} + \frac{2 B a^{5} g^{4} \log{\left(x + \frac{\frac{2 B a^{6} d^{5} g^{4}}{b} + 10 B a^{5} c d^{4} g^{4} - 20 B a^{4} b c^{2} d^{3} g^{4} + 20 B a^{3} b^{2} c^{3} d^{2} g^{4} - 10 B a^{2} b^{3} c^{4} d g^{4} + 2 B a b^{4} c^{5} g^{4}}{2 B a^{5} d^{5} g^{4} + 10 B a^{4} b c d^{4} g^{4} - 20 B a^{3} b^{2} c^{2} d^{3} g^{4} + 20 B a^{2} b^{3} c^{3} d^{2} g^{4} - 10 B a b^{4} c^{4} d g^{4} + 2 B b^{5} c^{5} g^{4}} \right)}}{5 b} - \frac{2 B c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) \log{\left(x + \frac{12 B a^{5} c d^{4} g^{4} - 20 B a^{4} b c^{2} d^{3} g^{4} + 20 B a^{3} b^{2} c^{3} d^{2} g^{4} - 10 B a^{2} b^{3} c^{4} d g^{4} + 2 B a b^{4} c^{5} g^{4} - 2 B a c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) + \frac{2 B b c^{2} g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right)}{d}}{2 B a^{5} d^{5} g^{4} + 10 B a^{4} b c d^{4} g^{4} - 20 B a^{3} b^{2} c^{2} d^{3} g^{4} + 20 B a^{2} b^{3} c^{3} d^{2} g^{4} - 10 B a b^{4} c^{4} d g^{4} + 2 B b^{5} c^{5} g^{4}} \right)}}{5 d^{5}} + x^{4} \left(A a b^{3} g^{4} + \frac{B a b^{3} g^{4}}{10} - \frac{B b^{4} c g^{4}}{10 d}\right) + x^{3} \left(2 A a^{2} b^{2} g^{4} + \frac{8 B a^{2} b^{2} g^{4}}{15} - \frac{2 B a b^{3} c g^{4}}{3 d} + \frac{2 B b^{4} c^{2} g^{4}}{15 d^{2}}\right) + x^{2} \left(2 A a^{3} b g^{4} + \frac{6 B a^{3} b g^{4}}{5} - \frac{2 B a^{2} b^{2} c g^{4}}{d} + \frac{B a b^{3} c^{2} g^{4}}{d^{2}} - \frac{B b^{4} c^{3} g^{4}}{5 d^{3}}\right) + x \left(A a^{4} g^{4} + \frac{8 B a^{4} g^{4}}{5} - \frac{4 B a^{3} b c g^{4}}{d} + \frac{4 B a^{2} b^{2} c^{2} g^{4}}{d^{2}} - \frac{2 B a b^{3} c^{3} g^{4}}{d^{3}} + \frac{2 B b^{4} c^{4} g^{4}}{5 d^{4}}\right) + \left(B a^{4} g^{4} x + 2 B a^{3} b g^{4} x^{2} + 2 B a^{2} b^{2} g^{4} x^{3} + B a b^{3} g^{4} x^{4} + \frac{B b^{4} g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*b**4*g**4*x**5/5 + 2*B*a**5*g**4*log(x + (2*B*a**6*d**5*g**4/b + 10*B*a**5*c*d**4*g**4 - 20*B*a**4*b*c**2*d**3*g**4 + 20*B*a**3*b**2*c**3*d**2*g**4 - 10*B*a**2*b**3*c**4*d*g**4 + 2*B*a*b**4*c**5*g**4)/(2*B*a**5*d**5*g**4 + 10*B*a**4*b*c*d**4*g**4 - 20*B*a**3*b**2*c**2*d**3*g**4 + 20*B*a**2*b**3*c**3*d**2*g**4 - 10*B*a*b**4*c**4*d*g**4 + 2*B*b**5*c**5*g**4))/(5*b) - 2*B*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)*log(x + (12*B*a**5*c*d**4*g**4 - 20*B*a**4*b*c**2*d**3*g**4 + 20*B*a**3*b**2*c**3*d**2*g**4 - 10*B*a**2*b**3*c**4*d*g**4 + 2*B*a*b**4*c**5*g**4 - 2*B*a*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4) + 2*B*b*c**2*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)/d)/(2*B*a**5*d**5*g**4 + 10*B*a**4*b*c*d**4*g**4 - 20*B*a**3*b**2*c**2*d**3*g**4 + 20*B*a**2*b**3*c**3*d**2*g**4 - 10*B*a*b**4*c**4*d*g**4 + 2*B*b**5*c**5*g**4))/(5*d**5) + x**4*(A*a*b**3*g**4 + B*a*b**3*g**4/10 - B*b**4*c*g**4/(10*d)) + x**3*(2*A*a**2*b**2*g**4 + 8*B*a**2*b**2*g**4/15 - 2*B*a*b**3*c*g**4/(3*d) + 2*B*b**4*c**2*g**4/(15*d**2)) + x**2*(2*A*a**3*b*g**4 + 6*B*a**3*b*g**4/5 - 2*B*a**2*b**2*c*g**4/d + B*a*b**3*c**2*g**4/d**2 - B*b**4*c**3*g**4/(5*d**3)) + x*(A*a**4*g**4 + 8*B*a**4*g**4/5 - 4*B*a**3*b*c*g**4/d + 4*B*a**2*b**2*c**2*g**4/d**2 - 2*B*a*b**3*c**3*g**4/d**3 + 2*B*b**4*c**4*g**4/(5*d**4)) + (B*a**4*g**4*x + 2*B*a**3*b*g**4*x**2 + 2*B*a**2*b**2*g**4*x**3 + B*a*b**3*g**4*x**4 + B*b**4*g**4*x**5/5)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
120,1,707,0,4.888115," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A b^{3} g^{3} x^{4}}{4} + \frac{B a^{4} g^{3} \log{\left(x + \frac{\frac{B a^{5} d^{4} g^{3}}{b} + 4 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{2 b} - \frac{B c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{5 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3} - B a c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right)}{d}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{2 d^{4}} + x^{3} \left(A a b^{2} g^{3} + \frac{B a b^{2} g^{3}}{6} - \frac{B b^{3} c g^{3}}{6 d}\right) + x^{2} \left(\frac{3 A a^{2} b g^{3}}{2} + \frac{3 B a^{2} b g^{3}}{4} - \frac{B a b^{2} c g^{3}}{d} + \frac{B b^{3} c^{2} g^{3}}{4 d^{2}}\right) + x \left(A a^{3} g^{3} + \frac{3 B a^{3} g^{3}}{2} - \frac{3 B a^{2} b c g^{3}}{d} + \frac{2 B a b^{2} c^{2} g^{3}}{d^{2}} - \frac{B b^{3} c^{3} g^{3}}{2 d^{3}}\right) + \left(B a^{3} g^{3} x + \frac{3 B a^{2} b g^{3} x^{2}}{2} + B a b^{2} g^{3} x^{3} + \frac{B b^{3} g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*b**3*g**3*x**4/4 + B*a**4*g**3*log(x + (B*a**5*d**4*g**3/b + 4*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(2*b) - B*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)*log(x + (5*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3 - B*a*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2) + B*b*c**2*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)/d)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(2*d**4) + x**3*(A*a*b**2*g**3 + B*a*b**2*g**3/6 - B*b**3*c*g**3/(6*d)) + x**2*(3*A*a**2*b*g**3/2 + 3*B*a**2*b*g**3/4 - B*a*b**2*c*g**3/d + B*b**3*c**2*g**3/(4*d**2)) + x*(A*a**3*g**3 + 3*B*a**3*g**3/2 - 3*B*a**2*b*c*g**3/d + 2*B*a*b**2*c**2*g**3/d**2 - B*b**3*c**3*g**3/(2*d**3)) + (B*a**3*g**3*x + 3*B*a**2*b*g**3*x**2/2 + B*a*b**2*g**3*x**3 + B*b**3*g**3*x**4/4)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
121,1,517,0,3.513236," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A b^{2} g^{2} x^{3}}{3} + \frac{2 B a^{3} g^{2} \log{\left(x + \frac{\frac{2 B a^{4} d^{3} g^{2}}{b} + 6 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c^{2} d g^{2} + 2 B a b^{2} c^{3} g^{2}}{2 B a^{3} d^{3} g^{2} + 6 B a^{2} b c d^{2} g^{2} - 6 B a b^{2} c^{2} d g^{2} + 2 B b^{3} c^{3} g^{2}} \right)}}{3 b} - \frac{2 B c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{8 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c^{2} d g^{2} + 2 B a b^{2} c^{3} g^{2} - 2 B a c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) + \frac{2 B b c^{2} g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{d}}{2 B a^{3} d^{3} g^{2} + 6 B a^{2} b c d^{2} g^{2} - 6 B a b^{2} c^{2} d g^{2} + 2 B b^{3} c^{3} g^{2}} \right)}}{3 d^{3}} + x^{2} \left(A a b g^{2} + \frac{B a b g^{2}}{3} - \frac{B b^{2} c g^{2}}{3 d}\right) + x \left(A a^{2} g^{2} + \frac{4 B a^{2} g^{2}}{3} - \frac{2 B a b c g^{2}}{d} + \frac{2 B b^{2} c^{2} g^{2}}{3 d^{2}}\right) + \left(B a^{2} g^{2} x + B a b g^{2} x^{2} + \frac{B b^{2} g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*b**2*g**2*x**3/3 + 2*B*a**3*g**2*log(x + (2*B*a**4*d**3*g**2/b + 6*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c**2*d*g**2 + 2*B*a*b**2*c**3*g**2)/(2*B*a**3*d**3*g**2 + 6*B*a**2*b*c*d**2*g**2 - 6*B*a*b**2*c**2*d*g**2 + 2*B*b**3*c**3*g**2))/(3*b) - 2*B*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (8*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c**2*d*g**2 + 2*B*a*b**2*c**3*g**2 - 2*B*a*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2) + 2*B*b*c**2*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/d)/(2*B*a**3*d**3*g**2 + 6*B*a**2*b*c*d**2*g**2 - 6*B*a*b**2*c**2*d*g**2 + 2*B*b**3*c**3*g**2))/(3*d**3) + x**2*(A*a*b*g**2 + B*a*b*g**2/3 - B*b**2*c*g**2/(3*d)) + x*(A*a**2*g**2 + 4*B*a**2*g**2/3 - 2*B*a*b*c*g**2/d + 2*B*b**2*c**2*g**2/(3*d**2)) + (B*a**2*g**2*x + B*a*b*g**2*x**2 + B*b**2*g**2*x**3/3)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
122,1,250,0,2.018763," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A b g x^{2}}{2} + \frac{B a^{2} g \log{\left(x + \frac{\frac{B a^{3} d^{2} g}{b} + 2 B a^{2} c d g - B a b c^{2} g}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{b} - \frac{B c g \left(2 a d - b c\right) \log{\left(x + \frac{3 B a^{2} c d g - B a b c^{2} g - B a c g \left(2 a d - b c\right) + \frac{B b c^{2} g \left(2 a d - b c\right)}{d}}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{d^{2}} + x \left(A a g + B a g - \frac{B b c g}{d}\right) + \left(B a g x + \frac{B b g x^{2}}{2}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*b*g*x**2/2 + B*a**2*g*log(x + (B*a**3*d**2*g/b + 2*B*a**2*c*d*g - B*a*b*c**2*g)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/b - B*c*g*(2*a*d - b*c)*log(x + (3*B*a**2*c*d*g - B*a*b*c**2*g - B*a*c*g*(2*a*d - b*c) + B*b*c**2*g*(2*a*d - b*c)/d)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/d**2 + x*(A*a*g + B*a*g - B*b*c*g/d) + (B*a*g*x + B*b*g*x**2/2)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
123,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(b*g*x+a*g),x)","\frac{\int \frac{A}{a + b x}\, dx + \int \frac{B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A/(a + b*x), x) + Integral(B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))/(a + b*x), x))/g","F",0
124,1,255,0,1.723471," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(b*g*x+a*g)**2,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{a b g^{2} + b^{2} g^{2} x} - \frac{2 B d \log{\left(x + \frac{- \frac{2 B a^{2} d^{3}}{a d - b c} + \frac{4 B a b c d^{2}}{a d - b c} + 2 B a d^{2} - \frac{2 B b^{2} c^{2} d}{a d - b c} + 2 B b c d}{4 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{2 B d \log{\left(x + \frac{\frac{2 B a^{2} d^{3}}{a d - b c} - \frac{4 B a b c d^{2}}{a d - b c} + 2 B a d^{2} + \frac{2 B b^{2} c^{2} d}{a d - b c} + 2 B b c d}{4 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{- A - 2 B}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-B*log(e*(a + b*x)**2/(c + d*x)**2)/(a*b*g**2 + b**2*g**2*x) - 2*B*d*log(x + (-2*B*a**2*d**3/(a*d - b*c) + 4*B*a*b*c*d**2/(a*d - b*c) + 2*B*a*d**2 - 2*B*b**2*c**2*d/(a*d - b*c) + 2*B*b*c*d)/(4*B*b*d**2))/(b*g**2*(a*d - b*c)) + 2*B*d*log(x + (2*B*a**2*d**3/(a*d - b*c) - 4*B*a*b*c*d**2/(a*d - b*c) + 2*B*a*d**2 + 2*B*b**2*c**2*d/(a*d - b*c) + 2*B*b*c*d)/(4*B*b*d**2))/(b*g**2*(a*d - b*c)) + (-A - 2*B)/(a*b*g**2 + b**2*g**2*x)","B",0
125,1,418,0,2.740663," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(b*g*x+a*g)**3,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{2 a^{2} b g^{3} + 4 a b^{2} g^{3} x + 2 b^{3} g^{3} x^{2}} - \frac{B d^{2} \log{\left(x + \frac{- \frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} + \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{B d^{2} \log{\left(x + \frac{\frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} - \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{- A a d + A b c - 3 B a d + B b c - 2 B b d x}{2 a^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + x^{2} \left(2 a b^{3} d g^{3} - 2 b^{4} c g^{3}\right) + x \left(4 a^{2} b^{2} d g^{3} - 4 a b^{3} c g^{3}\right)}"," ",0,"-B*log(e*(a + b*x)**2/(c + d*x)**2)/(2*a**2*b*g**3 + 4*a*b**2*g**3*x + 2*b**3*g**3*x**2) - B*d**2*log(x + (-B*a**3*d**5/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 + B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(b*g**3*(a*d - b*c)**2) + B*d**2*log(x + (B*a**3*d**5/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 - B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(b*g**3*(a*d - b*c)**2) + (-A*a*d + A*b*c - 3*B*a*d + B*b*c - 2*B*b*d*x)/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + x**2*(2*a*b**3*d*g**3 - 2*b**4*c*g**3) + x*(4*a**2*b**2*d*g**3 - 4*a*b**3*c*g**3))","B",0
126,1,677,0,4.243800," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(b*g*x+a*g)**4,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{3 a^{3} b g^{4} + 9 a^{2} b^{2} g^{4} x + 9 a b^{3} g^{4} x^{2} + 3 b^{4} g^{4} x^{3}} - \frac{2 B d^{3} \log{\left(x + \frac{- \frac{2 B a^{4} d^{7}}{\left(a d - b c\right)^{3}} + \frac{8 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} - \frac{12 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} + \frac{8 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + 2 B a d^{4} - \frac{2 B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + 2 B b c d^{3}}{4 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{2 B d^{3} \log{\left(x + \frac{\frac{2 B a^{4} d^{7}}{\left(a d - b c\right)^{3}} - \frac{8 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} + \frac{12 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} - \frac{8 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + 2 B a d^{4} + \frac{2 B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + 2 B b c d^{3}}{4 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{- 3 A a^{2} d^{2} + 6 A a b c d - 3 A b^{2} c^{2} - 11 B a^{2} d^{2} + 7 B a b c d - 2 B b^{2} c^{2} - 6 B b^{2} d^{2} x^{2} + x \left(- 15 B a b d^{2} + 3 B b^{2} c d\right)}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 9 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(9 a^{2} b^{4} d^{2} g^{4} - 18 a b^{5} c d g^{4} + 9 b^{6} c^{2} g^{4}\right) + x^{2} \left(27 a^{3} b^{3} d^{2} g^{4} - 54 a^{2} b^{4} c d g^{4} + 27 a b^{5} c^{2} g^{4}\right) + x \left(27 a^{4} b^{2} d^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} + 27 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-B*log(e*(a + b*x)**2/(c + d*x)**2)/(3*a**3*b*g**4 + 9*a**2*b**2*g**4*x + 9*a*b**3*g**4*x**2 + 3*b**4*g**4*x**3) - 2*B*d**3*log(x + (-2*B*a**4*d**7/(a*d - b*c)**3 + 8*B*a**3*b*c*d**6/(a*d - b*c)**3 - 12*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 + 8*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + 2*B*a*d**4 - 2*B*b**4*c**4*d**3/(a*d - b*c)**3 + 2*B*b*c*d**3)/(4*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + 2*B*d**3*log(x + (2*B*a**4*d**7/(a*d - b*c)**3 - 8*B*a**3*b*c*d**6/(a*d - b*c)**3 + 12*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 - 8*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + 2*B*a*d**4 + 2*B*b**4*c**4*d**3/(a*d - b*c)**3 + 2*B*b*c*d**3)/(4*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + (-3*A*a**2*d**2 + 6*A*a*b*c*d - 3*A*b**2*c**2 - 11*B*a**2*d**2 + 7*B*a*b*c*d - 2*B*b**2*c**2 - 6*B*b**2*d**2*x**2 + x*(-15*B*a*b*d**2 + 3*B*b**2*c*d))/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 9*a**3*b**3*c**2*g**4 + x**3*(9*a**2*b**4*d**2*g**4 - 18*a*b**5*c*d*g**4 + 9*b**6*c**2*g**4) + x**2*(27*a**3*b**3*d**2*g**4 - 54*a**2*b**4*c*d*g**4 + 27*a*b**5*c**2*g**4) + x*(27*a**4*b**2*d**2*g**4 - 54*a**3*b**3*c*d*g**4 + 27*a**2*b**4*c**2*g**4))","B",0
127,1,947,0,5.813613," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(b*g*x+a*g)**5,x)","- \frac{B \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{4 a^{4} b g^{5} + 16 a^{3} b^{2} g^{5} x + 24 a^{2} b^{3} g^{5} x^{2} + 16 a b^{4} g^{5} x^{3} + 4 b^{5} g^{5} x^{4}} - \frac{B d^{4} \log{\left(x + \frac{- \frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} + \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} - \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} + \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{2 b g^{5} \left(a d - b c\right)^{4}} + \frac{B d^{4} \log{\left(x + \frac{\frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} - \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} + \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} - \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{2 b g^{5} \left(a d - b c\right)^{4}} + \frac{- 6 A a^{3} d^{3} + 18 A a^{2} b c d^{2} - 18 A a b^{2} c^{2} d + 6 A b^{3} c^{3} - 25 B a^{3} d^{3} + 23 B a^{2} b c d^{2} - 13 B a b^{2} c^{2} d + 3 B b^{3} c^{3} - 12 B b^{3} d^{3} x^{3} + x^{2} \left(- 42 B a b^{2} d^{3} + 6 B b^{3} c d^{2}\right) + x \left(- 52 B a^{2} b d^{3} + 20 B a b^{2} c d^{2} - 4 B b^{3} c^{2} d\right)}{24 a^{7} b d^{3} g^{5} - 72 a^{6} b^{2} c d^{2} g^{5} + 72 a^{5} b^{3} c^{2} d g^{5} - 24 a^{4} b^{4} c^{3} g^{5} + x^{4} \left(24 a^{3} b^{5} d^{3} g^{5} - 72 a^{2} b^{6} c d^{2} g^{5} + 72 a b^{7} c^{2} d g^{5} - 24 b^{8} c^{3} g^{5}\right) + x^{3} \left(96 a^{4} b^{4} d^{3} g^{5} - 288 a^{3} b^{5} c d^{2} g^{5} + 288 a^{2} b^{6} c^{2} d g^{5} - 96 a b^{7} c^{3} g^{5}\right) + x^{2} \left(144 a^{5} b^{3} d^{3} g^{5} - 432 a^{4} b^{4} c d^{2} g^{5} + 432 a^{3} b^{5} c^{2} d g^{5} - 144 a^{2} b^{6} c^{3} g^{5}\right) + x \left(96 a^{6} b^{2} d^{3} g^{5} - 288 a^{5} b^{3} c d^{2} g^{5} + 288 a^{4} b^{4} c^{2} d g^{5} - 96 a^{3} b^{5} c^{3} g^{5}\right)}"," ",0,"-B*log(e*(a + b*x)**2/(c + d*x)**2)/(4*a**4*b*g**5 + 16*a**3*b**2*g**5*x + 24*a**2*b**3*g**5*x**2 + 16*a*b**4*g**5*x**3 + 4*b**5*g**5*x**4) - B*d**4*log(x + (-B*a**5*d**9/(a*d - b*c)**4 + 5*B*a**4*b*c*d**8/(a*d - b*c)**4 - 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 + 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 - 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 + B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(2*b*g**5*(a*d - b*c)**4) + B*d**4*log(x + (B*a**5*d**9/(a*d - b*c)**4 - 5*B*a**4*b*c*d**8/(a*d - b*c)**4 + 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 - 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 + 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 - B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(2*b*g**5*(a*d - b*c)**4) + (-6*A*a**3*d**3 + 18*A*a**2*b*c*d**2 - 18*A*a*b**2*c**2*d + 6*A*b**3*c**3 - 25*B*a**3*d**3 + 23*B*a**2*b*c*d**2 - 13*B*a*b**2*c**2*d + 3*B*b**3*c**3 - 12*B*b**3*d**3*x**3 + x**2*(-42*B*a*b**2*d**3 + 6*B*b**3*c*d**2) + x*(-52*B*a**2*b*d**3 + 20*B*a*b**2*c*d**2 - 4*B*b**3*c**2*d))/(24*a**7*b*d**3*g**5 - 72*a**6*b**2*c*d**2*g**5 + 72*a**5*b**3*c**2*d*g**5 - 24*a**4*b**4*c**3*g**5 + x**4*(24*a**3*b**5*d**3*g**5 - 72*a**2*b**6*c*d**2*g**5 + 72*a*b**7*c**2*d*g**5 - 24*b**8*c**3*g**5) + x**3*(96*a**4*b**4*d**3*g**5 - 288*a**3*b**5*c*d**2*g**5 + 288*a**2*b**6*c**2*d*g**5 - 96*a*b**7*c**3*g**5) + x**2*(144*a**5*b**3*d**3*g**5 - 432*a**4*b**4*c*d**2*g**5 + 432*a**3*b**5*c**2*d*g**5 - 144*a**2*b**6*c**3*g**5) + x*(96*a**6*b**2*d**3*g**5 - 288*a**5*b**3*c*d**2*g**5 + 288*a**4*b**4*c**2*d*g**5 - 96*a**3*b**5*c**3*g**5))","B",0
128,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
129,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
130,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
131,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(b*g*x+a*g),x)","\frac{\int \frac{A^{2}}{a + b x}\, dx + \int \frac{B^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A**2/(a + b*x), x) + Integral(B**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))**2/(a + b*x), x) + Integral(2*A*B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))/(a + b*x), x))/g","F",0
133,1,454,0,3.660028," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(b*g*x+a*g)**2,x)","- \frac{4 B d \left(A + 2 B\right) \log{\left(x + \frac{4 A B a d^{2} + 4 A B b c d + 8 B^{2} a d^{2} + 8 B^{2} b c d - \frac{4 B a^{2} d^{3} \left(A + 2 B\right)}{a d - b c} + \frac{8 B a b c d^{2} \left(A + 2 B\right)}{a d - b c} - \frac{4 B b^{2} c^{2} d \left(A + 2 B\right)}{a d - b c}}{8 A B b d^{2} + 16 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{4 B d \left(A + 2 B\right) \log{\left(x + \frac{4 A B a d^{2} + 4 A B b c d + 8 B^{2} a d^{2} + 8 B^{2} b c d + \frac{4 B a^{2} d^{3} \left(A + 2 B\right)}{a d - b c} - \frac{8 B a b c d^{2} \left(A + 2 B\right)}{a d - b c} + \frac{4 B b^{2} c^{2} d \left(A + 2 B\right)}{a d - b c}}{8 A B b d^{2} + 16 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{\left(- 2 A B - 4 B^{2}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{a b g^{2} + b^{2} g^{2} x} + \frac{\left(B^{2} c + B^{2} d x\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}^{2}}{a^{2} d g^{2} - a b c g^{2} + a b d g^{2} x - b^{2} c g^{2} x} + \frac{- A^{2} - 4 A B - 8 B^{2}}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-4*B*d*(A + 2*B)*log(x + (4*A*B*a*d**2 + 4*A*B*b*c*d + 8*B**2*a*d**2 + 8*B**2*b*c*d - 4*B*a**2*d**3*(A + 2*B)/(a*d - b*c) + 8*B*a*b*c*d**2*(A + 2*B)/(a*d - b*c) - 4*B*b**2*c**2*d*(A + 2*B)/(a*d - b*c))/(8*A*B*b*d**2 + 16*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + 4*B*d*(A + 2*B)*log(x + (4*A*B*a*d**2 + 4*A*B*b*c*d + 8*B**2*a*d**2 + 8*B**2*b*c*d + 4*B*a**2*d**3*(A + 2*B)/(a*d - b*c) - 8*B*a*b*c*d**2*(A + 2*B)/(a*d - b*c) + 4*B*b**2*c**2*d*(A + 2*B)/(a*d - b*c))/(8*A*B*b*d**2 + 16*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + (-2*A*B - 4*B**2)*log(e*(a + b*x)**2/(c + d*x)**2)/(a*b*g**2 + b**2*g**2*x) + (B**2*c + B**2*d*x)*log(e*(a + b*x)**2/(c + d*x)**2)**2/(a**2*d*g**2 - a*b*c*g**2 + a*b*d*g**2*x - b**2*c*g**2*x) + (-A**2 - 4*A*B - 8*B**2)/(a*b*g**2 + b**2*g**2*x)","B",0
134,1,879,0,6.235628," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(b*g*x+a*g)**3,x)","- \frac{2 B d^{2} \left(A + 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} + 6 B^{2} a d^{3} + 6 B^{2} b c d^{2} - \frac{2 B a^{3} d^{5} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{6 B a^{2} b c d^{4} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{6 B a b^{2} c^{2} d^{3} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{2 B b^{3} c^{3} d^{2} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} + 12 B^{2} b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{2 B d^{2} \left(A + 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} + 6 B^{2} a d^{3} + 6 B^{2} b c d^{2} + \frac{2 B a^{3} d^{5} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{6 B a^{2} b c d^{4} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{6 B a b^{2} c^{2} d^{3} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{2 B b^{3} c^{3} d^{2} \left(A + 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} + 12 B^{2} b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{\left(2 B^{2} a c d + 2 B^{2} a d^{2} x - B^{2} b c^{2} + B^{2} b d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}^{2}}{2 a^{4} d^{2} g^{3} - 4 a^{3} b c d g^{3} + 4 a^{3} b d^{2} g^{3} x + 2 a^{2} b^{2} c^{2} g^{3} - 8 a^{2} b^{2} c d g^{3} x + 2 a^{2} b^{2} d^{2} g^{3} x^{2} + 4 a b^{3} c^{2} g^{3} x - 4 a b^{3} c d g^{3} x^{2} + 2 b^{4} c^{2} g^{3} x^{2}} + \frac{\left(- A B a d + A B b c - 3 B^{2} a d + B^{2} b c - 2 B^{2} b d x\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{a^{3} b d g^{3} - a^{2} b^{2} c g^{3} + 2 a^{2} b^{2} d g^{3} x - 2 a b^{3} c g^{3} x + a b^{3} d g^{3} x^{2} - b^{4} c g^{3} x^{2}} + \frac{- A^{2} a d + A^{2} b c - 6 A B a d + 2 A B b c - 14 B^{2} a d + 2 B^{2} b c + x \left(- 4 A B b d - 12 B^{2} b d\right)}{2 a^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + x^{2} \left(2 a b^{3} d g^{3} - 2 b^{4} c g^{3}\right) + x \left(4 a^{2} b^{2} d g^{3} - 4 a b^{3} c g^{3}\right)}"," ",0,"-2*B*d**2*(A + 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 + 6*B**2*a*d**3 + 6*B**2*b*c*d**2 - 2*B*a**3*d**5*(A + 3*B)/(a*d - b*c)**2 + 6*B*a**2*b*c*d**4*(A + 3*B)/(a*d - b*c)**2 - 6*B*a*b**2*c**2*d**3*(A + 3*B)/(a*d - b*c)**2 + 2*B*b**3*c**3*d**2*(A + 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 + 12*B**2*b*d**3))/(b*g**3*(a*d - b*c)**2) + 2*B*d**2*(A + 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 + 6*B**2*a*d**3 + 6*B**2*b*c*d**2 + 2*B*a**3*d**5*(A + 3*B)/(a*d - b*c)**2 - 6*B*a**2*b*c*d**4*(A + 3*B)/(a*d - b*c)**2 + 6*B*a*b**2*c**2*d**3*(A + 3*B)/(a*d - b*c)**2 - 2*B*b**3*c**3*d**2*(A + 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 + 12*B**2*b*d**3))/(b*g**3*(a*d - b*c)**2) + (2*B**2*a*c*d + 2*B**2*a*d**2*x - B**2*b*c**2 + B**2*b*d**2*x**2)*log(e*(a + b*x)**2/(c + d*x)**2)**2/(2*a**4*d**2*g**3 - 4*a**3*b*c*d*g**3 + 4*a**3*b*d**2*g**3*x + 2*a**2*b**2*c**2*g**3 - 8*a**2*b**2*c*d*g**3*x + 2*a**2*b**2*d**2*g**3*x**2 + 4*a*b**3*c**2*g**3*x - 4*a*b**3*c*d*g**3*x**2 + 2*b**4*c**2*g**3*x**2) + (-A*B*a*d + A*B*b*c - 3*B**2*a*d + B**2*b*c - 2*B**2*b*d*x)*log(e*(a + b*x)**2/(c + d*x)**2)/(a**3*b*d*g**3 - a**2*b**2*c*g**3 + 2*a**2*b**2*d*g**3*x - 2*a*b**3*c*g**3*x + a*b**3*d*g**3*x**2 - b**4*c*g**3*x**2) + (-A**2*a*d + A**2*b*c - 6*A*B*a*d + 2*A*B*b*c - 14*B**2*a*d + 2*B**2*b*c + x*(-4*A*B*b*d - 12*B**2*b*d))/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + x**2*(2*a*b**3*d*g**3 - 2*b**4*c*g**3) + x*(4*a**2*b**2*d*g**3 - 4*a*b**3*c*g**3))","B",0
135,1,1561,0,34.025015," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(b*g*x+a*g)**4,x)","- \frac{4 B d^{3} \left(3 A + 11 B\right) \log{\left(x + \frac{12 A B a d^{4} + 12 A B b c d^{3} + 44 B^{2} a d^{4} + 44 B^{2} b c d^{3} - \frac{4 B a^{4} d^{7} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{16 B a^{3} b c d^{6} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{24 B a^{2} b^{2} c^{2} d^{5} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{16 B a b^{3} c^{3} d^{4} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B b^{4} c^{4} d^{3} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}}}{24 A B b d^{4} + 88 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{4 B d^{3} \left(3 A + 11 B\right) \log{\left(x + \frac{12 A B a d^{4} + 12 A B b c d^{3} + 44 B^{2} a d^{4} + 44 B^{2} b c d^{3} + \frac{4 B a^{4} d^{7} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{16 B a^{3} b c d^{6} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{24 B a^{2} b^{2} c^{2} d^{5} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{16 B a b^{3} c^{3} d^{4} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B b^{4} c^{4} d^{3} \left(3 A + 11 B\right)}{\left(a d - b c\right)^{3}}}{24 A B b d^{4} + 88 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{\left(3 B^{2} a^{2} c d^{2} + 3 B^{2} a^{2} d^{3} x - 3 B^{2} a b c^{2} d + 3 B^{2} a b d^{3} x^{2} + B^{2} b^{2} c^{3} + B^{2} b^{2} d^{3} x^{3}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}^{2}}{3 a^{6} d^{3} g^{4} - 9 a^{5} b c d^{2} g^{4} + 9 a^{5} b d^{3} g^{4} x + 9 a^{4} b^{2} c^{2} d g^{4} - 27 a^{4} b^{2} c d^{2} g^{4} x + 9 a^{4} b^{2} d^{3} g^{4} x^{2} - 3 a^{3} b^{3} c^{3} g^{4} + 27 a^{3} b^{3} c^{2} d g^{4} x - 27 a^{3} b^{3} c d^{2} g^{4} x^{2} + 3 a^{3} b^{3} d^{3} g^{4} x^{3} - 9 a^{2} b^{4} c^{3} g^{4} x + 27 a^{2} b^{4} c^{2} d g^{4} x^{2} - 9 a^{2} b^{4} c d^{2} g^{4} x^{3} - 9 a b^{5} c^{3} g^{4} x^{2} + 9 a b^{5} c^{2} d g^{4} x^{3} - 3 b^{6} c^{3} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} + 12 A B a b c d - 6 A B b^{2} c^{2} - 22 B^{2} a^{2} d^{2} + 14 B^{2} a b c d - 30 B^{2} a b d^{2} x - 4 B^{2} b^{2} c^{2} + 6 B^{2} b^{2} c d x - 12 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 27 a^{4} b^{2} d^{2} g^{4} x + 9 a^{3} b^{3} c^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} x + 27 a^{3} b^{3} d^{2} g^{4} x^{2} + 27 a^{2} b^{4} c^{2} g^{4} x - 54 a^{2} b^{4} c d g^{4} x^{2} + 9 a^{2} b^{4} d^{2} g^{4} x^{3} + 27 a b^{5} c^{2} g^{4} x^{2} - 18 a b^{5} c d g^{4} x^{3} + 9 b^{6} c^{2} g^{4} x^{3}} - \frac{9 A^{2} a^{2} d^{2} - 18 A^{2} a b c d + 9 A^{2} b^{2} c^{2} + 66 A B a^{2} d^{2} - 42 A B a b c d + 12 A B b^{2} c^{2} + 170 B^{2} a^{2} d^{2} - 46 B^{2} a b c d + 8 B^{2} b^{2} c^{2} + x^{2} \left(36 A B b^{2} d^{2} + 132 B^{2} b^{2} d^{2}\right) + x \left(90 A B a b d^{2} - 18 A B b^{2} c d + 294 B^{2} a b d^{2} - 30 B^{2} b^{2} c d\right)}{27 a^{5} b d^{2} g^{4} - 54 a^{4} b^{2} c d g^{4} + 27 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(27 a^{2} b^{4} d^{2} g^{4} - 54 a b^{5} c d g^{4} + 27 b^{6} c^{2} g^{4}\right) + x^{2} \left(81 a^{3} b^{3} d^{2} g^{4} - 162 a^{2} b^{4} c d g^{4} + 81 a b^{5} c^{2} g^{4}\right) + x \left(81 a^{4} b^{2} d^{2} g^{4} - 162 a^{3} b^{3} c d g^{4} + 81 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-4*B*d**3*(3*A + 11*B)*log(x + (12*A*B*a*d**4 + 12*A*B*b*c*d**3 + 44*B**2*a*d**4 + 44*B**2*b*c*d**3 - 4*B*a**4*d**7*(3*A + 11*B)/(a*d - b*c)**3 + 16*B*a**3*b*c*d**6*(3*A + 11*B)/(a*d - b*c)**3 - 24*B*a**2*b**2*c**2*d**5*(3*A + 11*B)/(a*d - b*c)**3 + 16*B*a*b**3*c**3*d**4*(3*A + 11*B)/(a*d - b*c)**3 - 4*B*b**4*c**4*d**3*(3*A + 11*B)/(a*d - b*c)**3)/(24*A*B*b*d**4 + 88*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + 4*B*d**3*(3*A + 11*B)*log(x + (12*A*B*a*d**4 + 12*A*B*b*c*d**3 + 44*B**2*a*d**4 + 44*B**2*b*c*d**3 + 4*B*a**4*d**7*(3*A + 11*B)/(a*d - b*c)**3 - 16*B*a**3*b*c*d**6*(3*A + 11*B)/(a*d - b*c)**3 + 24*B*a**2*b**2*c**2*d**5*(3*A + 11*B)/(a*d - b*c)**3 - 16*B*a*b**3*c**3*d**4*(3*A + 11*B)/(a*d - b*c)**3 + 4*B*b**4*c**4*d**3*(3*A + 11*B)/(a*d - b*c)**3)/(24*A*B*b*d**4 + 88*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + (3*B**2*a**2*c*d**2 + 3*B**2*a**2*d**3*x - 3*B**2*a*b*c**2*d + 3*B**2*a*b*d**3*x**2 + B**2*b**2*c**3 + B**2*b**2*d**3*x**3)*log(e*(a + b*x)**2/(c + d*x)**2)**2/(3*a**6*d**3*g**4 - 9*a**5*b*c*d**2*g**4 + 9*a**5*b*d**3*g**4*x + 9*a**4*b**2*c**2*d*g**4 - 27*a**4*b**2*c*d**2*g**4*x + 9*a**4*b**2*d**3*g**4*x**2 - 3*a**3*b**3*c**3*g**4 + 27*a**3*b**3*c**2*d*g**4*x - 27*a**3*b**3*c*d**2*g**4*x**2 + 3*a**3*b**3*d**3*g**4*x**3 - 9*a**2*b**4*c**3*g**4*x + 27*a**2*b**4*c**2*d*g**4*x**2 - 9*a**2*b**4*c*d**2*g**4*x**3 - 9*a*b**5*c**3*g**4*x**2 + 9*a*b**5*c**2*d*g**4*x**3 - 3*b**6*c**3*g**4*x**3) + (-6*A*B*a**2*d**2 + 12*A*B*a*b*c*d - 6*A*B*b**2*c**2 - 22*B**2*a**2*d**2 + 14*B**2*a*b*c*d - 30*B**2*a*b*d**2*x - 4*B**2*b**2*c**2 + 6*B**2*b**2*c*d*x - 12*B**2*b**2*d**2*x**2)*log(e*(a + b*x)**2/(c + d*x)**2)/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 27*a**4*b**2*d**2*g**4*x + 9*a**3*b**3*c**2*g**4 - 54*a**3*b**3*c*d*g**4*x + 27*a**3*b**3*d**2*g**4*x**2 + 27*a**2*b**4*c**2*g**4*x - 54*a**2*b**4*c*d*g**4*x**2 + 9*a**2*b**4*d**2*g**4*x**3 + 27*a*b**5*c**2*g**4*x**2 - 18*a*b**5*c*d*g**4*x**3 + 9*b**6*c**2*g**4*x**3) - (9*A**2*a**2*d**2 - 18*A**2*a*b*c*d + 9*A**2*b**2*c**2 + 66*A*B*a**2*d**2 - 42*A*B*a*b*c*d + 12*A*B*b**2*c**2 + 170*B**2*a**2*d**2 - 46*B**2*a*b*c*d + 8*B**2*b**2*c**2 + x**2*(36*A*B*b**2*d**2 + 132*B**2*b**2*d**2) + x*(90*A*B*a*b*d**2 - 18*A*B*b**2*c*d + 294*B**2*a*b*d**2 - 30*B**2*b**2*c*d))/(27*a**5*b*d**2*g**4 - 54*a**4*b**2*c*d*g**4 + 27*a**3*b**3*c**2*g**4 + x**3*(27*a**2*b**4*d**2*g**4 - 54*a*b**5*c*d*g**4 + 27*b**6*c**2*g**4) + x**2*(81*a**3*b**3*d**2*g**4 - 162*a**2*b**4*c*d*g**4 + 81*a*b**5*c**2*g**4) + x*(81*a**4*b**2*d**2*g**4 - 162*a**3*b**3*c*d*g**4 + 81*a**2*b**4*c**2*g**4))","B",0
136,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
137,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","g^{2} \left(\int \frac{a^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{b^{2} x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 a b x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(b**2*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*a*b*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))","F",0
138,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","g \left(\int \frac{a}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{b x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx\right)"," ",0,"g*(Integral(a/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(b*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))","F",0
139,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{\int \frac{1}{A a + A b x + B a \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + B b x \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*a + A*b*x + B*a*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + B*b*x*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)/g","F",0
140,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + 2 B a b x \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + B b^{2} x^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + 2*B*a*b*x*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + B*b**2*x**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)/g**2","F",0
141,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{\int \frac{1}{A a^{3} + 3 A a^{2} b x + 3 A a b^{2} x^{2} + A b^{3} x^{3} + B a^{3} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + 3 B a^{2} b x \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + 3 B a b^{2} x^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + B b^{3} x^{3} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{g^{3}}"," ",0,"Integral(1/(A*a**3 + 3*A*a**2*b*x + 3*A*a*b**2*x**2 + A*b**3*x**3 + B*a**3*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + 3*B*a**2*b*x*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + 3*B*a*b**2*x**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + B*b**3*x**3*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)/g**3","F",0
142,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{a^{3} c g^{2} + a^{3} d g^{2} x + 3 a^{2} b c g^{2} x + 3 a^{2} b d g^{2} x^{2} + 3 a b^{2} c g^{2} x^{2} + 3 a b^{2} d g^{2} x^{3} + b^{3} c g^{2} x^{3} + b^{3} d g^{2} x^{4}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{g^{2} \left(\int \frac{a^{3} d}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 a^{2} b c}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 b^{3} c x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{4 b^{3} d x^{3}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{6 a b^{2} c x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{9 a b^{2} d x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{6 a^{2} b d x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx\right)}{2 B \left(a d - b c\right)}"," ",0,"(a**3*c*g**2 + a**3*d*g**2*x + 3*a**2*b*c*g**2*x + 3*a**2*b*d*g**2*x**2 + 3*a*b**2*c*g**2*x**2 + 3*a*b**2*d*g**2*x**3 + b**3*c*g**2*x**3 + b**3*d*g**2*x**4)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)**2/(c + d*x)**2)) - g**2*(Integral(a**3*d/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*a**2*b*c/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*b**3*c*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(4*b**3*d*x**3/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(6*a*b**2*c*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(9*a*b**2*d*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(6*a**2*b*d*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
143,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{a^{2} c g + a^{2} d g x + 2 a b c g x + 2 a b d g x^{2} + b^{2} c g x^{2} + b^{2} d g x^{3}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{g \left(\int \frac{a^{2} d}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 a b c}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 b^{2} c x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 b^{2} d x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{4 a b d x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx\right)}{2 B \left(a d - b c\right)}"," ",0,"(a**2*c*g + a**2*d*g*x + 2*a*b*c*g*x + 2*a*b*d*g*x**2 + b**2*c*g*x**2 + b**2*d*g*x**3)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)**2/(c + d*x)**2)) - g*(Integral(a**2*d/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*a*b*c/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*b**2*c*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*b**2*d*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(4*a*b*d*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
144,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{c + d x}{2 A B a d g - 2 A B b c g + \left(2 B^{2} a d g - 2 B^{2} b c g\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{d \int \frac{1}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{2 B g \left(a d - b c\right)}"," ",0,"(c + d*x)/(2*A*B*a*d*g - 2*A*B*b*c*g + (2*B**2*a*d*g - 2*B**2*b*c*g)*log(e*(a + b*x)**2/(c + d*x)**2)) - d*Integral(1/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)/(2*B*g*(a*d - b*c))","F",0
145,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{c + d x}{2 A B a^{2} d g^{2} - 2 A B a b c g^{2} + 2 A B a b d g^{2} x - 2 A B b^{2} c g^{2} x + \left(2 B^{2} a^{2} d g^{2} - 2 B^{2} a b c g^{2} + 2 B^{2} a b d g^{2} x - 2 B^{2} b^{2} c g^{2} x\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + 2 B a b x \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)} + B b^{2} x^{2} \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{2 B g^{2}}"," ",0,"(c + d*x)/(2*A*B*a**2*d*g**2 - 2*A*B*a*b*c*g**2 + 2*A*B*a*b*d*g**2*x - 2*A*B*b**2*c*g**2*x + (2*B**2*a**2*d*g**2 - 2*B**2*a*b*c*g**2 + 2*B**2*a*b*d*g**2*x - 2*B**2*b**2*c*g**2*x)*log(e*(a + b*x)**2/(c + d*x)**2)) - Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + 2*B*a*b*x*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)) + B*b**2*x**2*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)/(2*B*g**2)","F",0
146,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
147,-2,0,0,0.000000," ","integrate((b*x+a)**4*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
148,-2,0,0,0.000000," ","integrate((b*x+a)**3*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
149,-2,0,0,0.000000," ","integrate((b*x+a)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
150,-2,0,0,0.000000," ","integrate((b*x+a)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
151,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a),x)","\int \frac{A + B \log{\left(e \left(a + b x\right)^{n} \left(c + d x\right)^{- n} \right)}}{a + b x}\, dx"," ",0,"Integral((A + B*log(e*(a + b*x)**n*(c + d*x)**(-n)))/(a + b*x), x)","F",0
152,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
153,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(b*x+a)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-2,0,0,0.000000," ","integrate((b*x+a)**3*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
157,-2,0,0,0.000000," ","integrate((b*x+a)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
158,-2,0,0,0.000000," ","integrate((b*x+a)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
159,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a),x)","\int \frac{\left(A + B \log{\left(e \left(a + b x\right)^{n} \left(c + d x\right)^{- n} \right)}\right)^{2}}{a + b x}\, dx"," ",0,"Integral((A + B*log(e*(a + b*x)**n*(c + d*x)**(-n)))**2/(a + b*x), x)","F",0
160,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
161,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(b*x+a)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
164,-2,0,0,0.000000," ","integrate((b*x+a)**3*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
165,-2,0,0,0.000000," ","integrate((b*x+a)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
166,-2,0,0,0.000000," ","integrate((b*x+a)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
167,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
168,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
169,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(b*x+a)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
172,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
173,1,969,0,6.522602," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{A b^{4} g^{4} x^{5}}{5} - \frac{B a^{5} g^{4} \log{\left(x + \frac{\frac{B a^{6} d^{5} g^{4}}{b} + 5 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c^{2} d^{3} g^{4} + 10 B a^{3} b^{2} c^{3} d^{2} g^{4} - 5 B a^{2} b^{3} c^{4} d g^{4} + B a b^{4} c^{5} g^{4}}{B a^{5} d^{5} g^{4} + 5 B a^{4} b c d^{4} g^{4} - 10 B a^{3} b^{2} c^{2} d^{3} g^{4} + 10 B a^{2} b^{3} c^{3} d^{2} g^{4} - 5 B a b^{4} c^{4} d g^{4} + B b^{5} c^{5} g^{4}} \right)}}{5 b} + \frac{B c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) \log{\left(x + \frac{6 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c^{2} d^{3} g^{4} + 10 B a^{3} b^{2} c^{3} d^{2} g^{4} - 5 B a^{2} b^{3} c^{4} d g^{4} + B a b^{4} c^{5} g^{4} - B a c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) + \frac{B b c^{2} g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right)}{d}}{B a^{5} d^{5} g^{4} + 5 B a^{4} b c d^{4} g^{4} - 10 B a^{3} b^{2} c^{2} d^{3} g^{4} + 10 B a^{2} b^{3} c^{3} d^{2} g^{4} - 5 B a b^{4} c^{4} d g^{4} + B b^{5} c^{5} g^{4}} \right)}}{5 d^{5}} + x^{4} \left(A a b^{3} g^{4} - \frac{B a b^{3} g^{4}}{20} + \frac{B b^{4} c g^{4}}{20 d}\right) + x^{3} \left(2 A a^{2} b^{2} g^{4} - \frac{4 B a^{2} b^{2} g^{4}}{15} + \frac{B a b^{3} c g^{4}}{3 d} - \frac{B b^{4} c^{2} g^{4}}{15 d^{2}}\right) + x^{2} \left(2 A a^{3} b g^{4} - \frac{3 B a^{3} b g^{4}}{5} + \frac{B a^{2} b^{2} c g^{4}}{d} - \frac{B a b^{3} c^{2} g^{4}}{2 d^{2}} + \frac{B b^{4} c^{3} g^{4}}{10 d^{3}}\right) + x \left(A a^{4} g^{4} - \frac{4 B a^{4} g^{4}}{5} + \frac{2 B a^{3} b c g^{4}}{d} - \frac{2 B a^{2} b^{2} c^{2} g^{4}}{d^{2}} + \frac{B a b^{3} c^{3} g^{4}}{d^{3}} - \frac{B b^{4} c^{4} g^{4}}{5 d^{4}}\right) + \left(B a^{4} g^{4} x + 2 B a^{3} b g^{4} x^{2} + 2 B a^{2} b^{2} g^{4} x^{3} + B a b^{3} g^{4} x^{4} + \frac{B b^{4} g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}"," ",0,"A*b**4*g**4*x**5/5 - B*a**5*g**4*log(x + (B*a**6*d**5*g**4/b + 5*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c**2*d**3*g**4 + 10*B*a**3*b**2*c**3*d**2*g**4 - 5*B*a**2*b**3*c**4*d*g**4 + B*a*b**4*c**5*g**4)/(B*a**5*d**5*g**4 + 5*B*a**4*b*c*d**4*g**4 - 10*B*a**3*b**2*c**2*d**3*g**4 + 10*B*a**2*b**3*c**3*d**2*g**4 - 5*B*a*b**4*c**4*d*g**4 + B*b**5*c**5*g**4))/(5*b) + B*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)*log(x + (6*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c**2*d**3*g**4 + 10*B*a**3*b**2*c**3*d**2*g**4 - 5*B*a**2*b**3*c**4*d*g**4 + B*a*b**4*c**5*g**4 - B*a*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4) + B*b*c**2*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)/d)/(B*a**5*d**5*g**4 + 5*B*a**4*b*c*d**4*g**4 - 10*B*a**3*b**2*c**2*d**3*g**4 + 10*B*a**2*b**3*c**3*d**2*g**4 - 5*B*a*b**4*c**4*d*g**4 + B*b**5*c**5*g**4))/(5*d**5) + x**4*(A*a*b**3*g**4 - B*a*b**3*g**4/20 + B*b**4*c*g**4/(20*d)) + x**3*(2*A*a**2*b**2*g**4 - 4*B*a**2*b**2*g**4/15 + B*a*b**3*c*g**4/(3*d) - B*b**4*c**2*g**4/(15*d**2)) + x**2*(2*A*a**3*b*g**4 - 3*B*a**3*b*g**4/5 + B*a**2*b**2*c*g**4/d - B*a*b**3*c**2*g**4/(2*d**2) + B*b**4*c**3*g**4/(10*d**3)) + x*(A*a**4*g**4 - 4*B*a**4*g**4/5 + 2*B*a**3*b*c*g**4/d - 2*B*a**2*b**2*c**2*g**4/d**2 + B*a*b**3*c**3*g**4/d**3 - B*b**4*c**4*g**4/(5*d**4)) + (B*a**4*g**4*x + 2*B*a**3*b*g**4*x**2 + 2*B*a**2*b**2*g**4*x**3 + B*a*b**3*g**4*x**4 + B*b**4*g**4*x**5/5)*log(e*(c + d*x)/(a + b*x))","B",0
174,1,706,0,4.345425," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{A b^{3} g^{3} x^{4}}{4} - \frac{B a^{4} g^{3} \log{\left(x + \frac{\frac{B a^{5} d^{4} g^{3}}{b} + 4 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{4 b} + \frac{B c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{5 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3} - B a c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right)}{d}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{4 d^{4}} + x^{3} \left(A a b^{2} g^{3} - \frac{B a b^{2} g^{3}}{12} + \frac{B b^{3} c g^{3}}{12 d}\right) + x^{2} \left(\frac{3 A a^{2} b g^{3}}{2} - \frac{3 B a^{2} b g^{3}}{8} + \frac{B a b^{2} c g^{3}}{2 d} - \frac{B b^{3} c^{2} g^{3}}{8 d^{2}}\right) + x \left(A a^{3} g^{3} - \frac{3 B a^{3} g^{3}}{4} + \frac{3 B a^{2} b c g^{3}}{2 d} - \frac{B a b^{2} c^{2} g^{3}}{d^{2}} + \frac{B b^{3} c^{3} g^{3}}{4 d^{3}}\right) + \left(B a^{3} g^{3} x + \frac{3 B a^{2} b g^{3} x^{2}}{2} + B a b^{2} g^{3} x^{3} + \frac{B b^{3} g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}"," ",0,"A*b**3*g**3*x**4/4 - B*a**4*g**3*log(x + (B*a**5*d**4*g**3/b + 4*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(4*b) + B*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)*log(x + (5*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3 - B*a*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2) + B*b*c**2*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)/d)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(4*d**4) + x**3*(A*a*b**2*g**3 - B*a*b**2*g**3/12 + B*b**3*c*g**3/(12*d)) + x**2*(3*A*a**2*b*g**3/2 - 3*B*a**2*b*g**3/8 + B*a*b**2*c*g**3/(2*d) - B*b**3*c**2*g**3/(8*d**2)) + x*(A*a**3*g**3 - 3*B*a**3*g**3/4 + 3*B*a**2*b*c*g**3/(2*d) - B*a*b**2*c**2*g**3/d**2 + B*b**3*c**3*g**3/(4*d**3)) + (B*a**3*g**3*x + 3*B*a**2*b*g**3*x**2/2 + B*a*b**2*g**3*x**3 + B*b**3*g**3*x**4/4)*log(e*(c + d*x)/(a + b*x))","B",0
175,1,491,0,2.909539," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{A b^{2} g^{2} x^{3}}{3} - \frac{B a^{3} g^{2} \log{\left(x + \frac{\frac{B a^{4} d^{3} g^{2}}{b} + 3 B a^{3} c d^{2} g^{2} - 3 B a^{2} b c^{2} d g^{2} + B a b^{2} c^{3} g^{2}}{B a^{3} d^{3} g^{2} + 3 B a^{2} b c d^{2} g^{2} - 3 B a b^{2} c^{2} d g^{2} + B b^{3} c^{3} g^{2}} \right)}}{3 b} + \frac{B c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{4 B a^{3} c d^{2} g^{2} - 3 B a^{2} b c^{2} d g^{2} + B a b^{2} c^{3} g^{2} - B a c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{d}}{B a^{3} d^{3} g^{2} + 3 B a^{2} b c d^{2} g^{2} - 3 B a b^{2} c^{2} d g^{2} + B b^{3} c^{3} g^{2}} \right)}}{3 d^{3}} + x^{2} \left(A a b g^{2} - \frac{B a b g^{2}}{6} + \frac{B b^{2} c g^{2}}{6 d}\right) + x \left(A a^{2} g^{2} - \frac{2 B a^{2} g^{2}}{3} + \frac{B a b c g^{2}}{d} - \frac{B b^{2} c^{2} g^{2}}{3 d^{2}}\right) + \left(B a^{2} g^{2} x + B a b g^{2} x^{2} + \frac{B b^{2} g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}"," ",0,"A*b**2*g**2*x**3/3 - B*a**3*g**2*log(x + (B*a**4*d**3*g**2/b + 3*B*a**3*c*d**2*g**2 - 3*B*a**2*b*c**2*d*g**2 + B*a*b**2*c**3*g**2)/(B*a**3*d**3*g**2 + 3*B*a**2*b*c*d**2*g**2 - 3*B*a*b**2*c**2*d*g**2 + B*b**3*c**3*g**2))/(3*b) + B*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (4*B*a**3*c*d**2*g**2 - 3*B*a**2*b*c**2*d*g**2 + B*a*b**2*c**3*g**2 - B*a*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2) + B*b*c**2*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/d)/(B*a**3*d**3*g**2 + 3*B*a**2*b*c*d**2*g**2 - 3*B*a*b**2*c**2*d*g**2 + B*b**3*c**3*g**2))/(3*d**3) + x**2*(A*a*b*g**2 - B*a*b*g**2/6 + B*b**2*c*g**2/(6*d)) + x*(A*a**2*g**2 - 2*B*a**2*g**2/3 + B*a*b*c*g**2/d - B*b**2*c**2*g**2/(3*d**2)) + (B*a**2*g**2*x + B*a*b*g**2*x**2 + B*b**2*g**2*x**3/3)*log(e*(c + d*x)/(a + b*x))","B",0
176,1,253,0,1.916950," ","integrate((b*g*x+a*g)*(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{A b g x^{2}}{2} - \frac{B a^{2} g \log{\left(x + \frac{\frac{B a^{3} d^{2} g}{b} + 2 B a^{2} c d g - B a b c^{2} g}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{2 b} + \frac{B c g \left(2 a d - b c\right) \log{\left(x + \frac{3 B a^{2} c d g - B a b c^{2} g - B a c g \left(2 a d - b c\right) + \frac{B b c^{2} g \left(2 a d - b c\right)}{d}}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{2 d^{2}} + x \left(A a g - \frac{B a g}{2} + \frac{B b c g}{2 d}\right) + \left(B a g x + \frac{B b g x^{2}}{2}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}"," ",0,"A*b*g*x**2/2 - B*a**2*g*log(x + (B*a**3*d**2*g/b + 2*B*a**2*c*d*g - B*a*b*c**2*g)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/(2*b) + B*c*g*(2*a*d - b*c)*log(x + (3*B*a**2*c*d*g - B*a*b*c**2*g - B*a*c*g*(2*a*d - b*c) + B*b*c**2*g*(2*a*d - b*c)/d)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/(2*d**2) + x*(A*a*g - B*a*g/2 + B*b*c*g/(2*d)) + (B*a*g*x + B*b*g*x**2/2)*log(e*(c + d*x)/(a + b*x))","B",0
177,0,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g),x)","\frac{\int \frac{A}{a + b x}\, dx + \int \frac{B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A/(a + b*x), x) + Integral(B*log(c*e/(a + b*x) + d*e*x/(a + b*x))/(a + b*x), x))/g","F",0
178,1,231,0,1.539312," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)**2,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{a b g^{2} + b^{2} g^{2} x} + \frac{B d \log{\left(x + \frac{- \frac{B a^{2} d^{3}}{a d - b c} + \frac{2 B a b c d^{2}}{a d - b c} + B a d^{2} - \frac{B b^{2} c^{2} d}{a d - b c} + B b c d}{2 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} - \frac{B d \log{\left(x + \frac{\frac{B a^{2} d^{3}}{a d - b c} - \frac{2 B a b c d^{2}}{a d - b c} + B a d^{2} + \frac{B b^{2} c^{2} d}{a d - b c} + B b c d}{2 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{- A + B}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-B*log(e*(c + d*x)/(a + b*x))/(a*b*g**2 + b**2*g**2*x) + B*d*log(x + (-B*a**2*d**3/(a*d - b*c) + 2*B*a*b*c*d**2/(a*d - b*c) + B*a*d**2 - B*b**2*c**2*d/(a*d - b*c) + B*b*c*d)/(2*B*b*d**2))/(b*g**2*(a*d - b*c)) - B*d*log(x + (B*a**2*d**3/(a*d - b*c) - 2*B*a*b*c*d**2/(a*d - b*c) + B*a*d**2 + B*b**2*c**2*d/(a*d - b*c) + B*b*c*d)/(2*B*b*d**2))/(b*g**2*(a*d - b*c)) + (-A + B)/(a*b*g**2 + b**2*g**2*x)","B",0
179,1,422,0,2.684475," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)**3,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{2 a^{2} b g^{3} + 4 a b^{2} g^{3} x + 2 b^{3} g^{3} x^{2}} + \frac{B d^{2} \log{\left(x + \frac{- \frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} + \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} - \frac{B d^{2} \log{\left(x + \frac{\frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} - \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{- 2 A a d + 2 A b c + 3 B a d - B b c + 2 B b d x}{4 a^{3} b d g^{3} - 4 a^{2} b^{2} c g^{3} + x^{2} \left(4 a b^{3} d g^{3} - 4 b^{4} c g^{3}\right) + x \left(8 a^{2} b^{2} d g^{3} - 8 a b^{3} c g^{3}\right)}"," ",0,"-B*log(e*(c + d*x)/(a + b*x))/(2*a**2*b*g**3 + 4*a*b**2*g**3*x + 2*b**3*g**3*x**2) + B*d**2*log(x + (-B*a**3*d**5/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 + B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(2*b*g**3*(a*d - b*c)**2) - B*d**2*log(x + (B*a**3*d**5/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 - B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + (-2*A*a*d + 2*A*b*c + 3*B*a*d - B*b*c + 2*B*b*d*x)/(4*a**3*b*d*g**3 - 4*a**2*b**2*c*g**3 + x**2*(4*a*b**3*d*g**3 - 4*b**4*c*g**3) + x*(8*a**2*b**2*d*g**3 - 8*a*b**3*c*g**3))","B",0
180,1,656,0,4.060616," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)**4,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{3 a^{3} b g^{4} + 9 a^{2} b^{2} g^{4} x + 9 a b^{3} g^{4} x^{2} + 3 b^{4} g^{4} x^{3}} + \frac{B d^{3} \log{\left(x + \frac{- \frac{B a^{4} d^{7}}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + B a d^{4} - \frac{B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + B b c d^{3}}{2 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} - \frac{B d^{3} \log{\left(x + \frac{\frac{B a^{4} d^{7}}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + B a d^{4} + \frac{B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + B b c d^{3}}{2 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{- 6 A a^{2} d^{2} + 12 A a b c d - 6 A b^{2} c^{2} + 11 B a^{2} d^{2} - 7 B a b c d + 2 B b^{2} c^{2} + 6 B b^{2} d^{2} x^{2} + x \left(15 B a b d^{2} - 3 B b^{2} c d\right)}{18 a^{5} b d^{2} g^{4} - 36 a^{4} b^{2} c d g^{4} + 18 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(18 a^{2} b^{4} d^{2} g^{4} - 36 a b^{5} c d g^{4} + 18 b^{6} c^{2} g^{4}\right) + x^{2} \left(54 a^{3} b^{3} d^{2} g^{4} - 108 a^{2} b^{4} c d g^{4} + 54 a b^{5} c^{2} g^{4}\right) + x \left(54 a^{4} b^{2} d^{2} g^{4} - 108 a^{3} b^{3} c d g^{4} + 54 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-B*log(e*(c + d*x)/(a + b*x))/(3*a**3*b*g**4 + 9*a**2*b**2*g**4*x + 9*a*b**3*g**4*x**2 + 3*b**4*g**4*x**3) + B*d**3*log(x + (-B*a**4*d**7/(a*d - b*c)**3 + 4*B*a**3*b*c*d**6/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + B*a*d**4 - B*b**4*c**4*d**3/(a*d - b*c)**3 + B*b*c*d**3)/(2*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) - B*d**3*log(x + (B*a**4*d**7/(a*d - b*c)**3 - 4*B*a**3*b*c*d**6/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + B*a*d**4 + B*b**4*c**4*d**3/(a*d - b*c)**3 + B*b*c*d**3)/(2*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + (-6*A*a**2*d**2 + 12*A*a*b*c*d - 6*A*b**2*c**2 + 11*B*a**2*d**2 - 7*B*a*b*c*d + 2*B*b**2*c**2 + 6*B*b**2*d**2*x**2 + x*(15*B*a*b*d**2 - 3*B*b**2*c*d))/(18*a**5*b*d**2*g**4 - 36*a**4*b**2*c*d*g**4 + 18*a**3*b**3*c**2*g**4 + x**3*(18*a**2*b**4*d**2*g**4 - 36*a*b**5*c*d*g**4 + 18*b**6*c**2*g**4) + x**2*(54*a**3*b**3*d**2*g**4 - 108*a**2*b**4*c*d*g**4 + 54*a*b**5*c**2*g**4) + x*(54*a**4*b**2*d**2*g**4 - 108*a**3*b**3*c*d*g**4 + 54*a**2*b**4*c**2*g**4))","B",0
181,1,944,0,5.534351," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))/(b*g*x+a*g)**5,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{4 a^{4} b g^{5} + 16 a^{3} b^{2} g^{5} x + 24 a^{2} b^{3} g^{5} x^{2} + 16 a b^{4} g^{5} x^{3} + 4 b^{5} g^{5} x^{4}} + \frac{B d^{4} \log{\left(x + \frac{- \frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} + \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} - \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} + \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{4 b g^{5} \left(a d - b c\right)^{4}} - \frac{B d^{4} \log{\left(x + \frac{\frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} - \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} + \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} - \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{4 b g^{5} \left(a d - b c\right)^{4}} + \frac{- 12 A a^{3} d^{3} + 36 A a^{2} b c d^{2} - 36 A a b^{2} c^{2} d + 12 A b^{3} c^{3} + 25 B a^{3} d^{3} - 23 B a^{2} b c d^{2} + 13 B a b^{2} c^{2} d - 3 B b^{3} c^{3} + 12 B b^{3} d^{3} x^{3} + x^{2} \left(42 B a b^{2} d^{3} - 6 B b^{3} c d^{2}\right) + x \left(52 B a^{2} b d^{3} - 20 B a b^{2} c d^{2} + 4 B b^{3} c^{2} d\right)}{48 a^{7} b d^{3} g^{5} - 144 a^{6} b^{2} c d^{2} g^{5} + 144 a^{5} b^{3} c^{2} d g^{5} - 48 a^{4} b^{4} c^{3} g^{5} + x^{4} \left(48 a^{3} b^{5} d^{3} g^{5} - 144 a^{2} b^{6} c d^{2} g^{5} + 144 a b^{7} c^{2} d g^{5} - 48 b^{8} c^{3} g^{5}\right) + x^{3} \left(192 a^{4} b^{4} d^{3} g^{5} - 576 a^{3} b^{5} c d^{2} g^{5} + 576 a^{2} b^{6} c^{2} d g^{5} - 192 a b^{7} c^{3} g^{5}\right) + x^{2} \left(288 a^{5} b^{3} d^{3} g^{5} - 864 a^{4} b^{4} c d^{2} g^{5} + 864 a^{3} b^{5} c^{2} d g^{5} - 288 a^{2} b^{6} c^{3} g^{5}\right) + x \left(192 a^{6} b^{2} d^{3} g^{5} - 576 a^{5} b^{3} c d^{2} g^{5} + 576 a^{4} b^{4} c^{2} d g^{5} - 192 a^{3} b^{5} c^{3} g^{5}\right)}"," ",0,"-B*log(e*(c + d*x)/(a + b*x))/(4*a**4*b*g**5 + 16*a**3*b**2*g**5*x + 24*a**2*b**3*g**5*x**2 + 16*a*b**4*g**5*x**3 + 4*b**5*g**5*x**4) + B*d**4*log(x + (-B*a**5*d**9/(a*d - b*c)**4 + 5*B*a**4*b*c*d**8/(a*d - b*c)**4 - 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 + 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 - 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 + B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(4*b*g**5*(a*d - b*c)**4) - B*d**4*log(x + (B*a**5*d**9/(a*d - b*c)**4 - 5*B*a**4*b*c*d**8/(a*d - b*c)**4 + 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 - 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 + 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 - B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(4*b*g**5*(a*d - b*c)**4) + (-12*A*a**3*d**3 + 36*A*a**2*b*c*d**2 - 36*A*a*b**2*c**2*d + 12*A*b**3*c**3 + 25*B*a**3*d**3 - 23*B*a**2*b*c*d**2 + 13*B*a*b**2*c**2*d - 3*B*b**3*c**3 + 12*B*b**3*d**3*x**3 + x**2*(42*B*a*b**2*d**3 - 6*B*b**3*c*d**2) + x*(52*B*a**2*b*d**3 - 20*B*a*b**2*c*d**2 + 4*B*b**3*c**2*d))/(48*a**7*b*d**3*g**5 - 144*a**6*b**2*c*d**2*g**5 + 144*a**5*b**3*c**2*d*g**5 - 48*a**4*b**4*c**3*g**5 + x**4*(48*a**3*b**5*d**3*g**5 - 144*a**2*b**6*c*d**2*g**5 + 144*a*b**7*c**2*d*g**5 - 48*b**8*c**3*g**5) + x**3*(192*a**4*b**4*d**3*g**5 - 576*a**3*b**5*c*d**2*g**5 + 576*a**2*b**6*c**2*d*g**5 - 192*a*b**7*c**3*g**5) + x**2*(288*a**5*b**3*d**3*g**5 - 864*a**4*b**4*c*d**2*g**5 + 864*a**3*b**5*c**2*d*g**5 - 288*a**2*b**6*c**3*g**5) + x*(192*a**6*b**2*d**3*g**5 - 576*a**5*b**3*c*d**2*g**5 + 576*a**4*b**4*c**2*d*g**5 - 192*a**3*b**5*c**3*g**5))","B",0
182,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
183,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,0,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))**2/(b*g*x+a*g),x)","\frac{\int \frac{A^{2}}{a + b x}\, dx + \int \frac{B^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A**2/(a + b*x), x) + Integral(B**2*log(c*e/(a + b*x) + d*e*x/(a + b*x))**2/(a + b*x), x) + Integral(2*A*B*log(c*e/(a + b*x) + d*e*x/(a + b*x))/(a + b*x), x))/g","F",0
187,1,430,0,3.749000," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))**2/(b*g*x+a*g)**2,x)","\frac{2 B d \left(A - B\right) \log{\left(x + \frac{2 A B a d^{2} + 2 A B b c d - 2 B^{2} a d^{2} - 2 B^{2} b c d - \frac{2 B a^{2} d^{3} \left(A - B\right)}{a d - b c} + \frac{4 B a b c d^{2} \left(A - B\right)}{a d - b c} - \frac{2 B b^{2} c^{2} d \left(A - B\right)}{a d - b c}}{4 A B b d^{2} - 4 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} - \frac{2 B d \left(A - B\right) \log{\left(x + \frac{2 A B a d^{2} + 2 A B b c d - 2 B^{2} a d^{2} - 2 B^{2} b c d + \frac{2 B a^{2} d^{3} \left(A - B\right)}{a d - b c} - \frac{4 B a b c d^{2} \left(A - B\right)}{a d - b c} + \frac{2 B b^{2} c^{2} d \left(A - B\right)}{a d - b c}}{4 A B b d^{2} - 4 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{\left(- 2 A B + 2 B^{2}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{a b g^{2} + b^{2} g^{2} x} + \frac{\left(B^{2} c + B^{2} d x\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}^{2}}{a^{2} d g^{2} - a b c g^{2} + a b d g^{2} x - b^{2} c g^{2} x} + \frac{- A^{2} + 2 A B - 2 B^{2}}{a b g^{2} + b^{2} g^{2} x}"," ",0,"2*B*d*(A - B)*log(x + (2*A*B*a*d**2 + 2*A*B*b*c*d - 2*B**2*a*d**2 - 2*B**2*b*c*d - 2*B*a**2*d**3*(A - B)/(a*d - b*c) + 4*B*a*b*c*d**2*(A - B)/(a*d - b*c) - 2*B*b**2*c**2*d*(A - B)/(a*d - b*c))/(4*A*B*b*d**2 - 4*B**2*b*d**2))/(b*g**2*(a*d - b*c)) - 2*B*d*(A - B)*log(x + (2*A*B*a*d**2 + 2*A*B*b*c*d - 2*B**2*a*d**2 - 2*B**2*b*c*d + 2*B*a**2*d**3*(A - B)/(a*d - b*c) - 4*B*a*b*c*d**2*(A - B)/(a*d - b*c) + 2*B*b**2*c**2*d*(A - B)/(a*d - b*c))/(4*A*B*b*d**2 - 4*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + (-2*A*B + 2*B**2)*log(e*(c + d*x)/(a + b*x))/(a*b*g**2 + b**2*g**2*x) + (B**2*c + B**2*d*x)*log(e*(c + d*x)/(a + b*x))**2/(a**2*d*g**2 - a*b*c*g**2 + a*b*d*g**2*x - b**2*c*g**2*x) + (-A**2 + 2*A*B - 2*B**2)/(a*b*g**2 + b**2*g**2*x)","B",0
188,1,892,0,6.554261," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))**2/(b*g*x+a*g)**3,x)","\frac{B d^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} - 3 B^{2} a d^{3} - 3 B^{2} b c d^{2} - \frac{B a^{3} d^{5} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{B b^{3} c^{3} d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} - 6 B^{2} b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} - \frac{B d^{2} \left(2 A - 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} - 3 B^{2} a d^{3} - 3 B^{2} b c d^{2} + \frac{B a^{3} d^{5} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{B b^{3} c^{3} d^{2} \left(2 A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} - 6 B^{2} b d^{3}} \right)}}{2 b g^{3} \left(a d - b c\right)^{2}} + \frac{\left(2 B^{2} a c d + 2 B^{2} a d^{2} x - B^{2} b c^{2} + B^{2} b d^{2} x^{2}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}^{2}}{2 a^{4} d^{2} g^{3} - 4 a^{3} b c d g^{3} + 4 a^{3} b d^{2} g^{3} x + 2 a^{2} b^{2} c^{2} g^{3} - 8 a^{2} b^{2} c d g^{3} x + 2 a^{2} b^{2} d^{2} g^{3} x^{2} + 4 a b^{3} c^{2} g^{3} x - 4 a b^{3} c d g^{3} x^{2} + 2 b^{4} c^{2} g^{3} x^{2}} + \frac{\left(- 2 A B a d + 2 A B b c + 3 B^{2} a d - B^{2} b c + 2 B^{2} b d x\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{2 a^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + 4 a^{2} b^{2} d g^{3} x - 4 a b^{3} c g^{3} x + 2 a b^{3} d g^{3} x^{2} - 2 b^{4} c g^{3} x^{2}} + \frac{- 2 A^{2} a d + 2 A^{2} b c + 6 A B a d - 2 A B b c - 7 B^{2} a d + B^{2} b c + x \left(4 A B b d - 6 B^{2} b d\right)}{4 a^{3} b d g^{3} - 4 a^{2} b^{2} c g^{3} + x^{2} \left(4 a b^{3} d g^{3} - 4 b^{4} c g^{3}\right) + x \left(8 a^{2} b^{2} d g^{3} - 8 a b^{3} c g^{3}\right)}"," ",0,"B*d**2*(2*A - 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 - 3*B**2*a*d**3 - 3*B**2*b*c*d**2 - B*a**3*d**5*(2*A - 3*B)/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4*(2*A - 3*B)/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3*(2*A - 3*B)/(a*d - b*c)**2 + B*b**3*c**3*d**2*(2*A - 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 - 6*B**2*b*d**3))/(2*b*g**3*(a*d - b*c)**2) - B*d**2*(2*A - 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 - 3*B**2*a*d**3 - 3*B**2*b*c*d**2 + B*a**3*d**5*(2*A - 3*B)/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4*(2*A - 3*B)/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3*(2*A - 3*B)/(a*d - b*c)**2 - B*b**3*c**3*d**2*(2*A - 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 - 6*B**2*b*d**3))/(2*b*g**3*(a*d - b*c)**2) + (2*B**2*a*c*d + 2*B**2*a*d**2*x - B**2*b*c**2 + B**2*b*d**2*x**2)*log(e*(c + d*x)/(a + b*x))**2/(2*a**4*d**2*g**3 - 4*a**3*b*c*d*g**3 + 4*a**3*b*d**2*g**3*x + 2*a**2*b**2*c**2*g**3 - 8*a**2*b**2*c*d*g**3*x + 2*a**2*b**2*d**2*g**3*x**2 + 4*a*b**3*c**2*g**3*x - 4*a*b**3*c*d*g**3*x**2 + 2*b**4*c**2*g**3*x**2) + (-2*A*B*a*d + 2*A*B*b*c + 3*B**2*a*d - B**2*b*c + 2*B**2*b*d*x)*log(e*(c + d*x)/(a + b*x))/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + 4*a**2*b**2*d*g**3*x - 4*a*b**3*c*g**3*x + 2*a*b**3*d*g**3*x**2 - 2*b**4*c*g**3*x**2) + (-2*A**2*a*d + 2*A**2*b*c + 6*A*B*a*d - 2*A*B*b*c - 7*B**2*a*d + B**2*b*c + x*(4*A*B*b*d - 6*B**2*b*d))/(4*a**3*b*d*g**3 - 4*a**2*b**2*c*g**3 + x**2*(4*a*b**3*d*g**3 - 4*b**4*c*g**3) + x*(8*a**2*b**2*d*g**3 - 8*a*b**3*c*g**3))","B",0
189,1,1544,0,34.712111," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))**2/(b*g*x+a*g)**4,x)","\frac{B d^{3} \left(6 A - 11 B\right) \log{\left(x + \frac{6 A B a d^{4} + 6 A B b c d^{3} - 11 B^{2} a d^{4} - 11 B^{2} b c d^{3} - \frac{B a^{4} d^{7} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B a^{3} b c d^{6} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{6 B a^{2} b^{2} c^{2} d^{5} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B a b^{3} c^{3} d^{4} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{B b^{4} c^{4} d^{3} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}}}{12 A B b d^{4} - 22 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} - \frac{B d^{3} \left(6 A - 11 B\right) \log{\left(x + \frac{6 A B a d^{4} + 6 A B b c d^{3} - 11 B^{2} a d^{4} - 11 B^{2} b c d^{3} + \frac{B a^{4} d^{7} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B a^{3} b c d^{6} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{6 B a^{2} b^{2} c^{2} d^{5} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B a b^{3} c^{3} d^{4} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{B b^{4} c^{4} d^{3} \left(6 A - 11 B\right)}{\left(a d - b c\right)^{3}}}{12 A B b d^{4} - 22 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{\left(3 B^{2} a^{2} c d^{2} + 3 B^{2} a^{2} d^{3} x - 3 B^{2} a b c^{2} d + 3 B^{2} a b d^{3} x^{2} + B^{2} b^{2} c^{3} + B^{2} b^{2} d^{3} x^{3}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}^{2}}{3 a^{6} d^{3} g^{4} - 9 a^{5} b c d^{2} g^{4} + 9 a^{5} b d^{3} g^{4} x + 9 a^{4} b^{2} c^{2} d g^{4} - 27 a^{4} b^{2} c d^{2} g^{4} x + 9 a^{4} b^{2} d^{3} g^{4} x^{2} - 3 a^{3} b^{3} c^{3} g^{4} + 27 a^{3} b^{3} c^{2} d g^{4} x - 27 a^{3} b^{3} c d^{2} g^{4} x^{2} + 3 a^{3} b^{3} d^{3} g^{4} x^{3} - 9 a^{2} b^{4} c^{3} g^{4} x + 27 a^{2} b^{4} c^{2} d g^{4} x^{2} - 9 a^{2} b^{4} c d^{2} g^{4} x^{3} - 9 a b^{5} c^{3} g^{4} x^{2} + 9 a b^{5} c^{2} d g^{4} x^{3} - 3 b^{6} c^{3} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} + 12 A B a b c d - 6 A B b^{2} c^{2} + 11 B^{2} a^{2} d^{2} - 7 B^{2} a b c d + 15 B^{2} a b d^{2} x + 2 B^{2} b^{2} c^{2} - 3 B^{2} b^{2} c d x + 6 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 27 a^{4} b^{2} d^{2} g^{4} x + 9 a^{3} b^{3} c^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} x + 27 a^{3} b^{3} d^{2} g^{4} x^{2} + 27 a^{2} b^{4} c^{2} g^{4} x - 54 a^{2} b^{4} c d g^{4} x^{2} + 9 a^{2} b^{4} d^{2} g^{4} x^{3} + 27 a b^{5} c^{2} g^{4} x^{2} - 18 a b^{5} c d g^{4} x^{3} + 9 b^{6} c^{2} g^{4} x^{3}} - \frac{18 A^{2} a^{2} d^{2} - 36 A^{2} a b c d + 18 A^{2} b^{2} c^{2} - 66 A B a^{2} d^{2} + 42 A B a b c d - 12 A B b^{2} c^{2} + 85 B^{2} a^{2} d^{2} - 23 B^{2} a b c d + 4 B^{2} b^{2} c^{2} + x^{2} \left(- 36 A B b^{2} d^{2} + 66 B^{2} b^{2} d^{2}\right) + x \left(- 90 A B a b d^{2} + 18 A B b^{2} c d + 147 B^{2} a b d^{2} - 15 B^{2} b^{2} c d\right)}{54 a^{5} b d^{2} g^{4} - 108 a^{4} b^{2} c d g^{4} + 54 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(54 a^{2} b^{4} d^{2} g^{4} - 108 a b^{5} c d g^{4} + 54 b^{6} c^{2} g^{4}\right) + x^{2} \left(162 a^{3} b^{3} d^{2} g^{4} - 324 a^{2} b^{4} c d g^{4} + 162 a b^{5} c^{2} g^{4}\right) + x \left(162 a^{4} b^{2} d^{2} g^{4} - 324 a^{3} b^{3} c d g^{4} + 162 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"B*d**3*(6*A - 11*B)*log(x + (6*A*B*a*d**4 + 6*A*B*b*c*d**3 - 11*B**2*a*d**4 - 11*B**2*b*c*d**3 - B*a**4*d**7*(6*A - 11*B)/(a*d - b*c)**3 + 4*B*a**3*b*c*d**6*(6*A - 11*B)/(a*d - b*c)**3 - 6*B*a**2*b**2*c**2*d**5*(6*A - 11*B)/(a*d - b*c)**3 + 4*B*a*b**3*c**3*d**4*(6*A - 11*B)/(a*d - b*c)**3 - B*b**4*c**4*d**3*(6*A - 11*B)/(a*d - b*c)**3)/(12*A*B*b*d**4 - 22*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) - B*d**3*(6*A - 11*B)*log(x + (6*A*B*a*d**4 + 6*A*B*b*c*d**3 - 11*B**2*a*d**4 - 11*B**2*b*c*d**3 + B*a**4*d**7*(6*A - 11*B)/(a*d - b*c)**3 - 4*B*a**3*b*c*d**6*(6*A - 11*B)/(a*d - b*c)**3 + 6*B*a**2*b**2*c**2*d**5*(6*A - 11*B)/(a*d - b*c)**3 - 4*B*a*b**3*c**3*d**4*(6*A - 11*B)/(a*d - b*c)**3 + B*b**4*c**4*d**3*(6*A - 11*B)/(a*d - b*c)**3)/(12*A*B*b*d**4 - 22*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + (3*B**2*a**2*c*d**2 + 3*B**2*a**2*d**3*x - 3*B**2*a*b*c**2*d + 3*B**2*a*b*d**3*x**2 + B**2*b**2*c**3 + B**2*b**2*d**3*x**3)*log(e*(c + d*x)/(a + b*x))**2/(3*a**6*d**3*g**4 - 9*a**5*b*c*d**2*g**4 + 9*a**5*b*d**3*g**4*x + 9*a**4*b**2*c**2*d*g**4 - 27*a**4*b**2*c*d**2*g**4*x + 9*a**4*b**2*d**3*g**4*x**2 - 3*a**3*b**3*c**3*g**4 + 27*a**3*b**3*c**2*d*g**4*x - 27*a**3*b**3*c*d**2*g**4*x**2 + 3*a**3*b**3*d**3*g**4*x**3 - 9*a**2*b**4*c**3*g**4*x + 27*a**2*b**4*c**2*d*g**4*x**2 - 9*a**2*b**4*c*d**2*g**4*x**3 - 9*a*b**5*c**3*g**4*x**2 + 9*a*b**5*c**2*d*g**4*x**3 - 3*b**6*c**3*g**4*x**3) + (-6*A*B*a**2*d**2 + 12*A*B*a*b*c*d - 6*A*B*b**2*c**2 + 11*B**2*a**2*d**2 - 7*B**2*a*b*c*d + 15*B**2*a*b*d**2*x + 2*B**2*b**2*c**2 - 3*B**2*b**2*c*d*x + 6*B**2*b**2*d**2*x**2)*log(e*(c + d*x)/(a + b*x))/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 27*a**4*b**2*d**2*g**4*x + 9*a**3*b**3*c**2*g**4 - 54*a**3*b**3*c*d*g**4*x + 27*a**3*b**3*d**2*g**4*x**2 + 27*a**2*b**4*c**2*g**4*x - 54*a**2*b**4*c*d*g**4*x**2 + 9*a**2*b**4*d**2*g**4*x**3 + 27*a*b**5*c**2*g**4*x**2 - 18*a*b**5*c*d*g**4*x**3 + 9*b**6*c**2*g**4*x**3) - (18*A**2*a**2*d**2 - 36*A**2*a*b*c*d + 18*A**2*b**2*c**2 - 66*A*B*a**2*d**2 + 42*A*B*a*b*c*d - 12*A*B*b**2*c**2 + 85*B**2*a**2*d**2 - 23*B**2*a*b*c*d + 4*B**2*b**2*c**2 + x**2*(-36*A*B*b**2*d**2 + 66*B**2*b**2*d**2) + x*(-90*A*B*a*b*d**2 + 18*A*B*b**2*c*d + 147*B**2*a*b*d**2 - 15*B**2*b**2*c*d))/(54*a**5*b*d**2*g**4 - 108*a**4*b**2*c*d*g**4 + 54*a**3*b**3*c**2*g**4 + x**3*(54*a**2*b**4*d**2*g**4 - 108*a*b**5*c*d*g**4 + 54*b**6*c**2*g**4) + x**2*(162*a**3*b**3*d**2*g**4 - 324*a**2*b**4*c*d*g**4 + 162*a*b**5*c**2*g**4) + x*(162*a**4*b**2*d**2*g**4 - 324*a**3*b**3*c*d*g**4 + 162*a**2*b**4*c**2*g**4))","B",0
190,-1,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)/(b*x+a)))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)/(b*x+a))),x)","g^{2} \left(\int \frac{a^{2}}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{b^{2} x^{2}}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{2 a b x}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(b**2*x**2/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(2*a*b*x/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x))","F",0
192,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(d*x+c)/(b*x+a))),x)","g \left(\int \frac{a}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{b x}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx\right)"," ",0,"g*(Integral(a/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(b*x/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x))","F",0
193,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{\int \frac{1}{A a + A b x + B a \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + B b x \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*a + A*b*x + B*a*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + B*b*x*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x)/g","F",0
194,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + 2 B a b x \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + B b^{2} x^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + 2*B*a*b*x*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + B*b**2*x**2*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x)/g**2","F",0
195,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(d*x+c)/(b*x+a))),x)","\frac{\int \frac{1}{A a^{3} + 3 A a^{2} b x + 3 A a b^{2} x^{2} + A b^{3} x^{3} + B a^{3} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + 3 B a^{2} b x \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + 3 B a b^{2} x^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + B b^{3} x^{3} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx}{g^{3}}"," ",0,"Integral(1/(A*a**3 + 3*A*a**2*b*x + 3*A*a*b**2*x**2 + A*b**3*x**3 + B*a**3*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + 3*B*a**2*b*x*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + 3*B*a*b**2*x**2*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + B*b**3*x**3*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x)/g**3","F",0
196,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
197,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\frac{- a^{2} c g - a^{2} d g x - 2 a b c g x - 2 a b d g x^{2} - b^{2} c g x^{2} - b^{2} d g x^{3}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}} + \frac{g \left(\int \frac{a^{2} d}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{2 a b c}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{2 b^{2} c x}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{3 b^{2} d x^{2}}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx + \int \frac{4 a b d x}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx\right)}{B \left(a d - b c\right)}"," ",0,"(-a**2*c*g - a**2*d*g*x - 2*a*b*c*g*x - 2*a*b*d*g*x**2 - b**2*c*g*x**2 - b**2*d*g*x**3)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(c + d*x)/(a + b*x))) + g*(Integral(a**2*d/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(2*a*b*c/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(2*b**2*c*x/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(3*b**2*d*x**2/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x) + Integral(4*a*b*d*x/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x))/(B*(a*d - b*c))","F",0
198,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\frac{- c - d x}{A B a d g - A B b c g + \left(B^{2} a d g - B^{2} b c g\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}} + \frac{d \int \frac{1}{A + B \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx}{B g \left(a d - b c\right)}"," ",0,"(-c - d*x)/(A*B*a*d*g - A*B*b*c*g + (B**2*a*d*g - B**2*b*c*g)*log(e*(c + d*x)/(a + b*x))) + d*Integral(1/(A + B*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x)/(B*g*(a*d - b*c))","F",0
199,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\frac{- c - d x}{A B a^{2} d g^{2} - A B a b c g^{2} + A B a b d g^{2} x - A B b^{2} c g^{2} x + \left(B^{2} a^{2} d g^{2} - B^{2} a b c g^{2} + B^{2} a b d g^{2} x - B^{2} b^{2} c g^{2} x\right) \log{\left(\frac{e \left(c + d x\right)}{a + b x} \right)}} + \frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + 2 B a b x \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)} + B b^{2} x^{2} \log{\left(\frac{c e}{a + b x} + \frac{d e x}{a + b x} \right)}}\, dx}{B g^{2}}"," ",0,"(-c - d*x)/(A*B*a**2*d*g**2 - A*B*a*b*c*g**2 + A*B*a*b*d*g**2*x - A*B*b**2*c*g**2*x + (B**2*a**2*d*g**2 - B**2*a*b*c*g**2 + B**2*a*b*d*g**2*x - B**2*b**2*c*g**2*x)*log(e*(c + d*x)/(a + b*x))) + Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + 2*B*a*b*x*log(c*e/(a + b*x) + d*e*x/(a + b*x)) + B*b**2*x**2*log(c*e/(a + b*x) + d*e*x/(a + b*x))), x)/(B*g**2)","F",0
200,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(d*x+c)/(b*x+a)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
201,1,998,0,6.698967," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{A b^{4} g^{4} x^{5}}{5} - \frac{2 B a^{5} g^{4} \log{\left(x + \frac{\frac{2 B a^{6} d^{5} g^{4}}{b} + 10 B a^{5} c d^{4} g^{4} - 20 B a^{4} b c^{2} d^{3} g^{4} + 20 B a^{3} b^{2} c^{3} d^{2} g^{4} - 10 B a^{2} b^{3} c^{4} d g^{4} + 2 B a b^{4} c^{5} g^{4}}{2 B a^{5} d^{5} g^{4} + 10 B a^{4} b c d^{4} g^{4} - 20 B a^{3} b^{2} c^{2} d^{3} g^{4} + 20 B a^{2} b^{3} c^{3} d^{2} g^{4} - 10 B a b^{4} c^{4} d g^{4} + 2 B b^{5} c^{5} g^{4}} \right)}}{5 b} + \frac{2 B c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) \log{\left(x + \frac{12 B a^{5} c d^{4} g^{4} - 20 B a^{4} b c^{2} d^{3} g^{4} + 20 B a^{3} b^{2} c^{3} d^{2} g^{4} - 10 B a^{2} b^{3} c^{4} d g^{4} + 2 B a b^{4} c^{5} g^{4} - 2 B a c g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right) + \frac{2 B b c^{2} g^{4} \left(5 a^{4} d^{4} - 10 a^{3} b c d^{3} + 10 a^{2} b^{2} c^{2} d^{2} - 5 a b^{3} c^{3} d + b^{4} c^{4}\right)}{d}}{2 B a^{5} d^{5} g^{4} + 10 B a^{4} b c d^{4} g^{4} - 20 B a^{3} b^{2} c^{2} d^{3} g^{4} + 20 B a^{2} b^{3} c^{3} d^{2} g^{4} - 10 B a b^{4} c^{4} d g^{4} + 2 B b^{5} c^{5} g^{4}} \right)}}{5 d^{5}} + x^{4} \left(A a b^{3} g^{4} - \frac{B a b^{3} g^{4}}{10} + \frac{B b^{4} c g^{4}}{10 d}\right) + x^{3} \left(2 A a^{2} b^{2} g^{4} - \frac{8 B a^{2} b^{2} g^{4}}{15} + \frac{2 B a b^{3} c g^{4}}{3 d} - \frac{2 B b^{4} c^{2} g^{4}}{15 d^{2}}\right) + x^{2} \left(2 A a^{3} b g^{4} - \frac{6 B a^{3} b g^{4}}{5} + \frac{2 B a^{2} b^{2} c g^{4}}{d} - \frac{B a b^{3} c^{2} g^{4}}{d^{2}} + \frac{B b^{4} c^{3} g^{4}}{5 d^{3}}\right) + x \left(A a^{4} g^{4} - \frac{8 B a^{4} g^{4}}{5} + \frac{4 B a^{3} b c g^{4}}{d} - \frac{4 B a^{2} b^{2} c^{2} g^{4}}{d^{2}} + \frac{2 B a b^{3} c^{3} g^{4}}{d^{3}} - \frac{2 B b^{4} c^{4} g^{4}}{5 d^{4}}\right) + \left(B a^{4} g^{4} x + 2 B a^{3} b g^{4} x^{2} + 2 B a^{2} b^{2} g^{4} x^{3} + B a b^{3} g^{4} x^{4} + \frac{B b^{4} g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}"," ",0,"A*b**4*g**4*x**5/5 - 2*B*a**5*g**4*log(x + (2*B*a**6*d**5*g**4/b + 10*B*a**5*c*d**4*g**4 - 20*B*a**4*b*c**2*d**3*g**4 + 20*B*a**3*b**2*c**3*d**2*g**4 - 10*B*a**2*b**3*c**4*d*g**4 + 2*B*a*b**4*c**5*g**4)/(2*B*a**5*d**5*g**4 + 10*B*a**4*b*c*d**4*g**4 - 20*B*a**3*b**2*c**2*d**3*g**4 + 20*B*a**2*b**3*c**3*d**2*g**4 - 10*B*a*b**4*c**4*d*g**4 + 2*B*b**5*c**5*g**4))/(5*b) + 2*B*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)*log(x + (12*B*a**5*c*d**4*g**4 - 20*B*a**4*b*c**2*d**3*g**4 + 20*B*a**3*b**2*c**3*d**2*g**4 - 10*B*a**2*b**3*c**4*d*g**4 + 2*B*a*b**4*c**5*g**4 - 2*B*a*c*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4) + 2*B*b*c**2*g**4*(5*a**4*d**4 - 10*a**3*b*c*d**3 + 10*a**2*b**2*c**2*d**2 - 5*a*b**3*c**3*d + b**4*c**4)/d)/(2*B*a**5*d**5*g**4 + 10*B*a**4*b*c*d**4*g**4 - 20*B*a**3*b**2*c**2*d**3*g**4 + 20*B*a**2*b**3*c**3*d**2*g**4 - 10*B*a*b**4*c**4*d*g**4 + 2*B*b**5*c**5*g**4))/(5*d**5) + x**4*(A*a*b**3*g**4 - B*a*b**3*g**4/10 + B*b**4*c*g**4/(10*d)) + x**3*(2*A*a**2*b**2*g**4 - 8*B*a**2*b**2*g**4/15 + 2*B*a*b**3*c*g**4/(3*d) - 2*B*b**4*c**2*g**4/(15*d**2)) + x**2*(2*A*a**3*b*g**4 - 6*B*a**3*b*g**4/5 + 2*B*a**2*b**2*c*g**4/d - B*a*b**3*c**2*g**4/d**2 + B*b**4*c**3*g**4/(5*d**3)) + x*(A*a**4*g**4 - 8*B*a**4*g**4/5 + 4*B*a**3*b*c*g**4/d - 4*B*a**2*b**2*c**2*g**4/d**2 + 2*B*a*b**3*c**3*g**4/d**3 - 2*B*b**4*c**4*g**4/(5*d**4)) + (B*a**4*g**4*x + 2*B*a**3*b*g**4*x**2 + 2*B*a**2*b**2*g**4*x**3 + B*a*b**3*g**4*x**4 + B*b**4*g**4*x**5/5)*log(e*(c + d*x)**2/(a + b*x)**2)","B",0
202,1,707,0,4.353801," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{A b^{3} g^{3} x^{4}}{4} - \frac{B a^{4} g^{3} \log{\left(x + \frac{\frac{B a^{5} d^{4} g^{3}}{b} + 4 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{2 b} + \frac{B c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{5 B a^{4} c d^{3} g^{3} - 6 B a^{3} b c^{2} d^{2} g^{3} + 4 B a^{2} b^{2} c^{3} d g^{3} - B a b^{3} c^{4} g^{3} - B a c g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right) + \frac{B b c^{2} g^{3} \left(2 a d - b c\right) \left(2 a^{2} d^{2} - 2 a b c d + b^{2} c^{2}\right)}{d}}{B a^{4} d^{4} g^{3} + 4 B a^{3} b c d^{3} g^{3} - 6 B a^{2} b^{2} c^{2} d^{2} g^{3} + 4 B a b^{3} c^{3} d g^{3} - B b^{4} c^{4} g^{3}} \right)}}{2 d^{4}} + x^{3} \left(A a b^{2} g^{3} - \frac{B a b^{2} g^{3}}{6} + \frac{B b^{3} c g^{3}}{6 d}\right) + x^{2} \left(\frac{3 A a^{2} b g^{3}}{2} - \frac{3 B a^{2} b g^{3}}{4} + \frac{B a b^{2} c g^{3}}{d} - \frac{B b^{3} c^{2} g^{3}}{4 d^{2}}\right) + x \left(A a^{3} g^{3} - \frac{3 B a^{3} g^{3}}{2} + \frac{3 B a^{2} b c g^{3}}{d} - \frac{2 B a b^{2} c^{2} g^{3}}{d^{2}} + \frac{B b^{3} c^{3} g^{3}}{2 d^{3}}\right) + \left(B a^{3} g^{3} x + \frac{3 B a^{2} b g^{3} x^{2}}{2} + B a b^{2} g^{3} x^{3} + \frac{B b^{3} g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}"," ",0,"A*b**3*g**3*x**4/4 - B*a**4*g**3*log(x + (B*a**5*d**4*g**3/b + 4*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(2*b) + B*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)*log(x + (5*B*a**4*c*d**3*g**3 - 6*B*a**3*b*c**2*d**2*g**3 + 4*B*a**2*b**2*c**3*d*g**3 - B*a*b**3*c**4*g**3 - B*a*c*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2) + B*b*c**2*g**3*(2*a*d - b*c)*(2*a**2*d**2 - 2*a*b*c*d + b**2*c**2)/d)/(B*a**4*d**4*g**3 + 4*B*a**3*b*c*d**3*g**3 - 6*B*a**2*b**2*c**2*d**2*g**3 + 4*B*a*b**3*c**3*d*g**3 - B*b**4*c**4*g**3))/(2*d**4) + x**3*(A*a*b**2*g**3 - B*a*b**2*g**3/6 + B*b**3*c*g**3/(6*d)) + x**2*(3*A*a**2*b*g**3/2 - 3*B*a**2*b*g**3/4 + B*a*b**2*c*g**3/d - B*b**3*c**2*g**3/(4*d**2)) + x*(A*a**3*g**3 - 3*B*a**3*g**3/2 + 3*B*a**2*b*c*g**3/d - 2*B*a*b**2*c**2*g**3/d**2 + B*b**3*c**3*g**3/(2*d**3)) + (B*a**3*g**3*x + 3*B*a**2*b*g**3*x**2/2 + B*a*b**2*g**3*x**3 + B*b**3*g**3*x**4/4)*log(e*(c + d*x)**2/(a + b*x)**2)","B",0
203,1,517,0,3.125480," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{A b^{2} g^{2} x^{3}}{3} - \frac{2 B a^{3} g^{2} \log{\left(x + \frac{\frac{2 B a^{4} d^{3} g^{2}}{b} + 6 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c^{2} d g^{2} + 2 B a b^{2} c^{3} g^{2}}{2 B a^{3} d^{3} g^{2} + 6 B a^{2} b c d^{2} g^{2} - 6 B a b^{2} c^{2} d g^{2} + 2 B b^{3} c^{3} g^{2}} \right)}}{3 b} + \frac{2 B c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) \log{\left(x + \frac{8 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c^{2} d g^{2} + 2 B a b^{2} c^{3} g^{2} - 2 B a c g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right) + \frac{2 B b c^{2} g^{2} \left(3 a^{2} d^{2} - 3 a b c d + b^{2} c^{2}\right)}{d}}{2 B a^{3} d^{3} g^{2} + 6 B a^{2} b c d^{2} g^{2} - 6 B a b^{2} c^{2} d g^{2} + 2 B b^{3} c^{3} g^{2}} \right)}}{3 d^{3}} + x^{2} \left(A a b g^{2} - \frac{B a b g^{2}}{3} + \frac{B b^{2} c g^{2}}{3 d}\right) + x \left(A a^{2} g^{2} - \frac{4 B a^{2} g^{2}}{3} + \frac{2 B a b c g^{2}}{d} - \frac{2 B b^{2} c^{2} g^{2}}{3 d^{2}}\right) + \left(B a^{2} g^{2} x + B a b g^{2} x^{2} + \frac{B b^{2} g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}"," ",0,"A*b**2*g**2*x**3/3 - 2*B*a**3*g**2*log(x + (2*B*a**4*d**3*g**2/b + 6*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c**2*d*g**2 + 2*B*a*b**2*c**3*g**2)/(2*B*a**3*d**3*g**2 + 6*B*a**2*b*c*d**2*g**2 - 6*B*a*b**2*c**2*d*g**2 + 2*B*b**3*c**3*g**2))/(3*b) + 2*B*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)*log(x + (8*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c**2*d*g**2 + 2*B*a*b**2*c**3*g**2 - 2*B*a*c*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2) + 2*B*b*c**2*g**2*(3*a**2*d**2 - 3*a*b*c*d + b**2*c**2)/d)/(2*B*a**3*d**3*g**2 + 6*B*a**2*b*c*d**2*g**2 - 6*B*a*b**2*c**2*d*g**2 + 2*B*b**3*c**3*g**2))/(3*d**3) + x**2*(A*a*b*g**2 - B*a*b*g**2/3 + B*b**2*c*g**2/(3*d)) + x*(A*a**2*g**2 - 4*B*a**2*g**2/3 + 2*B*a*b*c*g**2/d - 2*B*b**2*c**2*g**2/(3*d**2)) + (B*a**2*g**2*x + B*a*b*g**2*x**2 + B*b**2*g**2*x**3/3)*log(e*(c + d*x)**2/(a + b*x)**2)","B",0
204,1,250,0,1.923582," ","integrate((b*g*x+a*g)*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{A b g x^{2}}{2} - \frac{B a^{2} g \log{\left(x + \frac{\frac{B a^{3} d^{2} g}{b} + 2 B a^{2} c d g - B a b c^{2} g}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{b} + \frac{B c g \left(2 a d - b c\right) \log{\left(x + \frac{3 B a^{2} c d g - B a b c^{2} g - B a c g \left(2 a d - b c\right) + \frac{B b c^{2} g \left(2 a d - b c\right)}{d}}{B a^{2} d^{2} g + 2 B a b c d g - B b^{2} c^{2} g} \right)}}{d^{2}} + x \left(A a g - B a g + \frac{B b c g}{d}\right) + \left(B a g x + \frac{B b g x^{2}}{2}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}"," ",0,"A*b*g*x**2/2 - B*a**2*g*log(x + (B*a**3*d**2*g/b + 2*B*a**2*c*d*g - B*a*b*c**2*g)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/b + B*c*g*(2*a*d - b*c)*log(x + (3*B*a**2*c*d*g - B*a*b*c**2*g - B*a*c*g*(2*a*d - b*c) + B*b*c**2*g*(2*a*d - b*c)/d)/(B*a**2*d**2*g + 2*B*a*b*c*d*g - B*b**2*c**2*g))/d**2 + x*(A*a*g - B*a*g + B*b*c*g/d) + (B*a*g*x + B*b*g*x**2/2)*log(e*(c + d*x)**2/(a + b*x)**2)","B",0
205,0,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))/(b*g*x+a*g),x)","\frac{\int \frac{A}{a + b x}\, dx + \int \frac{B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A/(a + b*x), x) + Integral(B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))/(a + b*x), x))/g","F",0
206,1,253,0,1.640696," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))/(b*g*x+a*g)**2,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{a b g^{2} + b^{2} g^{2} x} + \frac{2 B d \log{\left(x + \frac{- \frac{2 B a^{2} d^{3}}{a d - b c} + \frac{4 B a b c d^{2}}{a d - b c} + 2 B a d^{2} - \frac{2 B b^{2} c^{2} d}{a d - b c} + 2 B b c d}{4 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} - \frac{2 B d \log{\left(x + \frac{\frac{2 B a^{2} d^{3}}{a d - b c} - \frac{4 B a b c d^{2}}{a d - b c} + 2 B a d^{2} + \frac{2 B b^{2} c^{2} d}{a d - b c} + 2 B b c d}{4 B b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{- A + 2 B}{a b g^{2} + b^{2} g^{2} x}"," ",0,"-B*log(e*(c + d*x)**2/(a + b*x)**2)/(a*b*g**2 + b**2*g**2*x) + 2*B*d*log(x + (-2*B*a**2*d**3/(a*d - b*c) + 4*B*a*b*c*d**2/(a*d - b*c) + 2*B*a*d**2 - 2*B*b**2*c**2*d/(a*d - b*c) + 2*B*b*c*d)/(4*B*b*d**2))/(b*g**2*(a*d - b*c)) - 2*B*d*log(x + (2*B*a**2*d**3/(a*d - b*c) - 4*B*a*b*c*d**2/(a*d - b*c) + 2*B*a*d**2 + 2*B*b**2*c**2*d/(a*d - b*c) + 2*B*b*c*d)/(4*B*b*d**2))/(b*g**2*(a*d - b*c)) + (-A + 2*B)/(a*b*g**2 + b**2*g**2*x)","B",0
207,1,418,0,2.600016," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))/(b*g*x+a*g)**3,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{2 a^{2} b g^{3} + 4 a b^{2} g^{3} x + 2 b^{3} g^{3} x^{2}} + \frac{B d^{2} \log{\left(x + \frac{- \frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} + \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} - \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} + \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} - \frac{B d^{2} \log{\left(x + \frac{\frac{B a^{3} d^{5}}{\left(a d - b c\right)^{2}} - \frac{3 B a^{2} b c d^{4}}{\left(a d - b c\right)^{2}} + \frac{3 B a b^{2} c^{2} d^{3}}{\left(a d - b c\right)^{2}} + B a d^{3} - \frac{B b^{3} c^{3} d^{2}}{\left(a d - b c\right)^{2}} + B b c d^{2}}{2 B b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{- A a d + A b c + 3 B a d - B b c + 2 B b d x}{2 a^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + x^{2} \left(2 a b^{3} d g^{3} - 2 b^{4} c g^{3}\right) + x \left(4 a^{2} b^{2} d g^{3} - 4 a b^{3} c g^{3}\right)}"," ",0,"-B*log(e*(c + d*x)**2/(a + b*x)**2)/(2*a**2*b*g**3 + 4*a*b**2*g**3*x + 2*b**3*g**3*x**2) + B*d**2*log(x + (-B*a**3*d**5/(a*d - b*c)**2 + 3*B*a**2*b*c*d**4/(a*d - b*c)**2 - 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 + B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(b*g**3*(a*d - b*c)**2) - B*d**2*log(x + (B*a**3*d**5/(a*d - b*c)**2 - 3*B*a**2*b*c*d**4/(a*d - b*c)**2 + 3*B*a*b**2*c**2*d**3/(a*d - b*c)**2 + B*a*d**3 - B*b**3*c**3*d**2/(a*d - b*c)**2 + B*b*c*d**2)/(2*B*b*d**3))/(b*g**3*(a*d - b*c)**2) + (-A*a*d + A*b*c + 3*B*a*d - B*b*c + 2*B*b*d*x)/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + x**2*(2*a*b**3*d*g**3 - 2*b**4*c*g**3) + x*(4*a**2*b**2*d*g**3 - 4*a*b**3*c*g**3))","B",0
208,1,677,0,4.055941," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))/(b*g*x+a*g)**4,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{3 a^{3} b g^{4} + 9 a^{2} b^{2} g^{4} x + 9 a b^{3} g^{4} x^{2} + 3 b^{4} g^{4} x^{3}} + \frac{2 B d^{3} \log{\left(x + \frac{- \frac{2 B a^{4} d^{7}}{\left(a d - b c\right)^{3}} + \frac{8 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} - \frac{12 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} + \frac{8 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + 2 B a d^{4} - \frac{2 B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + 2 B b c d^{3}}{4 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} - \frac{2 B d^{3} \log{\left(x + \frac{\frac{2 B a^{4} d^{7}}{\left(a d - b c\right)^{3}} - \frac{8 B a^{3} b c d^{6}}{\left(a d - b c\right)^{3}} + \frac{12 B a^{2} b^{2} c^{2} d^{5}}{\left(a d - b c\right)^{3}} - \frac{8 B a b^{3} c^{3} d^{4}}{\left(a d - b c\right)^{3}} + 2 B a d^{4} + \frac{2 B b^{4} c^{4} d^{3}}{\left(a d - b c\right)^{3}} + 2 B b c d^{3}}{4 B b d^{4}} \right)}}{3 b g^{4} \left(a d - b c\right)^{3}} + \frac{- 3 A a^{2} d^{2} + 6 A a b c d - 3 A b^{2} c^{2} + 11 B a^{2} d^{2} - 7 B a b c d + 2 B b^{2} c^{2} + 6 B b^{2} d^{2} x^{2} + x \left(15 B a b d^{2} - 3 B b^{2} c d\right)}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 9 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(9 a^{2} b^{4} d^{2} g^{4} - 18 a b^{5} c d g^{4} + 9 b^{6} c^{2} g^{4}\right) + x^{2} \left(27 a^{3} b^{3} d^{2} g^{4} - 54 a^{2} b^{4} c d g^{4} + 27 a b^{5} c^{2} g^{4}\right) + x \left(27 a^{4} b^{2} d^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} + 27 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"-B*log(e*(c + d*x)**2/(a + b*x)**2)/(3*a**3*b*g**4 + 9*a**2*b**2*g**4*x + 9*a*b**3*g**4*x**2 + 3*b**4*g**4*x**3) + 2*B*d**3*log(x + (-2*B*a**4*d**7/(a*d - b*c)**3 + 8*B*a**3*b*c*d**6/(a*d - b*c)**3 - 12*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 + 8*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + 2*B*a*d**4 - 2*B*b**4*c**4*d**3/(a*d - b*c)**3 + 2*B*b*c*d**3)/(4*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) - 2*B*d**3*log(x + (2*B*a**4*d**7/(a*d - b*c)**3 - 8*B*a**3*b*c*d**6/(a*d - b*c)**3 + 12*B*a**2*b**2*c**2*d**5/(a*d - b*c)**3 - 8*B*a*b**3*c**3*d**4/(a*d - b*c)**3 + 2*B*a*d**4 + 2*B*b**4*c**4*d**3/(a*d - b*c)**3 + 2*B*b*c*d**3)/(4*B*b*d**4))/(3*b*g**4*(a*d - b*c)**3) + (-3*A*a**2*d**2 + 6*A*a*b*c*d - 3*A*b**2*c**2 + 11*B*a**2*d**2 - 7*B*a*b*c*d + 2*B*b**2*c**2 + 6*B*b**2*d**2*x**2 + x*(15*B*a*b*d**2 - 3*B*b**2*c*d))/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 9*a**3*b**3*c**2*g**4 + x**3*(9*a**2*b**4*d**2*g**4 - 18*a*b**5*c*d*g**4 + 9*b**6*c**2*g**4) + x**2*(27*a**3*b**3*d**2*g**4 - 54*a**2*b**4*c*d*g**4 + 27*a*b**5*c**2*g**4) + x*(27*a**4*b**2*d**2*g**4 - 54*a**3*b**3*c*d*g**4 + 27*a**2*b**4*c**2*g**4))","B",0
209,1,947,0,5.684739," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))/(b*g*x+a*g)**5,x)","- \frac{B \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{4 a^{4} b g^{5} + 16 a^{3} b^{2} g^{5} x + 24 a^{2} b^{3} g^{5} x^{2} + 16 a b^{4} g^{5} x^{3} + 4 b^{5} g^{5} x^{4}} + \frac{B d^{4} \log{\left(x + \frac{- \frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} + \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} - \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} + \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{2 b g^{5} \left(a d - b c\right)^{4}} - \frac{B d^{4} \log{\left(x + \frac{\frac{B a^{5} d^{9}}{\left(a d - b c\right)^{4}} - \frac{5 B a^{4} b c d^{8}}{\left(a d - b c\right)^{4}} + \frac{10 B a^{3} b^{2} c^{2} d^{7}}{\left(a d - b c\right)^{4}} - \frac{10 B a^{2} b^{3} c^{3} d^{6}}{\left(a d - b c\right)^{4}} + \frac{5 B a b^{4} c^{4} d^{5}}{\left(a d - b c\right)^{4}} + B a d^{5} - \frac{B b^{5} c^{5} d^{4}}{\left(a d - b c\right)^{4}} + B b c d^{4}}{2 B b d^{5}} \right)}}{2 b g^{5} \left(a d - b c\right)^{4}} + \frac{- 6 A a^{3} d^{3} + 18 A a^{2} b c d^{2} - 18 A a b^{2} c^{2} d + 6 A b^{3} c^{3} + 25 B a^{3} d^{3} - 23 B a^{2} b c d^{2} + 13 B a b^{2} c^{2} d - 3 B b^{3} c^{3} + 12 B b^{3} d^{3} x^{3} + x^{2} \left(42 B a b^{2} d^{3} - 6 B b^{3} c d^{2}\right) + x \left(52 B a^{2} b d^{3} - 20 B a b^{2} c d^{2} + 4 B b^{3} c^{2} d\right)}{24 a^{7} b d^{3} g^{5} - 72 a^{6} b^{2} c d^{2} g^{5} + 72 a^{5} b^{3} c^{2} d g^{5} - 24 a^{4} b^{4} c^{3} g^{5} + x^{4} \left(24 a^{3} b^{5} d^{3} g^{5} - 72 a^{2} b^{6} c d^{2} g^{5} + 72 a b^{7} c^{2} d g^{5} - 24 b^{8} c^{3} g^{5}\right) + x^{3} \left(96 a^{4} b^{4} d^{3} g^{5} - 288 a^{3} b^{5} c d^{2} g^{5} + 288 a^{2} b^{6} c^{2} d g^{5} - 96 a b^{7} c^{3} g^{5}\right) + x^{2} \left(144 a^{5} b^{3} d^{3} g^{5} - 432 a^{4} b^{4} c d^{2} g^{5} + 432 a^{3} b^{5} c^{2} d g^{5} - 144 a^{2} b^{6} c^{3} g^{5}\right) + x \left(96 a^{6} b^{2} d^{3} g^{5} - 288 a^{5} b^{3} c d^{2} g^{5} + 288 a^{4} b^{4} c^{2} d g^{5} - 96 a^{3} b^{5} c^{3} g^{5}\right)}"," ",0,"-B*log(e*(c + d*x)**2/(a + b*x)**2)/(4*a**4*b*g**5 + 16*a**3*b**2*g**5*x + 24*a**2*b**3*g**5*x**2 + 16*a*b**4*g**5*x**3 + 4*b**5*g**5*x**4) + B*d**4*log(x + (-B*a**5*d**9/(a*d - b*c)**4 + 5*B*a**4*b*c*d**8/(a*d - b*c)**4 - 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 + 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 - 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 + B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(2*b*g**5*(a*d - b*c)**4) - B*d**4*log(x + (B*a**5*d**9/(a*d - b*c)**4 - 5*B*a**4*b*c*d**8/(a*d - b*c)**4 + 10*B*a**3*b**2*c**2*d**7/(a*d - b*c)**4 - 10*B*a**2*b**3*c**3*d**6/(a*d - b*c)**4 + 5*B*a*b**4*c**4*d**5/(a*d - b*c)**4 + B*a*d**5 - B*b**5*c**5*d**4/(a*d - b*c)**4 + B*b*c*d**4)/(2*B*b*d**5))/(2*b*g**5*(a*d - b*c)**4) + (-6*A*a**3*d**3 + 18*A*a**2*b*c*d**2 - 18*A*a*b**2*c**2*d + 6*A*b**3*c**3 + 25*B*a**3*d**3 - 23*B*a**2*b*c*d**2 + 13*B*a*b**2*c**2*d - 3*B*b**3*c**3 + 12*B*b**3*d**3*x**3 + x**2*(42*B*a*b**2*d**3 - 6*B*b**3*c*d**2) + x*(52*B*a**2*b*d**3 - 20*B*a*b**2*c*d**2 + 4*B*b**3*c**2*d))/(24*a**7*b*d**3*g**5 - 72*a**6*b**2*c*d**2*g**5 + 72*a**5*b**3*c**2*d*g**5 - 24*a**4*b**4*c**3*g**5 + x**4*(24*a**3*b**5*d**3*g**5 - 72*a**2*b**6*c*d**2*g**5 + 72*a*b**7*c**2*d*g**5 - 24*b**8*c**3*g**5) + x**3*(96*a**4*b**4*d**3*g**5 - 288*a**3*b**5*c*d**2*g**5 + 288*a**2*b**6*c**2*d*g**5 - 96*a*b**7*c**3*g**5) + x**2*(144*a**5*b**3*d**3*g**5 - 432*a**4*b**4*c*d**2*g**5 + 432*a**3*b**5*c**2*d*g**5 - 144*a**2*b**6*c**3*g**5) + x*(96*a**6*b**2*d**3*g**5 - 288*a**5*b**3*c*d**2*g**5 + 288*a**4*b**4*c**2*d*g**5 - 96*a**3*b**5*c**3*g**5))","B",0
210,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**4*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
211,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**3*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
212,-1,0,0,0.000000," ","integrate((b*g*x+a*g)**2*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate((b*g*x+a*g)*(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,0,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2/(b*g*x+a*g),x)","\frac{\int \frac{A^{2}}{a + b x}\, dx + \int \frac{B^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}^{2}}{a + b x}\, dx + \int \frac{2 A B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}{a + b x}\, dx}{g}"," ",0,"(Integral(A**2/(a + b*x), x) + Integral(B**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))**2/(a + b*x), x) + Integral(2*A*B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))/(a + b*x), x))/g","F",0
215,1,450,0,3.803069," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2/(b*g*x+a*g)**2,x)","\frac{4 B d \left(A - 2 B\right) \log{\left(x + \frac{4 A B a d^{2} + 4 A B b c d - 8 B^{2} a d^{2} - 8 B^{2} b c d - \frac{4 B a^{2} d^{3} \left(A - 2 B\right)}{a d - b c} + \frac{8 B a b c d^{2} \left(A - 2 B\right)}{a d - b c} - \frac{4 B b^{2} c^{2} d \left(A - 2 B\right)}{a d - b c}}{8 A B b d^{2} - 16 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} - \frac{4 B d \left(A - 2 B\right) \log{\left(x + \frac{4 A B a d^{2} + 4 A B b c d - 8 B^{2} a d^{2} - 8 B^{2} b c d + \frac{4 B a^{2} d^{3} \left(A - 2 B\right)}{a d - b c} - \frac{8 B a b c d^{2} \left(A - 2 B\right)}{a d - b c} + \frac{4 B b^{2} c^{2} d \left(A - 2 B\right)}{a d - b c}}{8 A B b d^{2} - 16 B^{2} b d^{2}} \right)}}{b g^{2} \left(a d - b c\right)} + \frac{\left(- 2 A B + 4 B^{2}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{a b g^{2} + b^{2} g^{2} x} + \frac{\left(B^{2} c + B^{2} d x\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}^{2}}{a^{2} d g^{2} - a b c g^{2} + a b d g^{2} x - b^{2} c g^{2} x} + \frac{- A^{2} + 4 A B - 8 B^{2}}{a b g^{2} + b^{2} g^{2} x}"," ",0,"4*B*d*(A - 2*B)*log(x + (4*A*B*a*d**2 + 4*A*B*b*c*d - 8*B**2*a*d**2 - 8*B**2*b*c*d - 4*B*a**2*d**3*(A - 2*B)/(a*d - b*c) + 8*B*a*b*c*d**2*(A - 2*B)/(a*d - b*c) - 4*B*b**2*c**2*d*(A - 2*B)/(a*d - b*c))/(8*A*B*b*d**2 - 16*B**2*b*d**2))/(b*g**2*(a*d - b*c)) - 4*B*d*(A - 2*B)*log(x + (4*A*B*a*d**2 + 4*A*B*b*c*d - 8*B**2*a*d**2 - 8*B**2*b*c*d + 4*B*a**2*d**3*(A - 2*B)/(a*d - b*c) - 8*B*a*b*c*d**2*(A - 2*B)/(a*d - b*c) + 4*B*b**2*c**2*d*(A - 2*B)/(a*d - b*c))/(8*A*B*b*d**2 - 16*B**2*b*d**2))/(b*g**2*(a*d - b*c)) + (-2*A*B + 4*B**2)*log(e*(c + d*x)**2/(a + b*x)**2)/(a*b*g**2 + b**2*g**2*x) + (B**2*c + B**2*d*x)*log(e*(c + d*x)**2/(a + b*x)**2)**2/(a**2*d*g**2 - a*b*c*g**2 + a*b*d*g**2*x - b**2*c*g**2*x) + (-A**2 + 4*A*B - 8*B**2)/(a*b*g**2 + b**2*g**2*x)","B",0
216,1,877,0,6.647214," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2/(b*g*x+a*g)**3,x)","\frac{2 B d^{2} \left(A - 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} - 6 B^{2} a d^{3} - 6 B^{2} b c d^{2} - \frac{2 B a^{3} d^{5} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{6 B a^{2} b c d^{4} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{6 B a b^{2} c^{2} d^{3} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{2 B b^{3} c^{3} d^{2} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} - 12 B^{2} b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} - \frac{2 B d^{2} \left(A - 3 B\right) \log{\left(x + \frac{2 A B a d^{3} + 2 A B b c d^{2} - 6 B^{2} a d^{3} - 6 B^{2} b c d^{2} + \frac{2 B a^{3} d^{5} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{6 B a^{2} b c d^{4} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} + \frac{6 B a b^{2} c^{2} d^{3} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}} - \frac{2 B b^{3} c^{3} d^{2} \left(A - 3 B\right)}{\left(a d - b c\right)^{2}}}{4 A B b d^{3} - 12 B^{2} b d^{3}} \right)}}{b g^{3} \left(a d - b c\right)^{2}} + \frac{\left(2 B^{2} a c d + 2 B^{2} a d^{2} x - B^{2} b c^{2} + B^{2} b d^{2} x^{2}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}^{2}}{2 a^{4} d^{2} g^{3} - 4 a^{3} b c d g^{3} + 4 a^{3} b d^{2} g^{3} x + 2 a^{2} b^{2} c^{2} g^{3} - 8 a^{2} b^{2} c d g^{3} x + 2 a^{2} b^{2} d^{2} g^{3} x^{2} + 4 a b^{3} c^{2} g^{3} x - 4 a b^{3} c d g^{3} x^{2} + 2 b^{4} c^{2} g^{3} x^{2}} + \frac{\left(- A B a d + A B b c + 3 B^{2} a d - B^{2} b c + 2 B^{2} b d x\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{a^{3} b d g^{3} - a^{2} b^{2} c g^{3} + 2 a^{2} b^{2} d g^{3} x - 2 a b^{3} c g^{3} x + a b^{3} d g^{3} x^{2} - b^{4} c g^{3} x^{2}} + \frac{- A^{2} a d + A^{2} b c + 6 A B a d - 2 A B b c - 14 B^{2} a d + 2 B^{2} b c + x \left(4 A B b d - 12 B^{2} b d\right)}{2 a^{3} b d g^{3} - 2 a^{2} b^{2} c g^{3} + x^{2} \left(2 a b^{3} d g^{3} - 2 b^{4} c g^{3}\right) + x \left(4 a^{2} b^{2} d g^{3} - 4 a b^{3} c g^{3}\right)}"," ",0,"2*B*d**2*(A - 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 - 6*B**2*a*d**3 - 6*B**2*b*c*d**2 - 2*B*a**3*d**5*(A - 3*B)/(a*d - b*c)**2 + 6*B*a**2*b*c*d**4*(A - 3*B)/(a*d - b*c)**2 - 6*B*a*b**2*c**2*d**3*(A - 3*B)/(a*d - b*c)**2 + 2*B*b**3*c**3*d**2*(A - 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 - 12*B**2*b*d**3))/(b*g**3*(a*d - b*c)**2) - 2*B*d**2*(A - 3*B)*log(x + (2*A*B*a*d**3 + 2*A*B*b*c*d**2 - 6*B**2*a*d**3 - 6*B**2*b*c*d**2 + 2*B*a**3*d**5*(A - 3*B)/(a*d - b*c)**2 - 6*B*a**2*b*c*d**4*(A - 3*B)/(a*d - b*c)**2 + 6*B*a*b**2*c**2*d**3*(A - 3*B)/(a*d - b*c)**2 - 2*B*b**3*c**3*d**2*(A - 3*B)/(a*d - b*c)**2)/(4*A*B*b*d**3 - 12*B**2*b*d**3))/(b*g**3*(a*d - b*c)**2) + (2*B**2*a*c*d + 2*B**2*a*d**2*x - B**2*b*c**2 + B**2*b*d**2*x**2)*log(e*(c + d*x)**2/(a + b*x)**2)**2/(2*a**4*d**2*g**3 - 4*a**3*b*c*d*g**3 + 4*a**3*b*d**2*g**3*x + 2*a**2*b**2*c**2*g**3 - 8*a**2*b**2*c*d*g**3*x + 2*a**2*b**2*d**2*g**3*x**2 + 4*a*b**3*c**2*g**3*x - 4*a*b**3*c*d*g**3*x**2 + 2*b**4*c**2*g**3*x**2) + (-A*B*a*d + A*B*b*c + 3*B**2*a*d - B**2*b*c + 2*B**2*b*d*x)*log(e*(c + d*x)**2/(a + b*x)**2)/(a**3*b*d*g**3 - a**2*b**2*c*g**3 + 2*a**2*b**2*d*g**3*x - 2*a*b**3*c*g**3*x + a*b**3*d*g**3*x**2 - b**4*c*g**3*x**2) + (-A**2*a*d + A**2*b*c + 6*A*B*a*d - 2*A*B*b*c - 14*B**2*a*d + 2*B**2*b*c + x*(4*A*B*b*d - 12*B**2*b*d))/(2*a**3*b*d*g**3 - 2*a**2*b**2*c*g**3 + x**2*(2*a*b**3*d*g**3 - 2*b**4*c*g**3) + x*(4*a**2*b**2*d*g**3 - 4*a*b**3*c*g**3))","B",0
217,1,1561,0,35.552041," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2/(b*g*x+a*g)**4,x)","\frac{4 B d^{3} \left(3 A - 11 B\right) \log{\left(x + \frac{12 A B a d^{4} + 12 A B b c d^{3} - 44 B^{2} a d^{4} - 44 B^{2} b c d^{3} - \frac{4 B a^{4} d^{7} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{16 B a^{3} b c d^{6} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{24 B a^{2} b^{2} c^{2} d^{5} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{16 B a b^{3} c^{3} d^{4} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{4 B b^{4} c^{4} d^{3} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}}}{24 A B b d^{4} - 88 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} - \frac{4 B d^{3} \left(3 A - 11 B\right) \log{\left(x + \frac{12 A B a d^{4} + 12 A B b c d^{3} - 44 B^{2} a d^{4} - 44 B^{2} b c d^{3} + \frac{4 B a^{4} d^{7} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{16 B a^{3} b c d^{6} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{24 B a^{2} b^{2} c^{2} d^{5} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} - \frac{16 B a b^{3} c^{3} d^{4} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}} + \frac{4 B b^{4} c^{4} d^{3} \left(3 A - 11 B\right)}{\left(a d - b c\right)^{3}}}{24 A B b d^{4} - 88 B^{2} b d^{4}} \right)}}{9 b g^{4} \left(a d - b c\right)^{3}} + \frac{\left(3 B^{2} a^{2} c d^{2} + 3 B^{2} a^{2} d^{3} x - 3 B^{2} a b c^{2} d + 3 B^{2} a b d^{3} x^{2} + B^{2} b^{2} c^{3} + B^{2} b^{2} d^{3} x^{3}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}^{2}}{3 a^{6} d^{3} g^{4} - 9 a^{5} b c d^{2} g^{4} + 9 a^{5} b d^{3} g^{4} x + 9 a^{4} b^{2} c^{2} d g^{4} - 27 a^{4} b^{2} c d^{2} g^{4} x + 9 a^{4} b^{2} d^{3} g^{4} x^{2} - 3 a^{3} b^{3} c^{3} g^{4} + 27 a^{3} b^{3} c^{2} d g^{4} x - 27 a^{3} b^{3} c d^{2} g^{4} x^{2} + 3 a^{3} b^{3} d^{3} g^{4} x^{3} - 9 a^{2} b^{4} c^{3} g^{4} x + 27 a^{2} b^{4} c^{2} d g^{4} x^{2} - 9 a^{2} b^{4} c d^{2} g^{4} x^{3} - 9 a b^{5} c^{3} g^{4} x^{2} + 9 a b^{5} c^{2} d g^{4} x^{3} - 3 b^{6} c^{3} g^{4} x^{3}} + \frac{\left(- 6 A B a^{2} d^{2} + 12 A B a b c d - 6 A B b^{2} c^{2} + 22 B^{2} a^{2} d^{2} - 14 B^{2} a b c d + 30 B^{2} a b d^{2} x + 4 B^{2} b^{2} c^{2} - 6 B^{2} b^{2} c d x + 12 B^{2} b^{2} d^{2} x^{2}\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}}{9 a^{5} b d^{2} g^{4} - 18 a^{4} b^{2} c d g^{4} + 27 a^{4} b^{2} d^{2} g^{4} x + 9 a^{3} b^{3} c^{2} g^{4} - 54 a^{3} b^{3} c d g^{4} x + 27 a^{3} b^{3} d^{2} g^{4} x^{2} + 27 a^{2} b^{4} c^{2} g^{4} x - 54 a^{2} b^{4} c d g^{4} x^{2} + 9 a^{2} b^{4} d^{2} g^{4} x^{3} + 27 a b^{5} c^{2} g^{4} x^{2} - 18 a b^{5} c d g^{4} x^{3} + 9 b^{6} c^{2} g^{4} x^{3}} - \frac{9 A^{2} a^{2} d^{2} - 18 A^{2} a b c d + 9 A^{2} b^{2} c^{2} - 66 A B a^{2} d^{2} + 42 A B a b c d - 12 A B b^{2} c^{2} + 170 B^{2} a^{2} d^{2} - 46 B^{2} a b c d + 8 B^{2} b^{2} c^{2} + x^{2} \left(- 36 A B b^{2} d^{2} + 132 B^{2} b^{2} d^{2}\right) + x \left(- 90 A B a b d^{2} + 18 A B b^{2} c d + 294 B^{2} a b d^{2} - 30 B^{2} b^{2} c d\right)}{27 a^{5} b d^{2} g^{4} - 54 a^{4} b^{2} c d g^{4} + 27 a^{3} b^{3} c^{2} g^{4} + x^{3} \left(27 a^{2} b^{4} d^{2} g^{4} - 54 a b^{5} c d g^{4} + 27 b^{6} c^{2} g^{4}\right) + x^{2} \left(81 a^{3} b^{3} d^{2} g^{4} - 162 a^{2} b^{4} c d g^{4} + 81 a b^{5} c^{2} g^{4}\right) + x \left(81 a^{4} b^{2} d^{2} g^{4} - 162 a^{3} b^{3} c d g^{4} + 81 a^{2} b^{4} c^{2} g^{4}\right)}"," ",0,"4*B*d**3*(3*A - 11*B)*log(x + (12*A*B*a*d**4 + 12*A*B*b*c*d**3 - 44*B**2*a*d**4 - 44*B**2*b*c*d**3 - 4*B*a**4*d**7*(3*A - 11*B)/(a*d - b*c)**3 + 16*B*a**3*b*c*d**6*(3*A - 11*B)/(a*d - b*c)**3 - 24*B*a**2*b**2*c**2*d**5*(3*A - 11*B)/(a*d - b*c)**3 + 16*B*a*b**3*c**3*d**4*(3*A - 11*B)/(a*d - b*c)**3 - 4*B*b**4*c**4*d**3*(3*A - 11*B)/(a*d - b*c)**3)/(24*A*B*b*d**4 - 88*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) - 4*B*d**3*(3*A - 11*B)*log(x + (12*A*B*a*d**4 + 12*A*B*b*c*d**3 - 44*B**2*a*d**4 - 44*B**2*b*c*d**3 + 4*B*a**4*d**7*(3*A - 11*B)/(a*d - b*c)**3 - 16*B*a**3*b*c*d**6*(3*A - 11*B)/(a*d - b*c)**3 + 24*B*a**2*b**2*c**2*d**5*(3*A - 11*B)/(a*d - b*c)**3 - 16*B*a*b**3*c**3*d**4*(3*A - 11*B)/(a*d - b*c)**3 + 4*B*b**4*c**4*d**3*(3*A - 11*B)/(a*d - b*c)**3)/(24*A*B*b*d**4 - 88*B**2*b*d**4))/(9*b*g**4*(a*d - b*c)**3) + (3*B**2*a**2*c*d**2 + 3*B**2*a**2*d**3*x - 3*B**2*a*b*c**2*d + 3*B**2*a*b*d**3*x**2 + B**2*b**2*c**3 + B**2*b**2*d**3*x**3)*log(e*(c + d*x)**2/(a + b*x)**2)**2/(3*a**6*d**3*g**4 - 9*a**5*b*c*d**2*g**4 + 9*a**5*b*d**3*g**4*x + 9*a**4*b**2*c**2*d*g**4 - 27*a**4*b**2*c*d**2*g**4*x + 9*a**4*b**2*d**3*g**4*x**2 - 3*a**3*b**3*c**3*g**4 + 27*a**3*b**3*c**2*d*g**4*x - 27*a**3*b**3*c*d**2*g**4*x**2 + 3*a**3*b**3*d**3*g**4*x**3 - 9*a**2*b**4*c**3*g**4*x + 27*a**2*b**4*c**2*d*g**4*x**2 - 9*a**2*b**4*c*d**2*g**4*x**3 - 9*a*b**5*c**3*g**4*x**2 + 9*a*b**5*c**2*d*g**4*x**3 - 3*b**6*c**3*g**4*x**3) + (-6*A*B*a**2*d**2 + 12*A*B*a*b*c*d - 6*A*B*b**2*c**2 + 22*B**2*a**2*d**2 - 14*B**2*a*b*c*d + 30*B**2*a*b*d**2*x + 4*B**2*b**2*c**2 - 6*B**2*b**2*c*d*x + 12*B**2*b**2*d**2*x**2)*log(e*(c + d*x)**2/(a + b*x)**2)/(9*a**5*b*d**2*g**4 - 18*a**4*b**2*c*d*g**4 + 27*a**4*b**2*d**2*g**4*x + 9*a**3*b**3*c**2*g**4 - 54*a**3*b**3*c*d*g**4*x + 27*a**3*b**3*d**2*g**4*x**2 + 27*a**2*b**4*c**2*g**4*x - 54*a**2*b**4*c*d*g**4*x**2 + 9*a**2*b**4*d**2*g**4*x**3 + 27*a*b**5*c**2*g**4*x**2 - 18*a*b**5*c*d*g**4*x**3 + 9*b**6*c**2*g**4*x**3) - (9*A**2*a**2*d**2 - 18*A**2*a*b*c*d + 9*A**2*b**2*c**2 - 66*A*B*a**2*d**2 + 42*A*B*a*b*c*d - 12*A*B*b**2*c**2 + 170*B**2*a**2*d**2 - 46*B**2*a*b*c*d + 8*B**2*b**2*c**2 + x**2*(-36*A*B*b**2*d**2 + 132*B**2*b**2*d**2) + x*(-90*A*B*a*b*d**2 + 18*A*B*b**2*c*d + 294*B**2*a*b*d**2 - 30*B**2*b**2*c*d))/(27*a**5*b*d**2*g**4 - 54*a**4*b**2*c*d*g**4 + 27*a**3*b**3*c**2*g**4 + x**3*(27*a**2*b**4*d**2*g**4 - 54*a*b**5*c*d*g**4 + 27*b**6*c**2*g**4) + x**2*(81*a**3*b**3*d**2*g**4 - 162*a**2*b**4*c*d*g**4 + 81*a*b**5*c**2*g**4) + x*(81*a**4*b**2*d**2*g**4 - 162*a**3*b**3*c*d*g**4 + 81*a**2*b**4*c**2*g**4))","B",0
218,-1,0,0,0.000000," ","integrate((A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2/(b*g*x+a*g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
219,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","g^{2} \left(\int \frac{a^{2}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{b^{2} x^{2}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{2 a b x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx\right)"," ",0,"g**2*(Integral(a**2/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(b**2*x**2/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(2*a*b*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x))","F",0
220,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","g \left(\int \frac{a}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{b x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx\right)"," ",0,"g*(Integral(a/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(b*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x))","F",0
221,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{\int \frac{1}{A a + A b x + B a \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + B b x \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx}{g}"," ",0,"Integral(1/(A*a + A*b*x + B*a*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + B*b*x*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x)/g","F",0
222,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + 2 B a b x \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + B b^{2} x^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx}{g^{2}}"," ",0,"Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + 2*B*a*b*x*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + B*b**2*x**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x)/g**2","F",0
223,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2)),x)","\frac{\int \frac{1}{A a^{3} + 3 A a^{2} b x + 3 A a b^{2} x^{2} + A b^{3} x^{3} + B a^{3} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + 3 B a^{2} b x \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + 3 B a b^{2} x^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + B b^{3} x^{3} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx}{g^{3}}"," ",0,"Integral(1/(A*a**3 + 3*A*a**2*b*x + 3*A*a*b**2*x**2 + A*b**3*x**3 + B*a**3*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + 3*B*a**2*b*x*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + 3*B*a*b**2*x**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + B*b**3*x**3*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x)/g**3","F",0
224,0,0,0,0.000000," ","integrate((b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\frac{- a^{3} c g^{2} - a^{3} d g^{2} x - 3 a^{2} b c g^{2} x - 3 a^{2} b d g^{2} x^{2} - 3 a b^{2} c g^{2} x^{2} - 3 a b^{2} d g^{2} x^{3} - b^{3} c g^{2} x^{3} - b^{3} d g^{2} x^{4}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}} + \frac{g^{2} \left(\int \frac{a^{3} d}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{3 a^{2} b c}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{3 b^{3} c x^{2}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{4 b^{3} d x^{3}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{6 a b^{2} c x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{9 a b^{2} d x^{2}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{6 a^{2} b d x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx\right)}{2 B \left(a d - b c\right)}"," ",0,"(-a**3*c*g**2 - a**3*d*g**2*x - 3*a**2*b*c*g**2*x - 3*a**2*b*d*g**2*x**2 - 3*a*b**2*c*g**2*x**2 - 3*a*b**2*d*g**2*x**3 - b**3*c*g**2*x**3 - b**3*d*g**2*x**4)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(c + d*x)**2/(a + b*x)**2)) + g**2*(Integral(a**3*d/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(3*a**2*b*c/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(3*b**3*c*x**2/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(4*b**3*d*x**3/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(6*a*b**2*c*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(9*a*b**2*d*x**2/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(6*a**2*b*d*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
225,0,0,0,0.000000," ","integrate((b*g*x+a*g)/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\frac{- a^{2} c g - a^{2} d g x - 2 a b c g x - 2 a b d g x^{2} - b^{2} c g x^{2} - b^{2} d g x^{3}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}} + \frac{g \left(\int \frac{a^{2} d}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{2 a b c}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{2 b^{2} c x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{3 b^{2} d x^{2}}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx + \int \frac{4 a b d x}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx\right)}{2 B \left(a d - b c\right)}"," ",0,"(-a**2*c*g - a**2*d*g*x - 2*a*b*c*g*x - 2*a*b*d*g*x**2 - b**2*c*g*x**2 - b**2*d*g*x**3)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(c + d*x)**2/(a + b*x)**2)) + g*(Integral(a**2*d/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(2*a*b*c/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(2*b**2*c*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(3*b**2*d*x**2/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x) + Integral(4*a*b*d*x/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
226,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\frac{- c - d x}{2 A B a d g - 2 A B b c g + \left(2 B^{2} a d g - 2 B^{2} b c g\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}} + \frac{d \int \frac{1}{A + B \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx}{2 B g \left(a d - b c\right)}"," ",0,"(-c - d*x)/(2*A*B*a*d*g - 2*A*B*b*c*g + (2*B**2*a*d*g - 2*B**2*b*c*g)*log(e*(c + d*x)**2/(a + b*x)**2)) + d*Integral(1/(A + B*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x)/(2*B*g*(a*d - b*c))","F",0
227,0,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\frac{- c - d x}{2 A B a^{2} d g^{2} - 2 A B a b c g^{2} + 2 A B a b d g^{2} x - 2 A B b^{2} c g^{2} x + \left(2 B^{2} a^{2} d g^{2} - 2 B^{2} a b c g^{2} + 2 B^{2} a b d g^{2} x - 2 B^{2} b^{2} c g^{2} x\right) \log{\left(\frac{e \left(c + d x\right)^{2}}{\left(a + b x\right)^{2}} \right)}} + \frac{\int \frac{1}{A a^{2} + 2 A a b x + A b^{2} x^{2} + B a^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + 2 B a b x \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)} + B b^{2} x^{2} \log{\left(\frac{c^{2} e}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{2 c d e x}{a^{2} + 2 a b x + b^{2} x^{2}} + \frac{d^{2} e x^{2}}{a^{2} + 2 a b x + b^{2} x^{2}} \right)}}\, dx}{2 B g^{2}}"," ",0,"(-c - d*x)/(2*A*B*a**2*d*g**2 - 2*A*B*a*b*c*g**2 + 2*A*B*a*b*d*g**2*x - 2*A*B*b**2*c*g**2*x + (2*B**2*a**2*d*g**2 - 2*B**2*a*b*c*g**2 + 2*B**2*a*b*d*g**2*x - 2*B**2*b**2*c*g**2*x)*log(e*(c + d*x)**2/(a + b*x)**2)) + Integral(1/(A*a**2 + 2*A*a*b*x + A*b**2*x**2 + B*a**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + 2*B*a*b*x*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2)) + B*b**2*x**2*log(c**2*e/(a**2 + 2*a*b*x + b**2*x**2) + 2*c*d*e*x/(a**2 + 2*a*b*x + b**2*x**2) + d**2*e*x**2/(a**2 + 2*a*b*x + b**2*x**2))), x)/(2*B*g**2)","F",0
228,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**3/(A+B*ln(e*(d*x+c)**2/(b*x+a)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
229,-1,0,0,0.000000," ","integrate(1/(b*g*x+a*g)**2/(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
230,1,1436,0,26.354018," ","integrate((g*x+f)**4*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A g^{4} x^{5}}{5} + \frac{B a \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{4} - 5 B a^{4} b c d^{4} f g^{3} + 10 B a^{3} b^{2} c d^{4} f^{2} g^{2} - 10 B a^{2} b^{3} c d^{4} f^{3} g + \frac{B a^{2} d^{5} \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right)}{b} + B a b^{4} c^{5} g^{4} - 5 B a b^{4} c^{4} d f g^{3} + 10 B a b^{4} c^{3} d^{2} f^{2} g^{2} - 10 B a b^{4} c^{2} d^{3} f^{3} g + 10 B a b^{4} c d^{4} f^{4} - B a c d^{4} \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right)}{B a^{5} d^{5} g^{4} - 5 B a^{4} b d^{5} f g^{3} + 10 B a^{3} b^{2} d^{5} f^{2} g^{2} - 10 B a^{2} b^{3} d^{5} f^{3} g + 5 B a b^{4} d^{5} f^{4} + B b^{5} c^{5} g^{4} - 5 B b^{5} c^{4} d f g^{3} + 10 B b^{5} c^{3} d^{2} f^{2} g^{2} - 10 B b^{5} c^{2} d^{3} f^{3} g + 5 B b^{5} c d^{4} f^{4}} \right)}}{5 b^{5}} - \frac{B c \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right) \log{\left(x + \frac{B a^{5} c d^{4} g^{4} - 5 B a^{4} b c d^{4} f g^{3} + 10 B a^{3} b^{2} c d^{4} f^{2} g^{2} - 10 B a^{2} b^{3} c d^{4} f^{3} g + B a b^{4} c^{5} g^{4} - 5 B a b^{4} c^{4} d f g^{3} + 10 B a b^{4} c^{3} d^{2} f^{2} g^{2} - 10 B a b^{4} c^{2} d^{3} f^{3} g + 10 B a b^{4} c d^{4} f^{4} - B a b^{4} c \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right) + \frac{B b^{5} c^{2} \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right)}{d}}{B a^{5} d^{5} g^{4} - 5 B a^{4} b d^{5} f g^{3} + 10 B a^{3} b^{2} d^{5} f^{2} g^{2} - 10 B a^{2} b^{3} d^{5} f^{3} g + 5 B a b^{4} d^{5} f^{4} + B b^{5} c^{5} g^{4} - 5 B b^{5} c^{4} d f g^{3} + 10 B b^{5} c^{3} d^{2} f^{2} g^{2} - 10 B b^{5} c^{2} d^{3} f^{3} g + 5 B b^{5} c d^{4} f^{4}} \right)}}{5 d^{5}} + x^{4} \left(A f g^{3} + \frac{B a g^{4}}{20 b} - \frac{B c g^{4}}{20 d}\right) + x^{3} \left(2 A f^{2} g^{2} - \frac{B a^{2} g^{4}}{15 b^{2}} + \frac{B a f g^{3}}{3 b} + \frac{B c^{2} g^{4}}{15 d^{2}} - \frac{B c f g^{3}}{3 d}\right) + x^{2} \left(2 A f^{3} g + \frac{B a^{3} g^{4}}{10 b^{3}} - \frac{B a^{2} f g^{3}}{2 b^{2}} + \frac{B a f^{2} g^{2}}{b} - \frac{B c^{3} g^{4}}{10 d^{3}} + \frac{B c^{2} f g^{3}}{2 d^{2}} - \frac{B c f^{2} g^{2}}{d}\right) + x \left(A f^{4} - \frac{B a^{4} g^{4}}{5 b^{4}} + \frac{B a^{3} f g^{3}}{b^{3}} - \frac{2 B a^{2} f^{2} g^{2}}{b^{2}} + \frac{2 B a f^{3} g}{b} + \frac{B c^{4} g^{4}}{5 d^{4}} - \frac{B c^{3} f g^{3}}{d^{3}} + \frac{2 B c^{2} f^{2} g^{2}}{d^{2}} - \frac{2 B c f^{3} g}{d}\right) + \left(B f^{4} x + 2 B f^{3} g x^{2} + 2 B f^{2} g^{2} x^{3} + B f g^{3} x^{4} + \frac{B g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*g**4*x**5/5 + B*a*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4)*log(x + (B*a**5*c*d**4*g**4 - 5*B*a**4*b*c*d**4*f*g**3 + 10*B*a**3*b**2*c*d**4*f**2*g**2 - 10*B*a**2*b**3*c*d**4*f**3*g + B*a**2*d**5*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4)/b + B*a*b**4*c**5*g**4 - 5*B*a*b**4*c**4*d*f*g**3 + 10*B*a*b**4*c**3*d**2*f**2*g**2 - 10*B*a*b**4*c**2*d**3*f**3*g + 10*B*a*b**4*c*d**4*f**4 - B*a*c*d**4*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4))/(B*a**5*d**5*g**4 - 5*B*a**4*b*d**5*f*g**3 + 10*B*a**3*b**2*d**5*f**2*g**2 - 10*B*a**2*b**3*d**5*f**3*g + 5*B*a*b**4*d**5*f**4 + B*b**5*c**5*g**4 - 5*B*b**5*c**4*d*f*g**3 + 10*B*b**5*c**3*d**2*f**2*g**2 - 10*B*b**5*c**2*d**3*f**3*g + 5*B*b**5*c*d**4*f**4))/(5*b**5) - B*c*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4)*log(x + (B*a**5*c*d**4*g**4 - 5*B*a**4*b*c*d**4*f*g**3 + 10*B*a**3*b**2*c*d**4*f**2*g**2 - 10*B*a**2*b**3*c*d**4*f**3*g + B*a*b**4*c**5*g**4 - 5*B*a*b**4*c**4*d*f*g**3 + 10*B*a*b**4*c**3*d**2*f**2*g**2 - 10*B*a*b**4*c**2*d**3*f**3*g + 10*B*a*b**4*c*d**4*f**4 - B*a*b**4*c*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4) + B*b**5*c**2*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4)/d)/(B*a**5*d**5*g**4 - 5*B*a**4*b*d**5*f*g**3 + 10*B*a**3*b**2*d**5*f**2*g**2 - 10*B*a**2*b**3*d**5*f**3*g + 5*B*a*b**4*d**5*f**4 + B*b**5*c**5*g**4 - 5*B*b**5*c**4*d*f*g**3 + 10*B*b**5*c**3*d**2*f**2*g**2 - 10*B*b**5*c**2*d**3*f**3*g + 5*B*b**5*c*d**4*f**4))/(5*d**5) + x**4*(A*f*g**3 + B*a*g**4/(20*b) - B*c*g**4/(20*d)) + x**3*(2*A*f**2*g**2 - B*a**2*g**4/(15*b**2) + B*a*f*g**3/(3*b) + B*c**2*g**4/(15*d**2) - B*c*f*g**3/(3*d)) + x**2*(2*A*f**3*g + B*a**3*g**4/(10*b**3) - B*a**2*f*g**3/(2*b**2) + B*a*f**2*g**2/b - B*c**3*g**4/(10*d**3) + B*c**2*f*g**3/(2*d**2) - B*c*f**2*g**2/d) + x*(A*f**4 - B*a**4*g**4/(5*b**4) + B*a**3*f*g**3/b**3 - 2*B*a**2*f**2*g**2/b**2 + 2*B*a*f**3*g/b + B*c**4*g**4/(5*d**4) - B*c**3*f*g**3/d**3 + 2*B*c**2*f**2*g**2/d**2 - 2*B*c*f**3*g/d) + (B*f**4*x + 2*B*f**3*g*x**2 + 2*B*f**2*g**2*x**3 + B*f*g**3*x**4 + B*g**4*x**5/5)*log(e*(a + b*x)/(c + d*x))","B",0
231,1,998,0,13.268313," ","integrate((g*x+f)**3*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A g^{3} x^{4}}{4} - \frac{B a \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{3} - 4 B a^{3} b c d^{3} f g^{2} + 6 B a^{2} b^{2} c d^{3} f^{2} g + \frac{B a^{2} d^{4} \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right)}{b} + B a b^{3} c^{4} g^{3} - 4 B a b^{3} c^{3} d f g^{2} + 6 B a b^{3} c^{2} d^{2} f^{2} g - 8 B a b^{3} c d^{3} f^{3} - B a c d^{3} \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right)}{B a^{4} d^{4} g^{3} - 4 B a^{3} b d^{4} f g^{2} + 6 B a^{2} b^{2} d^{4} f^{2} g - 4 B a b^{3} d^{4} f^{3} + B b^{4} c^{4} g^{3} - 4 B b^{4} c^{3} d f g^{2} + 6 B b^{4} c^{2} d^{2} f^{2} g - 4 B b^{4} c d^{3} f^{3}} \right)}}{4 b^{4}} + \frac{B c \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{3} - 4 B a^{3} b c d^{3} f g^{2} + 6 B a^{2} b^{2} c d^{3} f^{2} g + B a b^{3} c^{4} g^{3} - 4 B a b^{3} c^{3} d f g^{2} + 6 B a b^{3} c^{2} d^{2} f^{2} g - 8 B a b^{3} c d^{3} f^{3} - B a b^{3} c \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right) + \frac{B b^{4} c^{2} \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right)}{d}}{B a^{4} d^{4} g^{3} - 4 B a^{3} b d^{4} f g^{2} + 6 B a^{2} b^{2} d^{4} f^{2} g - 4 B a b^{3} d^{4} f^{3} + B b^{4} c^{4} g^{3} - 4 B b^{4} c^{3} d f g^{2} + 6 B b^{4} c^{2} d^{2} f^{2} g - 4 B b^{4} c d^{3} f^{3}} \right)}}{4 d^{4}} + x^{3} \left(A f g^{2} + \frac{B a g^{3}}{12 b} - \frac{B c g^{3}}{12 d}\right) + x^{2} \left(\frac{3 A f^{2} g}{2} - \frac{B a^{2} g^{3}}{8 b^{2}} + \frac{B a f g^{2}}{2 b} + \frac{B c^{2} g^{3}}{8 d^{2}} - \frac{B c f g^{2}}{2 d}\right) + x \left(A f^{3} + \frac{B a^{3} g^{3}}{4 b^{3}} - \frac{B a^{2} f g^{2}}{b^{2}} + \frac{3 B a f^{2} g}{2 b} - \frac{B c^{3} g^{3}}{4 d^{3}} + \frac{B c^{2} f g^{2}}{d^{2}} - \frac{3 B c f^{2} g}{2 d}\right) + \left(B f^{3} x + \frac{3 B f^{2} g x^{2}}{2} + B f g^{2} x^{3} + \frac{B g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*g**3*x**4/4 - B*a*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2)*log(x + (B*a**4*c*d**3*g**3 - 4*B*a**3*b*c*d**3*f*g**2 + 6*B*a**2*b**2*c*d**3*f**2*g + B*a**2*d**4*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2)/b + B*a*b**3*c**4*g**3 - 4*B*a*b**3*c**3*d*f*g**2 + 6*B*a*b**3*c**2*d**2*f**2*g - 8*B*a*b**3*c*d**3*f**3 - B*a*c*d**3*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2))/(B*a**4*d**4*g**3 - 4*B*a**3*b*d**4*f*g**2 + 6*B*a**2*b**2*d**4*f**2*g - 4*B*a*b**3*d**4*f**3 + B*b**4*c**4*g**3 - 4*B*b**4*c**3*d*f*g**2 + 6*B*b**4*c**2*d**2*f**2*g - 4*B*b**4*c*d**3*f**3))/(4*b**4) + B*c*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2)*log(x + (B*a**4*c*d**3*g**3 - 4*B*a**3*b*c*d**3*f*g**2 + 6*B*a**2*b**2*c*d**3*f**2*g + B*a*b**3*c**4*g**3 - 4*B*a*b**3*c**3*d*f*g**2 + 6*B*a*b**3*c**2*d**2*f**2*g - 8*B*a*b**3*c*d**3*f**3 - B*a*b**3*c*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2) + B*b**4*c**2*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2)/d)/(B*a**4*d**4*g**3 - 4*B*a**3*b*d**4*f*g**2 + 6*B*a**2*b**2*d**4*f**2*g - 4*B*a*b**3*d**4*f**3 + B*b**4*c**4*g**3 - 4*B*b**4*c**3*d*f*g**2 + 6*B*b**4*c**2*d**2*f**2*g - 4*B*b**4*c*d**3*f**3))/(4*d**4) + x**3*(A*f*g**2 + B*a*g**3/(12*b) - B*c*g**3/(12*d)) + x**2*(3*A*f**2*g/2 - B*a**2*g**3/(8*b**2) + B*a*f*g**2/(2*b) + B*c**2*g**3/(8*d**2) - B*c*f*g**2/(2*d)) + x*(A*f**3 + B*a**3*g**3/(4*b**3) - B*a**2*f*g**2/b**2 + 3*B*a*f**2*g/(2*b) - B*c**3*g**3/(4*d**3) + B*c**2*f*g**2/d**2 - 3*B*c*f**2*g/(2*d)) + (B*f**3*x + 3*B*f**2*g*x**2/2 + B*f*g**2*x**3 + B*g**3*x**4/4)*log(e*(a + b*x)/(c + d*x))","B",0
232,1,658,0,6.544151," ","integrate((g*x+f)**2*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A g^{2} x^{3}}{3} + \frac{B a \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right) \log{\left(x + \frac{B a^{3} c d^{2} g^{2} - 3 B a^{2} b c d^{2} f g + \frac{B a^{2} d^{3} \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right)}{b} + B a b^{2} c^{3} g^{2} - 3 B a b^{2} c^{2} d f g + 6 B a b^{2} c d^{2} f^{2} - B a c d^{2} \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right)}{B a^{3} d^{3} g^{2} - 3 B a^{2} b d^{3} f g + 3 B a b^{2} d^{3} f^{2} + B b^{3} c^{3} g^{2} - 3 B b^{3} c^{2} d f g + 3 B b^{3} c d^{2} f^{2}} \right)}}{3 b^{3}} - \frac{B c \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right) \log{\left(x + \frac{B a^{3} c d^{2} g^{2} - 3 B a^{2} b c d^{2} f g + B a b^{2} c^{3} g^{2} - 3 B a b^{2} c^{2} d f g + 6 B a b^{2} c d^{2} f^{2} - B a b^{2} c \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right) + \frac{B b^{3} c^{2} \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right)}{d}}{B a^{3} d^{3} g^{2} - 3 B a^{2} b d^{3} f g + 3 B a b^{2} d^{3} f^{2} + B b^{3} c^{3} g^{2} - 3 B b^{3} c^{2} d f g + 3 B b^{3} c d^{2} f^{2}} \right)}}{3 d^{3}} + x^{2} \left(A f g + \frac{B a g^{2}}{6 b} - \frac{B c g^{2}}{6 d}\right) + x \left(A f^{2} - \frac{B a^{2} g^{2}}{3 b^{2}} + \frac{B a f g}{b} + \frac{B c^{2} g^{2}}{3 d^{2}} - \frac{B c f g}{d}\right) + \left(B f^{2} x + B f g x^{2} + \frac{B g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*g**2*x**3/3 + B*a*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2)*log(x + (B*a**3*c*d**2*g**2 - 3*B*a**2*b*c*d**2*f*g + B*a**2*d**3*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2)/b + B*a*b**2*c**3*g**2 - 3*B*a*b**2*c**2*d*f*g + 6*B*a*b**2*c*d**2*f**2 - B*a*c*d**2*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2))/(B*a**3*d**3*g**2 - 3*B*a**2*b*d**3*f*g + 3*B*a*b**2*d**3*f**2 + B*b**3*c**3*g**2 - 3*B*b**3*c**2*d*f*g + 3*B*b**3*c*d**2*f**2))/(3*b**3) - B*c*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2)*log(x + (B*a**3*c*d**2*g**2 - 3*B*a**2*b*c*d**2*f*g + B*a*b**2*c**3*g**2 - 3*B*a*b**2*c**2*d*f*g + 6*B*a*b**2*c*d**2*f**2 - B*a*b**2*c*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2) + B*b**3*c**2*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2)/d)/(B*a**3*d**3*g**2 - 3*B*a**2*b*d**3*f*g + 3*B*a*b**2*d**3*f**2 + B*b**3*c**3*g**2 - 3*B*b**3*c**2*d*f*g + 3*B*b**3*c*d**2*f**2))/(3*d**3) + x**2*(A*f*g + B*a*g**2/(6*b) - B*c*g**2/(6*d)) + x*(A*f**2 - B*a**2*g**2/(3*b**2) + B*a*f*g/b + B*c**2*g**2/(3*d**2) - B*c*f*g/d) + (B*f**2*x + B*f*g*x**2 + B*g**2*x**3/3)*log(e*(a + b*x)/(c + d*x))","B",0
233,1,318,0,3.005814," ","integrate((g*x+f)*(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\frac{A g x^{2}}{2} - \frac{B a \left(a g - 2 b f\right) \log{\left(x + \frac{B a^{2} c d g + \frac{B a^{2} d^{2} \left(a g - 2 b f\right)}{b} + B a b c^{2} g - 4 B a b c d f - B a c d \left(a g - 2 b f\right)}{B a^{2} d^{2} g - 2 B a b d^{2} f + B b^{2} c^{2} g - 2 B b^{2} c d f} \right)}}{2 b^{2}} + \frac{B c \left(c g - 2 d f\right) \log{\left(x + \frac{B a^{2} c d g + B a b c^{2} g - 4 B a b c d f - B a b c \left(c g - 2 d f\right) + \frac{B b^{2} c^{2} \left(c g - 2 d f\right)}{d}}{B a^{2} d^{2} g - 2 B a b d^{2} f + B b^{2} c^{2} g - 2 B b^{2} c d f} \right)}}{2 d^{2}} + x \left(A f + \frac{B a g}{2 b} - \frac{B c g}{2 d}\right) + \left(B f x + \frac{B g x^{2}}{2}\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*g*x**2/2 - B*a*(a*g - 2*b*f)*log(x + (B*a**2*c*d*g + B*a**2*d**2*(a*g - 2*b*f)/b + B*a*b*c**2*g - 4*B*a*b*c*d*f - B*a*c*d*(a*g - 2*b*f))/(B*a**2*d**2*g - 2*B*a*b*d**2*f + B*b**2*c**2*g - 2*B*b**2*c*d*f))/(2*b**2) + B*c*(c*g - 2*d*f)*log(x + (B*a**2*c*d*g + B*a*b*c**2*g - 4*B*a*b*c*d*f - B*a*b*c*(c*g - 2*d*f) + B*b**2*c**2*(c*g - 2*d*f)/d)/(B*a**2*d**2*g - 2*B*a*b*d**2*f + B*b**2*c**2*g - 2*B*b**2*c*d*f))/(2*d**2) + x*(A*f + B*a*g/(2*b) - B*c*g/(2*d)) + (B*f*x + B*g*x**2/2)*log(e*(a + b*x)/(c + d*x))","B",0
234,1,83,0,0.999095," ","integrate(A+B*ln(e*(b*x+a)/(d*x+c)),x)","A x + \frac{B a \log{\left(x + \frac{\frac{B a^{2} d}{b} + B a c}{B a d + B b c} \right)}}{b} - \frac{B c \log{\left(x + \frac{B a c + \frac{B b c^{2}}{d}}{B a d + B b c} \right)}}{d} + B x \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}"," ",0,"A*x + B*a*log(x + (B*a**2*d/b + B*a*c)/(B*a*d + B*b*c))/b - B*c*log(x + (B*a*c + B*b*c**2/d)/(B*a*d + B*b*c))/d + B*x*log(e*(a + b*x)/(c + d*x))","A",0
235,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(g*x+f),x)","\int \frac{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}{f + g x}\, dx"," ",0,"Integral((A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x)))/(f + g*x), x)","F",0
236,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(g*x+f)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
238,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
239,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
240,-1,0,0,0.000000," ","integrate((g*x+f)**3*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
241,-1,0,0,0.000000," ","integrate((g*x+f)**2*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
242,-1,0,0,0.000000," ","integrate((g*x+f)*(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
243,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
244,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(g*x+f),x)","\int \frac{\left(A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}\right)^{2}}{f + g x}\, dx"," ",0,"Integral((A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x)))**2/(f + g*x), x)","F",0
245,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(g*x+f)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
246,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
247,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
248,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)/(d*x+c)))**2/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
249,1,20,0,0.151905," ","integrate(ln((1+x)/(-1+x))/x**2,x)","2 \log{\left(x \right)} - \log{\left(x^{2} - 1 \right)} - \frac{\log{\left(\frac{x + 1}{x - 1} \right)}}{x}"," ",0,"2*log(x) - log(x**2 - 1) - log((x + 1)/(x - 1))/x","A",0
250,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\int \frac{\left(f + g x\right)^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx"," ",0,"Integral((f + g*x)**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)","F",0
251,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\int \frac{f + g x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx"," ",0,"Integral((f + g*x)/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x)","F",0
252,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\int \frac{1}{A + B \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}}\, dx"," ",0,"Integral(1/(A + B*log(e*(a + b*x)/(c + d*x))), x)","F",0
253,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\int \frac{1}{\left(A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}\right) \left(f + g x\right)}\, dx"," ",0,"Integral(1/((A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x)))*(f + g*x)), x)","F",0
254,0,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\int \frac{1}{\left(A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}\right) \left(f + g x\right)^{2}}\, dx"," ",0,"Integral(1/((A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x)))*(f + g*x)**2), x)","F",0
255,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*(b*x+a)/(d*x+c))),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
256,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{a c f^{2} + 2 a c f g x + a c g^{2} x^{2} + a d f^{2} x + 2 a d f g x^{2} + a d g^{2} x^{3} + b c f^{2} x + 2 b c f g x^{2} + b c g^{2} x^{3} + b d f^{2} x^{2} + 2 b d f g x^{3} + b d g^{2} x^{4}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{\int \frac{a d f^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{b c f^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 a c f g}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 a c g^{2} x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 a d g^{2} x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 b c g^{2} x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 b d f^{2} x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{4 b d g^{2} x^{3}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{4 a d f g x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{4 b c f g x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{6 b d f g x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{B \left(a d - b c\right)}"," ",0,"(a*c*f**2 + 2*a*c*f*g*x + a*c*g**2*x**2 + a*d*f**2*x + 2*a*d*f*g*x**2 + a*d*g**2*x**3 + b*c*f**2*x + 2*b*c*f*g*x**2 + b*c*g**2*x**3 + b*d*f**2*x**2 + 2*b*d*f*g*x**3 + b*d*g**2*x**4)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(a + b*x)/(c + d*x))) - (Integral(a*d*f**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(b*c*f**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*a*c*f*g/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*a*c*g**2*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*a*d*g**2*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*b*c*g**2*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*b*d*f**2*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(4*b*d*g**2*x**3/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(4*a*d*f*g*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(4*b*c*f*g*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(6*b*d*f*g*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))/(B*(a*d - b*c))","F",0
257,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{a c f + a c g x + a d f x + a d g x^{2} + b c f x + b c g x^{2} + b d f x^{2} + b d g x^{3}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{\int \frac{a c g}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{a d f}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{b c f}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 a d g x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 b c g x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 b d f x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{3 b d g x^{2}}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{B \left(a d - b c\right)}"," ",0,"(a*c*f + a*c*g*x + a*d*f*x + a*d*g*x**2 + b*c*f*x + b*c*g*x**2 + b*d*f*x**2 + b*d*g*x**3)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(a + b*x)/(c + d*x))) - (Integral(a*c*g/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(a*d*f/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(b*c*f/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*a*d*g*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*b*c*g*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*b*d*f*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(3*b*d*g*x**2/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))/(B*(a*d - b*c))","F",0
258,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\frac{a c + a d x + b c x + b d x^{2}}{A B a d - A B b c + \left(B^{2} a d - B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)}{c + d x} \right)}} - \frac{\int \frac{a d}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{b c}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx + \int \frac{2 b d x}{A + B \log{\left(\frac{a e}{c + d x} + \frac{b e x}{c + d x} \right)}}\, dx}{B \left(a d - b c\right)}"," ",0,"(a*c + a*d*x + b*c*x + b*d*x**2)/(A*B*a*d - A*B*b*c + (B**2*a*d - B**2*b*c)*log(e*(a + b*x)/(c + d*x))) - (Integral(a*d/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(b*c/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x) + Integral(2*b*d*x/(A + B*log(a*e/(c + d*x) + b*e*x/(c + d*x))), x))/(B*(a*d - b*c))","F",0
259,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
260,-1,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*(b*x+a)/(d*x+c)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
262,1,1477,0,26.588743," ","integrate((g*x+f)**4*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A g^{4} x^{5}}{5} + \frac{2 B a \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right) \log{\left(x + \frac{2 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c d^{4} f g^{3} + 20 B a^{3} b^{2} c d^{4} f^{2} g^{2} - 20 B a^{2} b^{3} c d^{4} f^{3} g + \frac{2 B a^{2} d^{5} \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right)}{b} + 2 B a b^{4} c^{5} g^{4} - 10 B a b^{4} c^{4} d f g^{3} + 20 B a b^{4} c^{3} d^{2} f^{2} g^{2} - 20 B a b^{4} c^{2} d^{3} f^{3} g + 20 B a b^{4} c d^{4} f^{4} - 2 B a c d^{4} \left(a^{4} g^{4} - 5 a^{3} b f g^{3} + 10 a^{2} b^{2} f^{2} g^{2} - 10 a b^{3} f^{3} g + 5 b^{4} f^{4}\right)}{2 B a^{5} d^{5} g^{4} - 10 B a^{4} b d^{5} f g^{3} + 20 B a^{3} b^{2} d^{5} f^{2} g^{2} - 20 B a^{2} b^{3} d^{5} f^{3} g + 10 B a b^{4} d^{5} f^{4} + 2 B b^{5} c^{5} g^{4} - 10 B b^{5} c^{4} d f g^{3} + 20 B b^{5} c^{3} d^{2} f^{2} g^{2} - 20 B b^{5} c^{2} d^{3} f^{3} g + 10 B b^{5} c d^{4} f^{4}} \right)}}{5 b^{5}} - \frac{2 B c \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right) \log{\left(x + \frac{2 B a^{5} c d^{4} g^{4} - 10 B a^{4} b c d^{4} f g^{3} + 20 B a^{3} b^{2} c d^{4} f^{2} g^{2} - 20 B a^{2} b^{3} c d^{4} f^{3} g + 2 B a b^{4} c^{5} g^{4} - 10 B a b^{4} c^{4} d f g^{3} + 20 B a b^{4} c^{3} d^{2} f^{2} g^{2} - 20 B a b^{4} c^{2} d^{3} f^{3} g + 20 B a b^{4} c d^{4} f^{4} - 2 B a b^{4} c \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right) + \frac{2 B b^{5} c^{2} \left(c^{4} g^{4} - 5 c^{3} d f g^{3} + 10 c^{2} d^{2} f^{2} g^{2} - 10 c d^{3} f^{3} g + 5 d^{4} f^{4}\right)}{d}}{2 B a^{5} d^{5} g^{4} - 10 B a^{4} b d^{5} f g^{3} + 20 B a^{3} b^{2} d^{5} f^{2} g^{2} - 20 B a^{2} b^{3} d^{5} f^{3} g + 10 B a b^{4} d^{5} f^{4} + 2 B b^{5} c^{5} g^{4} - 10 B b^{5} c^{4} d f g^{3} + 20 B b^{5} c^{3} d^{2} f^{2} g^{2} - 20 B b^{5} c^{2} d^{3} f^{3} g + 10 B b^{5} c d^{4} f^{4}} \right)}}{5 d^{5}} + x^{4} \left(A f g^{3} + \frac{B a g^{4}}{10 b} - \frac{B c g^{4}}{10 d}\right) + x^{3} \left(2 A f^{2} g^{2} - \frac{2 B a^{2} g^{4}}{15 b^{2}} + \frac{2 B a f g^{3}}{3 b} + \frac{2 B c^{2} g^{4}}{15 d^{2}} - \frac{2 B c f g^{3}}{3 d}\right) + x^{2} \left(2 A f^{3} g + \frac{B a^{3} g^{4}}{5 b^{3}} - \frac{B a^{2} f g^{3}}{b^{2}} + \frac{2 B a f^{2} g^{2}}{b} - \frac{B c^{3} g^{4}}{5 d^{3}} + \frac{B c^{2} f g^{3}}{d^{2}} - \frac{2 B c f^{2} g^{2}}{d}\right) + x \left(A f^{4} - \frac{2 B a^{4} g^{4}}{5 b^{4}} + \frac{2 B a^{3} f g^{3}}{b^{3}} - \frac{4 B a^{2} f^{2} g^{2}}{b^{2}} + \frac{4 B a f^{3} g}{b} + \frac{2 B c^{4} g^{4}}{5 d^{4}} - \frac{2 B c^{3} f g^{3}}{d^{3}} + \frac{4 B c^{2} f^{2} g^{2}}{d^{2}} - \frac{4 B c f^{3} g}{d}\right) + \left(B f^{4} x + 2 B f^{3} g x^{2} + 2 B f^{2} g^{2} x^{3} + B f g^{3} x^{4} + \frac{B g^{4} x^{5}}{5}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*g**4*x**5/5 + 2*B*a*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4)*log(x + (2*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c*d**4*f*g**3 + 20*B*a**3*b**2*c*d**4*f**2*g**2 - 20*B*a**2*b**3*c*d**4*f**3*g + 2*B*a**2*d**5*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4)/b + 2*B*a*b**4*c**5*g**4 - 10*B*a*b**4*c**4*d*f*g**3 + 20*B*a*b**4*c**3*d**2*f**2*g**2 - 20*B*a*b**4*c**2*d**3*f**3*g + 20*B*a*b**4*c*d**4*f**4 - 2*B*a*c*d**4*(a**4*g**4 - 5*a**3*b*f*g**3 + 10*a**2*b**2*f**2*g**2 - 10*a*b**3*f**3*g + 5*b**4*f**4))/(2*B*a**5*d**5*g**4 - 10*B*a**4*b*d**5*f*g**3 + 20*B*a**3*b**2*d**5*f**2*g**2 - 20*B*a**2*b**3*d**5*f**3*g + 10*B*a*b**4*d**5*f**4 + 2*B*b**5*c**5*g**4 - 10*B*b**5*c**4*d*f*g**3 + 20*B*b**5*c**3*d**2*f**2*g**2 - 20*B*b**5*c**2*d**3*f**3*g + 10*B*b**5*c*d**4*f**4))/(5*b**5) - 2*B*c*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4)*log(x + (2*B*a**5*c*d**4*g**4 - 10*B*a**4*b*c*d**4*f*g**3 + 20*B*a**3*b**2*c*d**4*f**2*g**2 - 20*B*a**2*b**3*c*d**4*f**3*g + 2*B*a*b**4*c**5*g**4 - 10*B*a*b**4*c**4*d*f*g**3 + 20*B*a*b**4*c**3*d**2*f**2*g**2 - 20*B*a*b**4*c**2*d**3*f**3*g + 20*B*a*b**4*c*d**4*f**4 - 2*B*a*b**4*c*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4) + 2*B*b**5*c**2*(c**4*g**4 - 5*c**3*d*f*g**3 + 10*c**2*d**2*f**2*g**2 - 10*c*d**3*f**3*g + 5*d**4*f**4)/d)/(2*B*a**5*d**5*g**4 - 10*B*a**4*b*d**5*f*g**3 + 20*B*a**3*b**2*d**5*f**2*g**2 - 20*B*a**2*b**3*d**5*f**3*g + 10*B*a*b**4*d**5*f**4 + 2*B*b**5*c**5*g**4 - 10*B*b**5*c**4*d*f*g**3 + 20*B*b**5*c**3*d**2*f**2*g**2 - 20*B*b**5*c**2*d**3*f**3*g + 10*B*b**5*c*d**4*f**4))/(5*d**5) + x**4*(A*f*g**3 + B*a*g**4/(10*b) - B*c*g**4/(10*d)) + x**3*(2*A*f**2*g**2 - 2*B*a**2*g**4/(15*b**2) + 2*B*a*f*g**3/(3*b) + 2*B*c**2*g**4/(15*d**2) - 2*B*c*f*g**3/(3*d)) + x**2*(2*A*f**3*g + B*a**3*g**4/(5*b**3) - B*a**2*f*g**3/b**2 + 2*B*a*f**2*g**2/b - B*c**3*g**4/(5*d**3) + B*c**2*f*g**3/d**2 - 2*B*c*f**2*g**2/d) + x*(A*f**4 - 2*B*a**4*g**4/(5*b**4) + 2*B*a**3*f*g**3/b**3 - 4*B*a**2*f**2*g**2/b**2 + 4*B*a*f**3*g/b + 2*B*c**4*g**4/(5*d**4) - 2*B*c**3*f*g**3/d**3 + 4*B*c**2*f**2*g**2/d**2 - 4*B*c*f**3*g/d) + (B*f**4*x + 2*B*f**3*g*x**2 + 2*B*f**2*g**2*x**3 + B*f*g**3*x**4 + B*g**4*x**5/5)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
263,1,998,0,12.639056," ","integrate((g*x+f)**3*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A g^{3} x^{4}}{4} - \frac{B a \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{3} - 4 B a^{3} b c d^{3} f g^{2} + 6 B a^{2} b^{2} c d^{3} f^{2} g + \frac{B a^{2} d^{4} \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right)}{b} + B a b^{3} c^{4} g^{3} - 4 B a b^{3} c^{3} d f g^{2} + 6 B a b^{3} c^{2} d^{2} f^{2} g - 8 B a b^{3} c d^{3} f^{3} - B a c d^{3} \left(a g - 2 b f\right) \left(a^{2} g^{2} - 2 a b f g + 2 b^{2} f^{2}\right)}{B a^{4} d^{4} g^{3} - 4 B a^{3} b d^{4} f g^{2} + 6 B a^{2} b^{2} d^{4} f^{2} g - 4 B a b^{3} d^{4} f^{3} + B b^{4} c^{4} g^{3} - 4 B b^{4} c^{3} d f g^{2} + 6 B b^{4} c^{2} d^{2} f^{2} g - 4 B b^{4} c d^{3} f^{3}} \right)}}{2 b^{4}} + \frac{B c \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right) \log{\left(x + \frac{B a^{4} c d^{3} g^{3} - 4 B a^{3} b c d^{3} f g^{2} + 6 B a^{2} b^{2} c d^{3} f^{2} g + B a b^{3} c^{4} g^{3} - 4 B a b^{3} c^{3} d f g^{2} + 6 B a b^{3} c^{2} d^{2} f^{2} g - 8 B a b^{3} c d^{3} f^{3} - B a b^{3} c \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right) + \frac{B b^{4} c^{2} \left(c g - 2 d f\right) \left(c^{2} g^{2} - 2 c d f g + 2 d^{2} f^{2}\right)}{d}}{B a^{4} d^{4} g^{3} - 4 B a^{3} b d^{4} f g^{2} + 6 B a^{2} b^{2} d^{4} f^{2} g - 4 B a b^{3} d^{4} f^{3} + B b^{4} c^{4} g^{3} - 4 B b^{4} c^{3} d f g^{2} + 6 B b^{4} c^{2} d^{2} f^{2} g - 4 B b^{4} c d^{3} f^{3}} \right)}}{2 d^{4}} + x^{3} \left(A f g^{2} + \frac{B a g^{3}}{6 b} - \frac{B c g^{3}}{6 d}\right) + x^{2} \left(\frac{3 A f^{2} g}{2} - \frac{B a^{2} g^{3}}{4 b^{2}} + \frac{B a f g^{2}}{b} + \frac{B c^{2} g^{3}}{4 d^{2}} - \frac{B c f g^{2}}{d}\right) + x \left(A f^{3} + \frac{B a^{3} g^{3}}{2 b^{3}} - \frac{2 B a^{2} f g^{2}}{b^{2}} + \frac{3 B a f^{2} g}{b} - \frac{B c^{3} g^{3}}{2 d^{3}} + \frac{2 B c^{2} f g^{2}}{d^{2}} - \frac{3 B c f^{2} g}{d}\right) + \left(B f^{3} x + \frac{3 B f^{2} g x^{2}}{2} + B f g^{2} x^{3} + \frac{B g^{3} x^{4}}{4}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*g**3*x**4/4 - B*a*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2)*log(x + (B*a**4*c*d**3*g**3 - 4*B*a**3*b*c*d**3*f*g**2 + 6*B*a**2*b**2*c*d**3*f**2*g + B*a**2*d**4*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2)/b + B*a*b**3*c**4*g**3 - 4*B*a*b**3*c**3*d*f*g**2 + 6*B*a*b**3*c**2*d**2*f**2*g - 8*B*a*b**3*c*d**3*f**3 - B*a*c*d**3*(a*g - 2*b*f)*(a**2*g**2 - 2*a*b*f*g + 2*b**2*f**2))/(B*a**4*d**4*g**3 - 4*B*a**3*b*d**4*f*g**2 + 6*B*a**2*b**2*d**4*f**2*g - 4*B*a*b**3*d**4*f**3 + B*b**4*c**4*g**3 - 4*B*b**4*c**3*d*f*g**2 + 6*B*b**4*c**2*d**2*f**2*g - 4*B*b**4*c*d**3*f**3))/(2*b**4) + B*c*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2)*log(x + (B*a**4*c*d**3*g**3 - 4*B*a**3*b*c*d**3*f*g**2 + 6*B*a**2*b**2*c*d**3*f**2*g + B*a*b**3*c**4*g**3 - 4*B*a*b**3*c**3*d*f*g**2 + 6*B*a*b**3*c**2*d**2*f**2*g - 8*B*a*b**3*c*d**3*f**3 - B*a*b**3*c*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2) + B*b**4*c**2*(c*g - 2*d*f)*(c**2*g**2 - 2*c*d*f*g + 2*d**2*f**2)/d)/(B*a**4*d**4*g**3 - 4*B*a**3*b*d**4*f*g**2 + 6*B*a**2*b**2*d**4*f**2*g - 4*B*a*b**3*d**4*f**3 + B*b**4*c**4*g**3 - 4*B*b**4*c**3*d*f*g**2 + 6*B*b**4*c**2*d**2*f**2*g - 4*B*b**4*c*d**3*f**3))/(2*d**4) + x**3*(A*f*g**2 + B*a*g**3/(6*b) - B*c*g**3/(6*d)) + x**2*(3*A*f**2*g/2 - B*a**2*g**3/(4*b**2) + B*a*f*g**2/b + B*c**2*g**3/(4*d**2) - B*c*f*g**2/d) + x*(A*f**3 + B*a**3*g**3/(2*b**3) - 2*B*a**2*f*g**2/b**2 + 3*B*a*f**2*g/b - B*c**3*g**3/(2*d**3) + 2*B*c**2*f*g**2/d**2 - 3*B*c*f**2*g/d) + (B*f**3*x + 3*B*f**2*g*x**2/2 + B*f*g**2*x**3 + B*g**3*x**4/4)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
264,1,692,0,6.811881," ","integrate((g*x+f)**2*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A g^{2} x^{3}}{3} + \frac{2 B a \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right) \log{\left(x + \frac{2 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c d^{2} f g + \frac{2 B a^{2} d^{3} \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right)}{b} + 2 B a b^{2} c^{3} g^{2} - 6 B a b^{2} c^{2} d f g + 12 B a b^{2} c d^{2} f^{2} - 2 B a c d^{2} \left(a^{2} g^{2} - 3 a b f g + 3 b^{2} f^{2}\right)}{2 B a^{3} d^{3} g^{2} - 6 B a^{2} b d^{3} f g + 6 B a b^{2} d^{3} f^{2} + 2 B b^{3} c^{3} g^{2} - 6 B b^{3} c^{2} d f g + 6 B b^{3} c d^{2} f^{2}} \right)}}{3 b^{3}} - \frac{2 B c \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right) \log{\left(x + \frac{2 B a^{3} c d^{2} g^{2} - 6 B a^{2} b c d^{2} f g + 2 B a b^{2} c^{3} g^{2} - 6 B a b^{2} c^{2} d f g + 12 B a b^{2} c d^{2} f^{2} - 2 B a b^{2} c \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right) + \frac{2 B b^{3} c^{2} \left(c^{2} g^{2} - 3 c d f g + 3 d^{2} f^{2}\right)}{d}}{2 B a^{3} d^{3} g^{2} - 6 B a^{2} b d^{3} f g + 6 B a b^{2} d^{3} f^{2} + 2 B b^{3} c^{3} g^{2} - 6 B b^{3} c^{2} d f g + 6 B b^{3} c d^{2} f^{2}} \right)}}{3 d^{3}} + x^{2} \left(A f g + \frac{B a g^{2}}{3 b} - \frac{B c g^{2}}{3 d}\right) + x \left(A f^{2} - \frac{2 B a^{2} g^{2}}{3 b^{2}} + \frac{2 B a f g}{b} + \frac{2 B c^{2} g^{2}}{3 d^{2}} - \frac{2 B c f g}{d}\right) + \left(B f^{2} x + B f g x^{2} + \frac{B g^{2} x^{3}}{3}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*g**2*x**3/3 + 2*B*a*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2)*log(x + (2*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c*d**2*f*g + 2*B*a**2*d**3*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2)/b + 2*B*a*b**2*c**3*g**2 - 6*B*a*b**2*c**2*d*f*g + 12*B*a*b**2*c*d**2*f**2 - 2*B*a*c*d**2*(a**2*g**2 - 3*a*b*f*g + 3*b**2*f**2))/(2*B*a**3*d**3*g**2 - 6*B*a**2*b*d**3*f*g + 6*B*a*b**2*d**3*f**2 + 2*B*b**3*c**3*g**2 - 6*B*b**3*c**2*d*f*g + 6*B*b**3*c*d**2*f**2))/(3*b**3) - 2*B*c*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2)*log(x + (2*B*a**3*c*d**2*g**2 - 6*B*a**2*b*c*d**2*f*g + 2*B*a*b**2*c**3*g**2 - 6*B*a*b**2*c**2*d*f*g + 12*B*a*b**2*c*d**2*f**2 - 2*B*a*b**2*c*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2) + 2*B*b**3*c**2*(c**2*g**2 - 3*c*d*f*g + 3*d**2*f**2)/d)/(2*B*a**3*d**3*g**2 - 6*B*a**2*b*d**3*f*g + 6*B*a*b**2*d**3*f**2 + 2*B*b**3*c**3*g**2 - 6*B*b**3*c**2*d*f*g + 6*B*b**3*c*d**2*f**2))/(3*d**3) + x**2*(A*f*g + B*a*g**2/(3*b) - B*c*g**2/(3*d)) + x*(A*f**2 - 2*B*a**2*g**2/(3*b**2) + 2*B*a*f*g/b + 2*B*c**2*g**2/(3*d**2) - 2*B*c*f*g/d) + (B*f**2*x + B*f*g*x**2 + B*g**2*x**3/3)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
265,1,314,0,2.791283," ","integrate((g*x+f)*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\frac{A g x^{2}}{2} - \frac{B a \left(a g - 2 b f\right) \log{\left(x + \frac{B a^{2} c d g + \frac{B a^{2} d^{2} \left(a g - 2 b f\right)}{b} + B a b c^{2} g - 4 B a b c d f - B a c d \left(a g - 2 b f\right)}{B a^{2} d^{2} g - 2 B a b d^{2} f + B b^{2} c^{2} g - 2 B b^{2} c d f} \right)}}{b^{2}} + \frac{B c \left(c g - 2 d f\right) \log{\left(x + \frac{B a^{2} c d g + B a b c^{2} g - 4 B a b c d f - B a b c \left(c g - 2 d f\right) + \frac{B b^{2} c^{2} \left(c g - 2 d f\right)}{d}}{B a^{2} d^{2} g - 2 B a b d^{2} f + B b^{2} c^{2} g - 2 B b^{2} c d f} \right)}}{d^{2}} + x \left(A f + \frac{B a g}{b} - \frac{B c g}{d}\right) + \left(B f x + \frac{B g x^{2}}{2}\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*g*x**2/2 - B*a*(a*g - 2*b*f)*log(x + (B*a**2*c*d*g + B*a**2*d**2*(a*g - 2*b*f)/b + B*a*b*c**2*g - 4*B*a*b*c*d*f - B*a*c*d*(a*g - 2*b*f))/(B*a**2*d**2*g - 2*B*a*b*d**2*f + B*b**2*c**2*g - 2*B*b**2*c*d*f))/b**2 + B*c*(c*g - 2*d*f)*log(x + (B*a**2*c*d*g + B*a*b*c**2*g - 4*B*a*b*c*d*f - B*a*b*c*(c*g - 2*d*f) + B*b**2*c**2*(c*g - 2*d*f)/d)/(B*a**2*d**2*g - 2*B*a*b*d**2*f + B*b**2*c**2*g - 2*B*b**2*c*d*f))/d**2 + x*(A*f + B*a*g/b - B*c*g/d) + (B*f*x + B*g*x**2/2)*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
266,1,104,0,1.074146," ","integrate(A+B*ln(e*(b*x+a)**2/(d*x+c)**2),x)","A x + \frac{2 B a \log{\left(x + \frac{\frac{2 B a^{2} d}{b} + 2 B a c}{2 B a d + 2 B b c} \right)}}{b} - \frac{2 B c \log{\left(x + \frac{2 B a c + \frac{2 B b c^{2}}{d}}{2 B a d + 2 B b c} \right)}}{d} + B x \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}"," ",0,"A*x + 2*B*a*log(x + (2*B*a**2*d/b + 2*B*a*c)/(2*B*a*d + 2*B*b*c))/b - 2*B*c*log(x + (2*B*a*c + 2*B*b*c**2/d)/(2*B*a*d + 2*B*b*c))/d + B*x*log(e*(a + b*x)**2/(c + d*x)**2)","B",0
267,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(g*x+f),x)","\int \frac{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}{f + g x}\, dx"," ",0,"Integral((A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)))/(f + g*x), x)","F",0
268,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(g*x+f)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
270,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
272,-1,0,0,0.000000," ","integrate((g*x+f)**3*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
273,-1,0,0,0.000000," ","integrate((g*x+f)**2*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
274,-1,0,0,0.000000," ","integrate((g*x+f)*(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
275,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
276,0,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(g*x+f),x)","\int \frac{\left(A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\right)^{2}}{f + g x}\, dx"," ",0,"Integral((A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)))**2/(f + g*x), x)","F",0
277,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(g*x+f)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(g*x+f)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(g*x+f)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2/(g*x+f)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\int \frac{\left(f + g x\right)^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx"," ",0,"Integral((f + g*x)**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)","F",0
282,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\int \frac{f + g x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx"," ",0,"Integral((f + g*x)/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x)","F",0
283,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\int \frac{1}{A + B \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}}\, dx"," ",0,"Integral(1/(A + B*log(e*(a + b*x)**2/(c + d*x)**2)), x)","F",0
284,0,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\int \frac{1}{\left(A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\right) \left(f + g x\right)}\, dx"," ",0,"Integral(1/((A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)))*(f + g*x)), x)","F",0
285,0,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\int \frac{1}{\left(A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}\right) \left(f + g x\right)^{2}}\, dx"," ",0,"Integral(1/((A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2)))*(f + g*x)**2), x)","F",0
286,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,0,0,0,0.000000," ","integrate((g*x+f)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{a c f^{2} + 2 a c f g x + a c g^{2} x^{2} + a d f^{2} x + 2 a d f g x^{2} + a d g^{2} x^{3} + b c f^{2} x + 2 b c f g x^{2} + b c g^{2} x^{3} + b d f^{2} x^{2} + 2 b d f g x^{3} + b d g^{2} x^{4}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{\int \frac{a d f^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{b c f^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 a c f g}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 a c g^{2} x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 a d g^{2} x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 b c g^{2} x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 b d f^{2} x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{4 b d g^{2} x^{3}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{4 a d f g x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{4 b c f g x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{6 b d f g x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{2 B \left(a d - b c\right)}"," ",0,"(a*c*f**2 + 2*a*c*f*g*x + a*c*g**2*x**2 + a*d*f**2*x + 2*a*d*f*g*x**2 + a*d*g**2*x**3 + b*c*f**2*x + 2*b*c*f*g*x**2 + b*c*g**2*x**3 + b*d*f**2*x**2 + 2*b*d*f*g*x**3 + b*d*g**2*x**4)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)**2/(c + d*x)**2)) - (Integral(a*d*f**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(b*c*f**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*a*c*f*g/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*a*c*g**2*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*a*d*g**2*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*b*c*g**2*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*b*d*f**2*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(4*b*d*g**2*x**3/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(4*a*d*f*g*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(4*b*c*f*g*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(6*b*d*f*g*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
288,0,0,0,0.000000," ","integrate((g*x+f)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{a c f + a c g x + a d f x + a d g x^{2} + b c f x + b c g x^{2} + b d f x^{2} + b d g x^{3}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{\int \frac{a c g}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{a d f}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{b c f}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 a d g x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 b c g x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 b d f x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{3 b d g x^{2}}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{2 B \left(a d - b c\right)}"," ",0,"(a*c*f + a*c*g*x + a*d*f*x + a*d*g*x**2 + b*c*f*x + b*c*g*x**2 + b*d*f*x**2 + b*d*g*x**3)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)**2/(c + d*x)**2)) - (Integral(a*c*g/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(a*d*f/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(b*c*f/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*a*d*g*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*b*c*g*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*b*d*f*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(3*b*d*g*x**2/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
289,0,0,0,0.000000," ","integrate(1/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\frac{a c + a d x + b c x + b d x^{2}}{2 A B a d - 2 A B b c + \left(2 B^{2} a d - 2 B^{2} b c\right) \log{\left(\frac{e \left(a + b x\right)^{2}}{\left(c + d x\right)^{2}} \right)}} - \frac{\int \frac{a d}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{b c}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx + \int \frac{2 b d x}{A + B \log{\left(\frac{a^{2} e}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{2 a b e x}{c^{2} + 2 c d x + d^{2} x^{2}} + \frac{b^{2} e x^{2}}{c^{2} + 2 c d x + d^{2} x^{2}} \right)}}\, dx}{2 B \left(a d - b c\right)}"," ",0,"(a*c + a*d*x + b*c*x + b*d*x**2)/(2*A*B*a*d - 2*A*B*b*c + (2*B**2*a*d - 2*B**2*b*c)*log(e*(a + b*x)**2/(c + d*x)**2)) - (Integral(a*d/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(b*c/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x) + Integral(2*b*d*x/(A + B*log(a**2*e/(c**2 + 2*c*d*x + d**2*x**2) + 2*a*b*e*x/(c**2 + 2*c*d*x + d**2*x**2) + b**2*e*x**2/(c**2 + 2*c*d*x + d**2*x**2))), x))/(2*B*(a*d - b*c))","F",0
290,-1,0,0,0.000000," ","integrate(1/(g*x+f)/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate(1/(g*x+f)**2/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,-1,0,0,0.000000," ","integrate(1/(g*x+f)**3/(A+B*ln(e*(b*x+a)**2/(d*x+c)**2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
293,-2,0,0,0.000000," ","integrate((h*x+g)**4*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
294,-2,0,0,0.000000," ","integrate((h*x+g)**3*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
295,-2,0,0,0.000000," ","integrate((h*x+g)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
296,-2,0,0,0.000000," ","integrate((h*x+g)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n))),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
297,-2,0,0,0.000000," ","integrate(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
298,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
299,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
300,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
301,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(h*x+g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))/(h*x+g)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,-2,0,0,0.000000," ","integrate((h*x+g)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
304,-2,0,0,0.000000," ","integrate((h*x+g)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
305,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
306,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
307,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
308,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**2/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
309,-2,0,0,0.000000," ","integrate((h*x+g)**2*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
310,-2,0,0,0.000000," ","integrate((h*x+g)*(A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
311,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
312,-2,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(h*x+g),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
313,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
314,-1,0,0,0.000000," ","integrate((A+B*ln(e*(b*x+a)**n/((d*x+c)**n)))**3/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
