1,-1,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)*(a*x**m+b*ln(c*x**n)**q)**p/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)*(a*x**m+b*ln(c*x**n)**q)**3/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,0,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)*(a*x**m+b*ln(c*x**n)**q)**2/x,x)","\int \frac{\left(a x^{m} + b \log{\left(c x^{n} \right)}^{q}\right)^{2} \log{\left(c x^{n} \right)}^{q - 1}}{x}\, dx"," ",0,"Integral((a*x**m + b*log(c*x**n)**q)**2*log(c*x**n)**(q - 1)/x, x)","F",0
4,0,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)*(a*x**m+b*ln(c*x**n)**q)/x,x)","\int \frac{\left(a x^{m} + b \log{\left(c x^{n} \right)}^{q}\right) \log{\left(c x^{n} \right)}^{q - 1}}{x}\, dx"," ",0,"Integral((a*x**m + b*log(c*x**n)**q)*log(c*x**n)**(q - 1)/x, x)","F",0
5,0,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)/x,x)","\int \frac{\log{\left(c x^{n} \right)}^{q - 1}}{x}\, dx"," ",0,"Integral(log(c*x**n)**(q - 1)/x, x)","F",0
6,0,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)/x/(a*x**m+b*ln(c*x**n)**q),x)","\int \frac{\log{\left(c x^{n} \right)}^{q - 1}}{x \left(a x^{m} + b \log{\left(c x^{n} \right)}^{q}\right)}\, dx"," ",0,"Integral(log(c*x**n)**(q - 1)/(x*(a*x**m + b*log(c*x**n)**q)), x)","F",0
7,-1,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)/x/(a*x**m+b*ln(c*x**n)**q)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate(ln(c*x**n)**(-1+q)/x/(a*x**m+b*ln(c*x**n)**q)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,1,762,0,103.521620," ","integrate(ln(c*x**n)*(a*x**m+b*ln(c*x**n)**2)**3/x,x)","- a^{3} n \left(\begin{cases} \frac{\begin{cases} \frac{x^{3 m}}{3 m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}}{3 m} & \text{for}\: m > -\infty \wedge m < \infty \wedge m \neq 0 \\\frac{\log{\left(x \right)}^{2}}{2} & \text{otherwise} \end{cases}\right) + a^{3} \left(\begin{cases} \frac{x^{3 m}}{3 m} & \text{for}\: 3 m - 1 \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right) \log{\left(c x^{n} \right)} + 3 a^{2} b \left(\begin{cases} \frac{n^{3} x^{2 m} \log{\left(x \right)}^{3}}{2 m} + \frac{3 n^{2} x^{2 m} \log{\left(c \right)} \log{\left(x \right)}^{2}}{2 m} + \frac{3 n x^{2 m} \log{\left(c \right)}^{2} \log{\left(x \right)}}{2 m} + \frac{x^{2 m} \log{\left(c \right)}^{3}}{2 m} - \frac{3 n^{3} x^{2 m} \log{\left(x \right)}^{2}}{4 m^{2}} - \frac{3 n^{2} x^{2 m} \log{\left(c \right)} \log{\left(x \right)}}{2 m^{2}} - \frac{3 n x^{2 m} \log{\left(c \right)}^{2}}{4 m^{2}} + \frac{3 n^{3} x^{2 m} \log{\left(x \right)}}{4 m^{3}} + \frac{3 n^{2} x^{2 m} \log{\left(c \right)}}{4 m^{3}} - \frac{3 n^{3} x^{2 m}}{8 m^{4}} & \text{for}\: m \neq 0 \\\begin{cases} \frac{\log{\left(c x^{n} \right)}^{4}}{4 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{4}}{4 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{6 {G_{5, 5}^{5, 0}\left(\begin{matrix}  & 1, 1, 1, 1, 1 \\0, 0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{6 {G_{5, 5}^{0, 5}\left(\begin{matrix} 1, 1, 1, 1, 1 &  \\ & 0, 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}\right) + 3 a b^{2} \left(\begin{cases} \frac{n^{5} x^{m} \log{\left(x \right)}^{5}}{m} + \frac{5 n^{4} x^{m} \log{\left(c \right)} \log{\left(x \right)}^{4}}{m} + \frac{10 n^{3} x^{m} \log{\left(c \right)}^{2} \log{\left(x \right)}^{3}}{m} + \frac{10 n^{2} x^{m} \log{\left(c \right)}^{3} \log{\left(x \right)}^{2}}{m} + \frac{5 n x^{m} \log{\left(c \right)}^{4} \log{\left(x \right)}}{m} + \frac{x^{m} \log{\left(c \right)}^{5}}{m} - \frac{5 n^{5} x^{m} \log{\left(x \right)}^{4}}{m^{2}} - \frac{20 n^{4} x^{m} \log{\left(c \right)} \log{\left(x \right)}^{3}}{m^{2}} - \frac{30 n^{3} x^{m} \log{\left(c \right)}^{2} \log{\left(x \right)}^{2}}{m^{2}} - \frac{20 n^{2} x^{m} \log{\left(c \right)}^{3} \log{\left(x \right)}}{m^{2}} - \frac{5 n x^{m} \log{\left(c \right)}^{4}}{m^{2}} + \frac{20 n^{5} x^{m} \log{\left(x \right)}^{3}}{m^{3}} + \frac{60 n^{4} x^{m} \log{\left(c \right)} \log{\left(x \right)}^{2}}{m^{3}} + \frac{60 n^{3} x^{m} \log{\left(c \right)}^{2} \log{\left(x \right)}}{m^{3}} + \frac{20 n^{2} x^{m} \log{\left(c \right)}^{3}}{m^{3}} - \frac{60 n^{5} x^{m} \log{\left(x \right)}^{2}}{m^{4}} - \frac{120 n^{4} x^{m} \log{\left(c \right)} \log{\left(x \right)}}{m^{4}} - \frac{60 n^{3} x^{m} \log{\left(c \right)}^{2}}{m^{4}} + \frac{120 n^{5} x^{m} \log{\left(x \right)}}{m^{5}} + \frac{120 n^{4} x^{m} \log{\left(c \right)}}{m^{5}} - \frac{120 n^{5} x^{m}}{m^{6}} & \text{for}\: m \neq 0 \\\begin{cases} \frac{\log{\left(c x^{n} \right)}^{6}}{6 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{6}}{6 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{120 {G_{7, 7}^{7, 0}\left(\begin{matrix}  & 1, 1, 1, 1, 1, 1, 1 \\0, 0, 0, 0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{120 {G_{7, 7}^{0, 7}\left(\begin{matrix} 1, 1, 1, 1, 1, 1, 1 &  \\ & 0, 0, 0, 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}\right) - b^{3} \left(\begin{cases} - \log{\left(c \right)}^{7} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(c x^{n} \right)}^{8}}{8 n} & \text{otherwise} \end{cases}\right)"," ",0,"-a**3*n*Piecewise((Piecewise((x**(3*m)/(3*m), Ne(m, 0)), (log(x), True))/(3*m), (m > -oo) & (m < oo) & Ne(m, 0)), (log(x)**2/2, True)) + a**3*Piecewise((x**(3*m)/(3*m), Ne(3*m - 1, -1)), (log(x), True))*log(c*x**n) + 3*a**2*b*Piecewise((n**3*x**(2*m)*log(x)**3/(2*m) + 3*n**2*x**(2*m)*log(c)*log(x)**2/(2*m) + 3*n*x**(2*m)*log(c)**2*log(x)/(2*m) + x**(2*m)*log(c)**3/(2*m) - 3*n**3*x**(2*m)*log(x)**2/(4*m**2) - 3*n**2*x**(2*m)*log(c)*log(x)/(2*m**2) - 3*n*x**(2*m)*log(c)**2/(4*m**2) + 3*n**3*x**(2*m)*log(x)/(4*m**3) + 3*n**2*x**(2*m)*log(c)/(4*m**3) - 3*n**3*x**(2*m)/(8*m**4), Ne(m, 0)), (Piecewise((log(c*x**n)**4/(4*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**4/(4*n), 1/Abs(c*x**n) < 1), (6*meijerg(((), (1, 1, 1, 1, 1)), ((0, 0, 0, 0, 0), ()), c*x**n)/n + 6*meijerg(((1, 1, 1, 1, 1), ()), ((), (0, 0, 0, 0, 0)), c*x**n)/n, True)), True)) + 3*a*b**2*Piecewise((n**5*x**m*log(x)**5/m + 5*n**4*x**m*log(c)*log(x)**4/m + 10*n**3*x**m*log(c)**2*log(x)**3/m + 10*n**2*x**m*log(c)**3*log(x)**2/m + 5*n*x**m*log(c)**4*log(x)/m + x**m*log(c)**5/m - 5*n**5*x**m*log(x)**4/m**2 - 20*n**4*x**m*log(c)*log(x)**3/m**2 - 30*n**3*x**m*log(c)**2*log(x)**2/m**2 - 20*n**2*x**m*log(c)**3*log(x)/m**2 - 5*n*x**m*log(c)**4/m**2 + 20*n**5*x**m*log(x)**3/m**3 + 60*n**4*x**m*log(c)*log(x)**2/m**3 + 60*n**3*x**m*log(c)**2*log(x)/m**3 + 20*n**2*x**m*log(c)**3/m**3 - 60*n**5*x**m*log(x)**2/m**4 - 120*n**4*x**m*log(c)*log(x)/m**4 - 60*n**3*x**m*log(c)**2/m**4 + 120*n**5*x**m*log(x)/m**5 + 120*n**4*x**m*log(c)/m**5 - 120*n**5*x**m/m**6, Ne(m, 0)), (Piecewise((log(c*x**n)**6/(6*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**6/(6*n), 1/Abs(c*x**n) < 1), (120*meijerg(((), (1, 1, 1, 1, 1, 1, 1)), ((0, 0, 0, 0, 0, 0, 0), ()), c*x**n)/n + 120*meijerg(((1, 1, 1, 1, 1, 1, 1), ()), ((), (0, 0, 0, 0, 0, 0, 0)), c*x**n)/n, True)), True)) - b**3*Piecewise((-log(c)**7*log(x), Eq(n, 0)), (-log(c*x**n)**8/(8*n), True))","A",0
10,1,298,0,37.588628," ","integrate(ln(c*x**n)*(a*x**m+b*ln(c*x**n)**2)**2/x,x)","- a^{2} n \left(\begin{cases} \frac{\begin{cases} \frac{x^{2 m}}{2 m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}}{2 m} & \text{for}\: m > -\infty \wedge m < \infty \wedge m \neq 0 \\\frac{\log{\left(x \right)}^{2}}{2} & \text{otherwise} \end{cases}\right) + a^{2} \left(\begin{cases} \frac{x^{2 m}}{2 m} & \text{for}\: 2 m - 1 \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right) \log{\left(c x^{n} \right)} + 2 a b \left(\begin{cases} \frac{n^{3} x^{m} \log{\left(x \right)}^{3}}{m} + \frac{3 n^{2} x^{m} \log{\left(c \right)} \log{\left(x \right)}^{2}}{m} + \frac{3 n x^{m} \log{\left(c \right)}^{2} \log{\left(x \right)}}{m} + \frac{x^{m} \log{\left(c \right)}^{3}}{m} - \frac{3 n^{3} x^{m} \log{\left(x \right)}^{2}}{m^{2}} - \frac{6 n^{2} x^{m} \log{\left(c \right)} \log{\left(x \right)}}{m^{2}} - \frac{3 n x^{m} \log{\left(c \right)}^{2}}{m^{2}} + \frac{6 n^{3} x^{m} \log{\left(x \right)}}{m^{3}} + \frac{6 n^{2} x^{m} \log{\left(c \right)}}{m^{3}} - \frac{6 n^{3} x^{m}}{m^{4}} & \text{for}\: m \neq 0 \\\begin{cases} \frac{\log{\left(c x^{n} \right)}^{4}}{4 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{4}}{4 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{6 {G_{5, 5}^{5, 0}\left(\begin{matrix}  & 1, 1, 1, 1, 1 \\0, 0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{6 {G_{5, 5}^{0, 5}\left(\begin{matrix} 1, 1, 1, 1, 1 &  \\ & 0, 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases} & \text{otherwise} \end{cases}\right) - b^{2} \left(\begin{cases} - \log{\left(c \right)}^{5} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(c x^{n} \right)}^{6}}{6 n} & \text{otherwise} \end{cases}\right)"," ",0,"-a**2*n*Piecewise((Piecewise((x**(2*m)/(2*m), Ne(m, 0)), (log(x), True))/(2*m), (m > -oo) & (m < oo) & Ne(m, 0)), (log(x)**2/2, True)) + a**2*Piecewise((x**(2*m)/(2*m), Ne(2*m - 1, -1)), (log(x), True))*log(c*x**n) + 2*a*b*Piecewise((n**3*x**m*log(x)**3/m + 3*n**2*x**m*log(c)*log(x)**2/m + 3*n*x**m*log(c)**2*log(x)/m + x**m*log(c)**3/m - 3*n**3*x**m*log(x)**2/m**2 - 6*n**2*x**m*log(c)*log(x)/m**2 - 3*n*x**m*log(c)**2/m**2 + 6*n**3*x**m*log(x)/m**3 + 6*n**2*x**m*log(c)/m**3 - 6*n**3*x**m/m**4, Ne(m, 0)), (Piecewise((log(c*x**n)**4/(4*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**4/(4*n), 1/Abs(c*x**n) < 1), (6*meijerg(((), (1, 1, 1, 1, 1)), ((0, 0, 0, 0, 0), ()), c*x**n)/n + 6*meijerg(((1, 1, 1, 1, 1), ()), ((), (0, 0, 0, 0, 0)), c*x**n)/n, True)), True)) - b**2*Piecewise((-log(c)**5*log(x), Eq(n, 0)), (-log(c*x**n)**6/(6*n), True))","A",0
11,1,68,0,12.423078," ","integrate(ln(c*x**n)*(a*x**m+b*ln(c*x**n)**2)/x,x)","- a n \left(\begin{cases} \frac{\begin{cases} \frac{x^{m}}{m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}}{m} & \text{for}\: m > -\infty \wedge m < \infty \wedge m \neq 0 \\\frac{\log{\left(x \right)}^{2}}{2} & \text{otherwise} \end{cases}\right) + a \left(\begin{cases} \frac{x^{m}}{m} & \text{for}\: m - 1 \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right) \log{\left(c x^{n} \right)} - b \left(\begin{cases} - \log{\left(c \right)}^{3} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(c x^{n} \right)}^{4}}{4 n} & \text{otherwise} \end{cases}\right)"," ",0,"-a*n*Piecewise((Piecewise((x**m/m, Ne(m, 0)), (log(x), True))/m, (m > -oo) & (m < oo) & Ne(m, 0)), (log(x)**2/2, True)) + a*Piecewise((x**m/m, Ne(m - 1, -1)), (log(x), True))*log(c*x**n) - b*Piecewise((-log(c)**3*log(x), Eq(n, 0)), (-log(c*x**n)**4/(4*n), True))","A",0
12,1,51,0,1.703274," ","integrate(ln(c*x**n)/x,x)","\begin{cases} \frac{\log{\left(c x^{n} \right)}^{2}}{2 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{2}}{2 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{{G_{3, 3}^{3, 0}\left(\begin{matrix}  & 1, 1, 1 \\0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{{G_{3, 3}^{0, 3}\left(\begin{matrix} 1, 1, 1 &  \\ & 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(c*x**n)**2/(2*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**2/(2*n), 1/Abs(c*x**n) < 1), (meijerg(((), (1, 1, 1)), ((0, 0, 0), ()), c*x**n)/n + meijerg(((1, 1, 1), ()), ((), (0, 0, 0)), c*x**n)/n, True))","A",0
13,0,0,0,0.000000," ","integrate(ln(c*x**n)/x/(a*x**m+b*ln(c*x**n)**2),x)","\int \frac{\log{\left(c x^{n} \right)}}{x \left(a x^{m} + b \log{\left(c x^{n} \right)}^{2}\right)}\, dx"," ",0,"Integral(log(c*x**n)/(x*(a*x**m + b*log(c*x**n)**2)), x)","F",0
14,0,0,0,0.000000," ","integrate(ln(c*x**n)/x/(a*x**m+b*ln(c*x**n)**2)**2,x)","\int \frac{\log{\left(c x^{n} \right)}}{x \left(a x^{m} + b \log{\left(c x^{n} \right)}^{2}\right)^{2}}\, dx"," ",0,"Integral(log(c*x**n)/(x*(a*x**m + b*log(c*x**n)**2)**2), x)","F",0
15,-1,0,0,0.000000," ","integrate(ln(c*x**n)/x/(a*x**m+b*ln(c*x**n)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)**p/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)**2/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,58,0,30.633817," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))/x,x)","a m \left(\begin{cases} \frac{x^{m}}{m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right) + b n q \left(\begin{cases} \frac{\log{\left(x \right)}}{\log{\left(c \right)}} & \text{for}\: n = 0 \wedge q = 0 \\\frac{\log{\left(c \right)}^{q} \log{\left(x \right)}}{\log{\left(c \right)}} & \text{for}\: n = 0 \\\frac{\log{\left(n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{n} & \text{for}\: q = 0 \\\frac{\left(n \log{\left(x \right)} + \log{\left(c \right)}\right)^{q}}{n q} & \text{otherwise} \end{cases}\right)"," ",0,"a*m*Piecewise((x**m/m, Ne(m, 0)), (log(x), True)) + b*n*q*Piecewise((log(x)/log(c), Eq(n, 0) & Eq(q, 0)), (log(c)**q*log(x)/log(c), Eq(n, 0)), (log(n*log(x) + log(c))/n, Eq(q, 0)), ((n*log(x) + log(c))**q/(n*q), True))","A",0
20,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,-1,0,0,0.000000," ","integrate((a*m*x**m+b*n*q*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
23,1,221,0,12.319613," ","integrate((a/x**2+2*b*n*ln(c*x**n)/x**3)*(a*x**2+b*x*ln(c*x**n)**2)**2,x)","\frac{a^{3} x^{3}}{3} + a^{2} b n^{2} x^{2} \log{\left(x \right)}^{2} - a^{2} b n^{2} x^{2} \log{\left(x \right)} + 2 a^{2} b n x^{2} \log{\left(c \right)} \log{\left(x \right)} - a^{2} b n x^{2} \log{\left(c \right)} + a^{2} b n x^{2} \log{\left(c x^{n} \right)} + a^{2} b x^{2} \log{\left(c \right)}^{2} + a b^{2} n^{4} x \log{\left(x \right)}^{4} + 4 a b^{2} n^{3} x \log{\left(c \right)} \log{\left(x \right)}^{3} + 6 a b^{2} n^{2} x \log{\left(c \right)}^{2} \log{\left(x \right)}^{2} + 4 a b^{2} n x \log{\left(c \right)}^{3} \log{\left(x \right)} + a b^{2} x \log{\left(c \right)}^{4} - 2 b^{3} n \left(\begin{cases} - \log{\left(c \right)}^{5} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(c x^{n} \right)}^{6}}{6 n} & \text{otherwise} \end{cases}\right)"," ",0,"a**3*x**3/3 + a**2*b*n**2*x**2*log(x)**2 - a**2*b*n**2*x**2*log(x) + 2*a**2*b*n*x**2*log(c)*log(x) - a**2*b*n*x**2*log(c) + a**2*b*n*x**2*log(c*x**n) + a**2*b*x**2*log(c)**2 + a*b**2*n**4*x*log(x)**4 + 4*a*b**2*n**3*x*log(c)*log(x)**3 + 6*a*b**2*n**2*x*log(c)**2*log(x)**2 + 4*a*b**2*n*x*log(c)**3*log(x) + a*b**2*x*log(c)**4 - 2*b**3*n*Piecewise((-log(c)**5*log(x), Eq(n, 0)), (-log(c*x**n)**6/(6*n), True))","A",0
24,1,117,0,8.068990," ","integrate((a/x+2*b*n*ln(c*x**n)/x**2)*(a*x**2+b*x*ln(c*x**n)**2),x)","\frac{a^{2} x^{2}}{2} + a b n^{2} x \log{\left(x \right)}^{2} - 2 a b n^{2} x \log{\left(x \right)} + 2 a b n x \log{\left(c \right)} \log{\left(x \right)} - 2 a b n x \log{\left(c \right)} + 2 a b n x \log{\left(c x^{n} \right)} + a b x \log{\left(c \right)}^{2} - 2 b^{2} n \left(\begin{cases} - \log{\left(c \right)}^{3} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(c x^{n} \right)}^{4}}{4 n} & \text{otherwise} \end{cases}\right)"," ",0,"a**2*x**2/2 + a*b*n**2*x*log(x)**2 - 2*a*b*n**2*x*log(x) + 2*a*b*n*x*log(c)*log(x) - 2*a*b*n*x*log(c) + 2*a*b*n*x*log(c*x**n) + a*b*x*log(c)**2 - 2*b**2*n*Piecewise((-log(c)**3*log(x), Eq(n, 0)), (-log(c*x**n)**4/(4*n), True))","A",0
25,1,60,0,1.716756," ","integrate(a+2*b*n*ln(c*x**n)/x,x)","a x + 2 b n \left(\begin{cases} \frac{\log{\left(c x^{n} \right)}^{2}}{2 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{2}}{2 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{{G_{3, 3}^{3, 0}\left(\begin{matrix}  & 1, 1, 1 \\0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{{G_{3, 3}^{0, 3}\left(\begin{matrix} 1, 1, 1 &  \\ & 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + 2*b*n*Piecewise((log(c*x**n)**2/(2*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**2/(2*n), 1/Abs(c*x**n) < 1), (meijerg(((), (1, 1, 1)), ((0, 0, 0), ()), c*x**n)/n + meijerg(((1, 1, 1), ()), ((), (0, 0, 0)), c*x**n)/n, True))","A",0
26,1,48,0,2.334594," ","integrate((a*x+2*b*n*ln(c*x**n))/(a*x**2+b*x*ln(c*x**n)**2),x)","\begin{cases} \log{\left(x + \frac{b n^{2} \log{\left(x \right)}^{2}}{a} + \frac{2 b n \log{\left(c \right)} \log{\left(x \right)}}{a} + \frac{b \log{\left(c \right)}^{2}}{a} \right)} & \text{for}\: a \neq 0 \\2 \log{\left(n \log{\left(x \right)} + \log{\left(c \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x + b*n**2*log(x)**2/a + 2*b*n*log(c)*log(x)/a + b*log(c)**2/a), Ne(a, 0)), (2*log(n*log(x) + log(c)), True))","A",0
27,-1,0,0,0.000000," ","integrate((a*x**2+2*b*n*x*ln(c*x**n))/(a*x**2+b*x*ln(c*x**n)**2)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
28,-1,0,0,0.000000," ","integrate((a*x**3+2*b*n*x**2*ln(c*x**n))/(a*x**2+b*x*ln(c*x**n)**2)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
29,-1,0,0,0.000000," ","integrate((a*(-1+m)*x**(-1+m)+b*n*q*ln(c*x**n)**(-1+q))/(a*x**m+b*x*ln(c*x**n)**q),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)**p/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)**3/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,-1,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)**2/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
33,0,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))*(a*x**m+b*ln(c*x**n)**q)/x,x)","\int \frac{\left(a x^{m} + b \log{\left(c x^{n} \right)}^{q}\right) \left(d x^{m} + \frac{e \log{\left(c x^{n} \right)}^{q}}{\log{\left(c x^{n} \right)}}\right)}{x}\, dx"," ",0,"Integral((a*x**m + b*log(c*x**n)**q)*(d*x**m + e*log(c*x**n)**q/log(c*x**n))/x, x)","F",0
34,1,53,0,30.674173," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))/x,x)","d \left(\begin{cases} \frac{x^{m}}{m} & \text{for}\: m \neq 0 \\\log{\left(x \right)} & \text{otherwise} \end{cases}\right) + e \left(\begin{cases} \frac{\log{\left(x \right)}}{\log{\left(c \right)}} & \text{for}\: n = 0 \wedge q = 0 \\\frac{\log{\left(c \right)}^{q} \log{\left(x \right)}}{\log{\left(c \right)}} & \text{for}\: n = 0 \\\frac{\log{\left(n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{n} & \text{for}\: q = 0 \\\frac{\left(n \log{\left(x \right)} + \log{\left(c \right)}\right)^{q}}{n q} & \text{otherwise} \end{cases}\right)"," ",0,"d*Piecewise((x**m/m, Ne(m, 0)), (log(x), True)) + e*Piecewise((log(x)/log(c), Eq(n, 0) & Eq(q, 0)), (log(c)**q*log(x)/log(c), Eq(n, 0)), (log(n*log(x) + log(c))/n, Eq(q, 0)), ((n*log(x) + log(c))**q/(n*q), True))","A",0
35,0,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q),x)","\int \frac{d x^{m} + \frac{e \log{\left(c x^{n} \right)}^{q}}{\log{\left(c x^{n} \right)}}}{x \left(a x^{m} + b \log{\left(c x^{n} \right)}^{q}\right)}\, dx"," ",0,"Integral((d*x**m + e*log(c*x**n)**q/log(c*x**n))/(x*(a*x**m + b*log(c*x**n)**q)), x)","F",0
36,-1,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((d*x**m+e*ln(c*x**n)**(-1+q))/x/(a*x**m+b*ln(c*x**n)**q)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((a*d*n*x**m-a*d*m*x**m*ln(c*x**n)-b*d*n*(-1+q)*ln(c*x**n)**q)/x/(a*x**m+b*ln(c*x**n)**q)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,0,0,0,0.000000," ","integrate((n*q-ln(c*x**n))/(a*x+b*ln(c*x**n)**q)**2,x)","\int \frac{n q - \log{\left(c x^{n} \right)}}{\left(a x + b \log{\left(c x^{n} \right)}^{q}\right)^{2}}\, dx"," ",0,"Integral((n*q - log(c*x**n))/(a*x + b*log(c*x**n)**q)**2, x)","F",0
40,-2,0,0,0.000000," ","integrate(ln(2*x*(e*x+d*(-e/d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
41,-2,0,0,0.000000," ","integrate(ln(-2*x*(-e*x+d*(-e/d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
42,-2,0,0,0.000000," ","integrate(ln(2*x*(e*x+d*e**(1/2)/(-d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
43,-2,0,0,0.000000," ","integrate(ln(-2*x*(-e*x+d*e**(1/2)/(-d)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
44,-2,0,0,0.000000," ","integrate(ln(2*x*(e*x+d**(1/2)*(-e)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
45,-2,0,0,0.000000," ","integrate(ln(-2*x*(-e*x+d**(1/2)*(-e)**(1/2))/(e*x**2+d))/(e*x**2+d),x)","\text{Exception raised: AttributeError}"," ",0,"Exception raised: AttributeError","F(-2)",0
46,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*ln(c*ln(d*x)**p)),x)","\int \left(e x\right)^{m} \left(a + b \log{\left(c \log{\left(d x \right)}^{p} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*(a + b*log(c*log(d*x)**p)), x)","F",0
47,0,0,0,0.000000," ","integrate((e*x)**m*(a+b*ln(c*ln(d*x**n)**p)),x)","\int \left(e x\right)^{m} \left(a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}\right)\, dx"," ",0,"Integral((e*x)**m*(a + b*log(c*log(d*x**n)**p)), x)","F",0
48,0,0,0,0.000000," ","integrate(x**2*(a+b*ln(c*ln(d*x**n)**p)),x)","\int x^{2} \left(a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}\right)\, dx"," ",0,"Integral(x**2*(a + b*log(c*log(d*x**n)**p)), x)","F",0
49,0,0,0,0.000000," ","integrate(x*(a+b*ln(c*ln(d*x**n)**p)),x)","\int x \left(a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}\right)\, dx"," ",0,"Integral(x*(a + b*log(c*log(d*x**n)**p)), x)","F",0
50,0,0,0,0.000000," ","integrate(a+b*ln(c*ln(d*x**n)**p),x)","\int \left(a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}\right)\, dx"," ",0,"Integral(a + b*log(c*log(d*x**n)**p), x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*ln(c*ln(d*x**n)**p))/x,x)","\int \frac{a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}}{x}\, dx"," ",0,"Integral((a + b*log(c*log(d*x**n)**p))/x, x)","F",0
52,0,0,0,0.000000," ","integrate((a+b*ln(c*ln(d*x**n)**p))/x**2,x)","\int \frac{a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*log(c*log(d*x**n)**p))/x**2, x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*ln(c*ln(d*x**n)**p))/x**3,x)","\int \frac{a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}}{x^{3}}\, dx"," ",0,"Integral((a + b*log(c*log(d*x**n)**p))/x**3, x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*ln(c*ln(d*x**n)**p))/x**4,x)","\int \frac{a + b \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}}{x^{4}}\, dx"," ",0,"Integral((a + b*log(c*log(d*x**n)**p))/x**4, x)","F",0
55,1,19,0,1.190039," ","integrate(ln(c*ln(d*x)**p),x)","x \log{\left(c \log{\left(d x \right)}^{p} \right)} - \frac{p \operatorname{li}{\left(d x \right)}}{d}"," ",0,"x*log(c*log(d*x)**p) - p*li(d*x)/d","A",0
56,0,0,0,0.000000," ","integrate(ln(c*ln(d*x)**p)/x,x)","\int \frac{\log{\left(c \log{\left(d x \right)}^{p} \right)}}{x}\, dx"," ",0,"Integral(log(c*log(d*x)**p)/x, x)","F",0
57,0,0,0,0.000000," ","integrate(ln(c*ln(d*x**n)**p),x)","\int \log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}\, dx"," ",0,"Integral(log(c*log(d*x**n)**p), x)","F",0
58,0,0,0,0.000000," ","integrate(ln(c*ln(d*x**n)**p)/x,x)","\int \frac{\log{\left(c \log{\left(d x^{n} \right)}^{p} \right)}}{x}\, dx"," ",0,"Integral(log(c*log(d*x**n)**p)/x, x)","F",0
59,0,0,0,0.000000," ","integrate(x**m*ln(d*(c*x**2+b*x)**n),x)","\int x^{m} \log{\left(d \left(b x + c x^{2}\right)^{n} \right)}\, dx"," ",0,"Integral(x**m*log(d*(b*x + c*x**2)**n), x)","F",0
60,1,134,0,17.668114," ","integrate(x**4*ln(d*(c*x**2+b*x)**n),x)","\begin{cases} \frac{b^{5} n \log{\left(b + c x \right)}}{5 c^{5}} - \frac{b^{4} n x}{5 c^{4}} + \frac{b^{3} n x^{2}}{10 c^{3}} - \frac{b^{2} n x^{3}}{15 c^{2}} + \frac{b n x^{4}}{20 c} + \frac{n x^{5} \log{\left(b x + c x^{2} \right)}}{5} - \frac{2 n x^{5}}{25} + \frac{x^{5} \log{\left(d \right)}}{5} & \text{for}\: c \neq 0 \\\frac{n x^{5} \log{\left(b \right)}}{5} + \frac{n x^{5} \log{\left(x \right)}}{5} - \frac{n x^{5}}{25} + \frac{x^{5} \log{\left(d \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**5*n*log(b + c*x)/(5*c**5) - b**4*n*x/(5*c**4) + b**3*n*x**2/(10*c**3) - b**2*n*x**3/(15*c**2) + b*n*x**4/(20*c) + n*x**5*log(b*x + c*x**2)/5 - 2*n*x**5/25 + x**5*log(d)/5, Ne(c, 0)), (n*x**5*log(b)/5 + n*x**5*log(x)/5 - n*x**5/25 + x**5*log(d)/5, True))","A",0
61,1,119,0,10.088082," ","integrate(x**3*ln(d*(c*x**2+b*x)**n),x)","\begin{cases} - \frac{b^{4} n \log{\left(b + c x \right)}}{4 c^{4}} + \frac{b^{3} n x}{4 c^{3}} - \frac{b^{2} n x^{2}}{8 c^{2}} + \frac{b n x^{3}}{12 c} + \frac{n x^{4} \log{\left(b x + c x^{2} \right)}}{4} - \frac{n x^{4}}{8} + \frac{x^{4} \log{\left(d \right)}}{4} & \text{for}\: c \neq 0 \\\frac{n x^{4} \log{\left(b \right)}}{4} + \frac{n x^{4} \log{\left(x \right)}}{4} - \frac{n x^{4}}{16} + \frac{x^{4} \log{\left(d \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**4*n*log(b + c*x)/(4*c**4) + b**3*n*x/(4*c**3) - b**2*n*x**2/(8*c**2) + b*n*x**3/(12*c) + n*x**4*log(b*x + c*x**2)/4 - n*x**4/8 + x**4*log(d)/4, Ne(c, 0)), (n*x**4*log(b)/4 + n*x**4*log(x)/4 - n*x**4/16 + x**4*log(d)/4, True))","A",0
62,1,107,0,5.354333," ","integrate(x**2*ln(d*(c*x**2+b*x)**n),x)","\begin{cases} \frac{b^{3} n \log{\left(b + c x \right)}}{3 c^{3}} - \frac{b^{2} n x}{3 c^{2}} + \frac{b n x^{2}}{6 c} + \frac{n x^{3} \log{\left(b x + c x^{2} \right)}}{3} - \frac{2 n x^{3}}{9} + \frac{x^{3} \log{\left(d \right)}}{3} & \text{for}\: c \neq 0 \\\frac{n x^{3} \log{\left(b \right)}}{3} + \frac{n x^{3} \log{\left(x \right)}}{3} - \frac{n x^{3}}{9} + \frac{x^{3} \log{\left(d \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b**3*n*log(b + c*x)/(3*c**3) - b**2*n*x/(3*c**2) + b*n*x**2/(6*c) + n*x**3*log(b*x + c*x**2)/3 - 2*n*x**3/9 + x**3*log(d)/3, Ne(c, 0)), (n*x**3*log(b)/3 + n*x**3*log(x)/3 - n*x**3/9 + x**3*log(d)/3, True))","A",0
63,1,92,0,2.685717," ","integrate(x*ln(d*(c*x**2+b*x)**n),x)","\begin{cases} - \frac{b^{2} n \log{\left(b + c x \right)}}{2 c^{2}} + \frac{b n x}{2 c} + \frac{n x^{2} \log{\left(b x + c x^{2} \right)}}{2} - \frac{n x^{2}}{2} + \frac{x^{2} \log{\left(d \right)}}{2} & \text{for}\: c \neq 0 \\\frac{n x^{2} \log{\left(b \right)}}{2} + \frac{n x^{2} \log{\left(x \right)}}{2} - \frac{n x^{2}}{4} + \frac{x^{2} \log{\left(d \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**2*n*log(b + c*x)/(2*c**2) + b*n*x/(2*c) + n*x**2*log(b*x + c*x**2)/2 - n*x**2/2 + x**2*log(d)/2, Ne(c, 0)), (n*x**2*log(b)/2 + n*x**2*log(x)/2 - n*x**2/4 + x**2*log(d)/2, True))","A",0
64,1,56,0,1.382720," ","integrate(ln(d*(c*x**2+b*x)**n),x)","\begin{cases} \frac{b n \log{\left(b + c x \right)}}{c} + n x \log{\left(b x + c x^{2} \right)} - 2 n x + x \log{\left(d \right)} & \text{for}\: c \neq 0 \\n x \log{\left(b \right)} + n x \log{\left(x \right)} - n x + x \log{\left(d \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*n*log(b + c*x)/c + n*x*log(b*x + c*x**2) - 2*n*x + x*log(d), Ne(c, 0)), (n*x*log(b) + n*x*log(x) - n*x + x*log(d), True))","A",0
65,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x)**n)/x,x)","\int \frac{\log{\left(d \left(b x + c x^{2}\right)^{n} \right)}}{x}\, dx"," ",0,"Integral(log(d*(b*x + c*x**2)**n)/x, x)","F",0
66,1,76,0,3.409005," ","integrate(ln(d*(c*x**2+b*x)**n)/x**2,x)","\begin{cases} - \frac{n \log{\left(b x + c x^{2} \right)}}{x} - \frac{n}{x} - \frac{\log{\left(d \right)}}{x} - \frac{2 c n \log{\left(b + c x \right)}}{b} + \frac{c n \log{\left(b x + c x^{2} \right)}}{b} & \text{for}\: b \neq 0 \\- \frac{n \log{\left(c \right)}}{x} - \frac{2 n \log{\left(x \right)}}{x} - \frac{2 n}{x} - \frac{\log{\left(d \right)}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-n*log(b*x + c*x**2)/x - n/x - log(d)/x - 2*c*n*log(b + c*x)/b + c*n*log(b*x + c*x**2)/b, Ne(b, 0)), (-n*log(c)/x - 2*n*log(x)/x - 2*n/x - log(d)/x, True))","A",0
67,1,110,0,6.952214," ","integrate(ln(d*(c*x**2+b*x)**n)/x**3,x)","\begin{cases} - \frac{n \log{\left(b x + c x^{2} \right)}}{2 x^{2}} - \frac{n}{4 x^{2}} - \frac{\log{\left(d \right)}}{2 x^{2}} - \frac{c n}{2 b x} + \frac{c^{2} n \log{\left(b + c x \right)}}{b^{2}} - \frac{c^{2} n \log{\left(b x + c x^{2} \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\- \frac{n \log{\left(c \right)}}{2 x^{2}} - \frac{n \log{\left(x \right)}}{x^{2}} - \frac{n}{2 x^{2}} - \frac{\log{\left(d \right)}}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-n*log(b*x + c*x**2)/(2*x**2) - n/(4*x**2) - log(d)/(2*x**2) - c*n/(2*b*x) + c**2*n*log(b + c*x)/b**2 - c**2*n*log(b*x + c*x**2)/(2*b**2), Ne(b, 0)), (-n*log(c)/(2*x**2) - n*log(x)/x**2 - n/(2*x**2) - log(d)/(2*x**2), True))","A",0
68,1,133,0,13.291818," ","integrate(ln(d*(c*x**2+b*x)**n)/x**4,x)","\begin{cases} - \frac{n \log{\left(b x + c x^{2} \right)}}{3 x^{3}} - \frac{n}{9 x^{3}} - \frac{\log{\left(d \right)}}{3 x^{3}} - \frac{c n}{6 b x^{2}} + \frac{c^{2} n}{3 b^{2} x} - \frac{2 c^{3} n \log{\left(b + c x \right)}}{3 b^{3}} + \frac{c^{3} n \log{\left(b x + c x^{2} \right)}}{3 b^{3}} & \text{for}\: b \neq 0 \\- \frac{n \log{\left(c \right)}}{3 x^{3}} - \frac{2 n \log{\left(x \right)}}{3 x^{3}} - \frac{2 n}{9 x^{3}} - \frac{\log{\left(d \right)}}{3 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-n*log(b*x + c*x**2)/(3*x**3) - n/(9*x**3) - log(d)/(3*x**3) - c*n/(6*b*x**2) + c**2*n/(3*b**2*x) - 2*c**3*n*log(b + c*x)/(3*b**3) + c**3*n*log(b*x + c*x**2)/(3*b**3), Ne(b, 0)), (-n*log(c)/(3*x**3) - 2*n*log(x)/(3*x**3) - 2*n/(9*x**3) - log(d)/(3*x**3), True))","A",0
69,1,141,0,24.245996," ","integrate(ln(d*(c*x**2+b*x)**n)/x**5,x)","\begin{cases} - \frac{n \log{\left(b x + c x^{2} \right)}}{4 x^{4}} - \frac{n}{16 x^{4}} - \frac{\log{\left(d \right)}}{4 x^{4}} - \frac{c n}{12 b x^{3}} + \frac{c^{2} n}{8 b^{2} x^{2}} - \frac{c^{3} n}{4 b^{3} x} + \frac{c^{4} n \log{\left(b + c x \right)}}{2 b^{4}} - \frac{c^{4} n \log{\left(b x + c x^{2} \right)}}{4 b^{4}} & \text{for}\: b \neq 0 \\- \frac{n \log{\left(c \right)}}{4 x^{4}} - \frac{n \log{\left(x \right)}}{2 x^{4}} - \frac{n}{8 x^{4}} - \frac{\log{\left(d \right)}}{4 x^{4}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-n*log(b*x + c*x**2)/(4*x**4) - n/(16*x**4) - log(d)/(4*x**4) - c*n/(12*b*x**3) + c**2*n/(8*b**2*x**2) - c**3*n/(4*b**3*x) + c**4*n*log(b + c*x)/(2*b**4) - c**4*n*log(b*x + c*x**2)/(4*b**4), Ne(b, 0)), (-n*log(c)/(4*x**4) - n*log(x)/(2*x**4) - n/(8*x**4) - log(d)/(4*x**4), True))","A",0
70,-1,0,0,0.000000," ","integrate(x**m*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,-1,0,0,0.000000," ","integrate(x**4*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
72,-1,0,0,0.000000," ","integrate(x**3*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
73,-1,0,0,0.000000," ","integrate(x**2*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
74,1,369,0,165.455131," ","integrate(x*ln(d*(c*x**2+b*x+a)**n),x)","\begin{cases} - \frac{b^{2} n \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)}}{8 c^{2}} + \frac{b n x}{2 c} + \frac{n x^{2} \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)}}{2} - \frac{n x^{2}}{2} + \frac{x^{2} \log{\left(d \right)}}{2} & \text{for}\: a = \frac{b^{2}}{4 c} \\- \frac{a^{2} n \log{\left(a + b x \right)}}{2 b^{2}} + \frac{a n x}{2 b} + \frac{n x^{2} \log{\left(a + b x \right)}}{2} - \frac{n x^{2}}{4} + \frac{x^{2} \log{\left(d \right)}}{2} & \text{for}\: c = 0 \\- \frac{a b n \log{\left(a + b x + c x^{2} \right)}}{c \sqrt{- 4 a c + b^{2}}} + \frac{2 a b n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{c \sqrt{- 4 a c + b^{2}}} + \frac{a n \log{\left(a + b x + c x^{2} \right)}}{2 c} + \frac{b^{3} n \log{\left(a + b x + c x^{2} \right)}}{4 c^{2} \sqrt{- 4 a c + b^{2}}} - \frac{b^{3} n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{2 c^{2} \sqrt{- 4 a c + b^{2}}} - \frac{b^{2} n \log{\left(a + b x + c x^{2} \right)}}{4 c^{2}} + \frac{b n x}{2 c} + \frac{n x^{2} \log{\left(a + b x + c x^{2} \right)}}{2} - \frac{n x^{2}}{2} + \frac{x^{2} \log{\left(d \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**2*n*log(b**2/(4*c) + b*x + c*x**2)/(8*c**2) + b*n*x/(2*c) + n*x**2*log(b**2/(4*c) + b*x + c*x**2)/2 - n*x**2/2 + x**2*log(d)/2, Eq(a, b**2/(4*c))), (-a**2*n*log(a + b*x)/(2*b**2) + a*n*x/(2*b) + n*x**2*log(a + b*x)/2 - n*x**2/4 + x**2*log(d)/2, Eq(c, 0)), (-a*b*n*log(a + b*x + c*x**2)/(c*sqrt(-4*a*c + b**2)) + 2*a*b*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/(c*sqrt(-4*a*c + b**2)) + a*n*log(a + b*x + c*x**2)/(2*c) + b**3*n*log(a + b*x + c*x**2)/(4*c**2*sqrt(-4*a*c + b**2)) - b**3*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/(2*c**2*sqrt(-4*a*c + b**2)) - b**2*n*log(a + b*x + c*x**2)/(4*c**2) + b*n*x/(2*c) + n*x**2*log(a + b*x + c*x**2)/2 - n*x**2/2 + x**2*log(d)/2, True))","A",0
75,1,275,0,69.124066," ","integrate(ln(d*(c*x**2+b*x+a)**n),x)","\begin{cases} \frac{b n \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)}}{2 c} + n x \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)} - 2 n x + x \log{\left(d \right)} & \text{for}\: a = \frac{b^{2}}{4 c} \\\frac{a n \log{\left(a + b x \right)}}{b} + n x \log{\left(a + b x \right)} - n x + x \log{\left(d \right)} & \text{for}\: c = 0 \\\frac{2 a n \log{\left(a + b x + c x^{2} \right)}}{\sqrt{- 4 a c + b^{2}}} - \frac{4 a n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{\sqrt{- 4 a c + b^{2}}} - \frac{b^{2} n \log{\left(a + b x + c x^{2} \right)}}{2 c \sqrt{- 4 a c + b^{2}}} + \frac{b^{2} n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{c \sqrt{- 4 a c + b^{2}}} + \frac{b n \log{\left(a + b x + c x^{2} \right)}}{2 c} + n x \log{\left(a + b x + c x^{2} \right)} - 2 n x + x \log{\left(d \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*n*log(b**2/(4*c) + b*x + c*x**2)/(2*c) + n*x*log(b**2/(4*c) + b*x + c*x**2) - 2*n*x + x*log(d), Eq(a, b**2/(4*c))), (a*n*log(a + b*x)/b + n*x*log(a + b*x) - n*x + x*log(d), Eq(c, 0)), (2*a*n*log(a + b*x + c*x**2)/sqrt(-4*a*c + b**2) - 4*a*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/sqrt(-4*a*c + b**2) - b**2*n*log(a + b*x + c*x**2)/(2*c*sqrt(-4*a*c + b**2)) + b**2*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/(c*sqrt(-4*a*c + b**2)) + b*n*log(a + b*x + c*x**2)/(2*c) + n*x*log(a + b*x + c*x**2) - 2*n*x + x*log(d), True))","A",0
76,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/x,x)","\int \frac{\log{\left(d \left(a + b x + c x^{2}\right)^{n} \right)}}{x}\, dx"," ",0,"Integral(log(d*(a + b*x + c*x**2)**n)/x, x)","F",0
77,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
81,1,46,0,0.153594," ","integrate(ln(x**2+x+1),x)","x \log{\left(x^{2} + x + 1 \right)} - 2 x + \frac{\log{\left(x^{2} + x + 1 \right)}}{2} + \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}"," ",0,"x*log(x**2 + x + 1) - 2*x + log(x**2 + x + 1)/2 + sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)","A",0
82,-1,0,0,0.000000," ","integrate((e*x+d)**4*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate((e*x+d)**3*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate((e*x+d)**2*ln(d*(c*x**2+b*x+a)**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,1,394,0,158.892217," ","integrate((e*x+d)*ln(d*(c*x**2+b*x+a)**n),x)","\begin{cases} \frac{a e n \log{\left(a + b x + c x^{2} \right)}}{2 c} - \frac{b^{2} e n \log{\left(a + b x + c x^{2} \right)}}{4 c^{2}} + \frac{b d n \log{\left(a + b x + c x^{2} \right)}}{2 c} + \frac{b e n x}{2 c} + \frac{b e n \sqrt{- 4 a c + b^{2}} \log{\left(a + b x + c x^{2} \right)}}{4 c^{2}} - \frac{b e n \sqrt{- 4 a c + b^{2}} \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{2 c^{2}} + d n x \log{\left(a + b x + c x^{2} \right)} - 2 d n x + d x \log{\left(d \right)} + \frac{e n x^{2} \log{\left(a + b x + c x^{2} \right)}}{2} - \frac{e n x^{2}}{2} + \frac{e x^{2} \log{\left(d \right)}}{2} - \frac{d n \sqrt{- 4 a c + b^{2}} \log{\left(a + b x + c x^{2} \right)}}{2 c} + \frac{d n \sqrt{- 4 a c + b^{2}} \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{c} & \text{for}\: c \neq 0 \\- \frac{a^{2} e n \log{\left(a + b x \right)}}{2 b^{2}} + \frac{a d n \log{\left(a + b x \right)}}{b} + \frac{a e n x}{2 b} + d n x \log{\left(a + b x \right)} - d n x + d x \log{\left(d \right)} + \frac{e n x^{2} \log{\left(a + b x \right)}}{2} - \frac{e n x^{2}}{4} + \frac{e x^{2} \log{\left(d \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e*n*log(a + b*x + c*x**2)/(2*c) - b**2*e*n*log(a + b*x + c*x**2)/(4*c**2) + b*d*n*log(a + b*x + c*x**2)/(2*c) + b*e*n*x/(2*c) + b*e*n*sqrt(-4*a*c + b**2)*log(a + b*x + c*x**2)/(4*c**2) - b*e*n*sqrt(-4*a*c + b**2)*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/(2*c**2) + d*n*x*log(a + b*x + c*x**2) - 2*d*n*x + d*x*log(d) + e*n*x**2*log(a + b*x + c*x**2)/2 - e*n*x**2/2 + e*x**2*log(d)/2 - d*n*sqrt(-4*a*c + b**2)*log(a + b*x + c*x**2)/(2*c) + d*n*sqrt(-4*a*c + b**2)*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/c, Ne(c, 0)), (-a**2*e*n*log(a + b*x)/(2*b**2) + a*d*n*log(a + b*x)/b + a*e*n*x/(2*b) + d*n*x*log(a + b*x) - d*n*x + d*x*log(d) + e*n*x**2*log(a + b*x)/2 - e*n*x**2/4 + e*x**2*log(d)/2, True))","A",0
86,1,275,0,65.130891," ","integrate(ln(d*(c*x**2+b*x+a)**n),x)","\begin{cases} \frac{b n \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)}}{2 c} + n x \log{\left(\frac{b^{2}}{4 c} + b x + c x^{2} \right)} - 2 n x + x \log{\left(d \right)} & \text{for}\: a = \frac{b^{2}}{4 c} \\\frac{a n \log{\left(a + b x \right)}}{b} + n x \log{\left(a + b x \right)} - n x + x \log{\left(d \right)} & \text{for}\: c = 0 \\\frac{2 a n \log{\left(a + b x + c x^{2} \right)}}{\sqrt{- 4 a c + b^{2}}} - \frac{4 a n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{\sqrt{- 4 a c + b^{2}}} - \frac{b^{2} n \log{\left(a + b x + c x^{2} \right)}}{2 c \sqrt{- 4 a c + b^{2}}} + \frac{b^{2} n \log{\left(\frac{b}{2 c} + x + \frac{\sqrt{- 4 a c + b^{2}}}{2 c} \right)}}{c \sqrt{- 4 a c + b^{2}}} + \frac{b n \log{\left(a + b x + c x^{2} \right)}}{2 c} + n x \log{\left(a + b x + c x^{2} \right)} - 2 n x + x \log{\left(d \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*n*log(b**2/(4*c) + b*x + c*x**2)/(2*c) + n*x*log(b**2/(4*c) + b*x + c*x**2) - 2*n*x + x*log(d), Eq(a, b**2/(4*c))), (a*n*log(a + b*x)/b + n*x*log(a + b*x) - n*x + x*log(d), Eq(c, 0)), (2*a*n*log(a + b*x + c*x**2)/sqrt(-4*a*c + b**2) - 4*a*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/sqrt(-4*a*c + b**2) - b**2*n*log(a + b*x + c*x**2)/(2*c*sqrt(-4*a*c + b**2)) + b**2*n*log(b/(2*c) + x + sqrt(-4*a*c + b**2)/(2*c))/(c*sqrt(-4*a*c + b**2)) + b*n*log(a + b*x + c*x**2)/(2*c) + n*x*log(a + b*x + c*x**2) - 2*n*x + x*log(d), True))","A",0
87,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(e*x+d),x)","\int \frac{\log{\left(d \left(a + b x + c x^{2}\right)^{n} \right)}}{d + e x}\, dx"," ",0,"Integral(log(d*(a + b*x + c*x**2)**n)/(d + e*x), x)","F",0
88,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(e*x+d)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
89,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(e*x+d)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(e*x+d)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
91,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(e*x+d)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
92,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+a)**n)/(c*e*x**2+a*e),x)","\frac{\int \frac{\log{\left(d \left(a + c x^{2}\right)^{n} \right)}}{a + c x^{2}}\, dx}{e}"," ",0,"Integral(log(d*(a + c*x**2)**n)/(a + c*x**2), x)/e","F",0
93,-1,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)/(c*e*x**2+b*e*x+a*e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
94,-1,0,0,0.000000," ","integrate(ln(g*(c*x**2+b*x+a)**n)/(e*x**2+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
95,-1,0,0,0.000000," ","integrate(ln(g*(c*x**2+b*x+a)**n)/(f*x**2+e*x+d),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
96,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x)**n)**2,x)","\int \log{\left(d \left(b x + c x^{2}\right)^{n} \right)}^{2}\, dx"," ",0,"Integral(log(d*(b*x + c*x**2)**n)**2, x)","F",0
97,0,0,0,0.000000," ","integrate(ln(d*(c*x**2+b*x+a)**n)**2,x)","\int \log{\left(d \left(a + b x + c x^{2}\right)^{n} \right)}^{2}\, dx"," ",0,"Integral(log(d*(a + b*x + c*x**2)**n)**2, x)","F",0
98,-1,0,0,0.000000," ","integrate(x**2*ln(x**2+x+1)/(x**2+3*x+2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
99,-2,0,0,0.000000," ","integrate(ln(x**2+x+1)**2,x)","\text{Exception raised: RecursionError}"," ",0,"Exception raised: RecursionError","F(-2)",0
100,-1,0,0,0.000000," ","integrate(ln(x**2+x-1)**2/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
101,-1,0,0,0.000000," ","integrate(x**3*ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
102,-1,0,0,0.000000," ","integrate(x**2*ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
103,0,0,0,0.000000," ","integrate(x*ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\int x \log{\left(4 x + 4 \sqrt{x^{2} - x} - 1 \right)}\, dx"," ",0,"Integral(x*log(4*x + 4*sqrt(x**2 - x) - 1), x)","F",0
104,0,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\int \log{\left(4 x + 4 \sqrt{x \left(x - 1\right)} - 1 \right)}\, dx"," ",0,"Integral(log(4*x + 4*sqrt(x*(x - 1)) - 1), x)","F",0
105,0,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x,x)","\int \frac{\log{\left(4 x + 4 \sqrt{x^{2} - x} - 1 \right)}}{x}\, dx"," ",0,"Integral(log(4*x + 4*sqrt(x**2 - x) - 1)/x, x)","F",0
106,0,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x**2,x)","\int \frac{\log{\left(4 x + 4 \sqrt{x^{2} - x} - 1 \right)}}{x^{2}}\, dx"," ",0,"Integral(log(4*x + 4*sqrt(x**2 - x) - 1)/x**2, x)","F",0
107,-1,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
108,-1,0,0,0.000000," ","integrate(x**(3/2)*ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
109,-1,0,0,0.000000," ","integrate(x**(1/2)*ln(-1+4*x+4*((-1+x)*x)**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
110,-1,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
111,-1,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
112,-1,0,0,0.000000," ","integrate(ln(-1+4*x+4*((-1+x)*x)**(1/2))/x**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
113,0,0,0,0.000000," ","integrate(x**3*ln(a+b*exp(x)),x)","- \frac{b \int \frac{x^{4} e^{x}}{a + b e^{x}}\, dx}{4} + \frac{x^{4} \log{\left(a + b e^{x} \right)}}{4}"," ",0,"-b*Integral(x**4*exp(x)/(a + b*exp(x)), x)/4 + x**4*log(a + b*exp(x))/4","F",0
114,0,0,0,0.000000," ","integrate(x**2*ln(a+b*exp(x)),x)","- \frac{b \int \frac{x^{3} e^{x}}{a + b e^{x}}\, dx}{3} + \frac{x^{3} \log{\left(a + b e^{x} \right)}}{3}"," ",0,"-b*Integral(x**3*exp(x)/(a + b*exp(x)), x)/3 + x**3*log(a + b*exp(x))/3","F",0
115,0,0,0,0.000000," ","integrate(x*ln(a+b*exp(x)),x)","- \frac{b \int \frac{x^{2} e^{x}}{a + b e^{x}}\, dx}{2} + \frac{x^{2} \log{\left(a + b e^{x} \right)}}{2}"," ",0,"-b*Integral(x**2*exp(x)/(a + b*exp(x)), x)/2 + x**2*log(a + b*exp(x))/2","F",0
116,0,0,0,0.000000," ","integrate(ln(a+b*exp(x)),x)","- b \int \frac{x e^{x}}{a + b e^{x}}\, dx + x \log{\left(a + b e^{x} \right)}"," ",0,"-b*Integral(x*exp(x)/(a + b*exp(x)), x) + x*log(a + b*exp(x))","F",0
117,0,0,0,0.000000," ","integrate(ln(a+b*exp(x))/x,x)","\int \frac{\log{\left(a + b e^{x} \right)}}{x}\, dx"," ",0,"Integral(log(a + b*exp(x))/x, x)","F",0
118,0,0,0,0.000000," ","integrate(x**3*ln(1+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{4} e^{b c n x \log{\left(f \right)}}}{e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}} + 1}\, dx}{4} + \frac{x^{4} \log{\left(e \left(f^{c \left(a + b x\right)}\right)^{n} + 1 \right)}}{4}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**4*exp(b*c*n*x*log(f))/(e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f)) + 1), x)/4 + x**4*log(e*(f**(c*(a + b*x)))**n + 1)/4","F",0
119,0,0,0,0.000000," ","integrate(x**2*ln(1+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{3} e^{b c n x \log{\left(f \right)}}}{e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}} + 1}\, dx}{3} + \frac{x^{3} \log{\left(e \left(f^{c \left(a + b x\right)}\right)^{n} + 1 \right)}}{3}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**3*exp(b*c*n*x*log(f))/(e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f)) + 1), x)/3 + x**3*log(e*(f**(c*(a + b*x)))**n + 1)/3","F",0
120,0,0,0,0.000000," ","integrate(x*ln(1+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{2} e^{b c n x \log{\left(f \right)}}}{e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}} + 1}\, dx}{2} + \frac{x^{2} \log{\left(e \left(f^{c \left(a + b x\right)}\right)^{n} + 1 \right)}}{2}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**2*exp(b*c*n*x*log(f))/(e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f)) + 1), x)/2 + x**2*log(e*(f**(c*(a + b*x)))**n + 1)/2","F",0
121,0,0,0,0.000000," ","integrate(ln(1+e*(f**(c*(b*x+a)))**n),x)","- b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x e^{b c n x \log{\left(f \right)}}}{e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}} + 1}\, dx + x \log{\left(e \left(f^{c \left(a + b x\right)}\right)^{n} + 1 \right)}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x*exp(b*c*n*x*log(f))/(e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f)) + 1), x) + x*log(e*(f**(c*(a + b*x)))**n + 1)","F",0
122,0,0,0,0.000000," ","integrate(ln(1+e*(f**(c*(b*x+a)))**n)/x,x)","\int \frac{\log{\left(e \left(f^{a c} f^{b c x}\right)^{n} + 1 \right)}}{x}\, dx"," ",0,"Integral(log(e*(f**(a*c)*f**(b*c*x))**n + 1)/x, x)","F",0
123,0,0,0,0.000000," ","integrate(x**3*ln(d+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{4} e^{b c n x \log{\left(f \right)}}}{d + e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}}}\, dx}{4} + \frac{x^{4} \log{\left(d + e \left(f^{c \left(a + b x\right)}\right)^{n} \right)}}{4}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**4*exp(b*c*n*x*log(f))/(d + e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f))), x)/4 + x**4*log(d + e*(f**(c*(a + b*x)))**n)/4","F",0
124,0,0,0,0.000000," ","integrate(x**2*ln(d+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{3} e^{b c n x \log{\left(f \right)}}}{d + e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}}}\, dx}{3} + \frac{x^{3} \log{\left(d + e \left(f^{c \left(a + b x\right)}\right)^{n} \right)}}{3}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**3*exp(b*c*n*x*log(f))/(d + e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f))), x)/3 + x**3*log(d + e*(f**(c*(a + b*x)))**n)/3","F",0
125,0,0,0,0.000000," ","integrate(x*ln(d+e*(f**(c*(b*x+a)))**n),x)","- \frac{b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x^{2} e^{b c n x \log{\left(f \right)}}}{d + e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}}}\, dx}{2} + \frac{x^{2} \log{\left(d + e \left(f^{c \left(a + b x\right)}\right)^{n} \right)}}{2}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x**2*exp(b*c*n*x*log(f))/(d + e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f))), x)/2 + x**2*log(d + e*(f**(c*(a + b*x)))**n)/2","F",0
126,0,0,0,0.000000," ","integrate(ln(d+e*(f**(c*(b*x+a)))**n),x)","- b c e n e^{a c n \log{\left(f \right)}} \log{\left(f \right)} \int \frac{x e^{b c n x \log{\left(f \right)}}}{d + e e^{a c n \log{\left(f \right)}} e^{b c n x \log{\left(f \right)}}}\, dx + x \log{\left(d + e \left(f^{c \left(a + b x\right)}\right)^{n} \right)}"," ",0,"-b*c*e*n*exp(a*c*n*log(f))*log(f)*Integral(x*exp(b*c*n*x*log(f))/(d + e*exp(a*c*n*log(f))*exp(b*c*n*x*log(f))), x) + x*log(d + e*(f**(c*(a + b*x)))**n)","F",0
127,0,0,0,0.000000," ","integrate(ln(d+e*(f**(c*(b*x+a)))**n)/x,x)","\int \frac{\log{\left(d + e \left(f^{a c} f^{b c x}\right)^{n} \right)}}{x}\, dx"," ",0,"Integral(log(d + e*(f**(a*c)*f**(b*c*x))**n)/x, x)","F",0
128,0,0,0,0.000000," ","integrate(ln(b*(F**(e*(d*x+c)))**n+pi),x)","- b d e n e^{c e n \log{\left(F \right)}} \log{\left(F \right)} \int \frac{x e^{d e n x \log{\left(F \right)}}}{b e^{c e n \log{\left(F \right)}} e^{d e n x \log{\left(F \right)}} + \pi}\, dx + x \log{\left(b \left(F^{e \left(c + d x\right)}\right)^{n} + \pi \right)}"," ",0,"-b*d*e*n*exp(c*e*n*log(F))*log(F)*Integral(x*exp(d*e*n*x*log(F))/(b*exp(c*e*n*log(F))*exp(d*e*n*x*log(F)) + pi), x) + x*log(b*(F**(e*(c + d*x)))**n + pi)","F",0
129,1,5,0,0.095509," ","integrate(1/x/(3+ln(x)),x)","\log{\left(\log{\left(x \right)} + 3 \right)}"," ",0,"log(log(x) + 3)","A",0
130,1,10,0,0.801582," ","integrate((1+ln(x))**(1/2)/x,x)","\frac{2 \left(\log{\left(x \right)} + 1\right)^{\frac{3}{2}}}{3}"," ",0,"2*(log(x) + 1)**(3/2)/3","A",0
131,1,39,0,0.144073," ","integrate((1+ln(x))**5/x,x)","\frac{\log{\left(x \right)}^{6}}{6} + \log{\left(x \right)}^{5} + \frac{5 \log{\left(x \right)}^{4}}{2} + \frac{10 \log{\left(x \right)}^{3}}{3} + \frac{5 \log{\left(x \right)}^{2}}{2} + \log{\left(x \right)}"," ",0,"log(x)**6/6 + log(x)**5 + 5*log(x)**4/2 + 10*log(x)**3/3 + 5*log(x)**2/2 + log(x)","B",0
132,1,7,0,0.397961," ","integrate(1/x/ln(x)**(1/2),x)","2 \sqrt{\log{\left(x \right)}}"," ",0,"2*sqrt(log(x))","A",0
133,1,15,0,0.137450," ","integrate(1/x/(1+ln(x)**2),x)","\operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + \log{\left(x \right)} \right)} \right)\right)}"," ",0,"RootSum(4*_z**2 + 1, Lambda(_i, _i*log(2*_i + log(x))))","B",0
134,0,0,0,0.000000," ","integrate(1/x/(-3+ln(x)**2)**(1/2),x)","\int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} - 3}}\, dx"," ",0,"Integral(1/(x*sqrt(log(x)**2 - 3)), x)","F",0
135,0,0,0,0.000000," ","integrate(1/x/(4-9*ln(x)**2)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(3 \log{\left(x \right)} - 2\right) \left(3 \log{\left(x \right)} + 2\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(-(3*log(x) - 2)*(3*log(x) + 2))), x)","F",0
136,0,0,0,0.000000," ","integrate(1/x/(4+ln(x)**2)**(1/2),x)","\int \frac{1}{x \sqrt{\log{\left(x \right)}^{2} + 4}}\, dx"," ",0,"Integral(1/(x*sqrt(log(x)**2 + 4)), x)","F",0
137,1,17,0,0.173111," ","integrate(1/x/(2+3*ln(6*x)**3),x)","\operatorname{RootSum} {\left(324 z^{3} - 1, \left( i \mapsto i \log{\left(6 i + \log{\left(6 x \right)} \right)} \right)\right)}"," ",0,"RootSum(324*_z**3 - 1, Lambda(_i, _i*log(6*_i + log(6*x))))","A",0
138,1,8,0,0.249902," ","integrate(ln(ln(6*x))/x/ln(6*x),x)","\frac{\log{\left(\log{\left(6 x \right)} \right)}^{2}}{2}"," ",0,"log(log(6*x))**2/2","A",0
139,1,7,0,0.384405," ","integrate(2**ln(x)/x,x)","\frac{2^{\log{\left(x \right)}}}{\log{\left(2 \right)}}"," ",0,"2**log(x)/log(2)","A",0
140,1,156,0,3.369132," ","integrate(sin(ln(x))**2/x,x)","\frac{\log{\left(x \right)} \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)}}{2 \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 4 \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 2} + \frac{2 \log{\left(x \right)} \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)}}{2 \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 4 \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 2} + \frac{\log{\left(x \right)}}{2 \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 4 \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 2} + \frac{2 \tan^{3}{\left(\frac{\log{\left(x \right)}}{2} \right)}}{2 \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 4 \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 2} - \frac{2 \tan{\left(\frac{\log{\left(x \right)}}{2} \right)}}{2 \tan^{4}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 4 \tan^{2}{\left(\frac{\log{\left(x \right)}}{2} \right)} + 2}"," ",0,"log(x)*tan(log(x)/2)**4/(2*tan(log(x)/2)**4 + 4*tan(log(x)/2)**2 + 2) + 2*log(x)*tan(log(x)/2)**2/(2*tan(log(x)/2)**4 + 4*tan(log(x)/2)**2 + 2) + log(x)/(2*tan(log(x)/2)**4 + 4*tan(log(x)/2)**2 + 2) + 2*tan(log(x)/2)**3/(2*tan(log(x)/2)**4 + 4*tan(log(x)/2)**2 + 2) - 2*tan(log(x)/2)/(2*tan(log(x)/2)**4 + 4*tan(log(x)/2)**2 + 2)","B",0
141,1,10,0,0.107931," ","integrate((7-ln(x))/x/(3+ln(x)),x)","- \log{\left(x \right)} + 10 \log{\left(\log{\left(x \right)} + 3 \right)}"," ",0,"-log(x) + 10*log(log(x) + 3)","A",0
142,1,27,0,0.135002," ","integrate((2-ln(x))*(3+ln(x))**2/x,x)","- \frac{\log{\left(x \right)}^{4}}{4} - \frac{4 \log{\left(x \right)}^{3}}{3} + \frac{3 \log{\left(x \right)}^{2}}{2} + 18 \log{\left(x \right)}"," ",0,"-log(x)**4/4 - 4*log(x)**3/3 + 3*log(x)**2/2 + 18*log(x)","A",0
143,0,0,0,0.000000," ","integrate(ln(x)**2*(1+ln(x)**2)**(1/2)/x,x)","\int \frac{\sqrt{\log{\left(x \right)}^{2} + 1} \log{\left(x \right)}^{2}}{x}\, dx"," ",0,"Integral(sqrt(log(x)**2 + 1)*log(x)**2/x, x)","F",0
144,1,17,0,0.124995," ","integrate((1+ln(x))/x/(3+2*ln(x))**2,x)","\frac{\log{\left(\log{\left(x \right)} + \frac{3}{2} \right)}}{4} + \frac{1}{8 \log{\left(x \right)} + 12}"," ",0,"log(log(x) + 3/2)/4 + 1/(8*log(x) + 12)","A",0
145,1,20,0,4.819975," ","integrate(ln(x)/x/(1+ln(x))**(1/2),x)","\frac{2 \left(\log{\left(x \right)} + 1\right)^{\frac{3}{2}}}{3} - 2 \sqrt{\log{\left(x \right)} + 1}"," ",0,"2*(log(x) + 1)**(3/2)/3 - 2*sqrt(log(x) + 1)","A",0
146,1,22,0,5.429938," ","integrate(ln(x)/x/(-1+4*ln(x))**(1/2),x)","\frac{\left(4 \log{\left(x \right)} - 1\right)^{\frac{3}{2}}}{24} + \frac{\sqrt{4 \log{\left(x \right)} - 1}}{8}"," ",0,"(4*log(x) - 1)**(3/2)/24 + sqrt(4*log(x) - 1)/8","A",0
147,1,32,0,2.085819," ","integrate((1+ln(x))**(1/2)/x/ln(x),x)","2 \sqrt{\log{\left(x \right)} + 1} + \log{\left(\sqrt{\log{\left(x \right)} + 1} - 1 \right)} - \log{\left(\sqrt{\log{\left(x \right)} + 1} + 1 \right)}"," ",0,"2*sqrt(log(x) + 1) + log(sqrt(log(x) + 1) - 1) - log(sqrt(log(x) + 1) + 1)","A",0
148,1,32,0,0.128575," ","integrate((1-4*ln(x)+ln(x)**2)/x/(-1+ln(x))**4,x)","\frac{- 3 \log{\left(x \right)}^{2} + 9 \log{\left(x \right)} - 4}{3 \log{\left(x \right)}^{3} - 9 \log{\left(x \right)}^{2} + 9 \log{\left(x \right)} - 3}"," ",0,"(-3*log(x)**2 + 9*log(x) - 4)/(3*log(x)**3 - 9*log(x)**2 + 9*log(x) - 3)","A",0
149,0,0,0,0.000000," ","integrate((ln(a*x**n)**2)**p/x,x)","\int \frac{\left(\log{\left(a x^{n} \right)}^{2}\right)^{p}}{x}\, dx"," ",0,"Integral((log(a*x**n)**2)**p/x, x)","F",0
150,0,0,0,0.000000," ","integrate((ln(a*x**n)**m)**p/x,x)","\int \frac{\left(\log{\left(a x^{n} \right)}^{m}\right)^{p}}{x}\, dx"," ",0,"Integral((log(a*x**n)**m)**p/x, x)","F",0
151,0,0,0,0.000000," ","integrate((ln(a*x**n)**2)**(1/2)/x,x)","\int \frac{\sqrt{\log{\left(a x^{n} \right)}^{2}}}{x}\, dx"," ",0,"Integral(sqrt(log(a*x**n)**2)/x, x)","F",0
152,0,0,0,0.000000," ","integrate((b*ln(a*x**n)**m)**p/x,x)","\int \frac{\left(b \log{\left(a x^{n} \right)}^{m}\right)^{p}}{x}\, dx"," ",0,"Integral((b*log(a*x**n)**m)**p/x, x)","F",0
153,1,3,0,0.071564," ","integrate(1/x/ln(exp(x)),x)","- \frac{1}{x}"," ",0,"-1/x","A",0
154,0,0,0,0.000000," ","integrate(ln(x)*sin(b*x+a),x)","\int \log{\left(x \right)} \sin{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sin(a + b*x), x)","F",0
155,0,0,0,0.000000," ","integrate(ln(x)*sin(b*x+a)**2,x)","\int \log{\left(x \right)} \sin^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sin(a + b*x)**2, x)","F",0
156,0,0,0,0.000000," ","integrate(ln(x)*sin(b*x+a)**3,x)","\int \log{\left(x \right)} \sin^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sin(a + b*x)**3, x)","F",0
157,0,0,0,0.000000," ","integrate(cos(b*x+a)*ln(x),x)","\int \log{\left(x \right)} \cos{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cos(a + b*x), x)","F",0
158,0,0,0,0.000000," ","integrate(cos(b*x+a)**2*ln(x),x)","\int \log{\left(x \right)} \cos^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cos(a + b*x)**2, x)","F",0
159,0,0,0,0.000000," ","integrate(cos(b*x+a)**3*ln(x),x)","\int \log{\left(x \right)} \cos^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cos(a + b*x)**3, x)","F",0
160,1,5,0,13.685572," ","integrate(cos(x)*ln(x)+sin(x)/x,x)","\log{\left(x \right)} \sin{\left(x \right)}"," ",0,"log(x)*sin(x)","A",0
161,0,0,0,0.000000," ","integrate(ln(a*sin(x)),x)","\int \log{\left(a \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sin(x)), x)","F",0
162,0,0,0,0.000000," ","integrate(ln(a*sin(x)**2),x)","\int \log{\left(a \sin^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sin(x)**2), x)","F",0
163,0,0,0,0.000000," ","integrate(ln(a*sin(x)**n),x)","\int \log{\left(a \sin^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sin(x)**n), x)","F",0
164,0,0,0,0.000000," ","integrate(ln(a*cos(x)),x)","\int \log{\left(a \cos{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cos(x)), x)","F",0
165,0,0,0,0.000000," ","integrate(ln(a*cos(x)**2),x)","\int \log{\left(a \cos^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cos(x)**2), x)","F",0
166,0,0,0,0.000000," ","integrate(ln(a*cos(x)**n),x)","\int \log{\left(a \cos^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cos(x)**n), x)","F",0
167,0,0,0,0.000000," ","integrate(ln(a*tan(x)),x)","\int \log{\left(a \tan{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tan(x)), x)","F",0
168,0,0,0,0.000000," ","integrate(ln(a*tan(x)**2),x)","\int \log{\left(a \tan^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tan(x)**2), x)","F",0
169,0,0,0,0.000000," ","integrate(ln(a*tan(x)**n),x)","\int \log{\left(a \tan^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tan(x)**n), x)","F",0
170,0,0,0,0.000000," ","integrate(ln(a*cot(x)),x)","\int \log{\left(a \cot{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cot(x)), x)","F",0
171,0,0,0,0.000000," ","integrate(ln(a*cot(x)**2),x)","\int \log{\left(a \cot^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cot(x)**2), x)","F",0
172,0,0,0,0.000000," ","integrate(ln(a*cot(x)**n),x)","\int \log{\left(a \cot^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cot(x)**n), x)","F",0
173,0,0,0,0.000000," ","integrate(ln(a*sec(x)),x)","\int \log{\left(a \sec{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sec(x)), x)","F",0
174,0,0,0,0.000000," ","integrate(ln(a*sec(x)**2),x)","\int \log{\left(a \sec^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sec(x)**2), x)","F",0
175,0,0,0,0.000000," ","integrate(ln(a*sec(x)**n),x)","\int \log{\left(a \sec^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sec(x)**n), x)","F",0
176,0,0,0,0.000000," ","integrate(ln(a*csc(x)),x)","\int \log{\left(a \csc{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csc(x)), x)","F",0
177,0,0,0,0.000000," ","integrate(ln(a*csc(x)**2),x)","\int \log{\left(a \csc^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csc(x)**2), x)","F",0
178,0,0,0,0.000000," ","integrate(ln(a*csc(x)**n),x)","\int \log{\left(a \csc^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csc(x)**n), x)","F",0
179,0,0,0,0.000000," ","integrate(cos(x)*ln(1/2-1/2*cos(2*x)),x)","\int \log{\left(\frac{1}{2} - \frac{\cos{\left(2 x \right)}}{2} \right)} \cos{\left(x \right)}\, dx"," ",0,"Integral(log(1/2 - cos(2*x)/2)*cos(x), x)","F",0
180,0,0,0,0.000000," ","integrate(cot(x)/ln(E*sin(x)),x)","\int \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)} + 1}\, dx"," ",0,"Integral(cot(x)/(log(sin(x)) + 1), x)","F",0
181,0,0,0,0.000000," ","integrate(cot(x)/ln(exp(sin(x))),x)","\int \frac{\cot{\left(x \right)}}{\log{\left(e^{\sin{\left(x \right)}} \right)}}\, dx"," ",0,"Integral(cot(x)/log(exp(sin(x))), x)","F",0
182,1,15,0,18.327708," ","integrate(ln(cos(x))*sec(x)**2,x)","- x + \log{\left(\cos{\left(x \right)} \right)} \tan{\left(x \right)} + \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"-x + log(cos(x))*tan(x) + sin(x)/cos(x)","A",0
183,-1,0,0,0.000000," ","integrate(cot(x)*ln(sin(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,1,17,0,4.925236," ","integrate(cos(x)*ln(sin(x))*sin(x)**2,x)","\frac{\log{\left(\sin{\left(x \right)} \right)} \sin^{3}{\left(x \right)}}{3} - \frac{\sin^{3}{\left(x \right)}}{9}"," ",0,"log(sin(x))*sin(x)**3/3 - sin(x)**3/9","A",0
185,0,0,0,0.000000," ","integrate(cos(b*x+a)*ln(cos(1/2*a+1/2*b*x)*sin(1/2*a+1/2*b*x)),x)","\int \log{\left(\sin{\left(\frac{a}{2} + \frac{b x}{2} \right)} \cos{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \cos{\left(a + b x \right)}\, dx"," ",0,"Integral(log(sin(a/2 + b*x/2)*cos(a/2 + b*x/2))*cos(a + b*x), x)","F",0
186,0,0,0,0.000000," ","integrate(tan(x)/ln(cos(x)),x)","\int \frac{\tan{\left(x \right)}}{\log{\left(\cos{\left(x \right)} \right)}}\, dx"," ",0,"Integral(tan(x)/log(cos(x)), x)","F",0
187,1,8,0,3.531579," ","integrate(ln(cos(x))*tan(x),x)","- \frac{\log{\left(\cos{\left(x \right)} \right)}^{2}}{2}"," ",0,"-log(cos(x))**2/2","A",0
188,1,10,0,0.869141," ","integrate(ln(cos(x))*sin(x),x)","- \log{\left(\cos{\left(x \right)} \right)} \cos{\left(x \right)} + \cos{\left(x \right)}"," ",0,"-log(cos(x))*cos(x) + cos(x)","A",0
189,1,223,0,2.360980," ","integrate(cos(x)*ln(cos(x)),x)","- \frac{\log{\left(- \frac{\tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} \right)} \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \log{\left(- \frac{\tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} \right)} \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{\log{\left(- \frac{\tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} + \frac{2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1} - \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}"," ",0,"-log(-tan(x/2)**2/(tan(x/2)**2 + 1) + 1/(tan(x/2)**2 + 1))*tan(x/2)**2/(tan(x/2)**2 + 1) + 2*log(-tan(x/2)**2/(tan(x/2)**2 + 1) + 1/(tan(x/2)**2 + 1))*tan(x/2)/(tan(x/2)**2 + 1) - log(-tan(x/2)**2/(tan(x/2)**2 + 1) + 1/(tan(x/2)**2 + 1))/(tan(x/2)**2 + 1) + 2*log(tan(x/2) + 1)*tan(x/2)**2/(tan(x/2)**2 + 1) + 2*log(tan(x/2) + 1)/(tan(x/2)**2 + 1) - log(tan(x/2)**2 + 1)*tan(x/2)**2/(tan(x/2)**2 + 1) - log(tan(x/2)**2 + 1)/(tan(x/2)**2 + 1) - 2*tan(x/2)/(tan(x/2)**2 + 1)","B",0
190,1,10,0,0.868908," ","integrate(cos(x)*ln(sin(x)),x)","\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)} - \sin{\left(x \right)}"," ",0,"log(sin(x))*sin(x) - sin(x)","A",0
191,0,0,0,0.000000," ","integrate(ln(sin(x))*sin(x)**2,x)","\int \log{\left(\sin{\left(x \right)} \right)} \sin^{2}{\left(x \right)}\, dx"," ",0,"Integral(log(sin(x))*sin(x)**2, x)","F",0
192,1,439,0,7.744235," ","integrate(ln(sin(x))*sin(x)**3,x)","- \frac{6 \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan^{6}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} - \frac{18 \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan^{4}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{18 \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)} \tan^{2}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{6 \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{12 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan^{6}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{36 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan^{4}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{12 \log{\left(2 \right)} \tan^{6}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{6 \tan^{4}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{36 \log{\left(2 \right)} \tan^{4}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{24 \tan^{2}{\left(\frac{x}{2} \right)}}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9} + \frac{10}{9 \tan^{6}{\left(\frac{x}{2} \right)} + 27 \tan^{4}{\left(\frac{x}{2} \right)} + 27 \tan^{2}{\left(\frac{x}{2} \right)} + 9}"," ",0,"-6*log(tan(x/2)**2 + 1)*tan(x/2)**6/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) - 18*log(tan(x/2)**2 + 1)*tan(x/2)**4/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 18*log(tan(x/2)**2 + 1)*tan(x/2)**2/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 6*log(tan(x/2)**2 + 1)/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 12*log(tan(x/2))*tan(x/2)**6/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 36*log(tan(x/2))*tan(x/2)**4/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 12*log(2)*tan(x/2)**6/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 6*tan(x/2)**4/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 36*log(2)*tan(x/2)**4/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 24*tan(x/2)**2/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9) + 10/(9*tan(x/2)**6 + 27*tan(x/2)**4 + 27*tan(x/2)**2 + 9)","B",0
193,0,0,0,0.000000," ","integrate(ln(sin(x**(1/2))),x)","\int \log{\left(\sin{\left(\sqrt{x} \right)} \right)}\, dx"," ",0,"Integral(log(sin(sqrt(x))), x)","F",0
194,1,17,0,16.683336," ","integrate(csc(x)**2*ln(sin(x)),x)","- x - \log{\left(\sin{\left(x \right)} \right)} \cot{\left(x \right)} - \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}"," ",0,"-x - log(sin(x))*cot(x) - cos(x)/sin(x)","A",0
195,0,0,0,0.000000," ","integrate(ln(x)*sinh(b*x+a),x)","\int \log{\left(x \right)} \sinh{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sinh(a + b*x), x)","F",0
196,0,0,0,0.000000," ","integrate(ln(x)*sinh(b*x+a)**2,x)","\int \log{\left(x \right)} \sinh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sinh(a + b*x)**2, x)","F",0
197,0,0,0,0.000000," ","integrate(ln(x)*sinh(b*x+a)**3,x)","\int \log{\left(x \right)} \sinh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*sinh(a + b*x)**3, x)","F",0
198,0,0,0,0.000000," ","integrate(cosh(b*x+a)*ln(x),x)","\int \log{\left(x \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cosh(a + b*x), x)","F",0
199,0,0,0,0.000000," ","integrate(cosh(b*x+a)**2*ln(x),x)","\int \log{\left(x \right)} \cosh^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cosh(a + b*x)**2, x)","F",0
200,0,0,0,0.000000," ","integrate(cosh(b*x+a)**3*ln(x),x)","\int \log{\left(x \right)} \cosh^{3}{\left(a + b x \right)}\, dx"," ",0,"Integral(log(x)*cosh(a + b*x)**3, x)","F",0
201,0,0,0,0.000000," ","integrate(ln(a*sinh(x)),x)","\int \log{\left(a \sinh{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sinh(x)), x)","F",0
202,0,0,0,0.000000," ","integrate(ln(a*sinh(x)**2),x)","\int \log{\left(a \sinh^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sinh(x)**2), x)","F",0
203,0,0,0,0.000000," ","integrate(ln(a*sinh(x)**n),x)","\int \log{\left(a \sinh^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sinh(x)**n), x)","F",0
204,0,0,0,0.000000," ","integrate(ln(a*cosh(x)),x)","\int \log{\left(a \cosh{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cosh(x)), x)","F",0
205,0,0,0,0.000000," ","integrate(ln(a*cosh(x)**2),x)","\int \log{\left(a \cosh^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cosh(x)**2), x)","F",0
206,0,0,0,0.000000," ","integrate(ln(a*cosh(x)**n),x)","\int \log{\left(a \cosh^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*cosh(x)**n), x)","F",0
207,0,0,0,0.000000," ","integrate(ln(tanh(x)),x)","\int \log{\left(\tanh{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(tanh(x)), x)","F",0
208,0,0,0,0.000000," ","integrate(ln(a*tanh(x)),x)","\int \log{\left(a \tanh{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tanh(x)), x)","F",0
209,0,0,0,0.000000," ","integrate(ln(a*tanh(x)**2),x)","\int \log{\left(a \tanh^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tanh(x)**2), x)","F",0
210,0,0,0,0.000000," ","integrate(ln(a*tanh(x)**n),x)","\int \log{\left(a \tanh^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*tanh(x)**n), x)","F",0
211,0,0,0,0.000000," ","integrate(ln(coth(x)),x)","\int \log{\left(\coth{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(coth(x)), x)","F",0
212,0,0,0,0.000000," ","integrate(ln(a*coth(x)),x)","\int \log{\left(a \coth{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*coth(x)), x)","F",0
213,0,0,0,0.000000," ","integrate(ln(a*coth(x)**2),x)","\int \log{\left(a \coth^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*coth(x)**2), x)","F",0
214,0,0,0,0.000000," ","integrate(ln(a*coth(x)**n),x)","\int \log{\left(a \coth^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*coth(x)**n), x)","F",0
215,0,0,0,0.000000," ","integrate(ln(a*sech(x)),x)","\int \log{\left(a \operatorname{sech}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sech(x)), x)","F",0
216,0,0,0,0.000000," ","integrate(ln(a*sech(x)**2),x)","\int \log{\left(a \operatorname{sech}^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sech(x)**2), x)","F",0
217,0,0,0,0.000000," ","integrate(ln(a*sech(x)**n),x)","\int \log{\left(a \operatorname{sech}^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*sech(x)**n), x)","F",0
218,0,0,0,0.000000," ","integrate(ln(a*csch(x)),x)","\int \log{\left(a \operatorname{csch}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csch(x)), x)","F",0
219,0,0,0,0.000000," ","integrate(ln(a*csch(x)**2),x)","\int \log{\left(a \operatorname{csch}^{2}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csch(x)**2), x)","F",0
220,0,0,0,0.000000," ","integrate(ln(a*csch(x)**n),x)","\int \log{\left(a \operatorname{csch}^{n}{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(a*csch(x)**n), x)","F",0
221,0,0,0,0.000000," ","integrate(cosh(b*x+a)*ln(cosh(1/2*a+1/2*b*x)*sinh(1/2*a+1/2*b*x)),x)","\int \log{\left(\sinh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \cosh{\left(\frac{a}{2} + \frac{b x}{2} \right)} \right)} \cosh{\left(a + b x \right)}\, dx"," ",0,"Integral(log(sinh(a/2 + b*x/2)*cosh(a/2 + b*x/2))*cosh(a + b*x), x)","F",0
222,1,14,0,0.907597," ","integrate(ln(cosh(x)**2)*sinh(x),x)","2 \log{\left(\cosh{\left(x \right)} \right)} \cosh{\left(x \right)} - 2 \cosh{\left(x \right)}"," ",0,"2*log(cosh(x))*cosh(x) - 2*cosh(x)","A",0
223,1,60,0,1.739207," ","integrate(ln(x)/x**(1/2),x)","\begin{cases} 2 \sqrt{x} \log{\left(x \right)} - 4 \sqrt{x} & \text{for}\: \left|{x}\right| < 1 \\- 2 \sqrt{x} \log{\left(\frac{1}{x} \right)} - 4 \sqrt{x} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- {G_{3, 3}^{2, 1}\left(\begin{matrix} 1 & \frac{3}{2}, \frac{3}{2} \\\frac{1}{2}, \frac{1}{2} & 0 \end{matrix} \middle| {x} \right)} + {G_{3, 3}^{0, 3}\left(\begin{matrix} \frac{3}{2}, \frac{3}{2}, 1 &  \\ & \frac{1}{2}, \frac{1}{2}, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x)*log(x) - 4*sqrt(x), Abs(x) < 1), (-2*sqrt(x)*log(1/x) - 4*sqrt(x), 1/Abs(x) < 1), (-meijerg(((1,), (3/2, 3/2)), ((1/2, 1/2), (0,)), x) + meijerg(((3/2, 3/2, 1), ()), ((), (1/2, 1/2, 0)), x), True))","A",0
224,1,27,0,0.129821," ","integrate(x*ln(-3*x**2+2),x)","\frac{x^{2} \log{\left(2 - 3 x^{2} \right)}}{2} - \frac{x^{2}}{2} - \frac{\log{\left(3 x^{2} - 2 \right)}}{3}"," ",0,"x**2*log(2 - 3*x**2)/2 - x**2/2 - log(3*x**2 - 2)/3","A",0
225,0,0,0,0.000000," ","integrate(1/x/(1-ln(x)**2)**(1/2),x)","\int \frac{1}{x \sqrt{- \left(\log{\left(x \right)} - 1\right) \left(\log{\left(x \right)} + 1\right)}}\, dx"," ",0,"Integral(1/(x*sqrt(-(log(x) - 1)*(log(x) + 1))), x)","F",0
226,1,22,0,0.106797," ","integrate(16*x**3*ln(x)**2,x)","4 x^{4} \log{\left(x \right)}^{2} - 2 x^{4} \log{\left(x \right)} + \frac{x^{4}}{2}"," ",0,"4*x**4*log(x)**2 - 2*x**4*log(x) + x**4/2","A",0
227,1,29,0,0.158193," ","integrate(1/2*ln(b*x+a),x)","- b \left(- \frac{a \log{\left(a + b x \right)}}{2 b^{2}} + \frac{x}{2 b}\right) + \frac{x \log{\left(a + b x \right)}}{2}"," ",0,"-b*(-a*log(a + b*x)/(2*b**2) + x/(2*b)) + x*log(a + b*x)/2","A",0
228,1,22,0,0.112559," ","integrate(1/2*x*ln(2+x),x)","\frac{x^{2} \log{\left(x + 2 \right)}}{4} - \frac{x^{2}}{8} + \frac{x}{2} - \log{\left(x + 2 \right)}"," ",0,"x**2*log(x + 2)/4 - x**2/8 + x/2 - log(x + 2)","A",0
229,1,27,0,0.115230," ","integrate(1/3*x*ln(1+3*x),x)","\frac{x^{2} \log{\left(3 x + 1 \right)}}{6} - \frac{x^{2}}{12} + \frac{x}{18} - \frac{\log{\left(3 x + 1 \right)}}{54}"," ",0,"x**2*log(3*x + 1)/6 - x**2/12 + x/18 - log(3*x + 1)/54","A",0
230,1,26,0,0.142884," ","integrate(x*ln(x**3+x),x)","\frac{x^{2} \log{\left(x^{3} + x \right)}}{2} - \frac{3 x^{2}}{4} + \frac{\log{\left(x^{2} + 1 \right)}}{2}"," ",0,"x**2*log(x**3 + x)/2 - 3*x**2/4 + log(x**2 + 1)/2","A",0
231,1,20,0,7.480963," ","integrate(ln(x+(x**2+1)**(1/2)),x)","x \log{\left(x + \sqrt{x^{2} + 1} \right)} - \sqrt{x^{2} + 1}"," ",0,"x*log(x + sqrt(x**2 + 1)) - sqrt(x**2 + 1)","A",0
232,1,20,0,5.783679," ","integrate(ln(x+(x**2-1)**(1/2)),x)","x \log{\left(x + \sqrt{x^{2} - 1} \right)} - \sqrt{x^{2} - 1}"," ",0,"x*log(x + sqrt(x**2 - 1)) - sqrt(x**2 - 1)","A",0
233,1,20,0,6.923522," ","integrate(ln(x-(x**2-1)**(1/2)),x)","x \log{\left(x - \sqrt{x^{2} - 1} \right)} + \sqrt{x^{2} - 1}"," ",0,"x*log(x - sqrt(x**2 - 1)) + sqrt(x**2 - 1)","A",0
234,0,0,0,0.000000," ","integrate(ln(x**(1/2)+(1+x)**(1/2)),x)","\int \log{\left(\sqrt{x} + \sqrt{x + 1} \right)}\, dx"," ",0,"Integral(log(sqrt(x) + sqrt(x + 1)), x)","F",0
235,1,66,0,2.609953," ","integrate(x**(1/3)*ln(x),x)","\begin{cases} \frac{3 x^{\frac{4}{3}} \log{\left(x \right)}}{4} - \frac{9 x^{\frac{4}{3}}}{16} & \text{for}\: \left|{x}\right| < 1 \\- \frac{3 x^{\frac{4}{3}} \log{\left(\frac{1}{x} \right)}}{4} - \frac{9 x^{\frac{4}{3}}}{16} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- {G_{3, 3}^{2, 1}\left(\begin{matrix} 1 & \frac{7}{3}, \frac{7}{3} \\\frac{4}{3}, \frac{4}{3} & 0 \end{matrix} \middle| {x} \right)} + {G_{3, 3}^{0, 3}\left(\begin{matrix} \frac{7}{3}, \frac{7}{3}, 1 &  \\ & \frac{4}{3}, \frac{4}{3}, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*x**(4/3)*log(x)/4 - 9*x**(4/3)/16, Abs(x) < 1), (-3*x**(4/3)*log(1/x)/4 - 9*x**(4/3)/16, 1/Abs(x) < 1), (-meijerg(((1,), (7/3, 7/3)), ((4/3, 4/3), (0,)), x) + meijerg(((7/3, 7/3, 1), ()), ((), (4/3, 4/3, 0)), x), True))","A",0
236,1,10,0,0.391127," ","integrate(2**ln(x),x)","\frac{2^{\log{\left(x \right)}} x}{\log{\left(2 \right)} + 1}"," ",0,"2**log(x)*x/(log(2) + 1)","A",0
237,1,3,0,0.092248," ","integrate((1-ln(x))/x**2,x)","\frac{\log{\left(x \right)}}{x}"," ",0,"log(x)/x","A",0
238,1,184,0,0.887553," ","integrate(ln(1+x+(1+x)**(1/2)),x)","\frac{x \sqrt{x + 1} \log{\left(x + \sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} - \frac{x \sqrt{x + 1}}{\sqrt{x + 1} + 1} + \frac{x \log{\left(x + \sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} - \frac{\sqrt{x + 1} \log{\left(\sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} + \frac{\sqrt{x + 1} \log{\left(x + \sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} - \frac{\sqrt{x + 1}}{\sqrt{x + 1} + 1} - \frac{\log{\left(\sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} + \frac{\log{\left(x + \sqrt{x + 1} + 1 \right)}}{\sqrt{x + 1} + 1} - \frac{1}{\sqrt{x + 1} + 1}"," ",0,"x*sqrt(x + 1)*log(x + sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) - x*sqrt(x + 1)/(sqrt(x + 1) + 1) + x*log(x + sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) - sqrt(x + 1)*log(sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) + sqrt(x + 1)*log(x + sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) - sqrt(x + 1)/(sqrt(x + 1) + 1) - log(sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) + log(x + sqrt(x + 1) + 1)/(sqrt(x + 1) + 1) - 1/(sqrt(x + 1) + 1)","B",0
239,1,15,0,0.141410," ","integrate(ln(x**3+x),x)","x \log{\left(x^{3} + x \right)} - 3 x + 2 \operatorname{atan}{\left(x \right)}"," ",0,"x*log(x**3 + x) - 3*x + 2*atan(x)","A",0
240,1,34,0,0.486135," ","integrate(2**ln(-8+7*x),x)","\frac{7 \cdot 2^{\log{\left(7 x - 8 \right)}} x}{7 \log{\left(2 \right)} + 7} - \frac{8 \cdot 2^{\log{\left(7 x - 8 \right)}}}{7 \log{\left(2 \right)} + 7}"," ",0,"7*2**log(7*x - 8)*x/(7*log(2) + 7) - 8*2**log(7*x - 8)/(7*log(2) + 7)","B",0
241,1,32,0,0.167729," ","integrate(ln((-11+5*x)/(5+76*x)),x)","x \log{\left(\frac{5 x - 11}{76 x + 5} \right)} - \frac{11 \log{\left(x - \frac{11}{5} \right)}}{5} - \frac{5 \log{\left(x + \frac{5}{76} \right)}}{76}"," ",0,"x*log((5*x - 11)/(76*x + 5)) - 11*log(x - 11/5)/5 - 5*log(x + 5/76)/76","A",0
242,1,15,0,0.106252," ","integrate(ln(1/(13+x)),x)","x \log{\left(\frac{1}{x + 13} \right)} + x - 13 \log{\left(x + 13 \right)}"," ",0,"x*log(1/(x + 13)) + x - 13*log(x + 13)","A",0
243,1,27,0,0.145674," ","integrate(x*ln((1+x)/x**2),x)","\frac{x^{2} \log{\left(\frac{x + 1}{x^{2}} \right)}}{2} + \frac{x^{2}}{4} + \frac{x}{2} - \frac{\log{\left(x + 1 \right)}}{2}"," ",0,"x**2*log((x + 1)/x**2)/2 + x**2/4 + x/2 - log(x + 1)/2","A",0
244,1,48,0,0.167993," ","integrate(x**3*ln((7+5*x)/x**2),x)","\frac{x^{4} \log{\left(\frac{5 x + 7}{x^{2}} \right)}}{4} + \frac{x^{4}}{16} + \frac{7 x^{3}}{60} - \frac{49 x^{2}}{200} + \frac{343 x}{500} - \frac{2401 \log{\left(5 x + 7 \right)}}{2500}"," ",0,"x**4*log((5*x + 7)/x**2)/4 + x**4/16 + 7*x**3/60 - 49*x**2/200 + 343*x/500 - 2401*log(5*x + 7)/2500","A",0
245,1,41,0,0.191536," ","integrate((b*x+a)*ln(b*x+a),x)","\frac{a^{2} \log{\left(a + b x \right)}}{2 b} - \frac{a x}{2} - \frac{b x^{2}}{4} + \left(a x + \frac{b x^{2}}{2}\right) \log{\left(a + b x \right)}"," ",0,"a**2*log(a + b*x)/(2*b) - a*x/2 - b*x**2/4 + (a*x + b*x**2/2)*log(a + b*x)","A",0
246,1,63,0,0.227100," ","integrate((b*x+a)**2*ln(b*x+a),x)","\frac{a^{3} \log{\left(a + b x \right)}}{3 b} - \frac{a^{2} x}{3} - \frac{a b x^{2}}{3} - \frac{b^{2} x^{3}}{9} + \left(a^{2} x + a b x^{2} + \frac{b^{2} x^{3}}{3}\right) \log{\left(a + b x \right)}"," ",0,"a**3*log(a + b*x)/(3*b) - a**2*x/3 - a*b*x**2/3 - b**2*x**3/9 + (a**2*x + a*b*x**2 + b**2*x**3/3)*log(a + b*x)","B",0
247,1,10,0,0.258074," ","integrate(ln(b*x+a)/(b*x+a),x)","\frac{\log{\left(a + b x \right)}^{2}}{2 b}"," ",0,"log(a + b*x)**2/(2*b)","A",0
248,1,26,0,0.198577," ","integrate(ln(b*x+a)/(b*x+a)**2,x)","- \frac{\log{\left(a + b x \right)}}{a b + b^{2} x} - \frac{1}{a b + b^{2} x}"," ",0,"-log(a + b*x)/(a*b + b**2*x) - 1/(a*b + b**2*x)","A",0
249,1,185,0,1.469660," ","integrate((b*x+a)**n*ln(b*x+a),x)","\begin{cases} \frac{x \log{\left(a \right)}}{a} & \text{for}\: b = 0 \wedge n = -1 \\a^{n} x \log{\left(a \right)} & \text{for}\: b = 0 \\\frac{\log{\left(a + b x \right)}^{2}}{2 b} & \text{for}\: n = -1 \\\frac{a n \left(a + b x\right)^{n} \log{\left(a + b x \right)}}{b n^{2} + 2 b n + b} + \frac{a \left(a + b x\right)^{n} \log{\left(a + b x \right)}}{b n^{2} + 2 b n + b} - \frac{a \left(a + b x\right)^{n}}{b n^{2} + 2 b n + b} + \frac{b n x \left(a + b x\right)^{n} \log{\left(a + b x \right)}}{b n^{2} + 2 b n + b} + \frac{b x \left(a + b x\right)^{n} \log{\left(a + b x \right)}}{b n^{2} + 2 b n + b} - \frac{b x \left(a + b x\right)^{n}}{b n^{2} + 2 b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*log(a)/a, Eq(b, 0) & Eq(n, -1)), (a**n*x*log(a), Eq(b, 0)), (log(a + b*x)**2/(2*b), Eq(n, -1)), (a*n*(a + b*x)**n*log(a + b*x)/(b*n**2 + 2*b*n + b) + a*(a + b*x)**n*log(a + b*x)/(b*n**2 + 2*b*n + b) - a*(a + b*x)**n/(b*n**2 + 2*b*n + b) + b*n*x*(a + b*x)**n*log(a + b*x)/(b*n**2 + 2*b*n + b) + b*x*(a + b*x)**n*log(a + b*x)/(b*n**2 + 2*b*n + b) - b*x*(a + b*x)**n/(b*n**2 + 2*b*n + b), True))","A",0
250,1,34,0,1.148829," ","integrate(1/(a*x+b*x*ln(c*x**n)),x)","\begin{cases} \frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b \log{\left(c \right)}} & \text{for}\: n = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{\log{\left(\frac{a}{b} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)/a, Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b*log(c)), Eq(n, 0)), (log(x)/a, Eq(b, 0)), (log(a/b + n*log(x) + log(c))/(b*n), True))","A",0
251,1,126,0,5.978212," ","integrate(1/(a*x+b*x*ln(c*x**n)**2),x)","\begin{cases} \frac{\tilde{\infty} \log{\left(x \right)}}{\log{\left(c \right)}^{2}} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b \log{\left(c \right)}^{2}} & \text{for}\: n = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{1}{b \left(n^{2} \log{\left(x \right)} + n \log{\left(c \right)}\right)} & \text{for}\: a = 0 \\- \frac{i \log{\left(- i \sqrt{a} \sqrt{\frac{1}{b}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{2 \sqrt{a} b n \sqrt{\frac{1}{b}}} + \frac{i \log{\left(i \sqrt{a} \sqrt{\frac{1}{b}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{2 \sqrt{a} b n \sqrt{\frac{1}{b}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x)/log(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b*log(c)**2), Eq(n, 0)), (log(x)/a, Eq(b, 0)), (-1/(b*(n**2*log(x) + n*log(c))), Eq(a, 0)), (-I*log(-I*sqrt(a)*sqrt(1/b) + n*log(x) + log(c))/(2*sqrt(a)*b*n*sqrt(1/b)) + I*log(I*sqrt(a)*sqrt(1/b) + n*log(x) + log(c))/(2*sqrt(a)*b*n*sqrt(1/b)), True))","A",0
252,1,330,0,52.756472," ","integrate(1/(a*x+b*x*ln(c*x**n)**3),x)","\begin{cases} \frac{\tilde{\infty} \log{\left(x \right)}}{\log{\left(c \right)}^{3}} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b \log{\left(c \right)}^{3}} & \text{for}\: n = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{1}{b \left(2 n^{3} \log{\left(x \right)}^{2} + 4 n^{2} \log{\left(c \right)} \log{\left(x \right)} + 2 n \log{\left(c \right)}^{2}\right)} & \text{for}\: a = 0 \\- \frac{\sqrt[3]{-1} \sqrt[3]{\frac{1}{b}} \log{\left(- \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{3 a^{\frac{2}{3}} n} + \frac{\sqrt[3]{-1} \sqrt[3]{\frac{1}{b}} \log{\left(4 \left(-1\right)^{\frac{2}{3}} a^{\frac{2}{3}} \left(\frac{1}{b}\right)^{\frac{2}{3}} + 4 \sqrt[3]{-1} \sqrt[3]{a} n \sqrt[3]{\frac{1}{b}} \log{\left(x \right)} + 4 \sqrt[3]{-1} \sqrt[3]{a} \sqrt[3]{\frac{1}{b}} \log{\left(c \right)} + 4 n^{2} \log{\left(x \right)}^{2} + 8 n \log{\left(c \right)} \log{\left(x \right)} + 4 \log{\left(c \right)}^{2} \right)}}{6 a^{\frac{2}{3}} n} - \frac{\sqrt[3]{-1} \sqrt{3} \sqrt[3]{\frac{1}{b}} \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{2}{3}} \sqrt{3} n \log{\left(x \right)}}{3 \sqrt[3]{a} \sqrt[3]{\frac{1}{b}}} + \frac{2 \left(-1\right)^{\frac{2}{3}} \sqrt{3} \log{\left(c \right)}}{3 \sqrt[3]{a} \sqrt[3]{\frac{1}{b}}} \right)}}{3 a^{\frac{2}{3}} n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x)/log(c)**3, Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b*log(c)**3), Eq(n, 0)), (log(x)/a, Eq(b, 0)), (-1/(b*(2*n**3*log(x)**2 + 4*n**2*log(c)*log(x) + 2*n*log(c)**2)), Eq(a, 0)), (-(-1)**(1/3)*(1/b)**(1/3)*log(-(-1)**(1/3)*a**(1/3)*(1/b)**(1/3) + n*log(x) + log(c))/(3*a**(2/3)*n) + (-1)**(1/3)*(1/b)**(1/3)*log(4*(-1)**(2/3)*a**(2/3)*(1/b)**(2/3) + 4*(-1)**(1/3)*a**(1/3)*n*(1/b)**(1/3)*log(x) + 4*(-1)**(1/3)*a**(1/3)*(1/b)**(1/3)*log(c) + 4*n**2*log(x)**2 + 8*n*log(c)*log(x) + 4*log(c)**2)/(6*a**(2/3)*n) - (-1)**(1/3)*sqrt(3)*(1/b)**(1/3)*atan(-sqrt(3)/3 + 2*(-1)**(2/3)*sqrt(3)*n*log(x)/(3*a**(1/3)*(1/b)**(1/3)) + 2*(-1)**(2/3)*sqrt(3)*log(c)/(3*a**(1/3)*(1/b)**(1/3)))/(3*a**(2/3)*n), True))","A",0
253,1,246,0,36.005996," ","integrate(1/(a*x+b*x*ln(c*x**n)**4),x)","\begin{cases} \frac{\tilde{\infty} \log{\left(x \right)}}{\log{\left(c \right)}^{4}} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(x \right)}}{a + b \log{\left(c \right)}^{4}} & \text{for}\: n = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\- \frac{1}{b \left(3 n^{4} \log{\left(x \right)}^{3} + 9 n^{3} \log{\left(c \right)} \log{\left(x \right)}^{2} + 9 n^{2} \log{\left(c \right)}^{2} \log{\left(x \right)} + 3 n \log{\left(c \right)}^{3}\right)} & \text{for}\: a = 0 \\- \frac{\sqrt[4]{-1} \sqrt[4]{\frac{1}{b}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{a} \sqrt[4]{\frac{1}{b}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{4 a^{\frac{3}{4}} n} + \frac{\sqrt[4]{-1} \sqrt[4]{\frac{1}{b}} \log{\left(\sqrt[4]{-1} \sqrt[4]{a} \sqrt[4]{\frac{1}{b}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{4 a^{\frac{3}{4}} n} - \frac{\sqrt[4]{-1} \sqrt[4]{\frac{1}{b}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} n \log{\left(x \right)}}{\sqrt[4]{a} \sqrt[4]{\frac{1}{b}}} + \frac{\left(-1\right)^{\frac{3}{4}} \log{\left(c \right)}}{\sqrt[4]{a} \sqrt[4]{\frac{1}{b}}} \right)}}{2 a^{\frac{3}{4}} n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(x)/log(c)**4, Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(x)/(a + b*log(c)**4), Eq(n, 0)), (log(x)/a, Eq(b, 0)), (-1/(b*(3*n**4*log(x)**3 + 9*n**3*log(c)*log(x)**2 + 9*n**2*log(c)**2*log(x) + 3*n*log(c)**3)), Eq(a, 0)), (-(-1)**(1/4)*(1/b)**(1/4)*log(-(-1)**(1/4)*a**(1/4)*(1/b)**(1/4) + n*log(x) + log(c))/(4*a**(3/4)*n) + (-1)**(1/4)*(1/b)**(1/4)*log((-1)**(1/4)*a**(1/4)*(1/b)**(1/4) + n*log(x) + log(c))/(4*a**(3/4)*n) - (-1)**(1/4)*(1/b)**(1/4)*atan((-1)**(3/4)*n*log(x)/(a**(1/4)*(1/b)**(1/4)) + (-1)**(3/4)*log(c)/(a**(1/4)*(1/b)**(1/4)))/(2*a**(3/4)*n), True))","A",0
254,1,99,0,2.702519," ","integrate(1/(a*x+b*x/ln(c*x**n)),x)","\begin{cases} \frac{\log{\left(c \right)} \log{\left(x \right)}}{b} & \text{for}\: a = 0 \wedge n = 0 \\\frac{\log{\left(c \right)} \log{\left(x \right)}}{a \log{\left(c \right)} + b} & \text{for}\: n = 0 \\\frac{\begin{cases} \frac{\log{\left(c x^{n} \right)}^{2}}{2 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{2}}{2 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{{G_{3, 3}^{3, 0}\left(\begin{matrix}  & 1, 1, 1 \\0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{{G_{3, 3}^{0, 3}\left(\begin{matrix} 1, 1, 1 &  \\ & 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}}{b} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a} - \frac{b \log{\left(n \log{\left(x \right)} + \log{\left(c \right)} + \frac{b}{a} \right)}}{a^{2} n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(c)*log(x)/b, Eq(a, 0) & Eq(n, 0)), (log(c)*log(x)/(a*log(c) + b), Eq(n, 0)), (Piecewise((log(c*x**n)**2/(2*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**2/(2*n), 1/Abs(c*x**n) < 1), (meijerg(((), (1, 1, 1)), ((0, 0, 0), ()), c*x**n)/n + meijerg(((1, 1, 1), ()), ((), (0, 0, 0)), c*x**n)/n, True))/b, Eq(a, 0)), (log(x)/a - b*log(n*log(x) + log(c) + b/a)/(a**2*n), True))","A",0
255,1,177,0,7.892699," ","integrate(1/(a*x+b*x/ln(c*x**n)**2),x)","\begin{cases} \frac{\log{\left(c \right)}^{2} \log{\left(x \right)}}{b} & \text{for}\: a = 0 \wedge n = 0 \\\frac{\log{\left(c \right)}^{2} \log{\left(x \right)}}{a \log{\left(c \right)}^{2} + b} & \text{for}\: n = 0 \\\frac{\begin{cases} \frac{\log{\left(c x^{n} \right)}^{3}}{3 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\- \frac{\log{\left(\frac{x^{- n}}{c} \right)}^{3}}{3 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\- \frac{2 {G_{4, 4}^{4, 0}\left(\begin{matrix}  & 1, 1, 1, 1 \\0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{2 {G_{4, 4}^{0, 4}\left(\begin{matrix} 1, 1, 1, 1 &  \\ & 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}}{b} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a} + \frac{i \sqrt{b} \log{\left(- i \sqrt{b} \sqrt{\frac{1}{a}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{2 a^{2} n \sqrt{\frac{1}{a}}} - \frac{i \sqrt{b} \log{\left(i \sqrt{b} \sqrt{\frac{1}{a}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{2 a^{2} n \sqrt{\frac{1}{a}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(c)**2*log(x)/b, Eq(a, 0) & Eq(n, 0)), (log(c)**2*log(x)/(a*log(c)**2 + b), Eq(n, 0)), (Piecewise((log(c*x**n)**3/(3*n), Abs(c*x**n) < 1), (-log(x**(-n)/c)**3/(3*n), 1/Abs(c*x**n) < 1), (-2*meijerg(((), (1, 1, 1, 1)), ((0, 0, 0, 0), ()), c*x**n)/n + 2*meijerg(((1, 1, 1, 1), ()), ((), (0, 0, 0, 0)), c*x**n)/n, True))/b, Eq(a, 0)), (log(x)/a + I*sqrt(b)*log(-I*sqrt(b)*sqrt(1/a) + n*log(x) + log(c))/(2*a**2*n*sqrt(1/a)) - I*sqrt(b)*log(I*sqrt(b)*sqrt(1/a) + n*log(x) + log(c))/(2*a**2*n*sqrt(1/a)), True))","A",0
256,1,367,0,54.105294," ","integrate(1/(a*x+b*x/ln(c*x**n)**3),x)","\begin{cases} \tilde{\infty} \log{\left(c \right)}^{3} \log{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(c \right)}^{3} \log{\left(x \right)}}{a \log{\left(c \right)}^{3} + b} & \text{for}\: n = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{\begin{cases} \frac{\log{\left(c x^{n} \right)}^{4}}{4 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\\frac{\log{\left(\frac{x^{- n}}{c} \right)}^{4}}{4 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\\frac{6 {G_{5, 5}^{5, 0}\left(\begin{matrix}  & 1, 1, 1, 1, 1 \\0, 0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{6 {G_{5, 5}^{0, 5}\left(\begin{matrix} 1, 1, 1, 1, 1 &  \\ & 0, 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}}{b} & \text{for}\: a = 0 \\\frac{\sqrt[3]{-1} \sqrt[3]{b} \sqrt[3]{\frac{1}{a}} \log{\left(- \sqrt[3]{-1} \sqrt[3]{b} \sqrt[3]{\frac{1}{a}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{3 a n} - \frac{\sqrt[3]{-1} \sqrt[3]{b} \sqrt[3]{\frac{1}{a}} \log{\left(4 \left(-1\right)^{\frac{2}{3}} b^{\frac{2}{3}} \left(\frac{1}{a}\right)^{\frac{2}{3}} + 4 \sqrt[3]{-1} \sqrt[3]{b} n \sqrt[3]{\frac{1}{a}} \log{\left(x \right)} + 4 \sqrt[3]{-1} \sqrt[3]{b} \sqrt[3]{\frac{1}{a}} \log{\left(c \right)} + 4 n^{2} \log{\left(x \right)}^{2} + 8 n \log{\left(c \right)} \log{\left(x \right)} + 4 \log{\left(c \right)}^{2} \right)}}{6 a n} + \frac{\sqrt[3]{-1} \sqrt{3} \sqrt[3]{b} \sqrt[3]{\frac{1}{a}} \operatorname{atan}{\left(- \frac{\sqrt{3}}{3} + \frac{2 \left(-1\right)^{\frac{2}{3}} \sqrt{3} n \log{\left(x \right)}}{3 \sqrt[3]{b} \sqrt[3]{\frac{1}{a}}} + \frac{2 \left(-1\right)^{\frac{2}{3}} \sqrt{3} \log{\left(c \right)}}{3 \sqrt[3]{b} \sqrt[3]{\frac{1}{a}}} \right)}}{3 a n} + \frac{\log{\left(x \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(c)**3*log(x), Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(c)**3*log(x)/(a*log(c)**3 + b), Eq(n, 0)), (log(x)/a, Eq(b, 0)), (Piecewise((log(c*x**n)**4/(4*n), Abs(c*x**n) < 1), (log(x**(-n)/c)**4/(4*n), 1/Abs(c*x**n) < 1), (6*meijerg(((), (1, 1, 1, 1, 1)), ((0, 0, 0, 0, 0), ()), c*x**n)/n + 6*meijerg(((1, 1, 1, 1, 1), ()), ((), (0, 0, 0, 0, 0)), c*x**n)/n, True))/b, Eq(a, 0)), ((-1)**(1/3)*b**(1/3)*(1/a)**(1/3)*log(-(-1)**(1/3)*b**(1/3)*(1/a)**(1/3) + n*log(x) + log(c))/(3*a*n) - (-1)**(1/3)*b**(1/3)*(1/a)**(1/3)*log(4*(-1)**(2/3)*b**(2/3)*(1/a)**(2/3) + 4*(-1)**(1/3)*b**(1/3)*n*(1/a)**(1/3)*log(x) + 4*(-1)**(1/3)*b**(1/3)*(1/a)**(1/3)*log(c) + 4*n**2*log(x)**2 + 8*n*log(c)*log(x) + 4*log(c)**2)/(6*a*n) + (-1)**(1/3)*sqrt(3)*b**(1/3)*(1/a)**(1/3)*atan(-sqrt(3)/3 + 2*(-1)**(2/3)*sqrt(3)*n*log(x)/(3*b**(1/3)*(1/a)**(1/3)) + 2*(-1)**(2/3)*sqrt(3)*log(c)/(3*b**(1/3)*(1/a)**(1/3)))/(3*a*n) + log(x)/a, True))","A",0
257,1,270,0,36.989081," ","integrate(1/(a*x+b*x/ln(c*x**n)**4),x)","\begin{cases} \tilde{\infty} \log{\left(c \right)}^{4} \log{\left(x \right)} & \text{for}\: a = 0 \wedge b = 0 \wedge n = 0 \\\frac{\log{\left(c \right)}^{4} \log{\left(x \right)}}{a \log{\left(c \right)}^{4} + b} & \text{for}\: n = 0 \\\frac{\begin{cases} \frac{\log{\left(c x^{n} \right)}^{5}}{5 n} & \text{for}\: \left|{c x^{n}}\right| < 1 \\- \frac{\log{\left(\frac{x^{- n}}{c} \right)}^{5}}{5 n} & \text{for}\: \frac{1}{\left|{c x^{n}}\right|} < 1 \\- \frac{24 {G_{6, 6}^{6, 0}\left(\begin{matrix}  & 1, 1, 1, 1, 1, 1 \\0, 0, 0, 0, 0, 0 &  \end{matrix} \middle| {c x^{n}} \right)}}{n} + \frac{24 {G_{6, 6}^{0, 6}\left(\begin{matrix} 1, 1, 1, 1, 1, 1 &  \\ & 0, 0, 0, 0, 0, 0 \end{matrix} \middle| {c x^{n}} \right)}}{n} & \text{otherwise} \end{cases}}{b} & \text{for}\: a = 0 \\\frac{\log{\left(x \right)}}{a} & \text{for}\: b = 0 \\\frac{\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{a}} \log{\left(- \sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{a}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{4 a n} - \frac{\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{a}} \log{\left(\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{a}} + n \log{\left(x \right)} + \log{\left(c \right)} \right)}}{4 a n} + \frac{\sqrt[4]{-1} \sqrt[4]{b} \sqrt[4]{\frac{1}{a}} \operatorname{atan}{\left(\frac{\left(-1\right)^{\frac{3}{4}} n \log{\left(x \right)}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{a}}} + \frac{\left(-1\right)^{\frac{3}{4}} \log{\left(c \right)}}{\sqrt[4]{b} \sqrt[4]{\frac{1}{a}}} \right)}}{2 a n} + \frac{\log{\left(x \right)}}{a} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*log(c)**4*log(x), Eq(a, 0) & Eq(b, 0) & Eq(n, 0)), (log(c)**4*log(x)/(a*log(c)**4 + b), Eq(n, 0)), (Piecewise((log(c*x**n)**5/(5*n), Abs(c*x**n) < 1), (-log(x**(-n)/c)**5/(5*n), 1/Abs(c*x**n) < 1), (-24*meijerg(((), (1, 1, 1, 1, 1, 1)), ((0, 0, 0, 0, 0, 0), ()), c*x**n)/n + 24*meijerg(((1, 1, 1, 1, 1, 1), ()), ((), (0, 0, 0, 0, 0, 0)), c*x**n)/n, True))/b, Eq(a, 0)), (log(x)/a, Eq(b, 0)), ((-1)**(1/4)*b**(1/4)*(1/a)**(1/4)*log(-(-1)**(1/4)*b**(1/4)*(1/a)**(1/4) + n*log(x) + log(c))/(4*a*n) - (-1)**(1/4)*b**(1/4)*(1/a)**(1/4)*log((-1)**(1/4)*b**(1/4)*(1/a)**(1/4) + n*log(x) + log(c))/(4*a*n) + (-1)**(1/4)*b**(1/4)*(1/a)**(1/4)*atan((-1)**(3/4)*n*log(x)/(b**(1/4)*(1/a)**(1/4)) + (-1)**(3/4)*log(c)/(b**(1/4)*(1/a)**(1/4)))/(2*a*n) + log(x)/a, True))","A",0
258,1,22,0,0.171895," ","integrate(1/(x+x*ln(7*x)+x*ln(7*x)**2),x)","\operatorname{RootSum} {\left(3 z^{2} + 1, \left( i \mapsto i \log{\left(\frac{3 i}{2} + \log{\left(7 x \right)} + \frac{1}{2} \right)} \right)\right)}"," ",0,"RootSum(3*_z**2 + 1, Lambda(_i, _i*log(3*_i/2 + log(7*x) + 1/2)))","A",0
259,1,22,0,0.184383," ","integrate((-1+ln(3*x))/x/(1-ln(3*x)+ln(3*x)**2),x)","\operatorname{RootSum} {\left(3 z^{2} - 3 z + 1, \left( i \mapsto i \log{\left(- 3 i + \log{\left(3 x \right)} + 1 \right)} \right)\right)}"," ",0,"RootSum(3*_z**2 - 3*_z + 1, Lambda(_i, _i*log(-3*_i + log(3*x) + 1)))","A",0
260,1,22,0,0.194355," ","integrate((-1+ln(3*x)**2)/(x+x*ln(3*x)**3),x)","\operatorname{RootSum} {\left(3 z^{2} - 3 z + 1, \left( i \mapsto i \log{\left(- 3 i + \log{\left(3 x \right)} + 1 \right)} \right)\right)}"," ",0,"RootSum(3*_z**2 - 3*_z + 1, Lambda(_i, _i*log(-3*_i + log(3*x) + 1)))","A",0
261,1,19,0,0.184615," ","integrate((-1+ln(3*x)**2)/(x+x*ln(3*x)+x*ln(3*x)**2),x)","\log{\left(x \right)} + \operatorname{RootSum} {\left(z^{2} + z + 1, \left( i \mapsto i \log{\left(- i + \log{\left(3 x \right)} \right)} \right)\right)}"," ",0,"log(x) + RootSum(_z**2 + _z + 1, Lambda(_i, _i*log(-_i + log(3*x))))","A",0
262,1,27,0,0.129071," ","integrate(ln(1/x)**2/x**5,x)","- \frac{\log{\left(\frac{1}{x} \right)}^{2}}{4 x^{4}} + \frac{\log{\left(\frac{1}{x} \right)}}{8 x^{4}} - \frac{1}{32 x^{4}}"," ",0,"-log(1/x)**2/(4*x**4) + log(1/x)/(8*x**4) - 1/(32*x**4)","A",0
263,0,0,0,0.000000," ","integrate(1/(-ln(a*x**2))**(1/2),x)","\int \frac{1}{\sqrt{- \log{\left(a x^{2} \right)}}}\, dx"," ",0,"Integral(1/sqrt(-log(a*x**2)), x)","F",0
264,0,0,0,0.000000," ","integrate(1/(-ln(a/x**2))**(1/2),x)","\int \frac{1}{\sqrt{- \log{\left(\frac{a}{x^{2}} \right)}}}\, dx"," ",0,"Integral(1/sqrt(-log(a/x**2)), x)","F",0
265,0,0,0,0.000000," ","integrate(1/(-ln(a*x**n))**(1/2),x)","\int \frac{1}{\sqrt{- \log{\left(a x^{n} \right)}}}\, dx"," ",0,"Integral(1/sqrt(-log(a*x**n)), x)","F",0
266,0,0,0,0.000000," ","integrate(ln(1-x+x**(1/2))/x,x)","\int \frac{\log{\left(\sqrt{x} - x + 1 \right)}}{x}\, dx"," ",0,"Integral(log(sqrt(x) - x + 1)/x, x)","F",0
267,0,0,0,0.000000," ","integrate(x*ln(d*x+c)/(b*x+a),x)","\int \frac{x \log{\left(c + d x \right)}}{a + b x}\, dx"," ",0,"Integral(x*log(c + d*x)/(a + b*x), x)","F",0
268,1,10,0,1.723972," ","integrate(ln(x)/(-1+x),x)","- \operatorname{Li}_{2}\left(\left(x - 1\right) e^{i \pi}\right)"," ",0,"-polylog(2, (x - 1)*exp_polar(I*pi))","C",0
269,0,0,0,0.000000," ","integrate(x*ln(-b*x-a+1)/(b*x+a),x)","\int \frac{x \log{\left(- a - b x + 1 \right)}}{a + b x}\, dx"," ",0,"Integral(x*log(-a - b*x + 1)/(a + b*x), x)","F",0
270,1,192,0,117.575724," ","integrate((2*c*x+b)*ln(x)/x/(c*x+b),x)","b \left(\begin{cases} - \frac{1}{c x} & \text{for}\: b = 0 \\\frac{\begin{cases} \log{\left(c \right)} \log{\left(x \right)} + \operatorname{Li}_{2}\left(\frac{b e^{i \pi}}{c x}\right) & \text{for}\: \left|{x}\right| < 1 \\- \log{\left(c \right)} \log{\left(\frac{1}{x} \right)} + \operatorname{Li}_{2}\left(\frac{b e^{i \pi}}{c x}\right) & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} \log{\left(c \right)} + {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} \log{\left(c \right)} + \operatorname{Li}_{2}\left(\frac{b e^{i \pi}}{c x}\right) & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) - b \left(\begin{cases} \frac{1}{c x} & \text{for}\: b = 0 \\\frac{\log{\left(\frac{b}{x} + c \right)}}{b} & \text{otherwise} \end{cases}\right) \log{\left(x \right)} - 2 c \left(\begin{cases} \frac{x}{b} & \text{for}\: c = 0 \\\frac{\begin{cases} \log{\left(b \right)} \log{\left(x \right)} - \operatorname{Li}_{2}\left(\frac{c x e^{i \pi}}{b}\right) & \text{for}\: \left|{x}\right| < 1 \\- \log{\left(b \right)} \log{\left(\frac{1}{x} \right)} - \operatorname{Li}_{2}\left(\frac{c x e^{i \pi}}{b}\right) & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} \log{\left(b \right)} + {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} \log{\left(b \right)} - \operatorname{Li}_{2}\left(\frac{c x e^{i \pi}}{b}\right) & \text{otherwise} \end{cases}}{c} & \text{otherwise} \end{cases}\right) + 2 c \left(\begin{cases} \frac{x}{b} & \text{for}\: c = 0 \\\frac{\log{\left(b + c x \right)}}{c} & \text{otherwise} \end{cases}\right) \log{\left(x \right)}"," ",0,"b*Piecewise((-1/(c*x), Eq(b, 0)), (Piecewise((log(c)*log(x) + polylog(2, b*exp_polar(I*pi)/(c*x)), Abs(x) < 1), (-log(c)*log(1/x) + polylog(2, b*exp_polar(I*pi)/(c*x)), 1/Abs(x) < 1), (-meijerg(((), (1, 1)), ((0, 0), ()), x)*log(c) + meijerg(((1, 1), ()), ((), (0, 0)), x)*log(c) + polylog(2, b*exp_polar(I*pi)/(c*x)), True))/b, True)) - b*Piecewise((1/(c*x), Eq(b, 0)), (log(b/x + c)/b, True))*log(x) - 2*c*Piecewise((x/b, Eq(c, 0)), (Piecewise((log(b)*log(x) - polylog(2, c*x*exp_polar(I*pi)/b), Abs(x) < 1), (-log(b)*log(1/x) - polylog(2, c*x*exp_polar(I*pi)/b), 1/Abs(x) < 1), (-meijerg(((), (1, 1)), ((0, 0), ()), x)*log(b) + meijerg(((1, 1), ()), ((), (0, 0)), x)*log(b) - polylog(2, c*x*exp_polar(I*pi)/b), True))/c, True)) + 2*c*Piecewise((x/b, Eq(c, 0)), (log(b + c*x)/c, True))*log(x)","C",0
271,0,0,0,0.000000," ","integrate(sin(x*ln(x))+ln(x)*sin(x*ln(x)),x)","\int \left(\log{\left(x \right)} + 1\right) \sin{\left(x \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((log(x) + 1)*sin(x*log(x)), x)","F",0
272,1,46,0,0.249028," ","integrate(ln((1-(-1+x)**2)/(1+(-1+x)**2))/x**2,x)","\frac{\log{\left(x^{2} - 2 x \right)}}{2} - \frac{\log{\left(x^{2} - 2 x + 2 \right)}}{2} - \operatorname{atan}{\left(x - 1 \right)} - \frac{\log{\left(\frac{1 - \left(x - 1\right)^{2}}{\left(x - 1\right)^{2} + 1} \right)}}{x} - \frac{1}{x}"," ",0,"log(x**2 - 2*x)/2 - log(x**2 - 2*x + 2)/2 - atan(x - 1) - log((1 - (x - 1)**2)/((x - 1)**2 + 1))/x - 1/x","A",0
273,1,24,0,7.629901," ","integrate(ln(x+x**(1/2)),x)","\sqrt{x} + x \log{\left(\sqrt{x} + x \right)} - x - \log{\left(\sqrt{x} + 1 \right)}"," ",0,"sqrt(x) + x*log(sqrt(x) + x) - x - log(sqrt(x) + 1)","A",0
274,1,14,0,0.107893," ","integrate(ln(-x/(1+x)),x)","x \log{\left(- \frac{x}{x + 1} \right)} - \log{\left(x + 1 \right)}"," ",0,"x*log(-x/(x + 1)) - log(x + 1)","A",0
275,1,15,0,0.121325," ","integrate(ln((-1+x)/(1+x)),x)","x \log{\left(\frac{x - 1}{x + 1} \right)} - \log{\left(x^{2} - 1 \right)}"," ",0,"x*log((x - 1)/(x + 1)) - log(x**2 - 1)","A",0
276,1,41,0,0.200329," ","integrate(ln((-x**2+1)/(x**2+1))/(1+x)**2,x)","\frac{\log{\left(x^{2} - 1 \right)}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{2} - \operatorname{atan}{\left(x \right)} - \frac{4}{4 x + 4} - \frac{\log{\left(\frac{1 - x^{2}}{x^{2} + 1} \right)}}{x + 1}"," ",0,"log(x**2 - 1)/2 - log(x**2 + 1)/2 - atan(x) - 4/(4*x + 4) - log((1 - x**2)/(x**2 + 1))/(x + 1)","A",0
277,0,0,0,0.000000," ","integrate(ln(c*(x**2+1)**n)/(x**2+1),x)","\int \frac{\log{\left(c \left(x^{2} + 1\right)^{n} \right)}}{x^{2} + 1}\, dx"," ",0,"Integral(log(c*(x**2 + 1)**n)/(x**2 + 1), x)","F",0
278,0,0,0,0.000000," ","integrate(ln(x**2/(x**2+1))/(x**2+1),x)","\int \frac{\log{\left(\frac{x^{2}}{x^{2} + 1} \right)}}{x^{2} + 1}\, dx"," ",0,"Integral(log(x**2/(x**2 + 1))/(x**2 + 1), x)","F",0
279,0,0,0,0.000000," ","integrate(ln(c*x**2/(b*x**2+a))/(b*x**2+a),x)","\int \frac{\log{\left(\frac{c x^{2}}{a + b x^{2}} \right)}}{a + b x^{2}}\, dx"," ",0,"Integral(log(c*x**2/(a + b*x**2))/(a + b*x**2), x)","F",0
280,-1,0,0,0.000000," ","integrate(ln(1+I*(-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,-1,0,0,0.000000," ","integrate(ln(1-I*(-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,1,8,0,0.079375," ","integrate(ln(exp(b*x+a)),x)","a x + \frac{b x^{2}}{2}"," ",0,"a*x + b*x**2/2","A",0
283,1,34,0,2.550133," ","integrate(ln(exp(a+b*x**n)),x)","\begin{cases} \frac{a n x}{n + 1} + \frac{a x}{n + 1} + \frac{b x x^{n}}{n + 1} & \text{for}\: n \neq -1 \\a x + b \log{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*n*x/(n + 1) + a*x/(n + 1) + b*x*x**n/(n + 1), Ne(n, -1)), (a*x + b*log(x), True))","A",0
284,-1,0,0,0.000000," ","integrate(exp(x)*ln(a+b*exp(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
285,1,26,0,7.375869," ","integrate(exp(b*x+a)*ln(x),x)","\left(\begin{cases} x & \text{for}\: b = 0 \\\frac{e^{b x}}{b} & \text{otherwise} \end{cases}\right) e^{a} \log{\left(x \right)} - \left(\begin{cases} x & \text{for}\: b = 0 \\\frac{\operatorname{Ei}{\left(b x \right)}}{b} & \text{otherwise} \end{cases}\right) e^{a}"," ",0,"Piecewise((x, Eq(b, 0)), (exp(b*x)/b, True))*exp(a)*log(x) - Piecewise((x, Eq(b, 0)), (Ei(b*x)/b, True))*exp(a)","A",0
286,0,0,0,0.000000," ","integrate(x**2/(x+ln(x)),x)","\int \frac{x^{2}}{x + \log{\left(x \right)}}\, dx"," ",0,"Integral(x**2/(x + log(x)), x)","F",0
287,0,0,0,0.000000," ","integrate(x/(x+ln(x)),x)","\int \frac{x}{x + \log{\left(x \right)}}\, dx"," ",0,"Integral(x/(x + log(x)), x)","F",0
288,0,0,0,0.000000," ","integrate(1/(x+ln(x)),x)","\int \frac{1}{x + \log{\left(x \right)}}\, dx"," ",0,"Integral(1/(x + log(x)), x)","F",0
289,0,0,0,0.000000," ","integrate(1/x/(x+ln(x)),x)","\int \frac{1}{x \left(x + \log{\left(x \right)}\right)}\, dx"," ",0,"Integral(1/(x*(x + log(x))), x)","F",0
290,0,0,0,0.000000," ","integrate(1/x**2/(x+ln(x)),x)","\int \frac{1}{x^{2} \left(x + \log{\left(x \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(x + log(x))), x)","F",0
291,1,10,0,0.118275," ","integrate(ln(x)/(x+4*x*ln(x)**2),x)","\frac{\log{\left(\log{\left(x \right)}^{2} + \frac{1}{4} \right)}}{8}"," ",0,"log(log(x)**2 + 1/4)/8","A",0
292,1,8,0,0.140643," ","integrate((1-ln(x))/x/(x+ln(x)),x)","- \log{\left(x \right)} + \log{\left(x + \log{\left(x \right)} \right)}"," ",0,"-log(x) + log(x + log(x))","A",0
293,1,15,0,4.295146," ","integrate((1+x)/ln(x)/(x+ln(x)),x)","- \log{\left(x + \log{\left(x \right)} \right)} + \log{\left(\log{\left(x \right)} \right)} + \operatorname{Ei}{\left(\log{\left(x \right)} \right)}"," ",0,"-log(x + log(x)) + log(log(x)) + Ei(log(x))","A",0
294,1,53,0,40.983532," ","integrate(ln(2+((1+x)/x)**(1/2)),x)","x \log{\left(\sqrt{\frac{x + 1}{x}} + 2 \right)} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} - 1 \right)}}{6} + \frac{\log{\left(\sqrt{1 + \frac{1}{x}} + 1 \right)}}{2} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} + 2 \right)}}{3}"," ",0,"x*log(sqrt((x + 1)/x) + 2) - log(sqrt(1 + 1/x) - 1)/6 + log(sqrt(1 + 1/x) + 1)/2 - log(sqrt(1 + 1/x) + 2)/3","A",0
295,1,53,0,45.787993," ","integrate(ln(1+((1+x)/x)**(1/2)),x)","x \log{\left(\sqrt{\frac{x + 1}{x}} + 1 \right)} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} - 1 \right)}}{4} + \frac{\log{\left(\sqrt{1 + \frac{1}{x}} + 1 \right)}}{4} - \frac{1}{2 \left(\sqrt{1 + \frac{1}{x}} + 1\right)}"," ",0,"x*log(sqrt((x + 1)/x) + 1) - log(sqrt(1 + 1/x) - 1)/4 + log(sqrt(1 + 1/x) + 1)/4 - 1/(2*(sqrt(1 + 1/x) + 1))","A",0
296,1,17,0,0.111176," ","integrate(1/2*ln((1+x)/x),x)","\frac{x \log{\left(\frac{x + 1}{x} \right)}}{2} + \frac{\log{\left(2 x + 2 \right)}}{2}"," ",0,"x*log((x + 1)/x)/2 + log(2*x + 2)/2","A",0
297,1,53,0,46.257190," ","integrate(ln(-1+((1+x)/x)**(1/2)),x)","x \log{\left(\sqrt{\frac{x + 1}{x}} - 1 \right)} + \frac{\log{\left(\sqrt{1 + \frac{1}{x}} - 1 \right)}}{4} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} + 1 \right)}}{4} + \frac{1}{2 \left(\sqrt{1 + \frac{1}{x}} - 1\right)}"," ",0,"x*log(sqrt((x + 1)/x) - 1) + log(sqrt(1 + 1/x) - 1)/4 - log(sqrt(1 + 1/x) + 1)/4 + 1/(2*(sqrt(1 + 1/x) - 1))","A",0
298,1,53,0,41.295177," ","integrate(ln(-2+((1+x)/x)**(1/2)),x)","x \log{\left(\sqrt{\frac{x + 1}{x}} - 2 \right)} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} - 2 \right)}}{3} + \frac{\log{\left(\sqrt{1 + \frac{1}{x}} - 1 \right)}}{2} - \frac{\log{\left(\sqrt{1 + \frac{1}{x}} + 1 \right)}}{6}"," ",0,"x*log(sqrt((x + 1)/x) - 2) - log(sqrt(1 + 1/x) - 2)/3 + log(sqrt(1 + 1/x) - 1)/2 - log(sqrt(1 + 1/x) + 1)/6","A",0
299,1,10,0,0.262735," ","integrate(x**(a*x)+x**(a*x)*ln(x),x)","\begin{cases} \frac{x^{a x}}{a} & \text{for}\: a \neq 0 \\x \log{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**(a*x)/a, Ne(a, 0)), (x*log(x), True))","A",0
300,0,0,0,0.000000," ","integrate((ln(x)**m)**p,x)","\int \left(\log{\left(x \right)}^{m}\right)^{p}\, dx"," ",0,"Integral((log(x)**m)**p, x)","F",0
301,0,0,0,0.000000," ","integrate(ln(x)/(a+b*ln(x))**(1/2),x)","\int \frac{\log{\left(x \right)}}{\sqrt{a + b \log{\left(x \right)}}}\, dx"," ",0,"Integral(log(x)/sqrt(a + b*log(x)), x)","F",0
302,0,0,0,0.000000," ","integrate(ln(x)/(a-b*ln(x))**(1/2),x)","\int \frac{\log{\left(x \right)}}{\sqrt{a - b \log{\left(x \right)}}}\, dx"," ",0,"Integral(log(x)/sqrt(a - b*log(x)), x)","F",0
303,0,0,0,0.000000," ","integrate((A+B*ln(x))/(a+b*ln(x))**(1/2),x)","\int \frac{A + B \log{\left(x \right)}}{\sqrt{a + b \log{\left(x \right)}}}\, dx"," ",0,"Integral((A + B*log(x))/sqrt(a + b*log(x)), x)","F",0
304,0,0,0,0.000000," ","integrate((A+B*ln(x))/(a-b*ln(x))**(1/2),x)","\int \frac{A + B \log{\left(x \right)}}{\sqrt{a - b \log{\left(x \right)}}}\, dx"," ",0,"Integral((A + B*log(x))/sqrt(a - b*log(x)), x)","F",0
305,0,0,0,0.000000," ","integrate(x**2*ln(ln(x)*sin(x)),x)","\int x^{2} \log{\left(\log{\left(x \right)} \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(x**2*log(log(x)*sin(x)), x)","F",0
306,0,0,0,0.000000," ","integrate(x*ln(ln(x)*sin(x)),x)","\int x \log{\left(\log{\left(x \right)} \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*log(log(x)*sin(x)), x)","F",0
307,0,0,0,0.000000," ","integrate(ln(ln(x)*sin(x)),x)","\int \log{\left(\log{\left(x \right)} \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(log(x)*sin(x)), x)","F",0
308,0,0,0,0.000000," ","integrate(ln(ln(x)*sin(x))/x,x)","\int \frac{\log{\left(\log{\left(x \right)} \sin{\left(x \right)} \right)}}{x}\, dx"," ",0,"Integral(log(log(x)*sin(x))/x, x)","F",0
309,0,0,0,0.000000," ","integrate(ln(ln(x)*sin(x))/x**2,x)","\int \frac{\log{\left(\log{\left(x \right)} \sin{\left(x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(log(log(x)*sin(x))/x**2, x)","F",0
310,-1,0,0,0.000000," ","integrate(x**2*ln(exp(x)*ln(x)*sin(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
311,0,0,0,0.000000," ","integrate(x*ln(exp(x)*ln(x)*sin(x)),x)","\int x \log{\left(e^{x} \log{\left(x \right)} \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(x*log(exp(x)*log(x)*sin(x)), x)","F",0
312,0,0,0,0.000000," ","integrate(ln(exp(x)*ln(x)*sin(x)),x)","\int \log{\left(e^{x} \log{\left(x \right)} \sin{\left(x \right)} \right)}\, dx"," ",0,"Integral(log(exp(x)*log(x)*sin(x)), x)","F",0
313,0,0,0,0.000000," ","integrate(ln(exp(x)*ln(x)*sin(x))/x,x)","\int \frac{\log{\left(e^{x} \log{\left(x \right)} \sin{\left(x \right)} \right)}}{x}\, dx"," ",0,"Integral(log(exp(x)*log(x)*sin(x))/x, x)","F",0
314,0,0,0,0.000000," ","integrate(ln(exp(x)*ln(x)*sin(x))/x**2,x)","\int \frac{\log{\left(e^{x} \log{\left(x \right)} \sin{\left(x \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(log(exp(x)*log(x)*sin(x))/x**2, x)","F",0
