1,-2,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
2,-2,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
3,-2,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
4,-2,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
5,1,15,0,0.588144," ","integrate(log(c*x^n)^(-1+q)/x,x, algorithm=""maxima"")","\frac{\log\left(c x^{n}\right)^{q}}{n q}"," ",0,"log(c*x^n)^q/(n*q)","A",0
6,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""maxima"")","-a \int \frac{x^{m}}{a b x x^{m} \log\left(c\right) + a b x x^{m} \log\left(x^{n}\right) + {\left(b^{2} x \log\left(c\right) + b^{2} x \log\left(x^{n}\right)\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}\,{d x} + \frac{\log\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}{b n}"," ",0,"-a*integrate(x^m/(a*b*x*x^m*log(c) + a*b*x*x^m*log(x^n) + (b^2*x*log(c) + b^2*x*log(x^n))*(log(c) + log(x^n))^q), x) + log(log(c) + log(x^n))/(b*n)","F",0
7,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""maxima"")","\frac{1}{a b m x^{m} \log\left(x^{n}\right) - {\left(n q - m \log\left(c\right)\right)} a b x^{m} + {\left(b^{2} m \log\left(x^{n}\right) - {\left(n q - m \log\left(c\right)\right)} b^{2}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}} + \int -\frac{m n {\left(q - 1\right)} - m^{2} \log\left(c\right) - m^{2} \log\left(x^{n}\right)}{a b m^{2} x x^{m} \log\left(x^{n}\right)^{2} - 2 \, {\left(m n q - m^{2} \log\left(c\right)\right)} a b x x^{m} \log\left(x^{n}\right) + {\left(n^{2} q^{2} - 2 \, m n q \log\left(c\right) + m^{2} \log\left(c\right)^{2}\right)} a b x x^{m} + {\left(b^{2} m^{2} x \log\left(x^{n}\right)^{2} - 2 \, {\left(m n q - m^{2} \log\left(c\right)\right)} b^{2} x \log\left(x^{n}\right) + {\left(n^{2} q^{2} - 2 \, m n q \log\left(c\right) + m^{2} \log\left(c\right)^{2}\right)} b^{2} x\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}\,{d x}"," ",0,"1/(a*b*m*x^m*log(x^n) - (n*q - m*log(c))*a*b*x^m + (b^2*m*log(x^n) - (n*q - m*log(c))*b^2)*(log(c) + log(x^n))^q) + integrate(-(m*n*(q - 1) - m^2*log(c) - m^2*log(x^n))/(a*b*m^2*x*x^m*log(x^n)^2 - 2*(m*n*q - m^2*log(c))*a*b*x*x^m*log(x^n) + (n^2*q^2 - 2*m*n*q*log(c) + m^2*log(c)^2)*a*b*x*x^m + (b^2*m^2*x*log(x^n)^2 - 2*(m*n*q - m^2*log(c))*b^2*x*log(x^n) + (n^2*q^2 - 2*m*n*q*log(c) + m^2*log(c)^2)*b^2*x)*(log(c) + log(x^n))^q), x)","F",0
8,0,0,0,0.000000," ","integrate(log(c*x^n)^(-1+q)/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""maxima"")","-\frac{a m^{2} x^{m} \log\left(x^{n}\right)^{2} + {\left(2 \, m^{2} \log\left(c\right) + m n\right)} a x^{m} \log\left(x^{n}\right) - {\left(n^{2} q^{2} - m^{2} \log\left(c\right)^{2} - m n \log\left(c\right)\right)} a x^{m} + {\left(2 \, b m^{2} \log\left(x^{n}\right)^{2} - {\left(m n {\left(2 \, q - 1\right)} - 4 \, m^{2} \log\left(c\right)\right)} b \log\left(x^{n}\right) - {\left(m n {\left(2 \, q - 1\right)} \log\left(c\right) - 2 \, m^{2} \log\left(c\right)^{2}\right)} b\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}{2 \, {\left(a^{3} b m^{3} x^{3 \, m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a^{3} b x^{3 \, m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a^{3} b x^{3 \, m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a^{3} b x^{3 \, m} + {\left(a b^{3} m^{3} x^{m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a b^{3} x^{m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a b^{3} x^{m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a b^{3} x^{m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{2 \, q} + 2 \, {\left(a^{2} b^{2} m^{3} x^{2 \, m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a^{2} b^{2} x^{2 \, m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a^{2} b^{2} x^{2 \, m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a^{2} b^{2} x^{2 \, m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}\right)}} - \int -\frac{m^{3} n {\left(2 \, q - 3\right)} \log\left(c\right)^{2} - 2 \, m^{4} \log\left(c\right)^{3} - 2 \, m^{4} \log\left(x^{n}\right)^{3} + 2 \, {\left(q^{2} - 1\right)} m^{2} n^{2} \log\left(c\right) - {\left(2 \, q^{3} - 3 \, q^{2} + q\right)} m n^{3} + {\left(m^{3} n {\left(2 \, q - 3\right)} - 6 \, m^{4} \log\left(c\right)\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(m^{3} n {\left(2 \, q - 3\right)} \log\left(c\right) - 3 \, m^{4} \log\left(c\right)^{2} + {\left(q^{2} - 1\right)} m^{2} n^{2}\right)} \log\left(x^{n}\right)}{2 \, {\left(a^{2} b m^{4} x x^{2 \, m} \log\left(x^{n}\right)^{4} - 4 \, {\left(m^{3} n q - m^{4} \log\left(c\right)\right)} a^{2} b x x^{2 \, m} \log\left(x^{n}\right)^{3} + 6 \, {\left(m^{2} n^{2} q^{2} - 2 \, m^{3} n q \log\left(c\right) + m^{4} \log\left(c\right)^{2}\right)} a^{2} b x x^{2 \, m} \log\left(x^{n}\right)^{2} - 4 \, {\left(m n^{3} q^{3} - 3 \, m^{2} n^{2} q^{2} \log\left(c\right) + 3 \, m^{3} n q \log\left(c\right)^{2} - m^{4} \log\left(c\right)^{3}\right)} a^{2} b x x^{2 \, m} \log\left(x^{n}\right) + {\left(n^{4} q^{4} - 4 \, m n^{3} q^{3} \log\left(c\right) + 6 \, m^{2} n^{2} q^{2} \log\left(c\right)^{2} - 4 \, m^{3} n q \log\left(c\right)^{3} + m^{4} \log\left(c\right)^{4}\right)} a^{2} b x x^{2 \, m} + {\left(a b^{2} m^{4} x x^{m} \log\left(x^{n}\right)^{4} - 4 \, {\left(m^{3} n q - m^{4} \log\left(c\right)\right)} a b^{2} x x^{m} \log\left(x^{n}\right)^{3} + 6 \, {\left(m^{2} n^{2} q^{2} - 2 \, m^{3} n q \log\left(c\right) + m^{4} \log\left(c\right)^{2}\right)} a b^{2} x x^{m} \log\left(x^{n}\right)^{2} - 4 \, {\left(m n^{3} q^{3} - 3 \, m^{2} n^{2} q^{2} \log\left(c\right) + 3 \, m^{3} n q \log\left(c\right)^{2} - m^{4} \log\left(c\right)^{3}\right)} a b^{2} x x^{m} \log\left(x^{n}\right) + {\left(n^{4} q^{4} - 4 \, m n^{3} q^{3} \log\left(c\right) + 6 \, m^{2} n^{2} q^{2} \log\left(c\right)^{2} - 4 \, m^{3} n q \log\left(c\right)^{3} + m^{4} \log\left(c\right)^{4}\right)} a b^{2} x x^{m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}\right)}}\,{d x}"," ",0,"-1/2*(a*m^2*x^m*log(x^n)^2 + (2*m^2*log(c) + m*n)*a*x^m*log(x^n) - (n^2*q^2 - m^2*log(c)^2 - m*n*log(c))*a*x^m + (2*b*m^2*log(x^n)^2 - (m*n*(2*q - 1) - 4*m^2*log(c))*b*log(x^n) - (m*n*(2*q - 1)*log(c) - 2*m^2*log(c)^2)*b)*(log(c) + log(x^n))^q)/(a^3*b*m^3*x^(3*m)*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a^3*b*x^(3*m)*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a^3*b*x^(3*m)*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a^3*b*x^(3*m) + (a*b^3*m^3*x^m*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a*b^3*x^m*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a*b^3*x^m*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a*b^3*x^m)*(log(c) + log(x^n))^(2*q) + 2*(a^2*b^2*m^3*x^(2*m)*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a^2*b^2*x^(2*m)*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a^2*b^2*x^(2*m)*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a^2*b^2*x^(2*m))*(log(c) + log(x^n))^q) - integrate(-1/2*(m^3*n*(2*q - 3)*log(c)^2 - 2*m^4*log(c)^3 - 2*m^4*log(x^n)^3 + 2*(q^2 - 1)*m^2*n^2*log(c) - (2*q^3 - 3*q^2 + q)*m*n^3 + (m^3*n*(2*q - 3) - 6*m^4*log(c))*log(x^n)^2 + 2*(m^3*n*(2*q - 3)*log(c) - 3*m^4*log(c)^2 + (q^2 - 1)*m^2*n^2)*log(x^n))/(a^2*b*m^4*x*x^(2*m)*log(x^n)^4 - 4*(m^3*n*q - m^4*log(c))*a^2*b*x*x^(2*m)*log(x^n)^3 + 6*(m^2*n^2*q^2 - 2*m^3*n*q*log(c) + m^4*log(c)^2)*a^2*b*x*x^(2*m)*log(x^n)^2 - 4*(m*n^3*q^3 - 3*m^2*n^2*q^2*log(c) + 3*m^3*n*q*log(c)^2 - m^4*log(c)^3)*a^2*b*x*x^(2*m)*log(x^n) + (n^4*q^4 - 4*m*n^3*q^3*log(c) + 6*m^2*n^2*q^2*log(c)^2 - 4*m^3*n*q*log(c)^3 + m^4*log(c)^4)*a^2*b*x*x^(2*m) + (a*b^2*m^4*x*x^m*log(x^n)^4 - 4*(m^3*n*q - m^4*log(c))*a*b^2*x*x^m*log(x^n)^3 + 6*(m^2*n^2*q^2 - 2*m^3*n*q*log(c) + m^4*log(c)^2)*a*b^2*x*x^m*log(x^n)^2 - 4*(m*n^3*q^3 - 3*m^2*n^2*q^2*log(c) + 3*m^3*n*q*log(c)^2 - m^4*log(c)^3)*a*b^2*x*x^m*log(x^n) + (n^4*q^4 - 4*m*n^3*q^3*log(c) + 6*m^2*n^2*q^2*log(c)^2 - 4*m^3*n*q*log(c)^3 + m^4*log(c)^4)*a*b^2*x*x^m)*(log(c) + log(x^n))^q), x)","F",0
9,1,1115,0,0.939190," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^3/x,x, algorithm=""maxima"")","\frac{1}{84} \, {\left(\frac{12 \, b^{3} \log\left(c x^{n}\right)^{7}}{n} + \frac{252 \, a b^{2} x^{m} \log\left(c x^{n}\right)^{4}}{m} + \frac{126 \, a^{2} b x^{2 \, m} \log\left(c x^{n}\right)^{2}}{m} - 1008 \, {\left(\frac{n x^{m} \log\left(c x^{n}\right)^{3}}{m^{2}} - \frac{3 \, {\left(\frac{n x^{m} \log\left(c x^{n}\right)^{2}}{m^{2}} - \frac{2 \, n {\left(\frac{n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{n^{2} x^{m}}{m^{3}}\right)}}{m}\right)} n}{m}\right)} a b^{2} - 63 \, a^{2} b {\left(\frac{2 \, n x^{2 \, m} \log\left(c x^{n}\right)}{m^{2}} - \frac{n^{2} x^{2 \, m}}{m^{3}}\right)} + \frac{28 \, a^{3} x^{3 \, m}}{m}\right)} \log\left(c x^{n}\right) + \frac{9 \, b^{3} m^{6} n^{7} \log\left(x\right)^{8} - 72 \, b^{3} m^{6} n^{6} \log\left(c\right) \log\left(x\right)^{7} + 252 \, b^{3} m^{6} n^{5} \log\left(c\right)^{2} \log\left(x\right)^{6} - 504 \, b^{3} m^{6} n^{4} \log\left(c\right)^{3} \log\left(x\right)^{5} + 630 \, b^{3} m^{6} n^{3} \log\left(c\right)^{4} \log\left(x\right)^{4} - 504 \, b^{3} m^{6} n^{2} \log\left(c\right)^{5} \log\left(x\right)^{3} + 252 \, b^{3} m^{6} n \log\left(c\right)^{6} \log\left(x\right)^{2} - 72 \, b^{3} m^{6} \log\left(c\right)^{7} \log\left(x\right) - 72 \, b^{3} m^{6} \log\left(x\right) \log\left(x^{n}\right)^{7} - 56 \, a^{3} m^{4} n x^{3 \, m} + 252 \, {\left(b^{3} m^{6} n \log\left(x\right)^{2} - 2 \, b^{3} m^{6} \log\left(c\right) \log\left(x\right)\right)} \log\left(x^{n}\right)^{6} - 504 \, {\left(b^{3} m^{6} n^{2} \log\left(x\right)^{3} - 3 \, b^{3} m^{6} n \log\left(c\right) \log\left(x\right)^{2} + 3 \, b^{3} m^{6} \log\left(c\right)^{2} \log\left(x\right)\right)} \log\left(x^{n}\right)^{5} - 189 \, {\left(2 \, m^{4} n \log\left(c\right)^{2} - 4 \, m^{3} n^{2} \log\left(c\right) + 3 \, m^{2} n^{3}\right)} a^{2} b x^{2 \, m} - 1512 \, {\left(m^{4} n \log\left(c\right)^{4} - 8 \, m^{3} n^{2} \log\left(c\right)^{3} + 36 \, m^{2} n^{3} \log\left(c\right)^{2} - 96 \, m n^{4} \log\left(c\right) + 120 \, n^{5}\right)} a b^{2} x^{m} + 126 \, {\left(5 \, b^{3} m^{6} n^{3} \log\left(x\right)^{4} - 20 \, b^{3} m^{6} n^{2} \log\left(c\right) \log\left(x\right)^{3} + 30 \, b^{3} m^{6} n \log\left(c\right)^{2} \log\left(x\right)^{2} - 20 \, b^{3} m^{6} \log\left(c\right)^{3} \log\left(x\right) - 12 \, a b^{2} m^{4} n x^{m}\right)} \log\left(x^{n}\right)^{4} - 504 \, {\left(b^{3} m^{6} n^{4} \log\left(x\right)^{5} - 5 \, b^{3} m^{6} n^{3} \log\left(c\right) \log\left(x\right)^{4} + 10 \, b^{3} m^{6} n^{2} \log\left(c\right)^{2} \log\left(x\right)^{3} - 10 \, b^{3} m^{6} n \log\left(c\right)^{3} \log\left(x\right)^{2} + 5 \, b^{3} m^{6} \log\left(c\right)^{4} \log\left(x\right) + 12 \, {\left(m^{4} n \log\left(c\right) - 2 \, m^{3} n^{2}\right)} a b^{2} x^{m}\right)} \log\left(x^{n}\right)^{3} + 126 \, {\left(2 \, b^{3} m^{6} n^{5} \log\left(x\right)^{6} - 12 \, b^{3} m^{6} n^{4} \log\left(c\right) \log\left(x\right)^{5} + 30 \, b^{3} m^{6} n^{3} \log\left(c\right)^{2} \log\left(x\right)^{4} - 40 \, b^{3} m^{6} n^{2} \log\left(c\right)^{3} \log\left(x\right)^{3} + 30 \, b^{3} m^{6} n \log\left(c\right)^{4} \log\left(x\right)^{2} - 12 \, b^{3} m^{6} \log\left(c\right)^{5} \log\left(x\right) - 3 \, a^{2} b m^{4} n x^{2 \, m} - 72 \, {\left(m^{4} n \log\left(c\right)^{2} - 4 \, m^{3} n^{2} \log\left(c\right) + 6 \, m^{2} n^{3}\right)} a b^{2} x^{m}\right)} \log\left(x^{n}\right)^{2} - 36 \, {\left(2 \, b^{3} m^{6} n^{6} \log\left(x\right)^{7} - 14 \, b^{3} m^{6} n^{5} \log\left(c\right) \log\left(x\right)^{6} + 42 \, b^{3} m^{6} n^{4} \log\left(c\right)^{2} \log\left(x\right)^{5} - 70 \, b^{3} m^{6} n^{3} \log\left(c\right)^{3} \log\left(x\right)^{4} + 70 \, b^{3} m^{6} n^{2} \log\left(c\right)^{4} \log\left(x\right)^{3} - 42 \, b^{3} m^{6} n \log\left(c\right)^{5} \log\left(x\right)^{2} + 14 \, b^{3} m^{6} \log\left(c\right)^{6} \log\left(x\right) + 21 \, {\left(m^{4} n \log\left(c\right) - m^{3} n^{2}\right)} a^{2} b x^{2 \, m} + 168 \, {\left(m^{4} n \log\left(c\right)^{3} - 6 \, m^{3} n^{2} \log\left(c\right)^{2} + 18 \, m^{2} n^{3} \log\left(c\right) - 24 \, m n^{4}\right)} a b^{2} x^{m}\right)} \log\left(x^{n}\right)}{504 \, m^{6}}"," ",0,"1/84*(12*b^3*log(c*x^n)^7/n + 252*a*b^2*x^m*log(c*x^n)^4/m + 126*a^2*b*x^(2*m)*log(c*x^n)^2/m - 1008*(n*x^m*log(c*x^n)^3/m^2 - 3*(n*x^m*log(c*x^n)^2/m^2 - 2*n*(n*x^m*log(c*x^n)/m^2 - n^2*x^m/m^3)/m)*n/m)*a*b^2 - 63*a^2*b*(2*n*x^(2*m)*log(c*x^n)/m^2 - n^2*x^(2*m)/m^3) + 28*a^3*x^(3*m)/m)*log(c*x^n) + 1/504*(9*b^3*m^6*n^7*log(x)^8 - 72*b^3*m^6*n^6*log(c)*log(x)^7 + 252*b^3*m^6*n^5*log(c)^2*log(x)^6 - 504*b^3*m^6*n^4*log(c)^3*log(x)^5 + 630*b^3*m^6*n^3*log(c)^4*log(x)^4 - 504*b^3*m^6*n^2*log(c)^5*log(x)^3 + 252*b^3*m^6*n*log(c)^6*log(x)^2 - 72*b^3*m^6*log(c)^7*log(x) - 72*b^3*m^6*log(x)*log(x^n)^7 - 56*a^3*m^4*n*x^(3*m) + 252*(b^3*m^6*n*log(x)^2 - 2*b^3*m^6*log(c)*log(x))*log(x^n)^6 - 504*(b^3*m^6*n^2*log(x)^3 - 3*b^3*m^6*n*log(c)*log(x)^2 + 3*b^3*m^6*log(c)^2*log(x))*log(x^n)^5 - 189*(2*m^4*n*log(c)^2 - 4*m^3*n^2*log(c) + 3*m^2*n^3)*a^2*b*x^(2*m) - 1512*(m^4*n*log(c)^4 - 8*m^3*n^2*log(c)^3 + 36*m^2*n^3*log(c)^2 - 96*m*n^4*log(c) + 120*n^5)*a*b^2*x^m + 126*(5*b^3*m^6*n^3*log(x)^4 - 20*b^3*m^6*n^2*log(c)*log(x)^3 + 30*b^3*m^6*n*log(c)^2*log(x)^2 - 20*b^3*m^6*log(c)^3*log(x) - 12*a*b^2*m^4*n*x^m)*log(x^n)^4 - 504*(b^3*m^6*n^4*log(x)^5 - 5*b^3*m^6*n^3*log(c)*log(x)^4 + 10*b^3*m^6*n^2*log(c)^2*log(x)^3 - 10*b^3*m^6*n*log(c)^3*log(x)^2 + 5*b^3*m^6*log(c)^4*log(x) + 12*(m^4*n*log(c) - 2*m^3*n^2)*a*b^2*x^m)*log(x^n)^3 + 126*(2*b^3*m^6*n^5*log(x)^6 - 12*b^3*m^6*n^4*log(c)*log(x)^5 + 30*b^3*m^6*n^3*log(c)^2*log(x)^4 - 40*b^3*m^6*n^2*log(c)^3*log(x)^3 + 30*b^3*m^6*n*log(c)^4*log(x)^2 - 12*b^3*m^6*log(c)^5*log(x) - 3*a^2*b*m^4*n*x^(2*m) - 72*(m^4*n*log(c)^2 - 4*m^3*n^2*log(c) + 6*m^2*n^3)*a*b^2*x^m)*log(x^n)^2 - 36*(2*b^3*m^6*n^6*log(x)^7 - 14*b^3*m^6*n^5*log(c)*log(x)^6 + 42*b^3*m^6*n^4*log(c)^2*log(x)^5 - 70*b^3*m^6*n^3*log(c)^3*log(x)^4 + 70*b^3*m^6*n^2*log(c)^4*log(x)^3 - 42*b^3*m^6*n*log(c)^5*log(x)^2 + 14*b^3*m^6*log(c)^6*log(x) + 21*(m^4*n*log(c) - m^3*n^2)*a^2*b*x^(2*m) + 168*(m^4*n*log(c)^3 - 6*m^3*n^2*log(c)^2 + 18*m^2*n^3*log(c) - 24*m*n^4)*a*b^2*x^m)*log(x^n))/m^6","B",0
10,1,530,0,0.661186," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)^2/x,x, algorithm=""maxima"")","\frac{1}{10} \, {\left(\frac{2 \, b^{2} \log\left(c x^{n}\right)^{5}}{n} + \frac{20 \, a b x^{m} \log\left(c x^{n}\right)^{2}}{m} - 40 \, a b {\left(\frac{n x^{m} \log\left(c x^{n}\right)}{m^{2}} - \frac{n^{2} x^{m}}{m^{3}}\right)} + \frac{5 \, a^{2} x^{2 \, m}}{m}\right)} \log\left(c x^{n}\right) + \frac{2 \, b^{2} m^{4} n^{5} \log\left(x\right)^{6} - 12 \, b^{2} m^{4} n^{4} \log\left(c\right) \log\left(x\right)^{5} + 30 \, b^{2} m^{4} n^{3} \log\left(c\right)^{2} \log\left(x\right)^{4} - 40 \, b^{2} m^{4} n^{2} \log\left(c\right)^{3} \log\left(x\right)^{3} + 30 \, b^{2} m^{4} n \log\left(c\right)^{4} \log\left(x\right)^{2} - 12 \, b^{2} m^{4} \log\left(c\right)^{5} \log\left(x\right) - 12 \, b^{2} m^{4} \log\left(x\right) \log\left(x^{n}\right)^{5} - 15 \, a^{2} m^{2} n x^{2 \, m} + 30 \, {\left(b^{2} m^{4} n \log\left(x\right)^{2} - 2 \, b^{2} m^{4} \log\left(c\right) \log\left(x\right)\right)} \log\left(x^{n}\right)^{4} - 120 \, {\left(m^{2} n \log\left(c\right)^{2} - 4 \, m n^{2} \log\left(c\right) + 6 \, n^{3}\right)} a b x^{m} - 40 \, {\left(b^{2} m^{4} n^{2} \log\left(x\right)^{3} - 3 \, b^{2} m^{4} n \log\left(c\right) \log\left(x\right)^{2} + 3 \, b^{2} m^{4} \log\left(c\right)^{2} \log\left(x\right)\right)} \log\left(x^{n}\right)^{3} + 30 \, {\left(b^{2} m^{4} n^{3} \log\left(x\right)^{4} - 4 \, b^{2} m^{4} n^{2} \log\left(c\right) \log\left(x\right)^{3} + 6 \, b^{2} m^{4} n \log\left(c\right)^{2} \log\left(x\right)^{2} - 4 \, b^{2} m^{4} \log\left(c\right)^{3} \log\left(x\right) - 4 \, a b m^{2} n x^{m}\right)} \log\left(x^{n}\right)^{2} - 12 \, {\left(b^{2} m^{4} n^{4} \log\left(x\right)^{5} - 5 \, b^{2} m^{4} n^{3} \log\left(c\right) \log\left(x\right)^{4} + 10 \, b^{2} m^{4} n^{2} \log\left(c\right)^{2} \log\left(x\right)^{3} - 10 \, b^{2} m^{4} n \log\left(c\right)^{3} \log\left(x\right)^{2} + 5 \, b^{2} m^{4} \log\left(c\right)^{4} \log\left(x\right) + 20 \, {\left(m^{2} n \log\left(c\right) - 2 \, m n^{2}\right)} a b x^{m}\right)} \log\left(x^{n}\right)}{60 \, m^{4}}"," ",0,"1/10*(2*b^2*log(c*x^n)^5/n + 20*a*b*x^m*log(c*x^n)^2/m - 40*a*b*(n*x^m*log(c*x^n)/m^2 - n^2*x^m/m^3) + 5*a^2*x^(2*m)/m)*log(c*x^n) + 1/60*(2*b^2*m^4*n^5*log(x)^6 - 12*b^2*m^4*n^4*log(c)*log(x)^5 + 30*b^2*m^4*n^3*log(c)^2*log(x)^4 - 40*b^2*m^4*n^2*log(c)^3*log(x)^3 + 30*b^2*m^4*n*log(c)^4*log(x)^2 - 12*b^2*m^4*log(c)^5*log(x) - 12*b^2*m^4*log(x)*log(x^n)^5 - 15*a^2*m^2*n*x^(2*m) + 30*(b^2*m^4*n*log(x)^2 - 2*b^2*m^4*log(c)*log(x))*log(x^n)^4 - 120*(m^2*n*log(c)^2 - 4*m*n^2*log(c) + 6*n^3)*a*b*x^m - 40*(b^2*m^4*n^2*log(x)^3 - 3*b^2*m^4*n*log(c)*log(x)^2 + 3*b^2*m^4*log(c)^2*log(x))*log(x^n)^3 + 30*(b^2*m^4*n^3*log(x)^4 - 4*b^2*m^4*n^2*log(c)*log(x)^3 + 6*b^2*m^4*n*log(c)^2*log(x)^2 - 4*b^2*m^4*log(c)^3*log(x) - 4*a*b*m^2*n*x^m)*log(x^n)^2 - 12*(b^2*m^4*n^4*log(x)^5 - 5*b^2*m^4*n^3*log(c)*log(x)^4 + 10*b^2*m^4*n^2*log(c)^2*log(x)^3 - 10*b^2*m^4*n*log(c)^3*log(x)^2 + 5*b^2*m^4*log(c)^4*log(x) + 20*(m^2*n*log(c) - 2*m*n^2)*a*b*x^m)*log(x^n))/m^4","B",0
11,1,186,0,0.640195," ","integrate(log(c*x^n)*(a*x^m+b*log(c*x^n)^2)/x,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(\frac{b \log\left(c x^{n}\right)^{3}}{n} + \frac{3 \, a x^{m}}{m}\right)} \log\left(c x^{n}\right) + \frac{b m^{2} n^{3} \log\left(x\right)^{4} - 4 \, b m^{2} n^{2} \log\left(c\right) \log\left(x\right)^{3} + 6 \, b m^{2} n \log\left(c\right)^{2} \log\left(x\right)^{2} - 4 \, b m^{2} \log\left(c\right)^{3} \log\left(x\right) - 4 \, b m^{2} \log\left(x\right) \log\left(x^{n}\right)^{3} - 12 \, a n x^{m} + 6 \, {\left(b m^{2} n \log\left(x\right)^{2} - 2 \, b m^{2} \log\left(c\right) \log\left(x\right)\right)} \log\left(x^{n}\right)^{2} - 4 \, {\left(b m^{2} n^{2} \log\left(x\right)^{3} - 3 \, b m^{2} n \log\left(c\right) \log\left(x\right)^{2} + 3 \, b m^{2} \log\left(c\right)^{2} \log\left(x\right)\right)} \log\left(x^{n}\right)}{12 \, m^{2}}"," ",0,"1/3*(b*log(c*x^n)^3/n + 3*a*x^m/m)*log(c*x^n) + 1/12*(b*m^2*n^3*log(x)^4 - 4*b*m^2*n^2*log(c)*log(x)^3 + 6*b*m^2*n*log(c)^2*log(x)^2 - 4*b*m^2*log(c)^3*log(x) - 4*b*m^2*log(x)*log(x^n)^3 - 12*a*n*x^m + 6*(b*m^2*n*log(x)^2 - 2*b*m^2*log(c)*log(x))*log(x^n)^2 - 4*(b*m^2*n^2*log(x)^3 - 3*b*m^2*n*log(c)*log(x)^2 + 3*b*m^2*log(c)^2*log(x))*log(x^n))/m^2","B",0
12,1,13,0,0.733297," ","integrate(log(c*x^n)/x,x, algorithm=""maxima"")","\frac{\log\left(c x^{n}\right)^{2}}{2 \, n}"," ",0,"1/2*log(c*x^n)^2/n","A",0
13,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2),x, algorithm=""maxima"")","\int \frac{\log\left(c x^{n}\right)}{{\left(b \log\left(c x^{n}\right)^{2} + a x^{m}\right)} x}\,{d x}"," ",0,"integrate(log(c*x^n)/((b*log(c*x^n)^2 + a*x^m)*x), x)","F",0
14,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^2,x, algorithm=""maxima"")","-\frac{m \log\left(c\right) + m \log\left(x^{n}\right) + 2 \, n}{4 \, b^{2} n^{2} \log\left(c\right)^{2} + a^{2} m^{2} x^{2 \, m} + {\left(m^{2} \log\left(c\right)^{2} + 4 \, n^{2}\right)} a b x^{m} + {\left(a b m^{2} x^{m} + 4 \, b^{2} n^{2}\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(a b m^{2} x^{m} \log\left(c\right) + 4 \, b^{2} n^{2} \log\left(c\right)\right)} \log\left(x^{n}\right)} - \int \frac{a m^{4} x^{m} \log\left(x^{n}\right) + 4 \, b m n^{3} + {\left(m^{4} \log\left(c\right) + 3 \, m^{3} n\right)} a x^{m}}{16 \, b^{3} n^{4} x \log\left(c\right)^{2} + a^{3} m^{4} x x^{3 \, m} + {\left(m^{4} \log\left(c\right)^{2} + 8 \, m^{2} n^{2}\right)} a^{2} b x x^{2 \, m} + 8 \, {\left(m^{2} n^{2} \log\left(c\right)^{2} + 2 \, n^{4}\right)} a b^{2} x x^{m} + {\left(a^{2} b m^{4} x x^{2 \, m} + 8 \, a b^{2} m^{2} n^{2} x x^{m} + 16 \, b^{3} n^{4} x\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(a^{2} b m^{4} x x^{2 \, m} \log\left(c\right) + 8 \, a b^{2} m^{2} n^{2} x x^{m} \log\left(c\right) + 16 \, b^{3} n^{4} x \log\left(c\right)\right)} \log\left(x^{n}\right)}\,{d x}"," ",0,"-(m*log(c) + m*log(x^n) + 2*n)/(4*b^2*n^2*log(c)^2 + a^2*m^2*x^(2*m) + (m^2*log(c)^2 + 4*n^2)*a*b*x^m + (a*b*m^2*x^m + 4*b^2*n^2)*log(x^n)^2 + 2*(a*b*m^2*x^m*log(c) + 4*b^2*n^2*log(c))*log(x^n)) - integrate((a*m^4*x^m*log(x^n) + 4*b*m*n^3 + (m^4*log(c) + 3*m^3*n)*a*x^m)/(16*b^3*n^4*x*log(c)^2 + a^3*m^4*x*x^(3*m) + (m^4*log(c)^2 + 8*m^2*n^2)*a^2*b*x*x^(2*m) + 8*(m^2*n^2*log(c)^2 + 2*n^4)*a*b^2*x*x^m + (a^2*b*m^4*x*x^(2*m) + 8*a*b^2*m^2*n^2*x*x^m + 16*b^3*n^4*x)*log(x^n)^2 + 2*(a^2*b*m^4*x*x^(2*m)*log(c) + 8*a*b^2*m^2*n^2*x*x^m*log(c) + 16*b^3*n^4*x*log(c))*log(x^n)), x)","F",0
15,0,0,0,0.000000," ","integrate(log(c*x^n)/x/(a*x^m+b*log(c*x^n)^2)^3,x, algorithm=""maxima"")","-\frac{24 \, b^{3} m n^{4} \log\left(c\right)^{3} - 5 \, a^{3} m^{4} n x^{3 \, m} - {\left(m^{5} \log\left(c\right)^{3} + 7 \, m^{4} n \log\left(c\right)^{2} - 18 \, m^{3} n^{2} \log\left(c\right) - 4 \, m^{2} n^{3}\right)} a^{2} b x^{2 \, m} + 2 \, {\left(5 \, m^{3} n^{2} \log\left(c\right)^{3} - 6 \, m^{2} n^{3} \log\left(c\right)^{2} + 20 \, m n^{4} \log\left(c\right) + 16 \, n^{5}\right)} a b^{2} x^{m} - {\left(a^{2} b m^{5} x^{2 \, m} - 10 \, a b^{2} m^{3} n^{2} x^{m} - 24 \, b^{3} m n^{4}\right)} \log\left(x^{n}\right)^{3} + {\left(72 \, b^{3} m n^{4} \log\left(c\right) - {\left(3 \, m^{5} \log\left(c\right) + 7 \, m^{4} n\right)} a^{2} b x^{2 \, m} + 6 \, {\left(5 \, m^{3} n^{2} \log\left(c\right) - 2 \, m^{2} n^{3}\right)} a b^{2} x^{m}\right)} \log\left(x^{n}\right)^{2} + {\left(72 \, b^{3} m n^{4} \log\left(c\right)^{2} - {\left(3 \, m^{5} \log\left(c\right)^{2} + 14 \, m^{4} n \log\left(c\right) - 18 \, m^{3} n^{2}\right)} a^{2} b x^{2 \, m} + 2 \, {\left(15 \, m^{3} n^{2} \log\left(c\right)^{2} - 12 \, m^{2} n^{3} \log\left(c\right) + 20 \, m n^{4}\right)} a b^{2} x^{m}\right)} \log\left(x^{n}\right)}{2 \, {\left(64 \, a b^{5} n^{6} x^{m} \log\left(c\right)^{4} + a^{6} m^{6} x^{6 \, m} + 2 \, {\left(m^{6} \log\left(c\right)^{2} + 6 \, m^{4} n^{2}\right)} a^{5} b x^{5 \, m} + {\left(m^{6} \log\left(c\right)^{4} + 24 \, m^{4} n^{2} \log\left(c\right)^{2} + 48 \, m^{2} n^{4}\right)} a^{4} b^{2} x^{4 \, m} + 4 \, {\left(3 \, m^{4} n^{2} \log\left(c\right)^{4} + 24 \, m^{2} n^{4} \log\left(c\right)^{2} + 16 \, n^{6}\right)} a^{3} b^{3} x^{3 \, m} + 16 \, {\left(3 \, m^{2} n^{4} \log\left(c\right)^{4} + 8 \, n^{6} \log\left(c\right)^{2}\right)} a^{2} b^{4} x^{2 \, m} + {\left(a^{4} b^{2} m^{6} x^{4 \, m} + 12 \, a^{3} b^{3} m^{4} n^{2} x^{3 \, m} + 48 \, a^{2} b^{4} m^{2} n^{4} x^{2 \, m} + 64 \, a b^{5} n^{6} x^{m}\right)} \log\left(x^{n}\right)^{4} + 4 \, {\left(a^{4} b^{2} m^{6} x^{4 \, m} \log\left(c\right) + 12 \, a^{3} b^{3} m^{4} n^{2} x^{3 \, m} \log\left(c\right) + 48 \, a^{2} b^{4} m^{2} n^{4} x^{2 \, m} \log\left(c\right) + 64 \, a b^{5} n^{6} x^{m} \log\left(c\right)\right)} \log\left(x^{n}\right)^{3} + 2 \, {\left(192 \, a b^{5} n^{6} x^{m} \log\left(c\right)^{2} + a^{5} b m^{6} x^{5 \, m} + 3 \, {\left(m^{6} \log\left(c\right)^{2} + 4 \, m^{4} n^{2}\right)} a^{4} b^{2} x^{4 \, m} + 12 \, {\left(3 \, m^{4} n^{2} \log\left(c\right)^{2} + 4 \, m^{2} n^{4}\right)} a^{3} b^{3} x^{3 \, m} + 16 \, {\left(9 \, m^{2} n^{4} \log\left(c\right)^{2} + 4 \, n^{6}\right)} a^{2} b^{4} x^{2 \, m}\right)} \log\left(x^{n}\right)^{2} + 4 \, {\left(64 \, a b^{5} n^{6} x^{m} \log\left(c\right)^{3} + a^{5} b m^{6} x^{5 \, m} \log\left(c\right) + {\left(m^{6} \log\left(c\right)^{3} + 12 \, m^{4} n^{2} \log\left(c\right)\right)} a^{4} b^{2} x^{4 \, m} + 12 \, {\left(m^{4} n^{2} \log\left(c\right)^{3} + 4 \, m^{2} n^{4} \log\left(c\right)\right)} a^{3} b^{3} x^{3 \, m} + 16 \, {\left(3 \, m^{2} n^{4} \log\left(c\right)^{3} + 4 \, n^{6} \log\left(c\right)\right)} a^{2} b^{4} x^{2 \, m}\right)} \log\left(x^{n}\right)\right)}} + \int \frac{{\left(2 \, m^{8} \log\left(c\right) + 15 \, m^{7} n\right)} a^{3} x^{3 \, m} - 2 \, {\left(17 \, m^{6} n^{2} \log\left(c\right) - m^{5} n^{3}\right)} a^{2} b x^{2 \, m} - 32 \, {\left(3 \, m^{4} n^{4} \log\left(c\right) + 2 \, m^{3} n^{5}\right)} a b^{2} x^{m} - 96 \, {\left(m^{2} n^{6} \log\left(c\right) + m n^{7}\right)} b^{3} + 2 \, {\left(a^{3} m^{8} x^{3 \, m} - 17 \, a^{2} b m^{6} n^{2} x^{2 \, m} - 48 \, a b^{2} m^{4} n^{4} x^{m} - 48 \, b^{3} m^{2} n^{6}\right)} \log\left(x^{n}\right)}{2 \, {\left(256 \, a b^{5} n^{8} x x^{m} \log\left(c\right)^{2} + a^{6} m^{8} x x^{6 \, m} + {\left(m^{8} \log\left(c\right)^{2} + 16 \, m^{6} n^{2}\right)} a^{5} b x x^{5 \, m} + 16 \, {\left(m^{6} n^{2} \log\left(c\right)^{2} + 6 \, m^{4} n^{4}\right)} a^{4} b^{2} x x^{4 \, m} + 32 \, {\left(3 \, m^{4} n^{4} \log\left(c\right)^{2} + 8 \, m^{2} n^{6}\right)} a^{3} b^{3} x x^{3 \, m} + 256 \, {\left(m^{2} n^{6} \log\left(c\right)^{2} + n^{8}\right)} a^{2} b^{4} x x^{2 \, m} + {\left(a^{5} b m^{8} x x^{5 \, m} + 16 \, a^{4} b^{2} m^{6} n^{2} x x^{4 \, m} + 96 \, a^{3} b^{3} m^{4} n^{4} x x^{3 \, m} + 256 \, a^{2} b^{4} m^{2} n^{6} x x^{2 \, m} + 256 \, a b^{5} n^{8} x x^{m}\right)} \log\left(x^{n}\right)^{2} + 2 \, {\left(a^{5} b m^{8} x x^{5 \, m} \log\left(c\right) + 16 \, a^{4} b^{2} m^{6} n^{2} x x^{4 \, m} \log\left(c\right) + 96 \, a^{3} b^{3} m^{4} n^{4} x x^{3 \, m} \log\left(c\right) + 256 \, a^{2} b^{4} m^{2} n^{6} x x^{2 \, m} \log\left(c\right) + 256 \, a b^{5} n^{8} x x^{m} \log\left(c\right)\right)} \log\left(x^{n}\right)\right)}}\,{d x}"," ",0,"-1/2*(24*b^3*m*n^4*log(c)^3 - 5*a^3*m^4*n*x^(3*m) - (m^5*log(c)^3 + 7*m^4*n*log(c)^2 - 18*m^3*n^2*log(c) - 4*m^2*n^3)*a^2*b*x^(2*m) + 2*(5*m^3*n^2*log(c)^3 - 6*m^2*n^3*log(c)^2 + 20*m*n^4*log(c) + 16*n^5)*a*b^2*x^m - (a^2*b*m^5*x^(2*m) - 10*a*b^2*m^3*n^2*x^m - 24*b^3*m*n^4)*log(x^n)^3 + (72*b^3*m*n^4*log(c) - (3*m^5*log(c) + 7*m^4*n)*a^2*b*x^(2*m) + 6*(5*m^3*n^2*log(c) - 2*m^2*n^3)*a*b^2*x^m)*log(x^n)^2 + (72*b^3*m*n^4*log(c)^2 - (3*m^5*log(c)^2 + 14*m^4*n*log(c) - 18*m^3*n^2)*a^2*b*x^(2*m) + 2*(15*m^3*n^2*log(c)^2 - 12*m^2*n^3*log(c) + 20*m*n^4)*a*b^2*x^m)*log(x^n))/(64*a*b^5*n^6*x^m*log(c)^4 + a^6*m^6*x^(6*m) + 2*(m^6*log(c)^2 + 6*m^4*n^2)*a^5*b*x^(5*m) + (m^6*log(c)^4 + 24*m^4*n^2*log(c)^2 + 48*m^2*n^4)*a^4*b^2*x^(4*m) + 4*(3*m^4*n^2*log(c)^4 + 24*m^2*n^4*log(c)^2 + 16*n^6)*a^3*b^3*x^(3*m) + 16*(3*m^2*n^4*log(c)^4 + 8*n^6*log(c)^2)*a^2*b^4*x^(2*m) + (a^4*b^2*m^6*x^(4*m) + 12*a^3*b^3*m^4*n^2*x^(3*m) + 48*a^2*b^4*m^2*n^4*x^(2*m) + 64*a*b^5*n^6*x^m)*log(x^n)^4 + 4*(a^4*b^2*m^6*x^(4*m)*log(c) + 12*a^3*b^3*m^4*n^2*x^(3*m)*log(c) + 48*a^2*b^4*m^2*n^4*x^(2*m)*log(c) + 64*a*b^5*n^6*x^m*log(c))*log(x^n)^3 + 2*(192*a*b^5*n^6*x^m*log(c)^2 + a^5*b*m^6*x^(5*m) + 3*(m^6*log(c)^2 + 4*m^4*n^2)*a^4*b^2*x^(4*m) + 12*(3*m^4*n^2*log(c)^2 + 4*m^2*n^4)*a^3*b^3*x^(3*m) + 16*(9*m^2*n^4*log(c)^2 + 4*n^6)*a^2*b^4*x^(2*m))*log(x^n)^2 + 4*(64*a*b^5*n^6*x^m*log(c)^3 + a^5*b*m^6*x^(5*m)*log(c) + (m^6*log(c)^3 + 12*m^4*n^2*log(c))*a^4*b^2*x^(4*m) + 12*(m^4*n^2*log(c)^3 + 4*m^2*n^4*log(c))*a^3*b^3*x^(3*m) + 16*(3*m^2*n^4*log(c)^3 + 4*n^6*log(c))*a^2*b^4*x^(2*m))*log(x^n)) + integrate(1/2*((2*m^8*log(c) + 15*m^7*n)*a^3*x^(3*m) - 2*(17*m^6*n^2*log(c) - m^5*n^3)*a^2*b*x^(2*m) - 32*(3*m^4*n^4*log(c) + 2*m^3*n^5)*a*b^2*x^m - 96*(m^2*n^6*log(c) + m*n^7)*b^3 + 2*(a^3*m^8*x^(3*m) - 17*a^2*b*m^6*n^2*x^(2*m) - 48*a*b^2*m^4*n^4*x^m - 48*b^3*m^2*n^6)*log(x^n))/(256*a*b^5*n^8*x*x^m*log(c)^2 + a^6*m^8*x*x^(6*m) + (m^8*log(c)^2 + 16*m^6*n^2)*a^5*b*x*x^(5*m) + 16*(m^6*n^2*log(c)^2 + 6*m^4*n^4)*a^4*b^2*x*x^(4*m) + 32*(3*m^4*n^4*log(c)^2 + 8*m^2*n^6)*a^3*b^3*x*x^(3*m) + 256*(m^2*n^6*log(c)^2 + n^8)*a^2*b^4*x*x^(2*m) + (a^5*b*m^8*x*x^(5*m) + 16*a^4*b^2*m^6*n^2*x*x^(4*m) + 96*a^3*b^3*m^4*n^4*x*x^(3*m) + 256*a^2*b^4*m^2*n^6*x*x^(2*m) + 256*a*b^5*n^8*x*x^m)*log(x^n)^2 + 2*(a^5*b*m^8*x*x^(5*m)*log(c) + 16*a^4*b^2*m^6*n^2*x*x^(4*m)*log(c) + 96*a^3*b^3*m^4*n^4*x*x^(3*m)*log(c) + 256*a^2*b^4*m^2*n^6*x*x^(2*m)*log(c) + 256*a*b^5*n^8*x*x^m*log(c))*log(x^n)), x)","F",0
16,-2,0,0,0.000000," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
17,-2,0,0,0.000000," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
18,-2,0,0,0.000000," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
19,1,16,0,0.452753," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x,x, algorithm=""maxima"")","a x^{m} + b \log\left(c x^{n}\right)^{q}"," ",0,"a*x^m + b*log(c*x^n)^q","A",0
20,1,22,0,1.031359," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""maxima"")","\log\left(\frac{a x^{m} + b {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}{b}\right)"," ",0,"log((a*x^m + b*(log(c) + log(x^n))^q)/b)","A",0
21,1,21,0,1.222097," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""maxima"")","-\frac{1}{a x^{m} + b {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}"," ",0,"-1/(a*x^m + b*(log(c) + log(x^n))^q)","A",0
22,1,49,0,1.673655," ","integrate((a*m*x^m+b*n*q*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(a^{2} x^{2 \, m} + b^{2} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{2 \, q} + 2 \, a b e^{\left(m \log\left(x\right) + q \log\left(\log\left(c\right) + \log\left(x^{n}\right)\right)\right)}\right)}}"," ",0,"-1/2/(a^2*x^(2*m) + b^2*(log(c) + log(x^n))^(2*q) + 2*a*b*e^(m*log(x) + q*log(log(c) + log(x^n))))","B",0
23,1,211,0,0.487706," ","integrate((a/x^2+2*b*n*log(c*x^n)/x^3)*(a*x^2+b*x*log(c*x^n)^2)^2,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} \log\left(c x^{n}\right)^{6} + 4 \, a b^{2} n x \log\left(c x^{n}\right)^{3} + a b^{2} x \log\left(c x^{n}\right)^{4} - \frac{1}{2} \, a^{2} b n^{2} x^{2} + a^{2} b n x^{2} \log\left(c x^{n}\right) + a^{2} b x^{2} \log\left(c x^{n}\right)^{2} + \frac{1}{3} \, a^{3} x^{3} - 12 \, {\left(n x \log\left(c x^{n}\right)^{2} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} n\right)} a b^{2} n + \frac{1}{2} \, {\left(n^{2} x^{2} - 2 \, n x^{2} \log\left(c x^{n}\right)\right)} a^{2} b - 4 \, {\left(n x \log\left(c x^{n}\right)^{3} - 3 \, {\left(n x \log\left(c x^{n}\right)^{2} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} n\right)} n\right)} a b^{2}"," ",0,"1/3*b^3*log(c*x^n)^6 + 4*a*b^2*n*x*log(c*x^n)^3 + a*b^2*x*log(c*x^n)^4 - 1/2*a^2*b*n^2*x^2 + a^2*b*n*x^2*log(c*x^n) + a^2*b*x^2*log(c*x^n)^2 + 1/3*a^3*x^3 - 12*(n*x*log(c*x^n)^2 + 2*(n^2*x - n*x*log(c*x^n))*n)*a*b^2*n + 1/2*(n^2*x^2 - 2*n*x^2*log(c*x^n))*a^2*b - 4*(n*x*log(c*x^n)^3 - 3*(n*x*log(c*x^n)^2 + 2*(n^2*x - n*x*log(c*x^n))*n)*n)*a*b^2","B",0
24,1,74,0,0.461079," ","integrate((a/x+2*b*n*log(c*x^n)/x^2)*(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} \log\left(c x^{n}\right)^{4} - 2 \, a b n^{2} x + 2 \, a b n x \log\left(c x^{n}\right) + a b x \log\left(c x^{n}\right)^{2} + \frac{1}{2} \, a^{2} x^{2} + 2 \, {\left(n^{2} x - n x \log\left(c x^{n}\right)\right)} a b"," ",0,"1/2*b^2*log(c*x^n)^4 - 2*a*b*n^2*x + 2*a*b*n*x*log(c*x^n) + a*b*x*log(c*x^n)^2 + 1/2*a^2*x^2 + 2*(n^2*x - n*x*log(c*x^n))*a*b","B",0
25,1,14,0,0.445407," ","integrate(a+2*b*n*log(c*x^n)/x,x, algorithm=""maxima"")","b \log\left(c x^{n}\right)^{2} + a x"," ",0,"b*log(c*x^n)^2 + a*x","A",0
26,1,32,0,0.614087," ","integrate((a*x+2*b*n*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2),x, algorithm=""maxima"")","\log\left(\frac{b \log\left(c\right)^{2} + 2 \, b \log\left(c\right) \log\left(x^{n}\right) + b \log\left(x^{n}\right)^{2} + a x}{b}\right)"," ",0,"log((b*log(c)^2 + 2*b*log(c)*log(x^n) + b*log(x^n)^2 + a*x)/b)","B",0
27,1,31,0,0.652040," ","integrate((a*x^2+2*b*n*x*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2)^2,x, algorithm=""maxima"")","-\frac{1}{b \log\left(c\right)^{2} + 2 \, b \log\left(c\right) \log\left(x^{n}\right) + b \log\left(x^{n}\right)^{2} + a x}"," ",0,"-1/(b*log(c)^2 + 2*b*log(c)*log(x^n) + b*log(x^n)^2 + a*x)","A",0
28,1,95,0,0.852556," ","integrate((a*x^3+2*b*n*x^2*log(c*x^n))/(a*x^2+b*x*log(c*x^n)^2)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, {\left(b^{2} \log\left(c\right)^{4} + 4 \, b^{2} \log\left(c\right) \log\left(x^{n}\right)^{3} + b^{2} \log\left(x^{n}\right)^{4} + 2 \, a b x \log\left(c\right)^{2} + a^{2} x^{2} + 2 \, {\left(3 \, b^{2} \log\left(c\right)^{2} + a b x\right)} \log\left(x^{n}\right)^{2} + 4 \, {\left(b^{2} \log\left(c\right)^{3} + a b x \log\left(c\right)\right)} \log\left(x^{n}\right)\right)}}"," ",0,"-1/2/(b^2*log(c)^4 + 4*b^2*log(c)*log(x^n)^3 + b^2*log(x^n)^4 + 2*a*b*x*log(c)^2 + a^2*x^2 + 2*(3*b^2*log(c)^2 + a*b*x)*log(x^n)^2 + 4*(b^2*log(c)^3 + a*b*x*log(c))*log(x^n))","B",0
29,1,26,0,1.034781," ","integrate((a*(-1+m)*x^(-1+m)+b*n*q*log(c*x^n)^(-1+q))/(a*x^m+b*x*log(c*x^n)^q),x, algorithm=""maxima"")","\log\left(\frac{b x {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q} + a x^{m}}{b x}\right)"," ",0,"log((b*x*(log(c) + log(x^n))^q + a*x^m)/(b*x))","A",0
30,-2,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
31,-2,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^3/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
32,-2,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)^2/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
33,-2,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))*(a*x^m+b*log(c*x^n)^q)/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
34,1,25,0,0.452278," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x,x, algorithm=""maxima"")","\frac{d x^{m}}{m} + \frac{e \log\left(c x^{n}\right)^{q}}{n q}"," ",0,"d*x^m/m + e*log(c*x^n)^q/(n*q)","A",0
35,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q),x, algorithm=""maxima"")","\frac{e \log\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}{b n} + \int \frac{b d x^{m} \log\left(x^{n}\right) + {\left(b d \log\left(c\right) - a e\right)} x^{m}}{a b x x^{m} \log\left(c\right) + a b x x^{m} \log\left(x^{n}\right) + {\left(b^{2} x \log\left(c\right) + b^{2} x \log\left(x^{n}\right)\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}\,{d x}"," ",0,"e*log(log(c) + log(x^n))/(b*n) + integrate((b*d*x^m*log(x^n) + (b*d*log(c) - a*e)*x^m)/(a*b*x*x^m*log(c) + a*b*x*x^m*log(x^n) + (b^2*x*log(c) + b^2*x*log(x^n))*(log(c) + log(x^n))^q), x)","F",0
36,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""maxima"")","-\frac{b d \log\left(c\right) + b d \log\left(x^{n}\right) - a e}{a^{2} b m x^{m} \log\left(x^{n}\right) - {\left(n q - m \log\left(c\right)\right)} a^{2} b x^{m} + {\left(a b^{2} m \log\left(x^{n}\right) - {\left(n q - m \log\left(c\right)\right)} a b^{2}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}} + \int -\frac{{\left(e m n {\left(q - 1\right)} - e m^{2} \log\left(c\right)\right)} a + {\left(d m n q \log\left(c\right) - {\left(q^{2} - q\right)} d n^{2}\right)} b + {\left(b d m n q - a e m^{2}\right)} \log\left(x^{n}\right)}{a^{2} b m^{2} x x^{m} \log\left(x^{n}\right)^{2} - 2 \, {\left(m n q - m^{2} \log\left(c\right)\right)} a^{2} b x x^{m} \log\left(x^{n}\right) + {\left(n^{2} q^{2} - 2 \, m n q \log\left(c\right) + m^{2} \log\left(c\right)^{2}\right)} a^{2} b x x^{m} + {\left(a b^{2} m^{2} x \log\left(x^{n}\right)^{2} - 2 \, {\left(m n q - m^{2} \log\left(c\right)\right)} a b^{2} x \log\left(x^{n}\right) + {\left(n^{2} q^{2} - 2 \, m n q \log\left(c\right) + m^{2} \log\left(c\right)^{2}\right)} a b^{2} x\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}\,{d x}"," ",0,"-(b*d*log(c) + b*d*log(x^n) - a*e)/(a^2*b*m*x^m*log(x^n) - (n*q - m*log(c))*a^2*b*x^m + (a*b^2*m*log(x^n) - (n*q - m*log(c))*a*b^2)*(log(c) + log(x^n))^q) + integrate(-((e*m*n*(q - 1) - e*m^2*log(c))*a + (d*m*n*q*log(c) - (q^2 - q)*d*n^2)*b + (b*d*m*n*q - a*e*m^2)*log(x^n))/(a^2*b*m^2*x*x^m*log(x^n)^2 - 2*(m*n*q - m^2*log(c))*a^2*b*x*x^m*log(x^n) + (n^2*q^2 - 2*m*n*q*log(c) + m^2*log(c)^2)*a^2*b*x*x^m + (a*b^2*m^2*x*log(x^n)^2 - 2*(m*n*q - m^2*log(c))*a*b^2*x*log(x^n) + (n^2*q^2 - 2*m*n*q*log(c) + m^2*log(c)^2)*a*b^2*x)*(log(c) + log(x^n))^q), x)","F",0
37,0,0,0,0.000000," ","integrate((d*x^m+e*log(c*x^n)^(-1+q))/x/(a*x^m+b*log(c*x^n)^q)^3,x, algorithm=""maxima"")","-\frac{a b d m^{2} x^{m} \log\left(x^{n}\right)^{3} + {\left(a^{2} e m^{2} - {\left(4 \, d m n q - 3 \, d m^{2} \log\left(c\right)\right)} a b\right)} x^{m} \log\left(x^{n}\right)^{2} + {\left({\left(2 \, e m^{2} \log\left(c\right) + e m n\right)} a^{2} - {\left(8 \, d m n q \log\left(c\right) - 3 \, d m^{2} \log\left(c\right)^{2} - {\left(3 \, q^{2} - q\right)} d n^{2}\right)} a b\right)} x^{m} \log\left(x^{n}\right) - {\left({\left(e n^{2} q^{2} - e m^{2} \log\left(c\right)^{2} - e m n \log\left(c\right)\right)} a^{2} + {\left(4 \, d m n q \log\left(c\right)^{2} - d m^{2} \log\left(c\right)^{3} - {\left(3 \, q^{2} - q\right)} d n^{2} \log\left(c\right)\right)} a b\right)} x^{m} - {\left({\left(e m n {\left(2 \, q - 1\right)} \log\left(c\right) - 2 \, e m^{2} \log\left(c\right)^{2}\right)} a b + {\left(2 \, d m n q \log\left(c\right)^{2} - {\left(2 \, q^{2} - q\right)} d n^{2} \log\left(c\right)\right)} b^{2} + 2 \, {\left(b^{2} d m n q - a b e m^{2}\right)} \log\left(x^{n}\right)^{2} + {\left({\left(e m n {\left(2 \, q - 1\right)} - 4 \, e m^{2} \log\left(c\right)\right)} a b + {\left(4 \, d m n q \log\left(c\right) - {\left(2 \, q^{2} - q\right)} d n^{2}\right)} b^{2}\right)} \log\left(x^{n}\right)\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}{2 \, {\left(a^{4} b m^{3} x^{3 \, m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a^{4} b x^{3 \, m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a^{4} b x^{3 \, m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a^{4} b x^{3 \, m} + {\left(a^{2} b^{3} m^{3} x^{m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a^{2} b^{3} x^{m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a^{2} b^{3} x^{m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a^{2} b^{3} x^{m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{2 \, q} + 2 \, {\left(a^{3} b^{2} m^{3} x^{2 \, m} \log\left(x^{n}\right)^{3} - 3 \, {\left(m^{2} n q - m^{3} \log\left(c\right)\right)} a^{3} b^{2} x^{2 \, m} \log\left(x^{n}\right)^{2} + 3 \, {\left(m n^{2} q^{2} - 2 \, m^{2} n q \log\left(c\right) + m^{3} \log\left(c\right)^{2}\right)} a^{3} b^{2} x^{2 \, m} \log\left(x^{n}\right) - {\left(n^{3} q^{3} - 3 \, m n^{2} q^{2} \log\left(c\right) + 3 \, m^{2} n q \log\left(c\right)^{2} - m^{3} \log\left(c\right)^{3}\right)} a^{3} b^{2} x^{2 \, m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}\right)}} - \int -\frac{2 \, {\left(b d m^{3} n q - a e m^{4}\right)} \log\left(x^{n}\right)^{3} + {\left({\left(e m^{3} n {\left(2 \, q - 3\right)} - 6 \, e m^{4} \log\left(c\right)\right)} a + {\left(6 \, d m^{3} n q \log\left(c\right) - {\left(2 \, q^{2} - 3 \, q\right)} d m^{2} n^{2}\right)} b\right)} \log\left(x^{n}\right)^{2} + {\left(e m^{3} n {\left(2 \, q - 3\right)} \log\left(c\right)^{2} - 2 \, e m^{4} \log\left(c\right)^{3} + 2 \, {\left(q^{2} - 1\right)} e m^{2} n^{2} \log\left(c\right) - {\left(2 \, q^{3} - 3 \, q^{2} + q\right)} e m n^{3}\right)} a + {\left(2 \, d m^{3} n q \log\left(c\right)^{3} - {\left(2 \, q^{2} - 3 \, q\right)} d m^{2} n^{2} \log\left(c\right)^{2} - 2 \, {\left(q^{3} - q\right)} d m n^{3} \log\left(c\right) + {\left(2 \, q^{4} - 3 \, q^{3} + q^{2}\right)} d n^{4}\right)} b + 2 \, {\left({\left(e m^{3} n {\left(2 \, q - 3\right)} \log\left(c\right) - 3 \, e m^{4} \log\left(c\right)^{2} + {\left(q^{2} - 1\right)} e m^{2} n^{2}\right)} a + {\left(3 \, d m^{3} n q \log\left(c\right)^{2} - {\left(2 \, q^{2} - 3 \, q\right)} d m^{2} n^{2} \log\left(c\right) - {\left(q^{3} - q\right)} d m n^{3}\right)} b\right)} \log\left(x^{n}\right)}{2 \, {\left(a^{3} b m^{4} x x^{2 \, m} \log\left(x^{n}\right)^{4} - 4 \, {\left(m^{3} n q - m^{4} \log\left(c\right)\right)} a^{3} b x x^{2 \, m} \log\left(x^{n}\right)^{3} + 6 \, {\left(m^{2} n^{2} q^{2} - 2 \, m^{3} n q \log\left(c\right) + m^{4} \log\left(c\right)^{2}\right)} a^{3} b x x^{2 \, m} \log\left(x^{n}\right)^{2} - 4 \, {\left(m n^{3} q^{3} - 3 \, m^{2} n^{2} q^{2} \log\left(c\right) + 3 \, m^{3} n q \log\left(c\right)^{2} - m^{4} \log\left(c\right)^{3}\right)} a^{3} b x x^{2 \, m} \log\left(x^{n}\right) + {\left(n^{4} q^{4} - 4 \, m n^{3} q^{3} \log\left(c\right) + 6 \, m^{2} n^{2} q^{2} \log\left(c\right)^{2} - 4 \, m^{3} n q \log\left(c\right)^{3} + m^{4} \log\left(c\right)^{4}\right)} a^{3} b x x^{2 \, m} + {\left(a^{2} b^{2} m^{4} x x^{m} \log\left(x^{n}\right)^{4} - 4 \, {\left(m^{3} n q - m^{4} \log\left(c\right)\right)} a^{2} b^{2} x x^{m} \log\left(x^{n}\right)^{3} + 6 \, {\left(m^{2} n^{2} q^{2} - 2 \, m^{3} n q \log\left(c\right) + m^{4} \log\left(c\right)^{2}\right)} a^{2} b^{2} x x^{m} \log\left(x^{n}\right)^{2} - 4 \, {\left(m n^{3} q^{3} - 3 \, m^{2} n^{2} q^{2} \log\left(c\right) + 3 \, m^{3} n q \log\left(c\right)^{2} - m^{4} \log\left(c\right)^{3}\right)} a^{2} b^{2} x x^{m} \log\left(x^{n}\right) + {\left(n^{4} q^{4} - 4 \, m n^{3} q^{3} \log\left(c\right) + 6 \, m^{2} n^{2} q^{2} \log\left(c\right)^{2} - 4 \, m^{3} n q \log\left(c\right)^{3} + m^{4} \log\left(c\right)^{4}\right)} a^{2} b^{2} x x^{m}\right)} {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}\right)}}\,{d x}"," ",0,"-1/2*(a*b*d*m^2*x^m*log(x^n)^3 + (a^2*e*m^2 - (4*d*m*n*q - 3*d*m^2*log(c))*a*b)*x^m*log(x^n)^2 + ((2*e*m^2*log(c) + e*m*n)*a^2 - (8*d*m*n*q*log(c) - 3*d*m^2*log(c)^2 - (3*q^2 - q)*d*n^2)*a*b)*x^m*log(x^n) - ((e*n^2*q^2 - e*m^2*log(c)^2 - e*m*n*log(c))*a^2 + (4*d*m*n*q*log(c)^2 - d*m^2*log(c)^3 - (3*q^2 - q)*d*n^2*log(c))*a*b)*x^m - ((e*m*n*(2*q - 1)*log(c) - 2*e*m^2*log(c)^2)*a*b + (2*d*m*n*q*log(c)^2 - (2*q^2 - q)*d*n^2*log(c))*b^2 + 2*(b^2*d*m*n*q - a*b*e*m^2)*log(x^n)^2 + ((e*m*n*(2*q - 1) - 4*e*m^2*log(c))*a*b + (4*d*m*n*q*log(c) - (2*q^2 - q)*d*n^2)*b^2)*log(x^n))*(log(c) + log(x^n))^q)/(a^4*b*m^3*x^(3*m)*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a^4*b*x^(3*m)*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a^4*b*x^(3*m)*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a^4*b*x^(3*m) + (a^2*b^3*m^3*x^m*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a^2*b^3*x^m*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a^2*b^3*x^m*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a^2*b^3*x^m)*(log(c) + log(x^n))^(2*q) + 2*(a^3*b^2*m^3*x^(2*m)*log(x^n)^3 - 3*(m^2*n*q - m^3*log(c))*a^3*b^2*x^(2*m)*log(x^n)^2 + 3*(m*n^2*q^2 - 2*m^2*n*q*log(c) + m^3*log(c)^2)*a^3*b^2*x^(2*m)*log(x^n) - (n^3*q^3 - 3*m*n^2*q^2*log(c) + 3*m^2*n*q*log(c)^2 - m^3*log(c)^3)*a^3*b^2*x^(2*m))*(log(c) + log(x^n))^q) - integrate(-1/2*(2*(b*d*m^3*n*q - a*e*m^4)*log(x^n)^3 + ((e*m^3*n*(2*q - 3) - 6*e*m^4*log(c))*a + (6*d*m^3*n*q*log(c) - (2*q^2 - 3*q)*d*m^2*n^2)*b)*log(x^n)^2 + (e*m^3*n*(2*q - 3)*log(c)^2 - 2*e*m^4*log(c)^3 + 2*(q^2 - 1)*e*m^2*n^2*log(c) - (2*q^3 - 3*q^2 + q)*e*m*n^3)*a + (2*d*m^3*n*q*log(c)^3 - (2*q^2 - 3*q)*d*m^2*n^2*log(c)^2 - 2*(q^3 - q)*d*m*n^3*log(c) + (2*q^4 - 3*q^3 + q^2)*d*n^4)*b + 2*((e*m^3*n*(2*q - 3)*log(c) - 3*e*m^4*log(c)^2 + (q^2 - 1)*e*m^2*n^2)*a + (3*d*m^3*n*q*log(c)^2 - (2*q^2 - 3*q)*d*m^2*n^2*log(c) - (q^3 - q)*d*m*n^3)*b)*log(x^n))/(a^3*b*m^4*x*x^(2*m)*log(x^n)^4 - 4*(m^3*n*q - m^4*log(c))*a^3*b*x*x^(2*m)*log(x^n)^3 + 6*(m^2*n^2*q^2 - 2*m^3*n*q*log(c) + m^4*log(c)^2)*a^3*b*x*x^(2*m)*log(x^n)^2 - 4*(m*n^3*q^3 - 3*m^2*n^2*q^2*log(c) + 3*m^3*n*q*log(c)^2 - m^4*log(c)^3)*a^3*b*x*x^(2*m)*log(x^n) + (n^4*q^4 - 4*m*n^3*q^3*log(c) + 6*m^2*n^2*q^2*log(c)^2 - 4*m^3*n*q*log(c)^3 + m^4*log(c)^4)*a^3*b*x*x^(2*m) + (a^2*b^2*m^4*x*x^m*log(x^n)^4 - 4*(m^3*n*q - m^4*log(c))*a^2*b^2*x*x^m*log(x^n)^3 + 6*(m^2*n^2*q^2 - 2*m^3*n*q*log(c) + m^4*log(c)^2)*a^2*b^2*x*x^m*log(x^n)^2 - 4*(m*n^3*q^3 - 3*m^2*n^2*q^2*log(c) + 3*m^3*n*q*log(c)^2 - m^4*log(c)^3)*a^2*b^2*x*x^m*log(x^n) + (n^4*q^4 - 4*m*n^3*q^3*log(c) + 6*m^2*n^2*q^2*log(c)^2 - 4*m^3*n*q*log(c)^3 + m^4*log(c)^4)*a^2*b^2*x*x^m)*(log(c) + log(x^n))^q), x)","F",0
38,1,31,0,1.245408," ","integrate((a*d*n*x^m-a*d*m*x^m*log(c*x^n)-b*d*n*(-1+q)*log(c*x^n)^q)/x/(a*x^m+b*log(c*x^n)^q)^2,x, algorithm=""maxima"")","\frac{d \log\left(c\right) + d \log\left(x^{n}\right)}{a x^{m} + b {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}"," ",0,"(d*log(c) + d*log(x^n))/(a*x^m + b*(log(c) + log(x^n))^q)","A",0
39,0,0,0,0.000000," ","integrate((n*q-log(c*x^n))/(a*x+b*log(c*x^n)^q)^2,x, algorithm=""maxima"")","n {\left(q - 1\right)} \int \frac{1}{a^{2} x^{2} + a b x {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}\,{d x} + \frac{\log\left(c\right) + \log\left(x^{n}\right)}{a^{2} x + a b {\left(\log\left(c\right) + \log\left(x^{n}\right)\right)}^{q}}"," ",0,"n*(q - 1)*integrate(1/(a^2*x^2 + a*b*x*(log(c) + log(x^n))^q), x) + (log(c) + log(x^n))/(a^2*x + a*b*(log(c) + log(x^n))^q)","F",0
40,-2,0,0,0.000000," ","integrate(log(2*x*(e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
41,-2,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d*(-e/d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
42,-2,0,0,0.000000," ","integrate(log(2*x*(e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
43,-2,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d*e^(1/2)/(-d)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
44,-2,0,0,0.000000," ","integrate(log(2*x*(e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
45,-2,0,0,0.000000," ","integrate(log(-2*x*(-e*x+d^(1/2)*(-e)^(1/2))/(e*x^2+d))/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: Error executing code in Maxima: expt: undefined: 0 to a negative exponent.","F(-2)",0
46,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*log(c*log(d*x)^p)),x, algorithm=""maxima"")","-{\left(e^{m} p \int \frac{x^{m}}{{\left(m^{2} + 2 \, m + 1\right)} \log\left(d\right)^{2} + 2 \, {\left(m^{2} + 2 \, m + 1\right)} \log\left(d\right) \log\left(x\right) + {\left(m^{2} + 2 \, m + 1\right)} \log\left(x\right)^{2}}\,{d x} - \frac{{\left(e^{m} {\left(m + 1\right)} x \log\left(d\right) + e^{m} {\left(m + 1\right)} x \log\left(x\right)\right)} x^{m} \log\left({\left(\log\left(d\right) + \log\left(x\right)\right)}^{p}\right) + {\left(e^{m} {\left(m + 1\right)} x \log\left(c\right) \log\left(x\right) + {\left(e^{m} {\left(m + 1\right)} \log\left(c\right) \log\left(d\right) - e^{m} p\right)} x\right)} x^{m}}{{\left(m^{2} + 2 \, m + 1\right)} \log\left(d\right) + {\left(m^{2} + 2 \, m + 1\right)} \log\left(x\right)}\right)} b + \frac{\left(e x\right)^{m + 1} a}{e {\left(m + 1\right)}}"," ",0,"-(e^m*p*integrate(x^m/((m^2 + 2*m + 1)*log(d)^2 + 2*(m^2 + 2*m + 1)*log(d)*log(x) + (m^2 + 2*m + 1)*log(x)^2), x) - ((e^m*(m + 1)*x*log(d) + e^m*(m + 1)*x*log(x))*x^m*log((log(d) + log(x))^p) + (e^m*(m + 1)*x*log(c)*log(x) + (e^m*(m + 1)*log(c)*log(d) - e^m*p)*x)*x^m)/((m^2 + 2*m + 1)*log(d) + (m^2 + 2*m + 1)*log(x)))*b + (e*x)^(m + 1)*a/(e*(m + 1))","F",0
47,0,0,0,0.000000," ","integrate((e*x)^m*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""maxima"")","-{\left(e^{m} n p \int \frac{x^{m}}{{\left(m + 1\right)} \log\left(d\right) + {\left(m + 1\right)} \log\left(x^{n}\right)}\,{d x} - \frac{e^{m} x x^{m} \log\left(c\right) + e^{m} x x^{m} \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)}{m + 1}\right)} b + \frac{\left(e x\right)^{m + 1} a}{e {\left(m + 1\right)}}"," ",0,"-(e^m*n*p*integrate(x^m/((m + 1)*log(d) + (m + 1)*log(x^n)), x) - (e^m*x*x^m*log(c) + e^m*x*x^m*log((log(d) + log(x^n))^p))/(m + 1))*b + (e*x)^(m + 1)*a/(e*(m + 1))","F",0
48,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""maxima"")","\frac{1}{3} \, a x^{3} + \frac{1}{3} \, {\left(x^{3} \log\left(c\right) + x^{3} \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right) - 3 \, n p \int \frac{x^{2}}{3 \, {\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}}\,{d x}\right)} b"," ",0,"1/3*a*x^3 + 1/3*(x^3*log(c) + x^3*log((log(d) + log(x^n))^p) - 3*n*p*integrate(1/3*x^2/(log(d) + log(x^n)), x))*b","F",0
49,0,0,0,0.000000," ","integrate(x*(a+b*log(c*log(d*x^n)^p)),x, algorithm=""maxima"")","\frac{1}{2} \, a x^{2} - \frac{1}{2} \, {\left(2 \, n p \int \frac{x}{2 \, {\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}}\,{d x} - x^{2} \log\left(c\right) - x^{2} \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)\right)} b"," ",0,"1/2*a*x^2 - 1/2*(2*n*p*integrate(1/2*x/(log(d) + log(x^n)), x) - x^2*log(c) - x^2*log((log(d) + log(x^n))^p))*b","F",0
50,0,0,0,0.000000," ","integrate(a+b*log(c*log(d*x^n)^p),x, algorithm=""maxima"")","-{\left(n p \int \frac{1}{\log\left(d\right) + \log\left(x^{n}\right)}\,{d x} - x \log\left(c\right) - x \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)\right)} b + a x"," ",0,"-(n*p*integrate(1/(log(d) + log(x^n)), x) - x*log(c) - x*log((log(d) + log(x^n))^p))*b + a*x","F",0
51,1,64,0,0.459575," ","integrate((a+b*log(c*log(d*x^n)^p))/x,x, algorithm=""maxima"")","b \log\left(c \log\left(d x^{n}\right)^{p}\right) \log\left(x\right) - {\left(p \log\left(x\right) \log\left(\log\left(d x^{n}\right)\right) - \frac{{\left(\log\left(d x^{n}\right) \log\left(\log\left(d x^{n}\right)\right) - \log\left(d x^{n}\right)\right)} p}{n}\right)} b + a \log\left(x\right)"," ",0,"b*log(c*log(d*x^n)^p)*log(x) - (p*log(x)*log(log(d*x^n)) - (log(d*x^n)*log(log(d*x^n)) - log(d*x^n))*p/n)*b + a*log(x)","A",0
52,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^2,x, algorithm=""maxima"")","{\left(n p \int \frac{1}{x^{2} \log\left(d\right) + x^{2} \log\left(x^{n}\right)}\,{d x} - \frac{\log\left(c\right) + \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)}{x}\right)} b - \frac{a}{x}"," ",0,"(n*p*integrate(1/(x^2*log(d) + x^2*log(x^n)), x) - (log(c) + log((log(d) + log(x^n))^p))/x)*b - a/x","F",0
53,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, n p \int \frac{1}{2 \, {\left(x^{3} \log\left(d\right) + x^{3} \log\left(x^{n}\right)\right)}}\,{d x} - \frac{\log\left(c\right) + \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)}{x^{2}}\right)} b - \frac{a}{2 \, x^{2}}"," ",0,"1/2*(2*n*p*integrate(1/2/(x^3*log(d) + x^3*log(x^n)), x) - (log(c) + log((log(d) + log(x^n))^p))/x^2)*b - 1/2*a/x^2","F",0
54,0,0,0,0.000000," ","integrate((a+b*log(c*log(d*x^n)^p))/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(3 \, n p \int \frac{1}{3 \, {\left(x^{4} \log\left(d\right) + x^{4} \log\left(x^{n}\right)\right)}}\,{d x} - \frac{\log\left(c\right) + \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)}{x^{3}}\right)} b - \frac{a}{3 \, x^{3}}"," ",0,"1/3*(3*n*p*integrate(1/3/(x^4*log(d) + x^4*log(x^n)), x) - (log(c) + log((log(d) + log(x^n))^p))/x^3)*b - 1/3*a/x^3","F",0
55,1,23,0,0.617791," ","integrate(log(c*log(d*x)^p),x, algorithm=""maxima"")","x \log\left(c \log\left(d x\right)^{p}\right) - \frac{p {\rm Ei}\left(\log\left(d x\right)\right)}{d}"," ",0,"x*log(c*log(d*x)^p) - p*Ei(log(d*x))/d","A",0
56,1,22,0,0.441639," ","integrate(log(c*log(d*x)^p)/x,x, algorithm=""maxima"")","-p \log\left(d x\right) + \log\left(d x\right) \log\left(c \log\left(d x\right)^{p}\right)"," ",0,"-p*log(d*x) + log(d*x)*log(c*log(d*x)^p)","A",0
57,0,0,0,0.000000," ","integrate(log(c*log(d*x^n)^p),x, algorithm=""maxima"")","-n p \int \frac{1}{\log\left(d\right) + \log\left(x^{n}\right)}\,{d x} + x \log\left(c\right) + x \log\left({\left(\log\left(d\right) + \log\left(x^{n}\right)\right)}^{p}\right)"," ",0,"-n*p*integrate(1/(log(d) + log(x^n)), x) + x*log(c) + x*log((log(d) + log(x^n))^p)","F",0
58,1,55,0,0.448761," ","integrate(log(c*log(d*x^n)^p)/x,x, algorithm=""maxima"")","-p \log\left(x\right) \log\left(\log\left(d x^{n}\right)\right) + \log\left(c \log\left(d x^{n}\right)^{p}\right) \log\left(x\right) + \frac{{\left(\log\left(d x^{n}\right) \log\left(\log\left(d x^{n}\right)\right) - \log\left(d x^{n}\right)\right)} p}{n}"," ",0,"-p*log(x)*log(log(d*x^n)) + log(c*log(d*x^n)^p)*log(x) + (log(d*x^n)*log(log(d*x^n)) - log(d*x^n))*p/n","B",0
59,0,0,0,0.000000," ","integrate(x^m*log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","\frac{x x^{m} \log\left({\left(c x + b\right)}^{n}\right) + x x^{m} \log\left(x^{n}\right)}{m + 1} + \int \frac{{\left({\left({\left(m + 1\right)} \log\left(d\right) - 2 \, n\right)} c x + {\left({\left(m + 1\right)} \log\left(d\right) - n\right)} b\right)} x^{m}}{c {\left(m + 1\right)} x + b {\left(m + 1\right)}}\,{d x}"," ",0,"(x*x^m*log((c*x + b)^n) + x*x^m*log(x^n))/(m + 1) + integrate((((m + 1)*log(d) - 2*n)*c*x + ((m + 1)*log(d) - n)*b)*x^m/(c*(m + 1)*x + b*(m + 1)), x)","F",0
60,1,87,0,0.447704," ","integrate(x^4*log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","\frac{1}{5} \, x^{5} \log\left({\left(c x^{2} + b x\right)}^{n} d\right) + \frac{1}{300} \, n {\left(\frac{60 \, b^{5} \log\left(c x + b\right)}{c^{5}} - \frac{24 \, c^{4} x^{5} - 15 \, b c^{3} x^{4} + 20 \, b^{2} c^{2} x^{3} - 30 \, b^{3} c x^{2} + 60 \, b^{4} x}{c^{4}}\right)}"," ",0,"1/5*x^5*log((c*x^2 + b*x)^n*d) + 1/300*n*(60*b^5*log(c*x + b)/c^5 - (24*c^4*x^5 - 15*b*c^3*x^4 + 20*b^2*c^2*x^3 - 30*b^3*c*x^2 + 60*b^4*x)/c^4)","A",0
61,1,75,0,0.444866," ","integrate(x^3*log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \log\left({\left(c x^{2} + b x\right)}^{n} d\right) - \frac{1}{24} \, n {\left(\frac{6 \, b^{4} \log\left(c x + b\right)}{c^{4}} + \frac{3 \, c^{3} x^{4} - 2 \, b c^{2} x^{3} + 3 \, b^{2} c x^{2} - 6 \, b^{3} x}{c^{3}}\right)}"," ",0,"1/4*x^4*log((c*x^2 + b*x)^n*d) - 1/24*n*(6*b^4*log(c*x + b)/c^4 + (3*c^3*x^4 - 2*b*c^2*x^3 + 3*b^2*c*x^2 - 6*b^3*x)/c^3)","A",0
62,1,65,0,0.443856," ","integrate(x^2*log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left({\left(c x^{2} + b x\right)}^{n} d\right) + \frac{1}{18} \, n {\left(\frac{6 \, b^{3} \log\left(c x + b\right)}{c^{3}} - \frac{4 \, c^{2} x^{3} - 3 \, b c x^{2} + 6 \, b^{2} x}{c^{2}}\right)}"," ",0,"1/3*x^3*log((c*x^2 + b*x)^n*d) + 1/18*n*(6*b^3*log(c*x + b)/c^3 - (4*c^2*x^3 - 3*b*c*x^2 + 6*b^2*x)/c^2)","A",0
63,1,51,0,0.439682," ","integrate(x*log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left({\left(c x^{2} + b x\right)}^{n} d\right) - \frac{1}{2} \, n {\left(\frac{b^{2} \log\left(c x + b\right)}{c^{2}} + \frac{c x^{2} - b x}{c}\right)}"," ",0,"1/2*x^2*log((c*x^2 + b*x)^n*d) - 1/2*n*(b^2*log(c*x + b)/c^2 + (c*x^2 - b*x)/c)","A",0
64,1,36,0,0.446695," ","integrate(log(d*(c*x^2+b*x)^n),x, algorithm=""maxima"")","-n {\left(2 \, x - \frac{b \log\left(c x + b\right)}{c}\right)} + x \log\left({\left(c x^{2} + b x\right)}^{n} d\right)"," ",0,"-n*(2*x - b*log(c*x + b)/c) + x*log((c*x^2 + b*x)^n*d)","A",0
65,1,80,0,0.451889," ","integrate(log(d*(c*x^2+b*x)^n)/x,x, algorithm=""maxima"")","-n \log\left(c x^{2} + b x\right) \log\left(x\right) + \frac{1}{2} \, {\left(2 \, \log\left(c x^{2} + b x\right) \log\left(x\right) - 2 \, \log\left(\frac{c x}{b} + 1\right) \log\left(x\right) - \log\left(x\right)^{2} - 2 \, {\rm Li}_2\left(-\frac{c x}{b}\right)\right)} n + \log\left({\left(c x^{2} + b x\right)}^{n} d\right) \log\left(x\right)"," ",0,"-n*log(c*x^2 + b*x)*log(x) + 1/2*(2*log(c*x^2 + b*x)*log(x) - 2*log(c*x/b + 1)*log(x) - log(x)^2 - 2*dilog(-c*x/b))*n + log((c*x^2 + b*x)^n*d)*log(x)","A",0
66,1,46,0,0.445345," ","integrate(log(d*(c*x^2+b*x)^n)/x^2,x, algorithm=""maxima"")","-n {\left(\frac{c \log\left(c x + b\right)}{b} - \frac{c \log\left(x\right)}{b} + \frac{1}{x}\right)} - \frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{x}"," ",0,"-n*(c*log(c*x + b)/b - c*log(x)/b + 1/x) - log((c*x^2 + b*x)^n*d)/x","A",0
67,1,62,0,0.698236," ","integrate(log(d*(c*x^2+b*x)^n)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, n {\left(\frac{2 \, c^{2} \log\left(c x + b\right)}{b^{2}} - \frac{2 \, c^{2} \log\left(x\right)}{b^{2}} - \frac{2 \, c x + b}{b x^{2}}\right)} - \frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{2 \, x^{2}}"," ",0,"1/4*n*(2*c^2*log(c*x + b)/b^2 - 2*c^2*log(x)/b^2 - (2*c*x + b)/(b*x^2)) - 1/2*log((c*x^2 + b*x)^n*d)/x^2","A",0
68,1,75,0,0.684982," ","integrate(log(d*(c*x^2+b*x)^n)/x^4,x, algorithm=""maxima"")","-\frac{1}{18} \, n {\left(\frac{6 \, c^{3} \log\left(c x + b\right)}{b^{3}} - \frac{6 \, c^{3} \log\left(x\right)}{b^{3}} - \frac{6 \, c^{2} x^{2} - 3 \, b c x - 2 \, b^{2}}{b^{2} x^{3}}\right)} - \frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{3 \, x^{3}}"," ",0,"-1/18*n*(6*c^3*log(c*x + b)/b^3 - 6*c^3*log(x)/b^3 - (6*c^2*x^2 - 3*b*c*x - 2*b^2)/(b^2*x^3)) - 1/3*log((c*x^2 + b*x)^n*d)/x^3","A",0
69,1,86,0,0.617056," ","integrate(log(d*(c*x^2+b*x)^n)/x^5,x, algorithm=""maxima"")","\frac{1}{48} \, n {\left(\frac{12 \, c^{4} \log\left(c x + b\right)}{b^{4}} - \frac{12 \, c^{4} \log\left(x\right)}{b^{4}} - \frac{12 \, c^{3} x^{3} - 6 \, b c^{2} x^{2} + 4 \, b^{2} c x + 3 \, b^{3}}{b^{3} x^{4}}\right)} - \frac{\log\left({\left(c x^{2} + b x\right)}^{n} d\right)}{4 \, x^{4}}"," ",0,"1/48*n*(12*c^4*log(c*x + b)/b^4 - 12*c^4*log(x)/b^4 - (12*c^3*x^3 - 6*b*c^2*x^2 + 4*b^2*c*x + 3*b^3)/(b^3*x^4)) - 1/4*log((c*x^2 + b*x)^n*d)/x^4","A",0
70,0,0,0,0.000000," ","integrate(x^m*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\frac{x x^{m} \log\left({\left(c x^{2} + b x + a\right)}^{n}\right)}{m + 1} + \int \frac{{\left({\left({\left(m + 1\right)} \log\left(d\right) - 2 \, n\right)} c x^{2} + {\left({\left(m + 1\right)} \log\left(d\right) - n\right)} b x + a {\left(m + 1\right)} \log\left(d\right)\right)} x^{m}}{c {\left(m + 1\right)} x^{2} + b {\left(m + 1\right)} x + a {\left(m + 1\right)}}\,{d x}"," ",0,"x*x^m*log((c*x^2 + b*x + a)^n)/(m + 1) + integrate((((m + 1)*log(d) - 2*n)*c*x^2 + ((m + 1)*log(d) - n)*b*x + a*(m + 1)*log(d))*x^m/(c*(m + 1)*x^2 + b*(m + 1)*x + a*(m + 1)), x)","F",0
71,-2,0,0,0.000000," ","integrate(x^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
72,-2,0,0,0.000000," ","integrate(x^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
73,-2,0,0,0.000000," ","integrate(x^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
74,-2,0,0,0.000000," ","integrate(x*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
75,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
76,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x,x, algorithm=""maxima"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{x}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)/x, x)","F",0
77,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
78,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
79,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
80,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/x^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
81,1,37,0,1.340796," ","integrate(log(x^2+x+1),x, algorithm=""maxima"")","x \log\left(x^{2} + x + 1\right) + \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - 2 \, x + \frac{1}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"x*log(x^2 + x + 1) + sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 2*x + 1/2*log(x^2 + x + 1)","A",0
82,-2,0,0,0.000000," ","integrate((e*x+d)^4*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
83,-2,0,0,0.000000," ","integrate((e*x+d)^3*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
84,-2,0,0,0.000000," ","integrate((e*x+d)^2*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
85,-2,0,0,0.000000," ","integrate((e*x+d)*log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
86,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
87,0,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d),x, algorithm=""maxima"")","\int \frac{\log\left({\left(c x^{2} + b x + a\right)}^{n} d\right)}{e x + d}\,{d x}"," ",0,"integrate(log((c*x^2 + b*x + a)^n*d)/(e*x + d), x)","F",0
88,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
89,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^3,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
90,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^4,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
91,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(e*x+d)^5,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
92,0,0,0,0.000000," ","integrate(log(d*(c*x^2+a)^n)/(c*e*x^2+a*e),x, algorithm=""maxima"")","\int \frac{\log\left({\left(c x^{2} + a\right)}^{n} d\right)}{c e x^{2} + a e}\,{d x}"," ",0,"integrate(log((c*x^2 + a)^n*d)/(c*e*x^2 + a*e), x)","F",0
93,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)/(c*e*x^2+b*e*x+a*e),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
94,-2,0,0,0.000000," ","integrate(log(g*(c*x^2+b*x+a)^n)/(e*x^2+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
95,-2,0,0,0.000000," ","integrate(log(g*(c*x^2+b*x+a)^n)/(f*x^2+e*x+d),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*d*f-e^2>0)', see `assume?` for more details)Is 4*d*f-e^2 positive or negative?","F(-2)",0
96,1,123,0,0.699862," ","integrate(log(d*(c*x^2+b*x)^n)^2,x, algorithm=""maxima"")","-{\left(\frac{2 \, {\left(\log\left(c x + b\right) \log\left(-\frac{c x + b}{b} + 1\right) + {\rm Li}_2\left(\frac{c x + b}{b}\right)\right)} b}{c} + \frac{b \log\left(c x + b\right)^{2} - 8 \, c x + 4 \, b \log\left(c x + b\right)}{c}\right)} n^{2} - 2 \, n {\left(2 \, x - \frac{b \log\left(c x + b\right)}{c}\right)} \log\left({\left(c x^{2} + b x\right)}^{n} d\right) + x \log\left({\left(c x^{2} + b x\right)}^{n} d\right)^{2}"," ",0,"-(2*(log(c*x + b)*log(-(c*x + b)/b + 1) + dilog((c*x + b)/b))*b/c + (b*log(c*x + b)^2 - 8*c*x + 4*b*log(c*x + b))/c)*n^2 - 2*n*(2*x - b*log(c*x + b)/c)*log((c*x^2 + b*x)^n*d) + x*log((c*x^2 + b*x)^n*d)^2","A",0
97,-2,0,0,0.000000," ","integrate(log(d*(c*x^2+b*x+a)^n)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
98,0,0,0,0.000000," ","integrate(x^2*log(x^2+x+1)/(x^2+3*x+2),x, algorithm=""maxima"")","\int \frac{x^{2} \log\left(x^{2} + x + 1\right)}{x^{2} + 3 \, x + 2}\,{d x}"," ",0,"integrate(x^2*log(x^2 + x + 1)/(x^2 + 3*x + 2), x)","F",0
99,0,0,0,0.000000," ","integrate(log(x^2+x+1)^2,x, algorithm=""maxima"")","x \log\left(x^{2} + x + 1\right)^{2} - \int \frac{2 \, {\left(2 \, x^{2} + x\right)} \log\left(x^{2} + x + 1\right)}{x^{2} + x + 1}\,{d x}"," ",0,"x*log(x^2 + x + 1)^2 - integrate(2*(2*x^2 + x)*log(x^2 + x + 1)/(x^2 + x + 1), x)","F",0
100,0,0,0,0.000000," ","integrate(log(x^2+x-1)^2/x^3,x, algorithm=""maxima"")","-\frac{\log\left(x^{2} + x - 1\right)^{2}}{2 \, x^{2}} + \int \frac{{\left(2 \, x + 1\right)} \log\left(x^{2} + x - 1\right)}{x^{4} + x^{3} - x^{2}}\,{d x}"," ",0,"-1/2*log(x^2 + x - 1)^2/x^2 + integrate((2*x + 1)*log(x^2 + x - 1)/(x^4 + x^3 - x^2), x)","F",0
101,0,0,0,0.000000," ","integrate(x^3*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","\int x^{3} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)\,{d x}"," ",0,"integrate(x^3*log(4*x + 4*sqrt((x - 1)*x) - 1), x)","F",0
102,0,0,0,0.000000," ","integrate(x^2*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","\int x^{2} \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)\,{d x}"," ",0,"integrate(x^2*log(4*x + 4*sqrt((x - 1)*x) - 1), x)","F",0
103,0,0,0,0.000000," ","integrate(x*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","\int x \log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)\,{d x}"," ",0,"integrate(x*log(4*x + 4*sqrt((x - 1)*x) - 1), x)","F",0
104,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","x \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right) - \frac{1}{2} \, x + \int \frac{2 \, x^{2} + x}{2 \, {\left(4 \, x^{3} - 5 \, x^{2} + 4 \, {\left(x^{\frac{5}{2}} - x^{\frac{3}{2}}\right)} \sqrt{x - 1} + x\right)}}\,{d x} - \frac{1}{2} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{2} \, \log\left(\sqrt{x} - 1\right)"," ",0,"x*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1) - 1/2*x + integrate(1/2*(2*x^2 + x)/(4*x^3 - 5*x^2 + 4*(x^(5/2) - x^(3/2))*sqrt(x - 1) + x), x) - 1/2*log(sqrt(x) + 1) - 1/2*log(sqrt(x) - 1)","F",0
105,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x,x, algorithm=""maxima"")","\int \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{x}\,{d x}"," ",0,"integrate(log(4*x + 4*sqrt((x - 1)*x) - 1)/x, x)","F",0
106,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^2,x, algorithm=""maxima"")","\int \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{x^{2}}\,{d x}"," ",0,"integrate(log(4*x + 4*sqrt((x - 1)*x) - 1)/x^2, x)","F",0
107,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^3,x, algorithm=""maxima"")","\int \frac{\log\left(4 \, x + 4 \, \sqrt{{\left(x - 1\right)} x} - 1\right)}{x^{3}}\,{d x}"," ",0,"integrate(log(4*x + 4*sqrt((x - 1)*x) - 1)/x^3, x)","F",0
108,0,0,0,0.000000," ","integrate(x^(3/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","\frac{2}{5} \, x^{\frac{5}{2}} \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right) - \frac{2}{25} \, {\left(2 \, x^{2} + 5\right)} \sqrt{x} - \frac{2}{15} \, x^{\frac{3}{2}} + \int \frac{2 \, x^{\frac{5}{2}} + x^{\frac{3}{2}}}{5 \, {\left(4 \, x^{2} + 4 \, {\left(x^{\frac{3}{2}} - \sqrt{x}\right)} \sqrt{x - 1} - 5 \, x + 1\right)}}\,{d x} + \frac{1}{5} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{5} \, \log\left(\sqrt{x} - 1\right)"," ",0,"2/5*x^(5/2)*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1) - 2/25*(2*x^2 + 5)*sqrt(x) - 2/15*x^(3/2) + integrate(1/5*(2*x^(5/2) + x^(3/2))/(4*x^2 + 4*(x^(3/2) - sqrt(x))*sqrt(x - 1) - 5*x + 1), x) + 1/5*log(sqrt(x) + 1) - 1/5*log(sqrt(x) - 1)","F",0
109,0,0,0,0.000000," ","integrate(x^(1/2)*log(-1+4*x+4*((-1+x)*x)^(1/2)),x, algorithm=""maxima"")","\frac{2}{3} \, x^{\frac{3}{2}} \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right) - \frac{4}{9} \, x^{\frac{3}{2}} - \frac{2}{3} \, \sqrt{x} + \int \frac{2 \, x^{2} + x}{3 \, {\left(4 \, x^{\frac{5}{2}} + 4 \, {\left(x^{2} - x\right)} \sqrt{x - 1} - 5 \, x^{\frac{3}{2}} + \sqrt{x}\right)}}\,{d x} + \frac{1}{3} \, \log\left(\sqrt{x} + 1\right) - \frac{1}{3} \, \log\left(\sqrt{x} - 1\right)"," ",0,"2/3*x^(3/2)*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1) - 4/9*x^(3/2) - 2/3*sqrt(x) + integrate(1/3*(2*x^2 + x)/(4*x^(5/2) + 4*(x^2 - x)*sqrt(x - 1) - 5*x^(3/2) + sqrt(x)), x) + 1/3*log(sqrt(x) + 1) - 1/3*log(sqrt(x) - 1)","F",0
110,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x} \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right) - 4 \, \sqrt{x} + \int \frac{2 \, x^{2} + x}{4 \, x^{\frac{7}{2}} - 5 \, x^{\frac{5}{2}} + 4 \, {\left(x^{3} - x^{2}\right)} \sqrt{x - 1} + x^{\frac{3}{2}}}\,{d x} + \log\left(\sqrt{x} + 1\right) - \log\left(\sqrt{x} - 1\right)"," ",0,"2*sqrt(x)*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1) - 4*sqrt(x) + integrate((2*x^2 + x)/(4*x^(7/2) - 5*x^(5/2) + 4*(x^3 - x^2)*sqrt(x - 1) + x^(3/2)), x) + log(sqrt(x) + 1) - log(sqrt(x) - 1)","F",0
111,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right)}{\sqrt{x}} - \frac{2}{\sqrt{x}} - \int \frac{2 \, x^{2} + x}{4 \, x^{\frac{9}{2}} - 5 \, x^{\frac{7}{2}} + x^{\frac{5}{2}} + 4 \, {\left(x^{4} - x^{3}\right)} \sqrt{x - 1}}\,{d x} - \log\left(\sqrt{x} + 1\right) + \log\left(\sqrt{x} - 1\right)"," ",0,"-2*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1)/sqrt(x) - 2/sqrt(x) - integrate((2*x^2 + x)/(4*x^(9/2) - 5*x^(7/2) + x^(5/2) + 4*(x^4 - x^3)*sqrt(x - 1)), x) - log(sqrt(x) + 1) + log(sqrt(x) - 1)","F",0
112,0,0,0,0.000000," ","integrate(log(-1+4*x+4*((-1+x)*x)^(1/2))/x^(5/2),x, algorithm=""maxima"")","\frac{2}{3 \, \sqrt{x}} - \frac{2 \, \log\left(4 \, \sqrt{x - 1} \sqrt{x} + 4 \, x - 1\right)}{3 \, x^{\frac{3}{2}}} - \frac{2}{9 \, x^{\frac{3}{2}}} - \int \frac{2 \, x^{2} + x}{3 \, {\left(4 \, x^{\frac{11}{2}} - 5 \, x^{\frac{9}{2}} + x^{\frac{7}{2}} + 4 \, {\left(x^{5} - x^{4}\right)} \sqrt{x - 1}\right)}}\,{d x} - \frac{1}{3} \, \log\left(\sqrt{x} + 1\right) + \frac{1}{3} \, \log\left(\sqrt{x} - 1\right)"," ",0,"2/3/sqrt(x) - 2/3*log(4*sqrt(x - 1)*sqrt(x) + 4*x - 1)/x^(3/2) - 2/9/x^(3/2) - integrate(1/3*(2*x^2 + x)/(4*x^(11/2) - 5*x^(9/2) + x^(7/2) + 4*(x^5 - x^4)*sqrt(x - 1)), x) - 1/3*log(sqrt(x) + 1) + 1/3*log(sqrt(x) - 1)","F",0
113,1,82,0,0.777207," ","integrate(x^3*log(a+b*exp(x)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \log\left(b e^{x} + a\right) - \frac{1}{4} \, x^{4} \log\left(\frac{b e^{x}}{a} + 1\right) - x^{3} {\rm Li}_2\left(-\frac{b e^{x}}{a}\right) + 3 \, x^{2} {\rm Li}_{3}(-\frac{b e^{x}}{a}) - 6 \, x {\rm Li}_{4}(-\frac{b e^{x}}{a}) + 6 \, {\rm Li}_{5}(-\frac{b e^{x}}{a})"," ",0,"1/4*x^4*log(b*e^x + a) - 1/4*x^4*log(b*e^x/a + 1) - x^3*dilog(-b*e^x/a) + 3*x^2*polylog(3, -b*e^x/a) - 6*x*polylog(4, -b*e^x/a) + 6*polylog(5, -b*e^x/a)","A",0
114,1,67,0,0.765697," ","integrate(x^2*log(a+b*exp(x)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left(b e^{x} + a\right) - \frac{1}{3} \, x^{3} \log\left(\frac{b e^{x}}{a} + 1\right) - x^{2} {\rm Li}_2\left(-\frac{b e^{x}}{a}\right) + 2 \, x {\rm Li}_{3}(-\frac{b e^{x}}{a}) - 2 \, {\rm Li}_{4}(-\frac{b e^{x}}{a})"," ",0,"1/3*x^3*log(b*e^x + a) - 1/3*x^3*log(b*e^x/a + 1) - x^2*dilog(-b*e^x/a) + 2*x*polylog(3, -b*e^x/a) - 2*polylog(4, -b*e^x/a)","A",0
115,1,50,0,0.601443," ","integrate(x*log(a+b*exp(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(b e^{x} + a\right) - \frac{1}{2} \, x^{2} \log\left(\frac{b e^{x}}{a} + 1\right) - x {\rm Li}_2\left(-\frac{b e^{x}}{a}\right) + {\rm Li}_{3}(-\frac{b e^{x}}{a})"," ",0,"1/2*x^2*log(b*e^x + a) - 1/2*x^2*log(b*e^x/a + 1) - x*dilog(-b*e^x/a) + polylog(3, -b*e^x/a)","A",0
116,1,34,0,0.691548," ","integrate(log(a+b*exp(x)),x, algorithm=""maxima"")","\log\left(b e^{x} + a\right) \log\left(-\frac{b e^{x} + a}{a} + 1\right) + {\rm Li}_2\left(\frac{b e^{x} + a}{a}\right)"," ",0,"log(b*e^x + a)*log(-(b*e^x + a)/a + 1) + dilog((b*e^x + a)/a)","A",0
117,0,0,0,0.000000," ","integrate(log(a+b*exp(x))/x,x, algorithm=""maxima"")","\int \frac{\log\left(b e^{x} + a\right)}{x}\,{d x}"," ",0,"integrate(log(b*e^x + a)/x, x)","F",0
118,1,189,0,0.778308," ","integrate(x^3*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \log\left(e f^{{\left(b x + a\right)} c n} + 1\right) - \frac{b^{4} c^{4} n^{4} x^{4} \log\left(e f^{b c n x} f^{a c n} + 1\right) \log\left(f\right)^{4} + 4 \, b^{3} c^{3} n^{3} x^{3} {\rm Li}_2\left(-e f^{b c n x} f^{a c n}\right) \log\left(f\right)^{3} - 12 \, b^{2} c^{2} n^{2} x^{2} \log\left(f\right)^{2} {\rm Li}_{3}(-e f^{b c n x} f^{a c n}) + 24 \, b c n x \log\left(f\right) {\rm Li}_{4}(-e f^{b c n x} f^{a c n}) - 24 \, {\rm Li}_{5}(-e f^{b c n x} f^{a c n})}{4 \, b^{4} c^{4} n^{4} \log\left(f\right)^{4}}"," ",0,"1/4*x^4*log(e*f^((b*x + a)*c*n) + 1) - 1/4*(b^4*c^4*n^4*x^4*log(e*f^(b*c*n*x)*f^(a*c*n) + 1)*log(f)^4 + 4*b^3*c^3*n^3*x^3*dilog(-e*f^(b*c*n*x)*f^(a*c*n))*log(f)^3 - 12*b^2*c^2*n^2*x^2*log(f)^2*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)) + 24*b*c*n*x*log(f)*polylog(4, -e*f^(b*c*n*x)*f^(a*c*n)) - 24*polylog(5, -e*f^(b*c*n*x)*f^(a*c*n)))/(b^4*c^4*n^4*log(f)^4)","A",0
119,1,153,0,0.809514," ","integrate(x^2*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left(e f^{{\left(b x + a\right)} c n} + 1\right) - \frac{b^{3} c^{3} n^{3} x^{3} \log\left(e f^{b c n x} f^{a c n} + 1\right) \log\left(f\right)^{3} + 3 \, b^{2} c^{2} n^{2} x^{2} {\rm Li}_2\left(-e f^{b c n x} f^{a c n}\right) \log\left(f\right)^{2} - 6 \, b c n x \log\left(f\right) {\rm Li}_{3}(-e f^{b c n x} f^{a c n}) + 6 \, {\rm Li}_{4}(-e f^{b c n x} f^{a c n})}{3 \, b^{3} c^{3} n^{3} \log\left(f\right)^{3}}"," ",0,"1/3*x^3*log(e*f^((b*x + a)*c*n) + 1) - 1/3*(b^3*c^3*n^3*x^3*log(e*f^(b*c*n*x)*f^(a*c*n) + 1)*log(f)^3 + 3*b^2*c^2*n^2*x^2*dilog(-e*f^(b*c*n*x)*f^(a*c*n))*log(f)^2 - 6*b*c*n*x*log(f)*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)) + 6*polylog(4, -e*f^(b*c*n*x)*f^(a*c*n)))/(b^3*c^3*n^3*log(f)^3)","A",0
120,1,117,0,0.864110," ","integrate(x*log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(e f^{{\left(b x + a\right)} c n} + 1\right) - \frac{b^{2} c^{2} n^{2} x^{2} \log\left(e f^{b c n x} f^{a c n} + 1\right) \log\left(f\right)^{2} + 2 \, b c n x {\rm Li}_2\left(-e f^{b c n x} f^{a c n}\right) \log\left(f\right) - 2 \, {\rm Li}_{3}(-e f^{b c n x} f^{a c n})}{2 \, b^{2} c^{2} n^{2} \log\left(f\right)^{2}}"," ",0,"1/2*x^2*log(e*f^((b*x + a)*c*n) + 1) - 1/2*(b^2*c^2*n^2*x^2*log(e*f^(b*c*n*x)*f^(a*c*n) + 1)*log(f)^2 + 2*b*c*n*x*dilog(-e*f^(b*c*n*x)*f^(a*c*n))*log(f) - 2*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)))/(b^2*c^2*n^2*log(f)^2)","A",0
121,1,76,0,0.896906," ","integrate(log(1+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","x \log\left(e f^{{\left(b x + a\right)} c n} + 1\right) - \frac{b c n x \log\left(e f^{b c n x} f^{a c n} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-e f^{b c n x} f^{a c n}\right)}{b c n \log\left(f\right)}"," ",0,"x*log(e*f^((b*x + a)*c*n) + 1) - (b*c*n*x*log(e*f^(b*c*n*x)*f^(a*c*n) + 1)*log(f) + dilog(-e*f^(b*c*n*x)*f^(a*c*n)))/(b*c*n*log(f))","B",0
122,0,0,0,0.000000," ","integrate(log(1+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""maxima"")","\int \frac{\log\left(e f^{{\left(b x + a\right)} c n} + 1\right)}{x}\,{d x}"," ",0,"integrate(log(e*f^((b*x + a)*c*n) + 1)/x, x)","F",0
123,1,204,0,0.805532," ","integrate(x^3*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \log\left(e f^{{\left(b x + a\right)} c n} + d\right) - \frac{b^{4} c^{4} n^{4} x^{4} \log\left(\frac{e f^{b c n x} f^{a c n}}{d} + 1\right) \log\left(f\right)^{4} + 4 \, b^{3} c^{3} n^{3} x^{3} {\rm Li}_2\left(-\frac{e f^{b c n x} f^{a c n}}{d}\right) \log\left(f\right)^{3} - 12 \, b^{2} c^{2} n^{2} x^{2} \log\left(f\right)^{2} {\rm Li}_{3}(-\frac{e f^{b c n x} f^{a c n}}{d}) + 24 \, b c n x \log\left(f\right) {\rm Li}_{4}(-\frac{e f^{b c n x} f^{a c n}}{d}) - 24 \, {\rm Li}_{5}(-\frac{e f^{b c n x} f^{a c n}}{d})}{4 \, b^{4} c^{4} n^{4} \log\left(f\right)^{4}}"," ",0,"1/4*x^4*log(e*f^((b*x + a)*c*n) + d) - 1/4*(b^4*c^4*n^4*x^4*log(e*f^(b*c*n*x)*f^(a*c*n)/d + 1)*log(f)^4 + 4*b^3*c^3*n^3*x^3*dilog(-e*f^(b*c*n*x)*f^(a*c*n)/d)*log(f)^3 - 12*b^2*c^2*n^2*x^2*log(f)^2*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)/d) + 24*b*c*n*x*log(f)*polylog(4, -e*f^(b*c*n*x)*f^(a*c*n)/d) - 24*polylog(5, -e*f^(b*c*n*x)*f^(a*c*n)/d))/(b^4*c^4*n^4*log(f)^4)","A",0
124,1,165,0,0.866189," ","integrate(x^2*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} \log\left(e f^{{\left(b x + a\right)} c n} + d\right) - \frac{b^{3} c^{3} n^{3} x^{3} \log\left(\frac{e f^{b c n x} f^{a c n}}{d} + 1\right) \log\left(f\right)^{3} + 3 \, b^{2} c^{2} n^{2} x^{2} {\rm Li}_2\left(-\frac{e f^{b c n x} f^{a c n}}{d}\right) \log\left(f\right)^{2} - 6 \, b c n x \log\left(f\right) {\rm Li}_{3}(-\frac{e f^{b c n x} f^{a c n}}{d}) + 6 \, {\rm Li}_{4}(-\frac{e f^{b c n x} f^{a c n}}{d})}{3 \, b^{3} c^{3} n^{3} \log\left(f\right)^{3}}"," ",0,"1/3*x^3*log(e*f^((b*x + a)*c*n) + d) - 1/3*(b^3*c^3*n^3*x^3*log(e*f^(b*c*n*x)*f^(a*c*n)/d + 1)*log(f)^3 + 3*b^2*c^2*n^2*x^2*dilog(-e*f^(b*c*n*x)*f^(a*c*n)/d)*log(f)^2 - 6*b*c*n*x*log(f)*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)/d) + 6*polylog(4, -e*f^(b*c*n*x)*f^(a*c*n)/d))/(b^3*c^3*n^3*log(f)^3)","A",0
125,1,126,0,0.777770," ","integrate(x*log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(e f^{{\left(b x + a\right)} c n} + d\right) - \frac{b^{2} c^{2} n^{2} x^{2} \log\left(\frac{e f^{b c n x} f^{a c n}}{d} + 1\right) \log\left(f\right)^{2} + 2 \, b c n x {\rm Li}_2\left(-\frac{e f^{b c n x} f^{a c n}}{d}\right) \log\left(f\right) - 2 \, {\rm Li}_{3}(-\frac{e f^{b c n x} f^{a c n}}{d})}{2 \, b^{2} c^{2} n^{2} \log\left(f\right)^{2}}"," ",0,"1/2*x^2*log(e*f^((b*x + a)*c*n) + d) - 1/2*(b^2*c^2*n^2*x^2*log(e*f^(b*c*n*x)*f^(a*c*n)/d + 1)*log(f)^2 + 2*b*c*n*x*dilog(-e*f^(b*c*n*x)*f^(a*c*n)/d)*log(f) - 2*polylog(3, -e*f^(b*c*n*x)*f^(a*c*n)/d))/(b^2*c^2*n^2*log(f)^2)","A",0
126,1,82,0,0.829054," ","integrate(log(d+e*(f^(c*(b*x+a)))^n),x, algorithm=""maxima"")","x \log\left(e f^{{\left(b x + a\right)} c n} + d\right) - \frac{b c n x \log\left(\frac{e f^{b c n x} f^{a c n}}{d} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-\frac{e f^{b c n x} f^{a c n}}{d}\right)}{b c n \log\left(f\right)}"," ",0,"x*log(e*f^((b*x + a)*c*n) + d) - (b*c*n*x*log(e*f^(b*c*n*x)*f^(a*c*n)/d + 1)*log(f) + dilog(-e*f^(b*c*n*x)*f^(a*c*n)/d))/(b*c*n*log(f))","A",0
127,0,0,0,0.000000," ","integrate(log(d+e*(f^(c*(b*x+a)))^n)/x,x, algorithm=""maxima"")","\int \frac{\log\left(e f^{{\left(b x + a\right)} c n} + d\right)}{x}\,{d x}"," ",0,"integrate(log(e*f^((b*x + a)*c*n) + d)/x, x)","F",0
128,0,0,0,0.000000," ","integrate(log(b*(F^(e*(d*x+c)))^n+pi),x, algorithm=""maxima"")","-\frac{1}{2} \, d e n x^{2} \log\left(F\right) + \pi d e n \int \frac{x}{\pi + {\left(F^{d e x}\right)}^{n} {\left(F^{c e}\right)}^{n} b}\,{d x} \log\left(F\right) + x \log\left(\pi + {\left(F^{d e x}\right)}^{n} {\left(F^{c e}\right)}^{n} b\right)"," ",0,"-1/2*d*e*n*x^2*log(F) + pi*d*e*n*integrate(x/(pi + (F^(d*e*x))^n*(F^(c*e))^n*b), x)*log(F) + x*log(pi + (F^(d*e*x))^n*(F^(c*e))^n*b)","F",0
129,1,5,0,0.619896," ","integrate(1/x/(3+log(x)),x, algorithm=""maxima"")","\log\left(\log\left(x\right) + 3\right)"," ",0,"log(log(x) + 3)","A",0
130,1,8,0,0.718169," ","integrate((1+log(x))^(1/2)/x,x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}}"," ",0,"2/3*(log(x) + 1)^(3/2)","A",0
131,1,8,0,0.652172," ","integrate((1+log(x))^5/x,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(\log\left(x\right) + 1\right)}^{6}"," ",0,"1/6*(log(x) + 1)^6","A",0
132,1,6,0,0.768311," ","integrate(1/x/log(x)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{\log\left(x\right)}"," ",0,"2*sqrt(log(x))","A",0
133,1,3,0,1.510818," ","integrate(1/x/(1+log(x)^2),x, algorithm=""maxima"")","\arctan\left(\log\left(x\right)\right)"," ",0,"arctan(log(x))","A",0
134,1,16,0,0.513273," ","integrate(1/x/(-3+log(x)^2)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, \sqrt{\log\left(x\right)^{2} - 3} + 2 \, \log\left(x\right)\right)"," ",0,"log(2*sqrt(log(x)^2 - 3) + 2*log(x))","A",0
135,1,7,0,1.223017," ","integrate(1/x/(4-9*log(x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \arcsin\left(\frac{3}{2} \, \log\left(x\right)\right)"," ",0,"1/3*arcsin(3/2*log(x))","A",0
136,1,5,0,1.364041," ","integrate(1/x/(4+log(x)^2)^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(\frac{1}{2} \, \log\left(x\right)\right)"," ",0,"arcsinh(1/2*log(x))","A",0
137,1,97,0,1.353910," ","integrate(1/x/(2+3*log(6*x)^3),x, algorithm=""maxima"")","-\frac{1}{36} \cdot 3^{\frac{2}{3}} 2^{\frac{1}{3}} \log\left(3^{\frac{2}{3}} \log\left(6 \, x\right)^{2} - 3^{\frac{1}{3}} 2^{\frac{1}{3}} \log\left(6 \, x\right) + 2^{\frac{2}{3}}\right) + \frac{1}{18} \cdot 3^{\frac{2}{3}} 2^{\frac{1}{3}} \log\left(\frac{1}{3} \cdot 3^{\frac{2}{3}} {\left(3^{\frac{1}{3}} \log\left(6 \, x\right) + 2^{\frac{1}{3}}\right)}\right) + \frac{1}{6} \cdot 3^{\frac{1}{6}} 2^{\frac{1}{3}} \arctan\left(\frac{1}{6} \cdot 3^{\frac{1}{6}} 2^{\frac{2}{3}} {\left(2 \cdot 3^{\frac{2}{3}} \log\left(6 \, x\right) - 3^{\frac{1}{3}} 2^{\frac{1}{3}}\right)}\right)"," ",0,"-1/36*3^(2/3)*2^(1/3)*log(3^(2/3)*log(6*x)^2 - 3^(1/3)*2^(1/3)*log(6*x) + 2^(2/3)) + 1/18*3^(2/3)*2^(1/3)*log(1/3*3^(2/3)*(3^(1/3)*log(6*x) + 2^(1/3))) + 1/6*3^(1/6)*2^(1/3)*arctan(1/6*3^(1/6)*2^(2/3)*(2*3^(2/3)*log(6*x) - 3^(1/3)*2^(1/3)))","A",0
138,1,9,0,0.604384," ","integrate(log(log(6*x))/x/log(6*x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\log\left(6 \, x\right)\right)^{2}"," ",0,"1/2*log(log(6*x))^2","A",0
139,1,9,0,0.582791," ","integrate(2^log(x)/x,x, algorithm=""maxima"")","\frac{2^{\log\left(x\right)}}{\log\left(2\right)}"," ",0,"2^log(x)/log(2)","A",0
140,1,12,0,0.666023," ","integrate(sin(log(x))^2/x,x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x\right) - \frac{1}{4} \, \sin\left(2 \, \log\left(x\right)\right)"," ",0,"1/2*log(x) - 1/4*sin(2*log(x))","A",0
141,1,12,0,0.632279," ","integrate((7-log(x))/x/(3+log(x)),x, algorithm=""maxima"")","-\log\left(x\right) + 10 \, \log\left(\log\left(x\right) + 3\right)"," ",0,"-log(x) + 10*log(log(x) + 3)","A",0
142,1,23,0,0.505533," ","integrate((2-log(x))*(3+log(x))^2/x,x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(x\right)^{4} - \frac{4}{3} \, \log\left(x\right)^{3} + \frac{3}{2} \, \log\left(x\right)^{2} + 18 \, \log\left(x\right)"," ",0,"-1/4*log(x)^4 - 4/3*log(x)^3 + 3/2*log(x)^2 + 18*log(x)","A",0
143,1,30,0,1.487452," ","integrate(log(x)^2*(1+log(x)^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\log\left(x\right)^{2} + 1\right)}^{\frac{3}{2}} \log\left(x\right) - \frac{1}{8} \, \sqrt{\log\left(x\right)^{2} + 1} \log\left(x\right) - \frac{1}{8} \, \operatorname{arsinh}\left(\log\left(x\right)\right)"," ",0,"1/4*(log(x)^2 + 1)^(3/2)*log(x) - 1/8*sqrt(log(x)^2 + 1)*log(x) - 1/8*arcsinh(log(x))","A",0
144,1,20,0,0.868493," ","integrate((1+log(x))/x/(3+2*log(x))^2,x, algorithm=""maxima"")","\frac{1}{4 \, {\left(2 \, \log\left(x\right) + 3\right)}} + \frac{1}{4} \, \log\left(2 \, \log\left(x\right) + 3\right)"," ",0,"1/4/(2*log(x) + 3) + 1/4*log(2*log(x) + 3)","A",0
145,1,17,0,0.583113," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{\log\left(x\right) + 1}"," ",0,"2/3*(log(x) + 1)^(3/2) - 2*sqrt(log(x) + 1)","A",0
146,1,21,0,0.754176," ","integrate(log(x)/x/(-1+4*log(x))^(1/2),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(4 \, \log\left(x\right) - 1\right)}^{\frac{3}{2}} + \frac{1}{8} \, \sqrt{4 \, \log\left(x\right) - 1}"," ",0,"1/24*(4*log(x) - 1)^(3/2) + 1/8*sqrt(4*log(x) - 1)","A",0
147,1,29,0,0.551894," ","integrate((1+log(x))^(1/2)/x/log(x),x, algorithm=""maxima"")","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
148,1,32,0,0.548895," ","integrate((1-4*log(x)+log(x)^2)/x/(-1+log(x))^4,x, algorithm=""maxima"")","-\frac{3 \, \log\left(x\right)^{2} - 9 \, \log\left(x\right) + 4}{3 \, {\left(\log\left(x\right)^{3} - 3 \, \log\left(x\right)^{2} + 3 \, \log\left(x\right) - 1\right)}}"," ",0,"-1/3*(3*log(x)^2 - 9*log(x) + 4)/(log(x)^3 - 3*log(x)^2 + 3*log(x) - 1)","A",0
149,-2,0,0,0.000000," ","integrate((log(a*x^n)^2)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
150,-2,0,0,0.000000," ","integrate((log(a*x^n)^m)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
151,1,20,0,0.625549," ","integrate((log(a*x^n)^2)^(1/2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, n \log\left(x\right)^{2} + \log\left(a\right) \log\left(x\right) + \log\left(x\right) \log\left(x^{n}\right)"," ",0,"-1/2*n*log(x)^2 + log(a)*log(x) + log(x)*log(x^n)","A",0
152,-2,0,0,0.000000," ","integrate((b*log(a*x^n)^m)^p/x,x, algorithm=""maxima"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> ECL says: In function CAR, the value of the first argument is  0which is not of the expected type LIST","F(-2)",0
153,1,5,0,0.704706," ","integrate(1/x/log(exp(x)),x, algorithm=""maxima"")","-\frac{1}{x}"," ",0,"-1/x","A",0
154,1,57,0,0.849128," ","integrate(log(x)*sin(b*x+a),x, algorithm=""maxima"")","-\frac{\cos\left(b x + a\right) \log\left(x\right)}{b} - \frac{{\left(E_{1}\left(i \, b x\right) + E_{1}\left(-i \, b x\right)\right)} \cos\left(a\right) - {\left(i \, E_{1}\left(i \, b x\right) - i \, E_{1}\left(-i \, b x\right)\right)} \sin\left(a\right)}{2 \, b}"," ",0,"-cos(b*x + a)*log(x)/b - 1/2*((exp_integral_e(1, I*b*x) + exp_integral_e(1, -I*b*x))*cos(a) - (I*exp_integral_e(1, I*b*x) - I*exp_integral_e(1, -I*b*x))*sin(a))/b","C",0
155,1,79,0,1.237745," ","integrate(log(x)*sin(b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, b x + 2 \, a - \sin\left(2 \, b x + 2 \, a\right)\right)} \log\left(x\right)}{4 \, b} - \frac{4 \, b x + {\left(i \, {\rm Ei}\left(2 i \, b x\right) - i \, {\rm Ei}\left(-2 i \, b x\right)\right)} \cos\left(2 \, a\right) + 4 \, a \log\left(x\right) - {\left({\rm Ei}\left(2 i \, b x\right) + {\rm Ei}\left(-2 i \, b x\right)\right)} \sin\left(2 \, a\right)}{8 \, b}"," ",0,"1/4*(2*b*x + 2*a - sin(2*b*x + 2*a))*log(x)/b - 1/8*(4*b*x + (I*Ei(2*I*b*x) - I*Ei(-2*I*b*x))*cos(2*a) + 4*a*log(x) - (Ei(2*I*b*x) + Ei(-2*I*b*x))*sin(2*a))/b","C",0
156,1,110,0,1.112174," ","integrate(log(x)*sin(b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(\cos\left(b x + a\right)^{3} - 3 \, \cos\left(b x + a\right)\right)} \log\left(x\right)}{3 \, b} + \frac{{\left(E_{1}\left(3 i \, b x\right) + E_{1}\left(-3 i \, b x\right)\right)} \cos\left(3 \, a\right) - 9 \, {\left(E_{1}\left(i \, b x\right) + E_{1}\left(-i \, b x\right)\right)} \cos\left(a\right) - {\left(i \, E_{1}\left(3 i \, b x\right) - i \, E_{1}\left(-3 i \, b x\right)\right)} \sin\left(3 \, a\right) - {\left(-9 i \, E_{1}\left(i \, b x\right) + 9 i \, E_{1}\left(-i \, b x\right)\right)} \sin\left(a\right)}{24 \, b}"," ",0,"1/3*(cos(b*x + a)^3 - 3*cos(b*x + a))*log(x)/b + 1/24*((exp_integral_e(1, 3*I*b*x) + exp_integral_e(1, -3*I*b*x))*cos(3*a) - 9*(exp_integral_e(1, I*b*x) + exp_integral_e(1, -I*b*x))*cos(a) - (I*exp_integral_e(1, 3*I*b*x) - I*exp_integral_e(1, -3*I*b*x))*sin(3*a) - (-9*I*exp_integral_e(1, I*b*x) + 9*I*exp_integral_e(1, -I*b*x))*sin(a))/b","C",0
157,1,55,0,1.017685," ","integrate(cos(b*x+a)*log(x),x, algorithm=""maxima"")","\frac{\log\left(x\right) \sin\left(b x + a\right)}{b} + \frac{{\left(i \, E_{1}\left(i \, b x\right) - i \, E_{1}\left(-i \, b x\right)\right)} \cos\left(a\right) + {\left(E_{1}\left(i \, b x\right) + E_{1}\left(-i \, b x\right)\right)} \sin\left(a\right)}{2 \, b}"," ",0,"log(x)*sin(b*x + a)/b + 1/2*((I*exp_integral_e(1, I*b*x) - I*exp_integral_e(1, -I*b*x))*cos(a) + (exp_integral_e(1, I*b*x) + exp_integral_e(1, -I*b*x))*sin(a))/b","C",0
158,1,76,0,1.120120," ","integrate(cos(b*x+a)^2*log(x),x, algorithm=""maxima"")","\frac{{\left(2 \, b x + 2 \, a + \sin\left(2 \, b x + 2 \, a\right)\right)} \log\left(x\right)}{4 \, b} - \frac{4 \, b x + {\left(-i \, {\rm Ei}\left(2 i \, b x\right) + i \, {\rm Ei}\left(-2 i \, b x\right)\right)} \cos\left(2 \, a\right) + 4 \, a \log\left(x\right) + {\left({\rm Ei}\left(2 i \, b x\right) + {\rm Ei}\left(-2 i \, b x\right)\right)} \sin\left(2 \, a\right)}{8 \, b}"," ",0,"1/4*(2*b*x + 2*a + sin(2*b*x + 2*a))*log(x)/b - 1/8*(4*b*x + (-I*Ei(2*I*b*x) + I*Ei(-2*I*b*x))*cos(2*a) + 4*a*log(x) + (Ei(2*I*b*x) + Ei(-2*I*b*x))*sin(2*a))/b","C",0
159,1,108,0,1.033837," ","integrate(cos(b*x+a)^3*log(x),x, algorithm=""maxima"")","-\frac{{\left(\sin\left(b x + a\right)^{3} - 3 \, \sin\left(b x + a\right)\right)} \log\left(x\right)}{3 \, b} + \frac{{\left(i \, E_{1}\left(3 i \, b x\right) - i \, E_{1}\left(-3 i \, b x\right)\right)} \cos\left(3 \, a\right) + {\left(9 i \, E_{1}\left(i \, b x\right) - 9 i \, E_{1}\left(-i \, b x\right)\right)} \cos\left(a\right) + {\left(E_{1}\left(3 i \, b x\right) + E_{1}\left(-3 i \, b x\right)\right)} \sin\left(3 \, a\right) + 9 \, {\left(E_{1}\left(i \, b x\right) + E_{1}\left(-i \, b x\right)\right)} \sin\left(a\right)}{24 \, b}"," ",0,"-1/3*(sin(b*x + a)^3 - 3*sin(b*x + a))*log(x)/b + 1/24*((I*exp_integral_e(1, 3*I*b*x) - I*exp_integral_e(1, -3*I*b*x))*cos(3*a) + (9*I*exp_integral_e(1, I*b*x) - 9*I*exp_integral_e(1, -I*b*x))*cos(a) + (exp_integral_e(1, 3*I*b*x) + exp_integral_e(1, -3*I*b*x))*sin(3*a) + 9*(exp_integral_e(1, I*b*x) + exp_integral_e(1, -I*b*x))*sin(a))/b","C",0
160,1,5,0,0.927529," ","integrate(cos(x)*log(x)+sin(x)/x,x, algorithm=""maxima"")","\log\left(x\right) \sin\left(x\right)"," ",0,"log(x)*sin(x)","A",0
161,1,87,0,2.242076," ","integrate(log(a*sin(x)),x, algorithm=""maxima"")","\frac{1}{2} i \, x^{2} - i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) + i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) + x \log\left(a \sin\left(x\right)\right) + i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"1/2*I*x^2 - I*x*arctan2(sin(x), cos(x) + 1) + I*x*arctan2(sin(x), -cos(x) + 1) - 1/2*x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) - 1/2*x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) + x*log(a*sin(x)) + I*dilog(-e^(I*x)) + I*dilog(e^(I*x))","B",0
162,1,89,0,2.323137," ","integrate(log(a*sin(x)^2),x, algorithm=""maxima"")","i \, x^{2} - 2 i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) + 2 i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) + x \log\left(a \sin\left(x\right)^{2}\right) - x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) - x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) + 2 i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + 2 i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"I*x^2 - 2*I*x*arctan2(sin(x), cos(x) + 1) + 2*I*x*arctan2(sin(x), -cos(x) + 1) + x*log(a*sin(x)^2) - x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) - x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) + 2*I*dilog(-e^(I*x)) + 2*I*dilog(e^(I*x))","B",0
163,1,91,0,2.395014," ","integrate(log(a*sin(x)^n),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) - 2 i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) - 2 i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) - 2 i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)\right)} n + x \log\left(a \sin\left(x\right)^{n}\right)"," ",0,"-1/2*(-I*x^2 + 2*I*x*arctan2(sin(x), cos(x) + 1) - 2*I*x*arctan2(sin(x), -cos(x) + 1) + x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) + x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) - 2*I*dilog(-e^(I*x)) - 2*I*dilog(e^(I*x)))*n + x*log(a*sin(x)^n)","B",0
164,1,60,0,2.223499," ","integrate(log(a*cos(x)),x, algorithm=""maxima"")","\frac{1}{2} i \, x^{2} - i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) + x \log\left(a \cos\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)"," ",0,"1/2*I*x^2 - I*x*arctan2(sin(2*x), cos(2*x) + 1) - 1/2*x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) + x*log(a*cos(x)) + 1/2*I*dilog(-e^(2*I*x))","A",0
165,1,62,0,2.546706," ","integrate(log(a*cos(x)^2),x, algorithm=""maxima"")","i \, x^{2} - 2 i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + x \log\left(a \cos\left(x\right)^{2}\right) - x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) + i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)"," ",0,"I*x^2 - 2*I*x*arctan2(sin(2*x), cos(2*x) + 1) + x*log(a*cos(x)^2) - x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) + I*dilog(-e^(2*I*x))","A",0
166,1,65,0,2.999854," ","integrate(log(a*cos(x)^n),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) - i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)\right)} n + x \log\left(a \cos\left(x\right)^{n}\right)"," ",0,"-1/2*(-I*x^2 + 2*I*x*arctan2(sin(2*x), cos(2*x) + 1) + x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) - I*dilog(-e^(2*I*x)))*n + x*log(a*cos(x)^n)","A",0
167,1,42,0,1.616636," ","integrate(log(a*tan(x)),x, algorithm=""maxima"")","x \log\left(a \tan\left(x\right)\right) + \frac{1}{4} \, \pi \log\left(\tan\left(x\right)^{2} + 1\right) - x \log\left(\tan\left(x\right)\right) + \frac{1}{2} i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) - \frac{1}{2} i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)"," ",0,"x*log(a*tan(x)) + 1/4*pi*log(tan(x)^2 + 1) - x*log(tan(x)) + 1/2*I*dilog(I*tan(x) + 1) - 1/2*I*dilog(-I*tan(x) + 1)","A",0
168,1,44,0,1.514496," ","integrate(log(a*tan(x)^2),x, algorithm=""maxima"")","x \log\left(a \tan\left(x\right)^{2}\right) + \frac{1}{2} \, \pi \log\left(\tan\left(x\right)^{2} + 1\right) - 2 \, x \log\left(\tan\left(x\right)\right) + i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) - i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)"," ",0,"x*log(a*tan(x)^2) + 1/2*pi*log(tan(x)^2 + 1) - 2*x*log(tan(x)) + I*dilog(I*tan(x) + 1) - I*dilog(-I*tan(x) + 1)","A",0
169,1,48,0,1.507282," ","integrate(log(a*tan(x)^n),x, algorithm=""maxima"")","-n x \log\left(\tan\left(x\right)\right) + \frac{1}{4} \, {\left(\pi \log\left(\tan\left(x\right)^{2} + 1\right) + 2 i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) - 2 i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)\right)} n + x \log\left(a \tan\left(x\right)^{n}\right)"," ",0,"-n*x*log(tan(x)) + 1/4*(pi*log(tan(x)^2 + 1) + 2*I*dilog(I*tan(x) + 1) - 2*I*dilog(-I*tan(x) + 1))*n + x*log(a*tan(x)^n)","A",0
170,1,43,0,1.472709," ","integrate(log(a*cot(x)),x, algorithm=""maxima"")","-\frac{1}{4} \, \pi \log\left(\tan\left(x\right)^{2} + 1\right) + x \log\left(\frac{a}{\tan\left(x\right)}\right) + x \log\left(\tan\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) + \frac{1}{2} i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)"," ",0,"-1/4*pi*log(tan(x)^2 + 1) + x*log(a/tan(x)) + x*log(tan(x)) - 1/2*I*dilog(I*tan(x) + 1) + 1/2*I*dilog(-I*tan(x) + 1)","A",0
171,1,44,0,1.365982," ","integrate(log(a*cot(x)^2),x, algorithm=""maxima"")","-\frac{1}{2} \, \pi \log\left(\tan\left(x\right)^{2} + 1\right) + x \log\left(\frac{a}{\tan\left(x\right)^{2}}\right) + 2 \, x \log\left(\tan\left(x\right)\right) - i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) + i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)"," ",0,"-1/2*pi*log(tan(x)^2 + 1) + x*log(a/tan(x)^2) + 2*x*log(tan(x)) - I*dilog(I*tan(x) + 1) + I*dilog(-I*tan(x) + 1)","A",0
172,1,49,0,1.544200," ","integrate(log(a*cot(x)^n),x, algorithm=""maxima"")","n x \log\left(\tan\left(x\right)\right) - \frac{1}{4} \, {\left(\pi \log\left(\tan\left(x\right)^{2} + 1\right) + 2 i \, {\rm Li}_2\left(i \, \tan\left(x\right) + 1\right) - 2 i \, {\rm Li}_2\left(-i \, \tan\left(x\right) + 1\right)\right)} n + x \log\left(a \frac{1}{\tan\left(x\right)}^{n}\right)"," ",0,"n*x*log(tan(x)) - 1/4*(pi*log(tan(x)^2 + 1) + 2*I*dilog(I*tan(x) + 1) - 2*I*dilog(-I*tan(x) + 1))*n + x*log(a*(1/tan(x))^n)","A",0
173,1,60,0,2.274504," ","integrate(log(a*sec(x)),x, algorithm=""maxima"")","-\frac{1}{2} i \, x^{2} + i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + \frac{1}{2} \, x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) + x \log\left(a \sec\left(x\right)\right) - \frac{1}{2} i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)"," ",0,"-1/2*I*x^2 + I*x*arctan2(sin(2*x), cos(2*x) + 1) + 1/2*x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) + x*log(a*sec(x)) - 1/2*I*dilog(-e^(2*I*x))","A",0
174,1,61,0,2.170231," ","integrate(log(a*sec(x)^2),x, algorithm=""maxima"")","-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + x \log\left(a \sec\left(x\right)^{2}\right) + x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) - i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)"," ",0,"-I*x^2 + 2*I*x*arctan2(sin(2*x), cos(2*x) + 1) + x*log(a*sec(x)^2) + x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) - I*dilog(-e^(2*I*x))","A",0
175,1,65,0,3.315640," ","integrate(log(a*sec(x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(2 \, x\right), \cos\left(2 \, x\right) + 1\right) + x \log\left(\cos\left(2 \, x\right)^{2} + \sin\left(2 \, x\right)^{2} + 2 \, \cos\left(2 \, x\right) + 1\right) - i \, {\rm Li}_2\left(-e^{\left(2 i \, x\right)}\right)\right)} n + x \log\left(a \sec\left(x\right)^{n}\right)"," ",0,"1/2*(-I*x^2 + 2*I*x*arctan2(sin(2*x), cos(2*x) + 1) + x*log(cos(2*x)^2 + sin(2*x)^2 + 2*cos(2*x) + 1) - I*dilog(-e^(2*I*x)))*n + x*log(a*sec(x)^n)","A",0
176,1,87,0,2.260177," ","integrate(log(a*csc(x)),x, algorithm=""maxima"")","-\frac{1}{2} i \, x^{2} + i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) - i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) + \frac{1}{2} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) + x \log\left(a \csc\left(x\right)\right) - i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) - i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"-1/2*I*x^2 + I*x*arctan2(sin(x), cos(x) + 1) - I*x*arctan2(sin(x), -cos(x) + 1) + 1/2*x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) + 1/2*x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) + x*log(a*csc(x)) - I*dilog(-e^(I*x)) - I*dilog(e^(I*x))","B",0
177,1,87,0,2.310076," ","integrate(log(a*csc(x)^2),x, algorithm=""maxima"")","-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) - 2 i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) + x \log\left(a \csc\left(x\right)^{2}\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) - 2 i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) - 2 i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"-I*x^2 + 2*I*x*arctan2(sin(x), cos(x) + 1) - 2*I*x*arctan2(sin(x), -cos(x) + 1) + x*log(a*csc(x)^2) + x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) + x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) - 2*I*dilog(-e^(I*x)) - 2*I*dilog(e^(I*x))","B",0
178,1,91,0,1.751274," ","integrate(log(a*csc(x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(-i \, x^{2} + 2 i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) - 2 i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) + x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) - 2 i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) - 2 i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)\right)} n + x \log\left(a \csc\left(x\right)^{n}\right)"," ",0,"1/2*(-I*x^2 + 2*I*x*arctan2(sin(x), cos(x) + 1) - 2*I*x*arctan2(sin(x), -cos(x) + 1) + x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) + x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) - 2*I*dilog(-e^(I*x)) - 2*I*dilog(e^(I*x)))*n + x*log(a*csc(x)^n)","B",0
179,1,17,0,0.452000," ","integrate(cos(x)*log(1/2-1/2*cos(2*x)),x, algorithm=""maxima"")","\log\left(-\frac{1}{2} \, \cos\left(2 \, x\right) + \frac{1}{2}\right) \sin\left(x\right) - 2 \, \sin\left(x\right)"," ",0,"log(-1/2*cos(2*x) + 1/2)*sin(x) - 2*sin(x)","A",0
180,1,6,0,0.443707," ","integrate(cot(x)/log(E*sin(x)),x, algorithm=""maxima"")","\log\left(\log\left(E \sin\left(x\right)\right)\right)"," ",0,"log(log(E*sin(x)))","A",0
181,1,6,0,0.451193," ","integrate(cot(x)/log(exp(sin(x))),x, algorithm=""maxima"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
182,1,94,0,0.998949," ","integrate(log(cos(x))*sec(x)^2,x, algorithm=""maxima"")","-\frac{2 \, \log\left(-\frac{\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} - 1}{\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1}\right) \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(x\right) + 1\right)}} - \frac{2 \, \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} - 1\right)} {\left(\cos\left(x\right) + 1\right)}} - 2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)"," ",0,"-2*log(-(sin(x)^2/(cos(x) + 1)^2 - 1)/(sin(x)^2/(cos(x) + 1)^2 + 1))*sin(x)/((sin(x)^2/(cos(x) + 1)^2 - 1)*(cos(x) + 1)) - 2*sin(x)/((sin(x)^2/(cos(x) + 1)^2 - 1)*(cos(x) + 1)) - 2*arctan(sin(x)/(cos(x) + 1))","B",0
183,1,7,0,0.446706," ","integrate(cot(x)*log(sin(x)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(\sin\left(x\right)\right)^{2}"," ",0,"1/2*log(sin(x))^2","A",0
184,1,16,0,0.447451," ","integrate(cos(x)*log(sin(x))*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(\sin\left(x\right)\right) \sin\left(x\right)^{3} - \frac{1}{9} \, \sin\left(x\right)^{3}"," ",0,"1/3*log(sin(x))*sin(x)^3 - 1/9*sin(x)^3","A",0
185,1,42,0,0.540919," ","integrate(cos(b*x+a)*log(cos(1/2*a+1/2*b*x)*sin(1/2*a+1/2*b*x)),x, algorithm=""maxima"")","\frac{\log\left(\cos\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sin\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) \sin\left(b x + a\right)}{b} - \frac{\sin\left(b x + a\right)}{b}"," ",0,"log(cos(1/2*b*x + 1/2*a)*sin(1/2*b*x + 1/2*a))*sin(b*x + a)/b - sin(b*x + a)/b","A",0
186,1,6,0,0.441901," ","integrate(tan(x)/log(cos(x)),x, algorithm=""maxima"")","-\log\left(\log\left(\cos\left(x\right)\right)\right)"," ",0,"-log(log(cos(x)))","A",0
187,1,7,0,0.443010," ","integrate(log(cos(x))*tan(x),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(\cos\left(x\right)\right)^{2}"," ",0,"-1/2*log(cos(x))^2","A",0
188,1,10,0,0.441309," ","integrate(log(cos(x))*sin(x),x, algorithm=""maxima"")","-\cos\left(x\right) \log\left(\cos\left(x\right)\right) + \cos\left(x\right)"," ",0,"-cos(x)*log(cos(x)) + cos(x)","A",0
189,1,108,0,0.452975," ","integrate(cos(x)*log(cos(x)),x, algorithm=""maxima"")","\frac{2 \, \log\left(-\frac{\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} - 1}{\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1}\right) \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}} - \frac{2 \, \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}} + \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} + 1\right) - \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} - 1\right)"," ",0,"2*log(-(sin(x)^2/(cos(x) + 1)^2 - 1)/(sin(x)^2/(cos(x) + 1)^2 + 1))*sin(x)/((sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1)) - 2*sin(x)/((sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1)) + log(sin(x)/(cos(x) + 1) + 1) - log(sin(x)/(cos(x) + 1) - 1)","B",0
190,1,11,0,0.442198," ","integrate(cos(x)*log(sin(x)),x, algorithm=""maxima"")","\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
191,1,104,0,1.941790," ","integrate(log(sin(x))*sin(x)^2,x, algorithm=""maxima"")","\frac{1}{4} i \, x^{2} - \frac{1}{2} i \, x \arctan\left(\sin\left(x\right), \cos\left(x\right) + 1\right) + \frac{1}{2} i \, x \arctan\left(\sin\left(x\right), -\cos\left(x\right) + 1\right) - \frac{1}{4} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) - \frac{1}{4} \, x \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) + \frac{1}{4} \, {\left(2 \, x - \sin\left(2 \, x\right)\right)} \log\left(\sin\left(x\right)\right) + \frac{1}{4} \, x + \frac{1}{2} i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + \frac{1}{2} i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right) + \frac{1}{8} \, \sin\left(2 \, x\right)"," ",0,"1/4*I*x^2 - 1/2*I*x*arctan2(sin(x), cos(x) + 1) + 1/2*I*x*arctan2(sin(x), -cos(x) + 1) - 1/4*x*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) - 1/4*x*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) + 1/4*(2*x - sin(2*x))*log(sin(x)) + 1/4*x + 1/2*I*dilog(-e^(I*x)) + 1/2*I*dilog(e^(I*x)) + 1/8*sin(2*x)","B",0
192,1,179,0,0.459446," ","integrate(log(sin(x))*sin(x)^3,x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{3 \, \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} \log\left(\frac{2 \, \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}}\right)}{3 \, {\left(\frac{3 \, \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + \frac{3 \, \sin\left(x\right)^{4}}{{\left(\cos\left(x\right) + 1\right)}^{4}} + \frac{\sin\left(x\right)^{6}}{{\left(\cos\left(x\right) + 1\right)}^{6}} + 1\right)}} + \frac{2 \, {\left(\frac{12 \, \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + \frac{3 \, \sin\left(x\right)^{4}}{{\left(\cos\left(x\right) + 1\right)}^{4}} + 5\right)}}{9 \, {\left(\frac{3 \, \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + \frac{3 \, \sin\left(x\right)^{4}}{{\left(\cos\left(x\right) + 1\right)}^{4}} + \frac{\sin\left(x\right)^{6}}{{\left(\cos\left(x\right) + 1\right)}^{6}} + 1\right)}} - \frac{2}{3} \, \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right) + \frac{2}{3} \, \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}}\right)"," ",0,"-4/3*(3*sin(x)^2/(cos(x) + 1)^2 + 1)*log(2*sin(x)/((sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1)))/(3*sin(x)^2/(cos(x) + 1)^2 + 3*sin(x)^4/(cos(x) + 1)^4 + sin(x)^6/(cos(x) + 1)^6 + 1) + 2/9*(12*sin(x)^2/(cos(x) + 1)^2 + 3*sin(x)^4/(cos(x) + 1)^4 + 5)/(3*sin(x)^2/(cos(x) + 1)^2 + 3*sin(x)^4/(cos(x) + 1)^4 + sin(x)^6/(cos(x) + 1)^6 + 1) - 2/3*log(sin(x)^2/(cos(x) + 1)^2 + 1) + 2/3*log(sin(x)^2/(cos(x) + 1)^2)","B",0
193,1,139,0,0.507318," ","integrate(log(sin(x^(1/2))),x, algorithm=""maxima"")","-i \, x \arctan\left(\sin\left(\sqrt{x}\right), \cos\left(\sqrt{x}\right) + 1\right) + i \, x \arctan\left(\sin\left(\sqrt{x}\right), -\cos\left(\sqrt{x}\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(\sqrt{x}\right)^{2} + \sin\left(\sqrt{x}\right)^{2} + 2 \, \cos\left(\sqrt{x}\right) + 1\right) - \frac{1}{2} \, x \log\left(\cos\left(\sqrt{x}\right)^{2} + \sin\left(\sqrt{x}\right)^{2} - 2 \, \cos\left(\sqrt{x}\right) + 1\right) + x \log\left(\sin\left(\sqrt{x}\right)\right) + \frac{1}{3} i \, x^{\frac{3}{2}} + 2 i \, \sqrt{x} {\rm Li}_2\left(-e^{\left(i \, \sqrt{x}\right)}\right) + 2 i \, \sqrt{x} {\rm Li}_2\left(e^{\left(i \, \sqrt{x}\right)}\right) - 2 \, {\rm Li}_{3}(-e^{\left(i \, \sqrt{x}\right)}) - 2 \, {\rm Li}_{3}(e^{\left(i \, \sqrt{x}\right)})"," ",0,"-I*x*arctan2(sin(sqrt(x)), cos(sqrt(x)) + 1) + I*x*arctan2(sin(sqrt(x)), -cos(sqrt(x)) + 1) - 1/2*x*log(cos(sqrt(x))^2 + sin(sqrt(x))^2 + 2*cos(sqrt(x)) + 1) - 1/2*x*log(cos(sqrt(x))^2 + sin(sqrt(x))^2 - 2*cos(sqrt(x)) + 1) + x*log(sin(sqrt(x))) + 1/3*I*x^(3/2) + 2*I*sqrt(x)*dilog(-e^(I*sqrt(x))) + 2*I*sqrt(x)*dilog(e^(I*sqrt(x))) - 2*polylog(3, -e^(I*sqrt(x))) - 2*polylog(3, e^(I*sqrt(x)))","B",0
194,1,81,0,0.991463," ","integrate(csc(x)^2*log(sin(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(\frac{\cos\left(x\right) + 1}{\sin\left(x\right)} - \frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)} \log\left(\frac{2 \, \sin\left(x\right)}{{\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(x\right) + 1\right)}}\right) - \frac{\cos\left(x\right) + 1}{2 \, \sin\left(x\right)} + \frac{\sin\left(x\right)}{2 \, {\left(\cos\left(x\right) + 1\right)}} - 2 \, \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)"," ",0,"-1/2*((cos(x) + 1)/sin(x) - sin(x)/(cos(x) + 1))*log(2*sin(x)/((sin(x)^2/(cos(x) + 1)^2 + 1)*(cos(x) + 1))) - 1/2*(cos(x) + 1)/sin(x) + 1/2*sin(x)/(cos(x) + 1) - 2*arctan(sin(x)/(cos(x) + 1))","B",0
195,1,36,0,0.687338," ","integrate(log(x)*sinh(b*x+a),x, algorithm=""maxima"")","\frac{\cosh\left(b x + a\right) \log\left(x\right)}{b} - \frac{{\rm Ei}\left(-b x\right) e^{\left(-a\right)} + {\rm Ei}\left(b x\right) e^{a}}{2 \, b}"," ",0,"cosh(b*x + a)*log(x)/b - 1/2*(Ei(-b*x)*e^(-a) + Ei(b*x)*e^a)/b","A",0
196,1,67,0,0.689430," ","integrate(log(x)*sinh(b*x+a)^2,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(4 \, x - \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} + \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)} \log\left(x\right) + \frac{1}{2} \, x - \frac{{\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)}}{8 \, b} + \frac{{\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)}}{8 \, b}"," ",0,"-1/8*(4*x - e^(2*b*x + 2*a)/b + e^(-2*b*x - 2*a)/b)*log(x) + 1/2*x - 1/8*Ei(2*b*x)*e^(2*a)/b + 1/8*Ei(-2*b*x)*e^(-2*a)/b","A",0
197,1,110,0,0.772170," ","integrate(log(x)*sinh(b*x+a)^3,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} - \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} + \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{{\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)}}{24 \, b} + \frac{3 \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)}}{8 \, b} - \frac{{\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)}}{24 \, b} + \frac{3 \, {\rm Ei}\left(b x\right) e^{a}}{8 \, b}"," ",0,"1/24*(e^(3*b*x + 3*a)/b - 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b + e^(-3*b*x - 3*a)/b)*log(x) - 1/24*Ei(3*b*x)*e^(3*a)/b + 3/8*Ei(-b*x)*e^(-a)/b - 1/24*Ei(-3*b*x)*e^(-3*a)/b + 3/8*Ei(b*x)*e^a/b","A",0
198,1,37,0,1.225039," ","integrate(cosh(b*x+a)*log(x),x, algorithm=""maxima"")","\frac{\log\left(x\right) \sinh\left(b x + a\right)}{b} + \frac{{\rm Ei}\left(-b x\right) e^{\left(-a\right)} - {\rm Ei}\left(b x\right) e^{a}}{2 \, b}"," ",0,"log(x)*sinh(b*x + a)/b + 1/2*(Ei(-b*x)*e^(-a) - Ei(b*x)*e^a)/b","A",0
199,1,67,0,0.684351," ","integrate(cosh(b*x+a)^2*log(x),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, x + \frac{e^{\left(2 \, b x + 2 \, a\right)}}{b} - \frac{e^{\left(-2 \, b x - 2 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{1}{2} \, x - \frac{{\rm Ei}\left(2 \, b x\right) e^{\left(2 \, a\right)}}{8 \, b} + \frac{{\rm Ei}\left(-2 \, b x\right) e^{\left(-2 \, a\right)}}{8 \, b}"," ",0,"1/8*(4*x + e^(2*b*x + 2*a)/b - e^(-2*b*x - 2*a)/b)*log(x) - 1/2*x - 1/8*Ei(2*b*x)*e^(2*a)/b + 1/8*Ei(-2*b*x)*e^(-2*a)/b","A",0
200,1,111,0,0.770741," ","integrate(cosh(b*x+a)^3*log(x),x, algorithm=""maxima"")","\frac{1}{24} \, {\left(\frac{e^{\left(3 \, b x + 3 \, a\right)}}{b} + \frac{9 \, e^{\left(b x + a\right)}}{b} - \frac{9 \, e^{\left(-b x - a\right)}}{b} - \frac{e^{\left(-3 \, b x - 3 \, a\right)}}{b}\right)} \log\left(x\right) - \frac{{\rm Ei}\left(3 \, b x\right) e^{\left(3 \, a\right)}}{24 \, b} + \frac{3 \, {\rm Ei}\left(-b x\right) e^{\left(-a\right)}}{8 \, b} + \frac{{\rm Ei}\left(-3 \, b x\right) e^{\left(-3 \, a\right)}}{24 \, b} - \frac{3 \, {\rm Ei}\left(b x\right) e^{a}}{8 \, b}"," ",0,"1/24*(e^(3*b*x + 3*a)/b + 9*e^(b*x + a)/b - 9*e^(-b*x - a)/b - e^(-3*b*x - 3*a)/b)*log(x) - 1/24*Ei(3*b*x)*e^(3*a)/b + 3/8*Ei(-b*x)*e^(-a)/b + 1/24*Ei(-3*b*x)*e^(-3*a)/b - 3/8*Ei(b*x)*e^a/b","A",0
201,1,43,0,0.645787," ","integrate(log(a*sinh(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x \log\left(a \sinh\left(x\right)\right) - x \log\left(e^{x} + 1\right) - x \log\left(-e^{x} + 1\right) - {\rm Li}_2\left(-e^{x}\right) - {\rm Li}_2\left(e^{x}\right)"," ",0,"1/2*x^2 + x*log(a*sinh(x)) - x*log(e^x + 1) - x*log(-e^x + 1) - dilog(-e^x) - dilog(e^x)","A",0
202,1,43,0,0.646949," ","integrate(log(a*sinh(x)^2),x, algorithm=""maxima"")","x^{2} + x \log\left(a \sinh\left(x\right)^{2}\right) - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)"," ",0,"x^2 + x*log(a*sinh(x)^2) - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) - 2*dilog(-e^x) - 2*dilog(e^x)","A",0
203,1,47,0,0.650359," ","integrate(log(a*sinh(x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{2} - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)\right)} n + x \log\left(a \sinh\left(x\right)^{n}\right)"," ",0,"1/2*(x^2 - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) - 2*dilog(-e^x) - 2*dilog(e^x))*n + x*log(a*sinh(x)^n)","A",0
204,1,32,0,1.145701," ","integrate(log(a*cosh(x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + x \log\left(a \cosh\left(x\right)\right) - x \log\left(e^{\left(2 \, x\right)} + 1\right) - \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)"," ",0,"1/2*x^2 + x*log(a*cosh(x)) - x*log(e^(2*x) + 1) - 1/2*dilog(-e^(2*x))","A",0
205,1,32,0,1.151414," ","integrate(log(a*cosh(x)^2),x, algorithm=""maxima"")","x^{2} + x \log\left(a \cosh\left(x\right)^{2}\right) - 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)"," ",0,"x^2 + x*log(a*cosh(x)^2) - 2*x*log(e^(2*x) + 1) - dilog(-e^(2*x))","A",0
206,1,36,0,1.150887," ","integrate(log(a*cosh(x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{2} - 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)\right)} n + x \log\left(a \cosh\left(x\right)^{n}\right)"," ",0,"1/2*(x^2 - 2*x*log(e^(2*x) + 1) - dilog(-e^(2*x)))*n + x*log(a*cosh(x)^n)","A",0
207,1,54,0,1.020686," ","integrate(log(tanh(x)),x, algorithm=""maxima"")","x \log\left(e^{\left(2 \, x\right)} + 1\right) - x \log\left(e^{x} + 1\right) - x \log\left(-e^{x} + 1\right) + x \log\left(\tanh\left(x\right)\right) + \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) - {\rm Li}_2\left(-e^{x}\right) - {\rm Li}_2\left(e^{x}\right)"," ",0,"x*log(e^(2*x) + 1) - x*log(e^x + 1) - x*log(-e^x + 1) + x*log(tanh(x)) + 1/2*dilog(-e^(2*x)) - dilog(-e^x) - dilog(e^x)","A",0
208,1,56,0,1.023920," ","integrate(log(a*tanh(x)),x, algorithm=""maxima"")","x \log\left(a \tanh\left(x\right)\right) + x \log\left(e^{\left(2 \, x\right)} + 1\right) - x \log\left(e^{x} + 1\right) - x \log\left(-e^{x} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) - {\rm Li}_2\left(-e^{x}\right) - {\rm Li}_2\left(e^{x}\right)"," ",0,"x*log(a*tanh(x)) + x*log(e^(2*x) + 1) - x*log(e^x + 1) - x*log(-e^x + 1) + 1/2*dilog(-e^(2*x)) - dilog(-e^x) - dilog(e^x)","A",0
209,1,57,0,1.022832," ","integrate(log(a*tanh(x)^2),x, algorithm=""maxima"")","x \log\left(a \tanh\left(x\right)^{2}\right) + 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)"," ",0,"x*log(a*tanh(x)^2) + 2*x*log(e^(2*x) + 1) - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) + dilog(-e^(2*x)) - 2*dilog(-e^x) - 2*dilog(e^x)","A",0
210,1,61,0,1.026761," ","integrate(log(a*tanh(x)^n),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)\right)} n + x \log\left(a \tanh\left(x\right)^{n}\right)"," ",0,"1/2*(2*x*log(e^(2*x) + 1) - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) + dilog(-e^(2*x)) - 2*dilog(-e^x) - 2*dilog(e^x))*n + x*log(a*tanh(x)^n)","A",0
211,1,49,0,1.022356," ","integrate(log(coth(x)),x, algorithm=""maxima"")","-x \log\left(e^{\left(2 \, x\right)} + 1\right) + x \log\left(e^{x} + 1\right) + x \log\left(-e^{x} + 1\right) + x \log\left(\coth\left(x\right)\right) - \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) + {\rm Li}_2\left(-e^{x}\right) + {\rm Li}_2\left(e^{x}\right)"," ",0,"-x*log(e^(2*x) + 1) + x*log(e^x + 1) + x*log(-e^x + 1) + x*log(coth(x)) - 1/2*dilog(-e^(2*x)) + dilog(-e^x) + dilog(e^x)","A",0
212,1,51,0,1.009979," ","integrate(log(a*coth(x)),x, algorithm=""maxima"")","x \log\left(a \coth\left(x\right)\right) - x \log\left(e^{\left(2 \, x\right)} + 1\right) + x \log\left(e^{x} + 1\right) + x \log\left(-e^{x} + 1\right) - \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) + {\rm Li}_2\left(-e^{x}\right) + {\rm Li}_2\left(e^{x}\right)"," ",0,"x*log(a*coth(x)) - x*log(e^(2*x) + 1) + x*log(e^x + 1) + x*log(-e^x + 1) - 1/2*dilog(-e^(2*x)) + dilog(-e^x) + dilog(e^x)","A",0
213,1,59,0,1.024349," ","integrate(log(a*coth(x)^2),x, algorithm=""maxima"")","x \log\left(a \coth\left(x\right)^{2}\right) - 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) + 2 \, x \log\left(e^{x} + 1\right) + 2 \, x \log\left(-e^{x} + 1\right) - {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) + 2 \, {\rm Li}_2\left(-e^{x}\right) + 2 \, {\rm Li}_2\left(e^{x}\right)"," ",0,"x*log(a*coth(x)^2) - 2*x*log(e^(2*x) + 1) + 2*x*log(e^x + 1) + 2*x*log(-e^x + 1) - dilog(-e^(2*x)) + 2*dilog(-e^x) + 2*dilog(e^x)","A",0
214,1,61,0,1.025382," ","integrate(log(a*coth(x)^n),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)\right)} n + x \log\left(a \coth\left(x\right)^{n}\right)"," ",0,"-1/2*(2*x*log(e^(2*x) + 1) - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) + dilog(-e^(2*x)) - 2*dilog(-e^x) - 2*dilog(e^x))*n + x*log(a*coth(x)^n)","A",0
215,1,31,0,1.149623," ","integrate(log(a*sech(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + x \log\left(a \operatorname{sech}\left(x\right)\right) + x \log\left(e^{\left(2 \, x\right)} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)"," ",0,"-1/2*x^2 + x*log(a*sech(x)) + x*log(e^(2*x) + 1) + 1/2*dilog(-e^(2*x))","A",0
216,1,32,0,1.152793," ","integrate(log(a*sech(x)^2),x, algorithm=""maxima"")","-x^{2} + x \log\left(a \operatorname{sech}\left(x\right)^{2}\right) + 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) + {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)"," ",0,"-x^2 + x*log(a*sech(x)^2) + 2*x*log(e^(2*x) + 1) + dilog(-e^(2*x))","A",0
217,1,36,0,1.152104," ","integrate(log(a*sech(x)^n),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x^{2} - 2 \, x \log\left(e^{\left(2 \, x\right)} + 1\right) - {\rm Li}_2\left(-e^{\left(2 \, x\right)}\right)\right)} n + x \log\left(a \operatorname{sech}\left(x\right)^{n}\right)"," ",0,"-1/2*(x^2 - 2*x*log(e^(2*x) + 1) - dilog(-e^(2*x)))*n + x*log(a*sech(x)^n)","A",0
218,1,37,0,0.649181," ","integrate(log(a*csch(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + x \log\left(a \operatorname{csch}\left(x\right)\right) + x \log\left(e^{x} + 1\right) + x \log\left(-e^{x} + 1\right) + {\rm Li}_2\left(-e^{x}\right) + {\rm Li}_2\left(e^{x}\right)"," ",0,"-1/2*x^2 + x*log(a*csch(x)) + x*log(e^x + 1) + x*log(-e^x + 1) + dilog(-e^x) + dilog(e^x)","A",0
219,1,45,0,0.646353," ","integrate(log(a*csch(x)^2),x, algorithm=""maxima"")","-x^{2} + x \log\left(a \operatorname{csch}\left(x\right)^{2}\right) + 2 \, x \log\left(e^{x} + 1\right) + 2 \, x \log\left(-e^{x} + 1\right) + 2 \, {\rm Li}_2\left(-e^{x}\right) + 2 \, {\rm Li}_2\left(e^{x}\right)"," ",0,"-x^2 + x*log(a*csch(x)^2) + 2*x*log(e^x + 1) + 2*x*log(-e^x + 1) + 2*dilog(-e^x) + 2*dilog(e^x)","A",0
220,1,47,0,0.646755," ","integrate(log(a*csch(x)^n),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x^{2} - 2 \, x \log\left(e^{x} + 1\right) - 2 \, x \log\left(-e^{x} + 1\right) - 2 \, {\rm Li}_2\left(-e^{x}\right) - 2 \, {\rm Li}_2\left(e^{x}\right)\right)} n + x \log\left(a \operatorname{csch}\left(x\right)^{n}\right)"," ",0,"-1/2*(x^2 - 2*x*log(e^x + 1) - 2*x*log(-e^x + 1) - 2*dilog(-e^x) - 2*dilog(e^x))*n + x*log(a*csch(x)^n)","A",0
221,1,112,0,0.512022," ","integrate(cosh(b*x+a)*log(cosh(1/2*a+1/2*b*x)*sinh(1/2*a+1/2*b*x)),x, algorithm=""maxima"")","\frac{\log\left(\cosh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right) \sinh\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)\right) \sinh\left(b x + a\right)}{b} - \frac{b {\left(\frac{2 \, {\left(b x + a\right)}}{b} + \frac{e^{\left(b x + a\right)}}{b} - \frac{e^{\left(-b x - a\right)}}{b}\right)} - b {\left(\frac{2 \, {\left(b x + a\right)}}{b} - \frac{e^{\left(b x + a\right)}}{b} + \frac{e^{\left(-b x - a\right)}}{b}\right)}}{4 \, b}"," ",0,"log(cosh(1/2*b*x + 1/2*a)*sinh(1/2*b*x + 1/2*a))*sinh(b*x + a)/b - 1/4*(b*(2*(b*x + a)/b + e^(b*x + a)/b - e^(-b*x - a)/b) - b*(2*(b*x + a)/b - e^(b*x + a)/b + e^(-b*x - a)/b))/b","B",0
222,1,12,0,0.439770," ","integrate(log(cosh(x)^2)*sinh(x),x, algorithm=""maxima"")","2 \, \cosh\left(x\right) \log\left(\cosh\left(x\right)\right) - 2 \, \cosh\left(x\right)"," ",0,"2*cosh(x)*log(cosh(x)) - 2*cosh(x)","A",0
223,1,13,0,0.443565," ","integrate(log(x)/x^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x} \log\left(x\right) - 4 \, \sqrt{x}"," ",0,"2*sqrt(x)*log(x) - 4*sqrt(x)","A",0
224,1,24,0,0.443505," ","integrate(x*log(-3*x^2+2),x, algorithm=""maxima"")","-\frac{1}{2} \, x^{2} + \frac{1}{6} \, {\left(3 \, x^{2} - 2\right)} \log\left(-3 \, x^{2} + 2\right) + \frac{1}{3}"," ",0,"-1/2*x^2 + 1/6*(3*x^2 - 2)*log(-3*x^2 + 2) + 1/3","A",0
225,1,3,0,0.982439," ","integrate(1/x/(1-log(x)^2)^(1/2),x, algorithm=""maxima"")","\arcsin\left(\log\left(x\right)\right)"," ",0,"arcsin(log(x))","A",0
226,1,17,0,0.443364," ","integrate(16*x^3*log(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(8 \, \log\left(x\right)^{2} - 4 \, \log\left(x\right) + 1\right)} x^{4}"," ",0,"1/2*(8*log(x)^2 - 4*log(x) + 1)*x^4","A",0
227,1,23,0,0.443135," ","integrate(1/2*log(b*x+a),x, algorithm=""maxima"")","-\frac{b x - {\left(b x + a\right)} \log\left(b x + a\right) + a}{2 \, b}"," ",0,"-1/2*(b*x - (b*x + a)*log(b*x + a) + a)/b","A",0
228,1,24,0,0.443592," ","integrate(1/2*x*log(2+x),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} \log\left(x + 2\right) - \frac{1}{8} \, x^{2} + \frac{1}{2} \, x - \log\left(x + 2\right)"," ",0,"1/4*x^2*log(x + 2) - 1/8*x^2 + 1/2*x - log(x + 2)","A",0
229,1,28,0,0.441488," ","integrate(1/3*x*log(1+3*x),x, algorithm=""maxima"")","\frac{1}{6} \, x^{2} \log\left(3 \, x + 1\right) - \frac{1}{12} \, x^{2} + \frac{1}{18} \, x - \frac{1}{54} \, \log\left(3 \, x + 1\right)"," ",0,"1/6*x^2*log(3*x + 1) - 1/12*x^2 + 1/18*x - 1/54*log(3*x + 1)","A",0
230,1,25,0,0.988219," ","integrate(x*log(x^3+x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(x^{3} + x\right) - \frac{3}{4} \, x^{2} + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2*log(x^3 + x) - 3/4*x^2 + 1/2*log(x^2 + 1)","A",0
231,0,0,0,0.000000," ","integrate(log(x+(x^2+1)^(1/2)),x, algorithm=""maxima"")","x \log\left(x + \sqrt{x^{2} + 1}\right) - x + \arctan\left(x\right) - \int \frac{x}{x^{3} + {\left(x^{2} + 1\right)}^{\frac{3}{2}} + x}\,{d x}"," ",0,"x*log(x + sqrt(x^2 + 1)) - x + arctan(x) - integrate(x/(x^3 + (x^2 + 1)^(3/2) + x), x)","F",0
232,0,0,0,0.000000," ","integrate(log(x+(x^2-1)^(1/2)),x, algorithm=""maxima"")","x \log\left(\sqrt{x + 1} \sqrt{x - 1} + x\right) - x + \int \frac{x}{x^{3} + {\left(x^{2} - 1\right)} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)\right)} - x}\,{d x} + \frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"x*log(sqrt(x + 1)*sqrt(x - 1) + x) - x + integrate(x/(x^3 + (x^2 - 1)*e^(1/2*log(x + 1) + 1/2*log(x - 1)) - x), x) + 1/2*log(x + 1) - 1/2*log(x - 1)","F",0
233,0,0,0,0.000000," ","integrate(log(x-(x^2-1)^(1/2)),x, algorithm=""maxima"")","x \log\left(-\sqrt{x + 1} \sqrt{x - 1} + x\right) - x - \int -\frac{x}{x^{3} - {\left(x^{2} - 1\right)} e^{\left(\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)\right)} - x}\,{d x} + \frac{1}{2} \, \log\left(x + 1\right) - \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"x*log(-sqrt(x + 1)*sqrt(x - 1) + x) - x - integrate(-x/(x^3 - (x^2 - 1)*e^(1/2*log(x + 1) + 1/2*log(x - 1)) - x), x) + 1/2*log(x + 1) - 1/2*log(x - 1)","F",0
234,0,0,0,0.000000," ","integrate(log(x^(1/2)+(1+x)^(1/2)),x, algorithm=""maxima"")","x \log\left(\sqrt{x + 1} + \sqrt{x}\right) - \frac{1}{2} \, x - \int \frac{x}{2 \, {\left(x^{2} + {\left(x^{\frac{3}{2}} + \sqrt{x}\right)} \sqrt{x + 1} + x\right)}}\,{d x} + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"x*log(sqrt(x + 1) + sqrt(x)) - 1/2*x - integrate(1/2*x/(x^2 + (x^(3/2) + sqrt(x))*sqrt(x + 1) + x), x) + 1/2*log(x + 1)","F",0
235,1,13,0,0.444600," ","integrate(x^(1/3)*log(x),x, algorithm=""maxima"")","\frac{3}{4} \, x^{\frac{4}{3}} \log\left(x\right) - \frac{9}{16} \, x^{\frac{4}{3}}"," ",0,"3/4*x^(4/3)*log(x) - 9/16*x^(4/3)","A",0
236,1,24,0,0.524690," ","integrate(2^log(x),x, algorithm=""maxima"")","\frac{2^{{\left(\frac{1}{\log\left(2\right)} + 1\right)} \log\left(x\right)}}{{\left(\frac{1}{\log\left(2\right)} + 1\right)} \log\left(2\right)}"," ",0,"2^((1/log(2) + 1)*log(x))/((1/log(2) + 1)*log(2))","A",0
237,1,14,0,0.762821," ","integrate((1-log(x))/x^2,x, algorithm=""maxima"")","\frac{\log\left(x\right) + 1}{x} - \frac{1}{x}"," ",0,"(log(x) + 1)/x - 1/x","B",0
238,1,33,0,0.630238," ","integrate(log(1+x+(1+x)^(1/2)),x, algorithm=""maxima"")","{\left(x + 1\right)} \log\left(x + \sqrt{x + 1} + 1\right) - x + \sqrt{x + 1} - \log\left(\sqrt{x + 1} + 1\right) - 1"," ",0,"(x + 1)*log(x + sqrt(x + 1) + 1) - x + sqrt(x + 1) - log(sqrt(x + 1) + 1) - 1","A",0
239,1,16,0,1.547139," ","integrate(log(x^3+x),x, algorithm=""maxima"")","x \log\left(x^{3} + x\right) - 3 \, x + 2 \, \arctan\left(x\right)"," ",0,"x*log(x^3 + x) - 3*x + 2*arctan(x)","A",0
240,1,29,0,0.590143," ","integrate(2^log(-8+7*x),x, algorithm=""maxima"")","\frac{2^{{\left(\frac{1}{\log\left(2\right)} + 1\right)} \log\left(7 \, x - 8\right)}}{7 \, {\left(\frac{1}{\log\left(2\right)} + 1\right)} \log\left(2\right)}"," ",0,"1/7*2^((1/log(2) + 1)*log(7*x - 8))/((1/log(2) + 1)*log(2))","A",0
241,1,33,0,0.610592," ","integrate(log((-11+5*x)/(5+76*x)),x, algorithm=""maxima"")","x \log\left(\frac{5 \, x - 11}{76 \, x + 5}\right) - \frac{5}{76} \, \log\left(76 \, x + 5\right) - \frac{11}{5} \, \log\left(5 \, x - 11\right)"," ",0,"x*log((5*x - 11)/(76*x + 5)) - 5/76*log(76*x + 5) - 11/5*log(5*x - 11)","A",0
242,1,12,0,0.607564," ","integrate(log(1/(13+x)),x, algorithm=""maxima"")","-{\left(x + 13\right)} \log\left(x + 13\right) + x + 13"," ",0,"-(x + 13)*log(x + 13) + x + 13","A",0
243,1,28,0,0.773973," ","integrate(x*log((1+x)/x^2),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(\frac{x + 1}{x^{2}}\right) + \frac{1}{4} \, x^{2} + \frac{1}{2} \, x - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*x^2*log((x + 1)/x^2) + 1/4*x^2 + 1/2*x - 1/2*log(x + 1)","A",0
244,1,42,0,0.682729," ","integrate(x^3*log((7+5*x)/x^2),x, algorithm=""maxima"")","\frac{1}{4} \, x^{4} \log\left(\frac{5 \, x + 7}{x^{2}}\right) + \frac{1}{16} \, x^{4} + \frac{7}{60} \, x^{3} - \frac{49}{200} \, x^{2} + \frac{343}{500} \, x - \frac{2401}{2500} \, \log\left(5 \, x + 7\right)"," ",0,"1/4*x^4*log((5*x + 7)/x^2) + 1/16*x^4 + 7/60*x^3 - 49/200*x^2 + 343/500*x - 2401/2500*log(5*x + 7)","A",0
245,1,52,0,0.570096," ","integrate((b*x+a)*log(b*x+a),x, algorithm=""maxima"")","\frac{1}{4} \, b {\left(\frac{2 \, a^{2} \log\left(b x + a\right)}{b^{2}} - \frac{b x^{2} + 2 \, a x}{b}\right)} + \frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} \log\left(b x + a\right)"," ",0,"1/4*b*(2*a^2*log(b*x + a)/b^2 - (b*x^2 + 2*a*x)/b) + 1/2*(b*x^2 + 2*a*x)*log(b*x + a)","A",0
246,1,74,0,0.598712," ","integrate((b*x+a)^2*log(b*x+a),x, algorithm=""maxima"")","\frac{1}{9} \, {\left(\frac{3 \, a^{3} \log\left(b x + a\right)}{b^{2}} - \frac{b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x}{b}\right)} b + \frac{1}{3} \, {\left(b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x\right)} \log\left(b x + a\right)"," ",0,"1/9*(3*a^3*log(b*x + a)/b^2 - (b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)/b)*b + 1/3*(b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)*log(b*x + a)","B",0
247,1,13,0,0.697189," ","integrate(log(b*x+a)/(b*x+a),x, algorithm=""maxima"")","\frac{\log\left(b x + a\right)^{2}}{2 \, b}"," ",0,"1/2*log(b*x + a)^2/b","A",0
248,1,31,0,0.671029," ","integrate(log(b*x+a)/(b*x+a)^2,x, algorithm=""maxima"")","-\frac{\log\left(b x + a\right)}{{\left(b x + a\right)} b} - \frac{1}{{\left(b x + a\right)} b}"," ",0,"-log(b*x + a)/((b*x + a)*b) - 1/((b*x + a)*b)","A",0
249,1,44,0,0.532936," ","integrate((b*x+a)^n*log(b*x+a),x, algorithm=""maxima"")","\frac{{\left(b x + a\right)}^{n + 1} \log\left(b x + a\right)}{b {\left(n + 1\right)}} - \frac{{\left(b x + a\right)}^{n + 1}}{b {\left(n + 1\right)}^{2}}"," ",0,"(b*x + a)^(n + 1)*log(b*x + a)/(b*(n + 1)) - (b*x + a)^(n + 1)/(b*(n + 1)^2)","A",0
250,1,24,0,0.659694," ","integrate(1/(a*x+b*x*log(c*x^n)),x, algorithm=""maxima"")","\frac{\log\left(\frac{b \log\left(c\right) + b \log\left(x^{n}\right) + a}{b}\right)}{b n}"," ",0,"log((b*log(c) + b*log(x^n) + a)/b)/(b*n)","A",0
251,0,0,0,0.000000," ","integrate(1/(a*x+b*x*log(c*x^n)^2),x, algorithm=""maxima"")","\int \frac{1}{b x \log\left(c x^{n}\right)^{2} + a x}\,{d x}"," ",0,"integrate(1/(b*x*log(c*x^n)^2 + a*x), x)","F",0
252,0,0,0,0.000000," ","integrate(1/(a*x+b*x*log(c*x^n)^3),x, algorithm=""maxima"")","\int \frac{1}{b x \log\left(c x^{n}\right)^{3} + a x}\,{d x}"," ",0,"integrate(1/(b*x*log(c*x^n)^3 + a*x), x)","F",0
253,0,0,0,0.000000," ","integrate(1/(a*x+b*x*log(c*x^n)^4),x, algorithm=""maxima"")","\int \frac{1}{b x \log\left(c x^{n}\right)^{4} + a x}\,{d x}"," ",0,"integrate(1/(b*x*log(c*x^n)^4 + a*x), x)","F",0
254,1,33,0,0.702322," ","integrate(1/(a*x+b*x/log(c*x^n)),x, algorithm=""maxima"")","\frac{\log\left(x\right)}{a} - \frac{b \log\left(\frac{a \log\left(c\right) + a \log\left(x^{n}\right) + b}{a}\right)}{a^{2} n}"," ",0,"log(x)/a - b*log((a*log(c) + a*log(x^n) + b)/a)/(a^2*n)","A",0
255,0,0,0,0.000000," ","integrate(1/(a*x+b*x/log(c*x^n)^2),x, algorithm=""maxima"")","-b \int \frac{1}{2 \, a^{2} x \log\left(c\right) \log\left(x^{n}\right) + a^{2} x \log\left(x^{n}\right)^{2} + {\left(a^{2} \log\left(c\right)^{2} + a b\right)} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-b*integrate(1/(2*a^2*x*log(c)*log(x^n) + a^2*x*log(x^n)^2 + (a^2*log(c)^2 + a*b)*x), x) + log(x)/a","F",0
256,0,0,0,0.000000," ","integrate(1/(a*x+b*x/log(c*x^n)^3),x, algorithm=""maxima"")","-b \int \frac{1}{3 \, a^{2} x \log\left(c\right)^{2} \log\left(x^{n}\right) + 3 \, a^{2} x \log\left(c\right) \log\left(x^{n}\right)^{2} + a^{2} x \log\left(x^{n}\right)^{3} + {\left(a^{2} \log\left(c\right)^{3} + a b\right)} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-b*integrate(1/(3*a^2*x*log(c)^2*log(x^n) + 3*a^2*x*log(c)*log(x^n)^2 + a^2*x*log(x^n)^3 + (a^2*log(c)^3 + a*b)*x), x) + log(x)/a","F",0
257,0,0,0,0.000000," ","integrate(1/(a*x+b*x/log(c*x^n)^4),x, algorithm=""maxima"")","-b \int \frac{1}{4 \, a^{2} x \log\left(c\right)^{3} \log\left(x^{n}\right) + 6 \, a^{2} x \log\left(c\right)^{2} \log\left(x^{n}\right)^{2} + 4 \, a^{2} x \log\left(c\right) \log\left(x^{n}\right)^{3} + a^{2} x \log\left(x^{n}\right)^{4} + {\left(a^{2} \log\left(c\right)^{4} + a b\right)} x}\,{d x} + \frac{\log\left(x\right)}{a}"," ",0,"-b*integrate(1/(4*a^2*x*log(c)^3*log(x^n) + 6*a^2*x*log(c)^2*log(x^n)^2 + 4*a^2*x*log(c)*log(x^n)^3 + a^2*x*log(x^n)^4 + (a^2*log(c)^4 + a*b)*x), x) + log(x)/a","F",0
258,0,0,0,0.000000," ","integrate(1/(x+x*log(7*x)+x*log(7*x)^2),x, algorithm=""maxima"")","\int \frac{1}{x \log\left(7 \, x\right)^{2} + x \log\left(7 \, x\right) + x}\,{d x}"," ",0,"integrate(1/(x*log(7*x)^2 + x*log(7*x) + x), x)","F",0
259,1,37,0,1.494829," ","integrate((-1+log(3*x))/x/(1-log(3*x)+log(3*x)^2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, \log\left(3 \, x\right) - 1\right)}\right) + \frac{1}{2} \, \log\left(\log\left(3 \, x\right)^{2} - \log\left(3 \, x\right) + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*log(3*x) - 1)) + 1/2*log(log(3*x)^2 - log(3*x) + 1)","A",0
260,0,0,0,0.000000," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)^3),x, algorithm=""maxima"")","\int \frac{\log\left(3 \, x\right)^{2} - 1}{x \log\left(3 \, x\right)^{3} + x}\,{d x}"," ",0,"integrate((log(3*x)^2 - 1)/(x*log(3*x)^3 + x), x)","F",0
261,0,0,0,0.000000," ","integrate((-1+log(3*x)^2)/(x+x*log(3*x)+x*log(3*x)^2),x, algorithm=""maxima"")","-\int \frac{\log\left(3\right) + \log\left(x\right) + 2}{x {\left(2 \, \log\left(3\right) + 1\right)} \log\left(x\right) + x \log\left(x\right)^{2} + {\left(\log\left(3\right)^{2} + \log\left(3\right) + 1\right)} x}\,{d x} + \log\left(x\right)"," ",0,"-integrate((log(3) + log(x) + 2)/(x*(2*log(3) + 1)*log(x) + x*log(x)^2 + (log(3)^2 + log(3) + 1)*x), x) + log(x)","F",0
262,1,17,0,0.680407," ","integrate(log(1/x)^2/x^5,x, algorithm=""maxima"")","-\frac{8 \, \log\left(x\right)^{2} + 4 \, \log\left(x\right) + 1}{32 \, x^{4}}"," ",0,"-1/32*(8*log(x)^2 + 4*log(x) + 1)/x^4","A",0
263,0,0,0,0.000000," ","integrate(1/(-log(a*x^2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-\log\left(a x^{2}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(-log(a*x^2)), x)","F",0
264,0,0,0,0.000000," ","integrate(1/(-log(a/x^2))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-\log\left(\frac{a}{x^{2}}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(-log(a/x^2)), x)","F",0
265,0,0,0,0.000000," ","integrate(1/(-log(a*x^n))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{-\log\left(a x^{n}\right)}}\,{d x}"," ",0,"integrate(1/sqrt(-log(a*x^n)), x)","F",0
266,0,0,0,0.000000," ","integrate(log(1-x+x^(1/2))/x,x, algorithm=""maxima"")","\int \frac{\log\left(-x + \sqrt{x} + 1\right)}{x}\,{d x}"," ",0,"integrate(log(-x + sqrt(x) + 1)/x, x)","F",0
267,1,111,0,0.681619," ","integrate(x*log(d*x+c)/(b*x+a),x, algorithm=""maxima"")","d {\left(\frac{{\left(\log\left(b x + a\right) \log\left(\frac{b d x + a d}{b c - a d} + 1\right) + {\rm Li}_2\left(-\frac{b d x + a d}{b c - a d}\right)\right)} a}{b^{2} d} - \frac{x}{b d} + \frac{c \log\left(d x + c\right)}{b d^{2}}\right)} + {\left(\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}\right)} \log\left(d x + c\right)"," ",0,"d*((log(b*x + a)*log((b*d*x + a*d)/(b*c - a*d) + 1) + dilog(-(b*d*x + a*d)/(b*c - a*d)))*a/(b^2*d) - x/(b*d) + c*log(d*x + c)/(b*d^2)) + (x/b - a*log(b*x + a)/b^2)*log(d*x + c)","A",0
268,1,12,0,0.637687," ","integrate(log(x)/(-1+x),x, algorithm=""maxima"")","\log\left(x\right) \log\left(-x + 1\right) + {\rm Li}_2\left(x\right)"," ",0,"log(x)*log(-x + 1) + dilog(x)","A",0
269,1,82,0,0.636877," ","integrate(x*log(-b*x-a+1)/(b*x+a),x, algorithm=""maxima"")","b {\left(\frac{{\left(\log\left(b x + a\right) \log\left(-b x - a + 1\right) + {\rm Li}_2\left(b x + a\right)\right)} a}{b^{3}} - \frac{x}{b^{2}} + \frac{{\left(a - 1\right)} \log\left(b x + a - 1\right)}{b^{3}}\right)} + {\left(\frac{x}{b} - \frac{a \log\left(b x + a\right)}{b^{2}}\right)} \log\left(-b x - a + 1\right)"," ",0,"b*((log(b*x + a)*log(-b*x - a + 1) + dilog(b*x + a))*a/b^3 - x/b^2 + (a - 1)*log(b*x + a - 1)/b^3) + (x/b - a*log(b*x + a)/b^2)*log(-b*x - a + 1)","B",0
270,1,49,0,0.550784," ","integrate((2*c*x+b)*log(x)/x/(c*x+b),x, algorithm=""maxima"")","{\left(\log\left(c x + b\right) + \log\left(x\right)\right)} \log\left(x\right) - \log\left(c x + b\right) \log\left(x\right) + \log\left(\frac{c x}{b} + 1\right) \log\left(x\right) - \frac{1}{2} \, \log\left(x\right)^{2} + {\rm Li}_2\left(-\frac{c x}{b}\right)"," ",0,"(log(c*x + b) + log(x))*log(x) - log(c*x + b)*log(x) + log(c*x/b + 1)*log(x) - 1/2*log(x)^2 + dilog(-c*x/b)","A",0
271,1,7,0,1.092955," ","integrate(sin(x*log(x))+log(x)*sin(x*log(x)),x, algorithm=""maxima"")","-\cos\left(x \log\left(x\right)\right)"," ",0,"-cos(x*log(x))","A",0
272,1,57,0,1.292332," ","integrate(log((1-(-1+x)^2)/(1+(-1+x)^2))/x^2,x, algorithm=""maxima"")","-\frac{\log\left(-\frac{{\left(x - 1\right)}^{2} - 1}{{\left(x - 1\right)}^{2} + 1}\right)}{x} - \frac{1}{x} - \arctan\left(x - 1\right) - \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 2\right) + \frac{1}{2} \, \log\left(x - 2\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-log(-((x - 1)^2 - 1)/((x - 1)^2 + 1))/x - 1/x - arctan(x - 1) - 1/2*log(x^2 - 2*x + 2) + 1/2*log(x - 2) + 1/2*log(x)","A",0
273,1,23,0,0.623699," ","integrate(log(x+x^(1/2)),x, algorithm=""maxima"")","x \log\left(x + \sqrt{x}\right) - x + \sqrt{x} - \log\left(\sqrt{x} + 1\right)"," ",0,"x*log(x + sqrt(x)) - x + sqrt(x) - log(sqrt(x) + 1)","A",0
274,1,18,0,0.635225," ","integrate(log(-x/(1+x)),x, algorithm=""maxima"")","x \log\left(-\frac{x}{x + 1}\right) - \log\left(x + 1\right)"," ",0,"x*log(-x/(x + 1)) - log(x + 1)","A",0
275,1,25,0,0.580536," ","integrate(log((-1+x)/(1+x)),x, algorithm=""maxima"")","x \log\left(\frac{x - 1}{x + 1}\right) - \log\left(x + 1\right) - \log\left(x - 1\right)"," ",0,"x*log((x - 1)/(x + 1)) - log(x + 1) - log(x - 1)","A",0
276,1,54,0,1.451625," ","integrate(log((-x^2+1)/(x^2+1))/(1+x)^2,x, algorithm=""maxima"")","-\frac{\log\left(-\frac{x^{2} - 1}{x^{2} + 1}\right)}{x + 1} - \frac{1}{x + 1} - \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right)"," ",0,"-log(-(x^2 - 1)/(x^2 + 1))/(x + 1) - 1/(x + 1) - arctan(x) - 1/2*log(x^2 + 1) + 1/2*log(x + 1) + 1/2*log(x - 1)","A",0
277,0,0,0,0.000000," ","integrate(log(c*(x^2+1)^n)/(x^2+1),x, algorithm=""maxima"")","\int \frac{\log\left({\left(x^{2} + 1\right)}^{n} c\right)}{x^{2} + 1}\,{d x}"," ",0,"integrate(log((x^2 + 1)^n*c)/(x^2 + 1), x)","F",0
278,0,0,0,0.000000," ","integrate(log(x^2/(x^2+1))/(x^2+1),x, algorithm=""maxima"")","\int \frac{\log\left(\frac{x^{2}}{x^{2} + 1}\right)}{x^{2} + 1}\,{d x}"," ",0,"integrate(log(x^2/(x^2 + 1))/(x^2 + 1), x)","F",0
279,0,0,0,0.000000," ","integrate(log(c*x^2/(b*x^2+a))/(b*x^2+a),x, algorithm=""maxima"")","\int \frac{\log\left(\frac{c x^{2}}{b x^{2} + a}\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(log(c*x^2/(b*x^2 + a))/(b*x^2 + a), x)","F",0
280,0,0,0,0.000000," ","integrate(log(1+I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\frac{2 \, {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} \log\left(a x + 1\right) - \log\left(a x + 1\right)^{2} + 2 \, \log\left(a x + 1\right) \log\left(-a x + 1\right) - \log\left(-a x + 1\right)^{2} - 4 \, {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} \log\left(\sqrt{a x + 1} + i \, \sqrt{-a x + 1}\right)}{8 \, a} - \int -\frac{\sqrt{a x + 1} {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)}}{2 \, {\left(a^{2} x^{2} - 1\right)} \sqrt{a x + 1} + {\left(2 i \, a^{2} x^{2} - 2 i\right)} \sqrt{-a x + 1}}\,{d x}"," ",0,"-1/8*(2*(log(a*x + 1) - log(-a*x + 1))*log(a*x + 1) - log(a*x + 1)^2 + 2*log(a*x + 1)*log(-a*x + 1) - log(-a*x + 1)^2 - 4*(log(a*x + 1) - log(-a*x + 1))*log(sqrt(a*x + 1) + I*sqrt(-a*x + 1)))/a - integrate(-sqrt(a*x + 1)*(log(a*x + 1) - log(-a*x + 1))/(2*(a^2*x^2 - 1)*sqrt(a*x + 1) + (2*I*a^2*x^2 - 2*I)*sqrt(-a*x + 1)), x)","F",0
281,0,0,0,0.000000," ","integrate(log(1-I*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\frac{2 \, {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} \log\left(a x + 1\right) - \log\left(a x + 1\right)^{2} + 2 \, \log\left(a x + 1\right) \log\left(-a x + 1\right) - \log\left(-a x + 1\right)^{2} - 4 \, {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)} \log\left(\sqrt{a x + 1} - i \, \sqrt{-a x + 1}\right)}{8 \, a} + \int \frac{\sqrt{a x + 1} {\left(\log\left(a x + 1\right) - \log\left(-a x + 1\right)\right)}}{2 \, {\left(a^{2} x^{2} - 1\right)} \sqrt{a x + 1} - {\left(2 i \, a^{2} x^{2} - 2 i\right)} \sqrt{-a x + 1}}\,{d x}"," ",0,"-1/8*(2*(log(a*x + 1) - log(-a*x + 1))*log(a*x + 1) - log(a*x + 1)^2 + 2*log(a*x + 1)*log(-a*x + 1) - log(-a*x + 1)^2 - 4*(log(a*x + 1) - log(-a*x + 1))*log(sqrt(a*x + 1) - I*sqrt(-a*x + 1)))/a + integrate(sqrt(a*x + 1)*(log(a*x + 1) - log(-a*x + 1))/(2*(a^2*x^2 - 1)*sqrt(a*x + 1) - (2*I*a^2*x^2 - 2*I)*sqrt(-a*x + 1)), x)","F",0
282,1,10,0,0.623779," ","integrate(log(exp(b*x+a)),x, algorithm=""maxima"")","\frac{1}{2} \, b x^{2} + a x"," ",0,"1/2*b*x^2 + a*x","A",0
283,1,16,0,0.526973," ","integrate(log(exp(a+b*x^n)),x, algorithm=""maxima"")","a x + \frac{b x^{n + 1}}{n + 1}"," ",0,"a*x + b*x^(n + 1)/(n + 1)","A",0
284,1,26,0,0.742209," ","integrate(exp(x)*log(a+b*exp(x)),x, algorithm=""maxima"")","-\frac{b e^{x} - {\left(b e^{x} + a\right)} \log\left(b e^{x} + a\right) + a}{b}"," ",0,"-(b*e^x - (b*e^x + a)*log(b*e^x + a) + a)/b","A",0
285,1,24,0,0.856779," ","integrate(exp(b*x+a)*log(x),x, algorithm=""maxima"")","-\frac{{\rm Ei}\left(b x\right) e^{a}}{b} + \frac{e^{\left(b x + a\right)} \log\left(x\right)}{b}"," ",0,"-Ei(b*x)*e^a/b + e^(b*x + a)*log(x)/b","A",0
286,0,0,0,0.000000," ","integrate(x^2/(x+log(x)),x, algorithm=""maxima"")","\int \frac{x^{2}}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(x^2/(x + log(x)), x)","F",0
287,0,0,0,0.000000," ","integrate(x/(x+log(x)),x, algorithm=""maxima"")","\int \frac{x}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(x/(x + log(x)), x)","F",0
288,0,0,0,0.000000," ","integrate(1/(x+log(x)),x, algorithm=""maxima"")","\int \frac{1}{x + \log\left(x\right)}\,{d x}"," ",0,"integrate(1/(x + log(x)), x)","F",0
289,0,0,0,0.000000," ","integrate(1/x/(x+log(x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \log\left(x\right)\right)} x}\,{d x}"," ",0,"integrate(1/((x + log(x))*x), x)","F",0
290,0,0,0,0.000000," ","integrate(1/x^2/(x+log(x)),x, algorithm=""maxima"")","\int \frac{1}{{\left(x + \log\left(x\right)\right)} x^{2}}\,{d x}"," ",0,"integrate(1/((x + log(x))*x^2), x)","F",0
291,1,9,0,0.788380," ","integrate(log(x)/(x+4*x*log(x)^2),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(\log\left(x\right)^{2} + \frac{1}{4}\right)"," ",0,"1/8*log(log(x)^2 + 1/4)","A",0
292,1,10,0,0.895638," ","integrate((1-log(x))/x/(x+log(x)),x, algorithm=""maxima"")","\log\left(x + \log\left(x\right)\right) - \log\left(x\right)"," ",0,"log(x + log(x)) - log(x)","A",0
293,0,0,0,0.000000," ","integrate((1+x)/log(x)/(x+log(x)),x, algorithm=""maxima"")","\int \frac{x + 1}{x \log\left(x\right)}\,{d x} - \log\left(x + \log\left(x\right)\right)"," ",0,"integrate((x + 1)/(x*log(x)), x) - log(x + log(x))","F",0
294,1,67,0,0.558357," ","integrate(log(2+((1+x)/x)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{\frac{x + 1}{x}} + 2\right)}{\frac{x + 1}{x} - 1} - \frac{1}{3} \, \log\left(\sqrt{\frac{x + 1}{x}} + 2\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \frac{1}{6} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"log(sqrt((x + 1)/x) + 2)/((x + 1)/x - 1) - 1/3*log(sqrt((x + 1)/x) + 2) + 1/2*log(sqrt((x + 1)/x) + 1) - 1/6*log(sqrt((x + 1)/x) - 1)","A",0
295,1,68,0,0.590403," ","integrate(log(1+((1+x)/x)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{\frac{x + 1}{x}} + 1\right)}{\frac{x + 1}{x} - 1} - \frac{1}{2 \, {\left(\sqrt{\frac{x + 1}{x}} + 1\right)}} + \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) - \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"log(sqrt((x + 1)/x) + 1)/((x + 1)/x - 1) - 1/2/(sqrt((x + 1)/x) + 1) + 1/4*log(sqrt((x + 1)/x) + 1) - 1/4*log(sqrt((x + 1)/x) - 1)","A",0
296,1,18,0,0.592069," ","integrate(1/2*log((1+x)/x),x, algorithm=""maxima"")","\frac{1}{2} \, x \log\left(\frac{x + 1}{x}\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"1/2*x*log((x + 1)/x) + 1/2*log(x + 1)","A",0
297,1,68,0,0.630525," ","integrate(log(-1+((1+x)/x)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{\frac{x + 1}{x}} - 1\right)}{\frac{x + 1}{x} - 1} + \frac{1}{2 \, {\left(\sqrt{\frac{x + 1}{x}} - 1\right)}} - \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) + \frac{1}{4} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right)"," ",0,"log(sqrt((x + 1)/x) - 1)/((x + 1)/x - 1) + 1/2/(sqrt((x + 1)/x) - 1) - 1/4*log(sqrt((x + 1)/x) + 1) + 1/4*log(sqrt((x + 1)/x) - 1)","A",0
298,1,67,0,0.606550," ","integrate(log(-2+((1+x)/x)^(1/2)),x, algorithm=""maxima"")","\frac{\log\left(\sqrt{\frac{x + 1}{x}} - 2\right)}{\frac{x + 1}{x} - 1} - \frac{1}{6} \, \log\left(\sqrt{\frac{x + 1}{x}} + 1\right) + \frac{1}{2} \, \log\left(\sqrt{\frac{x + 1}{x}} - 1\right) - \frac{1}{3} \, \log\left(\sqrt{\frac{x + 1}{x}} - 2\right)"," ",0,"log(sqrt((x + 1)/x) - 2)/((x + 1)/x - 1) - 1/6*log(sqrt((x + 1)/x) + 1) + 1/2*log(sqrt((x + 1)/x) - 1) - 1/3*log(sqrt((x + 1)/x) - 2)","A",0
299,1,9,0,0.822873," ","integrate(x^(a*x)+x^(a*x)*log(x),x, algorithm=""maxima"")","\frac{x^{a x}}{a}"," ",0,"x^(a*x)/a","A",0
300,0,0,0,0.000000," ","integrate((log(x)^m)^p,x, algorithm=""maxima"")","\int {\left(\log\left(x\right)^{m}\right)}^{p}\,{d x}"," ",0,"integrate((log(x)^m)^p, x)","F",0
301,1,108,0,0.704389," ","integrate(log(x)/(a+b*log(x))^(1/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{\pi} a \operatorname{erf}\left(\sqrt{b \log\left(x\right) + a} \sqrt{-\frac{1}{b}}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-\frac{1}{b}}} + \frac{\sqrt{\pi} b \operatorname{erf}\left(\sqrt{b \log\left(x\right) + a} \sqrt{-\frac{1}{b}}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-\frac{1}{b}}} - 2 \, \sqrt{b \log\left(x\right) + a} b e^{\left(\frac{b \log\left(x\right) + a}{b} - \frac{a}{b}\right)}}{2 \, b^{2}}"," ",0,"-1/2*(2*sqrt(pi)*a*erf(sqrt(b*log(x) + a)*sqrt(-1/b))*e^(-a/b)/sqrt(-1/b) + sqrt(pi)*b*erf(sqrt(b*log(x) + a)*sqrt(-1/b))*e^(-a/b)/sqrt(-1/b) - 2*sqrt(b*log(x) + a)*b*e^((b*log(x) + a)/b - a/b))/b^2","B",0
302,1,94,0,0.647465," ","integrate(log(x)/(a-b*log(x))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{\pi} a \sqrt{b} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}} - \sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}} + 2 \, \sqrt{-b \log\left(x\right) + a} b e^{\left(\frac{b \log\left(x\right) - a}{b} + \frac{a}{b}\right)}}{2 \, b^{2}}"," ",0,"-1/2*(2*sqrt(pi)*a*sqrt(b)*erf(sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b) - sqrt(pi)*b^(3/2)*erf(sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b) + 2*sqrt(-b*log(x) + a)*b*e^((b*log(x) - a)/b + a/b))/b^2","A",0
303,1,156,0,0.742465," ","integrate((A+B*log(x))/(a+b*log(x))^(1/2),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{\pi} A \operatorname{erf}\left(\sqrt{b \log\left(x\right) + a} \sqrt{-\frac{1}{b}}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-\frac{1}{b}}} - \frac{2 \, \sqrt{\pi} B a \operatorname{erf}\left(\sqrt{b \log\left(x\right) + a} \sqrt{-\frac{1}{b}}\right) e^{\left(-\frac{a}{b}\right)}}{b \sqrt{-\frac{1}{b}}} - \frac{{\left(\frac{\sqrt{\pi} b \operatorname{erf}\left(\sqrt{b \log\left(x\right) + a} \sqrt{-\frac{1}{b}}\right) e^{\left(-\frac{a}{b}\right)}}{\sqrt{-\frac{1}{b}}} - 2 \, \sqrt{b \log\left(x\right) + a} b e^{\left(\frac{b \log\left(x\right) + a}{b} - \frac{a}{b}\right)}\right)} B}{b}}{2 \, b}"," ",0,"1/2*(2*sqrt(pi)*A*erf(sqrt(b*log(x) + a)*sqrt(-1/b))*e^(-a/b)/sqrt(-1/b) - 2*sqrt(pi)*B*a*erf(sqrt(b*log(x) + a)*sqrt(-1/b))*e^(-a/b)/(b*sqrt(-1/b)) - (sqrt(pi)*b*erf(sqrt(b*log(x) + a)*sqrt(-1/b))*e^(-a/b)/sqrt(-1/b) - 2*sqrt(b*log(x) + a)*b*e^((b*log(x) + a)/b - a/b))*B/b)/b","B",0
304,1,130,0,0.664405," ","integrate((A+B*log(x))/(a-b*log(x))^(1/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{\pi} B a \operatorname{erf}\left(\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}}}{\sqrt{b}} + 2 \, \sqrt{\pi} A \sqrt{b} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}} - \frac{{\left(\sqrt{\pi} b^{\frac{3}{2}} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(x\right) + a}}{\sqrt{b}}\right) e^{\frac{a}{b}} - 2 \, \sqrt{-b \log\left(x\right) + a} b e^{\left(\frac{b \log\left(x\right) - a}{b} + \frac{a}{b}\right)}\right)} B}{b}}{2 \, b}"," ",0,"-1/2*(2*sqrt(pi)*B*a*erf(sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b)/sqrt(b) + 2*sqrt(pi)*A*sqrt(b)*erf(sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b) - (sqrt(pi)*b^(3/2)*erf(sqrt(-b*log(x) + a)/sqrt(b))*e^(a/b) - 2*sqrt(-b*log(x) + a)*b*e^((b*log(x) - a)/b + a/b))*B/b)/b","B",0
305,1,94,0,2.056629," ","integrate(x^2*log(log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(2 i \, \pi - 4 \, \log\left(2\right)\right)} x^{3} - \frac{1}{4} i \, x^{4} + \frac{1}{3} \, x^{3} \log\left(\log\left(x\right)\right) + i \, x^{2} {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, x^{2} {\rm Li}_2\left(e^{\left(i \, x\right)}\right) - 2 \, x {\rm Li}_{3}(-e^{\left(i \, x\right)}) - 2 \, x {\rm Li}_{3}(e^{\left(i \, x\right)}) - \frac{1}{3} \, {\rm Ei}\left(3 \, \log\left(x\right)\right) - 2 i \, {\rm Li}_{4}(-e^{\left(i \, x\right)}) - 2 i \, {\rm Li}_{4}(e^{\left(i \, x\right)})"," ",0,"1/12*(2*I*pi - 4*log(2))*x^3 - 1/4*I*x^4 + 1/3*x^3*log(log(x)) + I*x^2*dilog(-e^(I*x)) + I*x^2*dilog(e^(I*x)) - 2*x*polylog(3, -e^(I*x)) - 2*x*polylog(3, e^(I*x)) - 1/3*Ei(3*log(x)) - 2*I*polylog(4, -e^(I*x)) - 2*I*polylog(4, e^(I*x))","A",0
306,1,70,0,1.922030," ","integrate(x*log(log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(3 i \, \pi - 6 \, \log\left(2\right)\right)} x^{2} - \frac{1}{3} i \, x^{3} + \frac{1}{2} \, x^{2} \log\left(\log\left(x\right)\right) + i \, x {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, x {\rm Li}_2\left(e^{\left(i \, x\right)}\right) - \frac{1}{2} \, {\rm Ei}\left(2 \, \log\left(x\right)\right) - {\rm Li}_{3}(-e^{\left(i \, x\right)}) - {\rm Li}_{3}(e^{\left(i \, x\right)})"," ",0,"1/12*(3*I*pi - 6*log(2))*x^2 - 1/3*I*x^3 + 1/2*x^2*log(log(x)) + I*x*dilog(-e^(I*x)) + I*x*dilog(e^(I*x)) - 1/2*Ei(2*log(x)) - polylog(3, -e^(I*x)) - polylog(3, e^(I*x))","A",0
307,1,43,0,1.764244," ","integrate(log(log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(i \, \pi - 2 \, \log\left(2\right)\right)} x - \frac{1}{2} i \, x^{2} + x \log\left(\log\left(x\right)\right) - {\rm Ei}\left(\log\left(x\right)\right) + i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"1/2*(I*pi - 2*log(2))*x - 1/2*I*x^2 + x*log(log(x)) - Ei(log(x)) + I*dilog(-e^(I*x)) + I*dilog(e^(I*x))","A",0
308,0,0,0,0.000000," ","integrate(log(log(x)*sin(x))/x,x, algorithm=""maxima"")","-{\left(\log\left(2\right) + 1\right)} \log\left(x\right) + \frac{1}{2} \, \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) \log\left(x\right) + \frac{1}{2} \, \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) \log\left(x\right) + \log\left(x\right) \log\left(\log\left(x\right)\right) + \int \frac{\log\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1}\,{d x} - \int \frac{\log\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1}\,{d x}"," ",0,"-(log(2) + 1)*log(x) + 1/2*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1)*log(x) + 1/2*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1)*log(x) + log(x)*log(log(x)) + integrate(log(x)*sin(x)/(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1), x) - integrate(log(x)*sin(x)/(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1), x)","F",0
309,0,0,0,0.000000," ","integrate(log(log(x)*sin(x))/x^2,x, algorithm=""maxima"")","\frac{x {\left({\rm Ei}\left(-\log\left(x\right)\right) + \overline{{\rm Ei}\left(-\log\left(x\right)\right)}\right)} - 2 \, x \int \frac{\sin\left(x\right)}{{\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right)} x}\,{d x} + 2 \, x \int \frac{\sin\left(x\right)}{{\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right)} x}\,{d x} + 2 \, \log\left(2\right) - \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) - \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) - 2 \, \log\left(\log\left(x\right)\right)}{2 \, x}"," ",0,"1/2*(x*(Ei(-log(x)) + conjugate(Ei(-log(x)))) - 2*x*integrate(sin(x)/(x*cos(x)^2 + x*sin(x)^2 + 2*x*cos(x) + x), x) + 2*x*integrate(sin(x)/(x*cos(x)^2 + x*sin(x)^2 - 2*x*cos(x) + x), x) + 2*log(2) - log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) - log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) - 2*log(log(x)))/x","F",0
310,1,94,0,2.417328," ","integrate(x^2*log(exp(x)*log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(2 i \, \pi - 4 \, \log\left(2\right)\right)} x^{3} - \left(\frac{1}{4} i - \frac{1}{4}\right) \, x^{4} + \frac{1}{3} \, x^{3} \log\left(\log\left(x\right)\right) + i \, x^{2} {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, x^{2} {\rm Li}_2\left(e^{\left(i \, x\right)}\right) - 2 \, x {\rm Li}_{3}(-e^{\left(i \, x\right)}) - 2 \, x {\rm Li}_{3}(e^{\left(i \, x\right)}) - \frac{1}{3} \, {\rm Ei}\left(3 \, \log\left(x\right)\right) - 2 i \, {\rm Li}_{4}(-e^{\left(i \, x\right)}) - 2 i \, {\rm Li}_{4}(e^{\left(i \, x\right)})"," ",0,"1/12*(2*I*pi - 4*log(2))*x^3 - (1/4*I - 1/4)*x^4 + 1/3*x^3*log(log(x)) + I*x^2*dilog(-e^(I*x)) + I*x^2*dilog(e^(I*x)) - 2*x*polylog(3, -e^(I*x)) - 2*x*polylog(3, e^(I*x)) - 1/3*Ei(3*log(x)) - 2*I*polylog(4, -e^(I*x)) - 2*I*polylog(4, e^(I*x))","A",0
311,1,70,0,1.428130," ","integrate(x*log(exp(x)*log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{12} \, {\left(3 i \, \pi - 6 \, \log\left(2\right)\right)} x^{2} - \left(\frac{1}{3} i - \frac{1}{3}\right) \, x^{3} + \frac{1}{2} \, x^{2} \log\left(\log\left(x\right)\right) + i \, x {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, x {\rm Li}_2\left(e^{\left(i \, x\right)}\right) - \frac{1}{2} \, {\rm Ei}\left(2 \, \log\left(x\right)\right) - {\rm Li}_{3}(-e^{\left(i \, x\right)}) - {\rm Li}_{3}(e^{\left(i \, x\right)})"," ",0,"1/12*(3*I*pi - 6*log(2))*x^2 - (1/3*I - 1/3)*x^3 + 1/2*x^2*log(log(x)) + I*x*dilog(-e^(I*x)) + I*x*dilog(e^(I*x)) - 1/2*Ei(2*log(x)) - polylog(3, -e^(I*x)) - polylog(3, e^(I*x))","A",0
312,1,43,0,1.290706," ","integrate(log(exp(x)*log(x)*sin(x)),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(i \, \pi - 2 \, \log\left(2\right)\right)} x - \left(\frac{1}{2} i - \frac{1}{2}\right) \, x^{2} + x \log\left(\log\left(x\right)\right) - {\rm Ei}\left(\log\left(x\right)\right) + i \, {\rm Li}_2\left(-e^{\left(i \, x\right)}\right) + i \, {\rm Li}_2\left(e^{\left(i \, x\right)}\right)"," ",0,"1/2*(I*pi - 2*log(2))*x - (1/2*I - 1/2)*x^2 + x*log(log(x)) - Ei(log(x)) + I*dilog(-e^(I*x)) + I*dilog(e^(I*x))","A",0
313,0,0,0,0.000000," ","integrate(log(exp(x)*log(x)*sin(x))/x,x, algorithm=""maxima"")","-{\left(\log\left(2\right) + 1\right)} \log\left(x\right) + \frac{1}{2} \, \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) \log\left(x\right) + \frac{1}{2} \, \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) \log\left(x\right) + \log\left(x\right) \log\left(\log\left(x\right)\right) + x + \int \frac{\log\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1}\,{d x} - \int \frac{\log\left(x\right) \sin\left(x\right)}{\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1}\,{d x}"," ",0,"-(log(2) + 1)*log(x) + 1/2*log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1)*log(x) + 1/2*log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1)*log(x) + log(x)*log(log(x)) + x + integrate(log(x)*sin(x)/(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1), x) - integrate(log(x)*sin(x)/(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1), x)","F",0
314,0,0,0,0.000000," ","integrate(log(exp(x)*log(x)*sin(x))/x^2,x, algorithm=""maxima"")","\frac{x {\left({\rm Ei}\left(-\log\left(x\right)\right) + \overline{{\rm Ei}\left(-\log\left(x\right)\right)}\right)} - 2 \, x \int \frac{\sin\left(x\right)}{{\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right)} x}\,{d x} + 2 \, x \int \frac{\sin\left(x\right)}{{\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right)} x}\,{d x} + 2 \, x \log\left(x\right) + 2 \, \log\left(2\right) - \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} + 2 \, \cos\left(x\right) + 1\right) - \log\left(\cos\left(x\right)^{2} + \sin\left(x\right)^{2} - 2 \, \cos\left(x\right) + 1\right) - 2 \, \log\left(\log\left(x\right)\right)}{2 \, x}"," ",0,"1/2*(x*(Ei(-log(x)) + conjugate(Ei(-log(x)))) - 2*x*integrate(sin(x)/(x*cos(x)^2 + x*sin(x)^2 + 2*x*cos(x) + x), x) + 2*x*integrate(sin(x)/(x*cos(x)^2 + x*sin(x)^2 - 2*x*cos(x) + x), x) + 2*x*log(x) + 2*log(2) - log(cos(x)^2 + sin(x)^2 + 2*cos(x) + 1) - log(cos(x)^2 + sin(x)^2 - 2*cos(x) + 1) - 2*log(log(x)))/x","F",0
