1,1,71,0,0.178605," ","integrate(x^4*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{1}{5} \, p x^{5} \log\left(b x^{2} + a\right) - \frac{1}{25} \, {\left(2 \, p - 5 \, \log\left(c\right)\right)} x^{5} + \frac{2 \, a p x^{3}}{15 \, b} + \frac{2 \, a^{3} p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{5 \, \sqrt{a b} b^{2}} - \frac{2 \, a^{2} p x}{5 \, b^{2}}"," ",0,"1/5*p*x^5*log(b*x^2 + a) - 1/25*(2*p - 5*log(c))*x^5 + 2/15*a*p*x^3/b + 2/5*a^3*p*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b^2) - 2/5*a^2*p*x/b^2","A",0
2,1,97,0,0.173115," ","integrate(x^3*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) - 4 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) - {\left(b x^{2} + a\right)}^{2} + 4 \, {\left(b x^{2} + a\right)} a\right)} p}{b} + \frac{2 \, {\left({\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a\right)} \log\left(c\right)}{b}}{8 \, b}"," ",0,"1/8*((2*(b*x^2 + a)^2*log(b*x^2 + a) - 4*(b*x^2 + a)*a*log(b*x^2 + a) - (b*x^2 + a)^2 + 4*(b*x^2 + a)*a)*p/b + 2*((b*x^2 + a)^2 - 2*(b*x^2 + a)*a)*log(c)/b)/b","A",0
3,1,59,0,0.203772," ","integrate(x^2*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{1}{3} \, p x^{3} \log\left(b x^{2} + a\right) - \frac{1}{9} \, {\left(2 \, p - 3 \, \log\left(c\right)\right)} x^{3} - \frac{2 \, a^{2} p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b} + \frac{2 \, a p x}{3 \, b}"," ",0,"1/3*p*x^3*log(b*x^2 + a) - 1/9*(2*p - 3*log(c))*x^3 - 2/3*a^2*p*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) + 2/3*a*p*x/b","A",0
4,1,43,0,0.161138," ","integrate(x*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","-\frac{{\left(b x^{2} - {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + a\right)} p - {\left(b x^{2} + a\right)} \log\left(c\right)}{2 \, b}"," ",0,"-1/2*((b*x^2 - (b*x^2 + a)*log(b*x^2 + a) + a)*p - (b*x^2 + a)*log(c))/b","A",0
5,1,41,0,0.163323," ","integrate(log(c*(b*x^2+a)^p),x, algorithm=""giac"")","p x \log\left(b x^{2} + a\right) + \frac{2 \, a p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}} - {\left(2 \, p - \log\left(c\right)\right)} x"," ",0,"p*x*log(b*x^2 + a) + 2*a*p*arctan(b*x/sqrt(a*b))/sqrt(a*b) - (2*p - log(c))*x","A",0
6,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/x, x)","F",0
7,1,40,0,0.167593," ","integrate(log(c*(b*x^2+a)^p)/x^2,x, algorithm=""giac"")","\frac{2 \, b p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}} - \frac{p \log\left(b x^{2} + a\right)}{x} - \frac{\log\left(c\right)}{x}"," ",0,"2*b*p*arctan(b*x/sqrt(a*b))/sqrt(a*b) - p*log(b*x^2 + a)/x - log(c)/x","A",0
8,1,58,0,0.166366," ","integrate(log(c*(b*x^2+a)^p)/x^3,x, algorithm=""giac"")","-\frac{\frac{b^{2} p \log\left(b x^{2} + a\right)}{a} - \frac{b^{2} p \log\left(b x^{2}\right)}{a} + \frac{b p \log\left(b x^{2} + a\right)}{x^{2}} + \frac{b \log\left(c\right)}{x^{2}}}{2 \, b}"," ",0,"-1/2*(b^2*p*log(b*x^2 + a)/a - b^2*p*log(b*x^2)/a + b*p*log(b*x^2 + a)/x^2 + b*log(c)/x^2)/b","A",0
9,1,58,0,0.200081," ","integrate(log(c*(b*x^2+a)^p)/x^4,x, algorithm=""giac"")","-\frac{2 \, b^{2} p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a} - \frac{p \log\left(b x^{2} + a\right)}{3 \, x^{3}} - \frac{2 \, b p x^{2} + a \log\left(c\right)}{3 \, a x^{3}}"," ",0,"-2/3*b^2*p*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a) - 1/3*p*log(b*x^2 + a)/x^3 - 1/3*(2*b*p*x^2 + a*log(c))/(a*x^3)","A",0
10,1,132,0,0.164245," ","integrate(log(c*(b*x^2+a)^p)/x^5,x, algorithm=""giac"")","-\frac{\frac{b^{3} p \log\left(b x^{2} + a\right)}{{\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a + a^{2}} - \frac{b^{3} p \log\left(b x^{2} + a\right)}{a^{2}} + \frac{b^{3} p \log\left(b x^{2}\right)}{a^{2}} + \frac{{\left(b x^{2} + a\right)} b^{3} p - a b^{3} p + a b^{3} \log\left(c\right)}{{\left(b x^{2} + a\right)}^{2} a - 2 \, {\left(b x^{2} + a\right)} a^{2} + a^{3}}}{4 \, b}"," ",0,"-1/4*(b^3*p*log(b*x^2 + a)/((b*x^2 + a)^2 - 2*(b*x^2 + a)*a + a^2) - b^3*p*log(b*x^2 + a)/a^2 + b^3*p*log(b*x^2)/a^2 + ((b*x^2 + a)*b^3*p - a*b^3*p + a*b^3*log(c))/((b*x^2 + a)^2*a - 2*(b*x^2 + a)*a^2 + a^3))/b","B",0
11,1,71,0,0.184549," ","integrate(log(c*(b*x^2+a)^p)/x^6,x, algorithm=""giac"")","\frac{2 \, b^{3} p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{5 \, \sqrt{a b} a^{2}} - \frac{p \log\left(b x^{2} + a\right)}{5 \, x^{5}} + \frac{6 \, b^{2} p x^{4} - 2 \, a b p x^{2} - 3 \, a^{2} \log\left(c\right)}{15 \, a^{2} x^{5}}"," ",0,"2/5*b^3*p*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*a^2) - 1/5*p*log(b*x^2 + a)/x^5 + 1/15*(6*b^2*p*x^4 - 2*a*b*p*x^2 - 3*a^2*log(c))/(a^2*x^5)","A",0
12,1,191,0,0.165511," ","integrate(log(c*(b*x^2+a)^p)/x^7,x, algorithm=""giac"")","-\frac{\frac{2 \, b^{4} p \log\left(b x^{2} + a\right)}{{\left(b x^{2} + a\right)}^{3} - 3 \, {\left(b x^{2} + a\right)}^{2} a + 3 \, {\left(b x^{2} + a\right)} a^{2} - a^{3}} + \frac{2 \, b^{4} p \log\left(b x^{2} + a\right)}{a^{3}} - \frac{2 \, b^{4} p \log\left(b x^{2}\right)}{a^{3}} - \frac{2 \, {\left(b x^{2} + a\right)}^{2} b^{4} p - 5 \, {\left(b x^{2} + a\right)} a b^{4} p + 3 \, a^{2} b^{4} p - 2 \, a^{2} b^{4} \log\left(c\right)}{{\left(b x^{2} + a\right)}^{3} a^{2} - 3 \, {\left(b x^{2} + a\right)}^{2} a^{3} + 3 \, {\left(b x^{2} + a\right)} a^{4} - a^{5}}}{12 \, b}"," ",0,"-1/12*(2*b^4*p*log(b*x^2 + a)/((b*x^2 + a)^3 - 3*(b*x^2 + a)^2*a + 3*(b*x^2 + a)*a^2 - a^3) + 2*b^4*p*log(b*x^2 + a)/a^3 - 2*b^4*p*log(b*x^2)/a^3 - (2*(b*x^2 + a)^2*b^4*p - 5*(b*x^2 + a)*a*b^4*p + 3*a^2*b^4*p - 2*a^2*b^4*log(c))/((b*x^2 + a)^3*a^2 - 3*(b*x^2 + a)^2*a^3 + 3*(b*x^2 + a)*a^4 - a^5))/b","B",0
13,1,97,0,0.164766," ","integrate(x^5*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, {\left(b x^{3} + a\right)}^{2} \log\left(b x^{3} + a\right) - 4 \, {\left(b x^{3} + a\right)} a \log\left(b x^{3} + a\right) - {\left(b x^{3} + a\right)}^{2} + 4 \, {\left(b x^{3} + a\right)} a\right)} p}{b} + \frac{2 \, {\left({\left(b x^{3} + a\right)}^{2} - 2 \, {\left(b x^{3} + a\right)} a\right)} \log\left(c\right)}{b}}{12 \, b}"," ",0,"1/12*((2*(b*x^3 + a)^2*log(b*x^3 + a) - 4*(b*x^3 + a)*a*log(b*x^3 + a) - (b*x^3 + a)^2 + 4*(b*x^3 + a)*a)*p/b + 2*((b*x^3 + a)^2 - 2*(b*x^3 + a)*a)*log(c)/b)/b","A",0
14,1,162,0,0.204599," ","integrate(x^4*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","\frac{1}{10} \, a^{2} b^{4} p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b^{5}} + \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{7}} - \frac{\left(-a b^{2}\right)^{\frac{2}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b^{7}}\right)} + \frac{1}{5} \, p x^{5} \log\left(b x^{3} + a\right) - \frac{1}{25} \, {\left(3 \, p - 5 \, \log\left(c\right)\right)} x^{5} + \frac{3 \, a p x^{2}}{10 \, b}"," ",0,"1/10*a^2*b^4*p*(2*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^5) + 2*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^7) - (-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^7)) + 1/5*p*x^5*log(b*x^3 + a) - 1/25*(3*p - 5*log(c))*x^5 + 3/10*a*p*x^2/b","A",0
15,1,160,0,0.176336," ","integrate(x^3*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","\frac{1}{8} \, a^{2} b^{3} p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b^{4}} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{5}} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b^{5}}\right)} + \frac{1}{4} \, p x^{4} \log\left(b x^{3} + a\right) - \frac{1}{16} \, {\left(3 \, p - 4 \, \log\left(c\right)\right)} x^{4} + \frac{3 \, a p x}{4 \, b}"," ",0,"1/8*a^2*b^3*p*(2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^4) - 2*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^5) - (-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^5)) + 1/4*p*x^4*log(b*x^3 + a) - 1/16*(3*p - 4*log(c))*x^4 + 3/4*a*p*x/b","A",0
16,1,43,0,0.176945," ","integrate(x^2*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{{\left(b x^{3} - {\left(b x^{3} + a\right)} \log\left(b x^{3} + a\right) + a\right)} p - {\left(b x^{3} + a\right)} \log\left(c\right)}{3 \, b}"," ",0,"-1/3*((b*x^3 - (b*x^3 + a)*log(b*x^3 + a) + a)*p - (b*x^3 + a)*log(c))/b","A",0
17,1,150,0,0.203080," ","integrate(x*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{1}{4} \, a b^{2} p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b^{2}} + \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{4}} - \frac{\left(-a b^{2}\right)^{\frac{2}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b^{4}}\right)} + \frac{1}{2} \, p x^{2} \log\left(b x^{3} + a\right) - \frac{1}{4} \, {\left(3 \, p - 2 \, \log\left(c\right)\right)} x^{2}"," ",0,"-1/4*a*b^2*p*(2*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^2) + 2*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^4) - (-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^4)) + 1/2*p*x^2*log(b*x^3 + a) - 1/4*(3*p - 2*log(c))*x^2","A",0
18,1,143,0,0.189971," ","integrate(log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{1}{2} \, a b p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{2}} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b^{2}}\right)} + p x \log\left(b x^{3} + a\right) - {\left(3 \, p - \log\left(c\right)\right)} x"," ",0,"-1/2*a*b*p*(2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b) - 2*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^2) - (-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^2)) + p*x*log(b*x^3 + a) - (3*p - log(c))*x","A",0
19,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/x, x)","F",0
20,1,137,0,0.184455," ","integrate(log(c*(b*x^3+a)^p)/x^2,x, algorithm=""giac"")","-\frac{b p \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} p \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b} - \frac{p \log\left(b x^{3} + a\right)}{x} + \frac{\left(-a b^{2}\right)^{\frac{2}{3}} p \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, a b} - \frac{\log\left(c\right)}{x}"," ",0,"-b*p*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/a - sqrt(3)*(-a*b^2)^(2/3)*p*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b) - p*log(b*x^3 + a)/x + 1/2*(-a*b^2)^(2/3)*p*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b) - log(c)/x","A",0
21,1,138,0,0.180844," ","integrate(log(c*(b*x^3+a)^p)/x^3,x, algorithm=""giac"")","-\frac{1}{4} \, b p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b}\right)} - \frac{p \log\left(b x^{3} + a\right)}{2 \, x^{2}} - \frac{\log\left(c\right)}{2 \, x^{2}}"," ",0,"-1/4*b*p*(2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a - 2*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b) - (-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b)) - 1/2*p*log(b*x^3 + a)/x^2 - 1/2*log(c)/x^2","A",0
22,1,58,0,0.162297," ","integrate(log(c*(b*x^3+a)^p)/x^4,x, algorithm=""giac"")","-\frac{\frac{b^{2} p \log\left(b x^{3} + a\right)}{a} - \frac{b^{2} p \log\left(b x^{3}\right)}{a} + \frac{b p \log\left(b x^{3} + a\right)}{x^{3}} + \frac{b \log\left(c\right)}{x^{3}}}{3 \, b}"," ",0,"-1/3*(b^2*p*log(b*x^3 + a)/a - b^2*p*log(b*x^3)/a + b*p*log(b*x^3 + a)/x^3 + b*log(c)/x^3)/b","A",0
23,1,153,0,0.206635," ","integrate(log(c*(b*x^3+a)^p)/x^5,x, algorithm=""giac"")","\frac{1}{8} \, b^{2} p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{2}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a^{2}} + \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a^{2} b^{2}} - \frac{\left(-a b^{2}\right)^{\frac{2}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a^{2} b^{2}}\right)} - \frac{p \log\left(b x^{3} + a\right)}{4 \, x^{4}} - \frac{3 \, b p x^{3} + a \log\left(c\right)}{4 \, a x^{4}}"," ",0,"1/8*b^2*p*(2*(-a/b)^(2/3)*log(abs(x - (-a/b)^(1/3)))/a^2 + 2*sqrt(3)*(-a*b^2)^(2/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a^2*b^2) - (-a*b^2)^(2/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a^2*b^2)) - 1/4*p*log(b*x^3 + a)/x^4 - 1/4*(3*b*p*x^3 + a*log(c))/(a*x^4)","A",0
24,1,149,0,0.211353," ","integrate(log(c*(b*x^3+a)^p)/x^6,x, algorithm=""giac"")","\frac{b^{2} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{5 \, a^{2}} - \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b p \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{5 \, a^{2}} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} b p \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{10 \, a^{2}} - \frac{p \log\left(b x^{3} + a\right)}{5 \, x^{5}} - \frac{3 \, b p x^{3} + 2 \, a \log\left(c\right)}{10 \, a x^{5}}"," ",0,"1/5*b^2*p*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a^2 - 1/5*sqrt(3)*(-a*b^2)^(1/3)*b*p*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/a^2 - 1/10*(-a*b^2)^(1/3)*b*p*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/a^2 - 1/5*p*log(b*x^3 + a)/x^5 - 1/10*(3*b*p*x^3 + 2*a*log(c))/(a*x^5)","A",0
25,1,132,0,0.176797," ","integrate(log(c*(b*x^3+a)^p)/x^7,x, algorithm=""giac"")","-\frac{\frac{b^{3} p \log\left(b x^{3} + a\right)}{{\left(b x^{3} + a\right)}^{2} - 2 \, {\left(b x^{3} + a\right)} a + a^{2}} - \frac{b^{3} p \log\left(b x^{3} + a\right)}{a^{2}} + \frac{b^{3} p \log\left(b x^{3}\right)}{a^{2}} + \frac{{\left(b x^{3} + a\right)} b^{3} p - a b^{3} p + a b^{3} \log\left(c\right)}{{\left(b x^{3} + a\right)}^{2} a - 2 \, {\left(b x^{3} + a\right)} a^{2} + a^{3}}}{6 \, b}"," ",0,"-1/6*(b^3*p*log(b*x^3 + a)/((b*x^3 + a)^2 - 2*(b*x^3 + a)*a + a^2) - b^3*p*log(b*x^3 + a)/a^2 + b^3*p*log(b*x^3)/a^2 + ((b*x^3 + a)*b^3*p - a*b^3*p + a*b^3*log(c))/((b*x^3 + a)^2*a - 2*(b*x^3 + a)*a^2 + a^3))/b","B",0
26,1,308,0,0.194652," ","integrate(x^4*log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{\frac{12 \, b^{6} p \log\left(\frac{a x + b}{x}\right)}{a^{5} - \frac{5 \, {\left(a x + b\right)} a^{4}}{x} + \frac{10 \, {\left(a x + b\right)}^{2} a^{3}}{x^{2}} - \frac{10 \, {\left(a x + b\right)}^{3} a^{2}}{x^{3}} + \frac{5 \, {\left(a x + b\right)}^{4} a}{x^{4}} - \frac{{\left(a x + b\right)}^{5}}{x^{5}}} + \frac{12 \, b^{6} p \log\left(-a + \frac{a x + b}{x}\right)}{a^{5}} - \frac{12 \, b^{6} p \log\left(\frac{a x + b}{x}\right)}{a^{5}} - \frac{25 \, a^{4} b^{6} p - 12 \, a^{4} b^{6} \log\left(c\right) - \frac{77 \, {\left(a x + b\right)} a^{3} b^{6} p}{x} + \frac{94 \, {\left(a x + b\right)}^{2} a^{2} b^{6} p}{x^{2}} - \frac{54 \, {\left(a x + b\right)}^{3} a b^{6} p}{x^{3}} + \frac{12 \, {\left(a x + b\right)}^{4} b^{6} p}{x^{4}}}{a^{9} - \frac{5 \, {\left(a x + b\right)} a^{8}}{x} + \frac{10 \, {\left(a x + b\right)}^{2} a^{7}}{x^{2}} - \frac{10 \, {\left(a x + b\right)}^{3} a^{6}}{x^{3}} + \frac{5 \, {\left(a x + b\right)}^{4} a^{5}}{x^{4}} - \frac{{\left(a x + b\right)}^{5} a^{4}}{x^{5}}}}{60 \, b}"," ",0,"-1/60*(12*b^6*p*log((a*x + b)/x)/(a^5 - 5*(a*x + b)*a^4/x + 10*(a*x + b)^2*a^3/x^2 - 10*(a*x + b)^3*a^2/x^3 + 5*(a*x + b)^4*a/x^4 - (a*x + b)^5/x^5) + 12*b^6*p*log(-a + (a*x + b)/x)/a^5 - 12*b^6*p*log((a*x + b)/x)/a^5 - (25*a^4*b^6*p - 12*a^4*b^6*log(c) - 77*(a*x + b)*a^3*b^6*p/x + 94*(a*x + b)^2*a^2*b^6*p/x^2 - 54*(a*x + b)^3*a*b^6*p/x^3 + 12*(a*x + b)^4*b^6*p/x^4)/(a^9 - 5*(a*x + b)*a^8/x + 10*(a*x + b)^2*a^7/x^2 - 10*(a*x + b)^3*a^6/x^3 + 5*(a*x + b)^4*a^5/x^4 - (a*x + b)^5*a^4/x^5))/b","B",0
27,1,257,0,0.184992," ","integrate(x^3*log(c*(a+b/x)^p),x, algorithm=""giac"")","\frac{\frac{6 \, b^{5} p \log\left(\frac{a x + b}{x}\right)}{a^{4} - \frac{4 \, {\left(a x + b\right)} a^{3}}{x} + \frac{6 \, {\left(a x + b\right)}^{2} a^{2}}{x^{2}} - \frac{4 \, {\left(a x + b\right)}^{3} a}{x^{3}} + \frac{{\left(a x + b\right)}^{4}}{x^{4}}} + \frac{6 \, b^{5} p \log\left(-a + \frac{a x + b}{x}\right)}{a^{4}} - \frac{6 \, b^{5} p \log\left(\frac{a x + b}{x}\right)}{a^{4}} - \frac{11 \, a^{3} b^{5} p - 6 \, a^{3} b^{5} \log\left(c\right) - \frac{26 \, {\left(a x + b\right)} a^{2} b^{5} p}{x} + \frac{21 \, {\left(a x + b\right)}^{2} a b^{5} p}{x^{2}} - \frac{6 \, {\left(a x + b\right)}^{3} b^{5} p}{x^{3}}}{a^{7} - \frac{4 \, {\left(a x + b\right)} a^{6}}{x} + \frac{6 \, {\left(a x + b\right)}^{2} a^{5}}{x^{2}} - \frac{4 \, {\left(a x + b\right)}^{3} a^{4}}{x^{3}} + \frac{{\left(a x + b\right)}^{4} a^{3}}{x^{4}}}}{24 \, b}"," ",0,"1/24*(6*b^5*p*log((a*x + b)/x)/(a^4 - 4*(a*x + b)*a^3/x + 6*(a*x + b)^2*a^2/x^2 - 4*(a*x + b)^3*a/x^3 + (a*x + b)^4/x^4) + 6*b^5*p*log(-a + (a*x + b)/x)/a^4 - 6*b^5*p*log((a*x + b)/x)/a^4 - (11*a^3*b^5*p - 6*a^3*b^5*log(c) - 26*(a*x + b)*a^2*b^5*p/x + 21*(a*x + b)^2*a*b^5*p/x^2 - 6*(a*x + b)^3*b^5*p/x^3)/(a^7 - 4*(a*x + b)*a^6/x + 6*(a*x + b)^2*a^5/x^2 - 4*(a*x + b)^3*a^4/x^3 + (a*x + b)^4*a^3/x^4))/b","B",0
28,1,210,0,0.197972," ","integrate(x^2*log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{\frac{2 \, b^{4} p \log\left(\frac{a x + b}{x}\right)}{a^{3} - \frac{3 \, {\left(a x + b\right)} a^{2}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a}{x^{2}} - \frac{{\left(a x + b\right)}^{3}}{x^{3}}} + \frac{2 \, b^{4} p \log\left(-a + \frac{a x + b}{x}\right)}{a^{3}} - \frac{2 \, b^{4} p \log\left(\frac{a x + b}{x}\right)}{a^{3}} - \frac{3 \, a^{2} b^{4} p - 2 \, a^{2} b^{4} \log\left(c\right) - \frac{5 \, {\left(a x + b\right)} a b^{4} p}{x} + \frac{2 \, {\left(a x + b\right)}^{2} b^{4} p}{x^{2}}}{a^{5} - \frac{3 \, {\left(a x + b\right)} a^{4}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a^{3}}{x^{2}} - \frac{{\left(a x + b\right)}^{3} a^{2}}{x^{3}}}}{6 \, b}"," ",0,"-1/6*(2*b^4*p*log((a*x + b)/x)/(a^3 - 3*(a*x + b)*a^2/x + 3*(a*x + b)^2*a/x^2 - (a*x + b)^3/x^3) + 2*b^4*p*log(-a + (a*x + b)/x)/a^3 - 2*b^4*p*log((a*x + b)/x)/a^3 - (3*a^2*b^4*p - 2*a^2*b^4*log(c) - 5*(a*x + b)*a*b^4*p/x + 2*(a*x + b)^2*b^4*p/x^2)/(a^5 - 3*(a*x + b)*a^4/x + 3*(a*x + b)^2*a^3/x^2 - (a*x + b)^3*a^2/x^3))/b","B",0
29,1,152,0,0.183815," ","integrate(x*log(c*(a+b/x)^p),x, algorithm=""giac"")","\frac{\frac{b^{3} p \log\left(\frac{a x + b}{x}\right)}{a^{2} - \frac{2 \, {\left(a x + b\right)} a}{x} + \frac{{\left(a x + b\right)}^{2}}{x^{2}}} + \frac{b^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{a^{2}} - \frac{b^{3} p \log\left(\frac{a x + b}{x}\right)}{a^{2}} - \frac{a b^{3} p - a b^{3} \log\left(c\right) - \frac{{\left(a x + b\right)} b^{3} p}{x}}{a^{3} - \frac{2 \, {\left(a x + b\right)} a^{2}}{x} + \frac{{\left(a x + b\right)}^{2} a}{x^{2}}}}{2 \, b}"," ",0,"1/2*(b^3*p*log((a*x + b)/x)/(a^2 - 2*(a*x + b)*a/x + (a*x + b)^2/x^2) + b^3*p*log(-a + (a*x + b)/x)/a^2 - b^3*p*log((a*x + b)/x)/a^2 - (a*b^3*p - a*b^3*log(c) - (a*x + b)*b^3*p/x)/(a^3 - 2*(a*x + b)*a^2/x + (a*x + b)^2*a/x^2))/b","B",0
30,1,96,0,0.163277," ","integrate(log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{\frac{b^{2} p \log\left(-a + \frac{a x + b}{x}\right)}{a} + \frac{b^{2} p \log\left(\frac{a x + b}{x}\right)}{a - \frac{a x + b}{x}} - \frac{b^{2} p \log\left(\frac{a x + b}{x}\right)}{a} + \frac{b^{2} \log\left(c\right)}{a - \frac{a x + b}{x}}}{b}"," ",0,"-(b^2*p*log(-a + (a*x + b)/x)/a + b^2*p*log((a*x + b)/x)/(a - (a*x + b)/x) - b^2*p*log((a*x + b)/x)/a + b^2*log(c)/(a - (a*x + b)/x))/b","B",0
31,1,152,0,0.517968," ","integrate(log(c*(a+b/x)^p)/x,x, algorithm=""giac"")","-\frac{\frac{b^{3} p \log\left(\frac{a x + b}{x}\right)}{a^{2} - \frac{2 \, {\left(a x + b\right)} a}{x} + \frac{{\left(a x + b\right)}^{2}}{x^{2}}} + \frac{b^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{a^{2}} - \frac{b^{3} p \log\left(\frac{a x + b}{x}\right)}{a^{2}} - \frac{a b^{3} p - a b^{3} \log\left(c\right) - \frac{{\left(a x + b\right)} b^{3} p}{x}}{a^{3} - \frac{2 \, {\left(a x + b\right)} a^{2}}{x} + \frac{{\left(a x + b\right)}^{2} a}{x^{2}}}}{2 \, b^{2}}"," ",0,"-1/2*(b^3*p*log((a*x + b)/x)/(a^2 - 2*(a*x + b)*a/x + (a*x + b)^2/x^2) + b^3*p*log(-a + (a*x + b)/x)/a^2 - b^3*p*log((a*x + b)/x)/a^2 - (a*b^3*p - a*b^3*log(c) - (a*x + b)*b^3*p/x)/(a^3 - 2*(a*x + b)*a^2/x + (a*x + b)^2*a/x^2))/b^2","B",0
32,1,63,0,0.175864," ","integrate(log(c*(a+b/x)^p)/x^2,x, algorithm=""giac"")","-\frac{\frac{{\left(a x + b\right)} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{x} - \frac{{\left(a x + b\right)} p}{x} + \frac{{\left(a x + b\right)} \log\left(c\right)}{x}}{b}"," ",0,"-((a*x + b)*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/x - (a*x + b)*p/x + (a*x + b)*log(c)/x)/b","B",0
33,1,150,0,0.191099," ","integrate(log(c*(a+b/x)^p)/x^3,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(a x + b\right)} a p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b x} - \frac{4 \, {\left(a x + b\right)} a p}{b x} - \frac{2 \, {\left(a x + b\right)}^{2} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b x^{2}} + \frac{4 \, {\left(a x + b\right)} a \log\left(c\right)}{b x} + \frac{{\left(a x + b\right)}^{2} p}{b x^{2}} - \frac{2 \, {\left(a x + b\right)}^{2} \log\left(c\right)}{b x^{2}}}{4 \, b}"," ",0,"1/4*(4*(a*x + b)*a*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b*x) - 4*(a*x + b)*a*p/(b*x) - 2*(a*x + b)^2*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b*x^2) + 4*(a*x + b)*a*log(c)/(b*x) + (a*x + b)^2*p/(b*x^2) - 2*(a*x + b)^2*log(c)/(b*x^2))/b","B",0
34,1,234,0,0.224583," ","integrate(log(c*(a+b/x)^p)/x^4,x, algorithm=""giac"")","-\frac{\frac{18 \, {\left(a x + b\right)} a^{2} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{2} x} - \frac{18 \, {\left(a x + b\right)} a^{2} p}{b^{2} x} - \frac{18 \, {\left(a x + b\right)}^{2} a p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{2} x^{2}} + \frac{18 \, {\left(a x + b\right)} a^{2} \log\left(c\right)}{b^{2} x} + \frac{9 \, {\left(a x + b\right)}^{2} a p}{b^{2} x^{2}} + \frac{6 \, {\left(a x + b\right)}^{3} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{2} x^{3}} - \frac{18 \, {\left(a x + b\right)}^{2} a \log\left(c\right)}{b^{2} x^{2}} - \frac{2 \, {\left(a x + b\right)}^{3} p}{b^{2} x^{3}} + \frac{6 \, {\left(a x + b\right)}^{3} \log\left(c\right)}{b^{2} x^{3}}}{18 \, b}"," ",0,"-1/18*(18*(a*x + b)*a^2*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^2*x) - 18*(a*x + b)*a^2*p/(b^2*x) - 18*(a*x + b)^2*a*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^2*x^2) + 18*(a*x + b)*a^2*log(c)/(b^2*x) + 9*(a*x + b)^2*a*p/(b^2*x^2) + 6*(a*x + b)^3*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^2*x^3) - 18*(a*x + b)^2*a*log(c)/(b^2*x^2) - 2*(a*x + b)^3*p/(b^2*x^3) + 6*(a*x + b)^3*log(c)/(b^2*x^3))/b","B",0
35,1,317,0,0.204317," ","integrate(log(c*(a+b/x)^p)/x^5,x, algorithm=""giac"")","\frac{\frac{48 \, {\left(a x + b\right)} a^{3} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{3} x} - \frac{48 \, {\left(a x + b\right)} a^{3} p}{b^{3} x} - \frac{72 \, {\left(a x + b\right)}^{2} a^{2} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{3} x^{2}} + \frac{48 \, {\left(a x + b\right)} a^{3} \log\left(c\right)}{b^{3} x} + \frac{36 \, {\left(a x + b\right)}^{2} a^{2} p}{b^{3} x^{2}} + \frac{48 \, {\left(a x + b\right)}^{3} a p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{3} x^{3}} - \frac{72 \, {\left(a x + b\right)}^{2} a^{2} \log\left(c\right)}{b^{3} x^{2}} - \frac{16 \, {\left(a x + b\right)}^{3} a p}{b^{3} x^{3}} - \frac{12 \, {\left(a x + b\right)}^{4} p \log\left(-b {\left(\frac{a}{b} - \frac{a x + b}{b x}\right)} + a\right)}{b^{3} x^{4}} + \frac{48 \, {\left(a x + b\right)}^{3} a \log\left(c\right)}{b^{3} x^{3}} + \frac{3 \, {\left(a x + b\right)}^{4} p}{b^{3} x^{4}} - \frac{12 \, {\left(a x + b\right)}^{4} \log\left(c\right)}{b^{3} x^{4}}}{48 \, b}"," ",0,"1/48*(48*(a*x + b)*a^3*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^3*x) - 48*(a*x + b)*a^3*p/(b^3*x) - 72*(a*x + b)^2*a^2*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^3*x^2) + 48*(a*x + b)*a^3*log(c)/(b^3*x) + 36*(a*x + b)^2*a^2*p/(b^3*x^2) + 48*(a*x + b)^3*a*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^3*x^3) - 72*(a*x + b)^2*a^2*log(c)/(b^3*x^2) - 16*(a*x + b)^3*a*p/(b^3*x^3) - 12*(a*x + b)^4*p*log(-b*(a/b - (a*x + b)/(b*x)) + a)/(b^3*x^4) + 48*(a*x + b)^3*a*log(c)/(b^3*x^3) + 3*(a*x + b)^4*p/(b^3*x^4) - 12*(a*x + b)^4*log(c)/(b^3*x^4))/b","B",0
36,1,75,0,0.213874," ","integrate(x^4*log(c*(a+b/x^2)^p),x, algorithm=""giac"")","\frac{1}{5} \, p x^{5} \log\left(a x^{2} + b\right) - \frac{1}{5} \, p x^{5} \log\left(x^{2}\right) + \frac{1}{5} \, x^{5} \log\left(c\right) + \frac{2 \, b p x^{3}}{15 \, a} + \frac{2 \, b^{3} p \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{5 \, \sqrt{a b} a^{2}} - \frac{2 \, b^{2} p x}{5 \, a^{2}}"," ",0,"1/5*p*x^5*log(a*x^2 + b) - 1/5*p*x^5*log(x^2) + 1/5*x^5*log(c) + 2/15*b*p*x^3/a + 2/5*b^3*p*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a^2) - 2/5*b^2*p*x/a^2","A",0
37,1,59,0,0.167673," ","integrate(x^3*log(c*(a+b/x^2)^p),x, algorithm=""giac"")","\frac{1}{4} \, p x^{4} \log\left(a x^{2} + b\right) - \frac{1}{4} \, p x^{4} \log\left(x^{2}\right) + \frac{1}{4} \, x^{4} \log\left(c\right) + \frac{b p x^{2}}{4 \, a} - \frac{b^{2} p \log\left(a x^{2} + b\right)}{4 \, a^{2}}"," ",0,"1/4*p*x^4*log(a*x^2 + b) - 1/4*p*x^4*log(x^2) + 1/4*x^4*log(c) + 1/4*b*p*x^2/a - 1/4*b^2*p*log(a*x^2 + b)/a^2","A",0
38,1,63,0,0.173191," ","integrate(x^2*log(c*(a+b/x^2)^p),x, algorithm=""giac"")","\frac{1}{3} \, p x^{3} \log\left(a x^{2} + b\right) - \frac{1}{3} \, p x^{3} \log\left(x^{2}\right) + \frac{1}{3} \, x^{3} \log\left(c\right) - \frac{2 \, b^{2} p \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} a} + \frac{2 \, b p x}{3 \, a}"," ",0,"1/3*p*x^3*log(a*x^2 + b) - 1/3*p*x^3*log(x^2) + 1/3*x^3*log(c) - 2/3*b^2*p*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*a) + 2/3*b*p*x/a","A",0
39,1,47,0,0.166654," ","integrate(x*log(c*(a+b/x^2)^p),x, algorithm=""giac"")","\frac{1}{2} \, p x^{2} \log\left(a x^{2} + b\right) - \frac{1}{2} \, p x^{2} \log\left(x^{2}\right) + \frac{1}{2} \, x^{2} \log\left(c\right) + \frac{b p \log\left(a x^{2} + b\right)}{2 \, a}"," ",0,"1/2*p*x^2*log(a*x^2 + b) - 1/2*p*x^2*log(x^2) + 1/2*x^2*log(c) + 1/2*b*p*log(a*x^2 + b)/a","A",0
40,1,42,0,0.189529," ","integrate(log(c*(a+b/x^2)^p),x, algorithm=""giac"")","p x \log\left(a x^{2} + b\right) - p x \log\left(x^{2}\right) + \frac{2 \, b p \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}} + x \log\left(c\right)"," ",0,"p*x*log(a*x^2 + b) - p*x*log(x^2) + 2*b*p*arctan(a*x/sqrt(a*b))/sqrt(a*b) + x*log(c)","A",0
41,0,0,0,0.000000," ","integrate(log(c*(a+b/x^2)^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((a + b/x^2)^p*c)/x, x)","F",0
42,1,54,0,0.172465," ","integrate(log(c*(a+b/x^2)^p)/x^2,x, algorithm=""giac"")","\frac{2 \, a p \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}} - \frac{p \log\left(a x^{2} + b\right)}{x} + \frac{p \log\left(x^{2}\right)}{x} + \frac{2 \, p - \log\left(c\right)}{x}"," ",0,"2*a*p*arctan(a*x/sqrt(a*b))/sqrt(a*b) - p*log(a*x^2 + b)/x + p*log(x^2)/x + (2*p - log(c))/x","A",0
43,1,65,0,0.172097," ","integrate(log(c*(a+b/x^2)^p)/x^3,x, algorithm=""giac"")","-\frac{a p \log\left(a x^{2} + b\right)}{2 \, b} + \frac{a p \log\left(x\right)}{b} - \frac{p \log\left(a x^{2} + b\right)}{2 \, x^{2}} + \frac{p \log\left(x^{2}\right)}{2 \, x^{2}} + \frac{b p - b \log\left(c\right)}{2 \, b x^{2}}"," ",0,"-1/2*a*p*log(a*x^2 + b)/b + a*p*log(x)/b - 1/2*p*log(a*x^2 + b)/x^2 + 1/2*p*log(x^2)/x^2 + 1/2*(b*p - b*log(c))/(b*x^2)","B",0
44,1,73,0,0.192813," ","integrate(log(c*(a+b/x^2)^p)/x^4,x, algorithm=""giac"")","-\frac{2 \, a^{2} p \arctan\left(\frac{a x}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b} - \frac{p \log\left(a x^{2} + b\right)}{3 \, x^{3}} + \frac{p \log\left(x^{2}\right)}{3 \, x^{3}} - \frac{6 \, a p x^{2} - 2 \, b p + 3 \, b \log\left(c\right)}{9 \, b x^{3}}"," ",0,"-2/3*a^2*p*arctan(a*x/sqrt(a*b))/(sqrt(a*b)*b) - 1/3*p*log(a*x^2 + b)/x^3 + 1/3*p*log(x^2)/x^3 - 1/9*(6*a*p*x^2 - 2*b*p + 3*b*log(c))/(b*x^3)","A",0
45,1,110,0,0.350483," ","integrate(log(1+b/x)/x,x, algorithm=""giac"")","-\frac{b^{3} {\left(\frac{1}{\frac{b + x}{x} - 1} - \log\left(\frac{{\left| b + x \right|}}{{\left| x \right|}}\right) + \log\left({\left| \frac{b + x}{x} - 1 \right|}\right)\right)} + \frac{b^{3} \log\left(-b {\left(\frac{{\left(b - \frac{1}{\frac{1}{b} - \frac{b + x}{b x}}\right)} {\left(\frac{1}{b} - \frac{b + x}{b x}\right)}}{b} + \frac{1}{b}\right)} + 1\right)}{{\left(\frac{b + x}{x} - 1\right)}^{2}}}{2 \, b^{2}}"," ",0,"-1/2*(b^3*(1/((b + x)/x - 1) - log(abs(b + x)/abs(x)) + log(abs((b + x)/x - 1))) + b^3*log(-b*((b - 1/(1/b - (b + x)/(b*x)))*(1/b - (b + x)/(b*x))/b + 1/b) + 1)/((b + x)/x - 1)^2)/b^2","B",0
46,1,339,0,0.224484," ","integrate(x^3*log(c*(a+b*x^(1/2))^p),x, algorithm=""giac"")","\frac{840 \, b x^{4} \log\left(c\right) + {\left(\frac{840 \, {\left(b \sqrt{x} + a\right)}^{8} \log\left(b \sqrt{x} + a\right)}{b^{7}} - \frac{6720 \, {\left(b \sqrt{x} + a\right)}^{7} a \log\left(b \sqrt{x} + a\right)}{b^{7}} + \frac{23520 \, {\left(b \sqrt{x} + a\right)}^{6} a^{2} \log\left(b \sqrt{x} + a\right)}{b^{7}} - \frac{47040 \, {\left(b \sqrt{x} + a\right)}^{5} a^{3} \log\left(b \sqrt{x} + a\right)}{b^{7}} + \frac{58800 \, {\left(b \sqrt{x} + a\right)}^{4} a^{4} \log\left(b \sqrt{x} + a\right)}{b^{7}} - \frac{47040 \, {\left(b \sqrt{x} + a\right)}^{3} a^{5} \log\left(b \sqrt{x} + a\right)}{b^{7}} + \frac{23520 \, {\left(b \sqrt{x} + a\right)}^{2} a^{6} \log\left(b \sqrt{x} + a\right)}{b^{7}} - \frac{6720 \, {\left(b \sqrt{x} + a\right)} a^{7} \log\left(b \sqrt{x} + a\right)}{b^{7}} - \frac{105 \, {\left(b \sqrt{x} + a\right)}^{8}}{b^{7}} + \frac{960 \, {\left(b \sqrt{x} + a\right)}^{7} a}{b^{7}} - \frac{3920 \, {\left(b \sqrt{x} + a\right)}^{6} a^{2}}{b^{7}} + \frac{9408 \, {\left(b \sqrt{x} + a\right)}^{5} a^{3}}{b^{7}} - \frac{14700 \, {\left(b \sqrt{x} + a\right)}^{4} a^{4}}{b^{7}} + \frac{15680 \, {\left(b \sqrt{x} + a\right)}^{3} a^{5}}{b^{7}} - \frac{11760 \, {\left(b \sqrt{x} + a\right)}^{2} a^{6}}{b^{7}} + \frac{6720 \, {\left(b \sqrt{x} + a\right)} a^{7}}{b^{7}}\right)} p}{3360 \, b}"," ",0,"1/3360*(840*b*x^4*log(c) + (840*(b*sqrt(x) + a)^8*log(b*sqrt(x) + a)/b^7 - 6720*(b*sqrt(x) + a)^7*a*log(b*sqrt(x) + a)/b^7 + 23520*(b*sqrt(x) + a)^6*a^2*log(b*sqrt(x) + a)/b^7 - 47040*(b*sqrt(x) + a)^5*a^3*log(b*sqrt(x) + a)/b^7 + 58800*(b*sqrt(x) + a)^4*a^4*log(b*sqrt(x) + a)/b^7 - 47040*(b*sqrt(x) + a)^3*a^5*log(b*sqrt(x) + a)/b^7 + 23520*(b*sqrt(x) + a)^2*a^6*log(b*sqrt(x) + a)/b^7 - 6720*(b*sqrt(x) + a)*a^7*log(b*sqrt(x) + a)/b^7 - 105*(b*sqrt(x) + a)^8/b^7 + 960*(b*sqrt(x) + a)^7*a/b^7 - 3920*(b*sqrt(x) + a)^6*a^2/b^7 + 9408*(b*sqrt(x) + a)^5*a^3/b^7 - 14700*(b*sqrt(x) + a)^4*a^4/b^7 + 15680*(b*sqrt(x) + a)^3*a^5/b^7 - 11760*(b*sqrt(x) + a)^2*a^6/b^7 + 6720*(b*sqrt(x) + a)*a^7/b^7)*p)/b","B",0
47,1,255,0,0.179831," ","integrate(x^2*log(c*(a+b*x^(1/2))^p),x, algorithm=""giac"")","\frac{60 \, b x^{3} \log\left(c\right) + {\left(\frac{60 \, {\left(b \sqrt{x} + a\right)}^{6} \log\left(b \sqrt{x} + a\right)}{b^{5}} - \frac{360 \, {\left(b \sqrt{x} + a\right)}^{5} a \log\left(b \sqrt{x} + a\right)}{b^{5}} + \frac{900 \, {\left(b \sqrt{x} + a\right)}^{4} a^{2} \log\left(b \sqrt{x} + a\right)}{b^{5}} - \frac{1200 \, {\left(b \sqrt{x} + a\right)}^{3} a^{3} \log\left(b \sqrt{x} + a\right)}{b^{5}} + \frac{900 \, {\left(b \sqrt{x} + a\right)}^{2} a^{4} \log\left(b \sqrt{x} + a\right)}{b^{5}} - \frac{360 \, {\left(b \sqrt{x} + a\right)} a^{5} \log\left(b \sqrt{x} + a\right)}{b^{5}} - \frac{10 \, {\left(b \sqrt{x} + a\right)}^{6}}{b^{5}} + \frac{72 \, {\left(b \sqrt{x} + a\right)}^{5} a}{b^{5}} - \frac{225 \, {\left(b \sqrt{x} + a\right)}^{4} a^{2}}{b^{5}} + \frac{400 \, {\left(b \sqrt{x} + a\right)}^{3} a^{3}}{b^{5}} - \frac{450 \, {\left(b \sqrt{x} + a\right)}^{2} a^{4}}{b^{5}} + \frac{360 \, {\left(b \sqrt{x} + a\right)} a^{5}}{b^{5}}\right)} p}{180 \, b}"," ",0,"1/180*(60*b*x^3*log(c) + (60*(b*sqrt(x) + a)^6*log(b*sqrt(x) + a)/b^5 - 360*(b*sqrt(x) + a)^5*a*log(b*sqrt(x) + a)/b^5 + 900*(b*sqrt(x) + a)^4*a^2*log(b*sqrt(x) + a)/b^5 - 1200*(b*sqrt(x) + a)^3*a^3*log(b*sqrt(x) + a)/b^5 + 900*(b*sqrt(x) + a)^2*a^4*log(b*sqrt(x) + a)/b^5 - 360*(b*sqrt(x) + a)*a^5*log(b*sqrt(x) + a)/b^5 - 10*(b*sqrt(x) + a)^6/b^5 + 72*(b*sqrt(x) + a)^5*a/b^5 - 225*(b*sqrt(x) + a)^4*a^2/b^5 + 400*(b*sqrt(x) + a)^3*a^3/b^5 - 450*(b*sqrt(x) + a)^2*a^4/b^5 + 360*(b*sqrt(x) + a)*a^5/b^5)*p)/b","B",0
48,1,171,0,0.221608," ","integrate(x*log(c*(a+b*x^(1/2))^p),x, algorithm=""giac"")","\frac{12 \, b x^{2} \log\left(c\right) + {\left(\frac{12 \, {\left(b \sqrt{x} + a\right)}^{4} \log\left(b \sqrt{x} + a\right)}{b^{3}} - \frac{48 \, {\left(b \sqrt{x} + a\right)}^{3} a \log\left(b \sqrt{x} + a\right)}{b^{3}} + \frac{72 \, {\left(b \sqrt{x} + a\right)}^{2} a^{2} \log\left(b \sqrt{x} + a\right)}{b^{3}} - \frac{48 \, {\left(b \sqrt{x} + a\right)} a^{3} \log\left(b \sqrt{x} + a\right)}{b^{3}} - \frac{3 \, {\left(b \sqrt{x} + a\right)}^{4}}{b^{3}} + \frac{16 \, {\left(b \sqrt{x} + a\right)}^{3} a}{b^{3}} - \frac{36 \, {\left(b \sqrt{x} + a\right)}^{2} a^{2}}{b^{3}} + \frac{48 \, {\left(b \sqrt{x} + a\right)} a^{3}}{b^{3}}\right)} p}{24 \, b}"," ",0,"1/24*(12*b*x^2*log(c) + (12*(b*sqrt(x) + a)^4*log(b*sqrt(x) + a)/b^3 - 48*(b*sqrt(x) + a)^3*a*log(b*sqrt(x) + a)/b^3 + 72*(b*sqrt(x) + a)^2*a^2*log(b*sqrt(x) + a)/b^3 - 48*(b*sqrt(x) + a)*a^3*log(b*sqrt(x) + a)/b^3 - 3*(b*sqrt(x) + a)^4/b^3 + 16*(b*sqrt(x) + a)^3*a/b^3 - 36*(b*sqrt(x) + a)^2*a^2/b^3 + 48*(b*sqrt(x) + a)*a^3/b^3)*p)/b","B",0
49,1,97,0,0.175600," ","integrate(log(c*(a+b*x^(1/2))^p),x, algorithm=""giac"")","\frac{\frac{{\left(2 \, {\left(b \sqrt{x} + a\right)}^{2} \log\left(b \sqrt{x} + a\right) - 4 \, {\left(b \sqrt{x} + a\right)} a \log\left(b \sqrt{x} + a\right) - {\left(b \sqrt{x} + a\right)}^{2} + 4 \, {\left(b \sqrt{x} + a\right)} a\right)} p}{b} + \frac{2 \, {\left({\left(b \sqrt{x} + a\right)}^{2} - 2 \, {\left(b \sqrt{x} + a\right)} a\right)} \log\left(c\right)}{b}}{2 \, b}"," ",0,"1/2*((2*(b*sqrt(x) + a)^2*log(b*sqrt(x) + a) - 4*(b*sqrt(x) + a)*a*log(b*sqrt(x) + a) - (b*sqrt(x) + a)^2 + 4*(b*sqrt(x) + a)*a)*p/b + 2*((b*sqrt(x) + a)^2 - 2*(b*sqrt(x) + a)*a)*log(c)/b)/b","B",0
50,0,0,0,0.000000," ","integrate(log(c*(a+b*x^(1/2))^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(b \sqrt{x} + a\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((b*sqrt(x) + a)^p*c)/x, x)","F",0
51,1,132,0,0.176869," ","integrate(log(c*(a+b*x^(1/2))^p)/x^2,x, algorithm=""giac"")","-\frac{\frac{b^{3} p \log\left(b \sqrt{x} + a\right)}{{\left(b \sqrt{x} + a\right)}^{2} - 2 \, {\left(b \sqrt{x} + a\right)} a + a^{2}} - \frac{b^{3} p \log\left(b \sqrt{x} + a\right)}{a^{2}} + \frac{b^{3} p \log\left(b \sqrt{x}\right)}{a^{2}} + \frac{{\left(b \sqrt{x} + a\right)} b^{3} p - a b^{3} p + a b^{3} \log\left(c\right)}{{\left(b \sqrt{x} + a\right)}^{2} a - 2 \, {\left(b \sqrt{x} + a\right)} a^{2} + a^{3}}}{b}"," ",0,"-(b^3*p*log(b*sqrt(x) + a)/((b*sqrt(x) + a)^2 - 2*(b*sqrt(x) + a)*a + a^2) - b^3*p*log(b*sqrt(x) + a)/a^2 + b^3*p*log(b*sqrt(x))/a^2 + ((b*sqrt(x) + a)*b^3*p - a*b^3*p + a*b^3*log(c))/((b*sqrt(x) + a)^2*a - 2*(b*sqrt(x) + a)*a^2 + a^3))/b","B",0
52,1,232,0,0.182431," ","integrate(log(c*(a+b*x^(1/2))^p)/x^3,x, algorithm=""giac"")","-\frac{\frac{6 \, b^{5} p \log\left(b \sqrt{x} + a\right)}{{\left(b \sqrt{x} + a\right)}^{4} - 4 \, {\left(b \sqrt{x} + a\right)}^{3} a + 6 \, {\left(b \sqrt{x} + a\right)}^{2} a^{2} - 4 \, {\left(b \sqrt{x} + a\right)} a^{3} + a^{4}} - \frac{6 \, b^{5} p \log\left(b \sqrt{x} + a\right)}{a^{4}} + \frac{6 \, b^{5} p \log\left(b \sqrt{x}\right)}{a^{4}} + \frac{6 \, {\left(b \sqrt{x} + a\right)}^{3} b^{5} p - 21 \, {\left(b \sqrt{x} + a\right)}^{2} a b^{5} p + 26 \, {\left(b \sqrt{x} + a\right)} a^{2} b^{5} p - 11 \, a^{3} b^{5} p + 6 \, a^{3} b^{5} \log\left(c\right)}{{\left(b \sqrt{x} + a\right)}^{4} a^{3} - 4 \, {\left(b \sqrt{x} + a\right)}^{3} a^{4} + 6 \, {\left(b \sqrt{x} + a\right)}^{2} a^{5} - 4 \, {\left(b \sqrt{x} + a\right)} a^{6} + a^{7}}}{12 \, b}"," ",0,"-1/12*(6*b^5*p*log(b*sqrt(x) + a)/((b*sqrt(x) + a)^4 - 4*(b*sqrt(x) + a)^3*a + 6*(b*sqrt(x) + a)^2*a^2 - 4*(b*sqrt(x) + a)*a^3 + a^4) - 6*b^5*p*log(b*sqrt(x) + a)/a^4 + 6*b^5*p*log(b*sqrt(x))/a^4 + (6*(b*sqrt(x) + a)^3*b^5*p - 21*(b*sqrt(x) + a)^2*a*b^5*p + 26*(b*sqrt(x) + a)*a^2*b^5*p - 11*a^3*b^5*p + 6*a^3*b^5*log(c))/((b*sqrt(x) + a)^4*a^3 - 4*(b*sqrt(x) + a)^3*a^4 + 6*(b*sqrt(x) + a)^2*a^5 - 4*(b*sqrt(x) + a)*a^6 + a^7))/b","B",0
53,1,324,0,0.188254," ","integrate(log(c*(a+b*x^(1/2))^p)/x^4,x, algorithm=""giac"")","-\frac{\frac{60 \, b^{7} p \log\left(b \sqrt{x} + a\right)}{{\left(b \sqrt{x} + a\right)}^{6} - 6 \, {\left(b \sqrt{x} + a\right)}^{5} a + 15 \, {\left(b \sqrt{x} + a\right)}^{4} a^{2} - 20 \, {\left(b \sqrt{x} + a\right)}^{3} a^{3} + 15 \, {\left(b \sqrt{x} + a\right)}^{2} a^{4} - 6 \, {\left(b \sqrt{x} + a\right)} a^{5} + a^{6}} - \frac{60 \, b^{7} p \log\left(b \sqrt{x} + a\right)}{a^{6}} + \frac{60 \, b^{7} p \log\left(b \sqrt{x}\right)}{a^{6}} + \frac{60 \, {\left(b \sqrt{x} + a\right)}^{5} b^{7} p - 330 \, {\left(b \sqrt{x} + a\right)}^{4} a b^{7} p + 740 \, {\left(b \sqrt{x} + a\right)}^{3} a^{2} b^{7} p - 855 \, {\left(b \sqrt{x} + a\right)}^{2} a^{3} b^{7} p + 522 \, {\left(b \sqrt{x} + a\right)} a^{4} b^{7} p - 137 \, a^{5} b^{7} p + 60 \, a^{5} b^{7} \log\left(c\right)}{{\left(b \sqrt{x} + a\right)}^{6} a^{5} - 6 \, {\left(b \sqrt{x} + a\right)}^{5} a^{6} + 15 \, {\left(b \sqrt{x} + a\right)}^{4} a^{7} - 20 \, {\left(b \sqrt{x} + a\right)}^{3} a^{8} + 15 \, {\left(b \sqrt{x} + a\right)}^{2} a^{9} - 6 \, {\left(b \sqrt{x} + a\right)} a^{10} + a^{11}}}{180 \, b}"," ",0,"-1/180*(60*b^7*p*log(b*sqrt(x) + a)/((b*sqrt(x) + a)^6 - 6*(b*sqrt(x) + a)^5*a + 15*(b*sqrt(x) + a)^4*a^2 - 20*(b*sqrt(x) + a)^3*a^3 + 15*(b*sqrt(x) + a)^2*a^4 - 6*(b*sqrt(x) + a)*a^5 + a^6) - 60*b^7*p*log(b*sqrt(x) + a)/a^6 + 60*b^7*p*log(b*sqrt(x))/a^6 + (60*(b*sqrt(x) + a)^5*b^7*p - 330*(b*sqrt(x) + a)^4*a*b^7*p + 740*(b*sqrt(x) + a)^3*a^2*b^7*p - 855*(b*sqrt(x) + a)^2*a^3*b^7*p + 522*(b*sqrt(x) + a)*a^4*b^7*p - 137*a^5*b^7*p + 60*a^5*b^7*log(c))/((b*sqrt(x) + a)^6*a^5 - 6*(b*sqrt(x) + a)^5*a^6 + 15*(b*sqrt(x) + a)^4*a^7 - 20*(b*sqrt(x) + a)^3*a^8 + 15*(b*sqrt(x) + a)^2*a^9 - 6*(b*sqrt(x) + a)*a^10 + a^11))/b","B",0
54,1,31,0,0.169287," ","integrate(log(a+b*x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(b \sqrt{x} + a\right)} \log\left(b \sqrt{x} + a\right) - b \sqrt{x} - a\right)}}{b}"," ",0,"2*((b*sqrt(x) + a)*log(b*sqrt(x) + a) - b*sqrt(x) - a)/b","A",0
55,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{3} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^3 + d)^p*c), x)","F",0
56,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{2} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^2 + d)^p*c), x)","F",0
57,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x+d)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*x + d)^p*c), x)","F",0
58,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e/x)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left(c {\left(d + \frac{e}{x}\right)}^{p}\right)\,{d x}"," ",0,"integrate((f*x)^m*log(c*(d + e/x)^p), x)","F",0
59,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e/x^2)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left(c {\left(d + \frac{e}{x^{2}}\right)}^{p}\right)\,{d x}"," ",0,"integrate((f*x)^m*log(c*(d + e/x^2)^p), x)","F",0
60,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e/x^3)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left(c {\left(d + \frac{e}{x^{3}}\right)}^{p}\right)\,{d x}"," ",0,"integrate((f*x)^m*log(c*(d + e/x^3)^p), x)","F",0
61,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e*x^(1/2))^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e \sqrt{x} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*sqrt(x) + d)^p*c), x)","F",0
62,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e/x^(1/2))^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{p}\right)\,{d x}"," ",0,"integrate((f*x)^m*log(c*(d + e/sqrt(x))^p), x)","F",0
63,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^n + d)^p*c), x)","F",0
64,0,0,0,0.000000," ","integrate((f*x)^(-1+3*n)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{3 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^(3*n - 1)*log((e*x^n + d)^p*c), x)","F",0
65,0,0,0,0.000000," ","integrate((f*x)^(-1+2*n)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{2 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^(2*n - 1)*log((e*x^n + d)^p*c), x)","F",0
66,0,0,0,0.000000," ","integrate((f*x)^(-1+n)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^(n - 1)*log((e*x^n + d)^p*c), x)","F",0
67,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/f/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{f x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/(f*x), x)","F",0
68,0,0,0,0.000000," ","integrate((f*x)^(-1-n)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{-n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^(-n - 1)*log((e*x^n + d)^p*c), x)","F",0
69,0,0,0,0.000000," ","integrate((f*x)^(-1-2*n)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \left(f x\right)^{-2 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^(-2*n - 1)*log((e*x^n + d)^p*c), x)","F",0
70,0,0,0,0.000000," ","integrate(x^2*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int x^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate(x^2*log((e*x^n + d)^p*c), x)","F",0
71,0,0,0,0.000000," ","integrate(x*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int x \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate(x*log((e*x^n + d)^p*c), x)","F",0
72,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c), x)","F",0
73,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/x, x)","F",0
74,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x^{2}}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/x^2, x)","F",0
75,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x^3,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x^{3}}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/x^3, x)","F",0
76,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x^4,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x^{4}}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/x^4, x)","F",0
77,1,325,0,0.187519," ","integrate(x^5*log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\frac{18 \, b x^{6} \log\left(c\right)^{2} + {\left(\frac{18 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)^{2}}{b^{2}} - \frac{54 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)^{2}}{b^{2}} + \frac{54 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)^{2}}{b^{2}} - \frac{12 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)}{b^{2}} + \frac{54 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)}{b^{2}} - \frac{108 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)}{b^{2}} + \frac{4 \, {\left(b x^{2} + a\right)}^{3}}{b^{2}} - \frac{27 \, {\left(b x^{2} + a\right)}^{2} a}{b^{2}} + \frac{108 \, {\left(b x^{2} + a\right)} a^{2}}{b^{2}}\right)} p^{2} + 6 \, {\left(\frac{6 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{18 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)}{b^{2}} + \frac{18 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{2 \, {\left(b x^{2} + a\right)}^{3}}{b^{2}} + \frac{9 \, {\left(b x^{2} + a\right)}^{2} a}{b^{2}} - \frac{18 \, {\left(b x^{2} + a\right)} a^{2}}{b^{2}}\right)} p \log\left(c\right)}{108 \, b}"," ",0,"1/108*(18*b*x^6*log(c)^2 + (18*(b*x^2 + a)^3*log(b*x^2 + a)^2/b^2 - 54*(b*x^2 + a)^2*a*log(b*x^2 + a)^2/b^2 + 54*(b*x^2 + a)*a^2*log(b*x^2 + a)^2/b^2 - 12*(b*x^2 + a)^3*log(b*x^2 + a)/b^2 + 54*(b*x^2 + a)^2*a*log(b*x^2 + a)/b^2 - 108*(b*x^2 + a)*a^2*log(b*x^2 + a)/b^2 + 4*(b*x^2 + a)^3/b^2 - 27*(b*x^2 + a)^2*a/b^2 + 108*(b*x^2 + a)*a^2/b^2)*p^2 + 6*(6*(b*x^2 + a)^3*log(b*x^2 + a)/b^2 - 18*(b*x^2 + a)^2*a*log(b*x^2 + a)/b^2 + 18*(b*x^2 + a)*a^2*log(b*x^2 + a)/b^2 - 2*(b*x^2 + a)^3/b^2 + 9*(b*x^2 + a)^2*a/b^2 - 18*(b*x^2 + a)*a^2/b^2)*p*log(c))/b","A",0
78,1,207,0,0.187138," ","integrate(x^3*log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\frac{\frac{{\left(2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right)^{2} - 4 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right)^{2} - 2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) + 8 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) + {\left(b x^{2} + a\right)}^{2} - 8 \, {\left(b x^{2} + a\right)} a\right)} p^{2}}{b} + \frac{2 \, {\left(2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) - 4 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) - {\left(b x^{2} + a\right)}^{2} + 4 \, {\left(b x^{2} + a\right)} a\right)} p \log\left(c\right)}{b} + \frac{2 \, {\left({\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a\right)} \log\left(c\right)^{2}}{b}}{8 \, b}"," ",0,"1/8*((2*(b*x^2 + a)^2*log(b*x^2 + a)^2 - 4*(b*x^2 + a)*a*log(b*x^2 + a)^2 - 2*(b*x^2 + a)^2*log(b*x^2 + a) + 8*(b*x^2 + a)*a*log(b*x^2 + a) + (b*x^2 + a)^2 - 8*(b*x^2 + a)*a)*p^2/b + 2*(2*(b*x^2 + a)^2*log(b*x^2 + a) - 4*(b*x^2 + a)*a*log(b*x^2 + a) - (b*x^2 + a)^2 + 4*(b*x^2 + a)*a)*p*log(c)/b + 2*((b*x^2 + a)^2 - 2*(b*x^2 + a)*a)*log(c)^2/b)/b","A",0
79,1,96,0,0.191458," ","integrate(x*log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\frac{{\left(2 \, b x^{2} + {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right)^{2} - 2 \, {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + 2 \, a\right)} p^{2} - 2 \, {\left(b x^{2} - {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + a\right)} p \log\left(c\right) + {\left(b x^{2} + a\right)} \log\left(c\right)^{2}}{2 \, b}"," ",0,"1/2*((2*b*x^2 + (b*x^2 + a)*log(b*x^2 + a)^2 - 2*(b*x^2 + a)*log(b*x^2 + a) + 2*a)*p^2 - 2*(b*x^2 - (b*x^2 + a)*log(b*x^2 + a) + a)*p*log(c) + (b*x^2 + a)*log(c)^2)/b","A",0
80,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x, x)","F",0
81,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^3,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^3, x)","F",0
82,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^5,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{5}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^5, x)","F",0
83,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^7,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{7}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^7, x)","F",0
84,0,0,0,0.000000," ","integrate(x^4*log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int x^{4} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate(x^4*log((b*x^2 + a)^p*c)^2, x)","F",0
85,0,0,0,0.000000," ","integrate(x^2*log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate(x^2*log((b*x^2 + a)^p*c)^2, x)","F",0
86,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2, x)","F",0
87,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^2, x)","F",0
88,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^4,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{4}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^4, x)","F",0
89,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^6,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{6}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^6, x)","F",0
90,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^2/x^8,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}{x^{8}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^2/x^8, x)","F",0
91,1,595,0,0.199508," ","integrate(x^5*log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\frac{36 \, b x^{6} \log\left(c\right)^{3} + {\left(\frac{36 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)^{3}}{b^{2}} - \frac{108 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)^{3}}{b^{2}} + \frac{108 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)^{3}}{b^{2}} - \frac{36 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)^{2}}{b^{2}} + \frac{162 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)^{2}}{b^{2}} - \frac{324 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)^{2}}{b^{2}} + \frac{24 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{162 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)}{b^{2}} + \frac{648 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{8 \, {\left(b x^{2} + a\right)}^{3}}{b^{2}} + \frac{81 \, {\left(b x^{2} + a\right)}^{2} a}{b^{2}} - \frac{648 \, {\left(b x^{2} + a\right)} a^{2}}{b^{2}}\right)} p^{3} + 6 \, {\left(\frac{18 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)^{2}}{b^{2}} - \frac{54 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)^{2}}{b^{2}} + \frac{54 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)^{2}}{b^{2}} - \frac{12 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)}{b^{2}} + \frac{54 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)}{b^{2}} - \frac{108 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)}{b^{2}} + \frac{4 \, {\left(b x^{2} + a\right)}^{3}}{b^{2}} - \frac{27 \, {\left(b x^{2} + a\right)}^{2} a}{b^{2}} + \frac{108 \, {\left(b x^{2} + a\right)} a^{2}}{b^{2}}\right)} p^{2} \log\left(c\right) + 18 \, {\left(\frac{6 \, {\left(b x^{2} + a\right)}^{3} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{18 \, {\left(b x^{2} + a\right)}^{2} a \log\left(b x^{2} + a\right)}{b^{2}} + \frac{18 \, {\left(b x^{2} + a\right)} a^{2} \log\left(b x^{2} + a\right)}{b^{2}} - \frac{2 \, {\left(b x^{2} + a\right)}^{3}}{b^{2}} + \frac{9 \, {\left(b x^{2} + a\right)}^{2} a}{b^{2}} - \frac{18 \, {\left(b x^{2} + a\right)} a^{2}}{b^{2}}\right)} p \log\left(c\right)^{2}}{216 \, b}"," ",0,"1/216*(36*b*x^6*log(c)^3 + (36*(b*x^2 + a)^3*log(b*x^2 + a)^3/b^2 - 108*(b*x^2 + a)^2*a*log(b*x^2 + a)^3/b^2 + 108*(b*x^2 + a)*a^2*log(b*x^2 + a)^3/b^2 - 36*(b*x^2 + a)^3*log(b*x^2 + a)^2/b^2 + 162*(b*x^2 + a)^2*a*log(b*x^2 + a)^2/b^2 - 324*(b*x^2 + a)*a^2*log(b*x^2 + a)^2/b^2 + 24*(b*x^2 + a)^3*log(b*x^2 + a)/b^2 - 162*(b*x^2 + a)^2*a*log(b*x^2 + a)/b^2 + 648*(b*x^2 + a)*a^2*log(b*x^2 + a)/b^2 - 8*(b*x^2 + a)^3/b^2 + 81*(b*x^2 + a)^2*a/b^2 - 648*(b*x^2 + a)*a^2/b^2)*p^3 + 6*(18*(b*x^2 + a)^3*log(b*x^2 + a)^2/b^2 - 54*(b*x^2 + a)^2*a*log(b*x^2 + a)^2/b^2 + 54*(b*x^2 + a)*a^2*log(b*x^2 + a)^2/b^2 - 12*(b*x^2 + a)^3*log(b*x^2 + a)/b^2 + 54*(b*x^2 + a)^2*a*log(b*x^2 + a)/b^2 - 108*(b*x^2 + a)*a^2*log(b*x^2 + a)/b^2 + 4*(b*x^2 + a)^3/b^2 - 27*(b*x^2 + a)^2*a/b^2 + 108*(b*x^2 + a)*a^2/b^2)*p^2*log(c) + 18*(6*(b*x^2 + a)^3*log(b*x^2 + a)/b^2 - 18*(b*x^2 + a)^2*a*log(b*x^2 + a)/b^2 + 18*(b*x^2 + a)*a^2*log(b*x^2 + a)/b^2 - 2*(b*x^2 + a)^3/b^2 + 9*(b*x^2 + a)^2*a/b^2 - 18*(b*x^2 + a)*a^2/b^2)*p*log(c)^2)/b","A",0
92,1,360,0,0.219014," ","integrate(x^3*log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\frac{\frac{{\left(4 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right)^{3} - 8 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right)^{3} - 6 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right)^{2} + 24 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right)^{2} + 6 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) - 48 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) - 3 \, {\left(b x^{2} + a\right)}^{2} + 48 \, {\left(b x^{2} + a\right)} a\right)} p^{3}}{b} + \frac{6 \, {\left(2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right)^{2} - 4 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right)^{2} - 2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) + 8 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) + {\left(b x^{2} + a\right)}^{2} - 8 \, {\left(b x^{2} + a\right)} a\right)} p^{2} \log\left(c\right)}{b} + \frac{6 \, {\left(2 \, {\left(b x^{2} + a\right)}^{2} \log\left(b x^{2} + a\right) - 4 \, {\left(b x^{2} + a\right)} a \log\left(b x^{2} + a\right) - {\left(b x^{2} + a\right)}^{2} + 4 \, {\left(b x^{2} + a\right)} a\right)} p \log\left(c\right)^{2}}{b} + \frac{4 \, {\left({\left(b x^{2} + a\right)}^{2} - 2 \, {\left(b x^{2} + a\right)} a\right)} \log\left(c\right)^{3}}{b}}{16 \, b}"," ",0,"1/16*((4*(b*x^2 + a)^2*log(b*x^2 + a)^3 - 8*(b*x^2 + a)*a*log(b*x^2 + a)^3 - 6*(b*x^2 + a)^2*log(b*x^2 + a)^2 + 24*(b*x^2 + a)*a*log(b*x^2 + a)^2 + 6*(b*x^2 + a)^2*log(b*x^2 + a) - 48*(b*x^2 + a)*a*log(b*x^2 + a) - 3*(b*x^2 + a)^2 + 48*(b*x^2 + a)*a)*p^3/b + 6*(2*(b*x^2 + a)^2*log(b*x^2 + a)^2 - 4*(b*x^2 + a)*a*log(b*x^2 + a)^2 - 2*(b*x^2 + a)^2*log(b*x^2 + a) + 8*(b*x^2 + a)*a*log(b*x^2 + a) + (b*x^2 + a)^2 - 8*(b*x^2 + a)*a)*p^2*log(c)/b + 6*(2*(b*x^2 + a)^2*log(b*x^2 + a) - 4*(b*x^2 + a)*a*log(b*x^2 + a) - (b*x^2 + a)^2 + 4*(b*x^2 + a)*a)*p*log(c)^2/b + 4*((b*x^2 + a)^2 - 2*(b*x^2 + a)*a)*log(c)^3/b)/b","A",0
93,1,169,0,0.169753," ","integrate(x*log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\frac{{\left({\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right)^{3} - 6 \, b x^{2} - 3 \, {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right)^{2} + 6 \, {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) - 6 \, a\right)} p^{3} + 3 \, {\left(2 \, b x^{2} + {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right)^{2} - 2 \, {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + 2 \, a\right)} p^{2} \log\left(c\right) - 3 \, {\left(b x^{2} - {\left(b x^{2} + a\right)} \log\left(b x^{2} + a\right) + a\right)} p \log\left(c\right)^{2} + {\left(b x^{2} + a\right)} \log\left(c\right)^{3}}{2 \, b}"," ",0,"1/2*(((b*x^2 + a)*log(b*x^2 + a)^3 - 6*b*x^2 - 3*(b*x^2 + a)*log(b*x^2 + a)^2 + 6*(b*x^2 + a)*log(b*x^2 + a) - 6*a)*p^3 + 3*(2*b*x^2 + (b*x^2 + a)*log(b*x^2 + a)^2 - 2*(b*x^2 + a)*log(b*x^2 + a) + 2*a)*p^2*log(c) - 3*(b*x^2 - (b*x^2 + a)*log(b*x^2 + a) + a)*p*log(c)^2 + (b*x^2 + a)*log(c)^3)/b","A",0
94,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x, x)","F",0
95,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x^3,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x^{3}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x^3, x)","F",0
96,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x^5,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x^{5}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x^5, x)","F",0
97,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x^7,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x^{7}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x^7, x)","F",0
98,0,0,0,0.000000," ","integrate(x^2*log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate(x^2*log((b*x^2 + a)^p*c)^3, x)","F",0
99,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3, x)","F",0
100,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x^{2}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x^2, x)","F",0
101,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)^3/x^4,x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}{x^{4}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^3/x^4, x)","F",0
102,1,73,0,0.172034," ","integrate(x^3/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","-\frac{\frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right)}{b c^{\left(\frac{1}{p}\right)} p} - \frac{{\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right)}{b c^{\frac{2}{p}} p}}{2 \, b}"," ",0,"-1/2*(a*Ei(log(c)/p + log(b*x^2 + a))/(b*c^(1/p)*p) - Ei(2*log(c)/p + 2*log(b*x^2 + a))/(b*c^(2/p)*p))/b","A",0
103,1,31,0,0.164261," ","integrate(x/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right)}{2 \, b c^{\left(\frac{1}{p}\right)} p}"," ",0,"1/2*Ei(log(c)/p + log(b*x^2 + a))/(b*c^(1/p)*p)","A",0
104,0,0,0,0.000000," ","integrate(1/x/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int \frac{1}{x \log\left({\left(b x^{2} + a\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x*log((b*x^2 + a)^p*c)), x)","F",0
105,0,0,0,0.000000," ","integrate(1/x^3/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left({\left(b x^{2} + a\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x^3*log((b*x^2 + a)^p*c)), x)","F",0
106,0,0,0,0.000000," ","integrate(x^2/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int \frac{x^{2}}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(x^2/log((b*x^2 + a)^p*c), x)","F",0
107,0,0,0,0.000000," ","integrate(1/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/log((b*x^2 + a)^p*c), x)","F",0
108,0,0,0,0.000000," ","integrate(1/x^2/log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x^2*log((b*x^2 + a)^p*c)), x)","F",0
109,1,298,0,0.200259," ","integrate(x^3/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","-\frac{\frac{{\left(b x^{2} + a\right)}^{2} p}{b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)} - \frac{{\left(b x^{2} + a\right)} a p}{b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)} + \frac{a p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)}{{\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} - \frac{2 \, p {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)}{{\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\frac{2}{p}}} + \frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(c\right)}{{\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} - \frac{2 \, {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right) \log\left(c\right)}{{\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\frac{2}{p}}}}{2 \, b}"," ",0,"-1/2*((b*x^2 + a)^2*p/(b*p^3*log(b*x^2 + a) + b*p^2*log(c)) - (b*x^2 + a)*a*p/(b*p^3*log(b*x^2 + a) + b*p^2*log(c)) + a*p*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(1/p)) - 2*p*Ei(2*log(c)/p + 2*log(b*x^2 + a))*log(b*x^2 + a)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(2/p)) + a*Ei(log(c)/p + log(b*x^2 + a))*log(c)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(1/p)) - 2*Ei(2*log(c)/p + 2*log(b*x^2 + a))*log(c)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(2/p)))/b","B",0
110,1,141,0,0.182030," ","integrate(x/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","-\frac{{\left(b x^{2} + a\right)} p}{2 \, {\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)}} + \frac{p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)}{2 \, {\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} + \frac{{\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(c\right)}{2 \, {\left(b p^{3} \log\left(b x^{2} + a\right) + b p^{2} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}}"," ",0,"-1/2*(b*x^2 + a)*p/(b*p^3*log(b*x^2 + a) + b*p^2*log(c)) + 1/2*p*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(1/p)) + 1/2*Ei(log(c)/p + log(b*x^2 + a))*log(c)/((b*p^3*log(b*x^2 + a) + b*p^2*log(c))*c^(1/p))","A",0
111,0,0,0,0.000000," ","integrate(1/x/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x*log((b*x^2 + a)^p*c)^2), x)","F",0
112,0,0,0,0.000000," ","integrate(1/x^3/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^3*log((b*x^2 + a)^p*c)^2), x)","F",0
113,0,0,0,0.000000," ","integrate(x^2/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \frac{x^{2}}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(x^2/log((b*x^2 + a)^p*c)^2, x)","F",0
114,0,0,0,0.000000," ","integrate(1/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^(-2), x)","F",0
115,0,0,0,0.000000," ","integrate(1/x^2/log(c*(b*x^2+a)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*log((b*x^2 + a)^p*c)^2), x)","F",0
116,1,840,0,0.236780," ","integrate(x^3/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(b x^{2} + a\right)}^{2} p^{2} \log\left(b x^{2} + a\right)}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} - \frac{{\left(b x^{2} + a\right)} a p^{2} \log\left(b x^{2} + a\right)}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} + \frac{a p^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)^{2}}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}} + \frac{{\left(b x^{2} + a\right)}^{2} p^{2}}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} - \frac{{\left(b x^{2} + a\right)} a p^{2}}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} - \frac{4 \, p^{2} {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)^{2}}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\frac{2}{p}}} + \frac{2 \, {\left(b x^{2} + a\right)}^{2} p \log\left(c\right)}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} - \frac{{\left(b x^{2} + a\right)} a p \log\left(c\right)}{b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}} + \frac{2 \, a p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right) \log\left(c\right)}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}} - \frac{8 \, p {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right) \log\left(c\right)}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\frac{2}{p}}} + \frac{a {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(c\right)^{2}}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}} - \frac{4 \, {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(b x^{2} + a\right)\right) \log\left(c\right)^{2}}{{\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\frac{2}{p}}}}{4 \, b}"," ",0,"-1/4*(2*(b*x^2 + a)^2*p^2*log(b*x^2 + a)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) - (b*x^2 + a)*a*p^2*log(b*x^2 + a)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) + a*p^2*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p)) + (b*x^2 + a)^2*p^2/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) - (b*x^2 + a)*a*p^2/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) - 4*p^2*Ei(2*log(c)/p + 2*log(b*x^2 + a))*log(b*x^2 + a)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(2/p)) + 2*(b*x^2 + a)^2*p*log(c)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) - (b*x^2 + a)*a*p*log(c)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) + 2*a*p*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)*log(c)/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p)) - 8*p*Ei(2*log(c)/p + 2*log(b*x^2 + a))*log(b*x^2 + a)*log(c)/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(2/p)) + a*Ei(log(c)/p + log(b*x^2 + a))*log(c)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p)) - 4*Ei(2*log(c)/p + 2*log(b*x^2 + a))*log(c)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(2/p)))/b","B",0
117,1,406,0,0.180207," ","integrate(x/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","-\frac{{\left(b x^{2} + a\right)} p^{2} \log\left(b x^{2} + a\right)}{4 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)}} + \frac{p^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right)^{2}}{4 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}} - \frac{{\left(b x^{2} + a\right)} p^{2}}{4 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)}} - \frac{{\left(b x^{2} + a\right)} p \log\left(c\right)}{4 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)}} + \frac{p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(b x^{2} + a\right) \log\left(c\right)}{2 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}} + \frac{{\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(b x^{2} + a\right)\right) \log\left(c\right)^{2}}{4 \, {\left(b p^{5} \log\left(b x^{2} + a\right)^{2} + 2 \, b p^{4} \log\left(b x^{2} + a\right) \log\left(c\right) + b p^{3} \log\left(c\right)^{2}\right)} c^{\left(\frac{1}{p}\right)}}"," ",0,"-1/4*(b*x^2 + a)*p^2*log(b*x^2 + a)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) + 1/4*p^2*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p)) - 1/4*(b*x^2 + a)*p^2/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) - 1/4*(b*x^2 + a)*p*log(c)/(b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2) + 1/2*p*Ei(log(c)/p + log(b*x^2 + a))*log(b*x^2 + a)*log(c)/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p)) + 1/4*Ei(log(c)/p + log(b*x^2 + a))*log(c)^2/((b*p^5*log(b*x^2 + a)^2 + 2*b*p^4*log(b*x^2 + a)*log(c) + b*p^3*log(c)^2)*c^(1/p))","B",0
118,0,0,0,0.000000," ","integrate(1/x/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \frac{1}{x \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}\,{d x}"," ",0,"integrate(1/(x*log((b*x^2 + a)^p*c)^3), x)","F",0
119,0,0,0,0.000000," ","integrate(1/x^3/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^3*log((b*x^2 + a)^p*c)^3), x)","F",0
120,0,0,0,0.000000," ","integrate(x^2/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \frac{x^{2}}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}\,{d x}"," ",0,"integrate(x^2/log((b*x^2 + a)^p*c)^3, x)","F",0
121,0,0,0,0.000000," ","integrate(1/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)^(-3), x)","F",0
122,0,0,0,0.000000," ","integrate(1/x^2/log(c*(b*x^2+a)^p)^3,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)^{3}}\,{d x}"," ",0,"integrate(1/(x^2*log((b*x^2 + a)^p*c)^3), x)","F",0
123,1,38,0,0.164991," ","integrate(x^3/log(c*(b*x^2+a)),x, algorithm=""giac"")","-\frac{a c {\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right) - {\rm Ei}\left(2 \, \log\left({\left(b x^{2} + a\right)} c\right)\right)}{2 \, b^{2} c^{2}}"," ",0,"-1/2*(a*c*Ei(log((b*x^2 + a)*c)) - Ei(2*log((b*x^2 + a)*c)))/(b^2*c^2)","A",0
124,1,19,0,0.159251," ","integrate(x/log(c*(b*x^2+a)),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right)}{2 \, b c}"," ",0,"1/2*Ei(log((b*x^2 + a)*c))/(b*c)","A",0
125,1,89,0,0.173423," ","integrate(x^3/log(c*(b*x^2+a))^2,x, algorithm=""giac"")","-\frac{a c {\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right) - \frac{{\left(b c x^{2} + a c\right)} a c}{\log\left({\left(b x^{2} + a\right)} c\right)} + \frac{{\left(b c x^{2} + a c\right)}^{2}}{\log\left({\left(b x^{2} + a\right)} c\right)} - 2 \, {\rm Ei}\left(2 \, \log\left({\left(b x^{2} + a\right)} c\right)\right)}{2 \, b^{2} c^{2}}"," ",0,"-1/2*(a*c*Ei(log((b*x^2 + a)*c)) - (b*c*x^2 + a*c)*a*c/log((b*x^2 + a)*c) + (b*c*x^2 + a*c)^2/log((b*x^2 + a)*c) - 2*Ei(2*log((b*x^2 + a)*c)))/(b^2*c^2)","A",0
126,1,45,0,0.162868," ","integrate(x/log(c*(b*x^2+a))^2,x, algorithm=""giac"")","-\frac{\frac{b c x^{2} + a c}{\log\left({\left(b x^{2} + a\right)} c\right)} - {\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right)}{2 \, b c}"," ",0,"-1/2*((b*c*x^2 + a*c)/log((b*x^2 + a)*c) - Ei(log((b*x^2 + a)*c)))/(b*c)","A",0
127,1,141,0,0.174210," ","integrate(x^3/log(c*(b*x^2+a))^3,x, algorithm=""giac"")","-\frac{a c {\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right) - \frac{{\left(b c x^{2} + a c\right)} a c}{\log\left({\left(b x^{2} + a\right)} c\right)} - \frac{{\left(b c x^{2} + a c\right)} a c}{\log\left({\left(b x^{2} + a\right)} c\right)^{2}} + \frac{2 \, {\left(b c x^{2} + a c\right)}^{2}}{\log\left({\left(b x^{2} + a\right)} c\right)} + \frac{{\left(b c x^{2} + a c\right)}^{2}}{\log\left({\left(b x^{2} + a\right)} c\right)^{2}} - 4 \, {\rm Ei}\left(2 \, \log\left({\left(b x^{2} + a\right)} c\right)\right)}{4 \, b^{2} c^{2}}"," ",0,"-1/4*(a*c*Ei(log((b*x^2 + a)*c)) - (b*c*x^2 + a*c)*a*c/log((b*x^2 + a)*c) - (b*c*x^2 + a*c)*a*c/log((b*x^2 + a)*c)^2 + 2*(b*c*x^2 + a*c)^2/log((b*x^2 + a)*c) + (b*c*x^2 + a*c)^2/log((b*x^2 + a)*c)^2 - 4*Ei(2*log((b*x^2 + a)*c)))/(b^2*c^2)","A",0
128,1,68,0,0.176199," ","integrate(x/log(c*(b*x^2+a))^3,x, algorithm=""giac"")","-\frac{\frac{b c x^{2} + a c}{\log\left({\left(b x^{2} + a\right)} c\right)} + \frac{b c x^{2} + a c}{\log\left({\left(b x^{2} + a\right)} c\right)^{2}} - {\rm Ei}\left(\log\left({\left(b x^{2} + a\right)} c\right)\right)}{4 \, b c}"," ",0,"-1/4*((b*c*x^2 + a*c)/log((b*x^2 + a)*c) + (b*c*x^2 + a*c)/log((b*x^2 + a)*c)^2 - Ei(log((b*x^2 + a)*c)))/(b*c)","A",0
129,1,221,0,0.172068," ","integrate(x^5*log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\frac{1}{12} \, {\left({\left(2 \, {\left(x^{3} e + d\right)}^{2} \log\left(x^{3} e + d\right)^{2} - 4 \, {\left(x^{3} e + d\right)} d \log\left(x^{3} e + d\right)^{2} - 2 \, {\left(x^{3} e + d\right)}^{2} \log\left(x^{3} e + d\right) + 8 \, {\left(x^{3} e + d\right)} d \log\left(x^{3} e + d\right) + {\left(x^{3} e + d\right)}^{2} - 8 \, {\left(x^{3} e + d\right)} d\right)} p^{2} e^{\left(-1\right)} + 2 \, {\left(2 \, {\left(x^{3} e + d\right)}^{2} \log\left(x^{3} e + d\right) - 4 \, {\left(x^{3} e + d\right)} d \log\left(x^{3} e + d\right) - {\left(x^{3} e + d\right)}^{2} + 4 \, {\left(x^{3} e + d\right)} d\right)} p e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left({\left(x^{3} e + d\right)}^{2} - 2 \, {\left(x^{3} e + d\right)} d\right)} e^{\left(-1\right)} \log\left(c\right)^{2}\right)} e^{\left(-1\right)}"," ",0,"1/12*((2*(x^3*e + d)^2*log(x^3*e + d)^2 - 4*(x^3*e + d)*d*log(x^3*e + d)^2 - 2*(x^3*e + d)^2*log(x^3*e + d) + 8*(x^3*e + d)*d*log(x^3*e + d) + (x^3*e + d)^2 - 8*(x^3*e + d)*d)*p^2*e^(-1) + 2*(2*(x^3*e + d)^2*log(x^3*e + d) - 4*(x^3*e + d)*d*log(x^3*e + d) - (x^3*e + d)^2 + 4*(x^3*e + d)*d)*p*e^(-1)*log(c) + 2*((x^3*e + d)^2 - 2*(x^3*e + d)*d)*e^(-1)*log(c)^2)*e^(-1)","A",0
130,1,104,0,0.167865," ","integrate(x^2*log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\frac{1}{3} \, {\left({\left(2 \, x^{3} e + {\left(x^{3} e + d\right)} \log\left(x^{3} e + d\right)^{2} - 2 \, {\left(x^{3} e + d\right)} \log\left(x^{3} e + d\right) + 2 \, d\right)} p^{2} - 2 \, {\left(x^{3} e - {\left(x^{3} e + d\right)} \log\left(x^{3} e + d\right) + d\right)} p \log\left(c\right) + {\left(x^{3} e + d\right)} \log\left(c\right)^{2}\right)} e^{\left(-1\right)}"," ",0,"1/3*((2*x^3*e + (x^3*e + d)*log(x^3*e + d)^2 - 2*(x^3*e + d)*log(x^3*e + d) + 2*d)*p^2 - 2*(x^3*e - (x^3*e + d)*log(x^3*e + d) + d)*p*log(c) + (x^3*e + d)*log(c)^2)*e^(-1)","A",0
131,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}{x}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2/x, x)","F",0
132,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2/x^4,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}{x^{4}}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2/x^4, x)","F",0
133,0,0,0,0.000000," ","integrate(x*log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int x \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate(x*log((e*x^3 + d)^p*c)^2, x)","F",0
134,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2, x)","F",0
135,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2/x^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}{x^{2}}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2/x^2, x)","F",0
136,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2/x^3,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}{x^{3}}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2/x^3, x)","F",0
137,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)^2/x^5,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}{x^{5}}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^2/x^5, x)","F",0
138,1,108,0,0.181381," ","integrate(x^8/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\frac{d^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) e^{\left(-3\right)}}{3 \, c^{\left(\frac{1}{p}\right)} p} - \frac{2 \, d {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) e^{\left(-3\right)}}{3 \, c^{\frac{2}{p}} p} + \frac{{\rm Ei}\left(\frac{3 \, \log\left(c\right)}{p} + 3 \, \log\left(x^{3} e + d\right)\right) e^{\left(-3\right)}}{3 \, c^{\frac{3}{p}} p}"," ",0,"1/3*d^2*Ei(log(c)/p + log(x^3*e + d))*e^(-3)/(c^(1/p)*p) - 2/3*d*Ei(2*log(c)/p + 2*log(x^3*e + d))*e^(-3)/(c^(2/p)*p) + 1/3*Ei(3*log(c)/p + 3*log(x^3*e + d))*e^(-3)/(c^(3/p)*p)","A",0
139,1,72,0,0.176678," ","integrate(x^5/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","-\frac{1}{3} \, {\left(\frac{d {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) e^{\left(-1\right)}}{c^{\left(\frac{1}{p}\right)} p} - \frac{{\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) e^{\left(-1\right)}}{c^{\frac{2}{p}} p}\right)} e^{\left(-1\right)}"," ",0,"-1/3*(d*Ei(log(c)/p + log(x^3*e + d))*e^(-1)/(c^(1/p)*p) - Ei(2*log(c)/p + 2*log(x^3*e + d))*e^(-1)/(c^(2/p)*p))*e^(-1)","A",0
140,1,31,0,0.181376," ","integrate(x^2/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\frac{{\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) e^{\left(-1\right)}}{3 \, c^{\left(\frac{1}{p}\right)} p}"," ",0,"1/3*Ei(log(c)/p + log(x^3*e + d))*e^(-1)/(c^(1/p)*p)","A",0
141,0,0,0,0.000000," ","integrate(1/x/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{1}{x \log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x*log((e*x^3 + d)^p*c)), x)","F",0
142,0,0,0,0.000000," ","integrate(1/x^4/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{1}{x^{4} \log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x^4*log((e*x^3 + d)^p*c)), x)","F",0
143,0,0,0,0.000000," ","integrate(x^3/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{x^{3}}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(x^3/log((e*x^3 + d)^p*c), x)","F",0
144,0,0,0,0.000000," ","integrate(x/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{x}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(x/log((e*x^3 + d)^p*c), x)","F",0
145,0,0,0,0.000000," ","integrate(1/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/log((e*x^3 + d)^p*c), x)","F",0
146,0,0,0,0.000000," ","integrate(1/x^2/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x^2*log((e*x^3 + d)^p*c)), x)","F",0
147,0,0,0,0.000000," ","integrate(1/x^3/log(c*(e*x^3+d)^p),x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left({\left(e x^{3} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/(x^3*log((e*x^3 + d)^p*c)), x)","F",0
148,1,494,0,0.225513," ","integrate(x^8/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","-\frac{{\left(x^{3} e + d\right)}^{3} p}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)}} + \frac{2 \, {\left(x^{3} e + d\right)}^{2} d p}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)}} - \frac{{\left(x^{3} e + d\right)} d^{2} p}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)}} + \frac{d^{2} p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} - \frac{4 \, d p {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\frac{2}{p}}} + \frac{d^{2} {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} + \frac{p {\rm Ei}\left(\frac{3 \, \log\left(c\right)}{p} + 3 \, \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{{\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\frac{3}{p}}} - \frac{4 \, d {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{3 \, {\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\frac{2}{p}}} + \frac{{\rm Ei}\left(\frac{3 \, \log\left(c\right)}{p} + 3 \, \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{{\left(p^{3} e^{3} \log\left(x^{3} e + d\right) + p^{2} e^{3} \log\left(c\right)\right)} c^{\frac{3}{p}}}"," ",0,"-1/3*(x^3*e + d)^3*p/(p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c)) + 2/3*(x^3*e + d)^2*d*p/(p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c)) - 1/3*(x^3*e + d)*d^2*p/(p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c)) + 1/3*d^2*p*Ei(log(c)/p + log(x^3*e + d))*log(x^3*e + d)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(1/p)) - 4/3*d*p*Ei(2*log(c)/p + 2*log(x^3*e + d))*log(x^3*e + d)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(2/p)) + 1/3*d^2*Ei(log(c)/p + log(x^3*e + d))*log(c)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(1/p)) + p*Ei(3*log(c)/p + 3*log(x^3*e + d))*log(x^3*e + d)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(3/p)) - 4/3*d*Ei(2*log(c)/p + 2*log(x^3*e + d))*log(c)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(2/p)) + Ei(3*log(c)/p + 3*log(x^3*e + d))*log(c)/((p^3*e^3*log(x^3*e + d) + p^2*e^3*log(c))*c^(3/p))","B",0
149,1,323,0,0.223640," ","integrate(x^5/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","-\frac{1}{3} \, {\left(\frac{{\left(x^{3} e + d\right)}^{2} p}{p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)} - \frac{{\left(x^{3} e + d\right)} d p}{p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)} + \frac{d p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{{\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} - \frac{2 \, p {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{{\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\frac{2}{p}}} + \frac{d {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{{\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} - \frac{2 \, {\rm Ei}\left(\frac{2 \, \log\left(c\right)}{p} + 2 \, \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{{\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\frac{2}{p}}}\right)} e^{\left(-1\right)}"," ",0,"-1/3*((x^3*e + d)^2*p/(p^3*e*log(x^3*e + d) + p^2*e*log(c)) - (x^3*e + d)*d*p/(p^3*e*log(x^3*e + d) + p^2*e*log(c)) + d*p*Ei(log(c)/p + log(x^3*e + d))*log(x^3*e + d)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(1/p)) - 2*p*Ei(2*log(c)/p + 2*log(x^3*e + d))*log(x^3*e + d)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(2/p)) + d*Ei(log(c)/p + log(x^3*e + d))*log(c)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(1/p)) - 2*Ei(2*log(c)/p + 2*log(x^3*e + d))*log(c)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(2/p)))*e^(-1)","B",0
150,1,154,0,0.176463," ","integrate(x^2/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","-\frac{{\left(x^{3} e + d\right)} p}{3 \, {\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)}} + \frac{p {\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(x^{3} e + d\right)}{3 \, {\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}} + \frac{{\rm Ei}\left(\frac{\log\left(c\right)}{p} + \log\left(x^{3} e + d\right)\right) \log\left(c\right)}{3 \, {\left(p^{3} e \log\left(x^{3} e + d\right) + p^{2} e \log\left(c\right)\right)} c^{\left(\frac{1}{p}\right)}}"," ",0,"-1/3*(x^3*e + d)*p/(p^3*e*log(x^3*e + d) + p^2*e*log(c)) + 1/3*p*Ei(log(c)/p + log(x^3*e + d))*log(x^3*e + d)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(1/p)) + 1/3*Ei(log(c)/p + log(x^3*e + d))*log(c)/((p^3*e*log(x^3*e + d) + p^2*e*log(c))*c^(1/p))","A",0
151,0,0,0,0.000000," ","integrate(1/x/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x*log((e*x^3 + d)^p*c)^2), x)","F",0
152,0,0,0,0.000000," ","integrate(1/x^4/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x^{4} \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^4*log((e*x^3 + d)^p*c)^2), x)","F",0
153,0,0,0,0.000000," ","integrate(x^3/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{x^{3}}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(x^3/log((e*x^3 + d)^p*c)^2, x)","F",0
154,0,0,0,0.000000," ","integrate(x/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{x}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(x/log((e*x^3 + d)^p*c)^2, x)","F",0
155,0,0,0,0.000000," ","integrate(1/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{\log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)^(-2), x)","F",0
156,0,0,0,0.000000," ","integrate(1/x^2/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x^{2} \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^2*log((e*x^3 + d)^p*c)^2), x)","F",0
157,0,0,0,0.000000," ","integrate(1/x^3/log(c*(e*x^3+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{x^{3} \log\left({\left(e x^{3} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/(x^3*log((e*x^3 + d)^p*c)^2), x)","F",0
158,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x^2+d)^p)^3,x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^2 + d)^p*c)^3, x)","F",0
159,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^2 + d)^p*c)^2, x)","F",0
160,0,0,0,0.000000," ","integrate((f*x)^m*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \left(f x\right)^{m} \log\left({\left(e x^{2} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((f*x)^m*log((e*x^2 + d)^p*c), x)","F",0
161,0,0,0,0.000000," ","integrate((f*x)^m/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate((f*x)^m/log((e*x^2 + d)^p*c), x)","F",0
162,0,0,0,0.000000," ","integrate((f*x)^m/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{\left(f x\right)^{m}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate((f*x)^m/log((e*x^2 + d)^p*c)^2, x)","F",0
163,0,0,0,0.000000," ","integrate((f*x)^(-1+3*n)*log(c*(d+e*x^n)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{3 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^(3*n - 1)*log((e*x^n + d)^p*c)^2, x)","F",0
164,0,0,0,0.000000," ","integrate((f*x)^(-1+2*n)*log(c*(d+e*x^n)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{2 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^(2*n - 1)*log((e*x^n + d)^p*c)^2, x)","F",0
165,0,0,0,0.000000," ","integrate((f*x)^(-1+n)*log(c*(d+e*x^n)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^(n - 1)*log((e*x^n + d)^p*c)^2, x)","F",0
166,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^2/f/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}}{f x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^2/(f*x), x)","F",0
167,0,0,0,0.000000," ","integrate((f*x)^(-1-n)*log(c*(d+e*x^n)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{-n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^(-n - 1)*log((e*x^n + d)^p*c)^2, x)","F",0
168,0,0,0,0.000000," ","integrate((f*x)^(-1-2*n)*log(c*(d+e*x^n)^p)^2,x, algorithm=""giac"")","\int \left(f x\right)^{-2 \, n - 1} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((f*x)^(-2*n - 1)*log((e*x^n + d)^p*c)^2, x)","F",0
169,0,0,0,0.000000," ","integrate(log(1+e*x^n)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x^{n} + 1\right)}{x}\,{d x}"," ",0,"integrate(log(e*x^n + 1)/x, x)","F",0
170,0,0,0,0.000000," ","integrate(log(2+e*x^n)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x^{n} + 2\right)}{x}\,{d x}"," ",0,"integrate(log(e*x^n + 2)/x, x)","F",0
171,0,0,0,0.000000," ","integrate(log(6+2*e*x^n)/x,x, algorithm=""giac"")","\int \frac{\log\left(2 \, e x^{n} + 6\right)}{x}\,{d x}"," ",0,"integrate(log(2*e*x^n + 6)/x, x)","F",0
172,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n))/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)} c\right)}{x}\,{d x}"," ",0,"integrate(log((e*x^n + d)*c)/x, x)","F",0
173,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/x, x)","F",0
174,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^2/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{2}}{x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^2/x, x)","F",0
175,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^3/x,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{3}}{x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^3/x, x)","F",0
176,1,558,0,0.199625," ","integrate((e*x+d)^3*log(c*(b*x+a)^p),x, algorithm=""giac"")","\frac{{\left(b x + a\right)} d^{3} p \log\left(b x + a\right)}{b} + \frac{3 \, {\left(b x + a\right)}^{2} d^{2} p e \log\left(b x + a\right)}{2 \, b^{2}} - \frac{3 \, {\left(b x + a\right)} a d^{2} p e \log\left(b x + a\right)}{b^{2}} - \frac{{\left(b x + a\right)} d^{3} p}{b} - \frac{3 \, {\left(b x + a\right)}^{2} d^{2} p e}{4 \, b^{2}} + \frac{3 \, {\left(b x + a\right)} a d^{2} p e}{b^{2}} + \frac{{\left(b x + a\right)}^{3} d p e^{2} \log\left(b x + a\right)}{b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a d p e^{2} \log\left(b x + a\right)}{b^{3}} + \frac{3 \, {\left(b x + a\right)} a^{2} d p e^{2} \log\left(b x + a\right)}{b^{3}} + \frac{{\left(b x + a\right)} d^{3} \log\left(c\right)}{b} + \frac{3 \, {\left(b x + a\right)}^{2} d^{2} e \log\left(c\right)}{2 \, b^{2}} - \frac{3 \, {\left(b x + a\right)} a d^{2} e \log\left(c\right)}{b^{2}} - \frac{{\left(b x + a\right)}^{3} d p e^{2}}{3 \, b^{3}} + \frac{3 \, {\left(b x + a\right)}^{2} a d p e^{2}}{2 \, b^{3}} - \frac{3 \, {\left(b x + a\right)} a^{2} d p e^{2}}{b^{3}} + \frac{{\left(b x + a\right)}^{4} p e^{3} \log\left(b x + a\right)}{4 \, b^{4}} - \frac{{\left(b x + a\right)}^{3} a p e^{3} \log\left(b x + a\right)}{b^{4}} + \frac{3 \, {\left(b x + a\right)}^{2} a^{2} p e^{3} \log\left(b x + a\right)}{2 \, b^{4}} - \frac{{\left(b x + a\right)} a^{3} p e^{3} \log\left(b x + a\right)}{b^{4}} + \frac{{\left(b x + a\right)}^{3} d e^{2} \log\left(c\right)}{b^{3}} - \frac{3 \, {\left(b x + a\right)}^{2} a d e^{2} \log\left(c\right)}{b^{3}} + \frac{3 \, {\left(b x + a\right)} a^{2} d e^{2} \log\left(c\right)}{b^{3}} - \frac{{\left(b x + a\right)}^{4} p e^{3}}{16 \, b^{4}} + \frac{{\left(b x + a\right)}^{3} a p e^{3}}{3 \, b^{4}} - \frac{3 \, {\left(b x + a\right)}^{2} a^{2} p e^{3}}{4 \, b^{4}} + \frac{{\left(b x + a\right)} a^{3} p e^{3}}{b^{4}} + \frac{{\left(b x + a\right)}^{4} e^{3} \log\left(c\right)}{4 \, b^{4}} - \frac{{\left(b x + a\right)}^{3} a e^{3} \log\left(c\right)}{b^{4}} + \frac{3 \, {\left(b x + a\right)}^{2} a^{2} e^{3} \log\left(c\right)}{2 \, b^{4}} - \frac{{\left(b x + a\right)} a^{3} e^{3} \log\left(c\right)}{b^{4}}"," ",0,"(b*x + a)*d^3*p*log(b*x + a)/b + 3/2*(b*x + a)^2*d^2*p*e*log(b*x + a)/b^2 - 3*(b*x + a)*a*d^2*p*e*log(b*x + a)/b^2 - (b*x + a)*d^3*p/b - 3/4*(b*x + a)^2*d^2*p*e/b^2 + 3*(b*x + a)*a*d^2*p*e/b^2 + (b*x + a)^3*d*p*e^2*log(b*x + a)/b^3 - 3*(b*x + a)^2*a*d*p*e^2*log(b*x + a)/b^3 + 3*(b*x + a)*a^2*d*p*e^2*log(b*x + a)/b^3 + (b*x + a)*d^3*log(c)/b + 3/2*(b*x + a)^2*d^2*e*log(c)/b^2 - 3*(b*x + a)*a*d^2*e*log(c)/b^2 - 1/3*(b*x + a)^3*d*p*e^2/b^3 + 3/2*(b*x + a)^2*a*d*p*e^2/b^3 - 3*(b*x + a)*a^2*d*p*e^2/b^3 + 1/4*(b*x + a)^4*p*e^3*log(b*x + a)/b^4 - (b*x + a)^3*a*p*e^3*log(b*x + a)/b^4 + 3/2*(b*x + a)^2*a^2*p*e^3*log(b*x + a)/b^4 - (b*x + a)*a^3*p*e^3*log(b*x + a)/b^4 + (b*x + a)^3*d*e^2*log(c)/b^3 - 3*(b*x + a)^2*a*d*e^2*log(c)/b^3 + 3*(b*x + a)*a^2*d*e^2*log(c)/b^3 - 1/16*(b*x + a)^4*p*e^3/b^4 + 1/3*(b*x + a)^3*a*p*e^3/b^4 - 3/4*(b*x + a)^2*a^2*p*e^3/b^4 + (b*x + a)*a^3*p*e^3/b^4 + 1/4*(b*x + a)^4*e^3*log(c)/b^4 - (b*x + a)^3*a*e^3*log(c)/b^4 + 3/2*(b*x + a)^2*a^2*e^3*log(c)/b^4 - (b*x + a)*a^3*e^3*log(c)/b^4","B",0
177,1,313,0,0.179496," ","integrate((e*x+d)^2*log(c*(b*x+a)^p),x, algorithm=""giac"")","\frac{{\left(b x + a\right)} d^{2} p \log\left(b x + a\right)}{b} + \frac{{\left(b x + a\right)}^{2} d p e \log\left(b x + a\right)}{b^{2}} - \frac{2 \, {\left(b x + a\right)} a d p e \log\left(b x + a\right)}{b^{2}} - \frac{{\left(b x + a\right)} d^{2} p}{b} - \frac{{\left(b x + a\right)}^{2} d p e}{2 \, b^{2}} + \frac{2 \, {\left(b x + a\right)} a d p e}{b^{2}} + \frac{{\left(b x + a\right)}^{3} p e^{2} \log\left(b x + a\right)}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a p e^{2} \log\left(b x + a\right)}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} p e^{2} \log\left(b x + a\right)}{b^{3}} + \frac{{\left(b x + a\right)} d^{2} \log\left(c\right)}{b} + \frac{{\left(b x + a\right)}^{2} d e \log\left(c\right)}{b^{2}} - \frac{2 \, {\left(b x + a\right)} a d e \log\left(c\right)}{b^{2}} - \frac{{\left(b x + a\right)}^{3} p e^{2}}{9 \, b^{3}} + \frac{{\left(b x + a\right)}^{2} a p e^{2}}{2 \, b^{3}} - \frac{{\left(b x + a\right)} a^{2} p e^{2}}{b^{3}} + \frac{{\left(b x + a\right)}^{3} e^{2} \log\left(c\right)}{3 \, b^{3}} - \frac{{\left(b x + a\right)}^{2} a e^{2} \log\left(c\right)}{b^{3}} + \frac{{\left(b x + a\right)} a^{2} e^{2} \log\left(c\right)}{b^{3}}"," ",0,"(b*x + a)*d^2*p*log(b*x + a)/b + (b*x + a)^2*d*p*e*log(b*x + a)/b^2 - 2*(b*x + a)*a*d*p*e*log(b*x + a)/b^2 - (b*x + a)*d^2*p/b - 1/2*(b*x + a)^2*d*p*e/b^2 + 2*(b*x + a)*a*d*p*e/b^2 + 1/3*(b*x + a)^3*p*e^2*log(b*x + a)/b^3 - (b*x + a)^2*a*p*e^2*log(b*x + a)/b^3 + (b*x + a)*a^2*p*e^2*log(b*x + a)/b^3 + (b*x + a)*d^2*log(c)/b + (b*x + a)^2*d*e*log(c)/b^2 - 2*(b*x + a)*a*d*e*log(c)/b^2 - 1/9*(b*x + a)^3*p*e^2/b^3 + 1/2*(b*x + a)^2*a*p*e^2/b^3 - (b*x + a)*a^2*p*e^2/b^3 + 1/3*(b*x + a)^3*e^2*log(c)/b^3 - (b*x + a)^2*a*e^2*log(c)/b^3 + (b*x + a)*a^2*e^2*log(c)/b^3","B",0
178,1,142,0,0.165199," ","integrate((e*x+d)*log(c*(b*x+a)^p),x, algorithm=""giac"")","\frac{{\left(b x + a\right)} d p \log\left(b x + a\right)}{b} + \frac{{\left(b x + a\right)}^{2} p e \log\left(b x + a\right)}{2 \, b^{2}} - \frac{{\left(b x + a\right)} a p e \log\left(b x + a\right)}{b^{2}} - \frac{{\left(b x + a\right)} d p}{b} - \frac{{\left(b x + a\right)}^{2} p e}{4 \, b^{2}} + \frac{{\left(b x + a\right)} a p e}{b^{2}} + \frac{{\left(b x + a\right)} d \log\left(c\right)}{b} + \frac{{\left(b x + a\right)}^{2} e \log\left(c\right)}{2 \, b^{2}} - \frac{{\left(b x + a\right)} a e \log\left(c\right)}{b^{2}}"," ",0,"(b*x + a)*d*p*log(b*x + a)/b + 1/2*(b*x + a)^2*p*e*log(b*x + a)/b^2 - (b*x + a)*a*p*e*log(b*x + a)/b^2 - (b*x + a)*d*p/b - 1/4*(b*x + a)^2*p*e/b^2 + (b*x + a)*a*p*e/b^2 + (b*x + a)*d*log(c)/b + 1/2*(b*x + a)^2*e*log(c)/b^2 - (b*x + a)*a*e*log(c)/b^2","A",0
179,1,39,0,0.160395," ","integrate(log(c*(b*x+a)^p),x, algorithm=""giac"")","\frac{{\left(b x + a\right)} p \log\left(b x + a\right)}{b} - \frac{{\left(b x + a\right)} p}{b} + \frac{{\left(b x + a\right)} \log\left(c\right)}{b}"," ",0,"(b*x + a)*p*log(b*x + a)/b - (b*x + a)*p/b + (b*x + a)*log(c)/b","A",0
180,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x + a)^p*c)/(e*x + d), x)","F",0
181,1,91,0,0.162719," ","integrate(log(c*(b*x+a)^p)/(e*x+d)^2,x, algorithm=""giac"")","\frac{b p x e \log\left(b x + a\right) - b p x e \log\left(x e + d\right) + a p e \log\left(b x + a\right) - b d p \log\left(x e + d\right) - b d \log\left(c\right) + a e \log\left(c\right)}{b d x e^{2} + b d^{2} e - a x e^{3} - a d e^{2}}"," ",0,"(b*p*x*e*log(b*x + a) - b*p*x*e*log(x*e + d) + a*p*e*log(b*x + a) - b*d*p*log(x*e + d) - b*d*log(c) + a*e*log(c))/(b*d*x*e^2 + b*d^2*e - a*x*e^3 - a*d*e^2)","A",0
182,1,266,0,0.172418," ","integrate(log(c*(b*x+a)^p)/(e*x+d)^3,x, algorithm=""giac"")","\frac{b^{2} p x^{2} e^{2} \log\left(b x + a\right) + 2 \, b^{2} d p x e \log\left(b x + a\right) - b^{2} p x^{2} e^{2} \log\left(x e + d\right) - 2 \, b^{2} d p x e \log\left(x e + d\right) + b^{2} d p x e + 2 \, a b d p e \log\left(b x + a\right) - b^{2} d^{2} p \log\left(x e + d\right) + b^{2} d^{2} p - a b p x e^{2} - a b d p e - a^{2} p e^{2} \log\left(b x + a\right) - b^{2} d^{2} \log\left(c\right) + 2 \, a b d e \log\left(c\right) - a^{2} e^{2} \log\left(c\right)}{2 \, {\left(b^{2} d^{2} x^{2} e^{3} + 2 \, b^{2} d^{3} x e^{2} + b^{2} d^{4} e - 2 \, a b d x^{2} e^{4} - 4 \, a b d^{2} x e^{3} - 2 \, a b d^{3} e^{2} + a^{2} x^{2} e^{5} + 2 \, a^{2} d x e^{4} + a^{2} d^{2} e^{3}\right)}}"," ",0,"1/2*(b^2*p*x^2*e^2*log(b*x + a) + 2*b^2*d*p*x*e*log(b*x + a) - b^2*p*x^2*e^2*log(x*e + d) - 2*b^2*d*p*x*e*log(x*e + d) + b^2*d*p*x*e + 2*a*b*d*p*e*log(b*x + a) - b^2*d^2*p*log(x*e + d) + b^2*d^2*p - a*b*p*x*e^2 - a*b*d*p*e - a^2*p*e^2*log(b*x + a) - b^2*d^2*log(c) + 2*a*b*d*e*log(c) - a^2*e^2*log(c))/(b^2*d^2*x^2*e^3 + 2*b^2*d^3*x*e^2 + b^2*d^4*e - 2*a*b*d*x^2*e^4 - 4*a*b*d^2*x*e^3 - 2*a*b*d^3*e^2 + a^2*x^2*e^5 + 2*a^2*d*x*e^4 + a^2*d^2*e^3)","B",0
183,1,495,0,0.186410," ","integrate(log(c*(b*x+a)^p)/(e*x+d)^4,x, algorithm=""giac"")","\frac{2 \, b^{3} p x^{3} e^{3} \log\left(b x + a\right) + 6 \, b^{3} d p x^{2} e^{2} \log\left(b x + a\right) + 6 \, b^{3} d^{2} p x e \log\left(b x + a\right) - 2 \, b^{3} p x^{3} e^{3} \log\left(x e + d\right) - 6 \, b^{3} d p x^{2} e^{2} \log\left(x e + d\right) - 6 \, b^{3} d^{2} p x e \log\left(x e + d\right) + 2 \, b^{3} d p x^{2} e^{2} + 5 \, b^{3} d^{2} p x e + 6 \, a b^{2} d^{2} p e \log\left(b x + a\right) - 2 \, b^{3} d^{3} p \log\left(x e + d\right) + 3 \, b^{3} d^{3} p - 2 \, a b^{2} p x^{2} e^{3} - 6 \, a b^{2} d p x e^{2} - 4 \, a b^{2} d^{2} p e - 6 \, a^{2} b d p e^{2} \log\left(b x + a\right) - 2 \, b^{3} d^{3} \log\left(c\right) + 6 \, a b^{2} d^{2} e \log\left(c\right) + a^{2} b p x e^{3} + a^{2} b d p e^{2} + 2 \, a^{3} p e^{3} \log\left(b x + a\right) - 6 \, a^{2} b d e^{2} \log\left(c\right) + 2 \, a^{3} e^{3} \log\left(c\right)}{6 \, {\left(b^{3} d^{3} x^{3} e^{4} + 3 \, b^{3} d^{4} x^{2} e^{3} + 3 \, b^{3} d^{5} x e^{2} + b^{3} d^{6} e - 3 \, a b^{2} d^{2} x^{3} e^{5} - 9 \, a b^{2} d^{3} x^{2} e^{4} - 9 \, a b^{2} d^{4} x e^{3} - 3 \, a b^{2} d^{5} e^{2} + 3 \, a^{2} b d x^{3} e^{6} + 9 \, a^{2} b d^{2} x^{2} e^{5} + 9 \, a^{2} b d^{3} x e^{4} + 3 \, a^{2} b d^{4} e^{3} - a^{3} x^{3} e^{7} - 3 \, a^{3} d x^{2} e^{6} - 3 \, a^{3} d^{2} x e^{5} - a^{3} d^{3} e^{4}\right)}}"," ",0,"1/6*(2*b^3*p*x^3*e^3*log(b*x + a) + 6*b^3*d*p*x^2*e^2*log(b*x + a) + 6*b^3*d^2*p*x*e*log(b*x + a) - 2*b^3*p*x^3*e^3*log(x*e + d) - 6*b^3*d*p*x^2*e^2*log(x*e + d) - 6*b^3*d^2*p*x*e*log(x*e + d) + 2*b^3*d*p*x^2*e^2 + 5*b^3*d^2*p*x*e + 6*a*b^2*d^2*p*e*log(b*x + a) - 2*b^3*d^3*p*log(x*e + d) + 3*b^3*d^3*p - 2*a*b^2*p*x^2*e^3 - 6*a*b^2*d*p*x*e^2 - 4*a*b^2*d^2*p*e - 6*a^2*b*d*p*e^2*log(b*x + a) - 2*b^3*d^3*log(c) + 6*a*b^2*d^2*e*log(c) + a^2*b*p*x*e^3 + a^2*b*d*p*e^2 + 2*a^3*p*e^3*log(b*x + a) - 6*a^2*b*d*e^2*log(c) + 2*a^3*e^3*log(c))/(b^3*d^3*x^3*e^4 + 3*b^3*d^4*x^2*e^3 + 3*b^3*d^5*x*e^2 + b^3*d^6*e - 3*a*b^2*d^2*x^3*e^5 - 9*a*b^2*d^3*x^2*e^4 - 9*a*b^2*d^4*x*e^3 - 3*a*b^2*d^5*e^2 + 3*a^2*b*d*x^3*e^6 + 9*a^2*b*d^2*x^2*e^5 + 9*a^2*b*d^3*x*e^4 + 3*a^2*b*d^4*e^3 - a^3*x^3*e^7 - 3*a^3*d*x^2*e^6 - 3*a^3*d^2*x*e^5 - a^3*d^3*e^4)","B",0
184,1,273,0,0.206392," ","integrate((e*x+d)^3*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{2 \, {\left(a b d^{3} p - a^{2} d p e^{2}\right)} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b} b} + \frac{6 \, b^{2} p x^{4} e^{3} \log\left(b x^{2} + a\right) + 24 \, b^{2} d p x^{3} e^{2} \log\left(b x^{2} + a\right) + 36 \, b^{2} d^{2} p x^{2} e \log\left(b x^{2} + a\right) - 3 \, b^{2} p x^{4} e^{3} - 16 \, b^{2} d p x^{3} e^{2} - 36 \, b^{2} d^{2} p x^{2} e + 24 \, b^{2} d^{3} p x \log\left(b x^{2} + a\right) + 6 \, b^{2} x^{4} e^{3} \log\left(c\right) + 24 \, b^{2} d x^{3} e^{2} \log\left(c\right) + 36 \, b^{2} d^{2} x^{2} e \log\left(c\right) - 48 \, b^{2} d^{3} p x + 36 \, a b d^{2} p e \log\left(b x^{2} + a\right) + 24 \, b^{2} d^{3} x \log\left(c\right) + 6 \, a b p x^{2} e^{3} + 48 \, a b d p x e^{2} - 6 \, a^{2} p e^{3} \log\left(b x^{2} + a\right)}{24 \, b^{2}}"," ",0,"2*(a*b*d^3*p - a^2*d*p*e^2)*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) + 1/24*(6*b^2*p*x^4*e^3*log(b*x^2 + a) + 24*b^2*d*p*x^3*e^2*log(b*x^2 + a) + 36*b^2*d^2*p*x^2*e*log(b*x^2 + a) - 3*b^2*p*x^4*e^3 - 16*b^2*d*p*x^3*e^2 - 36*b^2*d^2*p*x^2*e + 24*b^2*d^3*p*x*log(b*x^2 + a) + 6*b^2*x^4*e^3*log(c) + 24*b^2*d*x^3*e^2*log(c) + 36*b^2*d^2*x^2*e*log(c) - 48*b^2*d^3*p*x + 36*a*b*d^2*p*e*log(b*x^2 + a) + 24*b^2*d^3*x*log(c) + 6*a*b*p*x^2*e^3 + 48*a*b*d*p*x*e^2 - 6*a^2*p*e^3*log(b*x^2 + a))/b^2","A",0
185,1,173,0,0.195805," ","integrate((e*x+d)^2*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, a b d^{2} p - a^{2} p e^{2}\right)} \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{3 \, \sqrt{a b} b} + \frac{3 \, b p x^{3} e^{2} \log\left(b x^{2} + a\right) + 9 \, b d p x^{2} e \log\left(b x^{2} + a\right) - 2 \, b p x^{3} e^{2} - 9 \, b d p x^{2} e + 9 \, b d^{2} p x \log\left(b x^{2} + a\right) + 3 \, b x^{3} e^{2} \log\left(c\right) + 9 \, b d x^{2} e \log\left(c\right) - 18 \, b d^{2} p x + 9 \, a d p e \log\left(b x^{2} + a\right) + 9 \, b d^{2} x \log\left(c\right) + 6 \, a p x e^{2}}{9 \, b}"," ",0,"2/3*(3*a*b*d^2*p - a^2*p*e^2)*arctan(b*x/sqrt(a*b))/(sqrt(a*b)*b) + 1/9*(3*b*p*x^3*e^2*log(b*x^2 + a) + 9*b*d*p*x^2*e*log(b*x^2 + a) - 2*b*p*x^3*e^2 - 9*b*d*p*x^2*e + 9*b*d^2*p*x*log(b*x^2 + a) + 3*b*x^3*e^2*log(c) + 9*b*d*x^2*e*log(c) - 18*b*d^2*p*x + 9*a*d*p*e*log(b*x^2 + a) + 9*b*d^2*x*log(c) + 6*a*p*x*e^2)/b","A",0
186,1,100,0,0.184594," ","integrate((e*x+d)*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\frac{2 \, a d p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}} + \frac{b p x^{2} e \log\left(b x^{2} + a\right) - b p x^{2} e + 2 \, b d p x \log\left(b x^{2} + a\right) + b x^{2} e \log\left(c\right) - 4 \, b d p x + a p e \log\left(b x^{2} + a\right) + 2 \, b d x \log\left(c\right)}{2 \, b}"," ",0,"2*a*d*p*arctan(b*x/sqrt(a*b))/sqrt(a*b) + 1/2*(b*p*x^2*e*log(b*x^2 + a) - b*p*x^2*e + 2*b*d*p*x*log(b*x^2 + a) + b*x^2*e*log(c) - 4*b*d*p*x + a*p*e*log(b*x^2 + a) + 2*b*d*x*log(c))/b","A",0
187,1,41,0,0.163446," ","integrate(log(c*(b*x^2+a)^p),x, algorithm=""giac"")","p x \log\left(b x^{2} + a\right) + \frac{2 \, a p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}} - {\left(2 \, p - \log\left(c\right)\right)} x"," ",0,"p*x*log(b*x^2 + a) + 2*a*p*arctan(b*x/sqrt(a*b))/sqrt(a*b) - (2*p - log(c))*x","A",0
188,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/(e*x + d), x)","F",0
189,1,158,0,0.215385," ","integrate(log(c*(b*x^2+a)^p)/(e*x+d)^2,x, algorithm=""giac"")","\frac{b d p \log\left(b x^{2} + a\right)}{b d^{2} e + a e^{3}} + \frac{2 \, a b p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{{\left(b d^{2} + a e^{2}\right)} \sqrt{a b}} - \frac{2 \, b d p x e \log\left(x e + d\right) + b d^{2} p \log\left(b x^{2} + a\right) + 2 \, b d^{2} p \log\left(x e + d\right) + a p e^{2} \log\left(b x^{2} + a\right) + b d^{2} \log\left(c\right) + a e^{2} \log\left(c\right)}{b d^{2} x e^{2} + b d^{3} e + a x e^{4} + a d e^{3}}"," ",0,"b*d*p*log(b*x^2 + a)/(b*d^2*e + a*e^3) + 2*a*b*p*arctan(b*x/sqrt(a*b))/((b*d^2 + a*e^2)*sqrt(a*b)) - (2*b*d*p*x*e*log(x*e + d) + b*d^2*p*log(b*x^2 + a) + 2*b*d^2*p*log(x*e + d) + a*p*e^2*log(b*x^2 + a) + b*d^2*log(c) + a*e^2*log(c))/(b*d^2*x*e^2 + b*d^3*e + a*x*e^4 + a*d*e^3)","A",0
190,1,420,0,0.220379," ","integrate(log(c*(b*x^2+a)^p)/(e*x+d)^3,x, algorithm=""giac"")","\frac{2 \, a b^{2} d p \arctan\left(\frac{b x}{\sqrt{a b}}\right)}{{\left(b^{2} d^{4} + 2 \, a b d^{2} e^{2} + a^{2} e^{4}\right)} \sqrt{a b}} + \frac{{\left(b^{2} d^{2} p - a b p e^{2}\right)} \log\left(b x^{2} + a\right)}{2 \, {\left(b^{2} d^{4} e + 2 \, a b d^{2} e^{3} + a^{2} e^{5}\right)}} - \frac{2 \, b^{2} d^{2} p x^{2} e^{2} \log\left(x e + d\right) + 4 \, b^{2} d^{3} p x e \log\left(x e + d\right) - 2 \, b^{2} d^{3} p x e + b^{2} d^{4} p \log\left(b x^{2} + a\right) + 2 \, b^{2} d^{4} p \log\left(x e + d\right) - 2 \, b^{2} d^{4} p + 2 \, a b d^{2} p e^{2} \log\left(b x^{2} + a\right) - 2 \, a b p x^{2} e^{4} \log\left(x e + d\right) - 4 \, a b d p x e^{3} \log\left(x e + d\right) - 2 \, a b d^{2} p e^{2} \log\left(x e + d\right) + b^{2} d^{4} \log\left(c\right) - 2 \, a b d p x e^{3} - 2 \, a b d^{2} p e^{2} + 2 \, a b d^{2} e^{2} \log\left(c\right) + a^{2} p e^{4} \log\left(b x^{2} + a\right) + a^{2} e^{4} \log\left(c\right)}{2 \, {\left(b^{2} d^{4} x^{2} e^{3} + 2 \, b^{2} d^{5} x e^{2} + b^{2} d^{6} e + 2 \, a b d^{2} x^{2} e^{5} + 4 \, a b d^{3} x e^{4} + 2 \, a b d^{4} e^{3} + a^{2} x^{2} e^{7} + 2 \, a^{2} d x e^{6} + a^{2} d^{2} e^{5}\right)}}"," ",0,"2*a*b^2*d*p*arctan(b*x/sqrt(a*b))/((b^2*d^4 + 2*a*b*d^2*e^2 + a^2*e^4)*sqrt(a*b)) + 1/2*(b^2*d^2*p - a*b*p*e^2)*log(b*x^2 + a)/(b^2*d^4*e + 2*a*b*d^2*e^3 + a^2*e^5) - 1/2*(2*b^2*d^2*p*x^2*e^2*log(x*e + d) + 4*b^2*d^3*p*x*e*log(x*e + d) - 2*b^2*d^3*p*x*e + b^2*d^4*p*log(b*x^2 + a) + 2*b^2*d^4*p*log(x*e + d) - 2*b^2*d^4*p + 2*a*b*d^2*p*e^2*log(b*x^2 + a) - 2*a*b*p*x^2*e^4*log(x*e + d) - 4*a*b*d*p*x*e^3*log(x*e + d) - 2*a*b*d^2*p*e^2*log(x*e + d) + b^2*d^4*log(c) - 2*a*b*d*p*x*e^3 - 2*a*b*d^2*p*e^2 + 2*a*b*d^2*e^2*log(c) + a^2*p*e^4*log(b*x^2 + a) + a^2*e^4*log(c))/(b^2*d^4*x^2*e^3 + 2*b^2*d^5*x*e^2 + b^2*d^6*e + 2*a*b*d^2*x^2*e^5 + 4*a*b*d^3*x*e^4 + 2*a*b*d^4*e^3 + a^2*x^2*e^7 + 2*a^2*d*x*e^6 + a^2*d^2*e^5)","B",0
191,1,407,0,0.243611," ","integrate((e*x+d)^3*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{{\left(6 \, a b d^{2} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e + 4 \, a b d^{3} p - a^{2} p e^{3}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{4 \, a b} + \frac{4 \, b p x^{4} e^{3} \log\left(b x^{3} + a\right) + 16 \, b d p x^{3} e^{2} \log\left(b x^{3} + a\right) + 24 \, b d^{2} p x^{2} e \log\left(b x^{3} + a\right) - 3 \, b p x^{4} e^{3} - 16 \, b d p x^{3} e^{2} - 36 \, b d^{2} p x^{2} e + 16 \, b d^{3} p x \log\left(b x^{3} + a\right) + 4 \, b x^{4} e^{3} \log\left(c\right) + 16 \, b d x^{3} e^{2} \log\left(c\right) + 24 \, b d^{2} x^{2} e \log\left(c\right) - 48 \, b d^{3} p x + 16 \, b d^{3} x \log\left(c\right) + 16 \, a d p e^{2} \log\left(b x^{3} + a\right) + 12 \, a p x e^{3}}{16 \, b} + \frac{{\left(4 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b d^{3} p - 6 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} d^{2} p e - \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} a p e^{3}\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{4 \, b^{2}} + \frac{{\left(4 \, \left(-a b^{2}\right)^{\frac{1}{3}} b d^{3} p + 6 \, \left(-a b^{2}\right)^{\frac{2}{3}} d^{2} p e - \left(-a b^{2}\right)^{\frac{1}{3}} a p e^{3}\right)} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{8 \, b^{2}}"," ",0,"-1/4*(6*a*b*d^2*p*(-a/b)^(1/3)*e + 4*a*b*d^3*p - a^2*p*e^3)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b) + 1/16*(4*b*p*x^4*e^3*log(b*x^3 + a) + 16*b*d*p*x^3*e^2*log(b*x^3 + a) + 24*b*d^2*p*x^2*e*log(b*x^3 + a) - 3*b*p*x^4*e^3 - 16*b*d*p*x^3*e^2 - 36*b*d^2*p*x^2*e + 16*b*d^3*p*x*log(b*x^3 + a) + 4*b*x^4*e^3*log(c) + 16*b*d*x^3*e^2*log(c) + 24*b*d^2*x^2*e*log(c) - 48*b*d^3*p*x + 16*b*d^3*x*log(c) + 16*a*d*p*e^2*log(b*x^3 + a) + 12*a*p*x*e^3)/b + 1/4*(4*sqrt(3)*(-a*b^2)^(1/3)*b*d^3*p - 6*sqrt(3)*(-a*b^2)^(2/3)*d^2*p*e - sqrt(3)*(-a*b^2)^(1/3)*a*p*e^3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^2 + 1/8*(4*(-a*b^2)^(1/3)*b*d^3*p + 6*(-a*b^2)^(2/3)*d^2*p*e - (-a*b^2)^(1/3)*a*p*e^3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^2","A",0
192,1,298,0,0.213197," ","integrate((e*x+d)^2*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{{\left(a d p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e + a d^{2} p\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a} + \frac{2 \, b p x^{3} e^{2} \log\left(b x^{3} + a\right) + 6 \, b d p x^{2} e \log\left(b x^{3} + a\right) - 2 \, b p x^{3} e^{2} - 9 \, b d p x^{2} e + 6 \, b d^{2} p x \log\left(b x^{3} + a\right) + 2 \, b x^{3} e^{2} \log\left(c\right) + 6 \, b d x^{2} e \log\left(c\right) - 18 \, b d^{2} p x + 6 \, b d^{2} x \log\left(c\right) + 2 \, a p e^{2} \log\left(b x^{3} + a\right)}{6 \, b} + \frac{{\left(\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b d^{2} p - \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} d p e\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{2}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} b d^{2} p + \left(-a b^{2}\right)^{\frac{2}{3}} d p e\right)} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, b^{2}}"," ",0,"-(a*d*p*(-a/b)^(1/3)*e + a*d^2*p)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a + 1/6*(2*b*p*x^3*e^2*log(b*x^3 + a) + 6*b*d*p*x^2*e*log(b*x^3 + a) - 2*b*p*x^3*e^2 - 9*b*d*p*x^2*e + 6*b*d^2*p*x*log(b*x^3 + a) + 2*b*x^3*e^2*log(c) + 6*b*d*x^2*e*log(c) - 18*b*d^2*p*x + 6*b*d^2*x*log(c) + 2*a*p*e^2*log(b*x^3 + a))/b + (sqrt(3)*(-a*b^2)^(1/3)*b*d^2*p - sqrt(3)*(-a*b^2)^(2/3)*d*p*e)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^2 + 1/2*((-a*b^2)^(1/3)*b*d^2*p + (-a*b^2)^(2/3)*d*p*e)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^2","A",0
193,1,220,0,0.188785," ","integrate((e*x+d)*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","\frac{1}{2} \, p x^{2} e \log\left(b x^{3} + a\right) - \frac{3}{4} \, p x^{2} e + d p x \log\left(b x^{3} + a\right) + \frac{1}{2} \, x^{2} e \log\left(c\right) - 3 \, d p x + d x \log\left(c\right) - \frac{{\left(a p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e + 2 \, a d p\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{2 \, a} + \frac{{\left(2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b d p - \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} p e\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{2 \, b^{2}} + \frac{{\left(2 \, \left(-a b^{2}\right)^{\frac{1}{3}} b d p + \left(-a b^{2}\right)^{\frac{2}{3}} p e\right)} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{4 \, b^{2}}"," ",0,"1/2*p*x^2*e*log(b*x^3 + a) - 3/4*p*x^2*e + d*p*x*log(b*x^3 + a) + 1/2*x^2*e*log(c) - 3*d*p*x + d*x*log(c) - 1/2*(a*p*(-a/b)^(1/3)*e + 2*a*d*p)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/a + 1/2*(2*sqrt(3)*(-a*b^2)^(1/3)*b*d*p - sqrt(3)*(-a*b^2)^(2/3)*p*e)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/b^2 + 1/4*(2*(-a*b^2)^(1/3)*b*d*p + (-a*b^2)^(2/3)*p*e)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/b^2","A",0
194,1,143,0,0.188172," ","integrate(log(c*(b*x^3+a)^p),x, algorithm=""giac"")","-\frac{1}{2} \, a b p {\left(\frac{2 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b} - \frac{2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{a b^{2}} - \frac{\left(-a b^{2}\right)^{\frac{1}{3}} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{a b^{2}}\right)} + p x \log\left(b x^{3} + a\right) - {\left(3 \, p - \log\left(c\right)\right)} x"," ",0,"-1/2*a*b*p*(2*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b) - 2*sqrt(3)*(-a*b^2)^(1/3)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(a*b^2) - (-a*b^2)^(1/3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(a*b^2)) + p*x*log(b*x^3 + a) - (3*p - log(c))*x","A",0
195,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/(e*x + d), x)","F",0
196,1,398,0,0.320146," ","integrate(log(c*(b*x^3+a)^p)/(e*x+d)^2,x, algorithm=""giac"")","\frac{b d^{2} p \log\left({\left| b x^{3} + a \right|}\right)}{b d^{3} e - a e^{4}} + \frac{\sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b p \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{b^{2} d^{2} - \left(-a b^{2}\right)^{\frac{1}{3}} b d e + \left(-a b^{2}\right)^{\frac{2}{3}} e^{2}} - \frac{{\left(a b^{3} d^{4} p e^{2} - a b^{3} d^{3} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e^{3} - a^{2} b^{2} d p e^{5} + a^{2} b^{2} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e^{6}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{a b^{3} d^{6} e^{2} - 2 \, a^{2} b^{2} d^{3} e^{5} + a^{3} b e^{8}} + \frac{{\left(\left(-a b^{2}\right)^{\frac{1}{3}} b d p - \left(-a b^{2}\right)^{\frac{2}{3}} p e\right)} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \, {\left(b^{2} d^{3} - a b e^{3}\right)}} - \frac{3 \, b d^{2} p x e \log\left(x e + d\right) + b d^{3} p \log\left(b x^{3} + a\right) + 3 \, b d^{3} p \log\left(x e + d\right) + b d^{3} \log\left(c\right) - a p e^{3} \log\left(b x^{3} + a\right) - a e^{3} \log\left(c\right)}{b d^{3} x e^{2} + b d^{4} e - a x e^{5} - a d e^{4}}"," ",0,"b*d^2*p*log(abs(b*x^3 + a))/(b*d^3*e - a*e^4) + sqrt(3)*(-a*b^2)^(1/3)*b*p*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(b^2*d^2 - (-a*b^2)^(1/3)*b*d*e + (-a*b^2)^(2/3)*e^2) - (a*b^3*d^4*p*e^2 - a*b^3*d^3*p*(-a/b)^(1/3)*e^3 - a^2*b^2*d*p*e^5 + a^2*b^2*p*(-a/b)^(1/3)*e^6)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^3*d^6*e^2 - 2*a^2*b^2*d^3*e^5 + a^3*b*e^8) + 1/2*((-a*b^2)^(1/3)*b*d*p - (-a*b^2)^(2/3)*p*e)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^2*d^3 - a*b*e^3) - (3*b*d^2*p*x*e*log(x*e + d) + b*d^3*p*log(b*x^3 + a) + 3*b*d^3*p*log(x*e + d) + b*d^3*log(c) - a*p*e^3*log(b*x^3 + a) - a*e^3*log(c))/(b*d^3*x*e^2 + b*d^4*e - a*x*e^5 - a*d*e^4)","A",0
197,1,790,0,0.723881," ","integrate(log(c*(b*x^3+a)^p)/(e*x+d)^3,x, algorithm=""giac"")","-\frac{{\left(2 \, a b^{5} d^{9} p e^{2} - 3 \, a b^{5} d^{8} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e^{3} - 3 \, a^{2} b^{4} d^{6} p e^{5} + 6 \, a^{2} b^{4} d^{5} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e^{6} - 3 \, a^{3} b^{3} d^{2} p \left(-\frac{a}{b}\right)^{\frac{1}{3}} e^{9} + a^{4} b^{2} p e^{11}\right)} \left(-\frac{a}{b}\right)^{\frac{1}{3}} \log\left({\left| x - \left(-\frac{a}{b}\right)^{\frac{1}{3}} \right|}\right)}{2 \, {\left(a b^{5} d^{12} e^{2} - 4 \, a^{2} b^{4} d^{9} e^{5} + 6 \, a^{3} b^{3} d^{6} e^{8} - 4 \, a^{4} b^{2} d^{3} e^{11} + a^{5} b e^{14}\right)}} + \frac{3 \, {\left(2 \, \left(-a b^{2}\right)^{\frac{1}{3}} b d p - \left(-a b^{2}\right)^{\frac{2}{3}} p e\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, x + \left(-\frac{a}{b}\right)^{\frac{1}{3}}\right)}}{3 \, \left(-\frac{a}{b}\right)^{\frac{1}{3}}}\right)}{2 \, {\left(\sqrt{3} b^{2} d^{4} - 2 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} b d^{3} e + 2 \, \sqrt{3} a b d e^{3} + 3 \, \sqrt{3} \left(-a b^{2}\right)^{\frac{2}{3}} d^{2} e^{2} - \sqrt{3} \left(-a b^{2}\right)^{\frac{1}{3}} a e^{4}\right)}} + \frac{{\left(2 \, \left(-a b^{2}\right)^{\frac{1}{3}} b d^{3} p - 3 \, \left(-a b^{2}\right)^{\frac{2}{3}} d^{2} p e + \left(-a b^{2}\right)^{\frac{1}{3}} a p e^{3}\right)} \log\left(x^{2} + x \left(-\frac{a}{b}\right)^{\frac{1}{3}} + \left(-\frac{a}{b}\right)^{\frac{2}{3}}\right)}{4 \, {\left(b^{2} d^{6} - 2 \, a b d^{3} e^{3} + a^{2} e^{6}\right)}} + \frac{{\left(b^{2} d^{4} p + 2 \, a b d p e^{3}\right)} \log\left({\left| b x^{3} + a \right|}\right)}{2 \, {\left(b^{2} d^{6} e - 2 \, a b d^{3} e^{4} + a^{2} e^{7}\right)}} - \frac{3 \, b^{2} d^{4} p x^{2} e^{2} \log\left(x e + d\right) + 6 \, b^{2} d^{5} p x e \log\left(x e + d\right) - 3 \, b^{2} d^{5} p x e + b^{2} d^{6} p \log\left(b x^{3} + a\right) + 3 \, b^{2} d^{6} p \log\left(x e + d\right) - 3 \, b^{2} d^{6} p + b^{2} d^{6} \log\left(c\right) - 2 \, a b d^{3} p e^{3} \log\left(b x^{3} + a\right) + 6 \, a b d p x^{2} e^{5} \log\left(x e + d\right) + 12 \, a b d^{2} p x e^{4} \log\left(x e + d\right) + 6 \, a b d^{3} p e^{3} \log\left(x e + d\right) + 3 \, a b d^{2} p x e^{4} + 3 \, a b d^{3} p e^{3} - 2 \, a b d^{3} e^{3} \log\left(c\right) + a^{2} p e^{6} \log\left(b x^{3} + a\right) + a^{2} e^{6} \log\left(c\right)}{2 \, {\left(b^{2} d^{6} x^{2} e^{3} + 2 \, b^{2} d^{7} x e^{2} + b^{2} d^{8} e - 2 \, a b d^{3} x^{2} e^{6} - 4 \, a b d^{4} x e^{5} - 2 \, a b d^{5} e^{4} + a^{2} x^{2} e^{9} + 2 \, a^{2} d x e^{8} + a^{2} d^{2} e^{7}\right)}}"," ",0,"-1/2*(2*a*b^5*d^9*p*e^2 - 3*a*b^5*d^8*p*(-a/b)^(1/3)*e^3 - 3*a^2*b^4*d^6*p*e^5 + 6*a^2*b^4*d^5*p*(-a/b)^(1/3)*e^6 - 3*a^3*b^3*d^2*p*(-a/b)^(1/3)*e^9 + a^4*b^2*p*e^11)*(-a/b)^(1/3)*log(abs(x - (-a/b)^(1/3)))/(a*b^5*d^12*e^2 - 4*a^2*b^4*d^9*e^5 + 6*a^3*b^3*d^6*e^8 - 4*a^4*b^2*d^3*e^11 + a^5*b*e^14) + 3/2*(2*(-a*b^2)^(1/3)*b*d*p - (-a*b^2)^(2/3)*p*e)*arctan(1/3*sqrt(3)*(2*x + (-a/b)^(1/3))/(-a/b)^(1/3))/(sqrt(3)*b^2*d^4 - 2*sqrt(3)*(-a*b^2)^(1/3)*b*d^3*e + 2*sqrt(3)*a*b*d*e^3 + 3*sqrt(3)*(-a*b^2)^(2/3)*d^2*e^2 - sqrt(3)*(-a*b^2)^(1/3)*a*e^4) + 1/4*(2*(-a*b^2)^(1/3)*b*d^3*p - 3*(-a*b^2)^(2/3)*d^2*p*e + (-a*b^2)^(1/3)*a*p*e^3)*log(x^2 + x*(-a/b)^(1/3) + (-a/b)^(2/3))/(b^2*d^6 - 2*a*b*d^3*e^3 + a^2*e^6) + 1/2*(b^2*d^4*p + 2*a*b*d*p*e^3)*log(abs(b*x^3 + a))/(b^2*d^6*e - 2*a*b*d^3*e^4 + a^2*e^7) - 1/2*(3*b^2*d^4*p*x^2*e^2*log(x*e + d) + 6*b^2*d^5*p*x*e*log(x*e + d) - 3*b^2*d^5*p*x*e + b^2*d^6*p*log(b*x^3 + a) + 3*b^2*d^6*p*log(x*e + d) - 3*b^2*d^6*p + b^2*d^6*log(c) - 2*a*b*d^3*p*e^3*log(b*x^3 + a) + 6*a*b*d*p*x^2*e^5*log(x*e + d) + 12*a*b*d^2*p*x*e^4*log(x*e + d) + 6*a*b*d^3*p*e^3*log(x*e + d) + 3*a*b*d^2*p*x*e^4 + 3*a*b*d^3*p*e^3 - 2*a*b*d^3*e^3*log(c) + a^2*p*e^6*log(b*x^3 + a) + a^2*e^6*log(c))/(b^2*d^6*x^2*e^3 + 2*b^2*d^7*x*e^2 + b^2*d^8*e - 2*a*b*d^3*x^2*e^6 - 4*a*b*d^4*x*e^5 - 2*a*b*d^5*e^4 + a^2*x^2*e^9 + 2*a^2*d*x*e^8 + a^2*d^2*e^7)","B",0
198,1,1659,0,0.299942," ","integrate((e*x+d)^3*log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{24 \, a^{7} b^{2} d^{3} p \log\left(-a + \frac{a x + b}{x}\right) - 36 \, a^{6} b^{3} d^{2} p e \log\left(-a + \frac{a x + b}{x}\right) + 36 \, a^{6} b^{3} d^{2} p e - \frac{96 \, {\left(a x + b\right)} a^{6} b^{2} d^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{x} + 24 \, a^{5} b^{4} d p e^{2} \log\left(-a + \frac{a x + b}{x}\right) + \frac{144 \, {\left(a x + b\right)} a^{5} b^{3} d^{2} p e \log\left(-a + \frac{a x + b}{x}\right)}{x} + 24 \, a^{7} b^{2} d^{3} \log\left(c\right) - 36 \, a^{6} b^{3} d^{2} e \log\left(c\right) + \frac{24 \, {\left(a x + b\right)} a^{6} b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x} - \frac{72 \, {\left(a x + b\right)} a^{5} b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x} - 36 \, a^{5} b^{4} d p e^{2} - \frac{108 \, {\left(a x + b\right)} a^{5} b^{3} d^{2} p e}{x} + \frac{144 \, {\left(a x + b\right)}^{2} a^{5} b^{2} d^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - 6 \, a^{4} b^{5} p e^{3} \log\left(-a + \frac{a x + b}{x}\right) - \frac{96 \, {\left(a x + b\right)} a^{4} b^{4} d p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x} - \frac{216 \, {\left(a x + b\right)}^{2} a^{4} b^{3} d^{2} p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{72 \, {\left(a x + b\right)} a^{6} b^{2} d^{3} \log\left(c\right)}{x} + 24 \, a^{5} b^{4} d e^{2} \log\left(c\right) + \frac{72 \, {\left(a x + b\right)} a^{5} b^{3} d^{2} e \log\left(c\right)}{x} - \frac{72 \, {\left(a x + b\right)}^{2} a^{5} b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{72 \, {\left(a x + b\right)} a^{4} b^{4} d p e^{2} \log\left(\frac{a x + b}{x}\right)}{x} + \frac{180 \, {\left(a x + b\right)}^{2} a^{4} b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x^{2}} + 11 \, a^{4} b^{5} p e^{3} + \frac{96 \, {\left(a x + b\right)} a^{4} b^{4} d p e^{2}}{x} + \frac{108 \, {\left(a x + b\right)}^{2} a^{4} b^{3} d^{2} p e}{x^{2}} - \frac{96 \, {\left(a x + b\right)}^{3} a^{4} b^{2} d^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{24 \, {\left(a x + b\right)} a^{3} b^{5} p e^{3} \log\left(-a + \frac{a x + b}{x}\right)}{x} + \frac{144 \, {\left(a x + b\right)}^{2} a^{3} b^{4} d p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} + \frac{144 \, {\left(a x + b\right)}^{3} a^{3} b^{3} d^{2} p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{72 \, {\left(a x + b\right)}^{2} a^{5} b^{2} d^{3} \log\left(c\right)}{x^{2}} - 6 \, a^{4} b^{5} e^{3} \log\left(c\right) - \frac{24 \, {\left(a x + b\right)} a^{4} b^{4} d e^{2} \log\left(c\right)}{x} - \frac{36 \, {\left(a x + b\right)}^{2} a^{4} b^{3} d^{2} e \log\left(c\right)}{x^{2}} + \frac{72 \, {\left(a x + b\right)}^{3} a^{4} b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{24 \, {\left(a x + b\right)} a^{3} b^{5} p e^{3} \log\left(\frac{a x + b}{x}\right)}{x} - \frac{144 \, {\left(a x + b\right)}^{2} a^{3} b^{4} d p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{2}} - \frac{144 \, {\left(a x + b\right)}^{3} a^{3} b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{26 \, {\left(a x + b\right)} a^{3} b^{5} p e^{3}}{x} - \frac{84 \, {\left(a x + b\right)}^{2} a^{3} b^{4} d p e^{2}}{x^{2}} - \frac{36 \, {\left(a x + b\right)}^{3} a^{3} b^{3} d^{2} p e}{x^{3}} + \frac{24 \, {\left(a x + b\right)}^{4} a^{3} b^{2} d^{3} p \log\left(-a + \frac{a x + b}{x}\right)}{x^{4}} - \frac{36 \, {\left(a x + b\right)}^{2} a^{2} b^{5} p e^{3} \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{96 \, {\left(a x + b\right)}^{3} a^{2} b^{4} d p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} - \frac{36 \, {\left(a x + b\right)}^{4} a^{2} b^{3} d^{2} p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{4}} - \frac{24 \, {\left(a x + b\right)}^{3} a^{4} b^{2} d^{3} \log\left(c\right)}{x^{3}} - \frac{24 \, {\left(a x + b\right)}^{4} a^{3} b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x^{4}} + \frac{36 \, {\left(a x + b\right)}^{2} a^{2} b^{5} p e^{3} \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{96 \, {\left(a x + b\right)}^{3} a^{2} b^{4} d p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{3}} + \frac{36 \, {\left(a x + b\right)}^{4} a^{2} b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x^{4}} + \frac{21 \, {\left(a x + b\right)}^{2} a^{2} b^{5} p e^{3}}{x^{2}} + \frac{24 \, {\left(a x + b\right)}^{3} a^{2} b^{4} d p e^{2}}{x^{3}} + \frac{24 \, {\left(a x + b\right)}^{3} a b^{5} p e^{3} \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{24 \, {\left(a x + b\right)}^{4} a b^{4} d p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x^{4}} - \frac{24 \, {\left(a x + b\right)}^{3} a b^{5} p e^{3} \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{24 \, {\left(a x + b\right)}^{4} a b^{4} d p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{4}} - \frac{6 \, {\left(a x + b\right)}^{3} a b^{5} p e^{3}}{x^{3}} - \frac{6 \, {\left(a x + b\right)}^{4} b^{5} p e^{3} \log\left(-a + \frac{a x + b}{x}\right)}{x^{4}} + \frac{6 \, {\left(a x + b\right)}^{4} b^{5} p e^{3} \log\left(\frac{a x + b}{x}\right)}{x^{4}}}{24 \, {\left(a^{8} - \frac{4 \, {\left(a x + b\right)} a^{7}}{x} + \frac{6 \, {\left(a x + b\right)}^{2} a^{6}}{x^{2}} - \frac{4 \, {\left(a x + b\right)}^{3} a^{5}}{x^{3}} + \frac{{\left(a x + b\right)}^{4} a^{4}}{x^{4}}\right)} b}"," ",0,"-1/24*(24*a^7*b^2*d^3*p*log(-a + (a*x + b)/x) - 36*a^6*b^3*d^2*p*e*log(-a + (a*x + b)/x) + 36*a^6*b^3*d^2*p*e - 96*(a*x + b)*a^6*b^2*d^3*p*log(-a + (a*x + b)/x)/x + 24*a^5*b^4*d*p*e^2*log(-a + (a*x + b)/x) + 144*(a*x + b)*a^5*b^3*d^2*p*e*log(-a + (a*x + b)/x)/x + 24*a^7*b^2*d^3*log(c) - 36*a^6*b^3*d^2*e*log(c) + 24*(a*x + b)*a^6*b^2*d^3*p*log((a*x + b)/x)/x - 72*(a*x + b)*a^5*b^3*d^2*p*e*log((a*x + b)/x)/x - 36*a^5*b^4*d*p*e^2 - 108*(a*x + b)*a^5*b^3*d^2*p*e/x + 144*(a*x + b)^2*a^5*b^2*d^3*p*log(-a + (a*x + b)/x)/x^2 - 6*a^4*b^5*p*e^3*log(-a + (a*x + b)/x) - 96*(a*x + b)*a^4*b^4*d*p*e^2*log(-a + (a*x + b)/x)/x - 216*(a*x + b)^2*a^4*b^3*d^2*p*e*log(-a + (a*x + b)/x)/x^2 - 72*(a*x + b)*a^6*b^2*d^3*log(c)/x + 24*a^5*b^4*d*e^2*log(c) + 72*(a*x + b)*a^5*b^3*d^2*e*log(c)/x - 72*(a*x + b)^2*a^5*b^2*d^3*p*log((a*x + b)/x)/x^2 + 72*(a*x + b)*a^4*b^4*d*p*e^2*log((a*x + b)/x)/x + 180*(a*x + b)^2*a^4*b^3*d^2*p*e*log((a*x + b)/x)/x^2 + 11*a^4*b^5*p*e^3 + 96*(a*x + b)*a^4*b^4*d*p*e^2/x + 108*(a*x + b)^2*a^4*b^3*d^2*p*e/x^2 - 96*(a*x + b)^3*a^4*b^2*d^3*p*log(-a + (a*x + b)/x)/x^3 + 24*(a*x + b)*a^3*b^5*p*e^3*log(-a + (a*x + b)/x)/x + 144*(a*x + b)^2*a^3*b^4*d*p*e^2*log(-a + (a*x + b)/x)/x^2 + 144*(a*x + b)^3*a^3*b^3*d^2*p*e*log(-a + (a*x + b)/x)/x^3 + 72*(a*x + b)^2*a^5*b^2*d^3*log(c)/x^2 - 6*a^4*b^5*e^3*log(c) - 24*(a*x + b)*a^4*b^4*d*e^2*log(c)/x - 36*(a*x + b)^2*a^4*b^3*d^2*e*log(c)/x^2 + 72*(a*x + b)^3*a^4*b^2*d^3*p*log((a*x + b)/x)/x^3 - 24*(a*x + b)*a^3*b^5*p*e^3*log((a*x + b)/x)/x - 144*(a*x + b)^2*a^3*b^4*d*p*e^2*log((a*x + b)/x)/x^2 - 144*(a*x + b)^3*a^3*b^3*d^2*p*e*log((a*x + b)/x)/x^3 - 26*(a*x + b)*a^3*b^5*p*e^3/x - 84*(a*x + b)^2*a^3*b^4*d*p*e^2/x^2 - 36*(a*x + b)^3*a^3*b^3*d^2*p*e/x^3 + 24*(a*x + b)^4*a^3*b^2*d^3*p*log(-a + (a*x + b)/x)/x^4 - 36*(a*x + b)^2*a^2*b^5*p*e^3*log(-a + (a*x + b)/x)/x^2 - 96*(a*x + b)^3*a^2*b^4*d*p*e^2*log(-a + (a*x + b)/x)/x^3 - 36*(a*x + b)^4*a^2*b^3*d^2*p*e*log(-a + (a*x + b)/x)/x^4 - 24*(a*x + b)^3*a^4*b^2*d^3*log(c)/x^3 - 24*(a*x + b)^4*a^3*b^2*d^3*p*log((a*x + b)/x)/x^4 + 36*(a*x + b)^2*a^2*b^5*p*e^3*log((a*x + b)/x)/x^2 + 96*(a*x + b)^3*a^2*b^4*d*p*e^2*log((a*x + b)/x)/x^3 + 36*(a*x + b)^4*a^2*b^3*d^2*p*e*log((a*x + b)/x)/x^4 + 21*(a*x + b)^2*a^2*b^5*p*e^3/x^2 + 24*(a*x + b)^3*a^2*b^4*d*p*e^2/x^3 + 24*(a*x + b)^3*a*b^5*p*e^3*log(-a + (a*x + b)/x)/x^3 + 24*(a*x + b)^4*a*b^4*d*p*e^2*log(-a + (a*x + b)/x)/x^4 - 24*(a*x + b)^3*a*b^5*p*e^3*log((a*x + b)/x)/x^3 - 24*(a*x + b)^4*a*b^4*d*p*e^2*log((a*x + b)/x)/x^4 - 6*(a*x + b)^3*a*b^5*p*e^3/x^3 - 6*(a*x + b)^4*b^5*p*e^3*log(-a + (a*x + b)/x)/x^4 + 6*(a*x + b)^4*b^5*p*e^3*log((a*x + b)/x)/x^4)/((a^8 - 4*(a*x + b)*a^7/x + 6*(a*x + b)^2*a^6/x^2 - 4*(a*x + b)^3*a^5/x^3 + (a*x + b)^4*a^4/x^4)*b)","B",0
199,1,918,0,0.261507," ","integrate((e*x+d)^2*log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{6 \, a^{5} b^{2} d^{2} p \log\left(-a + \frac{a x + b}{x}\right) - 6 \, a^{4} b^{3} d p e \log\left(-a + \frac{a x + b}{x}\right) + 6 \, a^{4} b^{3} d p e - \frac{18 \, {\left(a x + b\right)} a^{4} b^{2} d^{2} p \log\left(-a + \frac{a x + b}{x}\right)}{x} + 2 \, a^{3} b^{4} p e^{2} \log\left(-a + \frac{a x + b}{x}\right) + \frac{18 \, {\left(a x + b\right)} a^{3} b^{3} d p e \log\left(-a + \frac{a x + b}{x}\right)}{x} + 6 \, a^{5} b^{2} d^{2} \log\left(c\right) - 6 \, a^{4} b^{3} d e \log\left(c\right) + \frac{6 \, {\left(a x + b\right)} a^{4} b^{2} d^{2} p \log\left(\frac{a x + b}{x}\right)}{x} - \frac{12 \, {\left(a x + b\right)} a^{3} b^{3} d p e \log\left(\frac{a x + b}{x}\right)}{x} - 3 \, a^{3} b^{4} p e^{2} - \frac{12 \, {\left(a x + b\right)} a^{3} b^{3} d p e}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{2} p \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{6 \, {\left(a x + b\right)} a^{2} b^{4} p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x} - \frac{18 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{12 \, {\left(a x + b\right)} a^{4} b^{2} d^{2} \log\left(c\right)}{x} + 2 \, a^{3} b^{4} e^{2} \log\left(c\right) + \frac{6 \, {\left(a x + b\right)} a^{3} b^{3} d e \log\left(c\right)}{x} - \frac{12 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{2} p \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)} a^{2} b^{4} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d p e \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{5 \, {\left(a x + b\right)} a^{2} b^{4} p e^{2}}{x} + \frac{6 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d p e}{x^{2}} - \frac{6 \, {\left(a x + b\right)}^{3} a^{2} b^{2} d^{2} p \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{6 \, {\left(a x + b\right)}^{2} a b^{4} p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)}^{3} a b^{3} d p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{6 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{2} \log\left(c\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)}^{3} a^{2} b^{2} d^{2} p \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{6 \, {\left(a x + b\right)}^{2} a b^{4} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{2}} - \frac{6 \, {\left(a x + b\right)}^{3} a b^{3} d p e \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{2 \, {\left(a x + b\right)}^{2} a b^{4} p e^{2}}{x^{2}} - \frac{2 \, {\left(a x + b\right)}^{3} b^{4} p e^{2} \log\left(-a + \frac{a x + b}{x}\right)}{x^{3}} + \frac{2 \, {\left(a x + b\right)}^{3} b^{4} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{3}}}{6 \, {\left(a^{6} - \frac{3 \, {\left(a x + b\right)} a^{5}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a^{4}}{x^{2}} - \frac{{\left(a x + b\right)}^{3} a^{3}}{x^{3}}\right)} b}"," ",0,"-1/6*(6*a^5*b^2*d^2*p*log(-a + (a*x + b)/x) - 6*a^4*b^3*d*p*e*log(-a + (a*x + b)/x) + 6*a^4*b^3*d*p*e - 18*(a*x + b)*a^4*b^2*d^2*p*log(-a + (a*x + b)/x)/x + 2*a^3*b^4*p*e^2*log(-a + (a*x + b)/x) + 18*(a*x + b)*a^3*b^3*d*p*e*log(-a + (a*x + b)/x)/x + 6*a^5*b^2*d^2*log(c) - 6*a^4*b^3*d*e*log(c) + 6*(a*x + b)*a^4*b^2*d^2*p*log((a*x + b)/x)/x - 12*(a*x + b)*a^3*b^3*d*p*e*log((a*x + b)/x)/x - 3*a^3*b^4*p*e^2 - 12*(a*x + b)*a^3*b^3*d*p*e/x + 18*(a*x + b)^2*a^3*b^2*d^2*p*log(-a + (a*x + b)/x)/x^2 - 6*(a*x + b)*a^2*b^4*p*e^2*log(-a + (a*x + b)/x)/x - 18*(a*x + b)^2*a^2*b^3*d*p*e*log(-a + (a*x + b)/x)/x^2 - 12*(a*x + b)*a^4*b^2*d^2*log(c)/x + 2*a^3*b^4*e^2*log(c) + 6*(a*x + b)*a^3*b^3*d*e*log(c)/x - 12*(a*x + b)^2*a^3*b^2*d^2*p*log((a*x + b)/x)/x^2 + 6*(a*x + b)*a^2*b^4*p*e^2*log((a*x + b)/x)/x + 18*(a*x + b)^2*a^2*b^3*d*p*e*log((a*x + b)/x)/x^2 + 5*(a*x + b)*a^2*b^4*p*e^2/x + 6*(a*x + b)^2*a^2*b^3*d*p*e/x^2 - 6*(a*x + b)^3*a^2*b^2*d^2*p*log(-a + (a*x + b)/x)/x^3 + 6*(a*x + b)^2*a*b^4*p*e^2*log(-a + (a*x + b)/x)/x^2 + 6*(a*x + b)^3*a*b^3*d*p*e*log(-a + (a*x + b)/x)/x^3 + 6*(a*x + b)^2*a^3*b^2*d^2*log(c)/x^2 + 6*(a*x + b)^3*a^2*b^2*d^2*p*log((a*x + b)/x)/x^3 - 6*(a*x + b)^2*a*b^4*p*e^2*log((a*x + b)/x)/x^2 - 6*(a*x + b)^3*a*b^3*d*p*e*log((a*x + b)/x)/x^3 - 2*(a*x + b)^2*a*b^4*p*e^2/x^2 - 2*(a*x + b)^3*b^4*p*e^2*log(-a + (a*x + b)/x)/x^3 + 2*(a*x + b)^3*b^4*p*e^2*log((a*x + b)/x)/x^3)/((a^6 - 3*(a*x + b)*a^5/x + 3*(a*x + b)^2*a^4/x^2 - (a*x + b)^3*a^3/x^3)*b)","B",0
200,1,394,0,0.190274," ","integrate((e*x+d)*log(c*(a+b/x)^p),x, algorithm=""giac"")","-\frac{2 \, a^{3} b^{2} d p \log\left(-a + \frac{a x + b}{x}\right) - a^{2} b^{3} p e \log\left(-a + \frac{a x + b}{x}\right) + a^{2} b^{3} p e - \frac{4 \, {\left(a x + b\right)} a^{2} b^{2} d p \log\left(-a + \frac{a x + b}{x}\right)}{x} + \frac{2 \, {\left(a x + b\right)} a b^{3} p e \log\left(-a + \frac{a x + b}{x}\right)}{x} + 2 \, a^{3} b^{2} d \log\left(c\right) - a^{2} b^{3} e \log\left(c\right) + \frac{2 \, {\left(a x + b\right)} a^{2} b^{2} d p \log\left(\frac{a x + b}{x}\right)}{x} - \frac{2 \, {\left(a x + b\right)} a b^{3} p e \log\left(\frac{a x + b}{x}\right)}{x} - \frac{{\left(a x + b\right)} a b^{3} p e}{x} + \frac{2 \, {\left(a x + b\right)}^{2} a b^{2} d p \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{{\left(a x + b\right)}^{2} b^{3} p e \log\left(-a + \frac{a x + b}{x}\right)}{x^{2}} - \frac{2 \, {\left(a x + b\right)} a^{2} b^{2} d \log\left(c\right)}{x} - \frac{2 \, {\left(a x + b\right)}^{2} a b^{2} d p \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{{\left(a x + b\right)}^{2} b^{3} p e \log\left(\frac{a x + b}{x}\right)}{x^{2}}}{2 \, {\left(a^{4} - \frac{2 \, {\left(a x + b\right)} a^{3}}{x} + \frac{{\left(a x + b\right)}^{2} a^{2}}{x^{2}}\right)} b}"," ",0,"-1/2*(2*a^3*b^2*d*p*log(-a + (a*x + b)/x) - a^2*b^3*p*e*log(-a + (a*x + b)/x) + a^2*b^3*p*e - 4*(a*x + b)*a^2*b^2*d*p*log(-a + (a*x + b)/x)/x + 2*(a*x + b)*a*b^3*p*e*log(-a + (a*x + b)/x)/x + 2*a^3*b^2*d*log(c) - a^2*b^3*e*log(c) + 2*(a*x + b)*a^2*b^2*d*p*log((a*x + b)/x)/x - 2*(a*x + b)*a*b^3*p*e*log((a*x + b)/x)/x - (a*x + b)*a*b^3*p*e/x + 2*(a*x + b)^2*a*b^2*d*p*log(-a + (a*x + b)/x)/x^2 - (a*x + b)^2*b^3*p*e*log(-a + (a*x + b)/x)/x^2 - 2*(a*x + b)*a^2*b^2*d*log(c)/x - 2*(a*x + b)^2*a*b^2*d*p*log((a*x + b)/x)/x^2 + (a*x + b)^2*b^3*p*e*log((a*x + b)/x)/x^2)/((a^4 - 2*(a*x + b)*a^3/x + (a*x + b)^2*a^2/x^2)*b)","B",0
201,0,0,0,0.000000," ","integrate(log(c*(a+b/x)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((a + b/x)^p*c)/(e*x + d), x)","F",0
202,1,192,0,0.206393," ","integrate(log(c*(a+b/x)^p)/(e*x+d)^2,x, algorithm=""giac"")","-\frac{a b^{2} d p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - b^{3} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - \frac{{\left(a x + b\right)} b^{2} d p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + a b^{2} d \log\left(c\right) - b^{3} e \log\left(c\right) + \frac{{\left(a x + b\right)} b^{2} d p \log\left(\frac{a x + b}{x}\right)}{x}}{{\left(a^{2} d^{3} - 2 \, a b d^{2} e - \frac{{\left(a x + b\right)} a d^{3}}{x} + b^{2} d e^{2} + \frac{{\left(a x + b\right)} b d^{2} e}{x}\right)} b}"," ",0,"-(a*b^2*d*p*log(-a*d + b*e + (a*x + b)*d/x) - b^3*p*e*log(-a*d + b*e + (a*x + b)*d/x) - (a*x + b)*b^2*d*p*log(-a*d + b*e + (a*x + b)*d/x)/x + a*b^2*d*log(c) - b^3*e*log(c) + (a*x + b)*b^2*d*p*log((a*x + b)/x)/x)/((a^2*d^3 - 2*a*b*d^2*e - (a*x + b)*a*d^3/x + b^2*d*e^2 + (a*x + b)*b*d^2*e/x)*b)","B",0
203,1,805,0,0.239954," ","integrate(log(c*(a+b/x)^p)/(e*x+d)^3,x, algorithm=""giac"")","-\frac{2 \, a^{3} b^{2} d^{3} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - 5 \, a^{2} b^{3} d^{2} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - a^{2} b^{3} d^{2} p e - \frac{4 \, {\left(a x + b\right)} a^{2} b^{2} d^{3} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + 4 \, a b^{4} d p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) + \frac{6 \, {\left(a x + b\right)} a b^{3} d^{2} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + 2 \, a^{3} b^{2} d^{3} \log\left(c\right) - 5 \, a^{2} b^{3} d^{2} e \log\left(c\right) + \frac{2 \, {\left(a x + b\right)} a^{2} b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x} - \frac{2 \, {\left(a x + b\right)} a b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x} + 2 \, a b^{4} d p e^{2} + \frac{{\left(a x + b\right)} a b^{3} d^{2} p e}{x} + \frac{2 \, {\left(a x + b\right)}^{2} a b^{2} d^{3} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} - b^{5} p e^{3} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - \frac{2 \, {\left(a x + b\right)} b^{4} d p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} - \frac{{\left(a x + b\right)}^{2} b^{3} d^{2} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} - \frac{2 \, {\left(a x + b\right)} a^{2} b^{2} d^{3} \log\left(c\right)}{x} + 4 \, a b^{4} d e^{2} \log\left(c\right) + \frac{4 \, {\left(a x + b\right)} a b^{3} d^{2} e \log\left(c\right)}{x} - \frac{2 \, {\left(a x + b\right)}^{2} a b^{2} d^{3} p \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{{\left(a x + b\right)}^{2} b^{3} d^{2} p e \log\left(\frac{a x + b}{x}\right)}{x^{2}} - b^{5} p e^{3} - \frac{{\left(a x + b\right)} b^{4} d p e^{2}}{x} - b^{5} e^{3} \log\left(c\right) - \frac{2 \, {\left(a x + b\right)} b^{4} d e^{2} \log\left(c\right)}{x}}{2 \, {\left(a^{4} d^{6} - 4 \, a^{3} b d^{5} e - \frac{2 \, {\left(a x + b\right)} a^{3} d^{6}}{x} + 6 \, a^{2} b^{2} d^{4} e^{2} + \frac{6 \, {\left(a x + b\right)} a^{2} b d^{5} e}{x} + \frac{{\left(a x + b\right)}^{2} a^{2} d^{6}}{x^{2}} - 4 \, a b^{3} d^{3} e^{3} - \frac{6 \, {\left(a x + b\right)} a b^{2} d^{4} e^{2}}{x} - \frac{2 \, {\left(a x + b\right)}^{2} a b d^{5} e}{x^{2}} + b^{4} d^{2} e^{4} + \frac{2 \, {\left(a x + b\right)} b^{3} d^{3} e^{3}}{x} + \frac{{\left(a x + b\right)}^{2} b^{2} d^{4} e^{2}}{x^{2}}\right)} b}"," ",0,"-1/2*(2*a^3*b^2*d^3*p*log(-a*d + b*e + (a*x + b)*d/x) - 5*a^2*b^3*d^2*p*e*log(-a*d + b*e + (a*x + b)*d/x) - a^2*b^3*d^2*p*e - 4*(a*x + b)*a^2*b^2*d^3*p*log(-a*d + b*e + (a*x + b)*d/x)/x + 4*a*b^4*d*p*e^2*log(-a*d + b*e + (a*x + b)*d/x) + 6*(a*x + b)*a*b^3*d^2*p*e*log(-a*d + b*e + (a*x + b)*d/x)/x + 2*a^3*b^2*d^3*log(c) - 5*a^2*b^3*d^2*e*log(c) + 2*(a*x + b)*a^2*b^2*d^3*p*log((a*x + b)/x)/x - 2*(a*x + b)*a*b^3*d^2*p*e*log((a*x + b)/x)/x + 2*a*b^4*d*p*e^2 + (a*x + b)*a*b^3*d^2*p*e/x + 2*(a*x + b)^2*a*b^2*d^3*p*log(-a*d + b*e + (a*x + b)*d/x)/x^2 - b^5*p*e^3*log(-a*d + b*e + (a*x + b)*d/x) - 2*(a*x + b)*b^4*d*p*e^2*log(-a*d + b*e + (a*x + b)*d/x)/x - (a*x + b)^2*b^3*d^2*p*e*log(-a*d + b*e + (a*x + b)*d/x)/x^2 - 2*(a*x + b)*a^2*b^2*d^3*log(c)/x + 4*a*b^4*d*e^2*log(c) + 4*(a*x + b)*a*b^3*d^2*e*log(c)/x - 2*(a*x + b)^2*a*b^2*d^3*p*log((a*x + b)/x)/x^2 + (a*x + b)^2*b^3*d^2*p*e*log((a*x + b)/x)/x^2 - b^5*p*e^3 - (a*x + b)*b^4*d*p*e^2/x - b^5*e^3*log(c) - 2*(a*x + b)*b^4*d*e^2*log(c)/x)/((a^4*d^6 - 4*a^3*b*d^5*e - 2*(a*x + b)*a^3*d^6/x + 6*a^2*b^2*d^4*e^2 + 6*(a*x + b)*a^2*b*d^5*e/x + (a*x + b)^2*a^2*d^6/x^2 - 4*a*b^3*d^3*e^3 - 6*(a*x + b)*a*b^2*d^4*e^2/x - 2*(a*x + b)^2*a*b*d^5*e/x^2 + b^4*d^2*e^4 + 2*(a*x + b)*b^3*d^3*e^3/x + (a*x + b)^2*b^2*d^4*e^2/x^2)*b)","B",0
204,1,1841,0,0.319624," ","integrate(log(c*(a+b/x)^p)/(e*x+d)^4,x, algorithm=""giac"")","-\frac{6 \, a^{5} b^{2} d^{5} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - 24 \, a^{4} b^{3} d^{4} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - 6 \, a^{4} b^{3} d^{4} p e - \frac{18 \, {\left(a x + b\right)} a^{4} b^{2} d^{5} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + 38 \, a^{3} b^{4} d^{3} p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) + \frac{54 \, {\left(a x + b\right)} a^{3} b^{3} d^{4} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + 6 \, a^{5} b^{2} d^{5} \log\left(c\right) - 24 \, a^{4} b^{3} d^{4} e \log\left(c\right) + \frac{6 \, {\left(a x + b\right)} a^{4} b^{2} d^{5} p \log\left(\frac{a x + b}{x}\right)}{x} - \frac{12 \, {\left(a x + b\right)} a^{3} b^{3} d^{4} p e \log\left(\frac{a x + b}{x}\right)}{x} + 21 \, a^{3} b^{4} d^{3} p e^{2} + \frac{12 \, {\left(a x + b\right)} a^{3} b^{3} d^{4} p e}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{5} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} - 30 \, a^{2} b^{5} d^{2} p e^{3} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - \frac{60 \, {\left(a x + b\right)} a^{2} b^{4} d^{3} p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} - \frac{36 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d^{4} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} - \frac{12 \, {\left(a x + b\right)} a^{4} b^{2} d^{5} \log\left(c\right)}{x} + 38 \, a^{3} b^{4} d^{3} e^{2} \log\left(c\right) + \frac{42 \, {\left(a x + b\right)} a^{3} b^{3} d^{4} e \log\left(c\right)}{x} - \frac{12 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{5} p \log\left(\frac{a x + b}{x}\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)} a^{2} b^{4} d^{3} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d^{4} p e \log\left(\frac{a x + b}{x}\right)}{x^{2}} - 27 \, a^{2} b^{5} d^{2} p e^{3} - \frac{31 \, {\left(a x + b\right)} a^{2} b^{4} d^{3} p e^{2}}{x} - \frac{6 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d^{4} p e}{x^{2}} - \frac{6 \, {\left(a x + b\right)}^{3} a^{2} b^{2} d^{5} p \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{3}} + 12 \, a b^{6} d p e^{4} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) + \frac{30 \, {\left(a x + b\right)} a b^{5} d^{2} p e^{3} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} + \frac{24 \, {\left(a x + b\right)}^{2} a b^{4} d^{3} p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)}^{3} a b^{3} d^{4} p e \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{3}} + \frac{6 \, {\left(a x + b\right)}^{2} a^{3} b^{2} d^{5} \log\left(c\right)}{x^{2}} - 30 \, a^{2} b^{5} d^{2} e^{3} \log\left(c\right) - \frac{54 \, {\left(a x + b\right)} a^{2} b^{4} d^{3} e^{2} \log\left(c\right)}{x} - \frac{18 \, {\left(a x + b\right)}^{2} a^{2} b^{3} d^{4} e \log\left(c\right)}{x^{2}} + \frac{6 \, {\left(a x + b\right)}^{3} a^{2} b^{2} d^{5} p \log\left(\frac{a x + b}{x}\right)}{x^{3}} - \frac{6 \, {\left(a x + b\right)}^{2} a b^{4} d^{3} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{2}} - \frac{6 \, {\left(a x + b\right)}^{3} a b^{3} d^{4} p e \log\left(\frac{a x + b}{x}\right)}{x^{3}} + 15 \, a b^{6} d p e^{4} + \frac{26 \, {\left(a x + b\right)} a b^{5} d^{2} p e^{3}}{x} + \frac{10 \, {\left(a x + b\right)}^{2} a b^{4} d^{3} p e^{2}}{x^{2}} - 2 \, b^{7} p e^{5} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right) - \frac{6 \, {\left(a x + b\right)} b^{6} d p e^{4} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x} - \frac{6 \, {\left(a x + b\right)}^{2} b^{5} d^{2} p e^{3} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{2}} - \frac{2 \, {\left(a x + b\right)}^{3} b^{4} d^{3} p e^{2} \log\left(-a d + b e + \frac{{\left(a x + b\right)} d}{x}\right)}{x^{3}} + 12 \, a b^{6} d e^{4} \log\left(c\right) + \frac{30 \, {\left(a x + b\right)} a b^{5} d^{2} e^{3} \log\left(c\right)}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a b^{4} d^{3} e^{2} \log\left(c\right)}{x^{2}} + \frac{2 \, {\left(a x + b\right)}^{3} b^{4} d^{3} p e^{2} \log\left(\frac{a x + b}{x}\right)}{x^{3}} - 3 \, b^{7} p e^{5} - \frac{7 \, {\left(a x + b\right)} b^{6} d p e^{4}}{x} - \frac{4 \, {\left(a x + b\right)}^{2} b^{5} d^{2} p e^{3}}{x^{2}} - 2 \, b^{7} e^{5} \log\left(c\right) - \frac{6 \, {\left(a x + b\right)} b^{6} d e^{4} \log\left(c\right)}{x} - \frac{6 \, {\left(a x + b\right)}^{2} b^{5} d^{2} e^{3} \log\left(c\right)}{x^{2}}}{6 \, {\left(a^{6} d^{9} - 6 \, a^{5} b d^{8} e - \frac{3 \, {\left(a x + b\right)} a^{5} d^{9}}{x} + 15 \, a^{4} b^{2} d^{7} e^{2} + \frac{15 \, {\left(a x + b\right)} a^{4} b d^{8} e}{x} + \frac{3 \, {\left(a x + b\right)}^{2} a^{4} d^{9}}{x^{2}} - 20 \, a^{3} b^{3} d^{6} e^{3} - \frac{30 \, {\left(a x + b\right)} a^{3} b^{2} d^{7} e^{2}}{x} - \frac{12 \, {\left(a x + b\right)}^{2} a^{3} b d^{8} e}{x^{2}} - \frac{{\left(a x + b\right)}^{3} a^{3} d^{9}}{x^{3}} + 15 \, a^{2} b^{4} d^{5} e^{4} + \frac{30 \, {\left(a x + b\right)} a^{2} b^{3} d^{6} e^{3}}{x} + \frac{18 \, {\left(a x + b\right)}^{2} a^{2} b^{2} d^{7} e^{2}}{x^{2}} + \frac{3 \, {\left(a x + b\right)}^{3} a^{2} b d^{8} e}{x^{3}} - 6 \, a b^{5} d^{4} e^{5} - \frac{15 \, {\left(a x + b\right)} a b^{4} d^{5} e^{4}}{x} - \frac{12 \, {\left(a x + b\right)}^{2} a b^{3} d^{6} e^{3}}{x^{2}} - \frac{3 \, {\left(a x + b\right)}^{3} a b^{2} d^{7} e^{2}}{x^{3}} + b^{6} d^{3} e^{6} + \frac{3 \, {\left(a x + b\right)} b^{5} d^{4} e^{5}}{x} + \frac{3 \, {\left(a x + b\right)}^{2} b^{4} d^{5} e^{4}}{x^{2}} + \frac{{\left(a x + b\right)}^{3} b^{3} d^{6} e^{3}}{x^{3}}\right)} b}"," ",0,"-1/6*(6*a^5*b^2*d^5*p*log(-a*d + b*e + (a*x + b)*d/x) - 24*a^4*b^3*d^4*p*e*log(-a*d + b*e + (a*x + b)*d/x) - 6*a^4*b^3*d^4*p*e - 18*(a*x + b)*a^4*b^2*d^5*p*log(-a*d + b*e + (a*x + b)*d/x)/x + 38*a^3*b^4*d^3*p*e^2*log(-a*d + b*e + (a*x + b)*d/x) + 54*(a*x + b)*a^3*b^3*d^4*p*e*log(-a*d + b*e + (a*x + b)*d/x)/x + 6*a^5*b^2*d^5*log(c) - 24*a^4*b^3*d^4*e*log(c) + 6*(a*x + b)*a^4*b^2*d^5*p*log((a*x + b)/x)/x - 12*(a*x + b)*a^3*b^3*d^4*p*e*log((a*x + b)/x)/x + 21*a^3*b^4*d^3*p*e^2 + 12*(a*x + b)*a^3*b^3*d^4*p*e/x + 18*(a*x + b)^2*a^3*b^2*d^5*p*log(-a*d + b*e + (a*x + b)*d/x)/x^2 - 30*a^2*b^5*d^2*p*e^3*log(-a*d + b*e + (a*x + b)*d/x) - 60*(a*x + b)*a^2*b^4*d^3*p*e^2*log(-a*d + b*e + (a*x + b)*d/x)/x - 36*(a*x + b)^2*a^2*b^3*d^4*p*e*log(-a*d + b*e + (a*x + b)*d/x)/x^2 - 12*(a*x + b)*a^4*b^2*d^5*log(c)/x + 38*a^3*b^4*d^3*e^2*log(c) + 42*(a*x + b)*a^3*b^3*d^4*e*log(c)/x - 12*(a*x + b)^2*a^3*b^2*d^5*p*log((a*x + b)/x)/x^2 + 6*(a*x + b)*a^2*b^4*d^3*p*e^2*log((a*x + b)/x)/x + 18*(a*x + b)^2*a^2*b^3*d^4*p*e*log((a*x + b)/x)/x^2 - 27*a^2*b^5*d^2*p*e^3 - 31*(a*x + b)*a^2*b^4*d^3*p*e^2/x - 6*(a*x + b)^2*a^2*b^3*d^4*p*e/x^2 - 6*(a*x + b)^3*a^2*b^2*d^5*p*log(-a*d + b*e + (a*x + b)*d/x)/x^3 + 12*a*b^6*d*p*e^4*log(-a*d + b*e + (a*x + b)*d/x) + 30*(a*x + b)*a*b^5*d^2*p*e^3*log(-a*d + b*e + (a*x + b)*d/x)/x + 24*(a*x + b)^2*a*b^4*d^3*p*e^2*log(-a*d + b*e + (a*x + b)*d/x)/x^2 + 6*(a*x + b)^3*a*b^3*d^4*p*e*log(-a*d + b*e + (a*x + b)*d/x)/x^3 + 6*(a*x + b)^2*a^3*b^2*d^5*log(c)/x^2 - 30*a^2*b^5*d^2*e^3*log(c) - 54*(a*x + b)*a^2*b^4*d^3*e^2*log(c)/x - 18*(a*x + b)^2*a^2*b^3*d^4*e*log(c)/x^2 + 6*(a*x + b)^3*a^2*b^2*d^5*p*log((a*x + b)/x)/x^3 - 6*(a*x + b)^2*a*b^4*d^3*p*e^2*log((a*x + b)/x)/x^2 - 6*(a*x + b)^3*a*b^3*d^4*p*e*log((a*x + b)/x)/x^3 + 15*a*b^6*d*p*e^4 + 26*(a*x + b)*a*b^5*d^2*p*e^3/x + 10*(a*x + b)^2*a*b^4*d^3*p*e^2/x^2 - 2*b^7*p*e^5*log(-a*d + b*e + (a*x + b)*d/x) - 6*(a*x + b)*b^6*d*p*e^4*log(-a*d + b*e + (a*x + b)*d/x)/x - 6*(a*x + b)^2*b^5*d^2*p*e^3*log(-a*d + b*e + (a*x + b)*d/x)/x^2 - 2*(a*x + b)^3*b^4*d^3*p*e^2*log(-a*d + b*e + (a*x + b)*d/x)/x^3 + 12*a*b^6*d*e^4*log(c) + 30*(a*x + b)*a*b^5*d^2*e^3*log(c)/x + 18*(a*x + b)^2*a*b^4*d^3*e^2*log(c)/x^2 + 2*(a*x + b)^3*b^4*d^3*p*e^2*log((a*x + b)/x)/x^3 - 3*b^7*p*e^5 - 7*(a*x + b)*b^6*d*p*e^4/x - 4*(a*x + b)^2*b^5*d^2*p*e^3/x^2 - 2*b^7*e^5*log(c) - 6*(a*x + b)*b^6*d*e^4*log(c)/x - 6*(a*x + b)^2*b^5*d^2*e^3*log(c)/x^2)/((a^6*d^9 - 6*a^5*b*d^8*e - 3*(a*x + b)*a^5*d^9/x + 15*a^4*b^2*d^7*e^2 + 15*(a*x + b)*a^4*b*d^8*e/x + 3*(a*x + b)^2*a^4*d^9/x^2 - 20*a^3*b^3*d^6*e^3 - 30*(a*x + b)*a^3*b^2*d^7*e^2/x - 12*(a*x + b)^2*a^3*b*d^8*e/x^2 - (a*x + b)^3*a^3*d^9/x^3 + 15*a^2*b^4*d^5*e^4 + 30*(a*x + b)*a^2*b^3*d^6*e^3/x + 18*(a*x + b)^2*a^2*b^2*d^7*e^2/x^2 + 3*(a*x + b)^3*a^2*b*d^8*e/x^3 - 6*a*b^5*d^4*e^5 - 15*(a*x + b)*a*b^4*d^5*e^4/x - 12*(a*x + b)^2*a*b^3*d^6*e^3/x^2 - 3*(a*x + b)^3*a*b^2*d^7*e^2/x^3 + b^6*d^3*e^6 + 3*(a*x + b)*b^5*d^4*e^5/x + 3*(a*x + b)^2*b^4*d^5*e^4/x^2 + (a*x + b)^3*b^3*d^6*e^3/x^3)*b)","B",0
205,0,0,0,0.000000," ","integrate(log(a+b/x)/(d*x+c),x, algorithm=""giac"")","\int \frac{\log\left(a + \frac{b}{x}\right)}{d x + c}\,{d x}"," ",0,"integrate(log(a + b/x)/(d*x + c), x)","F",0
206,0,0,0,0.000000," ","integrate((e*x+d)^m*log(c*(b*x^3+a)^p),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} \log\left({\left(b x^{3} + a\right)}^{p} c\right)\,{d x}"," ",0,"integrate((e*x + d)^m*log((b*x^3 + a)^p*c), x)","F",0
207,0,0,0,0.000000," ","integrate((e*x+d)^m*log(c*(b*x^2+a)^p),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} \log\left({\left(b x^{2} + a\right)}^{p} c\right)\,{d x}"," ",0,"integrate((e*x + d)^m*log((b*x^2 + a)^p*c), x)","F",0
208,0,0,0,0.000000," ","integrate((e*x+d)^m*log(c*(b*x+a)^p),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} \log\left({\left(b x + a\right)}^{p} c\right)\,{d x}"," ",0,"integrate((e*x + d)^m*log((b*x + a)^p*c), x)","F",0
209,0,0,0,0.000000," ","integrate((e*x+d)^m*log(c*(a+b/x)^p),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} \log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)\,{d x}"," ",0,"integrate((e*x + d)^m*log((a + b/x)^p*c), x)","F",0
210,0,0,0,0.000000," ","integrate((e*x+d)^m*log(c*(a+b/x^2)^p),x, algorithm=""giac"")","\int {\left(e x + d\right)}^{m} \log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)\,{d x}"," ",0,"integrate((e*x + d)^m*log((a + b/x^2)^p*c), x)","F",0
211,-2,0,0,0.000000," ","integrate((g*x+f)^m*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to check sign: (4/(sign(t_nostep)-1)/2)>(-4/(sign(t_nostep)-1)/2)Unable to check sign: (4/(sign(x)-1)/2)>(-4/(sign(x)-1)/2)Simplification assuming f near 0Unable to divide, perhaps due to rounding error%%%{-1,[0,0,6,3,6,0,2,2,0,1,0]%%%}+%%%{1,[0,0,6,2,6,1,2,2,0,0,1]%%%}+%%%{1,[0,0,6,2,6,0,2,2,0,0,1]%%%}+%%%{-6,[0,0,5,3,5,0,2,2,1,1,0]%%%}+%%%{5,[0,0,5,2,5,1,2,2,1,0,1]%%%}+%%%{5,[0,0,5,2,5,0,2,2,1,0,1]%%%}+%%%{-15,[0,0,4,3,4,0,2,2,2,1,0]%%%}+%%%{10,[0,0,4,2,4,1,2,2,2,0,1]%%%}+%%%{10,[0,0,4,2,4,0,2,2,2,0,1]%%%}+%%%{-20,[0,0,3,3,3,0,2,2,3,1,0]%%%}+%%%{10,[0,0,3,2,3,1,2,2,3,0,1]%%%}+%%%{10,[0,0,3,2,3,0,2,2,3,0,1]%%%}+%%%{-15,[0,0,2,3,2,0,2,2,4,1,0]%%%}+%%%{5,[0,0,2,2,2,1,2,2,4,0,1]%%%}+%%%{5,[0,0,2,2,2,0,2,2,4,0,1]%%%}+%%%{-6,[0,0,1,3,1,0,2,2,5,1,0]%%%}+%%%{1,[0,0,1,2,1,1,2,2,5,0,1]%%%}+%%%{1,[0,0,1,2,1,0,2,2,5,0,1]%%%}+%%%{-1,[0,0,0,3,0,0,2,2,6,1,0]%%%} / %%%{1,[0,0,6,2,5,0,1,2,0,0,0]%%%}+%%%{5,[0,0,5,2,4,0,1,2,1,0,0]%%%}+%%%{10,[0,0,4,2,3,0,1,2,2,0,0]%%%}+%%%{10,[0,0,3,2,2,0,1,2,3,0,0]%%%}+%%%{5,[0,0,2,2,1,0,1,2,4,0,0]%%%}+%%%{1,[0,0,1,2,0,0,1,2,5,0,0]%%%} Error: Bad Argument Value","F(-2)",0
212,0,0,0,0.000000," ","integrate((g*x+f)^3*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{3} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((g*x + f)^3*log((e*x^n + d)^p*c), x)","F",0
213,0,0,0,0.000000," ","integrate((g*x+f)^2*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int {\left(g x + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((g*x + f)^2*log((e*x^n + d)^p*c), x)","F",0
214,0,0,0,0.000000," ","integrate((g*x+f)*log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int {\left(g x + f\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate((g*x + f)*log((e*x^n + d)^p*c), x)","F",0
215,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p),x, algorithm=""giac"")","\int \log\left({\left(e x^{n} + d\right)}^{p} c\right)\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c), x)","F",0
216,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/(g*x+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{g x + f}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/(g*x + f), x)","F",0
217,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/(g*x+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/(g*x + f)^2, x)","F",0
218,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/(g*x+f)^3,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x + f\right)}^{3}}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/(g*x + f)^3, x)","F",0
219,0,0,0,0.000000," ","integrate(x^3*log(c*(b*x+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(b x + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^3*log((b*x + a)^p*c)/(e*x + d), x)","F",0
220,0,0,0,0.000000," ","integrate(x^2*log(c*(b*x+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(b x + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((b*x + a)^p*c)/(e*x + d), x)","F",0
221,0,0,0,0.000000," ","integrate(x*log(c*(b*x+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(b x + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((b*x + a)^p*c)/(e*x + d), x)","F",0
222,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x + a)^p*c)/(e*x + d), x)","F",0
223,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((b*x + a)^p*c)/((e*x + d)*x), x)","F",0
224,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((b*x + a)^p*c)/((e*x + d)*x^2), x)","F",0
225,0,0,0,0.000000," ","integrate(log(c*(b*x+a)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((b*x + a)^p*c)/((e*x + d)*x^3), x)","F",0
226,0,0,0,0.000000," ","integrate(x^3*log(c*(b*x^2+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(b x^{2} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^3*log((b*x^2 + a)^p*c)/(e*x + d), x)","F",0
227,0,0,0,0.000000," ","integrate(x^2*log(c*(b*x^2+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(b x^{2} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((b*x^2 + a)^p*c)/(e*x + d), x)","F",0
228,0,0,0,0.000000," ","integrate(x*log(c*(b*x^2+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(b x^{2} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((b*x^2 + a)^p*c)/(e*x + d), x)","F",0
229,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/(e*x + d), x)","F",0
230,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/((e*x + d)*x), x)","F",0
231,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/((e*x + d)*x^2), x)","F",0
232,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^p*c)/((e*x + d)*x^3), x)","F",0
233,0,0,0,0.000000," ","integrate(x^3*log(c*(b*x^3+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(b x^{3} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^3*log((b*x^3 + a)^p*c)/(e*x + d), x)","F",0
234,0,0,0,0.000000," ","integrate(x^2*log(c*(b*x^3+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(b x^{3} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((b*x^3 + a)^p*c)/(e*x + d), x)","F",0
235,0,0,0,0.000000," ","integrate(x*log(c*(b*x^3+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(b x^{3} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((b*x^3 + a)^p*c)/(e*x + d), x)","F",0
236,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/(e*x + d), x)","F",0
237,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/((e*x + d)*x), x)","F",0
238,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/((e*x + d)*x^2), x)","F",0
239,0,0,0,0.000000," ","integrate(log(c*(b*x^3+a)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{3} + a\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((b*x^3 + a)^p*c)/((e*x + d)*x^3), x)","F",0
240,0,0,0,0.000000," ","integrate(x^3*log(c*(a+b/x)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^3*log((a + b/x)^p*c)/(e*x + d), x)","F",0
241,0,0,0,0.000000," ","integrate(x^2*log(c*(a+b/x)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((a + b/x)^p*c)/(e*x + d), x)","F",0
242,0,0,0,0.000000," ","integrate(x*log(c*(a+b/x)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((a + b/x)^p*c)/(e*x + d), x)","F",0
243,0,0,0,0.000000," ","integrate(log(c*(a+b/x)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((a + b/x)^p*c)/(e*x + d), x)","F",0
244,0,0,0,0.000000," ","integrate(log(c*(a+b/x)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((a + b/x)^p*c)/((e*x + d)*x), x)","F",0
245,0,0,0,0.000000," ","integrate(log(c*(a+b/x)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((a + b/x)^p*c)/((e*x + d)*x^2), x)","F",0
246,0,0,0,0.000000," ","integrate(log(c*(a+b/x)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((a + b/x)^p*c)/((e*x + d)*x^3), x)","F",0
247,-2,0,0,0.000000," ","integrate(x^3*log(c*(a+b/x^2)^p)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Simplification assuming a near 0Simplification assuming d near 0Evaluation time: 0.75Not invertible Error: Bad Argument Value","F(-2)",0
248,0,0,0,0.000000," ","integrate(x^2*log(c*(a+b/x^2)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((a + b/x^2)^p*c)/(e*x + d), x)","F",0
249,0,0,0,0.000000," ","integrate(x*log(c*(a+b/x^2)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((a + b/x^2)^p*c)/(e*x + d), x)","F",0
250,0,0,0,0.000000," ","integrate(log(c*(a+b/x^2)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((a + b/x^2)^p*c)/(e*x + d), x)","F",0
251,0,0,0,0.000000," ","integrate(log(c*(a+b/x^2)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((a + b/x^2)^p*c)/((e*x + d)*x), x)","F",0
252,0,0,0,0.000000," ","integrate(log(c*(a+b/x^2)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((a + b/x^2)^p*c)/((e*x + d)*x^2), x)","F",0
253,0,0,0,0.000000," ","integrate(log(c*(a+b/x^2)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{2}}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((a + b/x^2)^p*c)/((e*x + d)*x^3), x)","F",0
254,-2,0,0,0.000000," ","integrate(x^3*log(c*(a+b/x^3)^p)/(e*x+d),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Simplification assuming a near 0Simplification assuming d near 0Evaluation time: 0.86Not invertible Error: Bad Argument Value","F(-2)",0
255,0,0,0,0.000000," ","integrate(x^2*log(c*(a+b/x^3)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x^2*log((a + b/x^3)^p*c)/(e*x + d), x)","F",0
256,0,0,0,0.000000," ","integrate(x*log(c*(a+b/x^3)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{x \log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(x*log((a + b/x^3)^p*c)/(e*x + d), x)","F",0
257,0,0,0,0.000000," ","integrate(log(c*(a+b/x^3)^p)/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{e x + d}\,{d x}"," ",0,"integrate(log((a + b/x^3)^p*c)/(e*x + d), x)","F",0
258,0,0,0,0.000000," ","integrate(log(c*(a+b/x^3)^p)/x/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{{\left(e x + d\right)} x}\,{d x}"," ",0,"integrate(log((a + b/x^3)^p*c)/((e*x + d)*x), x)","F",0
259,0,0,0,0.000000," ","integrate(log(c*(a+b/x^3)^p)/x^2/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{2}}\,{d x}"," ",0,"integrate(log((a + b/x^3)^p*c)/((e*x + d)*x^2), x)","F",0
260,0,0,0,0.000000," ","integrate(log(c*(a+b/x^3)^p)/x^3/(e*x+d),x, algorithm=""giac"")","\int \frac{\log\left({\left(a + \frac{b}{x^{3}}\right)}^{p} c\right)}{{\left(e x + d\right)} x^{3}}\,{d x}"," ",0,"integrate(log((a + b/x^3)^p*c)/((e*x + d)*x^3), x)","F",0
261,0,0,0,0.000000," ","integrate(log(c*(e*x^3+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{3} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^3 + d)^p*c)/(g*x^2 + f), x)","F",0
262,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
263,0,0,0,0.000000," ","integrate(log(c*(e*x+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x + d)^p*c)/(g*x^2 + f), x)","F",0
264,0,0,0,0.000000," ","integrate(log(c*(d+e/x)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left(c {\left(d + \frac{e}{x}\right)}^{p}\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log(c*(d + e/x)^p)/(g*x^2 + f), x)","F",0
265,0,0,0,0.000000," ","integrate(log(c*(d+e/x^2)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left(c {\left(d + \frac{e}{x^{2}}\right)}^{p}\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log(c*(d + e/x^2)^p)/(g*x^2 + f), x)","F",0
266,0,0,0,0.000000," ","integrate(log(c*(d+e*x^(1/2))^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e \sqrt{x} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*sqrt(x) + d)^p*c)/(g*x^2 + f), x)","F",0
267,0,0,0,0.000000," ","integrate(log(c*(d+e/x^(1/2))^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{p}\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log(c*(d + e/sqrt(x))^p)/(g*x^2 + f), x)","F",0
268,1,309,0,0.205039," ","integrate((g*x^2+f)^3*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, d^{4} g^{3} p - 21 \, d^{3} f g^{2} p e + 35 \, d^{2} f^{2} g p e^{2} - 35 \, d f^{3} p e^{3}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{7}{2}\right)}}{35 \, \sqrt{d}} + \frac{1}{3675} \, {\left(525 \, g^{3} p x^{7} e^{3} \log\left(x^{2} e + d\right) - 150 \, g^{3} p x^{7} e^{3} + 525 \, g^{3} x^{7} e^{3} \log\left(c\right) + 210 \, d g^{3} p x^{5} e^{2} + 2205 \, f g^{2} p x^{5} e^{3} \log\left(x^{2} e + d\right) - 882 \, f g^{2} p x^{5} e^{3} - 350 \, d^{2} g^{3} p x^{3} e + 2205 \, f g^{2} x^{5} e^{3} \log\left(c\right) + 1470 \, d f g^{2} p x^{3} e^{2} + 3675 \, f^{2} g p x^{3} e^{3} \log\left(x^{2} e + d\right) + 1050 \, d^{3} g^{3} p x - 2450 \, f^{2} g p x^{3} e^{3} - 4410 \, d^{2} f g^{2} p x e + 3675 \, f^{2} g x^{3} e^{3} \log\left(c\right) + 7350 \, d f^{2} g p x e^{2} + 3675 \, f^{3} p x e^{3} \log\left(x^{2} e + d\right) - 7350 \, f^{3} p x e^{3} + 3675 \, f^{3} x e^{3} \log\left(c\right)\right)} e^{\left(-3\right)}"," ",0,"-2/35*(5*d^4*g^3*p - 21*d^3*f*g^2*p*e + 35*d^2*f^2*g*p*e^2 - 35*d*f^3*p*e^3)*arctan(x*e^(1/2)/sqrt(d))*e^(-7/2)/sqrt(d) + 1/3675*(525*g^3*p*x^7*e^3*log(x^2*e + d) - 150*g^3*p*x^7*e^3 + 525*g^3*x^7*e^3*log(c) + 210*d*g^3*p*x^5*e^2 + 2205*f*g^2*p*x^5*e^3*log(x^2*e + d) - 882*f*g^2*p*x^5*e^3 - 350*d^2*g^3*p*x^3*e + 2205*f*g^2*x^5*e^3*log(c) + 1470*d*f*g^2*p*x^3*e^2 + 3675*f^2*g*p*x^3*e^3*log(x^2*e + d) + 1050*d^3*g^3*p*x - 2450*f^2*g*p*x^3*e^3 - 4410*d^2*f*g^2*p*x*e + 3675*f^2*g*x^3*e^3*log(c) + 7350*d*f^2*g*p*x*e^2 + 3675*f^3*p*x*e^3*log(x^2*e + d) - 7350*f^3*p*x*e^3 + 3675*f^3*x*e^3*log(c))*e^(-3)","A",0
269,1,201,0,0.194030," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, d^{3} g^{2} p - 10 \, d^{2} f g p e + 15 \, d f^{2} p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{5}{2}\right)}}{15 \, \sqrt{d}} + \frac{1}{225} \, {\left(45 \, g^{2} p x^{5} e^{2} \log\left(x^{2} e + d\right) - 18 \, g^{2} p x^{5} e^{2} + 45 \, g^{2} x^{5} e^{2} \log\left(c\right) + 30 \, d g^{2} p x^{3} e + 150 \, f g p x^{3} e^{2} \log\left(x^{2} e + d\right) - 100 \, f g p x^{3} e^{2} + 150 \, f g x^{3} e^{2} \log\left(c\right) - 90 \, d^{2} g^{2} p x + 300 \, d f g p x e + 225 \, f^{2} p x e^{2} \log\left(x^{2} e + d\right) - 450 \, f^{2} p x e^{2} + 225 \, f^{2} x e^{2} \log\left(c\right)\right)} e^{\left(-2\right)}"," ",0,"2/15*(3*d^3*g^2*p - 10*d^2*f*g*p*e + 15*d*f^2*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-5/2)/sqrt(d) + 1/225*(45*g^2*p*x^5*e^2*log(x^2*e + d) - 18*g^2*p*x^5*e^2 + 45*g^2*x^5*e^2*log(c) + 30*d*g^2*p*x^3*e + 150*f*g*p*x^3*e^2*log(x^2*e + d) - 100*f*g*p*x^3*e^2 + 150*f*g*x^3*e^2*log(c) - 90*d^2*g^2*p*x + 300*d*f*g*p*x*e + 225*f^2*p*x*e^2*log(x^2*e + d) - 450*f^2*p*x*e^2 + 225*f^2*x*e^2*log(c))*e^(-2)","A",0
270,1,109,0,0.176656," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{2 \, {\left(d^{2} g p - 3 \, d f p e\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{3}{2}\right)}}{3 \, \sqrt{d}} + \frac{1}{9} \, {\left(3 \, g p x^{3} e \log\left(x^{2} e + d\right) - 2 \, g p x^{3} e + 3 \, g x^{3} e \log\left(c\right) + 9 \, f p x e \log\left(x^{2} e + d\right) + 6 \, d g p x - 18 \, f p x e + 9 \, f x e \log\left(c\right)\right)} e^{\left(-1\right)}"," ",0,"-2/3*(d^2*g*p - 3*d*f*p*e)*arctan(x*e^(1/2)/sqrt(d))*e^(-3/2)/sqrt(d) + 1/9*(3*g*p*x^3*e*log(x^2*e + d) - 2*g*p*x^3*e + 3*g*x^3*e*log(c) + 9*f*p*x*e*log(x^2*e + d) + 6*d*g*p*x - 18*f*p*x*e + 9*f*x*e*log(c))*e^(-1)","A",0
271,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
272,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
273,0,0,0,0.000000," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int {\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((g*x^2 + f)^2*log((e*x^2 + d)^p*c)^2, x)","F",0
274,0,0,0,0.000000," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int {\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((g*x^2 + f)*log((e*x^2 + d)^p*c)^2, x)","F",0
275,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^2/(g*x^2 + f), x)","F",0
276,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^2/(g*x^2 + f)^2, x)","F",0
277,0,0,0,0.000000," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)^3,x, algorithm=""giac"")","\int {\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate((g*x^2 + f)*log((e*x^2 + d)^p*c)^3, x)","F",0
278,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^3/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^3/(g*x^2 + f), x)","F",0
279,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^3/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^3/(g*x^2 + f)^2, x)","F",0
280,0,0,0,0.000000," ","integrate((g*x^2+f)^2/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)}^{2}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate((g*x^2 + f)^2/log((e*x^2 + d)^p*c), x)","F",0
281,0,0,0,0.000000," ","integrate((g*x^2+f)/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{g x^{2} + f}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate((g*x^2 + f)/log((e*x^2 + d)^p*c), x)","F",0
282,0,0,0,0.000000," ","integrate(1/(g*x^2+f)/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/((g*x^2 + f)*log((e*x^2 + d)^p*c)), x)","F",0
283,0,0,0,0.000000," ","integrate(1/(g*x^2+f)^2/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/((g*x^2 + f)^2*log((e*x^2 + d)^p*c)), x)","F",0
284,0,0,0,0.000000," ","integrate((g*x^2+f)^2/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)}^{2}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate((g*x^2 + f)^2/log((e*x^2 + d)^p*c)^2, x)","F",0
285,0,0,0,0.000000," ","integrate((g*x^2+f)/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{g x^{2} + f}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate((g*x^2 + f)/log((e*x^2 + d)^p*c)^2, x)","F",0
286,0,0,0,0.000000," ","integrate(1/(g*x^2+f)/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/((g*x^2 + f)*log((e*x^2 + d)^p*c)^2), x)","F",0
287,0,0,0,0.000000," ","integrate(1/(g*x^2+f)^2/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/((g*x^2 + f)^2*log((e*x^2 + d)^p*c)^2), x)","F",0
288,1,354,0,0.227064," ","integrate((g*x^3+f)^3*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{20} \, {\left(2 \, d^{5} g^{3} p - 15 \, d^{2} f^{2} g p e^{3}\right)} e^{\left(-5\right)} \log\left(x^{2} e + d\right) - \frac{2 \, {\left(3 \, d^{4} f g^{2} p - 7 \, d f^{3} p e^{3}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{7}{2}\right)}}{7 \, \sqrt{d}} + \frac{1}{29400} \, {\left(2940 \, g^{3} p x^{10} e^{4} \log\left(x^{2} e + d\right) - 588 \, g^{3} p x^{10} e^{4} + 2940 \, g^{3} x^{10} e^{4} \log\left(c\right) + 735 \, d g^{3} p x^{8} e^{3} - 980 \, d^{2} g^{3} p x^{6} e^{2} + 12600 \, f g^{2} p x^{7} e^{4} \log\left(x^{2} e + d\right) - 3600 \, f g^{2} p x^{7} e^{4} + 1470 \, d^{3} g^{3} p x^{4} e + 12600 \, f g^{2} x^{7} e^{4} \log\left(c\right) + 5040 \, d f g^{2} p x^{5} e^{3} - 2940 \, d^{4} g^{3} p x^{2} - 8400 \, d^{2} f g^{2} p x^{3} e^{2} + 22050 \, f^{2} g p x^{4} e^{4} \log\left(x^{2} e + d\right) - 11025 \, f^{2} g p x^{4} e^{4} + 25200 \, d^{3} f g^{2} p x e + 22050 \, f^{2} g x^{4} e^{4} \log\left(c\right) + 22050 \, d f^{2} g p x^{2} e^{3} + 29400 \, f^{3} p x e^{4} \log\left(x^{2} e + d\right) - 58800 \, f^{3} p x e^{4} + 29400 \, f^{3} x e^{4} \log\left(c\right)\right)} e^{\left(-4\right)}"," ",0,"1/20*(2*d^5*g^3*p - 15*d^2*f^2*g*p*e^3)*e^(-5)*log(x^2*e + d) - 2/7*(3*d^4*f*g^2*p - 7*d*f^3*p*e^3)*arctan(x*e^(1/2)/sqrt(d))*e^(-7/2)/sqrt(d) + 1/29400*(2940*g^3*p*x^10*e^4*log(x^2*e + d) - 588*g^3*p*x^10*e^4 + 2940*g^3*x^10*e^4*log(c) + 735*d*g^3*p*x^8*e^3 - 980*d^2*g^3*p*x^6*e^2 + 12600*f*g^2*p*x^7*e^4*log(x^2*e + d) - 3600*f*g^2*p*x^7*e^4 + 1470*d^3*g^3*p*x^4*e + 12600*f*g^2*x^7*e^4*log(c) + 5040*d*f*g^2*p*x^5*e^3 - 2940*d^4*g^3*p*x^2 - 8400*d^2*f*g^2*p*x^3*e^2 + 22050*f^2*g*p*x^4*e^4*log(x^2*e + d) - 11025*f^2*g*p*x^4*e^4 + 25200*d^3*f*g^2*p*x*e + 22050*f^2*g*x^4*e^4*log(c) + 22050*d*f^2*g*p*x^2*e^3 + 29400*f^3*p*x*e^4*log(x^2*e + d) - 58800*f^3*p*x*e^4 + 29400*f^3*x*e^4*log(c))*e^(-4)","A",0
289,1,225,0,0.246992," ","integrate((g*x^3+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{1}{2} \, d^{2} f g p e^{\left(-2\right)} \log\left(x^{2} e + d\right) - \frac{2 \, {\left(d^{4} g^{2} p - 7 \, d f^{2} p e^{3}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{7}{2}\right)}}{7 \, \sqrt{d}} + \frac{1}{2940} \, {\left(420 \, g^{2} p x^{7} e^{3} \log\left(x^{2} e + d\right) - 120 \, g^{2} p x^{7} e^{3} + 420 \, g^{2} x^{7} e^{3} \log\left(c\right) + 168 \, d g^{2} p x^{5} e^{2} - 280 \, d^{2} g^{2} p x^{3} e + 1470 \, f g p x^{4} e^{3} \log\left(x^{2} e + d\right) - 735 \, f g p x^{4} e^{3} + 1470 \, f g x^{4} e^{3} \log\left(c\right) + 840 \, d^{3} g^{2} p x + 1470 \, d f g p x^{2} e^{2} + 2940 \, f^{2} p x e^{3} \log\left(x^{2} e + d\right) - 5880 \, f^{2} p x e^{3} + 2940 \, f^{2} x e^{3} \log\left(c\right)\right)} e^{\left(-3\right)}"," ",0,"-1/2*d^2*f*g*p*e^(-2)*log(x^2*e + d) - 2/7*(d^4*g^2*p - 7*d*f^2*p*e^3)*arctan(x*e^(1/2)/sqrt(d))*e^(-7/2)/sqrt(d) + 1/2940*(420*g^2*p*x^7*e^3*log(x^2*e + d) - 120*g^2*p*x^7*e^3 + 420*g^2*x^7*e^3*log(c) + 168*d*g^2*p*x^5*e^2 - 280*d^2*g^2*p*x^3*e + 1470*f*g*p*x^4*e^3*log(x^2*e + d) - 735*f*g*p*x^4*e^3 + 1470*f*g*x^4*e^3*log(c) + 840*d^3*g^2*p*x + 1470*d*f*g*p*x^2*e^2 + 2940*f^2*p*x*e^3*log(x^2*e + d) - 5880*f^2*p*x*e^3 + 2940*f^2*x*e^3*log(c))*e^(-3)","A",0
290,1,117,0,0.192591," ","integrate((g*x^3+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{1}{4} \, d^{2} g p e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 2 \, \sqrt{d} f p \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)} + \frac{1}{8} \, {\left(2 \, g p x^{4} e \log\left(x^{2} e + d\right) - g p x^{4} e + 2 \, g x^{4} e \log\left(c\right) + 2 \, d g p x^{2} + 8 \, f p x e \log\left(x^{2} e + d\right) - 16 \, f p x e + 8 \, f x e \log\left(c\right)\right)} e^{\left(-1\right)}"," ",0,"-1/4*d^2*g*p*e^(-2)*log(x^2*e + d) + 2*sqrt(d)*f*p*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2) + 1/8*(2*g*p*x^4*e*log(x^2*e + d) - g*p*x^4*e + 2*g*x^4*e*log(c) + 2*d*g*p*x^2 + 8*f*p*x*e*log(x^2*e + d) - 16*f*p*x*e + 8*f*x*e*log(c))*e^(-1)","A",0
291,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^3+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{3} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^3 + f), x)","F",0
292,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^3+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{3} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^3 + f)^2, x)","F",0
293,0,0,0,0.000000," ","integrate((g*x^3+f)^3*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int {\left(g x^{3} + f\right)}^{3} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((g*x^3 + f)^3*log((e*x^2 + d)^p*c)^2, x)","F",0
294,0,0,0,0.000000," ","integrate((g*x^3+f)^2*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int {\left(g x^{3} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((g*x^3 + f)^2*log((e*x^2 + d)^p*c)^2, x)","F",0
295,0,0,0,0.000000," ","integrate((g*x^3+f)*log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int {\left(g x^{3} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}\,{d x}"," ",0,"integrate((g*x^3 + f)*log((e*x^2 + d)^p*c)^2, x)","F",0
296,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^2/(g*x^3+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}{g x^{3} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^2/(g*x^3 + f), x)","F",0
297,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^2/(g*x^3+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}{{\left(g x^{3} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^2/(g*x^3 + f)^2, x)","F",0
298,0,0,0,0.000000," ","integrate((g*x^3+f)^2*log(c*(e*x^2+d)^p)^3,x, algorithm=""giac"")","\int {\left(g x^{3} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate((g*x^3 + f)^2*log((e*x^2 + d)^p*c)^3, x)","F",0
299,0,0,0,0.000000," ","integrate((g*x^3+f)*log(c*(e*x^2+d)^p)^3,x, algorithm=""giac"")","\int {\left(g x^{3} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}\,{d x}"," ",0,"integrate((g*x^3 + f)*log((e*x^2 + d)^p*c)^3, x)","F",0
300,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^3/(g*x^3+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}}{g x^{3} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^3/(g*x^3 + f), x)","F",0
301,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)^3/(g*x^3+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{3}}{{\left(g x^{3} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)^3/(g*x^3 + f)^2, x)","F",0
302,0,0,0,0.000000," ","integrate((g*x^3+f)^2/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{{\left(g x^{3} + f\right)}^{2}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate((g*x^3 + f)^2/log((e*x^2 + d)^p*c), x)","F",0
303,0,0,0,0.000000," ","integrate((g*x^3+f)/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{g x^{3} + f}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate((g*x^3 + f)/log((e*x^2 + d)^p*c), x)","F",0
304,0,0,0,0.000000," ","integrate(1/(g*x^3+f)/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{3} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/((g*x^3 + f)*log((e*x^2 + d)^p*c)), x)","F",0
305,0,0,0,0.000000," ","integrate(1/(g*x^3+f)^2/log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{3} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}\,{d x}"," ",0,"integrate(1/((g*x^3 + f)^2*log((e*x^2 + d)^p*c)), x)","F",0
306,0,0,0,0.000000," ","integrate((g*x^3+f)^2/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{{\left(g x^{3} + f\right)}^{2}}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate((g*x^3 + f)^2/log((e*x^2 + d)^p*c)^2, x)","F",0
307,0,0,0,0.000000," ","integrate((g*x^3+f)/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{g x^{3} + f}{\log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate((g*x^3 + f)/log((e*x^2 + d)^p*c)^2, x)","F",0
308,0,0,0,0.000000," ","integrate(1/(g*x^3+f)/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{3} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/((g*x^3 + f)*log((e*x^2 + d)^p*c)^2), x)","F",0
309,0,0,0,0.000000," ","integrate(1/(g*x^3+f)^2/log(c*(e*x^2+d)^p)^2,x, algorithm=""giac"")","\int \frac{1}{{\left(g x^{3} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)^{2}}\,{d x}"," ",0,"integrate(1/((g*x^3 + f)^2*log((e*x^2 + d)^p*c)^2), x)","F",0
310,1,308,0,0.189299," ","integrate(x^5*(g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{288} \, {\left(36 \, g x^{8} e \log\left(c\right) + 48 \, f x^{6} e \log\left(c\right) + 8 \, {\left(6 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)}\right)} f p + 3 \, {\left(12 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(x^{2} e + d\right) + 72 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 3 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)}\right)} g p\right)} e^{\left(-1\right)}"," ",0,"1/288*(36*g*x^8*e*log(c) + 48*f*x^6*e*log(c) + 8*(6*(x^2*e + d)^3*e^(-2)*log(x^2*e + d) - 18*(x^2*e + d)^2*d*e^(-2)*log(x^2*e + d) + 18*(x^2*e + d)*d^2*e^(-2)*log(x^2*e + d) - 2*(x^2*e + d)^3*e^(-2) + 9*(x^2*e + d)^2*d*e^(-2) - 18*(x^2*e + d)*d^2*e^(-2))*f*p + 3*(12*(x^2*e + d)^4*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)^3*d*e^(-3)*log(x^2*e + d) + 72*(x^2*e + d)^2*d^2*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)*d^3*e^(-3)*log(x^2*e + d) - 3*(x^2*e + d)^4*e^(-3) + 16*(x^2*e + d)^3*d*e^(-3) - 36*(x^2*e + d)^2*d^2*e^(-3) + 48*(x^2*e + d)*d^3*e^(-3))*g*p)*e^(-1)","B",0
311,1,235,0,0.226613," ","integrate(x^3*(g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{72} \, {\left(12 \, g x^{6} e \log\left(c\right) + 9 \, {\left(2 \, {\left(x^{2} e + d\right)}^{2} \log\left(x^{2} e + d\right) - 4 \, {\left(x^{2} e + d\right)} d \log\left(x^{2} e + d\right) - {\left(x^{2} e + d\right)}^{2} + 4 \, {\left(x^{2} e + d\right)} d\right)} f p e^{\left(-1\right)} + 18 \, {\left({\left(x^{2} e + d\right)}^{2} - 2 \, {\left(x^{2} e + d\right)} d\right)} f e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left(6 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)}\right)} g p\right)} e^{\left(-1\right)}"," ",0,"1/72*(12*g*x^6*e*log(c) + 9*(2*(x^2*e + d)^2*log(x^2*e + d) - 4*(x^2*e + d)*d*log(x^2*e + d) - (x^2*e + d)^2 + 4*(x^2*e + d)*d)*f*p*e^(-1) + 18*((x^2*e + d)^2 - 2*(x^2*e + d)*d)*f*e^(-1)*log(c) + 2*(6*(x^2*e + d)^3*e^(-2)*log(x^2*e + d) - 18*(x^2*e + d)^2*d*e^(-2)*log(x^2*e + d) + 18*(x^2*e + d)*d^2*e^(-2)*log(x^2*e + d) - 2*(x^2*e + d)^3*e^(-2) + 9*(x^2*e + d)^2*d*e^(-2) - 18*(x^2*e + d)*d^2*e^(-2))*g*p)*e^(-1)","B",0
312,1,148,0,0.165805," ","integrate(x*(g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{8} \, {\left({\left(2 \, {\left(x^{2} e + d\right)}^{2} \log\left(x^{2} e + d\right) - 4 \, {\left(x^{2} e + d\right)} d \log\left(x^{2} e + d\right) - {\left(x^{2} e + d\right)}^{2} + 4 \, {\left(x^{2} e + d\right)} d\right)} g p e^{\left(-1\right)} + 2 \, {\left({\left(x^{2} e + d\right)}^{2} - 2 \, {\left(x^{2} e + d\right)} d\right)} g e^{\left(-1\right)} \log\left(c\right) - 4 \, {\left(x^{2} e - {\left(x^{2} e + d\right)} \log\left(x^{2} e + d\right) + d\right)} f p + 4 \, {\left(x^{2} e + d\right)} f \log\left(c\right)\right)} e^{\left(-1\right)}"," ",0,"1/8*((2*(x^2*e + d)^2*log(x^2*e + d) - 4*(x^2*e + d)*d*log(x^2*e + d) - (x^2*e + d)^2 + 4*(x^2*e + d)*d)*g*p*e^(-1) + 2*((x^2*e + d)^2 - 2*(x^2*e + d)*d)*g*e^(-1)*log(c) - 4*(x^2*e - (x^2*e + d)*log(x^2*e + d) + d)*f*p + 4*(x^2*e + d)*f*log(c))*e^(-1)","A",0
313,0,0,0,0.000000," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^2 + f)*log((e*x^2 + d)^p*c)/x, x)","F",0
314,0,0,0,0.000000," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^3,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{x^{3}}\,{d x}"," ",0,"integrate((g*x^2 + f)*log((e*x^2 + d)^p*c)/x^3, x)","F",0
315,1,322,0,0.203498," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^5,x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x^{2} e + d\right)}^{2} d g p e^{2} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)} d^{2} g p e^{2} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{2} d g p e^{2} \log\left(x^{2} e\right) + 4 \, {\left(x^{2} e + d\right)} d^{2} g p e^{2} \log\left(x^{2} e\right) - 2 \, d^{3} g p e^{2} \log\left(x^{2} e\right) - {\left(x^{2} e + d\right)}^{2} f p e^{3} \log\left(x^{2} e + d\right) + 2 \, {\left(x^{2} e + d\right)} d f p e^{3} \log\left(x^{2} e + d\right) + {\left(x^{2} e + d\right)}^{2} f p e^{3} \log\left(x^{2} e\right) - 2 \, {\left(x^{2} e + d\right)} d f p e^{3} \log\left(x^{2} e\right) + d^{2} f p e^{3} \log\left(x^{2} e\right) + 2 \, {\left(x^{2} e + d\right)} d^{2} g e^{2} \log\left(c\right) - 2 \, d^{3} g e^{2} \log\left(c\right) + {\left(x^{2} e + d\right)} d f p e^{3} - d^{2} f p e^{3} + d^{2} f e^{3} \log\left(c\right)\right)} e^{\left(-1\right)}}{4 \, {\left({\left(x^{2} e + d\right)}^{2} d^{2} - 2 \, {\left(x^{2} e + d\right)} d^{3} + d^{4}\right)}}"," ",0,"-1/4*(2*(x^2*e + d)^2*d*g*p*e^2*log(x^2*e + d) - 2*(x^2*e + d)*d^2*g*p*e^2*log(x^2*e + d) - 2*(x^2*e + d)^2*d*g*p*e^2*log(x^2*e) + 4*(x^2*e + d)*d^2*g*p*e^2*log(x^2*e) - 2*d^3*g*p*e^2*log(x^2*e) - (x^2*e + d)^2*f*p*e^3*log(x^2*e + d) + 2*(x^2*e + d)*d*f*p*e^3*log(x^2*e + d) + (x^2*e + d)^2*f*p*e^3*log(x^2*e) - 2*(x^2*e + d)*d*f*p*e^3*log(x^2*e) + d^2*f*p*e^3*log(x^2*e) + 2*(x^2*e + d)*d^2*g*e^2*log(c) - 2*d^3*g*e^2*log(c) + (x^2*e + d)*d*f*p*e^3 - d^2*f*p*e^3 + d^2*f*e^3*log(c))*e^(-1)/((x^2*e + d)^2*d^2 - 2*(x^2*e + d)*d^3 + d^4)","B",0
316,1,515,0,0.239646," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^7,x, algorithm=""giac"")","\frac{{\left(3 \, {\left(x^{2} e + d\right)}^{3} d g p e^{3} \log\left(x^{2} e + d\right) - 9 \, {\left(x^{2} e + d\right)}^{2} d^{2} g p e^{3} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)} d^{3} g p e^{3} \log\left(x^{2} e + d\right) - 3 \, {\left(x^{2} e + d\right)}^{3} d g p e^{3} \log\left(x^{2} e\right) + 9 \, {\left(x^{2} e + d\right)}^{2} d^{2} g p e^{3} \log\left(x^{2} e\right) - 9 \, {\left(x^{2} e + d\right)} d^{3} g p e^{3} \log\left(x^{2} e\right) + 3 \, d^{4} g p e^{3} \log\left(x^{2} e\right) - 3 \, {\left(x^{2} e + d\right)}^{2} d^{2} g p e^{3} + 6 \, {\left(x^{2} e + d\right)} d^{3} g p e^{3} - 3 \, d^{4} g p e^{3} - 2 \, {\left(x^{2} e + d\right)}^{3} f p e^{4} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)}^{2} d f p e^{4} \log\left(x^{2} e + d\right) - 6 \, {\left(x^{2} e + d\right)} d^{2} f p e^{4} \log\left(x^{2} e + d\right) + 2 \, {\left(x^{2} e + d\right)}^{3} f p e^{4} \log\left(x^{2} e\right) - 6 \, {\left(x^{2} e + d\right)}^{2} d f p e^{4} \log\left(x^{2} e\right) + 6 \, {\left(x^{2} e + d\right)} d^{2} f p e^{4} \log\left(x^{2} e\right) - 2 \, d^{3} f p e^{4} \log\left(x^{2} e\right) - 3 \, {\left(x^{2} e + d\right)} d^{3} g e^{3} \log\left(c\right) + 3 \, d^{4} g e^{3} \log\left(c\right) + 2 \, {\left(x^{2} e + d\right)}^{2} d f p e^{4} - 5 \, {\left(x^{2} e + d\right)} d^{2} f p e^{4} + 3 \, d^{3} f p e^{4} - 2 \, d^{3} f e^{4} \log\left(c\right)\right)} e^{\left(-1\right)}}{12 \, {\left({\left(x^{2} e + d\right)}^{3} d^{3} - 3 \, {\left(x^{2} e + d\right)}^{2} d^{4} + 3 \, {\left(x^{2} e + d\right)} d^{5} - d^{6}\right)}}"," ",0,"1/12*(3*(x^2*e + d)^3*d*g*p*e^3*log(x^2*e + d) - 9*(x^2*e + d)^2*d^2*g*p*e^3*log(x^2*e + d) + 6*(x^2*e + d)*d^3*g*p*e^3*log(x^2*e + d) - 3*(x^2*e + d)^3*d*g*p*e^3*log(x^2*e) + 9*(x^2*e + d)^2*d^2*g*p*e^3*log(x^2*e) - 9*(x^2*e + d)*d^3*g*p*e^3*log(x^2*e) + 3*d^4*g*p*e^3*log(x^2*e) - 3*(x^2*e + d)^2*d^2*g*p*e^3 + 6*(x^2*e + d)*d^3*g*p*e^3 - 3*d^4*g*p*e^3 - 2*(x^2*e + d)^3*f*p*e^4*log(x^2*e + d) + 6*(x^2*e + d)^2*d*f*p*e^4*log(x^2*e + d) - 6*(x^2*e + d)*d^2*f*p*e^4*log(x^2*e + d) + 2*(x^2*e + d)^3*f*p*e^4*log(x^2*e) - 6*(x^2*e + d)^2*d*f*p*e^4*log(x^2*e) + 6*(x^2*e + d)*d^2*f*p*e^4*log(x^2*e) - 2*d^3*f*p*e^4*log(x^2*e) - 3*(x^2*e + d)*d^3*g*e^3*log(c) + 3*d^4*g*e^3*log(c) + 2*(x^2*e + d)^2*d*f*p*e^4 - 5*(x^2*e + d)*d^2*f*p*e^4 + 3*d^3*f*p*e^4 - 2*d^3*f*e^4*log(c))*e^(-1)/((x^2*e + d)^3*d^3 - 3*(x^2*e + d)^2*d^4 + 3*(x^2*e + d)*d^5 - d^6)","B",0
317,1,674,0,0.204080," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^9,x, algorithm=""giac"")","-\frac{{\left(8 \, {\left(x^{2} e + d\right)}^{4} d g p e^{4} \log\left(x^{2} e + d\right) - 32 \, {\left(x^{2} e + d\right)}^{3} d^{2} g p e^{4} \log\left(x^{2} e + d\right) + 48 \, {\left(x^{2} e + d\right)}^{2} d^{3} g p e^{4} \log\left(x^{2} e + d\right) - 24 \, {\left(x^{2} e + d\right)} d^{4} g p e^{4} \log\left(x^{2} e + d\right) - 8 \, {\left(x^{2} e + d\right)}^{4} d g p e^{4} \log\left(x^{2} e\right) + 32 \, {\left(x^{2} e + d\right)}^{3} d^{2} g p e^{4} \log\left(x^{2} e\right) - 48 \, {\left(x^{2} e + d\right)}^{2} d^{3} g p e^{4} \log\left(x^{2} e\right) + 32 \, {\left(x^{2} e + d\right)} d^{4} g p e^{4} \log\left(x^{2} e\right) - 8 \, d^{5} g p e^{4} \log\left(x^{2} e\right) - 8 \, {\left(x^{2} e + d\right)}^{3} d^{2} g p e^{4} + 28 \, {\left(x^{2} e + d\right)}^{2} d^{3} g p e^{4} - 32 \, {\left(x^{2} e + d\right)} d^{4} g p e^{4} + 12 \, d^{5} g p e^{4} - 6 \, {\left(x^{2} e + d\right)}^{4} f p e^{5} \log\left(x^{2} e + d\right) + 24 \, {\left(x^{2} e + d\right)}^{3} d f p e^{5} \log\left(x^{2} e + d\right) - 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} f p e^{5} \log\left(x^{2} e + d\right) + 24 \, {\left(x^{2} e + d\right)} d^{3} f p e^{5} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)}^{4} f p e^{5} \log\left(x^{2} e\right) - 24 \, {\left(x^{2} e + d\right)}^{3} d f p e^{5} \log\left(x^{2} e\right) + 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} f p e^{5} \log\left(x^{2} e\right) - 24 \, {\left(x^{2} e + d\right)} d^{3} f p e^{5} \log\left(x^{2} e\right) + 6 \, d^{4} f p e^{5} \log\left(x^{2} e\right) + 8 \, {\left(x^{2} e + d\right)} d^{4} g e^{4} \log\left(c\right) - 8 \, d^{5} g e^{4} \log\left(c\right) + 6 \, {\left(x^{2} e + d\right)}^{3} d f p e^{5} - 21 \, {\left(x^{2} e + d\right)}^{2} d^{2} f p e^{5} + 26 \, {\left(x^{2} e + d\right)} d^{3} f p e^{5} - 11 \, d^{4} f p e^{5} + 6 \, d^{4} f e^{5} \log\left(c\right)\right)} e^{\left(-1\right)}}{48 \, {\left({\left(x^{2} e + d\right)}^{4} d^{4} - 4 \, {\left(x^{2} e + d\right)}^{3} d^{5} + 6 \, {\left(x^{2} e + d\right)}^{2} d^{6} - 4 \, {\left(x^{2} e + d\right)} d^{7} + d^{8}\right)}}"," ",0,"-1/48*(8*(x^2*e + d)^4*d*g*p*e^4*log(x^2*e + d) - 32*(x^2*e + d)^3*d^2*g*p*e^4*log(x^2*e + d) + 48*(x^2*e + d)^2*d^3*g*p*e^4*log(x^2*e + d) - 24*(x^2*e + d)*d^4*g*p*e^4*log(x^2*e + d) - 8*(x^2*e + d)^4*d*g*p*e^4*log(x^2*e) + 32*(x^2*e + d)^3*d^2*g*p*e^4*log(x^2*e) - 48*(x^2*e + d)^2*d^3*g*p*e^4*log(x^2*e) + 32*(x^2*e + d)*d^4*g*p*e^4*log(x^2*e) - 8*d^5*g*p*e^4*log(x^2*e) - 8*(x^2*e + d)^3*d^2*g*p*e^4 + 28*(x^2*e + d)^2*d^3*g*p*e^4 - 32*(x^2*e + d)*d^4*g*p*e^4 + 12*d^5*g*p*e^4 - 6*(x^2*e + d)^4*f*p*e^5*log(x^2*e + d) + 24*(x^2*e + d)^3*d*f*p*e^5*log(x^2*e + d) - 36*(x^2*e + d)^2*d^2*f*p*e^5*log(x^2*e + d) + 24*(x^2*e + d)*d^3*f*p*e^5*log(x^2*e + d) + 6*(x^2*e + d)^4*f*p*e^5*log(x^2*e) - 24*(x^2*e + d)^3*d*f*p*e^5*log(x^2*e) + 36*(x^2*e + d)^2*d^2*f*p*e^5*log(x^2*e) - 24*(x^2*e + d)*d^3*f*p*e^5*log(x^2*e) + 6*d^4*f*p*e^5*log(x^2*e) + 8*(x^2*e + d)*d^4*g*e^4*log(c) - 8*d^5*g*e^4*log(c) + 6*(x^2*e + d)^3*d*f*p*e^5 - 21*(x^2*e + d)^2*d^2*f*p*e^5 + 26*(x^2*e + d)*d^3*f*p*e^5 - 11*d^4*f*p*e^5 + 6*d^4*f*e^5*log(c))*e^(-1)/((x^2*e + d)^4*d^4 - 4*(x^2*e + d)^3*d^5 + 6*(x^2*e + d)^2*d^6 - 4*(x^2*e + d)*d^7 + d^8)","B",0
318,1,138,0,0.183531," ","integrate(x^2*(g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, d^{3} g p - 5 \, d^{2} f p e\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{5}{2}\right)}}{15 \, \sqrt{d}} + \frac{1}{225} \, {\left(45 \, g p x^{5} e^{2} \log\left(x^{2} e + d\right) - 18 \, g p x^{5} e^{2} + 45 \, g x^{5} e^{2} \log\left(c\right) + 30 \, d g p x^{3} e + 75 \, f p x^{3} e^{2} \log\left(x^{2} e + d\right) - 50 \, f p x^{3} e^{2} + 75 \, f x^{3} e^{2} \log\left(c\right) - 90 \, d^{2} g p x + 150 \, d f p x e\right)} e^{\left(-2\right)}"," ",0,"2/15*(3*d^3*g*p - 5*d^2*f*p*e)*arctan(x*e^(1/2)/sqrt(d))*e^(-5/2)/sqrt(d) + 1/225*(45*g*p*x^5*e^2*log(x^2*e + d) - 18*g*p*x^5*e^2 + 45*g*x^5*e^2*log(c) + 30*d*g*p*x^3*e + 75*f*p*x^3*e^2*log(x^2*e + d) - 50*f*p*x^3*e^2 + 75*f*x^3*e^2*log(c) - 90*d^2*g*p*x + 150*d*f*p*x*e)*e^(-2)","A",0
319,1,109,0,0.174716," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{2 \, {\left(d^{2} g p - 3 \, d f p e\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{3}{2}\right)}}{3 \, \sqrt{d}} + \frac{1}{9} \, {\left(3 \, g p x^{3} e \log\left(x^{2} e + d\right) - 2 \, g p x^{3} e + 3 \, g x^{3} e \log\left(c\right) + 9 \, f p x e \log\left(x^{2} e + d\right) + 6 \, d g p x - 18 \, f p x e + 9 \, f x e \log\left(c\right)\right)} e^{\left(-1\right)}"," ",0,"-2/3*(d^2*g*p - 3*d*f*p*e)*arctan(x*e^(1/2)/sqrt(d))*e^(-3/2)/sqrt(d) + 1/9*(3*g*p*x^3*e*log(x^2*e + d) - 2*g*p*x^3*e + 3*g*x^3*e*log(c) + 9*f*p*x*e*log(x^2*e + d) + 6*d*g*p*x - 18*f*p*x*e + 9*f*x*e*log(c))*e^(-1)","A",0
320,1,78,0,0.191919," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^2,x, algorithm=""giac"")","\frac{2 \, {\left(d g p + f p e\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}} + \frac{g p x^{2} \log\left(x^{2} e + d\right) - 2 \, g p x^{2} + g x^{2} \log\left(c\right) - f p \log\left(x^{2} e + d\right) - f \log\left(c\right)}{x}"," ",0,"2*(d*g*p + f*p*e)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/sqrt(d) + (g*p*x^2*log(x^2*e + d) - 2*g*p*x^2 + g*x^2*log(c) - f*p*log(x^2*e + d) - f*log(c))/x","A",0
321,1,92,0,0.176997," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^4,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, d g p e - f p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{3 \, d^{\frac{3}{2}}} - \frac{3 \, d g p x^{2} \log\left(x^{2} e + d\right) + 2 \, f p x^{2} e + 3 \, d g x^{2} \log\left(c\right) + d f p \log\left(x^{2} e + d\right) + d f \log\left(c\right)}{3 \, d x^{3}}"," ",0,"2/3*(3*d*g*p*e - f*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/d^(3/2) - 1/3*(3*d*g*p*x^2*log(x^2*e + d) + 2*f*p*x^2*e + 3*d*g*x^2*log(c) + d*f*p*log(x^2*e + d) + d*f*log(c))/(d*x^3)","A",0
322,1,122,0,0.208160," ","integrate((g*x^2+f)*log(c*(e*x^2+d)^p)/x^6,x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, d g p e^{2} - 3 \, f p e^{3}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{15 \, d^{\frac{5}{2}}} - \frac{10 \, d g p x^{4} e - 6 \, f p x^{4} e^{2} + 5 \, d^{2} g p x^{2} \log\left(x^{2} e + d\right) + 2 \, d f p x^{2} e + 5 \, d^{2} g x^{2} \log\left(c\right) + 3 \, d^{2} f p \log\left(x^{2} e + d\right) + 3 \, d^{2} f \log\left(c\right)}{15 \, d^{2} x^{5}}"," ",0,"-2/15*(5*d*g*p*e^2 - 3*f*p*e^3)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/d^(5/2) - 1/15*(10*d*g*p*x^4*e - 6*f*p*x^4*e^2 + 5*d^2*g*p*x^2*log(x^2*e + d) + 2*d*f*p*x^2*e + 5*d^2*g*x^2*log(c) + 3*d^2*f*p*log(x^2*e + d) + 3*d^2*f*log(c))/(d^2*x^5)","A",0
323,1,534,0,0.223912," ","integrate(x^5*(g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{3600} \, {\left(360 \, g^{2} x^{10} e \log\left(c\right) + 900 \, f g x^{8} e \log\left(c\right) + 600 \, f^{2} x^{6} e \log\left(c\right) + 100 \, {\left(6 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)}\right)} f^{2} p + 75 \, {\left(12 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(x^{2} e + d\right) + 72 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 3 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)}\right)} f g p + 6 \, {\left(60 \, {\left(x^{2} e + d\right)}^{5} e^{\left(-4\right)} \log\left(x^{2} e + d\right) - 300 \, {\left(x^{2} e + d\right)}^{4} d e^{\left(-4\right)} \log\left(x^{2} e + d\right) + 600 \, {\left(x^{2} e + d\right)}^{3} d^{2} e^{\left(-4\right)} \log\left(x^{2} e + d\right) - 600 \, {\left(x^{2} e + d\right)}^{2} d^{3} e^{\left(-4\right)} \log\left(x^{2} e + d\right) + 300 \, {\left(x^{2} e + d\right)} d^{4} e^{\left(-4\right)} \log\left(x^{2} e + d\right) - 12 \, {\left(x^{2} e + d\right)}^{5} e^{\left(-4\right)} + 75 \, {\left(x^{2} e + d\right)}^{4} d e^{\left(-4\right)} - 200 \, {\left(x^{2} e + d\right)}^{3} d^{2} e^{\left(-4\right)} + 300 \, {\left(x^{2} e + d\right)}^{2} d^{3} e^{\left(-4\right)} - 300 \, {\left(x^{2} e + d\right)} d^{4} e^{\left(-4\right)}\right)} g^{2} p\right)} e^{\left(-1\right)}"," ",0,"1/3600*(360*g^2*x^10*e*log(c) + 900*f*g*x^8*e*log(c) + 600*f^2*x^6*e*log(c) + 100*(6*(x^2*e + d)^3*e^(-2)*log(x^2*e + d) - 18*(x^2*e + d)^2*d*e^(-2)*log(x^2*e + d) + 18*(x^2*e + d)*d^2*e^(-2)*log(x^2*e + d) - 2*(x^2*e + d)^3*e^(-2) + 9*(x^2*e + d)^2*d*e^(-2) - 18*(x^2*e + d)*d^2*e^(-2))*f^2*p + 75*(12*(x^2*e + d)^4*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)^3*d*e^(-3)*log(x^2*e + d) + 72*(x^2*e + d)^2*d^2*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)*d^3*e^(-3)*log(x^2*e + d) - 3*(x^2*e + d)^4*e^(-3) + 16*(x^2*e + d)^3*d*e^(-3) - 36*(x^2*e + d)^2*d^2*e^(-3) + 48*(x^2*e + d)*d^3*e^(-3))*f*g*p + 6*(60*(x^2*e + d)^5*e^(-4)*log(x^2*e + d) - 300*(x^2*e + d)^4*d*e^(-4)*log(x^2*e + d) + 600*(x^2*e + d)^3*d^2*e^(-4)*log(x^2*e + d) - 600*(x^2*e + d)^2*d^3*e^(-4)*log(x^2*e + d) + 300*(x^2*e + d)*d^4*e^(-4)*log(x^2*e + d) - 12*(x^2*e + d)^5*e^(-4) + 75*(x^2*e + d)^4*d*e^(-4) - 200*(x^2*e + d)^3*d^2*e^(-4) + 300*(x^2*e + d)^2*d^3*e^(-4) - 300*(x^2*e + d)*d^4*e^(-4))*g^2*p)*e^(-1)","B",0
324,1,418,0,0.190972," ","integrate(x^3*(g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{288} \, {\left(36 \, g^{2} x^{8} e \log\left(c\right) + 96 \, f g x^{6} e \log\left(c\right) + 36 \, {\left(2 \, {\left(x^{2} e + d\right)}^{2} \log\left(x^{2} e + d\right) - 4 \, {\left(x^{2} e + d\right)} d \log\left(x^{2} e + d\right) - {\left(x^{2} e + d\right)}^{2} + 4 \, {\left(x^{2} e + d\right)} d\right)} f^{2} p e^{\left(-1\right)} + 72 \, {\left({\left(x^{2} e + d\right)}^{2} - 2 \, {\left(x^{2} e + d\right)} d\right)} f^{2} e^{\left(-1\right)} \log\left(c\right) + 16 \, {\left(6 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)}\right)} f g p + 3 \, {\left(12 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(x^{2} e + d\right) + 72 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(x^{2} e + d\right) - 3 \, {\left(x^{2} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(x^{2} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(x^{2} e + d\right)} d^{3} e^{\left(-3\right)}\right)} g^{2} p\right)} e^{\left(-1\right)}"," ",0,"1/288*(36*g^2*x^8*e*log(c) + 96*f*g*x^6*e*log(c) + 36*(2*(x^2*e + d)^2*log(x^2*e + d) - 4*(x^2*e + d)*d*log(x^2*e + d) - (x^2*e + d)^2 + 4*(x^2*e + d)*d)*f^2*p*e^(-1) + 72*((x^2*e + d)^2 - 2*(x^2*e + d)*d)*f^2*e^(-1)*log(c) + 16*(6*(x^2*e + d)^3*e^(-2)*log(x^2*e + d) - 18*(x^2*e + d)^2*d*e^(-2)*log(x^2*e + d) + 18*(x^2*e + d)*d^2*e^(-2)*log(x^2*e + d) - 2*(x^2*e + d)^3*e^(-2) + 9*(x^2*e + d)^2*d*e^(-2) - 18*(x^2*e + d)*d^2*e^(-2))*f*g*p + 3*(12*(x^2*e + d)^4*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)^3*d*e^(-3)*log(x^2*e + d) + 72*(x^2*e + d)^2*d^2*e^(-3)*log(x^2*e + d) - 48*(x^2*e + d)*d^3*e^(-3)*log(x^2*e + d) - 3*(x^2*e + d)^4*e^(-3) + 16*(x^2*e + d)^3*d*e^(-3) - 36*(x^2*e + d)^2*d^2*e^(-3) + 48*(x^2*e + d)*d^3*e^(-3))*g^2*p)*e^(-1)","B",0
325,1,288,0,0.219504," ","integrate(x*(g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{1}{36} \, {\left(6 \, g^{2} x^{6} e \log\left(c\right) + 9 \, {\left(2 \, {\left(x^{2} e + d\right)}^{2} \log\left(x^{2} e + d\right) - 4 \, {\left(x^{2} e + d\right)} d \log\left(x^{2} e + d\right) - {\left(x^{2} e + d\right)}^{2} + 4 \, {\left(x^{2} e + d\right)} d\right)} f g p e^{\left(-1\right)} + 18 \, {\left({\left(x^{2} e + d\right)}^{2} - 2 \, {\left(x^{2} e + d\right)} d\right)} f g e^{\left(-1\right)} \log\left(c\right) - 18 \, {\left(x^{2} e - {\left(x^{2} e + d\right)} \log\left(x^{2} e + d\right) + d\right)} f^{2} p + {\left(6 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{2} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{2} e + d\right)} d^{2} e^{\left(-2\right)}\right)} g^{2} p + 18 \, {\left(x^{2} e + d\right)} f^{2} \log\left(c\right)\right)} e^{\left(-1\right)}"," ",0,"1/36*(6*g^2*x^6*e*log(c) + 9*(2*(x^2*e + d)^2*log(x^2*e + d) - 4*(x^2*e + d)*d*log(x^2*e + d) - (x^2*e + d)^2 + 4*(x^2*e + d)*d)*f*g*p*e^(-1) + 18*((x^2*e + d)^2 - 2*(x^2*e + d)*d)*f*g*e^(-1)*log(c) - 18*(x^2*e - (x^2*e + d)*log(x^2*e + d) + d)*f^2*p + (6*(x^2*e + d)^3*e^(-2)*log(x^2*e + d) - 18*(x^2*e + d)^2*d*e^(-2)*log(x^2*e + d) + 18*(x^2*e + d)*d^2*e^(-2)*log(x^2*e + d) - 2*(x^2*e + d)^3*e^(-2) + 9*(x^2*e + d)^2*d*e^(-2) - 18*(x^2*e + d)*d^2*e^(-2))*g^2*p + 18*(x^2*e + d)*f^2*log(c))*e^(-1)","B",0
326,0,0,0,0.000000," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^2 + f)^2*log((e*x^2 + d)^p*c)/x, x)","F",0
327,0,0,0,0.000000," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^3,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{x^{3}}\,{d x}"," ",0,"integrate((g*x^2 + f)^2*log((e*x^2 + d)^p*c)/x^3, x)","F",0
328,0,0,0,0.000000," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^5,x, algorithm=""giac"")","\int \frac{{\left(g x^{2} + f\right)}^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{x^{5}}\,{d x}"," ",0,"integrate((g*x^2 + f)^2*log((e*x^2 + d)^p*c)/x^5, x)","F",0
329,1,791,0,0.226056," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^7,x, algorithm=""giac"")","-\frac{{\left(6 \, {\left(x^{2} e + d\right)}^{3} d^{2} g^{2} p e^{2} \log\left(x^{2} e + d\right) - 12 \, {\left(x^{2} e + d\right)}^{2} d^{3} g^{2} p e^{2} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)} d^{4} g^{2} p e^{2} \log\left(x^{2} e + d\right) - 6 \, {\left(x^{2} e + d\right)}^{3} d^{2} g^{2} p e^{2} \log\left(x^{2} e\right) + 18 \, {\left(x^{2} e + d\right)}^{2} d^{3} g^{2} p e^{2} \log\left(x^{2} e\right) - 18 \, {\left(x^{2} e + d\right)} d^{4} g^{2} p e^{2} \log\left(x^{2} e\right) + 6 \, d^{5} g^{2} p e^{2} \log\left(x^{2} e\right) - 6 \, {\left(x^{2} e + d\right)}^{3} d f g p e^{3} \log\left(x^{2} e + d\right) + 18 \, {\left(x^{2} e + d\right)}^{2} d^{2} f g p e^{3} \log\left(x^{2} e + d\right) - 12 \, {\left(x^{2} e + d\right)} d^{3} f g p e^{3} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)}^{3} d f g p e^{3} \log\left(x^{2} e\right) - 18 \, {\left(x^{2} e + d\right)}^{2} d^{2} f g p e^{3} \log\left(x^{2} e\right) + 18 \, {\left(x^{2} e + d\right)} d^{3} f g p e^{3} \log\left(x^{2} e\right) - 6 \, d^{4} f g p e^{3} \log\left(x^{2} e\right) + 6 \, {\left(x^{2} e + d\right)}^{2} d^{3} g^{2} e^{2} \log\left(c\right) - 12 \, {\left(x^{2} e + d\right)} d^{4} g^{2} e^{2} \log\left(c\right) + 6 \, d^{5} g^{2} e^{2} \log\left(c\right) + 6 \, {\left(x^{2} e + d\right)}^{2} d^{2} f g p e^{3} - 12 \, {\left(x^{2} e + d\right)} d^{3} f g p e^{3} + 6 \, d^{4} f g p e^{3} + 2 \, {\left(x^{2} e + d\right)}^{3} f^{2} p e^{4} \log\left(x^{2} e + d\right) - 6 \, {\left(x^{2} e + d\right)}^{2} d f^{2} p e^{4} \log\left(x^{2} e + d\right) + 6 \, {\left(x^{2} e + d\right)} d^{2} f^{2} p e^{4} \log\left(x^{2} e + d\right) - 2 \, {\left(x^{2} e + d\right)}^{3} f^{2} p e^{4} \log\left(x^{2} e\right) + 6 \, {\left(x^{2} e + d\right)}^{2} d f^{2} p e^{4} \log\left(x^{2} e\right) - 6 \, {\left(x^{2} e + d\right)} d^{2} f^{2} p e^{4} \log\left(x^{2} e\right) + 2 \, d^{3} f^{2} p e^{4} \log\left(x^{2} e\right) + 6 \, {\left(x^{2} e + d\right)} d^{3} f g e^{3} \log\left(c\right) - 6 \, d^{4} f g e^{3} \log\left(c\right) - 2 \, {\left(x^{2} e + d\right)}^{2} d f^{2} p e^{4} + 5 \, {\left(x^{2} e + d\right)} d^{2} f^{2} p e^{4} - 3 \, d^{3} f^{2} p e^{4} + 2 \, d^{3} f^{2} e^{4} \log\left(c\right)\right)} e^{\left(-1\right)}}{12 \, {\left({\left(x^{2} e + d\right)}^{3} d^{3} - 3 \, {\left(x^{2} e + d\right)}^{2} d^{4} + 3 \, {\left(x^{2} e + d\right)} d^{5} - d^{6}\right)}}"," ",0,"-1/12*(6*(x^2*e + d)^3*d^2*g^2*p*e^2*log(x^2*e + d) - 12*(x^2*e + d)^2*d^3*g^2*p*e^2*log(x^2*e + d) + 6*(x^2*e + d)*d^4*g^2*p*e^2*log(x^2*e + d) - 6*(x^2*e + d)^3*d^2*g^2*p*e^2*log(x^2*e) + 18*(x^2*e + d)^2*d^3*g^2*p*e^2*log(x^2*e) - 18*(x^2*e + d)*d^4*g^2*p*e^2*log(x^2*e) + 6*d^5*g^2*p*e^2*log(x^2*e) - 6*(x^2*e + d)^3*d*f*g*p*e^3*log(x^2*e + d) + 18*(x^2*e + d)^2*d^2*f*g*p*e^3*log(x^2*e + d) - 12*(x^2*e + d)*d^3*f*g*p*e^3*log(x^2*e + d) + 6*(x^2*e + d)^3*d*f*g*p*e^3*log(x^2*e) - 18*(x^2*e + d)^2*d^2*f*g*p*e^3*log(x^2*e) + 18*(x^2*e + d)*d^3*f*g*p*e^3*log(x^2*e) - 6*d^4*f*g*p*e^3*log(x^2*e) + 6*(x^2*e + d)^2*d^3*g^2*e^2*log(c) - 12*(x^2*e + d)*d^4*g^2*e^2*log(c) + 6*d^5*g^2*e^2*log(c) + 6*(x^2*e + d)^2*d^2*f*g*p*e^3 - 12*(x^2*e + d)*d^3*f*g*p*e^3 + 6*d^4*f*g*p*e^3 + 2*(x^2*e + d)^3*f^2*p*e^4*log(x^2*e + d) - 6*(x^2*e + d)^2*d*f^2*p*e^4*log(x^2*e + d) + 6*(x^2*e + d)*d^2*f^2*p*e^4*log(x^2*e + d) - 2*(x^2*e + d)^3*f^2*p*e^4*log(x^2*e) + 6*(x^2*e + d)^2*d*f^2*p*e^4*log(x^2*e) - 6*(x^2*e + d)*d^2*f^2*p*e^4*log(x^2*e) + 2*d^3*f^2*p*e^4*log(x^2*e) + 6*(x^2*e + d)*d^3*f*g*e^3*log(c) - 6*d^4*f*g*e^3*log(c) - 2*(x^2*e + d)^2*d*f^2*p*e^4 + 5*(x^2*e + d)*d^2*f^2*p*e^4 - 3*d^3*f^2*p*e^4 + 2*d^3*f^2*e^4*log(c))*e^(-1)/((x^2*e + d)^3*d^3 - 3*(x^2*e + d)^2*d^4 + 3*(x^2*e + d)*d^5 - d^6)","B",0
330,1,1089,0,0.238663," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^9,x, algorithm=""giac"")","\frac{{\left(12 \, {\left(x^{2} e + d\right)}^{4} d^{2} g^{2} p e^{3} \log\left(x^{2} e + d\right) - 48 \, {\left(x^{2} e + d\right)}^{3} d^{3} g^{2} p e^{3} \log\left(x^{2} e + d\right) + 60 \, {\left(x^{2} e + d\right)}^{2} d^{4} g^{2} p e^{3} \log\left(x^{2} e + d\right) - 24 \, {\left(x^{2} e + d\right)} d^{5} g^{2} p e^{3} \log\left(x^{2} e + d\right) - 12 \, {\left(x^{2} e + d\right)}^{4} d^{2} g^{2} p e^{3} \log\left(x^{2} e\right) + 48 \, {\left(x^{2} e + d\right)}^{3} d^{3} g^{2} p e^{3} \log\left(x^{2} e\right) - 72 \, {\left(x^{2} e + d\right)}^{2} d^{4} g^{2} p e^{3} \log\left(x^{2} e\right) + 48 \, {\left(x^{2} e + d\right)} d^{5} g^{2} p e^{3} \log\left(x^{2} e\right) - 12 \, d^{6} g^{2} p e^{3} \log\left(x^{2} e\right) - 12 \, {\left(x^{2} e + d\right)}^{3} d^{3} g^{2} p e^{3} + 36 \, {\left(x^{2} e + d\right)}^{2} d^{4} g^{2} p e^{3} - 36 \, {\left(x^{2} e + d\right)} d^{5} g^{2} p e^{3} + 12 \, d^{6} g^{2} p e^{3} - 16 \, {\left(x^{2} e + d\right)}^{4} d f g p e^{4} \log\left(x^{2} e + d\right) + 64 \, {\left(x^{2} e + d\right)}^{3} d^{2} f g p e^{4} \log\left(x^{2} e + d\right) - 96 \, {\left(x^{2} e + d\right)}^{2} d^{3} f g p e^{4} \log\left(x^{2} e + d\right) + 48 \, {\left(x^{2} e + d\right)} d^{4} f g p e^{4} \log\left(x^{2} e + d\right) + 16 \, {\left(x^{2} e + d\right)}^{4} d f g p e^{4} \log\left(x^{2} e\right) - 64 \, {\left(x^{2} e + d\right)}^{3} d^{2} f g p e^{4} \log\left(x^{2} e\right) + 96 \, {\left(x^{2} e + d\right)}^{2} d^{3} f g p e^{4} \log\left(x^{2} e\right) - 64 \, {\left(x^{2} e + d\right)} d^{4} f g p e^{4} \log\left(x^{2} e\right) + 16 \, d^{5} f g p e^{4} \log\left(x^{2} e\right) - 12 \, {\left(x^{2} e + d\right)}^{2} d^{4} g^{2} e^{3} \log\left(c\right) + 24 \, {\left(x^{2} e + d\right)} d^{5} g^{2} e^{3} \log\left(c\right) - 12 \, d^{6} g^{2} e^{3} \log\left(c\right) + 16 \, {\left(x^{2} e + d\right)}^{3} d^{2} f g p e^{4} - 56 \, {\left(x^{2} e + d\right)}^{2} d^{3} f g p e^{4} + 64 \, {\left(x^{2} e + d\right)} d^{4} f g p e^{4} - 24 \, d^{5} f g p e^{4} + 6 \, {\left(x^{2} e + d\right)}^{4} f^{2} p e^{5} \log\left(x^{2} e + d\right) - 24 \, {\left(x^{2} e + d\right)}^{3} d f^{2} p e^{5} \log\left(x^{2} e + d\right) + 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} f^{2} p e^{5} \log\left(x^{2} e + d\right) - 24 \, {\left(x^{2} e + d\right)} d^{3} f^{2} p e^{5} \log\left(x^{2} e + d\right) - 6 \, {\left(x^{2} e + d\right)}^{4} f^{2} p e^{5} \log\left(x^{2} e\right) + 24 \, {\left(x^{2} e + d\right)}^{3} d f^{2} p e^{5} \log\left(x^{2} e\right) - 36 \, {\left(x^{2} e + d\right)}^{2} d^{2} f^{2} p e^{5} \log\left(x^{2} e\right) + 24 \, {\left(x^{2} e + d\right)} d^{3} f^{2} p e^{5} \log\left(x^{2} e\right) - 6 \, d^{4} f^{2} p e^{5} \log\left(x^{2} e\right) - 16 \, {\left(x^{2} e + d\right)} d^{4} f g e^{4} \log\left(c\right) + 16 \, d^{5} f g e^{4} \log\left(c\right) - 6 \, {\left(x^{2} e + d\right)}^{3} d f^{2} p e^{5} + 21 \, {\left(x^{2} e + d\right)}^{2} d^{2} f^{2} p e^{5} - 26 \, {\left(x^{2} e + d\right)} d^{3} f^{2} p e^{5} + 11 \, d^{4} f^{2} p e^{5} - 6 \, d^{4} f^{2} e^{5} \log\left(c\right)\right)} e^{\left(-1\right)}}{48 \, {\left({\left(x^{2} e + d\right)}^{4} d^{4} - 4 \, {\left(x^{2} e + d\right)}^{3} d^{5} + 6 \, {\left(x^{2} e + d\right)}^{2} d^{6} - 4 \, {\left(x^{2} e + d\right)} d^{7} + d^{8}\right)}}"," ",0,"1/48*(12*(x^2*e + d)^4*d^2*g^2*p*e^3*log(x^2*e + d) - 48*(x^2*e + d)^3*d^3*g^2*p*e^3*log(x^2*e + d) + 60*(x^2*e + d)^2*d^4*g^2*p*e^3*log(x^2*e + d) - 24*(x^2*e + d)*d^5*g^2*p*e^3*log(x^2*e + d) - 12*(x^2*e + d)^4*d^2*g^2*p*e^3*log(x^2*e) + 48*(x^2*e + d)^3*d^3*g^2*p*e^3*log(x^2*e) - 72*(x^2*e + d)^2*d^4*g^2*p*e^3*log(x^2*e) + 48*(x^2*e + d)*d^5*g^2*p*e^3*log(x^2*e) - 12*d^6*g^2*p*e^3*log(x^2*e) - 12*(x^2*e + d)^3*d^3*g^2*p*e^3 + 36*(x^2*e + d)^2*d^4*g^2*p*e^3 - 36*(x^2*e + d)*d^5*g^2*p*e^3 + 12*d^6*g^2*p*e^3 - 16*(x^2*e + d)^4*d*f*g*p*e^4*log(x^2*e + d) + 64*(x^2*e + d)^3*d^2*f*g*p*e^4*log(x^2*e + d) - 96*(x^2*e + d)^2*d^3*f*g*p*e^4*log(x^2*e + d) + 48*(x^2*e + d)*d^4*f*g*p*e^4*log(x^2*e + d) + 16*(x^2*e + d)^4*d*f*g*p*e^4*log(x^2*e) - 64*(x^2*e + d)^3*d^2*f*g*p*e^4*log(x^2*e) + 96*(x^2*e + d)^2*d^3*f*g*p*e^4*log(x^2*e) - 64*(x^2*e + d)*d^4*f*g*p*e^4*log(x^2*e) + 16*d^5*f*g*p*e^4*log(x^2*e) - 12*(x^2*e + d)^2*d^4*g^2*e^3*log(c) + 24*(x^2*e + d)*d^5*g^2*e^3*log(c) - 12*d^6*g^2*e^3*log(c) + 16*(x^2*e + d)^3*d^2*f*g*p*e^4 - 56*(x^2*e + d)^2*d^3*f*g*p*e^4 + 64*(x^2*e + d)*d^4*f*g*p*e^4 - 24*d^5*f*g*p*e^4 + 6*(x^2*e + d)^4*f^2*p*e^5*log(x^2*e + d) - 24*(x^2*e + d)^3*d*f^2*p*e^5*log(x^2*e + d) + 36*(x^2*e + d)^2*d^2*f^2*p*e^5*log(x^2*e + d) - 24*(x^2*e + d)*d^3*f^2*p*e^5*log(x^2*e + d) - 6*(x^2*e + d)^4*f^2*p*e^5*log(x^2*e) + 24*(x^2*e + d)^3*d*f^2*p*e^5*log(x^2*e) - 36*(x^2*e + d)^2*d^2*f^2*p*e^5*log(x^2*e) + 24*(x^2*e + d)*d^3*f^2*p*e^5*log(x^2*e) - 6*d^4*f^2*p*e^5*log(x^2*e) - 16*(x^2*e + d)*d^4*f*g*e^4*log(c) + 16*d^5*f*g*e^4*log(c) - 6*(x^2*e + d)^3*d*f^2*p*e^5 + 21*(x^2*e + d)^2*d^2*f^2*p*e^5 - 26*(x^2*e + d)*d^3*f^2*p*e^5 + 11*d^4*f^2*p*e^5 - 6*d^4*f^2*e^5*log(c))*e^(-1)/((x^2*e + d)^4*d^4 - 4*(x^2*e + d)^3*d^5 + 6*(x^2*e + d)^2*d^6 - 4*(x^2*e + d)*d^7 + d^8)","B",0
331,1,1340,0,0.304632," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^11,x, algorithm=""giac"")","-\frac{{\left(20 \, {\left(x^{2} e + d\right)}^{5} d^{2} g^{2} p e^{4} \log\left(x^{2} e + d\right) - 100 \, {\left(x^{2} e + d\right)}^{4} d^{3} g^{2} p e^{4} \log\left(x^{2} e + d\right) + 200 \, {\left(x^{2} e + d\right)}^{3} d^{4} g^{2} p e^{4} \log\left(x^{2} e + d\right) - 180 \, {\left(x^{2} e + d\right)}^{2} d^{5} g^{2} p e^{4} \log\left(x^{2} e + d\right) + 60 \, {\left(x^{2} e + d\right)} d^{6} g^{2} p e^{4} \log\left(x^{2} e + d\right) - 20 \, {\left(x^{2} e + d\right)}^{5} d^{2} g^{2} p e^{4} \log\left(x^{2} e\right) + 100 \, {\left(x^{2} e + d\right)}^{4} d^{3} g^{2} p e^{4} \log\left(x^{2} e\right) - 200 \, {\left(x^{2} e + d\right)}^{3} d^{4} g^{2} p e^{4} \log\left(x^{2} e\right) + 200 \, {\left(x^{2} e + d\right)}^{2} d^{5} g^{2} p e^{4} \log\left(x^{2} e\right) - 100 \, {\left(x^{2} e + d\right)} d^{6} g^{2} p e^{4} \log\left(x^{2} e\right) + 20 \, d^{7} g^{2} p e^{4} \log\left(x^{2} e\right) - 20 \, {\left(x^{2} e + d\right)}^{4} d^{3} g^{2} p e^{4} + 90 \, {\left(x^{2} e + d\right)}^{3} d^{4} g^{2} p e^{4} - 150 \, {\left(x^{2} e + d\right)}^{2} d^{5} g^{2} p e^{4} + 110 \, {\left(x^{2} e + d\right)} d^{6} g^{2} p e^{4} - 30 \, d^{7} g^{2} p e^{4} - 30 \, {\left(x^{2} e + d\right)}^{5} d f g p e^{5} \log\left(x^{2} e + d\right) + 150 \, {\left(x^{2} e + d\right)}^{4} d^{2} f g p e^{5} \log\left(x^{2} e + d\right) - 300 \, {\left(x^{2} e + d\right)}^{3} d^{3} f g p e^{5} \log\left(x^{2} e + d\right) + 300 \, {\left(x^{2} e + d\right)}^{2} d^{4} f g p e^{5} \log\left(x^{2} e + d\right) - 120 \, {\left(x^{2} e + d\right)} d^{5} f g p e^{5} \log\left(x^{2} e + d\right) + 30 \, {\left(x^{2} e + d\right)}^{5} d f g p e^{5} \log\left(x^{2} e\right) - 150 \, {\left(x^{2} e + d\right)}^{4} d^{2} f g p e^{5} \log\left(x^{2} e\right) + 300 \, {\left(x^{2} e + d\right)}^{3} d^{3} f g p e^{5} \log\left(x^{2} e\right) - 300 \, {\left(x^{2} e + d\right)}^{2} d^{4} f g p e^{5} \log\left(x^{2} e\right) + 150 \, {\left(x^{2} e + d\right)} d^{5} f g p e^{5} \log\left(x^{2} e\right) - 30 \, d^{6} f g p e^{5} \log\left(x^{2} e\right) + 20 \, {\left(x^{2} e + d\right)}^{2} d^{5} g^{2} e^{4} \log\left(c\right) - 40 \, {\left(x^{2} e + d\right)} d^{6} g^{2} e^{4} \log\left(c\right) + 20 \, d^{7} g^{2} e^{4} \log\left(c\right) + 30 \, {\left(x^{2} e + d\right)}^{4} d^{2} f g p e^{5} - 135 \, {\left(x^{2} e + d\right)}^{3} d^{3} f g p e^{5} + 235 \, {\left(x^{2} e + d\right)}^{2} d^{4} f g p e^{5} - 185 \, {\left(x^{2} e + d\right)} d^{5} f g p e^{5} + 55 \, d^{6} f g p e^{5} + 12 \, {\left(x^{2} e + d\right)}^{5} f^{2} p e^{6} \log\left(x^{2} e + d\right) - 60 \, {\left(x^{2} e + d\right)}^{4} d f^{2} p e^{6} \log\left(x^{2} e + d\right) + 120 \, {\left(x^{2} e + d\right)}^{3} d^{2} f^{2} p e^{6} \log\left(x^{2} e + d\right) - 120 \, {\left(x^{2} e + d\right)}^{2} d^{3} f^{2} p e^{6} \log\left(x^{2} e + d\right) + 60 \, {\left(x^{2} e + d\right)} d^{4} f^{2} p e^{6} \log\left(x^{2} e + d\right) - 12 \, {\left(x^{2} e + d\right)}^{5} f^{2} p e^{6} \log\left(x^{2} e\right) + 60 \, {\left(x^{2} e + d\right)}^{4} d f^{2} p e^{6} \log\left(x^{2} e\right) - 120 \, {\left(x^{2} e + d\right)}^{3} d^{2} f^{2} p e^{6} \log\left(x^{2} e\right) + 120 \, {\left(x^{2} e + d\right)}^{2} d^{3} f^{2} p e^{6} \log\left(x^{2} e\right) - 60 \, {\left(x^{2} e + d\right)} d^{4} f^{2} p e^{6} \log\left(x^{2} e\right) + 12 \, d^{5} f^{2} p e^{6} \log\left(x^{2} e\right) + 30 \, {\left(x^{2} e + d\right)} d^{5} f g e^{5} \log\left(c\right) - 30 \, d^{6} f g e^{5} \log\left(c\right) - 12 \, {\left(x^{2} e + d\right)}^{4} d f^{2} p e^{6} + 54 \, {\left(x^{2} e + d\right)}^{3} d^{2} f^{2} p e^{6} - 94 \, {\left(x^{2} e + d\right)}^{2} d^{3} f^{2} p e^{6} + 77 \, {\left(x^{2} e + d\right)} d^{4} f^{2} p e^{6} - 25 \, d^{5} f^{2} p e^{6} + 12 \, d^{5} f^{2} e^{6} \log\left(c\right)\right)} e^{\left(-1\right)}}{120 \, {\left({\left(x^{2} e + d\right)}^{5} d^{5} - 5 \, {\left(x^{2} e + d\right)}^{4} d^{6} + 10 \, {\left(x^{2} e + d\right)}^{3} d^{7} - 10 \, {\left(x^{2} e + d\right)}^{2} d^{8} + 5 \, {\left(x^{2} e + d\right)} d^{9} - d^{10}\right)}}"," ",0,"-1/120*(20*(x^2*e + d)^5*d^2*g^2*p*e^4*log(x^2*e + d) - 100*(x^2*e + d)^4*d^3*g^2*p*e^4*log(x^2*e + d) + 200*(x^2*e + d)^3*d^4*g^2*p*e^4*log(x^2*e + d) - 180*(x^2*e + d)^2*d^5*g^2*p*e^4*log(x^2*e + d) + 60*(x^2*e + d)*d^6*g^2*p*e^4*log(x^2*e + d) - 20*(x^2*e + d)^5*d^2*g^2*p*e^4*log(x^2*e) + 100*(x^2*e + d)^4*d^3*g^2*p*e^4*log(x^2*e) - 200*(x^2*e + d)^3*d^4*g^2*p*e^4*log(x^2*e) + 200*(x^2*e + d)^2*d^5*g^2*p*e^4*log(x^2*e) - 100*(x^2*e + d)*d^6*g^2*p*e^4*log(x^2*e) + 20*d^7*g^2*p*e^4*log(x^2*e) - 20*(x^2*e + d)^4*d^3*g^2*p*e^4 + 90*(x^2*e + d)^3*d^4*g^2*p*e^4 - 150*(x^2*e + d)^2*d^5*g^2*p*e^4 + 110*(x^2*e + d)*d^6*g^2*p*e^4 - 30*d^7*g^2*p*e^4 - 30*(x^2*e + d)^5*d*f*g*p*e^5*log(x^2*e + d) + 150*(x^2*e + d)^4*d^2*f*g*p*e^5*log(x^2*e + d) - 300*(x^2*e + d)^3*d^3*f*g*p*e^5*log(x^2*e + d) + 300*(x^2*e + d)^2*d^4*f*g*p*e^5*log(x^2*e + d) - 120*(x^2*e + d)*d^5*f*g*p*e^5*log(x^2*e + d) + 30*(x^2*e + d)^5*d*f*g*p*e^5*log(x^2*e) - 150*(x^2*e + d)^4*d^2*f*g*p*e^5*log(x^2*e) + 300*(x^2*e + d)^3*d^3*f*g*p*e^5*log(x^2*e) - 300*(x^2*e + d)^2*d^4*f*g*p*e^5*log(x^2*e) + 150*(x^2*e + d)*d^5*f*g*p*e^5*log(x^2*e) - 30*d^6*f*g*p*e^5*log(x^2*e) + 20*(x^2*e + d)^2*d^5*g^2*e^4*log(c) - 40*(x^2*e + d)*d^6*g^2*e^4*log(c) + 20*d^7*g^2*e^4*log(c) + 30*(x^2*e + d)^4*d^2*f*g*p*e^5 - 135*(x^2*e + d)^3*d^3*f*g*p*e^5 + 235*(x^2*e + d)^2*d^4*f*g*p*e^5 - 185*(x^2*e + d)*d^5*f*g*p*e^5 + 55*d^6*f*g*p*e^5 + 12*(x^2*e + d)^5*f^2*p*e^6*log(x^2*e + d) - 60*(x^2*e + d)^4*d*f^2*p*e^6*log(x^2*e + d) + 120*(x^2*e + d)^3*d^2*f^2*p*e^6*log(x^2*e + d) - 120*(x^2*e + d)^2*d^3*f^2*p*e^6*log(x^2*e + d) + 60*(x^2*e + d)*d^4*f^2*p*e^6*log(x^2*e + d) - 12*(x^2*e + d)^5*f^2*p*e^6*log(x^2*e) + 60*(x^2*e + d)^4*d*f^2*p*e^6*log(x^2*e) - 120*(x^2*e + d)^3*d^2*f^2*p*e^6*log(x^2*e) + 120*(x^2*e + d)^2*d^3*f^2*p*e^6*log(x^2*e) - 60*(x^2*e + d)*d^4*f^2*p*e^6*log(x^2*e) + 12*d^5*f^2*p*e^6*log(x^2*e) + 30*(x^2*e + d)*d^5*f*g*e^5*log(c) - 30*d^6*f*g*e^5*log(c) - 12*(x^2*e + d)^4*d*f^2*p*e^6 + 54*(x^2*e + d)^3*d^2*f^2*p*e^6 - 94*(x^2*e + d)^2*d^3*f^2*p*e^6 + 77*(x^2*e + d)*d^4*f^2*p*e^6 - 25*d^5*f^2*p*e^6 + 12*d^5*f^2*e^6*log(c))*e^(-1)/((x^2*e + d)^5*d^5 - 5*(x^2*e + d)^4*d^6 + 10*(x^2*e + d)^3*d^7 - 10*(x^2*e + d)^2*d^8 + 5*(x^2*e + d)*d^9 - d^10)","B",0
332,1,246,0,0.250451," ","integrate(x^2*(g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, d^{4} g^{2} p - 42 \, d^{3} f g p e + 35 \, d^{2} f^{2} p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{7}{2}\right)}}{105 \, \sqrt{d}} + \frac{1}{11025} \, {\left(1575 \, g^{2} p x^{7} e^{3} \log\left(x^{2} e + d\right) - 450 \, g^{2} p x^{7} e^{3} + 1575 \, g^{2} x^{7} e^{3} \log\left(c\right) + 630 \, d g^{2} p x^{5} e^{2} + 4410 \, f g p x^{5} e^{3} \log\left(x^{2} e + d\right) - 1764 \, f g p x^{5} e^{3} - 1050 \, d^{2} g^{2} p x^{3} e + 4410 \, f g x^{5} e^{3} \log\left(c\right) + 2940 \, d f g p x^{3} e^{2} + 3675 \, f^{2} p x^{3} e^{3} \log\left(x^{2} e + d\right) + 3150 \, d^{3} g^{2} p x - 2450 \, f^{2} p x^{3} e^{3} - 8820 \, d^{2} f g p x e + 3675 \, f^{2} x^{3} e^{3} \log\left(c\right) + 7350 \, d f^{2} p x e^{2}\right)} e^{\left(-3\right)}"," ",0,"-2/105*(15*d^4*g^2*p - 42*d^3*f*g*p*e + 35*d^2*f^2*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-7/2)/sqrt(d) + 1/11025*(1575*g^2*p*x^7*e^3*log(x^2*e + d) - 450*g^2*p*x^7*e^3 + 1575*g^2*x^7*e^3*log(c) + 630*d*g^2*p*x^5*e^2 + 4410*f*g*p*x^5*e^3*log(x^2*e + d) - 1764*f*g*p*x^5*e^3 - 1050*d^2*g^2*p*x^3*e + 4410*f*g*x^5*e^3*log(c) + 2940*d*f*g*p*x^3*e^2 + 3675*f^2*p*x^3*e^3*log(x^2*e + d) + 3150*d^3*g^2*p*x - 2450*f^2*p*x^3*e^3 - 8820*d^2*f*g*p*x*e + 3675*f^2*x^3*e^3*log(c) + 7350*d*f^2*p*x*e^2)*e^(-3)","A",0
333,1,201,0,0.193499," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p),x, algorithm=""giac"")","\frac{2 \, {\left(3 \, d^{3} g^{2} p - 10 \, d^{2} f g p e + 15 \, d f^{2} p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{5}{2}\right)}}{15 \, \sqrt{d}} + \frac{1}{225} \, {\left(45 \, g^{2} p x^{5} e^{2} \log\left(x^{2} e + d\right) - 18 \, g^{2} p x^{5} e^{2} + 45 \, g^{2} x^{5} e^{2} \log\left(c\right) + 30 \, d g^{2} p x^{3} e + 150 \, f g p x^{3} e^{2} \log\left(x^{2} e + d\right) - 100 \, f g p x^{3} e^{2} + 150 \, f g x^{3} e^{2} \log\left(c\right) - 90 \, d^{2} g^{2} p x + 300 \, d f g p x e + 225 \, f^{2} p x e^{2} \log\left(x^{2} e + d\right) - 450 \, f^{2} p x e^{2} + 225 \, f^{2} x e^{2} \log\left(c\right)\right)} e^{\left(-2\right)}"," ",0,"2/15*(3*d^3*g^2*p - 10*d^2*f*g*p*e + 15*d*f^2*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-5/2)/sqrt(d) + 1/225*(45*g^2*p*x^5*e^2*log(x^2*e + d) - 18*g^2*p*x^5*e^2 + 45*g^2*x^5*e^2*log(c) + 30*d*g^2*p*x^3*e + 150*f*g*p*x^3*e^2*log(x^2*e + d) - 100*f*g*p*x^3*e^2 + 150*f*g*x^3*e^2*log(c) - 90*d^2*g^2*p*x + 300*d*f*g*p*x*e + 225*f^2*p*x*e^2*log(x^2*e + d) - 450*f^2*p*x*e^2 + 225*f^2*x*e^2*log(c))*e^(-2)","A",0
334,1,168,0,0.182851," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^2,x, algorithm=""giac"")","-\frac{2 \, {\left(d^{2} g^{2} p - 6 \, d f g p e - 3 \, f^{2} p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{3}{2}\right)}}{3 \, \sqrt{d}} + \frac{{\left(3 \, g^{2} p x^{4} e \log\left(x^{2} e + d\right) - 2 \, g^{2} p x^{4} e + 3 \, g^{2} x^{4} e \log\left(c\right) + 18 \, f g p x^{2} e \log\left(x^{2} e + d\right) + 6 \, d g^{2} p x^{2} - 36 \, f g p x^{2} e + 18 \, f g x^{2} e \log\left(c\right) - 9 \, f^{2} p e \log\left(x^{2} e + d\right) - 9 \, f^{2} e \log\left(c\right)\right)} e^{\left(-1\right)}}{9 \, x}"," ",0,"-2/3*(d^2*g^2*p - 6*d*f*g*p*e - 3*f^2*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-3/2)/sqrt(d) + 1/9*(3*g^2*p*x^4*e*log(x^2*e + d) - 2*g^2*p*x^4*e + 3*g^2*x^4*e*log(c) + 18*f*g*p*x^2*e*log(x^2*e + d) + 6*d*g^2*p*x^2 - 36*f*g*p*x^2*e + 18*f*g*x^2*e*log(c) - 9*f^2*p*e*log(x^2*e + d) - 9*f^2*e*log(c))*e^(-1)/x","A",0
335,1,154,0,0.184414," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^4,x, algorithm=""giac"")","\frac{2 \, {\left(3 \, d^{2} g^{2} p + 6 \, d f g p e - f^{2} p e^{2}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{3 \, d^{\frac{3}{2}}} + \frac{3 \, d g^{2} p x^{4} \log\left(x^{2} e + d\right) - 6 \, d g^{2} p x^{4} + 3 \, d g^{2} x^{4} \log\left(c\right) - 6 \, d f g p x^{2} \log\left(x^{2} e + d\right) - 2 \, f^{2} p x^{2} e - 6 \, d f g x^{2} \log\left(c\right) - d f^{2} p \log\left(x^{2} e + d\right) - d f^{2} \log\left(c\right)}{3 \, d x^{3}}"," ",0,"2/3*(3*d^2*g^2*p + 6*d*f*g*p*e - f^2*p*e^2)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/d^(3/2) + 1/3*(3*d*g^2*p*x^4*log(x^2*e + d) - 6*d*g^2*p*x^4 + 3*d*g^2*x^4*log(c) - 6*d*f*g*p*x^2*log(x^2*e + d) - 2*f^2*p*x^2*e - 6*d*f*g*x^2*log(c) - d*f^2*p*log(x^2*e + d) - d*f^2*log(c))/(d*x^3)","A",0
336,1,181,0,0.191403," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^6,x, algorithm=""giac"")","\frac{2 \, {\left(15 \, d^{2} g^{2} p e - 10 \, d f g p e^{2} + 3 \, f^{2} p e^{3}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{15 \, d^{\frac{5}{2}}} - \frac{15 \, d^{2} g^{2} p x^{4} \log\left(x^{2} e + d\right) + 20 \, d f g p x^{4} e + 15 \, d^{2} g^{2} x^{4} \log\left(c\right) - 6 \, f^{2} p x^{4} e^{2} + 10 \, d^{2} f g p x^{2} \log\left(x^{2} e + d\right) + 2 \, d f^{2} p x^{2} e + 10 \, d^{2} f g x^{2} \log\left(c\right) + 3 \, d^{2} f^{2} p \log\left(x^{2} e + d\right) + 3 \, d^{2} f^{2} \log\left(c\right)}{15 \, d^{2} x^{5}}"," ",0,"2/15*(15*d^2*g^2*p*e - 10*d*f*g*p*e^2 + 3*f^2*p*e^3)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/d^(5/2) - 1/15*(15*d^2*g^2*p*x^4*log(x^2*e + d) + 20*d*f*g*p*x^4*e + 15*d^2*g^2*x^4*log(c) - 6*f^2*p*x^4*e^2 + 10*d^2*f*g*p*x^2*log(x^2*e + d) + 2*d*f^2*p*x^2*e + 10*d^2*f*g*x^2*log(c) + 3*d^2*f^2*p*log(x^2*e + d) + 3*d^2*f^2*log(c))/(d^2*x^5)","A",0
337,1,222,0,0.187871," ","integrate((g*x^2+f)^2*log(c*(e*x^2+d)^p)/x^8,x, algorithm=""giac"")","-\frac{2 \, {\left(35 \, d^{2} g^{2} p e^{2} - 42 \, d f g p e^{3} + 15 \, f^{2} p e^{4}\right)} \arctan\left(\frac{x e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{105 \, d^{\frac{7}{2}}} - \frac{70 \, d^{2} g^{2} p x^{6} e - 84 \, d f g p x^{6} e^{2} + 35 \, d^{3} g^{2} p x^{4} \log\left(x^{2} e + d\right) + 30 \, f^{2} p x^{6} e^{3} + 28 \, d^{2} f g p x^{4} e + 35 \, d^{3} g^{2} x^{4} \log\left(c\right) - 10 \, d f^{2} p x^{4} e^{2} + 42 \, d^{3} f g p x^{2} \log\left(x^{2} e + d\right) + 6 \, d^{2} f^{2} p x^{2} e + 42 \, d^{3} f g x^{2} \log\left(c\right) + 15 \, d^{3} f^{2} p \log\left(x^{2} e + d\right) + 15 \, d^{3} f^{2} \log\left(c\right)}{105 \, d^{3} x^{7}}"," ",0,"-2/105*(35*d^2*g^2*p*e^2 - 42*d*f*g*p*e^3 + 15*f^2*p*e^4)*arctan(x*e^(1/2)/sqrt(d))*e^(-1/2)/d^(7/2) - 1/105*(70*d^2*g^2*p*x^6*e - 84*d*f*g*p*x^6*e^2 + 35*d^3*g^2*p*x^4*log(x^2*e + d) + 30*f^2*p*x^6*e^3 + 28*d^2*f*g*p*x^4*e + 35*d^3*g^2*x^4*log(c) - 10*d*f^2*p*x^4*e^2 + 42*d^3*f*g*p*x^2*log(x^2*e + d) + 6*d^2*f^2*p*x^2*e + 42*d^3*f*g*x^2*log(c) + 15*d^3*f^2*p*log(x^2*e + d) + 15*d^3*f^2*log(c))/(d^3*x^7)","A",0
338,0,0,0,0.000000," ","integrate(x^5*log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{x^{5} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(x^5*log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
339,0,0,0,0.000000," ","integrate(x^3*log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(x^3*log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
340,0,0,0,0.000000," ","integrate(x*log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{x \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(x*log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
341,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)} x}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)*x), x)","F",0
342,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x^3/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)} x^{3}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)*x^3), x)","F",0
343,0,0,0,0.000000," ","integrate(x^4*log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{x^{4} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(x^4*log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
344,0,0,0,0.000000," ","integrate(x^2*log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(x^2*log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
345,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{g x^{2} + f}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^2 + f), x)","F",0
346,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x^2/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)} x^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)*x^2), x)","F",0
347,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x^4/(g*x^2+f),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)} x^{4}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)*x^4), x)","F",0
348,0,0,0,0.000000," ","integrate(x^5*log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{x^{5} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(x^5*log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
349,0,0,0,0.000000," ","integrate(x^3*log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{x^{3} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(x^3*log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
350,1,182,0,0.211198," ","integrate(x*log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","-\frac{{\left(x^{2} e + d\right)} g p e \log\left(x^{2} e + d\right) - {\left(x^{2} e + d\right)} g p e \log\left({\left(x^{2} e + d\right)} g - d g + f e\right) + d g p e \log\left({\left(x^{2} e + d\right)} g - d g + f e\right) - f p e^{2} \log\left({\left(x^{2} e + d\right)} g - d g + f e\right) + d g e \log\left(c\right) - f e^{2} \log\left(c\right)}{2 \, {\left({\left(x^{2} e + d\right)} d g^{3} - d^{2} g^{3} - {\left(x^{2} e + d\right)} f g^{2} e + 2 \, d f g^{2} e - f^{2} g e^{2}\right)}}"," ",0,"-1/2*((x^2*e + d)*g*p*e*log(x^2*e + d) - (x^2*e + d)*g*p*e*log((x^2*e + d)*g - d*g + f*e) + d*g*p*e*log((x^2*e + d)*g - d*g + f*e) - f*p*e^2*log((x^2*e + d)*g - d*g + f*e) + d*g*e*log(c) - f*e^2*log(c))/((x^2*e + d)*d*g^3 - d^2*g^3 - (x^2*e + d)*f*g^2*e + 2*d*f*g^2*e - f^2*g*e^2)","B",0
351,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2} x}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)^2*x), x)","F",0
352,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x^3/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)^2*x^3), x)","F",0
353,0,0,0,0.000000," ","integrate(x^4*log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{x^{4} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(x^4*log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
354,0,0,0,0.000000," ","integrate(x^2*log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{x^{2} \log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(x^2*log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
355,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/(g*x^2 + f)^2, x)","F",0
356,0,0,0,0.000000," ","integrate(log(c*(e*x^2+d)^p)/x^2/(g*x^2+f)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{2} + d\right)}^{p} c\right)}{{\left(g x^{2} + f\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate(log((e*x^2 + d)^p*c)/((g*x^2 + f)^2*x^2), x)","F",0
357,0,0,0,0.000000," ","integrate(log(c*(b*x^2+a)^n)/(b*x^2+a),x, algorithm=""giac"")","\int \frac{\log\left({\left(b x^{2} + a\right)}^{n} c\right)}{b x^{2} + a}\,{d x}"," ",0,"integrate(log((b*x^2 + a)^n*c)/(b*x^2 + a), x)","F",0
358,0,0,0,0.000000," ","integrate(log(-x^2+1)/(-x^2+2),x, algorithm=""giac"")","\int -\frac{\log\left(-x^{2} + 1\right)}{x^{2} - 2}\,{d x}"," ",0,"integrate(-log(-x^2 + 1)/(x^2 - 2), x)","F",0
359,0,0,0,0.000000," ","integrate(log(e*x^2+d)/(-x^2+1),x, algorithm=""giac"")","\int -\frac{\log\left(e x^{2} + d\right)}{x^{2} - 1}\,{d x}"," ",0,"integrate(-log(e*x^2 + d)/(x^2 - 1), x)","F",0
360,0,0,0,0.000000," ","integrate((f+g*x^(3*n))*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{3 \, n} + f\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^(3*n) + f)*log((e*x^n + d)^p*c)/x, x)","F",0
361,0,0,0,0.000000," ","integrate((f+g*x^(2*n))*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{2 \, n} + f\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^(2*n) + f)*log((e*x^n + d)^p*c)/x, x)","F",0
362,0,0,0,0.000000," ","integrate((f+g*x^n)*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{n} + f\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^n + f)*log((e*x^n + d)^p*c)/x, x)","F",0
363,0,0,0,0.000000," ","integrate((f+g/(x^n))*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{n}}\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((f + g/x^n)*log((e*x^n + d)^p*c)/x, x)","F",0
364,0,0,0,0.000000," ","integrate((f+g/(x^(2*n)))*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{2 \, n}}\right)} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((f + g/x^(2*n))*log((e*x^n + d)^p*c)/x, x)","F",0
365,0,0,0,0.000000," ","integrate((f+g*x^(3*n))^2*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{3 \, n} + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^(3*n) + f)^2*log((e*x^n + d)^p*c)/x, x)","F",0
366,0,0,0,0.000000," ","integrate((f+g*x^(2*n))^2*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{2 \, n} + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^(2*n) + f)^2*log((e*x^n + d)^p*c)/x, x)","F",0
367,0,0,0,0.000000," ","integrate((f+g*x^n)^2*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{n} + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((g*x^n + f)^2*log((e*x^n + d)^p*c)/x, x)","F",0
368,0,0,0,0.000000," ","integrate((f+g/(x^n))^2*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{n}}\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((f + g/x^n)^2*log((e*x^n + d)^p*c)/x, x)","F",0
369,0,0,0,0.000000," ","integrate((f+g/(x^(2*n)))^2*log(c*(d+e*x^n)^p)/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{2 \, n}}\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)}{x}\,{d x}"," ",0,"integrate((f + g/x^(2*n))^2*log((e*x^n + d)^p*c)/x, x)","F",0
370,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g*x^(2*n)),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x^{2 \, n} + f\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((g*x^(2*n) + f)*x), x)","F",0
371,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g*x^n),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x^{n} + f\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((g*x^n + f)*x), x)","F",0
372,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g/(x^n)),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(f + \frac{g}{x^{n}}\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((f + g/x^n)*x), x)","F",0
373,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g/(x^(2*n))),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(f + \frac{g}{x^{2 \, n}}\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((f + g/x^(2*n))*x), x)","F",0
374,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g*x^(2*n))^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x^{2 \, n} + f\right)}^{2} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((g*x^(2*n) + f)^2*x), x)","F",0
375,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g*x^n)^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(g x^{n} + f\right)}^{2} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((g*x^n + f)^2*x), x)","F",0
376,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g/(x^n))^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(f + \frac{g}{x^{n}}\right)}^{2} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((f + g/x^n)^2*x), x)","F",0
377,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)/x/(f+g/(x^(2*n)))^2,x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)}{{\left(f + \frac{g}{x^{2 \, n}}\right)}^{2} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)/((f + g/x^(2*n))^2*x), x)","F",0
378,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n))/x/(c*e+(c*d-1)/(x^n)),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)} c\right)}{{\left(c e + \frac{c d - 1}{x^{n}}\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)*c)/((c*e + (c*d - 1)/x^n)*x), x)","F",0
379,0,0,0,0.000000," ","integrate(x^(-1+n)*log(c*(d+e*x^n))/(-1+c*d+c*e*x^n),x, algorithm=""giac"")","\int \frac{x^{n - 1} \log\left({\left(e x^{n} + d\right)} c\right)}{c e x^{n} + c d - 1}\,{d x}"," ",0,"integrate(x^(n - 1)*log((e*x^n + d)*c)/(c*e*x^n + c*d - 1), x)","F",0
380,0,0,0,0.000000," ","integrate(log(c*(d+e/(x^n)))/x/(c*e-(-c*d+1)*x^n),x, algorithm=""giac"")","\int \frac{\log\left(c {\left(d + \frac{e}{x^{n}}\right)}\right)}{{\left(c e + {\left(c d - 1\right)} x^{n}\right)} x}\,{d x}"," ",0,"integrate(log(c*(d + e/x^n))/((c*e + (c*d - 1)*x^n)*x), x)","F",0
381,0,0,0,0.000000," ","integrate((f+g*x^(2*n))^2*log(c*(d+e*x^n)^p)^q/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{2 \, n} + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{x}\,{d x}"," ",0,"integrate((g*x^(2*n) + f)^2*log((e*x^n + d)^p*c)^q/x, x)","F",0
382,0,0,0,0.000000," ","integrate((f+g*x^n)^2*log(c*(d+e*x^n)^p)^q/x,x, algorithm=""giac"")","\int \frac{{\left(g x^{n} + f\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{x}\,{d x}"," ",0,"integrate((g*x^n + f)^2*log((e*x^n + d)^p*c)^q/x, x)","F",0
383,0,0,0,0.000000," ","integrate((f+g/(x^n))^2*log(c*(d+e*x^n)^p)^q/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{n}}\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{x}\,{d x}"," ",0,"integrate((f + g/x^n)^2*log((e*x^n + d)^p*c)^q/x, x)","F",0
384,0,0,0,0.000000," ","integrate((f+g/(x^(2*n)))^2*log(c*(d+e*x^n)^p)^q/x,x, algorithm=""giac"")","\int \frac{{\left(f + \frac{g}{x^{2 \, n}}\right)}^{2} \log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{x}\,{d x}"," ",0,"integrate((f + g/x^(2*n))^2*log((e*x^n + d)^p*c)^q/x, x)","F",0
385,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^q/x/(f+g*x^(2*n)),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{{\left(g x^{2 \, n} + f\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^q/((g*x^(2*n) + f)*x), x)","F",0
386,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^q/x/(f+g*x^n),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{{\left(g x^{n} + f\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^q/((g*x^n + f)*x), x)","F",0
387,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^q/x/(f+g/(x^n)),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{{\left(f + \frac{g}{x^{n}}\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^q/((f + g/x^n)*x), x)","F",0
388,0,0,0,0.000000," ","integrate(log(c*(d+e*x^n)^p)^q/x/(f+g/(x^(2*n))),x, algorithm=""giac"")","\int \frac{\log\left({\left(e x^{n} + d\right)}^{p} c\right)^{q}}{{\left(f + \frac{g}{x^{2 \, n}}\right)} x}\,{d x}"," ",0,"integrate(log((e*x^n + d)^p*c)^q/((f + g/x^(2*n))*x), x)","F",0
389,0,0,0,0.000000," ","integrate(log(x)*log(d+e*x^m)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x^{m} + d\right) \log\left(x\right)}{x}\,{d x}"," ",0,"integrate(log(e*x^m + d)*log(x)/x, x)","F",0
390,1,68,0,0.266256," ","integrate(log((a+x)/x)/x,x, algorithm=""giac"")","-\frac{a^{3} {\left(\frac{1}{\frac{a + x}{x} - 1} - \log\left(\frac{{\left| a + x \right|}}{{\left| x \right|}}\right) + \log\left({\left| \frac{a + x}{x} - 1 \right|}\right)\right)} + \frac{a^{3} \log\left(\frac{a + x}{x}\right)}{{\left(\frac{a + x}{x} - 1\right)}^{2}}}{2 \, a^{2}}"," ",0,"-1/2*(a^3*(1/((a + x)/x - 1) - log(abs(a + x)/abs(x)) + log(abs((a + x)/x - 1))) + a^3*log((a + x)/x)/((a + x)/x - 1)^2)/a^2","B",0
391,0,0,0,0.000000," ","integrate(log((x^2+a)/x^2)/x,x, algorithm=""giac"")","\int \frac{\log\left(\frac{x^{2} + a}{x^{2}}\right)}{x}\,{d x}"," ",0,"integrate(log((x^2 + a)/x^2)/x, x)","F",0
392,0,0,0,0.000000," ","integrate(log((a+x^n)/(x^n))/x,x, algorithm=""giac"")","\int \frac{\log\left(\frac{a + x^{n}}{x^{n}}\right)}{x}\,{d x}"," ",0,"integrate(log((a + x^n)/x^n)/x, x)","F",0
393,1,204,0,0.660210," ","integrate(log((b*x+a)/x)/x,x, algorithm=""giac"")","\frac{a^{3} {\left(\frac{\log\left(\frac{{\left| b x + a \right|}}{{\left| x \right|}}\right)}{b^{2}} - \frac{\log\left({\left| -b + \frac{b x + a}{x} \right|}\right)}{b^{2}} + \frac{1}{{\left(b - \frac{b x + a}{x}\right)} b}\right)} - \frac{a^{3} \log\left(-{\left(a - \frac{b}{\frac{{\left(a - \frac{b}{\frac{b}{a} - \frac{b x + a}{a x}}\right)} {\left(\frac{b}{a} - \frac{b x + a}{a x}\right)}}{a} + \frac{b}{a}}\right)} {\left(\frac{{\left(a - \frac{b}{\frac{b}{a} - \frac{b x + a}{a x}}\right)} {\left(\frac{b}{a} - \frac{b x + a}{a x}\right)}}{a} + \frac{b}{a}\right)}\right)}{{\left(b - \frac{b x + a}{x}\right)}^{2}}}{2 \, a^{2}}"," ",0,"1/2*(a^3*(log(abs(b*x + a)/abs(x))/b^2 - log(abs(-b + (b*x + a)/x))/b^2 + 1/((b - (b*x + a)/x)*b)) - a^3*log(-(a - b/((a - b/(b/a - (b*x + a)/(a*x)))*(b/a - (b*x + a)/(a*x))/a + b/a))*((a - b/(b/a - (b*x + a)/(a*x)))*(b/a - (b*x + a)/(a*x))/a + b/a))/(b - (b*x + a)/x)^2)/a^2","B",0
394,0,0,0,0.000000," ","integrate(log((b*x^2+a)/x^2)/x,x, algorithm=""giac"")","\int \frac{\log\left(\frac{b x^{2} + a}{x^{2}}\right)}{x}\,{d x}"," ",0,"integrate(log((b*x^2 + a)/x^2)/x, x)","F",0
395,0,0,0,0.000000," ","integrate(log((a+b*x^n)/(x^n))/x,x, algorithm=""giac"")","\int \frac{\log\left(\frac{b x^{n} + a}{x^{n}}\right)}{x}\,{d x}"," ",0,"integrate(log((b*x^n + a)/x^n)/x, x)","F",0
396,0,0,0,0.000000," ","integrate(log((b*x+a)/x)/(d*x+c),x, algorithm=""giac"")","\int \frac{\log\left(\frac{b x + a}{x}\right)}{d x + c}\,{d x}"," ",0,"integrate(log((b*x + a)/x)/(d*x + c), x)","F",0
397,0,0,0,0.000000," ","integrate(log((b*x^2+a)/x^2)/(d*x+c),x, algorithm=""giac"")","\int \frac{\log\left(\frac{b x^{2} + a}{x^{2}}\right)}{d x + c}\,{d x}"," ",0,"integrate(log((b*x^2 + a)/x^2)/(d*x + c), x)","F",0
398,0,0,0,0.000000," ","integrate(log((a+b*x^n)/(x^n))/(d*x+c),x, algorithm=""giac"")","\int \frac{\log\left(\frac{b x^{n} + a}{x^{n}}\right)}{d x + c}\,{d x}"," ",0,"integrate(log((b*x^n + a)/x^n)/(d*x + c), x)","F",0
399,0,0,0,0.000000," ","integrate((f*x)^q*(a+b*log(c*(d+e*x^m)^n)),x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a\right)} \left(f x\right)^{q}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)*(f*x)^q, x)","F",0
400,1,357,0,0.198000," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{3360} \, {\left(840 \, b x^{4} e \log\left(c\right) + 840 \, a x^{4} e + {\left(840 \, {\left(\sqrt{x} e + d\right)}^{8} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) - 6720 \, {\left(\sqrt{x} e + d\right)}^{7} d e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) + 23520 \, {\left(\sqrt{x} e + d\right)}^{6} d^{2} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) - 47040 \, {\left(\sqrt{x} e + d\right)}^{5} d^{3} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) + 58800 \, {\left(\sqrt{x} e + d\right)}^{4} d^{4} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) - 47040 \, {\left(\sqrt{x} e + d\right)}^{3} d^{5} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) + 23520 \, {\left(\sqrt{x} e + d\right)}^{2} d^{6} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) - 6720 \, {\left(\sqrt{x} e + d\right)} d^{7} e^{\left(-7\right)} \log\left(\sqrt{x} e + d\right) - 105 \, {\left(\sqrt{x} e + d\right)}^{8} e^{\left(-7\right)} + 960 \, {\left(\sqrt{x} e + d\right)}^{7} d e^{\left(-7\right)} - 3920 \, {\left(\sqrt{x} e + d\right)}^{6} d^{2} e^{\left(-7\right)} + 9408 \, {\left(\sqrt{x} e + d\right)}^{5} d^{3} e^{\left(-7\right)} - 14700 \, {\left(\sqrt{x} e + d\right)}^{4} d^{4} e^{\left(-7\right)} + 15680 \, {\left(\sqrt{x} e + d\right)}^{3} d^{5} e^{\left(-7\right)} - 11760 \, {\left(\sqrt{x} e + d\right)}^{2} d^{6} e^{\left(-7\right)} + 6720 \, {\left(\sqrt{x} e + d\right)} d^{7} e^{\left(-7\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/3360*(840*b*x^4*e*log(c) + 840*a*x^4*e + (840*(sqrt(x)*e + d)^8*e^(-7)*log(sqrt(x)*e + d) - 6720*(sqrt(x)*e + d)^7*d*e^(-7)*log(sqrt(x)*e + d) + 23520*(sqrt(x)*e + d)^6*d^2*e^(-7)*log(sqrt(x)*e + d) - 47040*(sqrt(x)*e + d)^5*d^3*e^(-7)*log(sqrt(x)*e + d) + 58800*(sqrt(x)*e + d)^4*d^4*e^(-7)*log(sqrt(x)*e + d) - 47040*(sqrt(x)*e + d)^3*d^5*e^(-7)*log(sqrt(x)*e + d) + 23520*(sqrt(x)*e + d)^2*d^6*e^(-7)*log(sqrt(x)*e + d) - 6720*(sqrt(x)*e + d)*d^7*e^(-7)*log(sqrt(x)*e + d) - 105*(sqrt(x)*e + d)^8*e^(-7) + 960*(sqrt(x)*e + d)^7*d*e^(-7) - 3920*(sqrt(x)*e + d)^6*d^2*e^(-7) + 9408*(sqrt(x)*e + d)^5*d^3*e^(-7) - 14700*(sqrt(x)*e + d)^4*d^4*e^(-7) + 15680*(sqrt(x)*e + d)^3*d^5*e^(-7) - 11760*(sqrt(x)*e + d)^2*d^6*e^(-7) + 6720*(sqrt(x)*e + d)*d^7*e^(-7))*b*n)*e^(-1)","B",0
401,1,271,0,0.208070," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{180} \, {\left(60 \, b x^{3} e \log\left(c\right) + 60 \, a x^{3} e + {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/180*(60*b*x^3*e*log(c) + 60*a*x^3*e + (60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*b*n)*e^(-1)","B",0
402,1,185,0,0.199038," ","integrate(x*(a+b*log(c*(d+e*x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{24} \, {\left(12 \, b x^{2} e \log\left(c\right) + 12 \, a x^{2} e + {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/24*(12*b*x^2*e*log(c) + 12*a*x^2*e + (12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*b*n)*e^(-1)","B",0
403,1,107,0,0.166483," ","integrate(a+b*log(c*(d+e*x^(1/2))^n),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} n e^{\left(-1\right)} + 2 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} e^{\left(-1\right)} \log\left(c\right)\right)} b e^{\left(-1\right)} + a x"," ",0,"1/2*((2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*n*e^(-1) + 2*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*e^(-1)*log(c))*b*e^(-1) + a*x","B",0
404,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a}{x}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)/x, x)","F",0
405,1,187,0,0.183770," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))/x^2,x, algorithm=""giac"")","\frac{{\left({\left(\sqrt{x} e + d\right)}^{2} b n e^{3} \log\left(\sqrt{x} e + d\right) - 2 \, {\left(\sqrt{x} e + d\right)} b d n e^{3} \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} b n e^{3} \log\left(\sqrt{x} e\right) + 2 \, {\left(\sqrt{x} e + d\right)} b d n e^{3} \log\left(\sqrt{x} e\right) - b d^{2} n e^{3} \log\left(\sqrt{x} e\right) - {\left(\sqrt{x} e + d\right)} b d n e^{3} + b d^{2} n e^{3} - b d^{2} e^{3} \log\left(c\right) - a d^{2} e^{3}\right)} e^{\left(-1\right)}}{{\left(\sqrt{x} e + d\right)}^{2} d^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d^{3} + d^{4}}"," ",0,"((sqrt(x)*e + d)^2*b*n*e^3*log(sqrt(x)*e + d) - 2*(sqrt(x)*e + d)*b*d*n*e^3*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2*b*n*e^3*log(sqrt(x)*e) + 2*(sqrt(x)*e + d)*b*d*n*e^3*log(sqrt(x)*e) - b*d^2*n*e^3*log(sqrt(x)*e) - (sqrt(x)*e + d)*b*d*n*e^3 + b*d^2*n*e^3 - b*d^2*e^3*log(c) - a*d^2*e^3)*e^(-1)/((sqrt(x)*e + d)^2*d^2 - 2*(sqrt(x)*e + d)*d^3 + d^4)","B",0
406,1,366,0,0.190550," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))/x^3,x, algorithm=""giac"")","\frac{{\left(6 \, {\left(\sqrt{x} e + d\right)}^{4} b n e^{5} \log\left(\sqrt{x} e + d\right) - 24 \, {\left(\sqrt{x} e + d\right)}^{3} b d n e^{5} \log\left(\sqrt{x} e + d\right) + 36 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{2} n e^{5} \log\left(\sqrt{x} e + d\right) - 24 \, {\left(\sqrt{x} e + d\right)} b d^{3} n e^{5} \log\left(\sqrt{x} e + d\right) - 6 \, {\left(\sqrt{x} e + d\right)}^{4} b n e^{5} \log\left(\sqrt{x} e\right) + 24 \, {\left(\sqrt{x} e + d\right)}^{3} b d n e^{5} \log\left(\sqrt{x} e\right) - 36 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{2} n e^{5} \log\left(\sqrt{x} e\right) + 24 \, {\left(\sqrt{x} e + d\right)} b d^{3} n e^{5} \log\left(\sqrt{x} e\right) - 6 \, b d^{4} n e^{5} \log\left(\sqrt{x} e\right) - 6 \, {\left(\sqrt{x} e + d\right)}^{3} b d n e^{5} + 21 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{2} n e^{5} - 26 \, {\left(\sqrt{x} e + d\right)} b d^{3} n e^{5} + 11 \, b d^{4} n e^{5} - 6 \, b d^{4} e^{5} \log\left(c\right) - 6 \, a d^{4} e^{5}\right)} e^{\left(-1\right)}}{12 \, {\left({\left(\sqrt{x} e + d\right)}^{4} d^{4} - 4 \, {\left(\sqrt{x} e + d\right)}^{3} d^{5} + 6 \, {\left(\sqrt{x} e + d\right)}^{2} d^{6} - 4 \, {\left(\sqrt{x} e + d\right)} d^{7} + d^{8}\right)}}"," ",0,"1/12*(6*(sqrt(x)*e + d)^4*b*n*e^5*log(sqrt(x)*e + d) - 24*(sqrt(x)*e + d)^3*b*d*n*e^5*log(sqrt(x)*e + d) + 36*(sqrt(x)*e + d)^2*b*d^2*n*e^5*log(sqrt(x)*e + d) - 24*(sqrt(x)*e + d)*b*d^3*n*e^5*log(sqrt(x)*e + d) - 6*(sqrt(x)*e + d)^4*b*n*e^5*log(sqrt(x)*e) + 24*(sqrt(x)*e + d)^3*b*d*n*e^5*log(sqrt(x)*e) - 36*(sqrt(x)*e + d)^2*b*d^2*n*e^5*log(sqrt(x)*e) + 24*(sqrt(x)*e + d)*b*d^3*n*e^5*log(sqrt(x)*e) - 6*b*d^4*n*e^5*log(sqrt(x)*e) - 6*(sqrt(x)*e + d)^3*b*d*n*e^5 + 21*(sqrt(x)*e + d)^2*b*d^2*n*e^5 - 26*(sqrt(x)*e + d)*b*d^3*n*e^5 + 11*b*d^4*n*e^5 - 6*b*d^4*e^5*log(c) - 6*a*d^4*e^5)*e^(-1)/((sqrt(x)*e + d)^4*d^4 - 4*(sqrt(x)*e + d)^3*d^5 + 6*(sqrt(x)*e + d)^2*d^6 - 4*(sqrt(x)*e + d)*d^7 + d^8)","B",0
407,1,542,0,0.207634," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))/x^4,x, algorithm=""giac"")","\frac{{\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} b n e^{7} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} b d n e^{7} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} b d^{2} n e^{7} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} b d^{3} n e^{7} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{4} n e^{7} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} b d^{5} n e^{7} \log\left(\sqrt{x} e + d\right) - 60 \, {\left(\sqrt{x} e + d\right)}^{6} b n e^{7} \log\left(\sqrt{x} e\right) + 360 \, {\left(\sqrt{x} e + d\right)}^{5} b d n e^{7} \log\left(\sqrt{x} e\right) - 900 \, {\left(\sqrt{x} e + d\right)}^{4} b d^{2} n e^{7} \log\left(\sqrt{x} e\right) + 1200 \, {\left(\sqrt{x} e + d\right)}^{3} b d^{3} n e^{7} \log\left(\sqrt{x} e\right) - 900 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{4} n e^{7} \log\left(\sqrt{x} e\right) + 360 \, {\left(\sqrt{x} e + d\right)} b d^{5} n e^{7} \log\left(\sqrt{x} e\right) - 60 \, b d^{6} n e^{7} \log\left(\sqrt{x} e\right) - 60 \, {\left(\sqrt{x} e + d\right)}^{5} b d n e^{7} + 330 \, {\left(\sqrt{x} e + d\right)}^{4} b d^{2} n e^{7} - 740 \, {\left(\sqrt{x} e + d\right)}^{3} b d^{3} n e^{7} + 855 \, {\left(\sqrt{x} e + d\right)}^{2} b d^{4} n e^{7} - 522 \, {\left(\sqrt{x} e + d\right)} b d^{5} n e^{7} + 137 \, b d^{6} n e^{7} - 60 \, b d^{6} e^{7} \log\left(c\right) - 60 \, a d^{6} e^{7}\right)} e^{\left(-1\right)}}{180 \, {\left({\left(\sqrt{x} e + d\right)}^{6} d^{6} - 6 \, {\left(\sqrt{x} e + d\right)}^{5} d^{7} + 15 \, {\left(\sqrt{x} e + d\right)}^{4} d^{8} - 20 \, {\left(\sqrt{x} e + d\right)}^{3} d^{9} + 15 \, {\left(\sqrt{x} e + d\right)}^{2} d^{10} - 6 \, {\left(\sqrt{x} e + d\right)} d^{11} + d^{12}\right)}}"," ",0,"1/180*(60*(sqrt(x)*e + d)^6*b*n*e^7*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*b*d*n*e^7*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*b*d^2*n*e^7*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*b*d^3*n*e^7*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*b*d^4*n*e^7*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*b*d^5*n*e^7*log(sqrt(x)*e + d) - 60*(sqrt(x)*e + d)^6*b*n*e^7*log(sqrt(x)*e) + 360*(sqrt(x)*e + d)^5*b*d*n*e^7*log(sqrt(x)*e) - 900*(sqrt(x)*e + d)^4*b*d^2*n*e^7*log(sqrt(x)*e) + 1200*(sqrt(x)*e + d)^3*b*d^3*n*e^7*log(sqrt(x)*e) - 900*(sqrt(x)*e + d)^2*b*d^4*n*e^7*log(sqrt(x)*e) + 360*(sqrt(x)*e + d)*b*d^5*n*e^7*log(sqrt(x)*e) - 60*b*d^6*n*e^7*log(sqrt(x)*e) - 60*(sqrt(x)*e + d)^5*b*d*n*e^7 + 330*(sqrt(x)*e + d)^4*b*d^2*n*e^7 - 740*(sqrt(x)*e + d)^3*b*d^3*n*e^7 + 855*(sqrt(x)*e + d)^2*b*d^4*n*e^7 - 522*(sqrt(x)*e + d)*b*d^5*n*e^7 + 137*b*d^6*n*e^7 - 60*b*d^6*e^7*log(c) - 60*a*d^6*e^7)*e^(-1)/((sqrt(x)*e + d)^6*d^6 - 6*(sqrt(x)*e + d)^5*d^7 + 15*(sqrt(x)*e + d)^4*d^8 - 20*(sqrt(x)*e + d)^3*d^9 + 15*(sqrt(x)*e + d)^2*d^10 - 6*(sqrt(x)*e + d)*d^11 + d^12)","B",0
408,1,956,0,0.246075," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/2))^n))^2,x, algorithm=""giac"")","\frac{1}{5400} \, {\left(1800 \, b^{2} x^{3} e \log\left(c\right)^{2} + 3600 \, a b x^{3} e \log\left(c\right) + 1800 \, a^{2} x^{3} e + {\left(1800 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 600 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 4320 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 13500 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 24000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 100 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n^{2} + 60 \, {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n \log\left(c\right) + 60 \, {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b n\right)} e^{\left(-1\right)}"," ",0,"1/5400*(1800*b^2*x^3*e*log(c)^2 + 3600*a*b*x^3*e*log(c) + 1800*a^2*x^3*e + (1800*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d)^2 - 36000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d)^2 - 600*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) + 4320*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) - 13500*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) + 24000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) - 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) + 21600*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) + 100*(sqrt(x)*e + d)^6*e^(-5) - 864*(sqrt(x)*e + d)^5*d*e^(-5) + 3375*(sqrt(x)*e + d)^4*d^2*e^(-5) - 8000*(sqrt(x)*e + d)^3*d^3*e^(-5) + 13500*(sqrt(x)*e + d)^2*d^4*e^(-5) - 21600*(sqrt(x)*e + d)*d^5*e^(-5))*b^2*n^2 + 60*(60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*b^2*n*log(c) + 60*(60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*a*b*n)*e^(-1)","B",0
409,1,642,0,0.252083," ","integrate(x*(a+b*log(c*(d+e*x^(1/2))^n))^2,x, algorithm=""giac"")","\frac{1}{144} \, {\left(72 \, b^{2} x^{2} e \log\left(c\right)^{2} + 144 \, a b x^{2} e \log\left(c\right) + {\left(72 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 192 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 9 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} - 64 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} + 216 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} - 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b^{2} n^{2} + 72 \, a^{2} x^{2} e + 12 \, {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b^{2} n \log\left(c\right) + 12 \, {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} a b n\right)} e^{\left(-1\right)}"," ",0,"1/144*(72*b^2*x^2*e*log(c)^2 + 144*a*b*x^2*e*log(c) + (72*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d)^2 + 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d)^2 - 36*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) + 192*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) - 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) + 576*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) + 9*(sqrt(x)*e + d)^4*e^(-3) - 64*(sqrt(x)*e + d)^3*d*e^(-3) + 216*(sqrt(x)*e + d)^2*d^2*e^(-3) - 576*(sqrt(x)*e + d)*d^3*e^(-3))*b^2*n^2 + 72*a^2*x^2*e + 12*(12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*b^2*n*log(c) + 12*(12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*a*b*n)*e^(-1)","B",0
410,1,361,0,0.191391," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right)^{2} - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right)^{2} - 2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) + 8 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) + {\left(\sqrt{x} e + d\right)}^{2} - 8 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{2} n^{2} e^{\left(-1\right)} + 2 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{2} n e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} + 2 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} a b n e^{\left(-1\right)} + 4 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} a b e^{\left(-1\right)} \log\left(c\right) + 2 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} a^{2} e^{\left(-1\right)}\right)} e^{\left(-1\right)}"," ",0,"1/2*((2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d)^2 - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) + 8*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) + (sqrt(x)*e + d)^2 - 8*(sqrt(x)*e + d)*d)*b^2*n^2*e^(-1) + 2*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*b^2*n*e^(-1)*log(c) + 2*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*b^2*e^(-1)*log(c)^2 + 2*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*a*b*n*e^(-1) + 4*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*a*b*e^(-1)*log(c) + 2*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*a^2*e^(-1))*e^(-1)","B",0
411,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^2/x, x)","F",0
412,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^2/x^2, x)","F",0
413,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^2/x^3, x)","F",0
414,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^2/x^4, x)","F",0
415,1,2223,0,0.356342," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/2))^n))^3,x, algorithm=""giac"")","\frac{1}{108000} \, {\left(36000 \, b^{3} x^{3} e \log\left(c\right)^{3} + 108000 \, a b^{2} x^{3} e \log\left(c\right)^{2} + 108000 \, a^{2} b x^{3} e \log\left(c\right) + {\left(36000 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} - 216000 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} + 540000 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} - 720000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} + 540000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} - 216000 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{3} - 18000 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 129600 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 405000 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 720000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 810000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 648000 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 6000 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 51840 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 202500 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 480000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 810000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1296000 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1000 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 10368 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 50625 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 160000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 405000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 1296000 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{3} + 36000 \, a^{3} x^{3} e + 60 \, {\left(1800 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 600 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 4320 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 13500 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 24000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 100 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{2} \log\left(c\right) + 1800 \, {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n \log\left(c\right)^{2} + 60 \, {\left(1800 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} + 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 10800 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right)^{2} - 600 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 4320 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 13500 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 24000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 27000 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 100 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n^{2} + 3600 \, {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n \log\left(c\right) + 1800 \, {\left(60 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 1200 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) + 900 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(\sqrt{x} e + d\right) - 10 \, {\left(\sqrt{x} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(\sqrt{x} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(\sqrt{x} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(\sqrt{x} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(\sqrt{x} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(\sqrt{x} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a^{2} b n\right)} e^{\left(-1\right)}"," ",0,"1/108000*(36000*b^3*x^3*e*log(c)^3 + 108000*a*b^2*x^3*e*log(c)^2 + 108000*a^2*b*x^3*e*log(c) + (36000*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d)^3 - 216000*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d)^3 + 540000*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d)^3 - 720000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d)^3 + 540000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d)^3 - 216000*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d)^3 - 18000*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d)^2 + 129600*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d)^2 - 405000*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d)^2 + 720000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d)^2 - 810000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d)^2 + 648000*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d)^2 + 6000*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 51840*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 202500*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 480000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 810000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 1296000*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 1000*(sqrt(x)*e + d)^6*e^(-5) + 10368*(sqrt(x)*e + d)^5*d*e^(-5) - 50625*(sqrt(x)*e + d)^4*d^2*e^(-5) + 160000*(sqrt(x)*e + d)^3*d^3*e^(-5) - 405000*(sqrt(x)*e + d)^2*d^4*e^(-5) + 1296000*(sqrt(x)*e + d)*d^5*e^(-5))*b^3*n^3 + 36000*a^3*x^3*e + 60*(1800*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d)^2 - 36000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d)^2 - 600*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) + 4320*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) - 13500*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) + 24000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) - 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) + 21600*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) + 100*(sqrt(x)*e + d)^6*e^(-5) - 864*(sqrt(x)*e + d)^5*d*e^(-5) + 3375*(sqrt(x)*e + d)^4*d^2*e^(-5) - 8000*(sqrt(x)*e + d)^3*d^3*e^(-5) + 13500*(sqrt(x)*e + d)^2*d^4*e^(-5) - 21600*(sqrt(x)*e + d)*d^5*e^(-5))*b^3*n^2*log(c) + 1800*(60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*b^3*n*log(c)^2 + 60*(1800*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d)^2 - 36000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d)^2 + 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d)^2 - 10800*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d)^2 - 600*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) + 4320*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) - 13500*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) + 24000*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) - 27000*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) + 21600*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) + 100*(sqrt(x)*e + d)^6*e^(-5) - 864*(sqrt(x)*e + d)^5*d*e^(-5) + 3375*(sqrt(x)*e + d)^4*d^2*e^(-5) - 8000*(sqrt(x)*e + d)^3*d^3*e^(-5) + 13500*(sqrt(x)*e + d)^2*d^4*e^(-5) - 21600*(sqrt(x)*e + d)*d^5*e^(-5))*a*b^2*n^2 + 3600*(60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*a*b^2*n*log(c) + 1800*(60*(sqrt(x)*e + d)^6*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)^5*d*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^4*d^2*e^(-5)*log(sqrt(x)*e + d) - 1200*(sqrt(x)*e + d)^3*d^3*e^(-5)*log(sqrt(x)*e + d) + 900*(sqrt(x)*e + d)^2*d^4*e^(-5)*log(sqrt(x)*e + d) - 360*(sqrt(x)*e + d)*d^5*e^(-5)*log(sqrt(x)*e + d) - 10*(sqrt(x)*e + d)^6*e^(-5) + 72*(sqrt(x)*e + d)^5*d*e^(-5) - 225*(sqrt(x)*e + d)^4*d^2*e^(-5) + 400*(sqrt(x)*e + d)^3*d^3*e^(-5) - 450*(sqrt(x)*e + d)^2*d^4*e^(-5) + 360*(sqrt(x)*e + d)*d^5*e^(-5))*a^2*b*n)*e^(-1)","B",0
416,1,1483,0,0.303694," ","integrate(x*(a+b*log(c*(d+e*x^(1/2))^n))^3,x, algorithm=""giac"")","\frac{1}{576} \, {\left(288 \, b^{3} x^{2} e \log\left(c\right)^{3} + 864 \, a b^{2} x^{2} e \log\left(c\right)^{2} + {\left(288 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{3} - 1152 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{3} + 1728 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{3} - 1152 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{3} - 216 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 1152 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 2592 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 3456 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 108 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 768 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 2592 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 6912 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 27 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 256 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 1296 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 6912 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b^{3} n^{3} + 12 \, {\left(72 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 192 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 9 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} - 64 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} + 216 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} - 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b^{3} n^{2} \log\left(c\right) + 864 \, a^{2} b x^{2} e \log\left(c\right) + 72 \, {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} b^{3} n \log\left(c\right)^{2} + 12 \, {\left(72 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} + 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 288 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right)^{2} - 36 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 192 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 432 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 9 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} - 64 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} + 216 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} - 576 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} a b^{2} n^{2} + 288 \, a^{3} x^{2} e + 144 \, {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} a b^{2} n \log\left(c\right) + 72 \, {\left(12 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) + 72 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)} \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{4} e^{\left(-3\right)} + 16 \, {\left(\sqrt{x} e + d\right)}^{3} d e^{\left(-3\right)} - 36 \, {\left(\sqrt{x} e + d\right)}^{2} d^{2} e^{\left(-3\right)} + 48 \, {\left(\sqrt{x} e + d\right)} d^{3} e^{\left(-3\right)}\right)} a^{2} b n\right)} e^{\left(-1\right)}"," ",0,"1/576*(288*b^3*x^2*e*log(c)^3 + 864*a*b^2*x^2*e*log(c)^2 + (288*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d)^3 - 1152*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d)^3 + 1728*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d)^3 - 1152*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d)^3 - 216*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d)^2 + 1152*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d)^2 - 2592*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d)^2 + 3456*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d)^2 + 108*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 768*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 2592*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 6912*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 27*(sqrt(x)*e + d)^4*e^(-3) + 256*(sqrt(x)*e + d)^3*d*e^(-3) - 1296*(sqrt(x)*e + d)^2*d^2*e^(-3) + 6912*(sqrt(x)*e + d)*d^3*e^(-3))*b^3*n^3 + 12*(72*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d)^2 + 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d)^2 - 36*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) + 192*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) - 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) + 576*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) + 9*(sqrt(x)*e + d)^4*e^(-3) - 64*(sqrt(x)*e + d)^3*d*e^(-3) + 216*(sqrt(x)*e + d)^2*d^2*e^(-3) - 576*(sqrt(x)*e + d)*d^3*e^(-3))*b^3*n^2*log(c) + 864*a^2*b*x^2*e*log(c) + 72*(12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*b^3*n*log(c)^2 + 12*(72*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d)^2 + 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d)^2 - 288*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d)^2 - 36*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) + 192*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) - 432*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) + 576*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) + 9*(sqrt(x)*e + d)^4*e^(-3) - 64*(sqrt(x)*e + d)^3*d*e^(-3) + 216*(sqrt(x)*e + d)^2*d^2*e^(-3) - 576*(sqrt(x)*e + d)*d^3*e^(-3))*a*b^2*n^2 + 288*a^3*x^2*e + 144*(12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*a*b^2*n*log(c) + 72*(12*(sqrt(x)*e + d)^4*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)^3*d*e^(-3)*log(sqrt(x)*e + d) + 72*(sqrt(x)*e + d)^2*d^2*e^(-3)*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d^3*e^(-3)*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^4*e^(-3) + 16*(sqrt(x)*e + d)^3*d*e^(-3) - 36*(sqrt(x)*e + d)^2*d^2*e^(-3) + 48*(sqrt(x)*e + d)*d^3*e^(-3))*a^2*b*n)*e^(-1)","B",0
417,1,763,0,0.264462," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left({\left(4 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right)^{3} - 8 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right)^{3} - 6 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right)^{2} + 24 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right)^{2} + 6 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 48 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - 3 \, {\left(\sqrt{x} e + d\right)}^{2} + 48 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{3} n^{3} e^{\left(-1\right)} + 6 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right)^{2} - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right)^{2} - 2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) + 8 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) + {\left(\sqrt{x} e + d\right)}^{2} - 8 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + 6 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + 4 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} b^{3} e^{\left(-1\right)} \log\left(c\right)^{3} + 6 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right)^{2} - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right)^{2} - 2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) + 8 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) + {\left(\sqrt{x} e + d\right)}^{2} - 8 \, {\left(\sqrt{x} e + d\right)} d\right)} a b^{2} n^{2} e^{\left(-1\right)} + 12 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} a b^{2} n e^{\left(-1\right)} \log\left(c\right) + 12 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} a b^{2} e^{\left(-1\right)} \log\left(c\right)^{2} + 6 \, {\left(2 \, {\left(\sqrt{x} e + d\right)}^{2} \log\left(\sqrt{x} e + d\right) - 4 \, {\left(\sqrt{x} e + d\right)} d \log\left(\sqrt{x} e + d\right) - {\left(\sqrt{x} e + d\right)}^{2} + 4 \, {\left(\sqrt{x} e + d\right)} d\right)} a^{2} b n e^{\left(-1\right)} + 12 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} a^{2} b e^{\left(-1\right)} \log\left(c\right) + 4 \, {\left({\left(\sqrt{x} e + d\right)}^{2} - 2 \, {\left(\sqrt{x} e + d\right)} d\right)} a^{3} e^{\left(-1\right)}\right)} e^{\left(-1\right)}"," ",0,"1/4*((4*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d)^3 - 8*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d)^3 - 6*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d)^2 + 24*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d)^2 + 6*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 48*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - 3*(sqrt(x)*e + d)^2 + 48*(sqrt(x)*e + d)*d)*b^3*n^3*e^(-1) + 6*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d)^2 - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) + 8*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) + (sqrt(x)*e + d)^2 - 8*(sqrt(x)*e + d)*d)*b^3*n^2*e^(-1)*log(c) + 6*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*b^3*n*e^(-1)*log(c)^2 + 4*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*b^3*e^(-1)*log(c)^3 + 6*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d)^2 - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) + 8*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) + (sqrt(x)*e + d)^2 - 8*(sqrt(x)*e + d)*d)*a*b^2*n^2*e^(-1) + 12*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*a*b^2*n*e^(-1)*log(c) + 12*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*a*b^2*e^(-1)*log(c)^2 + 6*(2*(sqrt(x)*e + d)^2*log(sqrt(x)*e + d) - 4*(sqrt(x)*e + d)*d*log(sqrt(x)*e + d) - (sqrt(x)*e + d)^2 + 4*(sqrt(x)*e + d)*d)*a^2*b*n*e^(-1) + 12*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*a^2*b*e^(-1)*log(c) + 4*((sqrt(x)*e + d)^2 - 2*(sqrt(x)*e + d)*d)*a^3*e^(-1))*e^(-1)","B",0
418,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^3/x, x)","F",0
419,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^3/x^2, x)","F",0
420,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^n))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^n*c) + a)^3/x^3, x)","F",0
421,1,272,0,0.379547," ","integrate(x^3*(a+b*log(c*(d+e/x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} \log\left(c\right) + \frac{1}{4} \, a x^{4} - \frac{1}{1680} \, {\left({\left(\frac{420 \, \log\left(\frac{{\left| d \sqrt{x} + e \right|}}{\sqrt{{\left| x \right|}}}\right)}{d^{8}} - \frac{420 \, \log\left({\left| -d + \frac{d \sqrt{x} + e}{\sqrt{x}} \right|}\right)}{d^{8}} + \frac{1089 \, d^{7} - \frac{4683 \, {\left(d \sqrt{x} + e\right)} d^{6}}{\sqrt{x}} + \frac{9639 \, {\left(d \sqrt{x} + e\right)}^{2} d^{5}}{x} - \frac{11165 \, {\left(d \sqrt{x} + e\right)}^{3} d^{4}}{x^{\frac{3}{2}}} + \frac{7490 \, {\left(d \sqrt{x} + e\right)}^{4} d^{3}}{x^{2}} - \frac{2730 \, {\left(d \sqrt{x} + e\right)}^{5} d^{2}}{x^{\frac{5}{2}}} + \frac{420 \, {\left(d \sqrt{x} + e\right)}^{6} d}{x^{3}}}{{\left(d - \frac{d \sqrt{x} + e}{\sqrt{x}}\right)}^{7} d^{8}}\right)} e^{9} - \frac{420 \, e^{9} \log\left({\left(d e^{\left(-1\right)} - \frac{{\left(d \sqrt{x} + e\right)} e^{\left(-1\right)}}{\sqrt{x}}\right)} {\left(\frac{d}{d e^{\left(-1\right)} - \frac{{\left(d \sqrt{x} + e\right)} e^{\left(-1\right)}}{\sqrt{x}}} - e\right)}\right)}{{\left(d - \frac{d \sqrt{x} + e}{\sqrt{x}}\right)}^{8}}\right)} b n e^{\left(-1\right)}"," ",0,"1/4*b*x^4*log(c) + 1/4*a*x^4 - 1/1680*((420*log(abs(d*sqrt(x) + e)/sqrt(abs(x)))/d^8 - 420*log(abs(-d + (d*sqrt(x) + e)/sqrt(x)))/d^8 + (1089*d^7 - 4683*(d*sqrt(x) + e)*d^6/sqrt(x) + 9639*(d*sqrt(x) + e)^2*d^5/x - 11165*(d*sqrt(x) + e)^3*d^4/x^(3/2) + 7490*(d*sqrt(x) + e)^4*d^3/x^2 - 2730*(d*sqrt(x) + e)^5*d^2/x^(5/2) + 420*(d*sqrt(x) + e)^6*d/x^3)/((d - (d*sqrt(x) + e)/sqrt(x))^7*d^8))*e^9 - 420*e^9*log((d*e^(-1) - (d*sqrt(x) + e)*e^(-1)/sqrt(x))*(d/(d*e^(-1) - (d*sqrt(x) + e)*e^(-1)/sqrt(x)) - e))/(d - (d*sqrt(x) + e)/sqrt(x))^8)*b*n*e^(-1)","A",0
422,1,236,0,0.386523," ","integrate(x^2*(a+b*log(c*(d+e/x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3} - \frac{1}{180} \, {\left({\left(\frac{60 \, \log\left(\frac{{\left| d \sqrt{x} + e \right|}}{\sqrt{{\left| x \right|}}}\right)}{d^{6}} - \frac{60 \, \log\left({\left| -d + \frac{d \sqrt{x} + e}{\sqrt{x}} \right|}\right)}{d^{6}} + \frac{137 \, d^{5} - \frac{385 \, {\left(d \sqrt{x} + e\right)} d^{4}}{\sqrt{x}} + \frac{470 \, {\left(d \sqrt{x} + e\right)}^{2} d^{3}}{x} - \frac{270 \, {\left(d \sqrt{x} + e\right)}^{3} d^{2}}{x^{\frac{3}{2}}} + \frac{60 \, {\left(d \sqrt{x} + e\right)}^{4} d}{x^{2}}}{{\left(d - \frac{d \sqrt{x} + e}{\sqrt{x}}\right)}^{5} d^{6}}\right)} e^{7} - \frac{60 \, e^{7} \log\left({\left(d e^{\left(-1\right)} - \frac{{\left(d \sqrt{x} + e\right)} e^{\left(-1\right)}}{\sqrt{x}}\right)} {\left(\frac{d}{d e^{\left(-1\right)} - \frac{{\left(d \sqrt{x} + e\right)} e^{\left(-1\right)}}{\sqrt{x}}} - e\right)}\right)}{{\left(d - \frac{d \sqrt{x} + e}{\sqrt{x}}\right)}^{6}}\right)} b n e^{\left(-1\right)}"," ",0,"1/3*b*x^3*log(c) + 1/3*a*x^3 - 1/180*((60*log(abs(d*sqrt(x) + e)/sqrt(abs(x)))/d^6 - 60*log(abs(-d + (d*sqrt(x) + e)/sqrt(x)))/d^6 + (137*d^5 - 385*(d*sqrt(x) + e)*d^4/sqrt(x) + 470*(d*sqrt(x) + e)^2*d^3/x - 270*(d*sqrt(x) + e)^3*d^2/x^(3/2) + 60*(d*sqrt(x) + e)^4*d/x^2)/((d - (d*sqrt(x) + e)/sqrt(x))^5*d^6))*e^7 - 60*e^7*log((d*e^(-1) - (d*sqrt(x) + e)*e^(-1)/sqrt(x))*(d/(d*e^(-1) - (d*sqrt(x) + e)*e^(-1)/sqrt(x)) - e))/(d - (d*sqrt(x) + e)/sqrt(x))^6)*b*n*e^(-1)","B",0
423,1,81,0,0.338059," ","integrate(x*(a+b*log(c*(d+e/x^(1/2))^n)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{12} \, {\left(6 \, x^{2} \log\left(d + \frac{e}{\sqrt{x}}\right) + {\left(\frac{2 \, d^{2} x^{\frac{3}{2}} - 3 \, d x e + 6 \, \sqrt{x} e^{2}}{d^{3}} - \frac{6 \, e^{3} \log\left({\left| d \sqrt{x} + e \right|}\right)}{d^{4}}\right)} e\right)} b n + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*x^2*log(c) + 1/12*(6*x^2*log(d + e/sqrt(x)) + ((2*d^2*x^(3/2) - 3*d*x*e + 6*sqrt(x)*e^2)/d^3 - 6*e^3*log(abs(d*sqrt(x) + e))/d^4)*e)*b*n + 1/2*a*x^2","A",0
424,1,56,0,0.250990," ","integrate(a+b*log(c*(d+e/x^(1/2))^n),x, algorithm=""giac"")","-{\left({\left({\left(\frac{e \log\left({\left| d \sqrt{x} + e \right|}\right)}{d^{2}} - \frac{\sqrt{x}}{d}\right)} e - x \log\left(d + \frac{e}{\sqrt{x}}\right)\right)} n - x \log\left(c\right)\right)} b + a x"," ",0,"-(((e*log(abs(d*sqrt(x) + e))/d^2 - sqrt(x)/d)*e - x*log(d + e/sqrt(x)))*n - x*log(c))*b + a*x","A",0
425,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)/x, x)","F",0
426,1,162,0,0.222282," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))/x^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{4 \, {\left(d \sqrt{x} + e\right)} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{4 \, {\left(d \sqrt{x} + e\right)} b d n}{\sqrt{x}} + \frac{4 \, {\left(d \sqrt{x} + e\right)} b d \log\left(c\right)}{\sqrt{x}} + \frac{{\left(d \sqrt{x} + e\right)}^{2} b n}{x} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b \log\left(c\right)}{x} + \frac{4 \, {\left(d \sqrt{x} + e\right)} a d}{\sqrt{x}} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} a}{x}\right)} e^{\left(-2\right)}"," ",0,"1/2*(4*(d*sqrt(x) + e)*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 2*(d*sqrt(x) + e)^2*b*n*log((d*sqrt(x) + e)/sqrt(x))/x - 4*(d*sqrt(x) + e)*b*d*n/sqrt(x) + 4*(d*sqrt(x) + e)*b*d*log(c)/sqrt(x) + (d*sqrt(x) + e)^2*b*n/x - 2*(d*sqrt(x) + e)^2*b*log(c)/x + 4*(d*sqrt(x) + e)*a*d/sqrt(x) - 2*(d*sqrt(x) + e)^2*a/x)*e^(-2)","B",0
427,1,349,0,0.271709," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))/x^3,x, algorithm=""giac"")","\frac{1}{24} \, {\left(\frac{48 \, {\left(d \sqrt{x} + e\right)} b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{48 \, {\left(d \sqrt{x} + e\right)} b d^{3} n}{\sqrt{x}} + \frac{48 \, {\left(d \sqrt{x} + e\right)} b d^{3} \log\left(c\right)}{\sqrt{x}} + \frac{48 \, {\left(d \sqrt{x} + e\right)}^{3} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{36 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{2} n}{x} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{2} \log\left(c\right)}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{4} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{16 \, {\left(d \sqrt{x} + e\right)}^{3} b d n}{x^{\frac{3}{2}}} + \frac{48 \, {\left(d \sqrt{x} + e\right)} a d^{3}}{\sqrt{x}} + \frac{48 \, {\left(d \sqrt{x} + e\right)}^{3} b d \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{3 \, {\left(d \sqrt{x} + e\right)}^{4} b n}{x^{2}} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{2} a d^{2}}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{4} b \log\left(c\right)}{x^{2}} + \frac{48 \, {\left(d \sqrt{x} + e\right)}^{3} a d}{x^{\frac{3}{2}}} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{4} a}{x^{2}}\right)} e^{\left(-4\right)}"," ",0,"1/24*(48*(d*sqrt(x) + e)*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 72*(d*sqrt(x) + e)^2*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x - 48*(d*sqrt(x) + e)*b*d^3*n/sqrt(x) + 48*(d*sqrt(x) + e)*b*d^3*log(c)/sqrt(x) + 48*(d*sqrt(x) + e)^3*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 36*(d*sqrt(x) + e)^2*b*d^2*n/x - 72*(d*sqrt(x) + e)^2*b*d^2*log(c)/x - 12*(d*sqrt(x) + e)^4*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 16*(d*sqrt(x) + e)^3*b*d*n/x^(3/2) + 48*(d*sqrt(x) + e)*a*d^3/sqrt(x) + 48*(d*sqrt(x) + e)^3*b*d*log(c)/x^(3/2) + 3*(d*sqrt(x) + e)^4*b*n/x^2 - 72*(d*sqrt(x) + e)^2*a*d^2/x - 12*(d*sqrt(x) + e)^4*b*log(c)/x^2 + 48*(d*sqrt(x) + e)^3*a*d/x^(3/2) - 12*(d*sqrt(x) + e)^4*a/x^2)*e^(-4)","B",0
428,1,535,0,0.271501," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))/x^4,x, algorithm=""giac"")","\frac{1}{180} \, {\left(\frac{360 \, {\left(d \sqrt{x} + e\right)} b d^{5} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{4} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{360 \, {\left(d \sqrt{x} + e\right)} b d^{5} n}{\sqrt{x}} + \frac{360 \, {\left(d \sqrt{x} + e\right)} b d^{5} \log\left(c\right)}{\sqrt{x}} + \frac{1200 \, {\left(d \sqrt{x} + e\right)}^{3} b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{450 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{4} n}{x} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{2} b d^{4} \log\left(c\right)}{x} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{4} b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{400 \, {\left(d \sqrt{x} + e\right)}^{3} b d^{3} n}{x^{\frac{3}{2}}} + \frac{360 \, {\left(d \sqrt{x} + e\right)} a d^{5}}{\sqrt{x}} + \frac{1200 \, {\left(d \sqrt{x} + e\right)}^{3} b d^{3} \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{360 \, {\left(d \sqrt{x} + e\right)}^{5} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{225 \, {\left(d \sqrt{x} + e\right)}^{4} b d^{2} n}{x^{2}} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{2} a d^{4}}{x} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{4} b d^{2} \log\left(c\right)}{x^{2}} - \frac{60 \, {\left(d \sqrt{x} + e\right)}^{6} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{5} b d n}{x^{\frac{5}{2}}} + \frac{1200 \, {\left(d \sqrt{x} + e\right)}^{3} a d^{3}}{x^{\frac{3}{2}}} + \frac{360 \, {\left(d \sqrt{x} + e\right)}^{5} b d \log\left(c\right)}{x^{\frac{5}{2}}} + \frac{10 \, {\left(d \sqrt{x} + e\right)}^{6} b n}{x^{3}} - \frac{900 \, {\left(d \sqrt{x} + e\right)}^{4} a d^{2}}{x^{2}} - \frac{60 \, {\left(d \sqrt{x} + e\right)}^{6} b \log\left(c\right)}{x^{3}} + \frac{360 \, {\left(d \sqrt{x} + e\right)}^{5} a d}{x^{\frac{5}{2}}} - \frac{60 \, {\left(d \sqrt{x} + e\right)}^{6} a}{x^{3}}\right)} e^{\left(-6\right)}"," ",0,"1/180*(360*(d*sqrt(x) + e)*b*d^5*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 900*(d*sqrt(x) + e)^2*b*d^4*n*log((d*sqrt(x) + e)/sqrt(x))/x - 360*(d*sqrt(x) + e)*b*d^5*n/sqrt(x) + 360*(d*sqrt(x) + e)*b*d^5*log(c)/sqrt(x) + 1200*(d*sqrt(x) + e)^3*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 450*(d*sqrt(x) + e)^2*b*d^4*n/x - 900*(d*sqrt(x) + e)^2*b*d^4*log(c)/x - 900*(d*sqrt(x) + e)^4*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 400*(d*sqrt(x) + e)^3*b*d^3*n/x^(3/2) + 360*(d*sqrt(x) + e)*a*d^5/sqrt(x) + 1200*(d*sqrt(x) + e)^3*b*d^3*log(c)/x^(3/2) + 360*(d*sqrt(x) + e)^5*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 225*(d*sqrt(x) + e)^4*b*d^2*n/x^2 - 900*(d*sqrt(x) + e)^2*a*d^4/x - 900*(d*sqrt(x) + e)^4*b*d^2*log(c)/x^2 - 60*(d*sqrt(x) + e)^6*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 72*(d*sqrt(x) + e)^5*b*d*n/x^(5/2) + 1200*(d*sqrt(x) + e)^3*a*d^3/x^(3/2) + 360*(d*sqrt(x) + e)^5*b*d*log(c)/x^(5/2) + 10*(d*sqrt(x) + e)^6*b*n/x^3 - 900*(d*sqrt(x) + e)^4*a*d^2/x^2 - 60*(d*sqrt(x) + e)^6*b*log(c)/x^3 + 360*(d*sqrt(x) + e)^5*a*d/x^(5/2) - 60*(d*sqrt(x) + e)^6*a/x^3)*e^(-6)","B",0
429,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(1/2))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^2*x^2, x)","F",0
430,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/2))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^2*x, x)","F",0
431,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^2, x)","F",0
432,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^2/x, x)","F",0
433,1,503,0,0.405781," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^2/x^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{4 \, {\left(d \sqrt{x} + e\right)} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{8 \, {\left(d \sqrt{x} + e\right)} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{8 \, {\left(d \sqrt{x} + e\right)} b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{8 \, {\left(d \sqrt{x} + e\right)} b^{2} d n^{2}}{\sqrt{x}} - \frac{8 \, {\left(d \sqrt{x} + e\right)} b^{2} d n \log\left(c\right)}{\sqrt{x}} + \frac{4 \, {\left(d \sqrt{x} + e\right)} b^{2} d \log\left(c\right)^{2}}{\sqrt{x}} + \frac{8 \, {\left(d \sqrt{x} + e\right)} a b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{{\left(d \sqrt{x} + e\right)}^{2} b^{2} n^{2}}{x} + \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} n \log\left(c\right)}{x} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} \log\left(c\right)^{2}}{x} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} a b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{8 \, {\left(d \sqrt{x} + e\right)} a b d n}{\sqrt{x}} + \frac{8 \, {\left(d \sqrt{x} + e\right)} a b d \log\left(c\right)}{\sqrt{x}} + \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} a b n}{x} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} a b \log\left(c\right)}{x} + \frac{4 \, {\left(d \sqrt{x} + e\right)} a^{2} d}{\sqrt{x}} - \frac{2 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2}}{x}\right)} e^{\left(-2\right)}"," ",0,"1/2*(4*(d*sqrt(x) + e)*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) - 2*(d*sqrt(x) + e)^2*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 8*(d*sqrt(x) + e)*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 8*(d*sqrt(x) + e)*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 2*(d*sqrt(x) + e)^2*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x - 4*(d*sqrt(x) + e)^2*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x + 8*(d*sqrt(x) + e)*b^2*d*n^2/sqrt(x) - 8*(d*sqrt(x) + e)*b^2*d*n*log(c)/sqrt(x) + 4*(d*sqrt(x) + e)*b^2*d*log(c)^2/sqrt(x) + 8*(d*sqrt(x) + e)*a*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - (d*sqrt(x) + e)^2*b^2*n^2/x + 2*(d*sqrt(x) + e)^2*b^2*n*log(c)/x - 2*(d*sqrt(x) + e)^2*b^2*log(c)^2/x - 4*(d*sqrt(x) + e)^2*a*b*n*log((d*sqrt(x) + e)/sqrt(x))/x - 8*(d*sqrt(x) + e)*a*b*d*n/sqrt(x) + 8*(d*sqrt(x) + e)*a*b*d*log(c)/sqrt(x) + 2*(d*sqrt(x) + e)^2*a*b*n/x - 4*(d*sqrt(x) + e)^2*a*b*log(c)/x + 4*(d*sqrt(x) + e)*a^2*d/sqrt(x) - 2*(d*sqrt(x) + e)^2*a^2/x)*e^(-2)","B",0
434,1,1071,0,0.439095," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^2/x^3,x, algorithm=""giac"")","\frac{1}{144} \, {\left(\frac{288 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} - \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{576 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{576 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{288 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} + \frac{576 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} n^{2}}{\sqrt{x}} - \frac{576 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} n \log\left(c\right)}{\sqrt{x}} + \frac{288 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{3} \log\left(c\right)^{2}}{\sqrt{x}} - \frac{192 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{576 \, {\left(d \sqrt{x} + e\right)} a b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{576 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{216 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} n^{2}}{x} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} n \log\left(c\right)}{x} - \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{2} \log\left(c\right)^{2}}{x} + \frac{36 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{144 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} + \frac{64 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d n^{2}}{x^{\frac{3}{2}}} - \frac{576 \, {\left(d \sqrt{x} + e\right)} a b d^{3} n}{\sqrt{x}} - \frac{192 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d n \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{576 \, {\left(d \sqrt{x} + e\right)} a b d^{3} \log\left(c\right)}{\sqrt{x}} + \frac{288 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d \log\left(c\right)^{2}}{x^{\frac{3}{2}}} + \frac{576 \, {\left(d \sqrt{x} + e\right)}^{3} a b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{9 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} n^{2}}{x^{2}} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{2} n}{x} + \frac{36 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} n \log\left(c\right)}{x^{2}} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{2} \log\left(c\right)}{x} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} \log\left(c\right)^{2}}{x^{2}} - \frac{144 \, {\left(d \sqrt{x} + e\right)}^{4} a b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{192 \, {\left(d \sqrt{x} + e\right)}^{3} a b d n}{x^{\frac{3}{2}}} + \frac{288 \, {\left(d \sqrt{x} + e\right)} a^{2} d^{3}}{\sqrt{x}} + \frac{576 \, {\left(d \sqrt{x} + e\right)}^{3} a b d \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{36 \, {\left(d \sqrt{x} + e\right)}^{4} a b n}{x^{2}} - \frac{432 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} d^{2}}{x} - \frac{144 \, {\left(d \sqrt{x} + e\right)}^{4} a b \log\left(c\right)}{x^{2}} + \frac{288 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} d}{x^{\frac{3}{2}}} - \frac{72 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2}}{x^{2}}\right)} e^{\left(-4\right)}"," ",0,"1/144*(288*(d*sqrt(x) + e)*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) - 432*(d*sqrt(x) + e)^2*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 576*(d*sqrt(x) + e)*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 576*(d*sqrt(x) + e)*b^2*d^3*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 288*(d*sqrt(x) + e)^3*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 432*(d*sqrt(x) + e)^2*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x - 864*(d*sqrt(x) + e)^2*b^2*d^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 72*(d*sqrt(x) + e)^4*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 + 576*(d*sqrt(x) + e)*b^2*d^3*n^2/sqrt(x) - 576*(d*sqrt(x) + e)*b^2*d^3*n*log(c)/sqrt(x) + 288*(d*sqrt(x) + e)*b^2*d^3*log(c)^2/sqrt(x) - 192*(d*sqrt(x) + e)^3*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 576*(d*sqrt(x) + e)*a*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 576*(d*sqrt(x) + e)^3*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 216*(d*sqrt(x) + e)^2*b^2*d^2*n^2/x + 432*(d*sqrt(x) + e)^2*b^2*d^2*n*log(c)/x - 432*(d*sqrt(x) + e)^2*b^2*d^2*log(c)^2/x + 36*(d*sqrt(x) + e)^4*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 864*(d*sqrt(x) + e)^2*a*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x - 144*(d*sqrt(x) + e)^4*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 + 64*(d*sqrt(x) + e)^3*b^2*d*n^2/x^(3/2) - 576*(d*sqrt(x) + e)*a*b*d^3*n/sqrt(x) - 192*(d*sqrt(x) + e)^3*b^2*d*n*log(c)/x^(3/2) + 576*(d*sqrt(x) + e)*a*b*d^3*log(c)/sqrt(x) + 288*(d*sqrt(x) + e)^3*b^2*d*log(c)^2/x^(3/2) + 576*(d*sqrt(x) + e)^3*a*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 9*(d*sqrt(x) + e)^4*b^2*n^2/x^2 + 432*(d*sqrt(x) + e)^2*a*b*d^2*n/x + 36*(d*sqrt(x) + e)^4*b^2*n*log(c)/x^2 - 864*(d*sqrt(x) + e)^2*a*b*d^2*log(c)/x - 72*(d*sqrt(x) + e)^4*b^2*log(c)^2/x^2 - 144*(d*sqrt(x) + e)^4*a*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 192*(d*sqrt(x) + e)^3*a*b*d*n/x^(3/2) + 288*(d*sqrt(x) + e)*a^2*d^3/sqrt(x) + 576*(d*sqrt(x) + e)^3*a*b*d*log(c)/x^(3/2) + 36*(d*sqrt(x) + e)^4*a*b*n/x^2 - 432*(d*sqrt(x) + e)^2*a^2*d^2/x - 144*(d*sqrt(x) + e)^4*a*b*log(c)/x^2 + 288*(d*sqrt(x) + e)^3*a^2*d/x^(3/2) - 72*(d*sqrt(x) + e)^4*a^2/x^2)*e^(-4)","B",0
435,1,1639,0,0.451411," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^2/x^4,x, algorithm=""giac"")","\frac{1}{5400} \, {\left(\frac{10800 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{21600 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} n^{2}}{\sqrt{x}} - \frac{21600 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} n \log\left(c\right)}{\sqrt{x}} + \frac{10800 \, {\left(d \sqrt{x} + e\right)} b^{2} d^{5} \log\left(c\right)^{2}}{\sqrt{x}} - \frac{24000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)} a b d^{5} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{72000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{10800 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{5}{2}}} - \frac{13500 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} n^{2}}{x} + \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} n \log\left(c\right)}{x} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{2} d^{4} \log\left(c\right)^{2}}{x} + \frac{13500 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{4} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{1800 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{3}} + \frac{8000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} n^{2}}{x^{\frac{3}{2}}} - \frac{21600 \, {\left(d \sqrt{x} + e\right)} a b d^{5} n}{\sqrt{x}} - \frac{24000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} n \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)} a b d^{5} \log\left(c\right)}{\sqrt{x}} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{2} d^{3} \log\left(c\right)^{2}}{x^{\frac{3}{2}}} - \frac{4320 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{72000 \, {\left(d \sqrt{x} + e\right)}^{3} a b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} - \frac{3375 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} n^{2}}{x^{2}} + \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{4} n}{x} + \frac{13500 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} n \log\left(c\right)}{x^{2}} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{2} a b d^{4} \log\left(c\right)}{x} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{2} d^{2} \log\left(c\right)^{2}}{x^{2}} + \frac{600 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{4} a b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{3600 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} + \frac{864 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d n^{2}}{x^{\frac{5}{2}}} - \frac{24000 \, {\left(d \sqrt{x} + e\right)}^{3} a b d^{3} n}{x^{\frac{3}{2}}} + \frac{10800 \, {\left(d \sqrt{x} + e\right)} a^{2} d^{5}}{\sqrt{x}} - \frac{4320 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d n \log\left(c\right)}{x^{\frac{5}{2}}} + \frac{72000 \, {\left(d \sqrt{x} + e\right)}^{3} a b d^{3} \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{10800 \, {\left(d \sqrt{x} + e\right)}^{5} b^{2} d \log\left(c\right)^{2}}{x^{\frac{5}{2}}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)}^{5} a b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} - \frac{100 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} n^{2}}{x^{3}} + \frac{13500 \, {\left(d \sqrt{x} + e\right)}^{4} a b d^{2} n}{x^{2}} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} d^{4}}{x} + \frac{600 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} n \log\left(c\right)}{x^{3}} - \frac{54000 \, {\left(d \sqrt{x} + e\right)}^{4} a b d^{2} \log\left(c\right)}{x^{2}} - \frac{1800 \, {\left(d \sqrt{x} + e\right)}^{6} b^{2} \log\left(c\right)^{2}}{x^{3}} - \frac{3600 \, {\left(d \sqrt{x} + e\right)}^{6} a b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{4320 \, {\left(d \sqrt{x} + e\right)}^{5} a b d n}{x^{\frac{5}{2}}} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} d^{3}}{x^{\frac{3}{2}}} + \frac{21600 \, {\left(d \sqrt{x} + e\right)}^{5} a b d \log\left(c\right)}{x^{\frac{5}{2}}} + \frac{600 \, {\left(d \sqrt{x} + e\right)}^{6} a b n}{x^{3}} - \frac{27000 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} d^{2}}{x^{2}} - \frac{3600 \, {\left(d \sqrt{x} + e\right)}^{6} a b \log\left(c\right)}{x^{3}} + \frac{10800 \, {\left(d \sqrt{x} + e\right)}^{5} a^{2} d}{x^{\frac{5}{2}}} - \frac{1800 \, {\left(d \sqrt{x} + e\right)}^{6} a^{2}}{x^{3}}\right)} e^{\left(-6\right)}"," ",0,"1/5400*(10800*(d*sqrt(x) + e)*b^2*d^5*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) - 27000*(d*sqrt(x) + e)^2*b^2*d^4*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 21600*(d*sqrt(x) + e)*b^2*d^5*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 21600*(d*sqrt(x) + e)*b^2*d^5*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 36000*(d*sqrt(x) + e)^3*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 27000*(d*sqrt(x) + e)^2*b^2*d^4*n^2*log((d*sqrt(x) + e)/sqrt(x))/x - 54000*(d*sqrt(x) + e)^2*b^2*d^4*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 27000*(d*sqrt(x) + e)^4*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 + 21600*(d*sqrt(x) + e)*b^2*d^5*n^2/sqrt(x) - 21600*(d*sqrt(x) + e)*b^2*d^5*n*log(c)/sqrt(x) + 10800*(d*sqrt(x) + e)*b^2*d^5*log(c)^2/sqrt(x) - 24000*(d*sqrt(x) + e)^3*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 21600*(d*sqrt(x) + e)*a*b*d^5*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 72000*(d*sqrt(x) + e)^3*b^2*d^3*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 10800*(d*sqrt(x) + e)^5*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(5/2) - 13500*(d*sqrt(x) + e)^2*b^2*d^4*n^2/x + 27000*(d*sqrt(x) + e)^2*b^2*d^4*n*log(c)/x - 27000*(d*sqrt(x) + e)^2*b^2*d^4*log(c)^2/x + 13500*(d*sqrt(x) + e)^4*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 54000*(d*sqrt(x) + e)^2*a*b*d^4*n*log((d*sqrt(x) + e)/sqrt(x))/x - 54000*(d*sqrt(x) + e)^4*b^2*d^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 1800*(d*sqrt(x) + e)^6*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^3 + 8000*(d*sqrt(x) + e)^3*b^2*d^3*n^2/x^(3/2) - 21600*(d*sqrt(x) + e)*a*b*d^5*n/sqrt(x) - 24000*(d*sqrt(x) + e)^3*b^2*d^3*n*log(c)/x^(3/2) + 21600*(d*sqrt(x) + e)*a*b*d^5*log(c)/sqrt(x) + 36000*(d*sqrt(x) + e)^3*b^2*d^3*log(c)^2/x^(3/2) - 4320*(d*sqrt(x) + e)^5*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 72000*(d*sqrt(x) + e)^3*a*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 21600*(d*sqrt(x) + e)^5*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) - 3375*(d*sqrt(x) + e)^4*b^2*d^2*n^2/x^2 + 27000*(d*sqrt(x) + e)^2*a*b*d^4*n/x + 13500*(d*sqrt(x) + e)^4*b^2*d^2*n*log(c)/x^2 - 54000*(d*sqrt(x) + e)^2*a*b*d^4*log(c)/x - 27000*(d*sqrt(x) + e)^4*b^2*d^2*log(c)^2/x^2 + 600*(d*sqrt(x) + e)^6*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 54000*(d*sqrt(x) + e)^4*a*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 3600*(d*sqrt(x) + e)^6*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^3 + 864*(d*sqrt(x) + e)^5*b^2*d*n^2/x^(5/2) - 24000*(d*sqrt(x) + e)^3*a*b*d^3*n/x^(3/2) + 10800*(d*sqrt(x) + e)*a^2*d^5/sqrt(x) - 4320*(d*sqrt(x) + e)^5*b^2*d*n*log(c)/x^(5/2) + 72000*(d*sqrt(x) + e)^3*a*b*d^3*log(c)/x^(3/2) + 10800*(d*sqrt(x) + e)^5*b^2*d*log(c)^2/x^(5/2) + 21600*(d*sqrt(x) + e)^5*a*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) - 100*(d*sqrt(x) + e)^6*b^2*n^2/x^3 + 13500*(d*sqrt(x) + e)^4*a*b*d^2*n/x^2 - 27000*(d*sqrt(x) + e)^2*a^2*d^4/x + 600*(d*sqrt(x) + e)^6*b^2*n*log(c)/x^3 - 54000*(d*sqrt(x) + e)^4*a*b*d^2*log(c)/x^2 - 1800*(d*sqrt(x) + e)^6*b^2*log(c)^2/x^3 - 3600*(d*sqrt(x) + e)^6*a*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 4320*(d*sqrt(x) + e)^5*a*b*d*n/x^(5/2) + 36000*(d*sqrt(x) + e)^3*a^2*d^3/x^(3/2) + 21600*(d*sqrt(x) + e)^5*a*b*d*log(c)/x^(5/2) + 600*(d*sqrt(x) + e)^6*a*b*n/x^3 - 27000*(d*sqrt(x) + e)^4*a^2*d^2/x^2 - 3600*(d*sqrt(x) + e)^6*a*b*log(c)/x^3 + 10800*(d*sqrt(x) + e)^5*a^2*d/x^(5/2) - 1800*(d*sqrt(x) + e)^6*a^2/x^3)*e^(-6)","B",0
436,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/2))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{3} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^3*x, x)","F",0
437,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^3, x)","F",0
438,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{n}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^n) + a)^3/x, x)","F",0
439,1,1127,0,0.650869," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^3/x^2,x, algorithm=""giac"")","\frac{1}{4} \, {\left(\frac{8 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{\sqrt{x}} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x} - \frac{24 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} + \frac{48 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{48 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} b^{3} d n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} - \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{48 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{3}}{\sqrt{x}} + \frac{48 \, {\left(d \sqrt{x} + e\right)} b^{3} d n^{2} \log\left(c\right)}{\sqrt{x}} - \frac{24 \, {\left(d \sqrt{x} + e\right)} b^{3} d n \log\left(c\right)^{2}}{\sqrt{x}} + \frac{8 \, {\left(d \sqrt{x} + e\right)} b^{3} d \log\left(c\right)^{3}}{\sqrt{x}} - \frac{48 \, {\left(d \sqrt{x} + e\right)} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{48 \, {\left(d \sqrt{x} + e\right)} a b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{3 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{3}}{x} - \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n^{2} \log\left(c\right)}{x} + \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} n \log\left(c\right)^{2}}{x} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} \log\left(c\right)^{3}}{x} + \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{24 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{48 \, {\left(d \sqrt{x} + e\right)} a b^{2} d n^{2}}{\sqrt{x}} - \frac{48 \, {\left(d \sqrt{x} + e\right)} a b^{2} d n \log\left(c\right)}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} a b^{2} d \log\left(c\right)^{2}}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} a^{2} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} n^{2}}{x} + \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} n \log\left(c\right)}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} \log\left(c\right)^{2}}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{24 \, {\left(d \sqrt{x} + e\right)} a^{2} b d n}{\sqrt{x}} + \frac{24 \, {\left(d \sqrt{x} + e\right)} a^{2} b d \log\left(c\right)}{\sqrt{x}} + \frac{6 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b n}{x} - \frac{12 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b \log\left(c\right)}{x} + \frac{8 \, {\left(d \sqrt{x} + e\right)} a^{3} d}{\sqrt{x}} - \frac{4 \, {\left(d \sqrt{x} + e\right)}^{2} a^{3}}{x}\right)} e^{\left(-2\right)}"," ",0,"1/4*(8*(d*sqrt(x) + e)*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/sqrt(x) - 4*(d*sqrt(x) + e)^2*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x - 24*(d*sqrt(x) + e)*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 24*(d*sqrt(x) + e)*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 6*(d*sqrt(x) + e)^2*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x - 12*(d*sqrt(x) + e)^2*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x + 48*(d*sqrt(x) + e)*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 48*(d*sqrt(x) + e)*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 24*(d*sqrt(x) + e)*b^3*d*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 24*(d*sqrt(x) + e)*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) - 6*(d*sqrt(x) + e)^2*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))/x + 12*(d*sqrt(x) + e)^2*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 12*(d*sqrt(x) + e)^2*b^3*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x - 12*(d*sqrt(x) + e)^2*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 48*(d*sqrt(x) + e)*b^3*d*n^3/sqrt(x) + 48*(d*sqrt(x) + e)*b^3*d*n^2*log(c)/sqrt(x) - 24*(d*sqrt(x) + e)*b^3*d*n*log(c)^2/sqrt(x) + 8*(d*sqrt(x) + e)*b^3*d*log(c)^3/sqrt(x) - 48*(d*sqrt(x) + e)*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 48*(d*sqrt(x) + e)*a*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 3*(d*sqrt(x) + e)^2*b^3*n^3/x - 6*(d*sqrt(x) + e)^2*b^3*n^2*log(c)/x + 6*(d*sqrt(x) + e)^2*b^3*n*log(c)^2/x - 4*(d*sqrt(x) + e)^2*b^3*log(c)^3/x + 12*(d*sqrt(x) + e)^2*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x - 24*(d*sqrt(x) + e)^2*a*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x + 48*(d*sqrt(x) + e)*a*b^2*d*n^2/sqrt(x) - 48*(d*sqrt(x) + e)*a*b^2*d*n*log(c)/sqrt(x) + 24*(d*sqrt(x) + e)*a*b^2*d*log(c)^2/sqrt(x) + 24*(d*sqrt(x) + e)*a^2*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 6*(d*sqrt(x) + e)^2*a*b^2*n^2/x + 12*(d*sqrt(x) + e)^2*a*b^2*n*log(c)/x - 12*(d*sqrt(x) + e)^2*a*b^2*log(c)^2/x - 12*(d*sqrt(x) + e)^2*a^2*b*n*log((d*sqrt(x) + e)/sqrt(x))/x - 24*(d*sqrt(x) + e)*a^2*b*d*n/sqrt(x) + 24*(d*sqrt(x) + e)*a^2*b*d*log(c)/sqrt(x) + 6*(d*sqrt(x) + e)^2*a^2*b*n/x - 12*(d*sqrt(x) + e)^2*a^2*b*log(c)/x + 8*(d*sqrt(x) + e)*a^3*d/sqrt(x) - 4*(d*sqrt(x) + e)^2*a^3/x)*e^(-2)","B",0
440,1,2389,0,0.724615," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^3/x^3,x, algorithm=""giac"")","\frac{1}{576} \, {\left(\frac{1152 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{\sqrt{x}} - \frac{1728 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x} - \frac{3456 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{\frac{3}{2}}} + \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{288 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{2}} + \frac{6912 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{6912 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} - \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{216 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{6912 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{3}}{\sqrt{x}} + \frac{6912 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n^{2} \log\left(c\right)}{\sqrt{x}} - \frac{3456 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} n \log\left(c\right)^{2}}{\sqrt{x}} + \frac{1152 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{3} \log\left(c\right)^{3}}{\sqrt{x}} + \frac{768 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{6912 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{2304 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{6912 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{1296 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{3}}{x} - \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n^{2} \log\left(c\right)}{x} + \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} n \log\left(c\right)^{2}}{x} - \frac{1728 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{2} \log\left(c\right)^{3}}{x} - \frac{108 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} + \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{10368 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{256 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{3}}{x^{\frac{3}{2}}} + \frac{6912 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} n^{2}}{\sqrt{x}} + \frac{768 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n^{2} \log\left(c\right)}{x^{\frac{3}{2}}} - \frac{6912 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} n \log\left(c\right)}{\sqrt{x}} - \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d n \log\left(c\right)^{2}}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{3} \log\left(c\right)^{2}}{\sqrt{x}} + \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d \log\left(c\right)^{3}}{x^{\frac{3}{2}}} - \frac{2304 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{6912 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{27 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{3}}{x^{2}} - \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} n^{2}}{x} - \frac{108 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n^{2} \log\left(c\right)}{x^{2}} + \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} n \log\left(c\right)}{x} + \frac{216 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} n \log\left(c\right)^{2}}{x^{2}} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{2} \log\left(c\right)^{2}}{x} - \frac{288 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} \log\left(c\right)^{3}}{x^{2}} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{1728 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} + \frac{768 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d n^{2}}{x^{\frac{3}{2}}} - \frac{3456 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{3} n}{\sqrt{x}} - \frac{2304 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d n \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{3} \log\left(c\right)}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d \log\left(c\right)^{2}}{x^{\frac{3}{2}}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{108 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} n^{2}}{x^{2}} + \frac{2592 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{2} n}{x} + \frac{432 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} n \log\left(c\right)}{x^{2}} - \frac{5184 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{2} \log\left(c\right)}{x} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} \log\left(c\right)^{2}}{x^{2}} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d n}{x^{\frac{3}{2}}} + \frac{1152 \, {\left(d \sqrt{x} + e\right)} a^{3} d^{3}}{\sqrt{x}} + \frac{3456 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{216 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b n}{x^{2}} - \frac{1728 \, {\left(d \sqrt{x} + e\right)}^{2} a^{3} d^{2}}{x} - \frac{864 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b \log\left(c\right)}{x^{2}} + \frac{1152 \, {\left(d \sqrt{x} + e\right)}^{3} a^{3} d}{x^{\frac{3}{2}}} - \frac{288 \, {\left(d \sqrt{x} + e\right)}^{4} a^{3}}{x^{2}}\right)} e^{\left(-4\right)}"," ",0,"1/576*(1152*(d*sqrt(x) + e)*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/sqrt(x) - 1728*(d*sqrt(x) + e)^2*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x - 3456*(d*sqrt(x) + e)*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 3456*(d*sqrt(x) + e)*b^3*d^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 1152*(d*sqrt(x) + e)^3*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^(3/2) + 2592*(d*sqrt(x) + e)^2*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x - 5184*(d*sqrt(x) + e)^2*b^3*d^2*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x - 288*(d*sqrt(x) + e)^4*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^2 + 6912*(d*sqrt(x) + e)*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 6912*(d*sqrt(x) + e)*b^3*d^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 3456*(d*sqrt(x) + e)*b^3*d^3*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 1152*(d*sqrt(x) + e)^3*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 3456*(d*sqrt(x) + e)*a*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 3456*(d*sqrt(x) + e)^3*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) - 2592*(d*sqrt(x) + e)^2*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))/x + 5184*(d*sqrt(x) + e)^2*b^3*d^2*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 5184*(d*sqrt(x) + e)^2*b^3*d^2*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x + 216*(d*sqrt(x) + e)^4*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 5184*(d*sqrt(x) + e)^2*a*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 864*(d*sqrt(x) + e)^4*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 6912*(d*sqrt(x) + e)*b^3*d^3*n^3/sqrt(x) + 6912*(d*sqrt(x) + e)*b^3*d^3*n^2*log(c)/sqrt(x) - 3456*(d*sqrt(x) + e)*b^3*d^3*n*log(c)^2/sqrt(x) + 1152*(d*sqrt(x) + e)*b^3*d^3*log(c)^3/sqrt(x) + 768*(d*sqrt(x) + e)^3*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 6912*(d*sqrt(x) + e)*a*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 2304*(d*sqrt(x) + e)^3*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 6912*(d*sqrt(x) + e)*a*b^2*d^3*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 3456*(d*sqrt(x) + e)^3*b^3*d*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 3456*(d*sqrt(x) + e)^3*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 1296*(d*sqrt(x) + e)^2*b^3*d^2*n^3/x - 2592*(d*sqrt(x) + e)^2*b^3*d^2*n^2*log(c)/x + 2592*(d*sqrt(x) + e)^2*b^3*d^2*n*log(c)^2/x - 1728*(d*sqrt(x) + e)^2*b^3*d^2*log(c)^3/x - 108*(d*sqrt(x) + e)^4*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^2 + 5184*(d*sqrt(x) + e)^2*a*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x + 432*(d*sqrt(x) + e)^4*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 10368*(d*sqrt(x) + e)^2*a*b^2*d^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 864*(d*sqrt(x) + e)^4*b^3*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 864*(d*sqrt(x) + e)^4*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 256*(d*sqrt(x) + e)^3*b^3*d*n^3/x^(3/2) + 6912*(d*sqrt(x) + e)*a*b^2*d^3*n^2/sqrt(x) + 768*(d*sqrt(x) + e)^3*b^3*d*n^2*log(c)/x^(3/2) - 6912*(d*sqrt(x) + e)*a*b^2*d^3*n*log(c)/sqrt(x) - 1152*(d*sqrt(x) + e)^3*b^3*d*n*log(c)^2/x^(3/2) + 3456*(d*sqrt(x) + e)*a*b^2*d^3*log(c)^2/sqrt(x) + 1152*(d*sqrt(x) + e)^3*b^3*d*log(c)^3/x^(3/2) - 2304*(d*sqrt(x) + e)^3*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 3456*(d*sqrt(x) + e)*a^2*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 6912*(d*sqrt(x) + e)^3*a*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 27*(d*sqrt(x) + e)^4*b^3*n^3/x^2 - 2592*(d*sqrt(x) + e)^2*a*b^2*d^2*n^2/x - 108*(d*sqrt(x) + e)^4*b^3*n^2*log(c)/x^2 + 5184*(d*sqrt(x) + e)^2*a*b^2*d^2*n*log(c)/x + 216*(d*sqrt(x) + e)^4*b^3*n*log(c)^2/x^2 - 5184*(d*sqrt(x) + e)^2*a*b^2*d^2*log(c)^2/x - 288*(d*sqrt(x) + e)^4*b^3*log(c)^3/x^2 + 432*(d*sqrt(x) + e)^4*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 5184*(d*sqrt(x) + e)^2*a^2*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x - 1728*(d*sqrt(x) + e)^4*a*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 + 768*(d*sqrt(x) + e)^3*a*b^2*d*n^2/x^(3/2) - 3456*(d*sqrt(x) + e)*a^2*b*d^3*n/sqrt(x) - 2304*(d*sqrt(x) + e)^3*a*b^2*d*n*log(c)/x^(3/2) + 3456*(d*sqrt(x) + e)*a^2*b*d^3*log(c)/sqrt(x) + 3456*(d*sqrt(x) + e)^3*a*b^2*d*log(c)^2/x^(3/2) + 3456*(d*sqrt(x) + e)^3*a^2*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 108*(d*sqrt(x) + e)^4*a*b^2*n^2/x^2 + 2592*(d*sqrt(x) + e)^2*a^2*b*d^2*n/x + 432*(d*sqrt(x) + e)^4*a*b^2*n*log(c)/x^2 - 5184*(d*sqrt(x) + e)^2*a^2*b*d^2*log(c)/x - 864*(d*sqrt(x) + e)^4*a*b^2*log(c)^2/x^2 - 864*(d*sqrt(x) + e)^4*a^2*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 1152*(d*sqrt(x) + e)^3*a^2*b*d*n/x^(3/2) + 1152*(d*sqrt(x) + e)*a^3*d^3/sqrt(x) + 3456*(d*sqrt(x) + e)^3*a^2*b*d*log(c)/x^(3/2) + 216*(d*sqrt(x) + e)^4*a^2*b*n/x^2 - 1728*(d*sqrt(x) + e)^2*a^3*d^2/x - 864*(d*sqrt(x) + e)^4*a^2*b*log(c)/x^2 + 1152*(d*sqrt(x) + e)^3*a^3*d/x^(3/2) - 288*(d*sqrt(x) + e)^4*a^3/x^2)*e^(-4)","B",0
441,1,3651,0,0.855353," ","integrate((a+b*log(c*(d+e/x^(1/2))^n))^3/x^4,x, algorithm=""giac"")","\frac{1}{108000} \, {\left(\frac{216000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{\sqrt{x}} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x} - \frac{648000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{\frac{3}{2}}} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{2}} + \frac{1296000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{1296000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{\sqrt{x}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{216000 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{\frac{5}{2}}} - \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{405000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{3}}{x^{3}} - \frac{1296000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{3}}{\sqrt{x}} + \frac{1296000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right)}{\sqrt{x}} - \frac{648000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} n \log\left(c\right)^{2}}{\sqrt{x}} + \frac{216000 \, {\left(d \sqrt{x} + e\right)} b^{3} d^{5} \log\left(c\right)^{3}}{\sqrt{x}} + \frac{480000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{1296000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{1440000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{1296000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} - \frac{129600 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{5}{2}}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{5}{2}}} + \frac{405000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{3}}{x} - \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right)}{x} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} n \log\left(c\right)^{2}}{x} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{2} b^{3} d^{4} \log\left(c\right)^{3}}{x} - \frac{202500 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} + \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{3240000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} + \frac{18000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{3}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{2}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{3}} - \frac{160000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{3}}{x^{\frac{3}{2}}} + \frac{1296000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} n^{2}}{\sqrt{x}} + \frac{480000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right)}{x^{\frac{3}{2}}} - \frac{1296000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} n \log\left(c\right)}{\sqrt{x}} - \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} n \log\left(c\right)^{2}}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} a b^{2} d^{5} \log\left(c\right)^{2}}{\sqrt{x}} + \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} b^{3} d^{3} \log\left(c\right)^{3}}{x^{\frac{3}{2}}} + \frac{51840 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} - \frac{1440000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{5} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{\sqrt{x}} - \frac{259200 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{4320000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{\frac{5}{2}}} + \frac{50625 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{3}}{x^{2}} - \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} n^{2}}{x} - \frac{202500 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right)}{x^{2}} + \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} n \log\left(c\right)}{x} + \frac{405000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} n \log\left(c\right)^{2}}{x^{2}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a b^{2} d^{4} \log\left(c\right)^{2}}{x} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{4} b^{3} d^{2} \log\left(c\right)^{3}}{x^{2}} - \frac{6000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{4} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{3240000 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n \log\left(c\right)^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)^{2}}{x^{3}} - \frac{10368 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{3}}{x^{\frac{5}{2}}} + \frac{480000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} n^{2}}{x^{\frac{3}{2}}} - \frac{648000 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{5} n}{\sqrt{x}} + \frac{51840 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right)}{x^{\frac{5}{2}}} - \frac{1440000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} n \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)} a^{2} b d^{5} \log\left(c\right)}{\sqrt{x}} - \frac{129600 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d n \log\left(c\right)^{2}}{x^{\frac{5}{2}}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} a b^{2} d^{3} \log\left(c\right)^{2}}{x^{\frac{3}{2}}} + \frac{216000 \, {\left(d \sqrt{x} + e\right)}^{5} b^{3} d \log\left(c\right)^{3}}{x^{\frac{5}{2}}} - \frac{259200 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d^{3} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{3}{2}}} + \frac{1296000 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} + \frac{1000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{3}}{x^{3}} - \frac{202500 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} n^{2}}{x^{2}} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{4} n}{x} - \frac{6000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n^{2} \log\left(c\right)}{x^{3}} + \frac{810000 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} n \log\left(c\right)}{x^{2}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{2} a^{2} b d^{4} \log\left(c\right)}{x} + \frac{18000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} n \log\left(c\right)^{2}}{x^{3}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} a b^{2} d^{2} \log\left(c\right)^{2}}{x^{2}} - \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} b^{3} \log\left(c\right)^{3}}{x^{3}} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} n^{2} \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b d^{2} n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{2}} - \frac{216000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} n \log\left(c\right) \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} + \frac{51840 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d n^{2}}{x^{\frac{5}{2}}} - \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d^{3} n}{x^{\frac{3}{2}}} + \frac{216000 \, {\left(d \sqrt{x} + e\right)} a^{3} d^{5}}{\sqrt{x}} - \frac{259200 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d n \log\left(c\right)}{x^{\frac{5}{2}}} + \frac{2160000 \, {\left(d \sqrt{x} + e\right)}^{3} a^{2} b d^{3} \log\left(c\right)}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} a b^{2} d \log\left(c\right)^{2}}{x^{\frac{5}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} a^{2} b d n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{\frac{5}{2}}} - \frac{6000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} n^{2}}{x^{3}} + \frac{405000 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b d^{2} n}{x^{2}} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{2} a^{3} d^{4}}{x} + \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} n \log\left(c\right)}{x^{3}} - \frac{1620000 \, {\left(d \sqrt{x} + e\right)}^{4} a^{2} b d^{2} \log\left(c\right)}{x^{2}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} a b^{2} \log\left(c\right)^{2}}{x^{3}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} a^{2} b n \log\left(\frac{d \sqrt{x} + e}{\sqrt{x}}\right)}{x^{3}} - \frac{129600 \, {\left(d \sqrt{x} + e\right)}^{5} a^{2} b d n}{x^{\frac{5}{2}}} + \frac{720000 \, {\left(d \sqrt{x} + e\right)}^{3} a^{3} d^{3}}{x^{\frac{3}{2}}} + \frac{648000 \, {\left(d \sqrt{x} + e\right)}^{5} a^{2} b d \log\left(c\right)}{x^{\frac{5}{2}}} + \frac{18000 \, {\left(d \sqrt{x} + e\right)}^{6} a^{2} b n}{x^{3}} - \frac{540000 \, {\left(d \sqrt{x} + e\right)}^{4} a^{3} d^{2}}{x^{2}} - \frac{108000 \, {\left(d \sqrt{x} + e\right)}^{6} a^{2} b \log\left(c\right)}{x^{3}} + \frac{216000 \, {\left(d \sqrt{x} + e\right)}^{5} a^{3} d}{x^{\frac{5}{2}}} - \frac{36000 \, {\left(d \sqrt{x} + e\right)}^{6} a^{3}}{x^{3}}\right)} e^{\left(-6\right)}"," ",0,"1/108000*(216000*(d*sqrt(x) + e)*b^3*d^5*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/sqrt(x) - 540000*(d*sqrt(x) + e)^2*b^3*d^4*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x - 648000*(d*sqrt(x) + e)*b^3*d^5*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 648000*(d*sqrt(x) + e)*b^3*d^5*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 720000*(d*sqrt(x) + e)^3*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^(3/2) + 810000*(d*sqrt(x) + e)^2*b^3*d^4*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x - 1620000*(d*sqrt(x) + e)^2*b^3*d^4*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x - 540000*(d*sqrt(x) + e)^4*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^2 + 1296000*(d*sqrt(x) + e)*b^3*d^5*n^3*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 1296000*(d*sqrt(x) + e)*b^3*d^5*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 648000*(d*sqrt(x) + e)*b^3*d^5*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 720000*(d*sqrt(x) + e)^3*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 648000*(d*sqrt(x) + e)*a*b^2*d^5*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/sqrt(x) + 2160000*(d*sqrt(x) + e)^3*b^3*d^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 216000*(d*sqrt(x) + e)^5*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^(5/2) - 810000*(d*sqrt(x) + e)^2*b^3*d^4*n^3*log((d*sqrt(x) + e)/sqrt(x))/x + 1620000*(d*sqrt(x) + e)^2*b^3*d^4*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 1620000*(d*sqrt(x) + e)^2*b^3*d^4*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x + 405000*(d*sqrt(x) + e)^4*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 1620000*(d*sqrt(x) + e)^2*a*b^2*d^4*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x - 1620000*(d*sqrt(x) + e)^4*b^3*d^2*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 36000*(d*sqrt(x) + e)^6*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^3/x^3 - 1296000*(d*sqrt(x) + e)*b^3*d^5*n^3/sqrt(x) + 1296000*(d*sqrt(x) + e)*b^3*d^5*n^2*log(c)/sqrt(x) - 648000*(d*sqrt(x) + e)*b^3*d^5*n*log(c)^2/sqrt(x) + 216000*(d*sqrt(x) + e)*b^3*d^5*log(c)^3/sqrt(x) + 480000*(d*sqrt(x) + e)^3*b^3*d^3*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 1296000*(d*sqrt(x) + e)*a*b^2*d^5*n^2*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 1440000*(d*sqrt(x) + e)^3*b^3*d^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 1296000*(d*sqrt(x) + e)*a*b^2*d^5*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) + 2160000*(d*sqrt(x) + e)^3*b^3*d^3*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) - 129600*(d*sqrt(x) + e)^5*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^(5/2) + 2160000*(d*sqrt(x) + e)^3*a*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(3/2) + 648000*(d*sqrt(x) + e)^5*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^(5/2) + 405000*(d*sqrt(x) + e)^2*b^3*d^4*n^3/x - 810000*(d*sqrt(x) + e)^2*b^3*d^4*n^2*log(c)/x + 810000*(d*sqrt(x) + e)^2*b^3*d^4*n*log(c)^2/x - 540000*(d*sqrt(x) + e)^2*b^3*d^4*log(c)^3/x - 202500*(d*sqrt(x) + e)^4*b^3*d^2*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^2 + 1620000*(d*sqrt(x) + e)^2*a*b^2*d^4*n^2*log((d*sqrt(x) + e)/sqrt(x))/x + 810000*(d*sqrt(x) + e)^4*b^3*d^2*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 3240000*(d*sqrt(x) + e)^2*a*b^2*d^4*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x - 1620000*(d*sqrt(x) + e)^4*b^3*d^2*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 + 18000*(d*sqrt(x) + e)^6*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))^2/x^3 - 1620000*(d*sqrt(x) + e)^4*a*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^2 - 108000*(d*sqrt(x) + e)^6*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))^2/x^3 - 160000*(d*sqrt(x) + e)^3*b^3*d^3*n^3/x^(3/2) + 1296000*(d*sqrt(x) + e)*a*b^2*d^5*n^2/sqrt(x) + 480000*(d*sqrt(x) + e)^3*b^3*d^3*n^2*log(c)/x^(3/2) - 1296000*(d*sqrt(x) + e)*a*b^2*d^5*n*log(c)/sqrt(x) - 720000*(d*sqrt(x) + e)^3*b^3*d^3*n*log(c)^2/x^(3/2) + 648000*(d*sqrt(x) + e)*a*b^2*d^5*log(c)^2/sqrt(x) + 720000*(d*sqrt(x) + e)^3*b^3*d^3*log(c)^3/x^(3/2) + 51840*(d*sqrt(x) + e)^5*b^3*d*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) - 1440000*(d*sqrt(x) + e)^3*a*b^2*d^3*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 648000*(d*sqrt(x) + e)*a^2*b*d^5*n*log((d*sqrt(x) + e)/sqrt(x))/sqrt(x) - 259200*(d*sqrt(x) + e)^5*b^3*d*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 4320000*(d*sqrt(x) + e)^3*a*b^2*d^3*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 648000*(d*sqrt(x) + e)^5*b^3*d*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 648000*(d*sqrt(x) + e)^5*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^(5/2) + 50625*(d*sqrt(x) + e)^4*b^3*d^2*n^3/x^2 - 810000*(d*sqrt(x) + e)^2*a*b^2*d^4*n^2/x - 202500*(d*sqrt(x) + e)^4*b^3*d^2*n^2*log(c)/x^2 + 1620000*(d*sqrt(x) + e)^2*a*b^2*d^4*n*log(c)/x + 405000*(d*sqrt(x) + e)^4*b^3*d^2*n*log(c)^2/x^2 - 1620000*(d*sqrt(x) + e)^2*a*b^2*d^4*log(c)^2/x - 540000*(d*sqrt(x) + e)^4*b^3*d^2*log(c)^3/x^2 - 6000*(d*sqrt(x) + e)^6*b^3*n^3*log((d*sqrt(x) + e)/sqrt(x))/x^3 + 810000*(d*sqrt(x) + e)^4*a*b^2*d^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 1620000*(d*sqrt(x) + e)^2*a^2*b*d^4*n*log((d*sqrt(x) + e)/sqrt(x))/x + 36000*(d*sqrt(x) + e)^6*b^3*n^2*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 3240000*(d*sqrt(x) + e)^4*a*b^2*d^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 108000*(d*sqrt(x) + e)^6*b^3*n*log(c)^2*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 108000*(d*sqrt(x) + e)^6*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))^2/x^3 - 10368*(d*sqrt(x) + e)^5*b^3*d*n^3/x^(5/2) + 480000*(d*sqrt(x) + e)^3*a*b^2*d^3*n^2/x^(3/2) - 648000*(d*sqrt(x) + e)*a^2*b*d^5*n/sqrt(x) + 51840*(d*sqrt(x) + e)^5*b^3*d*n^2*log(c)/x^(5/2) - 1440000*(d*sqrt(x) + e)^3*a*b^2*d^3*n*log(c)/x^(3/2) + 648000*(d*sqrt(x) + e)*a^2*b*d^5*log(c)/sqrt(x) - 129600*(d*sqrt(x) + e)^5*b^3*d*n*log(c)^2/x^(5/2) + 2160000*(d*sqrt(x) + e)^3*a*b^2*d^3*log(c)^2/x^(3/2) + 216000*(d*sqrt(x) + e)^5*b^3*d*log(c)^3/x^(5/2) - 259200*(d*sqrt(x) + e)^5*a*b^2*d*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 2160000*(d*sqrt(x) + e)^3*a^2*b*d^3*n*log((d*sqrt(x) + e)/sqrt(x))/x^(3/2) + 1296000*(d*sqrt(x) + e)^5*a*b^2*d*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) + 1000*(d*sqrt(x) + e)^6*b^3*n^3/x^3 - 202500*(d*sqrt(x) + e)^4*a*b^2*d^2*n^2/x^2 + 810000*(d*sqrt(x) + e)^2*a^2*b*d^4*n/x - 6000*(d*sqrt(x) + e)^6*b^3*n^2*log(c)/x^3 + 810000*(d*sqrt(x) + e)^4*a*b^2*d^2*n*log(c)/x^2 - 1620000*(d*sqrt(x) + e)^2*a^2*b*d^4*log(c)/x + 18000*(d*sqrt(x) + e)^6*b^3*n*log(c)^2/x^3 - 1620000*(d*sqrt(x) + e)^4*a*b^2*d^2*log(c)^2/x^2 - 36000*(d*sqrt(x) + e)^6*b^3*log(c)^3/x^3 + 36000*(d*sqrt(x) + e)^6*a*b^2*n^2*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 1620000*(d*sqrt(x) + e)^4*a^2*b*d^2*n*log((d*sqrt(x) + e)/sqrt(x))/x^2 - 216000*(d*sqrt(x) + e)^6*a*b^2*n*log(c)*log((d*sqrt(x) + e)/sqrt(x))/x^3 + 51840*(d*sqrt(x) + e)^5*a*b^2*d*n^2/x^(5/2) - 720000*(d*sqrt(x) + e)^3*a^2*b*d^3*n/x^(3/2) + 216000*(d*sqrt(x) + e)*a^3*d^5/sqrt(x) - 259200*(d*sqrt(x) + e)^5*a*b^2*d*n*log(c)/x^(5/2) + 2160000*(d*sqrt(x) + e)^3*a^2*b*d^3*log(c)/x^(3/2) + 648000*(d*sqrt(x) + e)^5*a*b^2*d*log(c)^2/x^(5/2) + 648000*(d*sqrt(x) + e)^5*a^2*b*d*n*log((d*sqrt(x) + e)/sqrt(x))/x^(5/2) - 6000*(d*sqrt(x) + e)^6*a*b^2*n^2/x^3 + 405000*(d*sqrt(x) + e)^4*a^2*b*d^2*n/x^2 - 540000*(d*sqrt(x) + e)^2*a^3*d^4/x + 36000*(d*sqrt(x) + e)^6*a*b^2*n*log(c)/x^3 - 1620000*(d*sqrt(x) + e)^4*a^2*b*d^2*log(c)/x^2 - 108000*(d*sqrt(x) + e)^6*a*b^2*log(c)^2/x^3 - 108000*(d*sqrt(x) + e)^6*a^2*b*n*log((d*sqrt(x) + e)/sqrt(x))/x^3 - 129600*(d*sqrt(x) + e)^5*a^2*b*d*n/x^(5/2) + 720000*(d*sqrt(x) + e)^3*a^3*d^3/x^(3/2) + 648000*(d*sqrt(x) + e)^5*a^2*b*d*log(c)/x^(5/2) + 18000*(d*sqrt(x) + e)^6*a^2*b*n/x^3 - 540000*(d*sqrt(x) + e)^4*a^3*d^2/x^2 - 108000*(d*sqrt(x) + e)^6*a^2*b*log(c)/x^3 + 216000*(d*sqrt(x) + e)^5*a^3*d/x^(5/2) - 36000*(d*sqrt(x) + e)^6*a^3/x^3)*e^(-6)","B",0
442,1,529,0,0.203322," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{110880} \, {\left(27720 \, b x^{4} e \log\left(c\right) + 27720 \, a x^{4} e + {\left(27720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 25613280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2310 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} - 182952 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} + 677600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} - 1715175 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} + 3136320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} - 4268880 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} + 4390848 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} - 3430350 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} + 2032800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} - 914760 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} + 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/110880*(27720*b*x^4*e*log(c) + 27720*a*x^4*e + (27720*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) + 25613280*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) - 2310*(x^(1/3)*e + d)^12*e^(-11) + 30240*(x^(1/3)*e + d)^11*d*e^(-11) - 182952*(x^(1/3)*e + d)^10*d^2*e^(-11) + 677600*(x^(1/3)*e + d)^9*d^3*e^(-11) - 1715175*(x^(1/3)*e + d)^8*d^4*e^(-11) + 3136320*(x^(1/3)*e + d)^7*d^5*e^(-11) - 4268880*(x^(1/3)*e + d)^6*d^6*e^(-11) + 4390848*(x^(1/3)*e + d)^5*d^7*e^(-11) - 3430350*(x^(1/3)*e + d)^4*d^8*e^(-11) + 2032800*(x^(1/3)*e + d)^3*d^9*e^(-11) - 914760*(x^(1/3)*e + d)^2*d^10*e^(-11) + 332640*(x^(1/3)*e + d)*d^11*e^(-11))*b*n)*e^(-1)","B",0
443,1,400,0,0.194388," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{7560} \, {\left(2520 \, b x^{3} e \log\left(c\right) + 2520 \, a x^{3} e + {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/7560*(2520*b*x^3*e*log(c) + 2520*a*x^3*e + (2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*b*n)*e^(-1)","B",0
444,1,271,0,0.186916," ","integrate(x*(a+b*log(c*(d+e*x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{120} \, {\left(60 \, b x^{2} e \log\left(c\right) + 60 \, a x^{2} e + {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b n\right)} e^{\left(-1\right)}"," ",0,"1/120*(60*b*x^2*e*log(c) + 60*a*x^2*e + (60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*b*n)*e^(-1)","B",0
445,1,135,0,0.173063," ","integrate(a+b*log(c*(d+e*x^(1/3))^n),x, algorithm=""giac"")","\frac{1}{6} \, {\left(6 \, x e \log\left(c\right) + {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} n\right)} b e^{\left(-1\right)} + a x"," ",0,"1/6*(6*x*e*log(c) + (6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*n)*b*e^(-1) + a*x","B",0
446,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)/x, x)","F",0
447,1,280,0,0.216064," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))/x^2,x, algorithm=""giac"")","-\frac{{\left(2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b n e^{4} \log\left(x^{\frac{1}{3}} e + d\right) - 6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d n e^{4} \log\left(x^{\frac{1}{3}} e + d\right) + 6 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{2} n e^{4} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b n e^{4} \log\left(x^{\frac{1}{3}} e\right) + 6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d n e^{4} \log\left(x^{\frac{1}{3}} e\right) - 6 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{2} n e^{4} \log\left(x^{\frac{1}{3}} e\right) + 2 \, b d^{3} n e^{4} \log\left(x^{\frac{1}{3}} e\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d n e^{4} + 5 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{2} n e^{4} - 3 \, b d^{3} n e^{4} + 2 \, b d^{3} e^{4} \log\left(c\right) + 2 \, a d^{3} e^{4}\right)} e^{\left(-1\right)}}{2 \, {\left({\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} - 3 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} + 3 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} - d^{6}\right)}}"," ",0,"-1/2*(2*(x^(1/3)*e + d)^3*b*n*e^4*log(x^(1/3)*e + d) - 6*(x^(1/3)*e + d)^2*b*d*n*e^4*log(x^(1/3)*e + d) + 6*(x^(1/3)*e + d)*b*d^2*n*e^4*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*b*n*e^4*log(x^(1/3)*e) + 6*(x^(1/3)*e + d)^2*b*d*n*e^4*log(x^(1/3)*e) - 6*(x^(1/3)*e + d)*b*d^2*n*e^4*log(x^(1/3)*e) + 2*b*d^3*n*e^4*log(x^(1/3)*e) - 2*(x^(1/3)*e + d)^2*b*d*n*e^4 + 5*(x^(1/3)*e + d)*b*d^2*n*e^4 - 3*b*d^3*n*e^4 + 2*b*d^3*e^4*log(c) + 2*a*d^3*e^4)*e^(-1)/((x^(1/3)*e + d)^3*d^3 - 3*(x^(1/3)*e + d)^2*d^4 + 3*(x^(1/3)*e + d)*d^5 - d^6)","B",0
448,1,542,0,0.209399," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))/x^3,x, algorithm=""giac"")","\frac{{\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} b n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{2} n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{3} n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{4} n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{5} n e^{7} \log\left(x^{\frac{1}{3}} e + d\right) - 60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} b n e^{7} \log\left(x^{\frac{1}{3}} e\right) + 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d n e^{7} \log\left(x^{\frac{1}{3}} e\right) - 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{2} n e^{7} \log\left(x^{\frac{1}{3}} e\right) + 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{3} n e^{7} \log\left(x^{\frac{1}{3}} e\right) - 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{4} n e^{7} \log\left(x^{\frac{1}{3}} e\right) + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{5} n e^{7} \log\left(x^{\frac{1}{3}} e\right) - 60 \, b d^{6} n e^{7} \log\left(x^{\frac{1}{3}} e\right) - 60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d n e^{7} + 330 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{2} n e^{7} - 740 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{3} n e^{7} + 855 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{4} n e^{7} - 522 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{5} n e^{7} + 137 \, b d^{6} n e^{7} - 60 \, b d^{6} e^{7} \log\left(c\right) - 60 \, a d^{6} e^{7}\right)} e^{\left(-1\right)}}{120 \, {\left({\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} - 6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} + 15 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} - 20 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} + 15 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} - 6 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} + d^{12}\right)}}"," ",0,"1/120*(60*(x^(1/3)*e + d)^6*b*n*e^7*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*b*d*n*e^7*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*b*d^2*n*e^7*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*b*d^3*n*e^7*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*b*d^4*n*e^7*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*b*d^5*n*e^7*log(x^(1/3)*e + d) - 60*(x^(1/3)*e + d)^6*b*n*e^7*log(x^(1/3)*e) + 360*(x^(1/3)*e + d)^5*b*d*n*e^7*log(x^(1/3)*e) - 900*(x^(1/3)*e + d)^4*b*d^2*n*e^7*log(x^(1/3)*e) + 1200*(x^(1/3)*e + d)^3*b*d^3*n*e^7*log(x^(1/3)*e) - 900*(x^(1/3)*e + d)^2*b*d^4*n*e^7*log(x^(1/3)*e) + 360*(x^(1/3)*e + d)*b*d^5*n*e^7*log(x^(1/3)*e) - 60*b*d^6*n*e^7*log(x^(1/3)*e) - 60*(x^(1/3)*e + d)^5*b*d*n*e^7 + 330*(x^(1/3)*e + d)^4*b*d^2*n*e^7 - 740*(x^(1/3)*e + d)^3*b*d^3*n*e^7 + 855*(x^(1/3)*e + d)^2*b*d^4*n*e^7 - 522*(x^(1/3)*e + d)*b*d^5*n*e^7 + 137*b*d^6*n*e^7 - 60*b*d^6*e^7*log(c) - 60*a*d^6*e^7)*e^(-1)/((x^(1/3)*e + d)^6*d^6 - 6*(x^(1/3)*e + d)^5*d^7 + 15*(x^(1/3)*e + d)^4*d^8 - 20*(x^(1/3)*e + d)^3*d^9 + 15*(x^(1/3)*e + d)^2*d^10 - 6*(x^(1/3)*e + d)*d^11 + d^12)","B",0
449,1,808,0,0.222509," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))/x^4,x, algorithm=""giac"")","-\frac{{\left(840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} b n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) - 7560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} b d n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} b d^{2} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} b d^{3} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) + 105840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d^{4} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) - 105840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{5} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) + 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{6} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) - 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{7} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) + 7560 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{8} n e^{10} \log\left(x^{\frac{1}{3}} e + d\right) - 840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} b n e^{10} \log\left(x^{\frac{1}{3}} e\right) + 7560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} b d n e^{10} \log\left(x^{\frac{1}{3}} e\right) - 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} b d^{2} n e^{10} \log\left(x^{\frac{1}{3}} e\right) + 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} b d^{3} n e^{10} \log\left(x^{\frac{1}{3}} e\right) - 105840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d^{4} n e^{10} \log\left(x^{\frac{1}{3}} e\right) + 105840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{5} n e^{10} \log\left(x^{\frac{1}{3}} e\right) - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{6} n e^{10} \log\left(x^{\frac{1}{3}} e\right) + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{7} n e^{10} \log\left(x^{\frac{1}{3}} e\right) - 7560 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{8} n e^{10} \log\left(x^{\frac{1}{3}} e\right) + 840 \, b d^{9} n e^{10} \log\left(x^{\frac{1}{3}} e\right) - 840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} b d n e^{10} + 7140 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} b d^{2} n e^{10} - 26740 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} b d^{3} n e^{10} + 57750 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} b d^{4} n e^{10} - 78918 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} b d^{5} n e^{10} + 70252 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} b d^{6} n e^{10} - 40188 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} b d^{7} n e^{10} + 13827 \, {\left(x^{\frac{1}{3}} e + d\right)} b d^{8} n e^{10} - 2283 \, b d^{9} n e^{10} + 840 \, b d^{9} e^{10} \log\left(c\right) + 840 \, a d^{9} e^{10}\right)} e^{\left(-1\right)}}{2520 \, {\left({\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{9} - 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{10} + 36 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{11} - 84 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{12} + 126 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{13} - 126 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{14} + 84 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{15} - 36 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{16} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{17} - d^{18}\right)}}"," ",0,"-1/2520*(840*(x^(1/3)*e + d)^9*b*n*e^10*log(x^(1/3)*e + d) - 7560*(x^(1/3)*e + d)^8*b*d*n*e^10*log(x^(1/3)*e + d) + 30240*(x^(1/3)*e + d)^7*b*d^2*n*e^10*log(x^(1/3)*e + d) - 70560*(x^(1/3)*e + d)^6*b*d^3*n*e^10*log(x^(1/3)*e + d) + 105840*(x^(1/3)*e + d)^5*b*d^4*n*e^10*log(x^(1/3)*e + d) - 105840*(x^(1/3)*e + d)^4*b*d^5*n*e^10*log(x^(1/3)*e + d) + 70560*(x^(1/3)*e + d)^3*b*d^6*n*e^10*log(x^(1/3)*e + d) - 30240*(x^(1/3)*e + d)^2*b*d^7*n*e^10*log(x^(1/3)*e + d) + 7560*(x^(1/3)*e + d)*b*d^8*n*e^10*log(x^(1/3)*e + d) - 840*(x^(1/3)*e + d)^9*b*n*e^10*log(x^(1/3)*e) + 7560*(x^(1/3)*e + d)^8*b*d*n*e^10*log(x^(1/3)*e) - 30240*(x^(1/3)*e + d)^7*b*d^2*n*e^10*log(x^(1/3)*e) + 70560*(x^(1/3)*e + d)^6*b*d^3*n*e^10*log(x^(1/3)*e) - 105840*(x^(1/3)*e + d)^5*b*d^4*n*e^10*log(x^(1/3)*e) + 105840*(x^(1/3)*e + d)^4*b*d^5*n*e^10*log(x^(1/3)*e) - 70560*(x^(1/3)*e + d)^3*b*d^6*n*e^10*log(x^(1/3)*e) + 30240*(x^(1/3)*e + d)^2*b*d^7*n*e^10*log(x^(1/3)*e) - 7560*(x^(1/3)*e + d)*b*d^8*n*e^10*log(x^(1/3)*e) + 840*b*d^9*n*e^10*log(x^(1/3)*e) - 840*(x^(1/3)*e + d)^8*b*d*n*e^10 + 7140*(x^(1/3)*e + d)^7*b*d^2*n*e^10 - 26740*(x^(1/3)*e + d)^6*b*d^3*n*e^10 + 57750*(x^(1/3)*e + d)^5*b*d^4*n*e^10 - 78918*(x^(1/3)*e + d)^4*b*d^5*n*e^10 + 70252*(x^(1/3)*e + d)^3*b*d^6*n*e^10 - 40188*(x^(1/3)*e + d)^2*b*d^7*n*e^10 + 13827*(x^(1/3)*e + d)*b*d^8*n*e^10 - 2283*b*d^9*n*e^10 + 840*b*d^9*e^10*log(c) + 840*a*d^9*e^10)*e^(-1)/((x^(1/3)*e + d)^9*d^9 - 9*(x^(1/3)*e + d)^8*d^10 + 36*(x^(1/3)*e + d)^7*d^11 - 84*(x^(1/3)*e + d)^6*d^12 + 126*(x^(1/3)*e + d)^5*d^13 - 126*(x^(1/3)*e + d)^4*d^14 + 84*(x^(1/3)*e + d)^3*d^15 - 36*(x^(1/3)*e + d)^2*d^16 + 9*(x^(1/3)*e + d)*d^17 - d^18)","B",0
450,1,1427,0,0.279012," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/3))^n))^2,x, algorithm=""giac"")","\frac{1}{9525600} \, {\left(3175200 \, b^{2} x^{3} e \log\left(c\right)^{2} + 6350400 \, a b x^{3} e \log\left(c\right) + 3175200 \, a^{2} x^{3} e + {\left(3175200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 705600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 7144200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 32659200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 88905600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 160030080 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 200037600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 177811200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 78400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} - 893025 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} + 4665600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} - 14817600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} + 32006016 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} - 50009400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} + 59270400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} + 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b^{2} n^{2} + 2520 \, {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b^{2} n \log\left(c\right) + 2520 \, {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} a b n\right)} e^{\left(-1\right)}"," ",0,"1/9525600*(3175200*b^2*x^3*e*log(c)^2 + 6350400*a*b*x^3*e*log(c) + 3175200*a^2*x^3*e + (3175200*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d)^2 - 28576800*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d)^2 + 114307200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d)^2 - 266716800*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d)^2 + 400075200*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d)^2 - 400075200*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d)^2 + 266716800*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d)^2 - 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d)^2 + 28576800*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d)^2 - 705600*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) + 7144200*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) - 32659200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) + 88905600*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) - 160030080*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) + 200037600*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) - 177811200*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) + 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) - 57153600*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) + 78400*(x^(1/3)*e + d)^9*e^(-8) - 893025*(x^(1/3)*e + d)^8*d*e^(-8) + 4665600*(x^(1/3)*e + d)^7*d^2*e^(-8) - 14817600*(x^(1/3)*e + d)^6*d^3*e^(-8) + 32006016*(x^(1/3)*e + d)^5*d^4*e^(-8) - 50009400*(x^(1/3)*e + d)^4*d^5*e^(-8) + 59270400*(x^(1/3)*e + d)^3*d^6*e^(-8) - 57153600*(x^(1/3)*e + d)^2*d^7*e^(-8) + 57153600*(x^(1/3)*e + d)*d^8*e^(-8))*b^2*n^2 + 2520*(2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*b^2*n*log(c) + 2520*(2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*a*b*n)*e^(-1)","B",0
451,1,956,0,0.265760," ","integrate(x*(a+b*log(c*(d+e*x^(1/3))^n))^2,x, algorithm=""giac"")","\frac{1}{3600} \, {\left(1800 \, b^{2} x^{2} e \log\left(c\right)^{2} + 3600 \, a b x^{2} e \log\left(c\right) + {\left(1800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 24000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 100 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n^{2} + 1800 \, a^{2} x^{2} e + 60 \, {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n \log\left(c\right) + 60 \, {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b n\right)} e^{\left(-1\right)}"," ",0,"1/3600*(1800*b^2*x^2*e*log(c)^2 + 3600*a*b*x^2*e*log(c) + (1800*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d)^2 - 36000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d)^2 - 600*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) + 4320*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) - 13500*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) + 24000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) - 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) + 21600*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) + 100*(x^(1/3)*e + d)^6*e^(-5) - 864*(x^(1/3)*e + d)^5*d*e^(-5) + 3375*(x^(1/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(1/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(1/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(1/3)*e + d)*d^5*e^(-5))*b^2*n^2 + 1800*a^2*x^2*e + 60*(60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*b^2*n*log(c) + 60*(60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*a*b*n)*e^(-1)","B",0
452,1,479,0,0.206171," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^2,x, algorithm=""giac"")","\frac{1}{18} \, {\left(18 \, b^{2} x e \log\left(c\right)^{2} + {\left(18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 54 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} - 27 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} + 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} b^{2} n^{2} + 6 \, {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} b^{2} n \log\left(c\right) + 36 \, a b x e \log\left(c\right) + 6 \, {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} a b n + 18 \, a^{2} x e\right)} e^{\left(-1\right)}"," ",0,"1/18*(18*b^2*x*e*log(c)^2 + (18*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d)^2 - 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d)^2 + 54*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d)^2 - 12*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) + 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) - 108*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) + 4*(x^(1/3)*e + d)^3*e^(-2) - 27*(x^(1/3)*e + d)^2*d*e^(-2) + 108*(x^(1/3)*e + d)*d^2*e^(-2))*b^2*n^2 + 6*(6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*b^2*n*log(c) + 36*a*b*x*e*log(c) + 6*(6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*a*b*n + 18*a^2*x*e)*e^(-1)","B",0
453,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^2/x, x)","F",0
454,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^2/x^2, x)","F",0
455,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^2/x^3, x)","F",0
456,1,4443,0,0.511028," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/3))^n))^3,x, algorithm=""giac"")","\frac{1}{14200002432000} \, {\left(3550000608000 \, b^{3} x^{4} e \log\left(c\right)^{3} + 10650001824000 \, a b^{2} x^{4} e \log\left(c\right)^{2} + 10650001824000 \, a^{2} b x^{4} e \log\left(c\right) + 3550000608000 \, a^{3} x^{4} e + {\left(3550000608000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 42600007296000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 234300040128000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 781000133760000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 1757250300960000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 2811600481536000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 3280200561792000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 2811600481536000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 1757250300960000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 781000133760000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 234300040128000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 42600007296000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 887500152000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 11618183808000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 70290012038400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 260333377920000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 658968862860000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 1204971634944000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 1640100280896000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 1686960288921600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 1317937725720000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 781000133760000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 351450060192000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 127800021888000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 147916692000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2112397056000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 14058002407680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 57851861760000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 164742215715000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 344277609984000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 546700093632000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 674784115568640 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 658968862860000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 520666755840000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 351450060192000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 255600043776000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 12326391000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} + 192036096000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} - 1405800240768 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} + 6427984640000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} - 20592776964375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} + 49182515712000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} - 91116682272000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} + 134956823113728 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} - 164742215715000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} + 173555585280000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} - 175725030096000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} + 255600043776000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} b^{3} n^{3} + 27720 \, {\left(384199200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 4610390400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 84523824000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 190178604000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 304285766400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 355000060800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 304285766400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 190178604000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 84523824000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 4610390400 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 64033200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 838252800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 5071429440 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18783072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 47544651000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 86938790400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 118333353600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 121714306560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 95089302000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 56349216000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 9220780800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 5336100 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} - 76204800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} + 507142944 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} - 2087008000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} + 5943081375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} - 12419827200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} + 19722225600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} - 24342861312 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} + 23772325500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} - 18783072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} + 12678573600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} - 9220780800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} b^{3} n^{2} \log\left(c\right) + 384199200 \, {\left(27720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 25613280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2310 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} - 182952 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} + 677600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} - 1715175 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} + 3136320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} - 4268880 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} + 4390848 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} - 3430350 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} + 2032800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} - 914760 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} + 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} b^{3} n \log\left(c\right)^{2} + 27720 \, {\left(384199200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 4610390400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 84523824000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 190178604000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 304285766400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 355000060800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 304285766400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 190178604000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 84523824000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 4610390400 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 64033200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 838252800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 5071429440 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18783072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 47544651000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 86938790400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 118333353600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 121714306560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 95089302000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 56349216000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 25357147200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 9220780800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 5336100 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} - 76204800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} + 507142944 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} - 2087008000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} + 5943081375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} - 12419827200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} + 19722225600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} - 24342861312 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} + 23772325500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} - 18783072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} + 12678573600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} - 9220780800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} a b^{2} n^{2} + 768398400 \, {\left(27720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 25613280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2310 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} - 182952 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} + 677600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} - 1715175 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} + 3136320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} - 4268880 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} + 4390848 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} - 3430350 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} + 2032800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} - 914760 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} + 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} a b^{2} n \log\left(c\right) + 384199200 \, {\left(27720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 25613280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21954240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 13721400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 6098400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 1829520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2310 \, {\left(x^{\frac{1}{3}} e + d\right)}^{12} e^{\left(-11\right)} + 30240 \, {\left(x^{\frac{1}{3}} e + d\right)}^{11} d e^{\left(-11\right)} - 182952 \, {\left(x^{\frac{1}{3}} e + d\right)}^{10} d^{2} e^{\left(-11\right)} + 677600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} d^{3} e^{\left(-11\right)} - 1715175 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d^{4} e^{\left(-11\right)} + 3136320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{5} e^{\left(-11\right)} - 4268880 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{6} e^{\left(-11\right)} + 4390848 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{7} e^{\left(-11\right)} - 3430350 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{8} e^{\left(-11\right)} + 2032800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{9} e^{\left(-11\right)} - 914760 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{10} e^{\left(-11\right)} + 332640 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{11} e^{\left(-11\right)}\right)} a^{2} b n\right)} e^{\left(-1\right)}"," ",0,"1/14200002432000*(3550000608000*b^3*x^4*e*log(c)^3 + 10650001824000*a*b^2*x^4*e*log(c)^2 + 10650001824000*a^2*b*x^4*e*log(c) + 3550000608000*a^3*x^4*e + (3550000608000*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d)^3 - 42600007296000*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d)^3 + 234300040128000*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d)^3 - 781000133760000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d)^3 + 1757250300960000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d)^3 - 2811600481536000*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d)^3 + 3280200561792000*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d)^3 - 2811600481536000*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d)^3 + 1757250300960000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d)^3 - 781000133760000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d)^3 + 234300040128000*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d)^3 - 42600007296000*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d)^3 - 887500152000*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d)^2 + 11618183808000*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d)^2 - 70290012038400*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d)^2 + 260333377920000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d)^2 - 658968862860000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d)^2 + 1204971634944000*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d)^2 - 1640100280896000*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d)^2 + 1686960288921600*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d)^2 - 1317937725720000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d)^2 + 781000133760000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d)^2 - 351450060192000*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d)^2 + 127800021888000*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d)^2 + 147916692000*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) - 2112397056000*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) + 14058002407680*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) - 57851861760000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) + 164742215715000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) - 344277609984000*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) + 546700093632000*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) - 674784115568640*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) + 658968862860000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) - 520666755840000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) + 351450060192000*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) - 255600043776000*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) - 12326391000*(x^(1/3)*e + d)^12*e^(-11) + 192036096000*(x^(1/3)*e + d)^11*d*e^(-11) - 1405800240768*(x^(1/3)*e + d)^10*d^2*e^(-11) + 6427984640000*(x^(1/3)*e + d)^9*d^3*e^(-11) - 20592776964375*(x^(1/3)*e + d)^8*d^4*e^(-11) + 49182515712000*(x^(1/3)*e + d)^7*d^5*e^(-11) - 91116682272000*(x^(1/3)*e + d)^6*d^6*e^(-11) + 134956823113728*(x^(1/3)*e + d)^5*d^7*e^(-11) - 164742215715000*(x^(1/3)*e + d)^4*d^8*e^(-11) + 173555585280000*(x^(1/3)*e + d)^3*d^9*e^(-11) - 175725030096000*(x^(1/3)*e + d)^2*d^10*e^(-11) + 255600043776000*(x^(1/3)*e + d)*d^11*e^(-11))*b^3*n^3 + 27720*(384199200*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d)^2 - 4610390400*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d)^2 + 25357147200*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d)^2 - 84523824000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d)^2 + 190178604000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d)^2 - 304285766400*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d)^2 + 355000060800*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d)^2 - 304285766400*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d)^2 + 190178604000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d)^2 - 84523824000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d)^2 + 25357147200*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d)^2 - 4610390400*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d)^2 - 64033200*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) + 838252800*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) - 5071429440*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) + 18783072000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) - 47544651000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) + 86938790400*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) - 118333353600*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) + 121714306560*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) - 95089302000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) + 56349216000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) - 25357147200*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) + 9220780800*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) + 5336100*(x^(1/3)*e + d)^12*e^(-11) - 76204800*(x^(1/3)*e + d)^11*d*e^(-11) + 507142944*(x^(1/3)*e + d)^10*d^2*e^(-11) - 2087008000*(x^(1/3)*e + d)^9*d^3*e^(-11) + 5943081375*(x^(1/3)*e + d)^8*d^4*e^(-11) - 12419827200*(x^(1/3)*e + d)^7*d^5*e^(-11) + 19722225600*(x^(1/3)*e + d)^6*d^6*e^(-11) - 24342861312*(x^(1/3)*e + d)^5*d^7*e^(-11) + 23772325500*(x^(1/3)*e + d)^4*d^8*e^(-11) - 18783072000*(x^(1/3)*e + d)^3*d^9*e^(-11) + 12678573600*(x^(1/3)*e + d)^2*d^10*e^(-11) - 9220780800*(x^(1/3)*e + d)*d^11*e^(-11))*b^3*n^2*log(c) + 384199200*(27720*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) + 25613280*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) - 2310*(x^(1/3)*e + d)^12*e^(-11) + 30240*(x^(1/3)*e + d)^11*d*e^(-11) - 182952*(x^(1/3)*e + d)^10*d^2*e^(-11) + 677600*(x^(1/3)*e + d)^9*d^3*e^(-11) - 1715175*(x^(1/3)*e + d)^8*d^4*e^(-11) + 3136320*(x^(1/3)*e + d)^7*d^5*e^(-11) - 4268880*(x^(1/3)*e + d)^6*d^6*e^(-11) + 4390848*(x^(1/3)*e + d)^5*d^7*e^(-11) - 3430350*(x^(1/3)*e + d)^4*d^8*e^(-11) + 2032800*(x^(1/3)*e + d)^3*d^9*e^(-11) - 914760*(x^(1/3)*e + d)^2*d^10*e^(-11) + 332640*(x^(1/3)*e + d)*d^11*e^(-11))*b^3*n*log(c)^2 + 27720*(384199200*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d)^2 - 4610390400*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d)^2 + 25357147200*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d)^2 - 84523824000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d)^2 + 190178604000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d)^2 - 304285766400*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d)^2 + 355000060800*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d)^2 - 304285766400*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d)^2 + 190178604000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d)^2 - 84523824000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d)^2 + 25357147200*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d)^2 - 4610390400*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d)^2 - 64033200*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) + 838252800*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) - 5071429440*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) + 18783072000*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) - 47544651000*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) + 86938790400*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) - 118333353600*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) + 121714306560*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) - 95089302000*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) + 56349216000*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) - 25357147200*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) + 9220780800*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) + 5336100*(x^(1/3)*e + d)^12*e^(-11) - 76204800*(x^(1/3)*e + d)^11*d*e^(-11) + 507142944*(x^(1/3)*e + d)^10*d^2*e^(-11) - 2087008000*(x^(1/3)*e + d)^9*d^3*e^(-11) + 5943081375*(x^(1/3)*e + d)^8*d^4*e^(-11) - 12419827200*(x^(1/3)*e + d)^7*d^5*e^(-11) + 19722225600*(x^(1/3)*e + d)^6*d^6*e^(-11) - 24342861312*(x^(1/3)*e + d)^5*d^7*e^(-11) + 23772325500*(x^(1/3)*e + d)^4*d^8*e^(-11) - 18783072000*(x^(1/3)*e + d)^3*d^9*e^(-11) + 12678573600*(x^(1/3)*e + d)^2*d^10*e^(-11) - 9220780800*(x^(1/3)*e + d)*d^11*e^(-11))*a*b^2*n^2 + 768398400*(27720*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) + 25613280*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) - 2310*(x^(1/3)*e + d)^12*e^(-11) + 30240*(x^(1/3)*e + d)^11*d*e^(-11) - 182952*(x^(1/3)*e + d)^10*d^2*e^(-11) + 677600*(x^(1/3)*e + d)^9*d^3*e^(-11) - 1715175*(x^(1/3)*e + d)^8*d^4*e^(-11) + 3136320*(x^(1/3)*e + d)^7*d^5*e^(-11) - 4268880*(x^(1/3)*e + d)^6*d^6*e^(-11) + 4390848*(x^(1/3)*e + d)^5*d^7*e^(-11) - 3430350*(x^(1/3)*e + d)^4*d^8*e^(-11) + 2032800*(x^(1/3)*e + d)^3*d^9*e^(-11) - 914760*(x^(1/3)*e + d)^2*d^10*e^(-11) + 332640*(x^(1/3)*e + d)*d^11*e^(-11))*a*b^2*n*log(c) + 384199200*(27720*(x^(1/3)*e + d)^12*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)^11*d*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^10*d^2*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^9*d^3*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^8*d^4*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^7*d^5*e^(-11)*log(x^(1/3)*e + d) + 25613280*(x^(1/3)*e + d)^6*d^6*e^(-11)*log(x^(1/3)*e + d) - 21954240*(x^(1/3)*e + d)^5*d^7*e^(-11)*log(x^(1/3)*e + d) + 13721400*(x^(1/3)*e + d)^4*d^8*e^(-11)*log(x^(1/3)*e + d) - 6098400*(x^(1/3)*e + d)^3*d^9*e^(-11)*log(x^(1/3)*e + d) + 1829520*(x^(1/3)*e + d)^2*d^10*e^(-11)*log(x^(1/3)*e + d) - 332640*(x^(1/3)*e + d)*d^11*e^(-11)*log(x^(1/3)*e + d) - 2310*(x^(1/3)*e + d)^12*e^(-11) + 30240*(x^(1/3)*e + d)^11*d*e^(-11) - 182952*(x^(1/3)*e + d)^10*d^2*e^(-11) + 677600*(x^(1/3)*e + d)^9*d^3*e^(-11) - 1715175*(x^(1/3)*e + d)^8*d^4*e^(-11) + 3136320*(x^(1/3)*e + d)^7*d^5*e^(-11) - 4268880*(x^(1/3)*e + d)^6*d^6*e^(-11) + 4390848*(x^(1/3)*e + d)^5*d^7*e^(-11) - 3430350*(x^(1/3)*e + d)^4*d^8*e^(-11) + 2032800*(x^(1/3)*e + d)^3*d^9*e^(-11) - 914760*(x^(1/3)*e + d)^2*d^10*e^(-11) + 332640*(x^(1/3)*e + d)*d^11*e^(-11))*a^2*b*n)*e^(-1)","B",0
457,1,3333,0,0.428387," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/3))^n))^3,x, algorithm=""giac"")","\frac{1}{8001504000} \, {\left(2667168000 \, b^{3} x^{3} e \log\left(c\right)^{3} + 8001504000 \, a b^{2} x^{3} e \log\left(c\right)^{2} + 8001504000 \, a^{2} b x^{3} e \log\left(c\right) + {\left(2667168000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 24004512000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 96018048000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 224042112000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 336063168000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 336063168000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 224042112000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 96018048000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 24004512000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 889056000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 9001692000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 41150592000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 112021056000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 201637900800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 252047376000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 224042112000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 144027072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 72013536000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 197568000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2250423000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 11757312000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 37340352000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 80655160320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 126023688000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 149361408000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 144027072000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 144027072000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 21952000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 281302875 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 1679616000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 6223392000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 16131032064 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 31505922000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 49787136000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 72013536000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 144027072000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b^{3} n^{3} + 2667168000 \, a^{3} x^{3} e + 2520 \, {\left(3175200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 705600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 7144200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 32659200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 88905600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 160030080 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 200037600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 177811200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 78400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} - 893025 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} + 4665600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} - 14817600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} + 32006016 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} - 50009400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} + 59270400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} + 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b^{3} n^{2} \log\left(c\right) + 3175200 \, {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} b^{3} n \log\left(c\right)^{2} + 2520 \, {\left(3175200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 400075200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 266716800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 28576800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 705600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 7144200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 32659200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 88905600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 160030080 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 200037600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 177811200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 114307200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 78400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} - 893025 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} + 4665600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} - 14817600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} + 32006016 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} - 50009400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} + 59270400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} - 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} + 57153600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} a b^{2} n^{2} + 6350400 \, {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} a b^{2} n \log\left(c\right) + 3175200 \, {\left(2520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 317520 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 211680 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 90720 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{9} e^{\left(-8\right)} + 2835 \, {\left(x^{\frac{1}{3}} e + d\right)}^{8} d e^{\left(-8\right)} - 12960 \, {\left(x^{\frac{1}{3}} e + d\right)}^{7} d^{2} e^{\left(-8\right)} + 35280 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} d^{3} e^{\left(-8\right)} - 63504 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d^{4} e^{\left(-8\right)} + 79380 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{5} e^{\left(-8\right)} - 70560 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{6} e^{\left(-8\right)} + 45360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{7} e^{\left(-8\right)} - 22680 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{8} e^{\left(-8\right)}\right)} a^{2} b n\right)} e^{\left(-1\right)}"," ",0,"1/8001504000*(2667168000*b^3*x^3*e*log(c)^3 + 8001504000*a*b^2*x^3*e*log(c)^2 + 8001504000*a^2*b*x^3*e*log(c) + (2667168000*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d)^3 - 24004512000*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d)^3 + 96018048000*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d)^3 - 224042112000*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d)^3 + 336063168000*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d)^3 - 336063168000*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d)^3 + 224042112000*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d)^3 - 96018048000*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d)^3 + 24004512000*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d)^3 - 889056000*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d)^2 + 9001692000*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d)^2 - 41150592000*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d)^2 + 112021056000*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d)^2 - 201637900800*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d)^2 + 252047376000*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d)^2 - 224042112000*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d)^2 + 144027072000*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d)^2 - 72013536000*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d)^2 + 197568000*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 2250423000*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 11757312000*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 37340352000*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 80655160320*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 126023688000*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 149361408000*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 144027072000*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 144027072000*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 21952000*(x^(1/3)*e + d)^9*e^(-8) + 281302875*(x^(1/3)*e + d)^8*d*e^(-8) - 1679616000*(x^(1/3)*e + d)^7*d^2*e^(-8) + 6223392000*(x^(1/3)*e + d)^6*d^3*e^(-8) - 16131032064*(x^(1/3)*e + d)^5*d^4*e^(-8) + 31505922000*(x^(1/3)*e + d)^4*d^5*e^(-8) - 49787136000*(x^(1/3)*e + d)^3*d^6*e^(-8) + 72013536000*(x^(1/3)*e + d)^2*d^7*e^(-8) - 144027072000*(x^(1/3)*e + d)*d^8*e^(-8))*b^3*n^3 + 2667168000*a^3*x^3*e + 2520*(3175200*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d)^2 - 28576800*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d)^2 + 114307200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d)^2 - 266716800*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d)^2 + 400075200*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d)^2 - 400075200*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d)^2 + 266716800*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d)^2 - 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d)^2 + 28576800*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d)^2 - 705600*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) + 7144200*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) - 32659200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) + 88905600*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) - 160030080*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) + 200037600*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) - 177811200*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) + 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) - 57153600*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) + 78400*(x^(1/3)*e + d)^9*e^(-8) - 893025*(x^(1/3)*e + d)^8*d*e^(-8) + 4665600*(x^(1/3)*e + d)^7*d^2*e^(-8) - 14817600*(x^(1/3)*e + d)^6*d^3*e^(-8) + 32006016*(x^(1/3)*e + d)^5*d^4*e^(-8) - 50009400*(x^(1/3)*e + d)^4*d^5*e^(-8) + 59270400*(x^(1/3)*e + d)^3*d^6*e^(-8) - 57153600*(x^(1/3)*e + d)^2*d^7*e^(-8) + 57153600*(x^(1/3)*e + d)*d^8*e^(-8))*b^3*n^2*log(c) + 3175200*(2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*b^3*n*log(c)^2 + 2520*(3175200*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d)^2 - 28576800*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d)^2 + 114307200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d)^2 - 266716800*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d)^2 + 400075200*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d)^2 - 400075200*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d)^2 + 266716800*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d)^2 - 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d)^2 + 28576800*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d)^2 - 705600*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) + 7144200*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) - 32659200*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) + 88905600*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) - 160030080*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) + 200037600*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) - 177811200*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) + 114307200*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) - 57153600*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) + 78400*(x^(1/3)*e + d)^9*e^(-8) - 893025*(x^(1/3)*e + d)^8*d*e^(-8) + 4665600*(x^(1/3)*e + d)^7*d^2*e^(-8) - 14817600*(x^(1/3)*e + d)^6*d^3*e^(-8) + 32006016*(x^(1/3)*e + d)^5*d^4*e^(-8) - 50009400*(x^(1/3)*e + d)^4*d^5*e^(-8) + 59270400*(x^(1/3)*e + d)^3*d^6*e^(-8) - 57153600*(x^(1/3)*e + d)^2*d^7*e^(-8) + 57153600*(x^(1/3)*e + d)*d^8*e^(-8))*a*b^2*n^2 + 6350400*(2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*a*b^2*n*log(c) + 3175200*(2520*(x^(1/3)*e + d)^9*e^(-8)*log(x^(1/3)*e + d) - 22680*(x^(1/3)*e + d)^8*d*e^(-8)*log(x^(1/3)*e + d) + 90720*(x^(1/3)*e + d)^7*d^2*e^(-8)*log(x^(1/3)*e + d) - 211680*(x^(1/3)*e + d)^6*d^3*e^(-8)*log(x^(1/3)*e + d) + 317520*(x^(1/3)*e + d)^5*d^4*e^(-8)*log(x^(1/3)*e + d) - 317520*(x^(1/3)*e + d)^4*d^5*e^(-8)*log(x^(1/3)*e + d) + 211680*(x^(1/3)*e + d)^3*d^6*e^(-8)*log(x^(1/3)*e + d) - 90720*(x^(1/3)*e + d)^2*d^7*e^(-8)*log(x^(1/3)*e + d) + 22680*(x^(1/3)*e + d)*d^8*e^(-8)*log(x^(1/3)*e + d) - 280*(x^(1/3)*e + d)^9*e^(-8) + 2835*(x^(1/3)*e + d)^8*d*e^(-8) - 12960*(x^(1/3)*e + d)^7*d^2*e^(-8) + 35280*(x^(1/3)*e + d)^6*d^3*e^(-8) - 63504*(x^(1/3)*e + d)^5*d^4*e^(-8) + 79380*(x^(1/3)*e + d)^4*d^5*e^(-8) - 70560*(x^(1/3)*e + d)^3*d^6*e^(-8) + 45360*(x^(1/3)*e + d)^2*d^7*e^(-8) - 22680*(x^(1/3)*e + d)*d^8*e^(-8))*a^2*b*n)*e^(-1)","B",0
458,1,2223,0,0.356007," ","integrate(x*(a+b*log(c*(d+e*x^(1/3))^n))^3,x, algorithm=""giac"")","\frac{1}{72000} \, {\left(36000 \, b^{3} x^{2} e \log\left(c\right)^{3} + 108000 \, a b^{2} x^{2} e \log\left(c\right)^{2} + {\left(36000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 216000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 540000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 720000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 540000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 216000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 18000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 129600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 405000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 720000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 810000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 648000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 6000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 51840 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 202500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 480000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 810000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1296000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 10368 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 50625 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 160000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 405000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 1296000 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{3} + 60 \, {\left(1800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 24000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 100 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{2} \log\left(c\right) + 108000 \, a^{2} b x^{2} e \log\left(c\right) + 1800 \, {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n \log\left(c\right)^{2} + 60 \, {\left(1800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4320 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 24000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 27000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 100 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n^{2} + 36000 \, a^{3} x^{2} e + 3600 \, {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n \log\left(c\right) + 1800 \, {\left(60 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 1200 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 900 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 10 \, {\left(x^{\frac{1}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{1}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{1}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a^{2} b n\right)} e^{\left(-1\right)}"," ",0,"1/72000*(36000*b^3*x^2*e*log(c)^3 + 108000*a*b^2*x^2*e*log(c)^2 + (36000*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d)^3 - 216000*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d)^3 + 540000*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d)^3 - 720000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d)^3 + 540000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d)^3 - 216000*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d)^3 - 18000*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d)^2 + 129600*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d)^2 - 405000*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d)^2 + 720000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d)^2 - 810000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d)^2 + 648000*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d)^2 + 6000*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 51840*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 202500*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 480000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 810000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 1296000*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 1000*(x^(1/3)*e + d)^6*e^(-5) + 10368*(x^(1/3)*e + d)^5*d*e^(-5) - 50625*(x^(1/3)*e + d)^4*d^2*e^(-5) + 160000*(x^(1/3)*e + d)^3*d^3*e^(-5) - 405000*(x^(1/3)*e + d)^2*d^4*e^(-5) + 1296000*(x^(1/3)*e + d)*d^5*e^(-5))*b^3*n^3 + 60*(1800*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d)^2 - 36000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d)^2 - 600*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) + 4320*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) - 13500*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) + 24000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) - 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) + 21600*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) + 100*(x^(1/3)*e + d)^6*e^(-5) - 864*(x^(1/3)*e + d)^5*d*e^(-5) + 3375*(x^(1/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(1/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(1/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(1/3)*e + d)*d^5*e^(-5))*b^3*n^2*log(c) + 108000*a^2*b*x^2*e*log(c) + 1800*(60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*b^3*n*log(c)^2 + 60*(1800*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d)^2 - 36000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d)^2 + 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d)^2 - 10800*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d)^2 - 600*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) + 4320*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) - 13500*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) + 24000*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) - 27000*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) + 21600*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) + 100*(x^(1/3)*e + d)^6*e^(-5) - 864*(x^(1/3)*e + d)^5*d*e^(-5) + 3375*(x^(1/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(1/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(1/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(1/3)*e + d)*d^5*e^(-5))*a*b^2*n^2 + 36000*a^3*x^2*e + 3600*(60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*a*b^2*n*log(c) + 1800*(60*(x^(1/3)*e + d)^6*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)^5*d*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^4*d^2*e^(-5)*log(x^(1/3)*e + d) - 1200*(x^(1/3)*e + d)^3*d^3*e^(-5)*log(x^(1/3)*e + d) + 900*(x^(1/3)*e + d)^2*d^4*e^(-5)*log(x^(1/3)*e + d) - 360*(x^(1/3)*e + d)*d^5*e^(-5)*log(x^(1/3)*e + d) - 10*(x^(1/3)*e + d)^6*e^(-5) + 72*(x^(1/3)*e + d)^5*d*e^(-5) - 225*(x^(1/3)*e + d)^4*d^2*e^(-5) + 400*(x^(1/3)*e + d)^3*d^3*e^(-5) - 450*(x^(1/3)*e + d)^2*d^4*e^(-5) + 360*(x^(1/3)*e + d)*d^5*e^(-5))*a^2*b*n)*e^(-1)","B",0
459,1,1105,0,0.284572," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^3,x, algorithm=""giac"")","\frac{1}{36} \, {\left(36 \, b^{3} x e \log\left(c\right)^{3} + {\left(36 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 108 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} + 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{3} - 36 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 162 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 324 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 24 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 162 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 648 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 8 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 81 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 648 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} b^{3} n^{3} + 6 \, {\left(18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 54 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} - 27 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} + 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} b^{3} n^{2} \log\left(c\right) + 18 \, {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} b^{3} n \log\left(c\right)^{2} + 108 \, a b^{2} x e \log\left(c\right)^{2} + 6 \, {\left(18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} + 54 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 54 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 4 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} - 27 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} + 108 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} a b^{2} n^{2} + 36 \, {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} a b^{2} n \log\left(c\right) + 108 \, a^{2} b x e \log\left(c\right) + 18 \, {\left(6 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 18 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) + 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)} \log\left(x^{\frac{1}{3}} e + d\right) - 2 \, {\left(x^{\frac{1}{3}} e + d\right)}^{3} e^{\left(-2\right)} + 9 \, {\left(x^{\frac{1}{3}} e + d\right)}^{2} d e^{\left(-2\right)} - 18 \, {\left(x^{\frac{1}{3}} e + d\right)} d^{2} e^{\left(-2\right)}\right)} a^{2} b n + 36 \, a^{3} x e\right)} e^{\left(-1\right)}"," ",0,"1/36*(36*b^3*x*e*log(c)^3 + (36*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d)^3 - 108*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d)^3 + 108*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d)^3 - 36*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d)^2 + 162*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d)^2 - 324*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d)^2 + 24*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 162*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 648*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 8*(x^(1/3)*e + d)^3*e^(-2) + 81*(x^(1/3)*e + d)^2*d*e^(-2) - 648*(x^(1/3)*e + d)*d^2*e^(-2))*b^3*n^3 + 6*(18*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d)^2 - 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d)^2 + 54*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d)^2 - 12*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) + 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) - 108*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) + 4*(x^(1/3)*e + d)^3*e^(-2) - 27*(x^(1/3)*e + d)^2*d*e^(-2) + 108*(x^(1/3)*e + d)*d^2*e^(-2))*b^3*n^2*log(c) + 18*(6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*b^3*n*log(c)^2 + 108*a*b^2*x*e*log(c)^2 + 6*(18*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d)^2 - 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d)^2 + 54*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d)^2 - 12*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) + 54*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) - 108*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) + 4*(x^(1/3)*e + d)^3*e^(-2) - 27*(x^(1/3)*e + d)^2*d*e^(-2) + 108*(x^(1/3)*e + d)*d^2*e^(-2))*a*b^2*n^2 + 36*(6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*a*b^2*n*log(c) + 108*a^2*b*x*e*log(c) + 18*(6*(x^(1/3)*e + d)^3*e^(-2)*log(x^(1/3)*e + d) - 18*(x^(1/3)*e + d)^2*d*e^(-2)*log(x^(1/3)*e + d) + 18*(x^(1/3)*e + d)*d^2*e^(-2)*log(x^(1/3)*e + d) - 2*(x^(1/3)*e + d)^3*e^(-2) + 9*(x^(1/3)*e + d)^2*d*e^(-2) - 18*(x^(1/3)*e + d)*d^2*e^(-2))*a^2*b*n + 36*a^3*x*e)*e^(-1)","B",0
460,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^3/x, x)","F",0
461,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^3/x^2, x)","F",0
462,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))^n))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^n*c) + a)^3/x^3, x)","F",0
463,1,266,0,0.335295," ","integrate(x^3*(a+b*log(c*(d+e*x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} \log\left(c\right) + \frac{1}{4} \, a x^{4} + \frac{1}{240} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b n e^{\left(-1\right)}"," ",0,"1/4*b*x^4*log(c) + 1/4*a*x^4 + 1/240*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*b*n*e^(-1)","B",0
464,1,104,0,0.321086," ","integrate(x^2*(a+b*log(c*(d+e*x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3} + \frac{1}{945} \, {\left(315 \, x^{3} \log\left(x^{\frac{2}{3}} e + d\right) + 2 \, {\left(315 \, d^{\frac{9}{2}} \arctan\left(\frac{x^{\frac{1}{3}} e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{11}{2}\right)} - {\left(315 \, d^{4} x^{\frac{1}{3}} e^{4} - 105 \, d^{3} x e^{5} + 63 \, d^{2} x^{\frac{5}{3}} e^{6} - 45 \, d x^{\frac{7}{3}} e^{7} + 35 \, x^{3} e^{8}\right)} e^{\left(-9\right)}\right)} e\right)} b n"," ",0,"1/3*b*x^3*log(c) + 1/3*a*x^3 + 1/945*(315*x^3*log(x^(2/3)*e + d) + 2*(315*d^(9/2)*arctan(x^(1/3)*e^(1/2)/sqrt(d))*e^(-11/2) - (315*d^4*x^(1/3)*e^4 - 105*d^3*x*e^5 + 63*d^2*x^(5/3)*e^6 - 45*d*x^(7/3)*e^7 + 35*x^3*e^8)*e^(-9))*e)*b*n","A",0
465,1,82,0,0.384399," ","integrate(x*(a+b*log(c*(d+e*x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{12} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} b n + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*x^2*log(c) + 1/12*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*b*n + 1/2*a*x^2","A",0
466,1,68,0,0.259083," ","integrate(a+b*log(c*(d+e*x^(2/3))^n),x, algorithm=""giac"")","-\frac{1}{3} \, {\left({\left(2 \, {\left(3 \, d^{\frac{3}{2}} \arctan\left(\frac{x^{\frac{1}{3}} e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\left(-\frac{5}{2}\right)} - {\left(3 \, d x^{\frac{1}{3}} e - x e^{2}\right)} e^{\left(-3\right)}\right)} e - 3 \, x \log\left(x^{\frac{2}{3}} e + d\right)\right)} n - 3 \, x \log\left(c\right)\right)} b + a x"," ",0,"-1/3*((2*(3*d^(3/2)*arctan(x^(1/3)*e^(1/2)/sqrt(d))*e^(-5/2) - (3*d*x^(1/3)*e - x*e^2)*e^(-3))*e - 3*x*log(x^(2/3)*e + d))*n - 3*x*log(c))*b + a*x","A",0
467,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)/x, x)","F",0
468,1,61,0,0.283990," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))/x^2,x, algorithm=""giac"")","-{\left(2 \, {\left(\frac{\arctan\left(\frac{x^{\frac{1}{3}} e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\frac{1}{2}}}{d^{\frac{3}{2}}} + \frac{1}{d x^{\frac{1}{3}}}\right)} e + \frac{\log\left(x^{\frac{2}{3}} e + d\right)}{x}\right)} b n - \frac{b \log\left(c\right)}{x} - \frac{a}{x}"," ",0,"-(2*(arctan(x^(1/3)*e^(1/2)/sqrt(d))*e^(1/2)/d^(3/2) + 1/(d*x^(1/3)))*e + log(x^(2/3)*e + d)/x)*b*n - b*log(c)/x - a/x","A",0
469,1,95,0,0.278197," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))/x^3,x, algorithm=""giac"")","\frac{1}{4} \, {\left({\left(\frac{2 \, \log\left(x^{\frac{2}{3}} e\right)}{d^{3}} - \frac{2 \, \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right)}{d^{3}} + \frac{{\left(2 \, {\left(x^{\frac{2}{3}} e + d\right)} d - 3 \, d^{2}\right)} e^{\left(-2\right)}}{d^{3} x^{\frac{4}{3}}}\right)} e^{4} - \frac{2 \, e \log\left(x^{\frac{2}{3}} e + d\right)}{x^{2}}\right)} b n e^{\left(-1\right)} - \frac{b \log\left(c\right)}{2 \, x^{2}} - \frac{a}{2 \, x^{2}}"," ",0,"1/4*((2*log(x^(2/3)*e)/d^3 - 2*log(abs(x^(2/3)*e + d))/d^3 + (2*(x^(2/3)*e + d)*d - 3*d^2)*e^(-2)/(d^3*x^(4/3)))*e^4 - 2*e*log(x^(2/3)*e + d)/x^2)*b*n*e^(-1) - 1/2*b*log(c)/x^2 - 1/2*a/x^2","A",0
470,1,94,0,0.325904," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))/x^4,x, algorithm=""giac"")","\frac{1}{315} \, {\left(2 \, {\left(\frac{105 \, \arctan\left(\frac{x^{\frac{1}{3}} e^{\frac{1}{2}}}{\sqrt{d}}\right) e^{\frac{7}{2}}}{d^{\frac{9}{2}}} + \frac{21 \, d^{2} x^{\frac{2}{3}} e - 35 \, d x^{\frac{4}{3}} e^{2} - 15 \, d^{3} + 105 \, x^{2} e^{3}}{d^{4} x^{\frac{7}{3}}}\right)} e - \frac{105 \, \log\left(x^{\frac{2}{3}} e + d\right)}{x^{3}}\right)} b n - \frac{b \log\left(c\right)}{3 \, x^{3}} - \frac{a}{3 \, x^{3}}"," ",0,"1/315*(2*(105*arctan(x^(1/3)*e^(1/2)/sqrt(d))*e^(7/2)/d^(9/2) + (21*d^2*x^(2/3)*e - 35*d*x^(4/3)*e^2 - 15*d^3 + 105*x^2*e^3)/(d^4*x^(7/3)))*e - 105*log(x^(2/3)*e + d)/x^3)*b*n - 1/3*b*log(c)/x^3 - 1/3*a/x^3","A",0
471,1,953,0,0.712185," ","integrate(x^3*(a+b*log(c*(d+e*x^(2/3))^n))^2,x, algorithm=""giac"")","\frac{1}{4} \, b^{2} x^{4} \log\left(c\right)^{2} + \frac{1}{2} \, a b x^{4} \log\left(c\right) + \frac{1}{4} \, a^{2} x^{4} + \frac{1}{7200} \, {\left(1800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 4320 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 24000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 100 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n^{2} e^{\left(-1\right)} + \frac{1}{120} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{2} n e^{\left(-1\right)} \log\left(c\right) + \frac{1}{120} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b n e^{\left(-1\right)}"," ",0,"1/4*b^2*x^4*log(c)^2 + 1/2*a*b*x^4*log(c) + 1/4*a^2*x^4 + 1/7200*(1800*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d)^2 - 36000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d)^2 - 600*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) + 4320*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) - 13500*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) + 24000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) - 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) + 21600*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) + 100*(x^(2/3)*e + d)^6*e^(-5) - 864*(x^(2/3)*e + d)^5*d*e^(-5) + 3375*(x^(2/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(2/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(2/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(2/3)*e + d)*d^5*e^(-5))*b^2*n^2*e^(-1) + 1/120*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*b^2*n*e^(-1)*log(c) + 1/120*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*a*b*n*e^(-1)","B",0
472,1,316,0,0.953724," ","integrate(x*(a+b*log(c*(d+e*x^(2/3))^n))^2,x, algorithm=""giac"")","\frac{1}{2} \, b^{2} x^{2} \log\left(c\right)^{2} + \frac{1}{36} \, {\left(18 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + {\left(18 \, d^{3} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} \log\left(x^{\frac{2}{3}} e + d\right) + 54 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d \log\left(x^{\frac{2}{3}} e + d\right) - 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2} \log\left(x^{\frac{2}{3}} e + d\right) + 4 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} - 27 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d + 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2}\right)} e^{\left(-3\right)}\right)} b^{2} n^{2} + \frac{1}{6} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} b^{2} n \log\left(c\right) + a b x^{2} \log\left(c\right) + \frac{1}{6} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} a b n + \frac{1}{2} \, a^{2} x^{2}"," ",0,"1/2*b^2*x^2*log(c)^2 + 1/36*(18*x^2*log(x^(2/3)*e + d)^2 + (18*d^3*log(x^(2/3)*e + d)^2 - 12*(x^(2/3)*e + d)^3*log(x^(2/3)*e + d) + 54*(x^(2/3)*e + d)^2*d*log(x^(2/3)*e + d) - 108*(x^(2/3)*e + d)*d^2*log(x^(2/3)*e + d) + 4*(x^(2/3)*e + d)^3 - 27*(x^(2/3)*e + d)^2*d + 108*(x^(2/3)*e + d)*d^2)*e^(-3))*b^2*n^2 + 1/6*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*b^2*n*log(c) + a*b*x^2*log(c) + 1/6*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*a*b*n + 1/2*a^2*x^2","A",0
473,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x, x)","F",0
474,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x^3, x)","F",0
475,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{5}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x^5, x)","F",0
476,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2*x^2, x)","F",0
477,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2, x)","F",0
478,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x^2, x)","F",0
479,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x^4, x)","F",0
480,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^2/x^6,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{2}}{x^{6}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^2/x^6, x)","F",0
481,1,2224,0,1.346257," ","integrate(x^3*(a+b*log(c*(d+e*x^(2/3))^n))^3,x, algorithm=""giac"")","\frac{1}{4} \, b^{3} x^{4} \log\left(c\right)^{3} + \frac{3}{4} \, a b^{2} x^{4} \log\left(c\right)^{2} + \frac{1}{144000} \, {\left(36000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} - 216000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} + 540000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} - 720000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} + 540000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} - 216000 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{3} - 18000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 129600 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 405000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 720000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 810000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 648000 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 6000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 51840 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 202500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 480000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 810000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1296000 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 10368 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 50625 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 160000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 405000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 1296000 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{3} e^{\left(-1\right)} + \frac{3}{4} \, a^{2} b x^{4} \log\left(c\right) + \frac{1}{2400} \, {\left(1800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 4320 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 24000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 100 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n^{2} e^{\left(-1\right)} \log\left(c\right) + \frac{1}{80} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} b^{3} n e^{\left(-1\right)} \log\left(c\right)^{2} + \frac{1}{4} \, a^{3} x^{4} + \frac{1}{2400} \, {\left(1800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 36000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 10800 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 600 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 4320 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 24000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 27000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 100 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} - 864 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} + 3375 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} - 8000 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} + 13500 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} - 21600 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n^{2} e^{\left(-1\right)} + \frac{1}{40} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a b^{2} n e^{\left(-1\right)} \log\left(c\right) + \frac{1}{80} \, {\left(60 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 1200 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) + 900 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)} \log\left(x^{\frac{2}{3}} e + d\right) - 10 \, {\left(x^{\frac{2}{3}} e + d\right)}^{6} e^{\left(-5\right)} + 72 \, {\left(x^{\frac{2}{3}} e + d\right)}^{5} d e^{\left(-5\right)} - 225 \, {\left(x^{\frac{2}{3}} e + d\right)}^{4} d^{2} e^{\left(-5\right)} + 400 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} d^{3} e^{\left(-5\right)} - 450 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d^{4} e^{\left(-5\right)} + 360 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{5} e^{\left(-5\right)}\right)} a^{2} b n e^{\left(-1\right)}"," ",0,"1/4*b^3*x^4*log(c)^3 + 3/4*a*b^2*x^4*log(c)^2 + 1/144000*(36000*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d)^3 - 216000*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d)^3 + 540000*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d)^3 - 720000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d)^3 + 540000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d)^3 - 216000*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d)^3 - 18000*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d)^2 + 129600*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d)^2 - 405000*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d)^2 + 720000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d)^2 - 810000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d)^2 + 648000*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d)^2 + 6000*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 51840*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 202500*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 480000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 810000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 1296000*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 1000*(x^(2/3)*e + d)^6*e^(-5) + 10368*(x^(2/3)*e + d)^5*d*e^(-5) - 50625*(x^(2/3)*e + d)^4*d^2*e^(-5) + 160000*(x^(2/3)*e + d)^3*d^3*e^(-5) - 405000*(x^(2/3)*e + d)^2*d^4*e^(-5) + 1296000*(x^(2/3)*e + d)*d^5*e^(-5))*b^3*n^3*e^(-1) + 3/4*a^2*b*x^4*log(c) + 1/2400*(1800*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d)^2 - 36000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d)^2 - 600*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) + 4320*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) - 13500*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) + 24000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) - 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) + 21600*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) + 100*(x^(2/3)*e + d)^6*e^(-5) - 864*(x^(2/3)*e + d)^5*d*e^(-5) + 3375*(x^(2/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(2/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(2/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(2/3)*e + d)*d^5*e^(-5))*b^3*n^2*e^(-1)*log(c) + 1/80*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*b^3*n*e^(-1)*log(c)^2 + 1/4*a^3*x^4 + 1/2400*(1800*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d)^2 - 36000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d)^2 + 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d)^2 - 10800*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d)^2 - 600*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) + 4320*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) - 13500*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) + 24000*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) - 27000*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) + 21600*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) + 100*(x^(2/3)*e + d)^6*e^(-5) - 864*(x^(2/3)*e + d)^5*d*e^(-5) + 3375*(x^(2/3)*e + d)^4*d^2*e^(-5) - 8000*(x^(2/3)*e + d)^3*d^3*e^(-5) + 13500*(x^(2/3)*e + d)^2*d^4*e^(-5) - 21600*(x^(2/3)*e + d)*d^5*e^(-5))*a*b^2*n^2*e^(-1) + 1/40*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*a*b^2*n*e^(-1)*log(c) + 1/80*(60*(x^(2/3)*e + d)^6*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)^5*d*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^4*d^2*e^(-5)*log(x^(2/3)*e + d) - 1200*(x^(2/3)*e + d)^3*d^3*e^(-5)*log(x^(2/3)*e + d) + 900*(x^(2/3)*e + d)^2*d^4*e^(-5)*log(x^(2/3)*e + d) - 360*(x^(2/3)*e + d)*d^5*e^(-5)*log(x^(2/3)*e + d) - 10*(x^(2/3)*e + d)^6*e^(-5) + 72*(x^(2/3)*e + d)^5*d*e^(-5) - 225*(x^(2/3)*e + d)^4*d^2*e^(-5) + 400*(x^(2/3)*e + d)^3*d^3*e^(-5) - 450*(x^(2/3)*e + d)^2*d^4*e^(-5) + 360*(x^(2/3)*e + d)*d^5*e^(-5))*a^2*b*n*e^(-1)","B",0
482,1,778,0,1.869007," ","integrate(x*(a+b*log(c*(d+e*x^(2/3))^n))^3,x, algorithm=""giac"")","\frac{1}{2} \, b^{3} x^{2} \log\left(c\right)^{3} + \frac{1}{72} \, {\left(36 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right)^{3} + {\left(36 \, d^{3} \log\left(x^{\frac{2}{3}} e + d\right)^{3} - 36 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 162 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 324 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + 24 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} \log\left(x^{\frac{2}{3}} e + d\right) - 162 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d \log\left(x^{\frac{2}{3}} e + d\right) + 648 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2} \log\left(x^{\frac{2}{3}} e + d\right) - 8 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} + 81 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d - 648 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2}\right)} e^{\left(-3\right)}\right)} b^{3} n^{3} + \frac{1}{12} \, {\left(18 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + {\left(18 \, d^{3} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} \log\left(x^{\frac{2}{3}} e + d\right) + 54 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d \log\left(x^{\frac{2}{3}} e + d\right) - 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2} \log\left(x^{\frac{2}{3}} e + d\right) + 4 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} - 27 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d + 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2}\right)} e^{\left(-3\right)}\right)} b^{3} n^{2} \log\left(c\right) + \frac{1}{4} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} b^{3} n \log\left(c\right)^{2} + \frac{3}{2} \, a b^{2} x^{2} \log\left(c\right)^{2} + \frac{1}{12} \, {\left(18 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right)^{2} + {\left(18 \, d^{3} \log\left(x^{\frac{2}{3}} e + d\right)^{2} - 12 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} \log\left(x^{\frac{2}{3}} e + d\right) + 54 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d \log\left(x^{\frac{2}{3}} e + d\right) - 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2} \log\left(x^{\frac{2}{3}} e + d\right) + 4 \, {\left(x^{\frac{2}{3}} e + d\right)}^{3} - 27 \, {\left(x^{\frac{2}{3}} e + d\right)}^{2} d + 108 \, {\left(x^{\frac{2}{3}} e + d\right)} d^{2}\right)} e^{\left(-3\right)}\right)} a b^{2} n^{2} + \frac{1}{2} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} a b^{2} n \log\left(c\right) + \frac{3}{2} \, a^{2} b x^{2} \log\left(c\right) + \frac{1}{4} \, {\left(6 \, x^{2} \log\left(x^{\frac{2}{3}} e + d\right) + {\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| x^{\frac{2}{3}} e + d \right|}\right) + {\left(3 \, d x^{\frac{4}{3}} e - 2 \, x^{2} e^{2} - 6 \, d^{2} x^{\frac{2}{3}}\right)} e^{\left(-3\right)}\right)} e\right)} a^{2} b n + \frac{1}{2} \, a^{3} x^{2}"," ",0,"1/2*b^3*x^2*log(c)^3 + 1/72*(36*x^2*log(x^(2/3)*e + d)^3 + (36*d^3*log(x^(2/3)*e + d)^3 - 36*(x^(2/3)*e + d)^3*log(x^(2/3)*e + d)^2 + 162*(x^(2/3)*e + d)^2*d*log(x^(2/3)*e + d)^2 - 324*(x^(2/3)*e + d)*d^2*log(x^(2/3)*e + d)^2 + 24*(x^(2/3)*e + d)^3*log(x^(2/3)*e + d) - 162*(x^(2/3)*e + d)^2*d*log(x^(2/3)*e + d) + 648*(x^(2/3)*e + d)*d^2*log(x^(2/3)*e + d) - 8*(x^(2/3)*e + d)^3 + 81*(x^(2/3)*e + d)^2*d - 648*(x^(2/3)*e + d)*d^2)*e^(-3))*b^3*n^3 + 1/12*(18*x^2*log(x^(2/3)*e + d)^2 + (18*d^3*log(x^(2/3)*e + d)^2 - 12*(x^(2/3)*e + d)^3*log(x^(2/3)*e + d) + 54*(x^(2/3)*e + d)^2*d*log(x^(2/3)*e + d) - 108*(x^(2/3)*e + d)*d^2*log(x^(2/3)*e + d) + 4*(x^(2/3)*e + d)^3 - 27*(x^(2/3)*e + d)^2*d + 108*(x^(2/3)*e + d)*d^2)*e^(-3))*b^3*n^2*log(c) + 1/4*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*b^3*n*log(c)^2 + 3/2*a*b^2*x^2*log(c)^2 + 1/12*(18*x^2*log(x^(2/3)*e + d)^2 + (18*d^3*log(x^(2/3)*e + d)^2 - 12*(x^(2/3)*e + d)^3*log(x^(2/3)*e + d) + 54*(x^(2/3)*e + d)^2*d*log(x^(2/3)*e + d) - 108*(x^(2/3)*e + d)*d^2*log(x^(2/3)*e + d) + 4*(x^(2/3)*e + d)^3 - 27*(x^(2/3)*e + d)^2*d + 108*(x^(2/3)*e + d)*d^2)*e^(-3))*a*b^2*n^2 + 1/2*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*a*b^2*n*log(c) + 3/2*a^2*b*x^2*log(c) + 1/4*(6*x^2*log(x^(2/3)*e + d) + (6*d^3*e^(-4)*log(abs(x^(2/3)*e + d)) + (3*d*x^(4/3)*e - 2*x^2*e^2 - 6*d^2*x^(2/3))*e^(-3))*e)*a^2*b*n + 1/2*a^3*x^2","B",0
483,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3/x, x)","F",0
484,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3/x^3, x)","F",0
485,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3} x^{2}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3*x^2, x)","F",0
486,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3, x)","F",0
487,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3/x^2, x)","F",0
488,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))^n))^3/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{n} c\right) + a\right)}^{3}}{x^{4}}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^n*c) + a)^3/x^4, x)","F",0
489,1,161,0,0.441709," ","integrate(x^3*(a+b*log(c*(d+e/x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} \log\left(c\right) + \frac{1}{4} \, a x^{4} + \frac{1}{110880} \, {\left(27720 \, x^{4} \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right) + {\left(\frac{2520 \, d^{10} x^{\frac{11}{3}} - 2772 \, d^{9} x^{\frac{10}{3}} e + 3080 \, d^{8} x^{3} e^{2} - 3465 \, d^{7} x^{\frac{8}{3}} e^{3} + 3960 \, d^{6} x^{\frac{7}{3}} e^{4} - 4620 \, d^{5} x^{2} e^{5} + 5544 \, d^{4} x^{\frac{5}{3}} e^{6} - 6930 \, d^{3} x^{\frac{4}{3}} e^{7} + 9240 \, d^{2} x e^{8} - 13860 \, d x^{\frac{2}{3}} e^{9} + 27720 \, x^{\frac{1}{3}} e^{10}}{d^{11}} - \frac{27720 \, e^{11} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right)}{d^{12}}\right)} e\right)} b n"," ",0,"1/4*b*x^4*log(c) + 1/4*a*x^4 + 1/110880*(27720*x^4*log(d + e/x^(1/3)) + ((2520*d^10*x^(11/3) - 2772*d^9*x^(10/3)*e + 3080*d^8*x^3*e^2 - 3465*d^7*x^(8/3)*e^3 + 3960*d^6*x^(7/3)*e^4 - 4620*d^5*x^2*e^5 + 5544*d^4*x^(5/3)*e^6 - 6930*d^3*x^(4/3)*e^7 + 9240*d^2*x*e^8 - 13860*d*x^(2/3)*e^9 + 27720*x^(1/3)*e^10)/d^11 - 27720*e^11*log(abs(d*x^(1/3) + e))/d^12)*e)*b*n","A",0
490,1,131,0,0.382019," ","integrate(x^2*(a+b*log(c*(d+e/x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3} + \frac{1}{2520} \, {\left(840 \, x^{3} \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right) + {\left(\frac{105 \, d^{7} x^{\frac{8}{3}} - 120 \, d^{6} x^{\frac{7}{3}} e + 140 \, d^{5} x^{2} e^{2} - 168 \, d^{4} x^{\frac{5}{3}} e^{3} + 210 \, d^{3} x^{\frac{4}{3}} e^{4} - 280 \, d^{2} x e^{5} + 420 \, d x^{\frac{2}{3}} e^{6} - 840 \, x^{\frac{1}{3}} e^{7}}{d^{8}} + \frac{840 \, e^{8} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right)}{d^{9}}\right)} e\right)} b n"," ",0,"1/3*b*x^3*log(c) + 1/3*a*x^3 + 1/2520*(840*x^3*log(d + e/x^(1/3)) + ((105*d^7*x^(8/3) - 120*d^6*x^(7/3)*e + 140*d^5*x^2*e^2 - 168*d^4*x^(5/3)*e^3 + 210*d^3*x^(4/3)*e^4 - 280*d^2*x*e^5 + 420*d*x^(2/3)*e^6 - 840*x^(1/3)*e^7)/d^8 + 840*e^8*log(abs(d*x^(1/3) + e))/d^9)*e)*b*n","A",0
491,1,101,0,0.363906," ","integrate(x*(a+b*log(c*(d+e/x^(1/3))^n)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{120} \, {\left(60 \, x^{2} \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right) + {\left(\frac{12 \, d^{4} x^{\frac{5}{3}} - 15 \, d^{3} x^{\frac{4}{3}} e + 20 \, d^{2} x e^{2} - 30 \, d x^{\frac{2}{3}} e^{3} + 60 \, x^{\frac{1}{3}} e^{4}}{d^{5}} - \frac{60 \, e^{5} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right)}{d^{6}}\right)} e\right)} b n + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*x^2*log(c) + 1/120*(60*x^2*log(d + e/x^(1/3)) + ((12*d^4*x^(5/3) - 15*d^3*x^(4/3)*e + 20*d^2*x*e^2 - 30*d*x^(2/3)*e^3 + 60*x^(1/3)*e^4)/d^5 - 60*e^5*log(abs(d*x^(1/3) + e))/d^6)*e)*b*n + 1/2*a*x^2","A",0
492,1,66,0,0.284804," ","integrate(a+b*log(c*(d+e/x^(1/3))^n),x, algorithm=""giac"")","\frac{1}{2} \, {\left({\left({\left(\frac{d x^{\frac{2}{3}} - 2 \, x^{\frac{1}{3}} e}{d^{2}} + \frac{2 \, e^{2} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right)}{d^{3}}\right)} e + 2 \, x \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right)\right)} n + 2 \, x \log\left(c\right)\right)} b + a x"," ",0,"1/2*((((d*x^(2/3) - 2*x^(1/3)*e)/d^2 + 2*e^2*log(abs(d*x^(1/3) + e))/d^3)*e + 2*x*log(d + e/x^(1/3)))*n + 2*x*log(c))*b + a*x","A",0
493,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)/x, x)","F",0
494,1,95,0,0.378316," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))/x^2,x, algorithm=""giac"")","-\frac{1}{6} \, {\left({\left(6 \, d^{3} e^{\left(-4\right)} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right) - 2 \, d^{3} e^{\left(-4\right)} \log\left({\left| x \right|}\right) - \frac{{\left(6 \, d^{2} x^{\frac{2}{3}} e - 3 \, d x^{\frac{1}{3}} e^{2} + 2 \, e^{3}\right)} e^{\left(-4\right)}}{x}\right)} e + \frac{6 \, \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}{x}\right)} b n - \frac{b \log\left(c\right)}{x} - \frac{a}{x}"," ",0,"-1/6*((6*d^3*e^(-4)*log(abs(d*x^(1/3) + e)) - 2*d^3*e^(-4)*log(abs(x)) - (6*d^2*x^(2/3)*e - 3*d*x^(1/3)*e^2 + 2*e^3)*e^(-4)/x)*e + 6*log(d + e/x^(1/3))/x)*b*n - b*log(c)/x - a/x","A",0
495,1,123,0,0.386518," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))/x^3,x, algorithm=""giac"")","\frac{1}{120} \, {\left({\left(60 \, d^{6} e^{\left(-7\right)} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right) - 20 \, d^{6} e^{\left(-7\right)} \log\left({\left| x \right|}\right) - \frac{{\left(60 \, d^{5} x^{\frac{5}{3}} e - 30 \, d^{4} x^{\frac{4}{3}} e^{2} + 20 \, d^{3} x e^{3} - 15 \, d^{2} x^{\frac{2}{3}} e^{4} + 12 \, d x^{\frac{1}{3}} e^{5} - 10 \, e^{6}\right)} e^{\left(-7\right)}}{x^{2}}\right)} e - \frac{60 \, \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}{x^{2}}\right)} b n - \frac{b \log\left(c\right)}{2 \, x^{2}} - \frac{a}{2 \, x^{2}}"," ",0,"1/120*((60*d^6*e^(-7)*log(abs(d*x^(1/3) + e)) - 20*d^6*e^(-7)*log(abs(x)) - (60*d^5*x^(5/3)*e - 30*d^4*x^(4/3)*e^2 + 20*d^3*x*e^3 - 15*d^2*x^(2/3)*e^4 + 12*d*x^(1/3)*e^5 - 10*e^6)*e^(-7)/x^2)*e - 60*log(d + e/x^(1/3))/x^2)*b*n - 1/2*b*log(c)/x^2 - 1/2*a/x^2","A",0
496,1,153,0,0.411750," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))/x^4,x, algorithm=""giac"")","-\frac{1}{7560} \, {\left({\left(2520 \, d^{9} e^{\left(-10\right)} \log\left({\left| d x^{\frac{1}{3}} + e \right|}\right) - 840 \, d^{9} e^{\left(-10\right)} \log\left({\left| x \right|}\right) - \frac{{\left(2520 \, d^{8} x^{\frac{8}{3}} e - 1260 \, d^{7} x^{\frac{7}{3}} e^{2} + 840 \, d^{6} x^{2} e^{3} - 630 \, d^{5} x^{\frac{5}{3}} e^{4} + 504 \, d^{4} x^{\frac{4}{3}} e^{5} - 420 \, d^{3} x e^{6} + 360 \, d^{2} x^{\frac{2}{3}} e^{7} - 315 \, d x^{\frac{1}{3}} e^{8} + 280 \, e^{9}\right)} e^{\left(-10\right)}}{x^{3}}\right)} e + \frac{2520 \, \log\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}{x^{3}}\right)} b n - \frac{b \log\left(c\right)}{3 \, x^{3}} - \frac{a}{3 \, x^{3}}"," ",0,"-1/7560*((2520*d^9*e^(-10)*log(abs(d*x^(1/3) + e)) - 840*d^9*e^(-10)*log(abs(x)) - (2520*d^8*x^(8/3)*e - 1260*d^7*x^(7/3)*e^2 + 840*d^6*x^2*e^3 - 630*d^5*x^(5/3)*e^4 + 504*d^4*x^(4/3)*e^5 - 420*d^3*x*e^6 + 360*d^2*x^(2/3)*e^7 - 315*d*x^(1/3)*e^8 + 280*e^9)*e^(-10)/x^3)*e + 2520*log(d + e/x^(1/3))/x^3)*b*n - 1/3*b*log(c)/x^3 - 1/3*a/x^3","A",0
497,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(1/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^2*x^2, x)","F",0
498,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^2*x, x)","F",0
499,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^2, x)","F",0
500,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^2/x, x)","F",0
501,1,787,0,0.397510," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^2/x^2,x, algorithm=""giac"")","-\frac{1}{18} \, {\left(\frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} - \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} + \frac{18 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{12 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} n^{2}}{x^{\frac{1}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} n \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{2} \log\left(c\right)^{2}}{x^{\frac{1}{3}}} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{2} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{27 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d n^{2}}{x^{\frac{2}{3}}} + \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d n \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d \log\left(c\right)^{2}}{x^{\frac{2}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{4 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} n^{2}}{x} - \frac{12 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} n \log\left(c\right)}{x} + \frac{18 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} \log\left(c\right)^{2}}{x} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{2} n}{x^{\frac{1}{3}}} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{2} \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d n}{x^{\frac{2}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{12 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b n}{x} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b \log\left(c\right)}{x} + \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} d^{2}}{x^{\frac{1}{3}}} - \frac{54 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} d}{x^{\frac{2}{3}}} + \frac{18 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2}}{x}\right)} e^{\left(-3\right)}"," ",0,"-1/18*(54*(d*x^(1/3) + e)*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) - 54*(d*x^(1/3) + e)^2*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) + 18*(d*x^(1/3) + e)^3*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x - 108*(d*x^(1/3) + e)*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 108*(d*x^(1/3) + e)*b^2*d^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 54*(d*x^(1/3) + e)^2*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 108*(d*x^(1/3) + e)^2*b^2*d*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 12*(d*x^(1/3) + e)^3*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x + 36*(d*x^(1/3) + e)^3*b^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x + 108*(d*x^(1/3) + e)*b^2*d^2*n^2/x^(1/3) - 108*(d*x^(1/3) + e)*b^2*d^2*n*log(c)/x^(1/3) + 54*(d*x^(1/3) + e)*b^2*d^2*log(c)^2/x^(1/3) + 108*(d*x^(1/3) + e)*a*b*d^2*n*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 27*(d*x^(1/3) + e)^2*b^2*d*n^2/x^(2/3) + 54*(d*x^(1/3) + e)^2*b^2*d*n*log(c)/x^(2/3) - 54*(d*x^(1/3) + e)^2*b^2*d*log(c)^2/x^(2/3) - 108*(d*x^(1/3) + e)^2*a*b*d*n*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 4*(d*x^(1/3) + e)^3*b^2*n^2/x - 12*(d*x^(1/3) + e)^3*b^2*n*log(c)/x + 18*(d*x^(1/3) + e)^3*b^2*log(c)^2/x + 36*(d*x^(1/3) + e)^3*a*b*n*log((d*x^(1/3) + e)/x^(1/3))/x - 108*(d*x^(1/3) + e)*a*b*d^2*n/x^(1/3) + 108*(d*x^(1/3) + e)*a*b*d^2*log(c)/x^(1/3) + 54*(d*x^(1/3) + e)^2*a*b*d*n/x^(2/3) - 108*(d*x^(1/3) + e)^2*a*b*d*log(c)/x^(2/3) - 12*(d*x^(1/3) + e)^3*a*b*n/x + 36*(d*x^(1/3) + e)^3*a*b*log(c)/x + 54*(d*x^(1/3) + e)*a^2*d^2/x^(1/3) - 54*(d*x^(1/3) + e)^2*a^2*d/x^(2/3) + 18*(d*x^(1/3) + e)^3*a^2/x)*e^(-3)","B",0
502,1,1639,0,0.589381," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^2/x^3,x, algorithm=""giac"")","\frac{1}{3600} \, {\left(\frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} - \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{4}{3}}} + \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{5}{3}}} - \frac{24000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{72000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{1800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{2}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} n^{2}}{x^{\frac{1}{3}}} - \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} n \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{2} d^{5} \log\left(c\right)^{2}}{x^{\frac{1}{3}}} + \frac{13500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{5} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} - \frac{13500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} n^{2}}{x^{\frac{2}{3}}} + \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} n \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{2} d^{4} \log\left(c\right)^{2}}{x^{\frac{2}{3}}} - \frac{4320 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d^{4} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} + \frac{8000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} n^{2}}{x} - \frac{24000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} n \log\left(c\right)}{x} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{2} d^{3} \log\left(c\right)^{2}}{x} + \frac{600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} + \frac{72000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b d^{3} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{3600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} - \frac{3375 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} n^{2}}{x^{\frac{4}{3}}} - \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{5} n}{x^{\frac{1}{3}}} + \frac{13500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} n \log\left(c\right)}{x^{\frac{4}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)} a b d^{5} \log\left(c\right)}{x^{\frac{1}{3}}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{2} d^{2} \log\left(c\right)^{2}}{x^{\frac{4}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b d^{2} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} + \frac{864 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d n^{2}}{x^{\frac{5}{3}}} + \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d^{4} n}{x^{\frac{2}{3}}} - \frac{4320 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d n \log\left(c\right)}{x^{\frac{5}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b d^{4} \log\left(c\right)}{x^{\frac{2}{3}}} + \frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{2} d \log\left(c\right)^{2}}{x^{\frac{5}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b d n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} - \frac{100 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} n^{2}}{x^{2}} - \frac{24000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b d^{3} n}{x} + \frac{600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} n \log\left(c\right)}{x^{2}} + \frac{72000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b d^{3} \log\left(c\right)}{x} - \frac{1800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{2} \log\left(c\right)^{2}}{x^{2}} - \frac{3600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} + \frac{13500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b d^{2} n}{x^{\frac{4}{3}}} + \frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} d^{5}}{x^{\frac{1}{3}}} - \frac{54000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b d^{2} \log\left(c\right)}{x^{\frac{4}{3}}} - \frac{4320 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b d n}{x^{\frac{5}{3}}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} d^{4}}{x^{\frac{2}{3}}} + \frac{21600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b d \log\left(c\right)}{x^{\frac{5}{3}}} + \frac{600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b n}{x^{2}} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} d^{3}}{x} - \frac{3600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b \log\left(c\right)}{x^{2}} - \frac{27000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a^{2} d^{2}}{x^{\frac{4}{3}}} + \frac{10800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a^{2} d}{x^{\frac{5}{3}}} - \frac{1800 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a^{2}}{x^{2}}\right)} e^{\left(-6\right)}"," ",0,"1/3600*(10800*(d*x^(1/3) + e)*b^2*d^5*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) - 27000*(d*x^(1/3) + e)^2*b^2*d^4*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) + 36000*(d*x^(1/3) + e)^3*b^2*d^3*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x - 21600*(d*x^(1/3) + e)*b^2*d^5*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 21600*(d*x^(1/3) + e)*b^2*d^5*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 27000*(d*x^(1/3) + e)^4*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(4/3) + 27000*(d*x^(1/3) + e)^2*b^2*d^4*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 54000*(d*x^(1/3) + e)^2*b^2*d^4*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 10800*(d*x^(1/3) + e)^5*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(5/3) - 24000*(d*x^(1/3) + e)^3*b^2*d^3*n^2*log((d*x^(1/3) + e)/x^(1/3))/x + 72000*(d*x^(1/3) + e)^3*b^2*d^3*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x - 1800*(d*x^(1/3) + e)^6*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^2 + 21600*(d*x^(1/3) + e)*b^2*d^5*n^2/x^(1/3) - 21600*(d*x^(1/3) + e)*b^2*d^5*n*log(c)/x^(1/3) + 10800*(d*x^(1/3) + e)*b^2*d^5*log(c)^2/x^(1/3) + 13500*(d*x^(1/3) + e)^4*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) + 21600*(d*x^(1/3) + e)*a*b*d^5*n*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 54000*(d*x^(1/3) + e)^4*b^2*d^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) - 13500*(d*x^(1/3) + e)^2*b^2*d^4*n^2/x^(2/3) + 27000*(d*x^(1/3) + e)^2*b^2*d^4*n*log(c)/x^(2/3) - 27000*(d*x^(1/3) + e)^2*b^2*d^4*log(c)^2/x^(2/3) - 4320*(d*x^(1/3) + e)^5*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) - 54000*(d*x^(1/3) + e)^2*a*b*d^4*n*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 21600*(d*x^(1/3) + e)^5*b^2*d*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) + 8000*(d*x^(1/3) + e)^3*b^2*d^3*n^2/x - 24000*(d*x^(1/3) + e)^3*b^2*d^3*n*log(c)/x + 36000*(d*x^(1/3) + e)^3*b^2*d^3*log(c)^2/x + 600*(d*x^(1/3) + e)^6*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^2 + 72000*(d*x^(1/3) + e)^3*a*b*d^3*n*log((d*x^(1/3) + e)/x^(1/3))/x - 3600*(d*x^(1/3) + e)^6*b^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^2 - 3375*(d*x^(1/3) + e)^4*b^2*d^2*n^2/x^(4/3) - 21600*(d*x^(1/3) + e)*a*b*d^5*n/x^(1/3) + 13500*(d*x^(1/3) + e)^4*b^2*d^2*n*log(c)/x^(4/3) + 21600*(d*x^(1/3) + e)*a*b*d^5*log(c)/x^(1/3) - 27000*(d*x^(1/3) + e)^4*b^2*d^2*log(c)^2/x^(4/3) - 54000*(d*x^(1/3) + e)^4*a*b*d^2*n*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) + 864*(d*x^(1/3) + e)^5*b^2*d*n^2/x^(5/3) + 27000*(d*x^(1/3) + e)^2*a*b*d^4*n/x^(2/3) - 4320*(d*x^(1/3) + e)^5*b^2*d*n*log(c)/x^(5/3) - 54000*(d*x^(1/3) + e)^2*a*b*d^4*log(c)/x^(2/3) + 10800*(d*x^(1/3) + e)^5*b^2*d*log(c)^2/x^(5/3) + 21600*(d*x^(1/3) + e)^5*a*b*d*n*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) - 100*(d*x^(1/3) + e)^6*b^2*n^2/x^2 - 24000*(d*x^(1/3) + e)^3*a*b*d^3*n/x + 600*(d*x^(1/3) + e)^6*b^2*n*log(c)/x^2 + 72000*(d*x^(1/3) + e)^3*a*b*d^3*log(c)/x - 1800*(d*x^(1/3) + e)^6*b^2*log(c)^2/x^2 - 3600*(d*x^(1/3) + e)^6*a*b*n*log((d*x^(1/3) + e)/x^(1/3))/x^2 + 13500*(d*x^(1/3) + e)^4*a*b*d^2*n/x^(4/3) + 10800*(d*x^(1/3) + e)*a^2*d^5/x^(1/3) - 54000*(d*x^(1/3) + e)^4*a*b*d^2*log(c)/x^(4/3) - 4320*(d*x^(1/3) + e)^5*a*b*d*n/x^(5/3) - 27000*(d*x^(1/3) + e)^2*a^2*d^4/x^(2/3) + 21600*(d*x^(1/3) + e)^5*a*b*d*log(c)/x^(5/3) + 600*(d*x^(1/3) + e)^6*a*b*n/x^2 + 36000*(d*x^(1/3) + e)^3*a^2*d^3/x - 3600*(d*x^(1/3) + e)^6*a*b*log(c)/x^2 - 27000*(d*x^(1/3) + e)^4*a^2*d^2/x^(4/3) + 10800*(d*x^(1/3) + e)^5*a^2*d/x^(5/3) - 1800*(d*x^(1/3) + e)^6*a^2/x^2)*e^(-6)","B",0
503,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{3} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^3*x, x)","F",0
504,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^3, x)","F",0
505,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{n}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^n) + a)^3/x, x)","F",0
506,1,1758,0,0.699738," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^3/x^2,x, algorithm=""giac"")","-\frac{1}{36} \, {\left(\frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{1}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{2}{3}}} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} + \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} - \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} + \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} - \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} + \frac{24 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{72 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} - \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{3}}{x^{\frac{1}{3}}} + \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n^{2} \log\left(c\right)}{x^{\frac{1}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} n \log\left(c\right)^{2}}{x^{\frac{1}{3}}} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{2} \log\left(c\right)^{3}}{x^{\frac{1}{3}}} - \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{81 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{3}}{x^{\frac{2}{3}}} - \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n^{2} \log\left(c\right)}{x^{\frac{2}{3}}} + \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d n \log\left(c\right)^{2}}{x^{\frac{2}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d \log\left(c\right)^{3}}{x^{\frac{2}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{8 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{3}}{x} + \frac{24 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n^{2} \log\left(c\right)}{x} - \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} n \log\left(c\right)^{2}}{x} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} \log\left(c\right)^{3}}{x} - \frac{72 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{216 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} n^{2}}{x^{\frac{1}{3}}} - \frac{648 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} n \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{2} \log\left(c\right)^{2}}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{2} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d n^{2}}{x^{\frac{2}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d n \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d \log\left(c\right)^{2}}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{24 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} n^{2}}{x} - \frac{72 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} n \log\left(c\right)}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} \log\left(c\right)^{2}}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{2} n}{x^{\frac{1}{3}}} + \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{2} \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{162 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d n}{x^{\frac{2}{3}}} - \frac{324 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b n}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b \log\left(c\right)}{x} + \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{3} d^{2}}{x^{\frac{1}{3}}} - \frac{108 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{3} d}{x^{\frac{2}{3}}} + \frac{36 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{3}}{x}\right)} e^{\left(-3\right)}"," ",0,"-1/36*(108*(d*x^(1/3) + e)*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(1/3) - 108*(d*x^(1/3) + e)^2*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(2/3) + 36*(d*x^(1/3) + e)^3*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x - 324*(d*x^(1/3) + e)*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) + 324*(d*x^(1/3) + e)*b^3*d^2*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) + 162*(d*x^(1/3) + e)^2*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) - 324*(d*x^(1/3) + e)^2*b^3*d*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) - 36*(d*x^(1/3) + e)^3*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x + 108*(d*x^(1/3) + e)^3*b^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x + 648*(d*x^(1/3) + e)*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 648*(d*x^(1/3) + e)*b^3*d^2*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 324*(d*x^(1/3) + e)*b^3*d^2*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 324*(d*x^(1/3) + e)*a*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) - 162*(d*x^(1/3) + e)^2*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 324*(d*x^(1/3) + e)^2*b^3*d*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 324*(d*x^(1/3) + e)^2*b^3*d*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 324*(d*x^(1/3) + e)^2*a*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) + 24*(d*x^(1/3) + e)^3*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))/x - 72*(d*x^(1/3) + e)^3*b^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x + 108*(d*x^(1/3) + e)^3*b^3*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x + 108*(d*x^(1/3) + e)^3*a*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x - 648*(d*x^(1/3) + e)*b^3*d^2*n^3/x^(1/3) + 648*(d*x^(1/3) + e)*b^3*d^2*n^2*log(c)/x^(1/3) - 324*(d*x^(1/3) + e)*b^3*d^2*n*log(c)^2/x^(1/3) + 108*(d*x^(1/3) + e)*b^3*d^2*log(c)^3/x^(1/3) - 648*(d*x^(1/3) + e)*a*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 648*(d*x^(1/3) + e)*a*b^2*d^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 81*(d*x^(1/3) + e)^2*b^3*d*n^3/x^(2/3) - 162*(d*x^(1/3) + e)^2*b^3*d*n^2*log(c)/x^(2/3) + 162*(d*x^(1/3) + e)^2*b^3*d*n*log(c)^2/x^(2/3) - 108*(d*x^(1/3) + e)^2*b^3*d*log(c)^3/x^(2/3) + 324*(d*x^(1/3) + e)^2*a*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 648*(d*x^(1/3) + e)^2*a*b^2*d*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 8*(d*x^(1/3) + e)^3*b^3*n^3/x + 24*(d*x^(1/3) + e)^3*b^3*n^2*log(c)/x - 36*(d*x^(1/3) + e)^3*b^3*n*log(c)^2/x + 36*(d*x^(1/3) + e)^3*b^3*log(c)^3/x - 72*(d*x^(1/3) + e)^3*a*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x + 216*(d*x^(1/3) + e)^3*a*b^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x + 648*(d*x^(1/3) + e)*a*b^2*d^2*n^2/x^(1/3) - 648*(d*x^(1/3) + e)*a*b^2*d^2*n*log(c)/x^(1/3) + 324*(d*x^(1/3) + e)*a*b^2*d^2*log(c)^2/x^(1/3) + 324*(d*x^(1/3) + e)*a^2*b*d^2*n*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 162*(d*x^(1/3) + e)^2*a*b^2*d*n^2/x^(2/3) + 324*(d*x^(1/3) + e)^2*a*b^2*d*n*log(c)/x^(2/3) - 324*(d*x^(1/3) + e)^2*a*b^2*d*log(c)^2/x^(2/3) - 324*(d*x^(1/3) + e)^2*a^2*b*d*n*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 24*(d*x^(1/3) + e)^3*a*b^2*n^2/x - 72*(d*x^(1/3) + e)^3*a*b^2*n*log(c)/x + 108*(d*x^(1/3) + e)^3*a*b^2*log(c)^2/x + 108*(d*x^(1/3) + e)^3*a^2*b*n*log((d*x^(1/3) + e)/x^(1/3))/x - 324*(d*x^(1/3) + e)*a^2*b*d^2*n/x^(1/3) + 324*(d*x^(1/3) + e)*a^2*b*d^2*log(c)/x^(1/3) + 162*(d*x^(1/3) + e)^2*a^2*b*d*n/x^(2/3) - 324*(d*x^(1/3) + e)^2*a^2*b*d*log(c)/x^(2/3) - 36*(d*x^(1/3) + e)^3*a^2*b*n/x + 108*(d*x^(1/3) + e)^3*a^2*b*log(c)/x + 108*(d*x^(1/3) + e)*a^3*d^2/x^(1/3) - 108*(d*x^(1/3) + e)^2*a^3*d/x^(2/3) + 36*(d*x^(1/3) + e)^3*a^3/x)*e^(-3)","B",0
507,1,3651,0,0.892900," ","integrate((a+b*log(c*(d+e/x^(1/3))^n))^3/x^3,x, algorithm=""giac"")","\frac{1}{72000} \, {\left(\frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{1}{3}}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{2}{3}}} + \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x} - \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{4}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} + \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{\frac{5}{3}}} - \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} - \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{3}}{x^{2}} + \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{405000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{4}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{1}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{4}{3}}} - \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{129600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{5}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{2}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{5}{3}}} + \frac{480000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{1440000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{18000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{2}} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{2}} - \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{3}}{x^{\frac{1}{3}}} + \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n^{2} \log\left(c\right)}{x^{\frac{1}{3}}} - \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} n \log\left(c\right)^{2}}{x^{\frac{1}{3}}} + \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)} b^{3} d^{5} \log\left(c\right)^{3}}{x^{\frac{1}{3}}} - \frac{202500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} - \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} + \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{4}{3}}} + \frac{405000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{3}}{x^{\frac{2}{3}}} - \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n^{2} \log\left(c\right)}{x^{\frac{2}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} n \log\left(c\right)^{2}}{x^{\frac{2}{3}}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} b^{3} d^{4} \log\left(c\right)^{3}}{x^{\frac{2}{3}}} + \frac{51840 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} + \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} - \frac{259200 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} - \frac{3240000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{\frac{5}{3}}} - \frac{160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{3}}{x} + \frac{480000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n^{2} \log\left(c\right)}{x} - \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} n \log\left(c\right)^{2}}{x} + \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} b^{3} d^{3} \log\left(c\right)^{3}}{x} - \frac{6000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{3} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} - \frac{1440000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{2} \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} + \frac{4320000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n \log\left(c\right)^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)^{2}}{x^{2}} + \frac{50625 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{3}}{x^{\frac{4}{3}}} + \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} n^{2}}{x^{\frac{1}{3}}} - \frac{202500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n^{2} \log\left(c\right)}{x^{\frac{4}{3}}} - \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} n \log\left(c\right)}{x^{\frac{1}{3}}} + \frac{405000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} n \log\left(c\right)^{2}}{x^{\frac{4}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} a b^{2} d^{5} \log\left(c\right)^{2}}{x^{\frac{1}{3}}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} b^{3} d^{2} \log\left(c\right)^{3}}{x^{\frac{4}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{5} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{1}{3}}} - \frac{3240000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} - \frac{10368 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{3}}{x^{\frac{5}{3}}} - \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} n^{2}}{x^{\frac{2}{3}}} + \frac{51840 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n^{2} \log\left(c\right)}{x^{\frac{5}{3}}} + \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} n \log\left(c\right)}{x^{\frac{2}{3}}} - \frac{129600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d n \log\left(c\right)^{2}}{x^{\frac{5}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a b^{2} d^{4} \log\left(c\right)^{2}}{x^{\frac{2}{3}}} + \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} b^{3} d \log\left(c\right)^{3}}{x^{\frac{5}{3}}} - \frac{259200 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d^{4} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{2}{3}}} + \frac{1296000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} + \frac{1000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{3}}{x^{2}} + \frac{480000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} n^{2}}{x} - \frac{6000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n^{2} \log\left(c\right)}{x^{2}} - \frac{1440000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} n \log\left(c\right)}{x} + \frac{18000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} n \log\left(c\right)^{2}}{x^{2}} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a b^{2} d^{3} \log\left(c\right)^{2}}{x} - \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} b^{3} \log\left(c\right)^{3}}{x^{2}} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} n^{2} \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b d^{3} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x} - \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} n \log\left(c\right) \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} - \frac{202500 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} n^{2}}{x^{\frac{4}{3}}} - \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{5} n}{x^{\frac{1}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} n \log\left(c\right)}{x^{\frac{4}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{2} b d^{5} \log\left(c\right)}{x^{\frac{1}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a b^{2} d^{2} \log\left(c\right)^{2}}{x^{\frac{4}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a^{2} b d^{2} n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{4}{3}}} + \frac{51840 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d n^{2}}{x^{\frac{5}{3}}} + \frac{810000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d^{4} n}{x^{\frac{2}{3}}} - \frac{259200 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d n \log\left(c\right)}{x^{\frac{5}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{2} b d^{4} \log\left(c\right)}{x^{\frac{2}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a b^{2} d \log\left(c\right)^{2}}{x^{\frac{5}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a^{2} b d n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{\frac{5}{3}}} - \frac{6000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} n^{2}}{x^{2}} - \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b d^{3} n}{x} + \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} n \log\left(c\right)}{x^{2}} + \frac{2160000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{2} b d^{3} \log\left(c\right)}{x} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a b^{2} \log\left(c\right)^{2}}{x^{2}} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a^{2} b n \log\left(\frac{d x^{\frac{1}{3}} + e}{x^{\frac{1}{3}}}\right)}{x^{2}} + \frac{405000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a^{2} b d^{2} n}{x^{\frac{4}{3}}} + \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)} a^{3} d^{5}}{x^{\frac{1}{3}}} - \frac{1620000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a^{2} b d^{2} \log\left(c\right)}{x^{\frac{4}{3}}} - \frac{129600 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a^{2} b d n}{x^{\frac{5}{3}}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{2} a^{3} d^{4}}{x^{\frac{2}{3}}} + \frac{648000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a^{2} b d \log\left(c\right)}{x^{\frac{5}{3}}} + \frac{18000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a^{2} b n}{x^{2}} + \frac{720000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{3} a^{3} d^{3}}{x} - \frac{108000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a^{2} b \log\left(c\right)}{x^{2}} - \frac{540000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{4} a^{3} d^{2}}{x^{\frac{4}{3}}} + \frac{216000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{5} a^{3} d}{x^{\frac{5}{3}}} - \frac{36000 \, {\left(d x^{\frac{1}{3}} + e\right)}^{6} a^{3}}{x^{2}}\right)} e^{\left(-6\right)}"," ",0,"1/72000*(216000*(d*x^(1/3) + e)*b^3*d^5*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(1/3) - 540000*(d*x^(1/3) + e)^2*b^3*d^4*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(2/3) + 720000*(d*x^(1/3) + e)^3*b^3*d^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x - 648000*(d*x^(1/3) + e)*b^3*d^5*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) + 648000*(d*x^(1/3) + e)*b^3*d^5*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) - 540000*(d*x^(1/3) + e)^4*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(4/3) + 810000*(d*x^(1/3) + e)^2*b^3*d^4*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) - 1620000*(d*x^(1/3) + e)^2*b^3*d^4*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) + 216000*(d*x^(1/3) + e)^5*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^(5/3) - 720000*(d*x^(1/3) + e)^3*b^3*d^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x + 2160000*(d*x^(1/3) + e)^3*b^3*d^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x - 36000*(d*x^(1/3) + e)^6*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^3/x^2 + 1296000*(d*x^(1/3) + e)*b^3*d^5*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 1296000*(d*x^(1/3) + e)*b^3*d^5*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 648000*(d*x^(1/3) + e)*b^3*d^5*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 405000*(d*x^(1/3) + e)^4*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(4/3) + 648000*(d*x^(1/3) + e)*a*b^2*d^5*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(1/3) - 1620000*(d*x^(1/3) + e)^4*b^3*d^2*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(4/3) - 810000*(d*x^(1/3) + e)^2*b^3*d^4*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 1620000*(d*x^(1/3) + e)^2*b^3*d^4*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 1620000*(d*x^(1/3) + e)^2*b^3*d^4*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 129600*(d*x^(1/3) + e)^5*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^(5/3) - 1620000*(d*x^(1/3) + e)^2*a*b^2*d^4*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(2/3) + 648000*(d*x^(1/3) + e)^5*b^3*d*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^(5/3) + 480000*(d*x^(1/3) + e)^3*b^3*d^3*n^3*log((d*x^(1/3) + e)/x^(1/3))/x - 1440000*(d*x^(1/3) + e)^3*b^3*d^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x + 2160000*(d*x^(1/3) + e)^3*b^3*d^3*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x + 18000*(d*x^(1/3) + e)^6*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))^2/x^2 + 2160000*(d*x^(1/3) + e)^3*a*b^2*d^3*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x - 108000*(d*x^(1/3) + e)^6*b^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))^2/x^2 - 1296000*(d*x^(1/3) + e)*b^3*d^5*n^3/x^(1/3) + 1296000*(d*x^(1/3) + e)*b^3*d^5*n^2*log(c)/x^(1/3) - 648000*(d*x^(1/3) + e)*b^3*d^5*n*log(c)^2/x^(1/3) + 216000*(d*x^(1/3) + e)*b^3*d^5*log(c)^3/x^(1/3) - 202500*(d*x^(1/3) + e)^4*b^3*d^2*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) - 1296000*(d*x^(1/3) + e)*a*b^2*d^5*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) + 810000*(d*x^(1/3) + e)^4*b^3*d^2*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) + 1296000*(d*x^(1/3) + e)*a*b^2*d^5*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 1620000*(d*x^(1/3) + e)^4*b^3*d^2*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) - 1620000*(d*x^(1/3) + e)^4*a*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(4/3) + 405000*(d*x^(1/3) + e)^2*b^3*d^4*n^3/x^(2/3) - 810000*(d*x^(1/3) + e)^2*b^3*d^4*n^2*log(c)/x^(2/3) + 810000*(d*x^(1/3) + e)^2*b^3*d^4*n*log(c)^2/x^(2/3) - 540000*(d*x^(1/3) + e)^2*b^3*d^4*log(c)^3/x^(2/3) + 51840*(d*x^(1/3) + e)^5*b^3*d*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) + 1620000*(d*x^(1/3) + e)^2*a*b^2*d^4*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) - 259200*(d*x^(1/3) + e)^5*b^3*d*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) - 3240000*(d*x^(1/3) + e)^2*a*b^2*d^4*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 648000*(d*x^(1/3) + e)^5*b^3*d*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) + 648000*(d*x^(1/3) + e)^5*a*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^(5/3) - 160000*(d*x^(1/3) + e)^3*b^3*d^3*n^3/x + 480000*(d*x^(1/3) + e)^3*b^3*d^3*n^2*log(c)/x - 720000*(d*x^(1/3) + e)^3*b^3*d^3*n*log(c)^2/x + 720000*(d*x^(1/3) + e)^3*b^3*d^3*log(c)^3/x - 6000*(d*x^(1/3) + e)^6*b^3*n^3*log((d*x^(1/3) + e)/x^(1/3))/x^2 - 1440000*(d*x^(1/3) + e)^3*a*b^2*d^3*n^2*log((d*x^(1/3) + e)/x^(1/3))/x + 36000*(d*x^(1/3) + e)^6*b^3*n^2*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^2 + 4320000*(d*x^(1/3) + e)^3*a*b^2*d^3*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x - 108000*(d*x^(1/3) + e)^6*b^3*n*log(c)^2*log((d*x^(1/3) + e)/x^(1/3))/x^2 - 108000*(d*x^(1/3) + e)^6*a*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))^2/x^2 + 50625*(d*x^(1/3) + e)^4*b^3*d^2*n^3/x^(4/3) + 1296000*(d*x^(1/3) + e)*a*b^2*d^5*n^2/x^(1/3) - 202500*(d*x^(1/3) + e)^4*b^3*d^2*n^2*log(c)/x^(4/3) - 1296000*(d*x^(1/3) + e)*a*b^2*d^5*n*log(c)/x^(1/3) + 405000*(d*x^(1/3) + e)^4*b^3*d^2*n*log(c)^2/x^(4/3) + 648000*(d*x^(1/3) + e)*a*b^2*d^5*log(c)^2/x^(1/3) - 540000*(d*x^(1/3) + e)^4*b^3*d^2*log(c)^3/x^(4/3) + 810000*(d*x^(1/3) + e)^4*a*b^2*d^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) + 648000*(d*x^(1/3) + e)*a^2*b*d^5*n*log((d*x^(1/3) + e)/x^(1/3))/x^(1/3) - 3240000*(d*x^(1/3) + e)^4*a*b^2*d^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) - 10368*(d*x^(1/3) + e)^5*b^3*d*n^3/x^(5/3) - 810000*(d*x^(1/3) + e)^2*a*b^2*d^4*n^2/x^(2/3) + 51840*(d*x^(1/3) + e)^5*b^3*d*n^2*log(c)/x^(5/3) + 1620000*(d*x^(1/3) + e)^2*a*b^2*d^4*n*log(c)/x^(2/3) - 129600*(d*x^(1/3) + e)^5*b^3*d*n*log(c)^2/x^(5/3) - 1620000*(d*x^(1/3) + e)^2*a*b^2*d^4*log(c)^2/x^(2/3) + 216000*(d*x^(1/3) + e)^5*b^3*d*log(c)^3/x^(5/3) - 259200*(d*x^(1/3) + e)^5*a*b^2*d*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) - 1620000*(d*x^(1/3) + e)^2*a^2*b*d^4*n*log((d*x^(1/3) + e)/x^(1/3))/x^(2/3) + 1296000*(d*x^(1/3) + e)^5*a*b^2*d*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) + 1000*(d*x^(1/3) + e)^6*b^3*n^3/x^2 + 480000*(d*x^(1/3) + e)^3*a*b^2*d^3*n^2/x - 6000*(d*x^(1/3) + e)^6*b^3*n^2*log(c)/x^2 - 1440000*(d*x^(1/3) + e)^3*a*b^2*d^3*n*log(c)/x + 18000*(d*x^(1/3) + e)^6*b^3*n*log(c)^2/x^2 + 2160000*(d*x^(1/3) + e)^3*a*b^2*d^3*log(c)^2/x - 36000*(d*x^(1/3) + e)^6*b^3*log(c)^3/x^2 + 36000*(d*x^(1/3) + e)^6*a*b^2*n^2*log((d*x^(1/3) + e)/x^(1/3))/x^2 + 2160000*(d*x^(1/3) + e)^3*a^2*b*d^3*n*log((d*x^(1/3) + e)/x^(1/3))/x - 216000*(d*x^(1/3) + e)^6*a*b^2*n*log(c)*log((d*x^(1/3) + e)/x^(1/3))/x^2 - 202500*(d*x^(1/3) + e)^4*a*b^2*d^2*n^2/x^(4/3) - 648000*(d*x^(1/3) + e)*a^2*b*d^5*n/x^(1/3) + 810000*(d*x^(1/3) + e)^4*a*b^2*d^2*n*log(c)/x^(4/3) + 648000*(d*x^(1/3) + e)*a^2*b*d^5*log(c)/x^(1/3) - 1620000*(d*x^(1/3) + e)^4*a*b^2*d^2*log(c)^2/x^(4/3) - 1620000*(d*x^(1/3) + e)^4*a^2*b*d^2*n*log((d*x^(1/3) + e)/x^(1/3))/x^(4/3) + 51840*(d*x^(1/3) + e)^5*a*b^2*d*n^2/x^(5/3) + 810000*(d*x^(1/3) + e)^2*a^2*b*d^4*n/x^(2/3) - 259200*(d*x^(1/3) + e)^5*a*b^2*d*n*log(c)/x^(5/3) - 1620000*(d*x^(1/3) + e)^2*a^2*b*d^4*log(c)/x^(2/3) + 648000*(d*x^(1/3) + e)^5*a*b^2*d*log(c)^2/x^(5/3) + 648000*(d*x^(1/3) + e)^5*a^2*b*d*n*log((d*x^(1/3) + e)/x^(1/3))/x^(5/3) - 6000*(d*x^(1/3) + e)^6*a*b^2*n^2/x^2 - 720000*(d*x^(1/3) + e)^3*a^2*b*d^3*n/x + 36000*(d*x^(1/3) + e)^6*a*b^2*n*log(c)/x^2 + 2160000*(d*x^(1/3) + e)^3*a^2*b*d^3*log(c)/x - 108000*(d*x^(1/3) + e)^6*a*b^2*log(c)^2/x^2 - 108000*(d*x^(1/3) + e)^6*a^2*b*n*log((d*x^(1/3) + e)/x^(1/3))/x^2 + 405000*(d*x^(1/3) + e)^4*a^2*b*d^2*n/x^(4/3) + 216000*(d*x^(1/3) + e)*a^3*d^5/x^(1/3) - 1620000*(d*x^(1/3) + e)^4*a^2*b*d^2*log(c)/x^(4/3) - 129600*(d*x^(1/3) + e)^5*a^2*b*d*n/x^(5/3) - 540000*(d*x^(1/3) + e)^2*a^3*d^4/x^(2/3) + 648000*(d*x^(1/3) + e)^5*a^2*b*d*log(c)/x^(5/3) + 18000*(d*x^(1/3) + e)^6*a^2*b*n/x^2 + 720000*(d*x^(1/3) + e)^3*a^3*d^3/x - 108000*(d*x^(1/3) + e)^6*a^2*b*log(c)/x^2 - 540000*(d*x^(1/3) + e)^4*a^3*d^2/x^(4/3) + 216000*(d*x^(1/3) + e)^5*a^3*d/x^(5/3) - 36000*(d*x^(1/3) + e)^6*a^3/x^2)*e^(-6)","B",0
508,1,103,0,0.502026," ","integrate(x^3*(a+b*log(c*(d+e/x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{4} \, b x^{4} \log\left(c\right) + \frac{1}{4} \, a x^{4} + \frac{1}{240} \, {\left(60 \, x^{4} \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right) + {\left(\frac{12 \, d^{4} x^{\frac{10}{3}} - 15 \, d^{3} x^{\frac{8}{3}} e + 20 \, d^{2} x^{2} e^{2} - 30 \, d x^{\frac{4}{3}} e^{3} + 60 \, x^{\frac{2}{3}} e^{4}}{d^{5}} - \frac{60 \, e^{5} \log\left({\left| d x^{\frac{2}{3}} + e \right|}\right)}{d^{6}}\right)} e\right)} b n"," ",0,"1/4*b*x^4*log(c) + 1/4*a*x^4 + 1/240*(60*x^4*log(d + e/x^(2/3)) + ((12*d^4*x^(10/3) - 15*d^3*x^(8/3)*e + 20*d^2*x^2*e^2 - 30*d*x^(4/3)*e^3 + 60*x^(2/3)*e^4)/d^5 - 60*e^5*log(abs(d*x^(2/3) + e))/d^6)*e)*b*n","A",0
509,1,97,0,0.518863," ","integrate(x^2*(a+b*log(c*(d+e/x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{3} \, b x^{3} \log\left(c\right) + \frac{1}{3} \, a x^{3} + \frac{1}{315} \, {\left(105 \, x^{3} \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right) + 2 \, {\left(\frac{105 \, \arctan\left(\sqrt{d} x^{\frac{1}{3}} e^{\left(-\frac{1}{2}\right)}\right) e^{\frac{7}{2}}}{d^{\frac{9}{2}}} + \frac{15 \, d^{6} x^{\frac{7}{3}} - 21 \, d^{5} x^{\frac{5}{3}} e + 35 \, d^{4} x e^{2} - 105 \, d^{3} x^{\frac{1}{3}} e^{3}}{d^{7}}\right)} e\right)} b n"," ",0,"1/3*b*x^3*log(c) + 1/3*a*x^3 + 1/315*(105*x^3*log(d + e/x^(2/3)) + 2*(105*arctan(sqrt(d)*x^(1/3)*e^(-1/2))*e^(7/2)/d^(9/2) + (15*d^6*x^(7/3) - 21*d^5*x^(5/3)*e + 35*d^4*x*e^2 - 105*d^3*x^(1/3)*e^3)/d^7)*e)*b*n","A",0
510,1,72,0,0.438429," ","integrate(x*(a+b*log(c*(d+e/x^(2/3))^n)),x, algorithm=""giac"")","\frac{1}{2} \, b x^{2} \log\left(c\right) + \frac{1}{4} \, {\left(2 \, x^{2} \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right) + {\left(\frac{d x^{\frac{4}{3}} - 2 \, x^{\frac{2}{3}} e}{d^{2}} + \frac{2 \, e^{2} \log\left({\left| d x^{\frac{2}{3}} + e \right|}\right)}{d^{3}}\right)} e\right)} b n + \frac{1}{2} \, a x^{2}"," ",0,"1/2*b*x^2*log(c) + 1/4*(2*x^2*log(d + e/x^(2/3)) + ((d*x^(4/3) - 2*x^(2/3)*e)/d^2 + 2*e^2*log(abs(d*x^(2/3) + e))/d^3)*e)*b*n + 1/2*a*x^2","A",0
511,1,57,0,0.329272," ","integrate(a+b*log(c*(d+e/x^(2/3))^n),x, algorithm=""giac"")","-{\left({\left(2 \, {\left(\frac{\arctan\left(\sqrt{d} x^{\frac{1}{3}} e^{\left(-\frac{1}{2}\right)}\right) e^{\frac{1}{2}}}{d^{\frac{3}{2}}} - \frac{x^{\frac{1}{3}}}{d}\right)} e - x \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right)\right)} n - x \log\left(c\right)\right)} b + a x"," ",0,"-((2*(arctan(sqrt(d)*x^(1/3)*e^(-1/2))*e^(1/2)/d^(3/2) - x^(1/3)/d)*e - x*log(d + e/x^(2/3)))*n - x*log(c))*b + a*x","A",0
512,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)/x, x)","F",0
513,1,73,0,0.456511," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))/x^2,x, algorithm=""giac"")","-\frac{1}{3} \, {\left(2 \, {\left(3 \, d^{\frac{3}{2}} \arctan\left(\sqrt{d} x^{\frac{1}{3}} e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{5}{2}\right)} + \frac{{\left(3 \, d x^{\frac{2}{3}} - e\right)} e^{\left(-2\right)}}{x}\right)} e + \frac{3 \, \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}{x}\right)} b n - \frac{b \log\left(c\right)}{x} - \frac{a}{x}"," ",0,"-1/3*(2*(3*d^(3/2)*arctan(sqrt(d)*x^(1/3)*e^(-1/2))*e^(-5/2) + (3*d*x^(2/3) - e)*e^(-2)/x)*e + 3*log(d + e/x^(2/3))/x)*b*n - b*log(c)/x - a/x","A",0
514,1,104,0,0.515358," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))/x^3,x, algorithm=""giac"")","\frac{1}{12} \, {\left({\left(12 \, d^{3} e^{\left(-4\right)} \log\left(x^{\frac{1}{3}}\right) - 6 \, d^{3} e^{\left(-4\right)} \log\left({\left| d x^{\frac{2}{3}} + e \right|}\right) - \frac{{\left(11 \, d^{3} x^{2} - 6 \, d^{2} x^{\frac{4}{3}} e + 3 \, d x^{\frac{2}{3}} e^{2} - 2 \, e^{3}\right)} e^{\left(-4\right)}}{x^{2}}\right)} e - \frac{6 \, \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}{x^{2}}\right)} b n - \frac{b \log\left(c\right)}{2 \, x^{2}} - \frac{a}{2 \, x^{2}}"," ",0,"1/12*((12*d^3*e^(-4)*log(x^(1/3)) - 6*d^3*e^(-4)*log(abs(d*x^(2/3) + e)) - (11*d^3*x^2 - 6*d^2*x^(4/3)*e + 3*d*x^(2/3)*e^2 - 2*e^3)*e^(-4)/x^2)*e - 6*log(d + e/x^(2/3))/x^2)*b*n - 1/2*b*log(c)/x^2 - 1/2*a/x^2","A",0
515,1,103,0,0.455788," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))/x^4,x, algorithm=""giac"")","\frac{1}{945} \, {\left(2 \, {\left(315 \, d^{\frac{9}{2}} \arctan\left(\sqrt{d} x^{\frac{1}{3}} e^{\left(-\frac{1}{2}\right)}\right) e^{\left(-\frac{11}{2}\right)} + \frac{{\left(315 \, d^{4} x^{\frac{8}{3}} - 105 \, d^{3} x^{2} e + 63 \, d^{2} x^{\frac{4}{3}} e^{2} - 45 \, d x^{\frac{2}{3}} e^{3} + 35 \, e^{4}\right)} e^{\left(-5\right)}}{x^{3}}\right)} e - \frac{315 \, \log\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}{x^{3}}\right)} b n - \frac{b \log\left(c\right)}{3 \, x^{3}} - \frac{a}{3 \, x^{3}}"," ",0,"1/945*(2*(315*d^(9/2)*arctan(sqrt(d)*x^(1/3)*e^(-1/2))*e^(-11/2) + (315*d^4*x^(8/3) - 105*d^3*x^2*e + 63*d^2*x^(4/3)*e^2 - 45*d*x^(2/3)*e^3 + 35*e^4)*e^(-5)/x^3)*e - 315*log(d + e/x^(2/3))/x^3)*b*n - 1/3*b*log(c)/x^3 - 1/3*a/x^3","A",0
516,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e/x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2} x^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2*x^3, x)","F",0
517,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2*x, x)","F",0
518,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^2/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2/x, x)","F",0
519,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^2/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2/x^3, x)","F",0
520,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^2/x^5,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2}}{x^{5}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2/x^5, x)","F",0
521,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2*x^2, x)","F",0
522,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2, x)","F",0
523,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^2/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{2}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^2/x^2, x)","F",0
524,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e/x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3} x^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3*x^3, x)","F",0
525,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3*x, x)","F",0
526,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^3/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3/x, x)","F",0
527,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^3/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3/x^3, x)","F",0
528,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3*x^2, x)","F",0
529,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3, x)","F",0
530,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^3/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3/x^2, x)","F",0
531,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^n))^3/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{n}\right) + a\right)}^{3}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^n) + a)^3/x^4, x)","F",0
532,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p*x^3, x)","F",0
533,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p*x^2, x)","F",0
534,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e*x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p*x, x)","F",0
535,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p, x)","F",0
536,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p/x, x)","F",0
537,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)} c\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)*c) + a)^p/x^2, x)","F",0
538,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p*x^3, x)","F",0
539,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p*x^2, x)","F",0
540,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e*x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p*x, x)","F",0
541,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p, x)","F",0
542,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^2))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p/x, x)","F",0
543,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/2))^2))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e \sqrt{x} + d\right)}^{2} c\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log((e*sqrt(x) + d)^2*c) + a)^p/x^2, x)","F",0
544,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p*x, x)","F",0
545,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p, x)","F",0
546,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p/x, x)","F",0
547,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p/x^2, x)","F",0
548,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p/x^4, x)","F",0
549,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))))^p/x^6,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}\right) + a\right)}^{p}}{x^{6}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))) + a)^p/x^6, x)","F",0
550,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p*x, x)","F",0
551,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p, x)","F",0
552,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^2))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p/x, x)","F",0
553,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^2))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p/x^2, x)","F",0
554,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^2))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p/x^4, x)","F",0
555,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/2))^2))^p/x^6,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{\sqrt{x}}\right)}^{2}\right) + a\right)}^{p}}{x^{6}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/sqrt(x))^2) + a)^p/x^6, x)","F",0
556,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)} c\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)*c) + a)^p*x^3, x)","F",0
557,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(1/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)} c\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)*c) + a)^p*x^2, x)","F",0
558,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e*x^(1/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)} c\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)*c) + a)^p*x, x)","F",0
559,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)} c\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)*c) + a)^p, x)","F",0
560,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(1/3))))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)} c\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)*c) + a)^p/x, x)","F",0
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562,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e*x^(1/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{2} c\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^2*c) + a)^p*x^3, x)","F",0
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564,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e*x^(1/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{1}{3}} + d\right)}^{2} c\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log((e*x^(1/3) + d)^2*c) + a)^p*x, x)","F",0
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570,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^(2/3))))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)} c\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)*c) + a)^p/x, x)","F",0
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579,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e*x^(2/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left({\left(e x^{\frac{2}{3}} + d\right)}^{2} c\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log((e*x^(2/3) + d)^2*c) + a)^p*x^2, x)","F",0
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582,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(1/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))) + a)^p*x, x)","F",0
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587,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))) + a)^p/x^4, x)","F",0
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589,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{2}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^2) + a)^p, x)","F",0
590,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^2))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^2) + a)^p/x, x)","F",0
591,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^2))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^2) + a)^p/x^2, x)","F",0
592,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^2))^p/x^3,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x^{3}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^2) + a)^p/x^3, x)","F",0
593,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(1/3))^2))^p/x^4,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{1}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x^{4}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(1/3))^2) + a)^p/x^4, x)","F",0
594,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e/x^(2/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p*x^3, x)","F",0
595,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(2/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p*x^2, x)","F",0
596,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(2/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p*x, x)","F",0
597,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p, x)","F",0
598,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p/x, x)","F",0
599,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))) + a)^p/x^2, x)","F",0
600,0,0,0,0.000000," ","integrate(x^3*(a+b*log(c*(d+e/x^(2/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p} x^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p*x^3, x)","F",0
601,0,0,0,0.000000," ","integrate(x^2*(a+b*log(c*(d+e/x^(2/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p} x^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p*x^2, x)","F",0
602,0,0,0,0.000000," ","integrate(x*(a+b*log(c*(d+e/x^(2/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p} x\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p*x, x)","F",0
603,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^2))^p,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p, x)","F",0
604,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^2))^p/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p/x, x)","F",0
605,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/x^(2/3))^2))^p/x^2,x, algorithm=""giac"")","\int \frac{{\left(b \log\left(c {\left(d + \frac{e}{x^{\frac{2}{3}}}\right)}^{2}\right) + a\right)}^{p}}{x^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/x^(2/3))^2) + a)^p/x^2, x)","F",0
606,1,514,0,0.298616," ","integrate((g*x+f)*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(1/2),x, algorithm=""giac"")","\frac{6 \, \sqrt{h x} b g x \log\left(c\right) + 9 \, {\left({\left(2 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{5}{4}\right)} + 2 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{5}{4}\right)} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{5}{4}\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{5}{4}\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - 8 \, \sqrt{h x} e^{\left(-1\right)}\right)} e + 2 \, \sqrt{h x} \log\left(x^{2} e + d\right)\right)} b f p + 6 \, \sqrt{h x} a g x + 18 \, \sqrt{h x} b f \log\left(c\right) + \frac{{\left(6 \, \sqrt{h x} h x \log\left(x^{2} e + d\right) - {\left(8 \, \sqrt{h x} h x e^{\left(-1\right)} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{7}{4}\right)} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{7}{4}\right)} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} e^{\left(-\frac{7}{4}\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} e^{\left(-\frac{7}{4}\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)\right)} e\right)} b g p}{h} + 18 \, \sqrt{h x} a f}{9 \, h}"," ",0,"1/9*(6*sqrt(h*x)*b*g*x*log(c) + 9*((2*sqrt(2)*(d*h^2)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-5/4) + 2*sqrt(2)*(d*h^2)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-5/4) + sqrt(2)*(d*h^2)^(1/4)*e^(-5/4)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - sqrt(2)*(d*h^2)^(1/4)*e^(-5/4)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - 8*sqrt(h*x)*e^(-1))*e + 2*sqrt(h*x)*log(x^2*e + d))*b*f*p + 6*sqrt(h*x)*a*g*x + 18*sqrt(h*x)*b*f*log(c) + (6*sqrt(h*x)*h*x*log(x^2*e + d) - (8*sqrt(h*x)*h*x*e^(-1) - 6*sqrt(2)*(d*h^2)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-7/4) - 6*sqrt(2)*(d*h^2)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-7/4) + 3*sqrt(2)*(d*h^2)^(3/4)*e^(-7/4)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - 3*sqrt(2)*(d*h^2)^(3/4)*e^(-7/4)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)))*e)*b*g*p/h + 18*sqrt(h*x)*a*f)/h","A",0
607,1,431,0,0.360411," ","integrate((g*x+f)*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(3/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h^{2}} + \frac{2 \, {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h^{2}} + \frac{{\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} - \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h^{2}} - \frac{{\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} - \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h^{2}} + \frac{2 \, {\left(b g h p x \log\left(h^{2} x^{2} e + d h^{2}\right) - b g h p x \log\left(h^{2}\right) - 4 \, b g h p x - b f h p \log\left(h^{2} x^{2} e + d h^{2}\right) + b f h p \log\left(h^{2}\right) + b g h x \log\left(c\right) + a g h x - b f h \log\left(c\right) - a f h\right)}}{\sqrt{h x} h}}{h}"," ",0,"(2*(sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h^2) + 2*(sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h^2) + (sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) - sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*e^(-2)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h^2) - (sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) - sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*e^(-2)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h^2) + 2*(b*g*h*p*x*log(h^2*x^2*e + d*h^2) - b*g*h*p*x*log(h^2) - 4*b*g*h*p*x - b*f*h*p*log(h^2*x^2*e + d*h^2) + b*f*h*p*log(h^2) + b*g*h*x*log(c) + a*g*h*x - b*f*h*log(c) - a*f*h)/(sqrt(h*x)*h))/h","A",0
608,1,443,0,0.369616," ","integrate((g*x+f)*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(5/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h} + \frac{2 \, {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h} + \frac{{\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h} - \frac{{\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h} - \frac{2 \, {\left(3 \, b g h^{2} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 3 \, b g h^{2} p x \log\left(h^{2}\right) + b f h^{2} p \log\left(h^{2} x^{2} e + d h^{2}\right) - b f h^{2} p \log\left(h^{2}\right) + 3 \, b g h^{2} x \log\left(c\right) + 3 \, a g h^{2} x + b f h^{2} \log\left(c\right) + a f h^{2}\right)}}{\sqrt{h x} h x}}{3 \, h^{3}}"," ",0,"1/3*(2*(sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h) + 2*(sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h) + (sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*e^(-2)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h) - (sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*e^(-2)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h) - 2*(3*b*g*h^2*p*x*log(h^2*x^2*e + d*h^2) - 3*b*g*h^2*p*x*log(h^2) + b*f*h^2*p*log(h^2*x^2*e + d*h^2) - b*f*h^2*p*log(h^2) + 3*b*g*h^2*x*log(c) + 3*a*g*h^2*x + b*f*h^2*log(c) + a*f*h^2)/(sqrt(h*x)*h*x))/h^3","A",0
609,1,478,0,0.413402," ","integrate((g*x+f)*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(7/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{2 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{{\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{{\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g h p e^{\frac{7}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{2 \, {\left(12 \, b f h^{3} p x^{2} e + 5 \, b d g h^{3} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 5 \, b d g h^{3} p x \log\left(h^{2}\right) + 3 \, b d f h^{3} p \log\left(h^{2} x^{2} e + d h^{2}\right) - 3 \, b d f h^{3} p \log\left(h^{2}\right) + 5 \, b d g h^{3} x \log\left(c\right) + 5 \, a d g h^{3} x + 3 \, b d f h^{3} \log\left(c\right) + 3 \, a d f h^{3}\right)}}{\sqrt{h x} d h^{2} x^{2}}}{15 \, h^{4}}"," ",0,"1/15*(2*(5*sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + 2*(5*sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + (5*sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*e^(-1)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - (5*sqrt(2)*(d*h^2)^(1/4)*b*d*g*h*p*e^(7/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f*p*e^(9/4))*e^(-1)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - 2*(12*b*f*h^3*p*x^2*e + 5*b*d*g*h^3*p*x*log(h^2*x^2*e + d*h^2) - 5*b*d*g*h^3*p*x*log(h^2) + 3*b*d*f*h^3*p*log(h^2*x^2*e + d*h^2) - 3*b*d*f*h^3*p*log(h^2) + 5*b*d*g*h^3*x*log(c) + 5*a*d*g*h^3*x + 3*b*d*f*h^3*log(c) + 3*a*d*f*h^3)/(sqrt(h*x)*d*h^2*x^2))/h^4","A",0
610,1,488,0,0.375930," ","integrate((g*x+f)*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(9/2),x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} + 7 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{6 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} + 7 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{3 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} - 7 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{3 \, {\left(5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f h p e^{\frac{11}{4}} - 7 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b g p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} + \frac{2 \, {\left(84 \, b g h^{4} p x^{3} e + 20 \, b f h^{4} p x^{2} e + 21 \, b d g h^{4} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 21 \, b d g h^{4} p x \log\left(h^{2}\right) + 15 \, b d f h^{4} p \log\left(h^{2} x^{2} e + d h^{2}\right) - 15 \, b d f h^{4} p \log\left(h^{2}\right) + 21 \, b d g h^{4} x \log\left(c\right) + 21 \, a d g h^{4} x + 15 \, b d f h^{4} \log\left(c\right) + 15 \, a d f h^{4}\right)}}{\sqrt{h x} d h^{3} x^{3}}}{105 \, h^{5}}"," ",0,"-1/105*(6*(5*sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) + 7*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + 6*(5*sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) + 7*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + 3*(5*sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) - 7*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*e^(-1)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - 3*(5*sqrt(2)*(d*h^2)^(1/4)*b*f*h*p*e^(11/4) - 7*sqrt(2)*(d*h^2)^(3/4)*b*g*p*e^(9/4))*e^(-1)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) + 2*(84*b*g*h^4*p*x^3*e + 20*b*f*h^4*p*x^2*e + 21*b*d*g*h^4*p*x*log(h^2*x^2*e + d*h^2) - 21*b*d*g*h^4*p*x*log(h^2) + 15*b*d*f*h^4*p*log(h^2*x^2*e + d*h^2) - 15*b*d*f*h^4*p*log(h^2) + 21*b*d*g*h^4*x*log(c) + 21*a*d*g*h^4*x + 15*b*d*f*h^4*log(c) + 15*a*d*f*h^4)/(sqrt(h*x)*d*h^3*x^3))/h^5","A",0
611,1,820,0,0.412109," ","integrate((g*x+f)^2*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(1/2),x, algorithm=""giac"")","\frac{90 \, \sqrt{h x} b g^{2} x^{2} \log\left(c\right) + 90 \, \sqrt{h x} a g^{2} x^{2} + 300 \, \sqrt{h x} b f g x \log\left(c\right) + 225 \, {\left({\left(2 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{5}{4}\right)} + 2 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{5}{4}\right)} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{5}{4}\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{5}{4}\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - 8 \, \sqrt{h x} e^{\left(-1\right)}\right)} e + 2 \, \sqrt{h x} \log\left(x^{2} e + d\right)\right)} b f^{2} p + 9 \, {\left(10 \, \sqrt{h x} x^{2} \log\left(x^{2} e + d\right) - {\left(10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} d \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{9}{4}\right)} + 10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} d \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{9}{4}\right)} + 5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} d e^{\left(-\frac{9}{4}\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - 5 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} d e^{\left(-\frac{9}{4}\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) + \frac{8 \, {\left(\sqrt{h x} h^{10} x^{2} e^{4} - 5 \, \sqrt{h x} d h^{10} e^{3}\right)} e^{\left(-5\right)}}{h^{10}}\right)} e\right)} b g^{2} p + 300 \, \sqrt{h x} a f g x + 450 \, \sqrt{h x} b f^{2} \log\left(c\right) + \frac{50 \, {\left(6 \, \sqrt{h x} h x \log\left(x^{2} e + d\right) - {\left(8 \, \sqrt{h x} h x e^{\left(-1\right)} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{7}{4}\right)} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-\frac{7}{4}\right)} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} e^{\left(-\frac{7}{4}\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right) - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} e^{\left(-\frac{7}{4}\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)\right)} e\right)} b f g p}{h} + 450 \, \sqrt{h x} a f^{2}}{225 \, h}"," ",0,"1/225*(90*sqrt(h*x)*b*g^2*x^2*log(c) + 90*sqrt(h*x)*a*g^2*x^2 + 300*sqrt(h*x)*b*f*g*x*log(c) + 225*((2*sqrt(2)*(d*h^2)^(1/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-5/4) + 2*sqrt(2)*(d*h^2)^(1/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-5/4) + sqrt(2)*(d*h^2)^(1/4)*e^(-5/4)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - sqrt(2)*(d*h^2)^(1/4)*e^(-5/4)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - 8*sqrt(h*x)*e^(-1))*e + 2*sqrt(h*x)*log(x^2*e + d))*b*f^2*p + 9*(10*sqrt(h*x)*x^2*log(x^2*e + d) - (10*sqrt(2)*(d*h^2)^(1/4)*d*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-9/4) + 10*sqrt(2)*(d*h^2)^(1/4)*d*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-9/4) + 5*sqrt(2)*(d*h^2)^(1/4)*d*e^(-9/4)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - 5*sqrt(2)*(d*h^2)^(1/4)*d*e^(-9/4)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) + 8*(sqrt(h*x)*h^10*x^2*e^4 - 5*sqrt(h*x)*d*h^10*e^3)*e^(-5)/h^10)*e)*b*g^2*p + 300*sqrt(h*x)*a*f*g*x + 450*sqrt(h*x)*b*f^2*log(c) + 50*(6*sqrt(h*x)*h*x*log(x^2*e + d) - (8*sqrt(h*x)*h*x*e^(-1) - 6*sqrt(2)*(d*h^2)^(3/4)*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-7/4) - 6*sqrt(2)*(d*h^2)^(3/4)*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-7/4) + 3*sqrt(2)*(d*h^2)^(3/4)*e^(-7/4)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)) - 3*sqrt(2)*(d*h^2)^(3/4)*e^(-7/4)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2)))*e)*b*f*g*p/h + 450*sqrt(h*x)*a*f^2)/h","A",0
612,1,649,0,0.581039," ","integrate((g*x+f)^2*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(3/2),x, algorithm=""giac"")","\frac{\frac{6 \, {\left(6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-3\right)}}{d h^{2}} + \frac{6 \, {\left(6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-3\right)}}{d h^{2}} + \frac{3 \, {\left(6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} - \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} e^{\left(-3\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h^{2}} - \frac{3 \, {\left(6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} - \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} e^{\left(-3\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h^{2}} + \frac{2 \, {\left(3 \, b g^{2} h^{2} p x^{2} \log\left(h^{2} x^{2} e + d h^{2}\right) - 3 \, b g^{2} h^{2} p x^{2} \log\left(h^{2}\right) - 4 \, b g^{2} h^{2} p x^{2} + 18 \, b f g h^{2} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 18 \, b f g h^{2} p x \log\left(h^{2}\right) + 3 \, b g^{2} h^{2} x^{2} \log\left(c\right) - 72 \, b f g h^{2} p x + 3 \, a g^{2} h^{2} x^{2} - 9 \, b f^{2} h^{2} p \log\left(h^{2} x^{2} e + d h^{2}\right) + 9 \, b f^{2} h^{2} p \log\left(h^{2}\right) + 18 \, b f g h^{2} x \log\left(c\right) + 18 \, a f g h^{2} x - 9 \, b f^{2} h^{2} \log\left(c\right) - 9 \, a f^{2} h^{2}\right)}}{\sqrt{h x} h^{2}}}{9 \, h}"," ",0,"1/9*(6*(6*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) + sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-3)/(d*h^2) + 6*(6*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) + sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-3)/(d*h^2) + 3*(6*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) - sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*e^(-3)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h^2) - 3*(6*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) - sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*e^(-3)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h^2) + 2*(3*b*g^2*h^2*p*x^2*log(h^2*x^2*e + d*h^2) - 3*b*g^2*h^2*p*x^2*log(h^2) - 4*b*g^2*h^2*p*x^2 + 18*b*f*g*h^2*p*x*log(h^2*x^2*e + d*h^2) - 18*b*f*g*h^2*p*x*log(h^2) + 3*b*g^2*h^2*x^2*log(c) - 72*b*f*g*h^2*p*x + 3*a*g^2*h^2*x^2 - 9*b*f^2*h^2*p*log(h^2*x^2*e + d*h^2) + 9*b*f^2*h^2*p*log(h^2) + 18*b*f*g*h^2*x*log(c) + 18*a*f*g*h^2*x - 9*b*f^2*h^2*log(c) - 9*a*f^2*h^2)/(sqrt(h*x)*h^2))/h","A",0
613,1,638,0,0.487426," ","integrate((g*x+f)^2*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(5/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} + 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h} + \frac{2 \, {\left(3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} + 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d h} + \frac{{\left(3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h} - \frac{{\left(3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} + \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} - 6 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} e^{\left(-2\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d h} + \frac{2 \, {\left(3 \, b g^{2} h^{2} p x^{2} \log\left(h^{2} x^{2} e + d h^{2}\right) - 3 \, b g^{2} h^{2} p x^{2} \log\left(h^{2}\right) - 12 \, b g^{2} h^{2} p x^{2} - 6 \, b f g h^{2} p x \log\left(h^{2} x^{2} e + d h^{2}\right) + 6 \, b f g h^{2} p x \log\left(h^{2}\right) + 3 \, b g^{2} h^{2} x^{2} \log\left(c\right) + 3 \, a g^{2} h^{2} x^{2} - b f^{2} h^{2} p \log\left(h^{2} x^{2} e + d h^{2}\right) + b f^{2} h^{2} p \log\left(h^{2}\right) - 6 \, b f g h^{2} x \log\left(c\right) - 6 \, a f g h^{2} x - b f^{2} h^{2} \log\left(c\right) - a f^{2} h^{2}\right)}}{\sqrt{h x} h x}}{3 \, h^{3}}"," ",0,"1/3*(2*(3*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) + 6*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h) + 2*(3*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) + 6*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d*h) + (3*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) - 6*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*e^(-2)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h) - (3*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) + sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) - 6*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*e^(-2)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d*h) + 2*(3*b*g^2*h^2*p*x^2*log(h^2*x^2*e + d*h^2) - 3*b*g^2*h^2*p*x^2*log(h^2) - 12*b*g^2*h^2*p*x^2 - 6*b*f*g*h^2*p*x*log(h^2*x^2*e + d*h^2) + 6*b*f*g*h^2*p*x*log(h^2) + 3*b*g^2*h^2*x^2*log(c) + 3*a*g^2*h^2*x^2 - b*f^2*h^2*p*log(h^2*x^2*e + d*h^2) + b*f^2*h^2*p*log(h^2) - 6*b*f*g*h^2*x*log(c) - 6*a*f*g*h^2*x - b*f^2*h^2*log(c) - a*f^2*h^2)/(sqrt(h*x)*h*x))/h^3","A",0
614,1,660,0,0.557332," ","integrate((g*x+f)^2*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(7/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} + 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d^{2} h} + \frac{2 \, {\left(10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} + 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} - 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-2\right)}}{d^{2} h} + \frac{{\left(10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} e^{\left(-2\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{{\left(10 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d f g h p e^{\frac{11}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b d g^{2} p e^{\frac{9}{4}} + 3 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f^{2} p e^{\frac{13}{4}}\right)} e^{\left(-2\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{2 \, {\left(15 \, b d g^{2} h^{3} p x^{2} \log\left(h^{2} x^{2} e + d h^{2}\right) - 15 \, b d g^{2} h^{3} p x^{2} \log\left(h^{2}\right) + 12 \, b f^{2} h^{3} p x^{2} e + 10 \, b d f g h^{3} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 10 \, b d f g h^{3} p x \log\left(h^{2}\right) + 15 \, b d g^{2} h^{3} x^{2} \log\left(c\right) + 15 \, a d g^{2} h^{3} x^{2} + 3 \, b d f^{2} h^{3} p \log\left(h^{2} x^{2} e + d h^{2}\right) - 3 \, b d f^{2} h^{3} p \log\left(h^{2}\right) + 10 \, b d f g h^{3} x \log\left(c\right) + 10 \, a d f g h^{3} x + 3 \, b d f^{2} h^{3} \log\left(c\right) + 3 \, a d f^{2} h^{3}\right)}}{\sqrt{h x} d h^{2} x^{2}}}{15 \, h^{4}}"," ",0,"1/15*(2*(10*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) + 15*sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d^2*h) + 2*(10*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) + 15*sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) - 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-2)/(d^2*h) + (10*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) - 15*sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*e^(-2)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - (10*sqrt(2)*(d*h^2)^(1/4)*b*d*f*g*h*p*e^(11/4) - 15*sqrt(2)*(d*h^2)^(3/4)*b*d*g^2*p*e^(9/4) + 3*sqrt(2)*(d*h^2)^(3/4)*b*f^2*p*e^(13/4))*e^(-2)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - 2*(15*b*d*g^2*h^3*p*x^2*log(h^2*x^2*e + d*h^2) - 15*b*d*g^2*h^3*p*x^2*log(h^2) + 12*b*f^2*h^3*p*x^2*e + 10*b*d*f*g*h^3*p*x*log(h^2*x^2*e + d*h^2) - 10*b*d*f*g*h^3*p*x*log(h^2) + 15*b*d*g^2*h^3*x^2*log(c) + 15*a*d*g^2*h^3*x^2 + 3*b*d*f^2*h^3*p*log(h^2*x^2*e + d*h^2) - 3*b*d*f^2*h^3*p*log(h^2) + 10*b*d*f*g*h^3*x*log(c) + 10*a*d*f*g*h^3*x + 3*b*d*f^2*h^3*log(c) + 3*a*d*f^2*h^3)/(sqrt(h*x)*d*h^2*x^2))/h^4","A",0
615,1,674,0,0.490194," ","integrate((g*x+f)^2*(a+b*log(c*(e*x^2+d)^p))/(h*x)^(9/2),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(35 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} - 42 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} + 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{2 \, {\left(35 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} - 42 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} e^{\left(-\frac{1}{4}\right)} - 2 \, \sqrt{h x}\right)} e^{\frac{1}{4}}}{2 \, \left(d h^{2}\right)^{\frac{1}{4}}}\right) e^{\left(-1\right)}}{d^{2} h} + \frac{{\left(35 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} + 42 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{{\left(35 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b d g^{2} h p e^{\frac{7}{4}} - 15 \, \sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} b f^{2} h p e^{\frac{11}{4}} + 42 \, \sqrt{2} \left(d h^{2}\right)^{\frac{3}{4}} b f g p e^{\frac{9}{4}}\right)} e^{\left(-1\right)} \log\left(-\sqrt{2} \left(d h^{2}\right)^{\frac{1}{4}} \sqrt{h x} e^{\left(-\frac{1}{4}\right)} + h x + \sqrt{d h^{2}} e^{\left(-\frac{1}{2}\right)}\right)}{d^{2} h} - \frac{2 \, {\left(168 \, b f g h^{4} p x^{3} e + 35 \, b d g^{2} h^{4} p x^{2} \log\left(h^{2} x^{2} e + d h^{2}\right) - 35 \, b d g^{2} h^{4} p x^{2} \log\left(h^{2}\right) + 20 \, b f^{2} h^{4} p x^{2} e + 42 \, b d f g h^{4} p x \log\left(h^{2} x^{2} e + d h^{2}\right) - 42 \, b d f g h^{4} p x \log\left(h^{2}\right) + 35 \, b d g^{2} h^{4} x^{2} \log\left(c\right) + 35 \, a d g^{2} h^{4} x^{2} + 15 \, b d f^{2} h^{4} p \log\left(h^{2} x^{2} e + d h^{2}\right) - 15 \, b d f^{2} h^{4} p \log\left(h^{2}\right) + 42 \, b d f g h^{4} x \log\left(c\right) + 42 \, a d f g h^{4} x + 15 \, b d f^{2} h^{4} \log\left(c\right) + 15 \, a d f^{2} h^{4}\right)}}{\sqrt{h x} d h^{3} x^{3}}}{105 \, h^{5}}"," ",0,"1/105*(2*(35*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) - 15*sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) - 42*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*arctan(1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) + 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + 2*(35*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) - 15*sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) - 42*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*arctan(-1/2*sqrt(2)*(sqrt(2)*(d*h^2)^(1/4)*e^(-1/4) - 2*sqrt(h*x))*e^(1/4)/(d*h^2)^(1/4))*e^(-1)/(d^2*h) + (35*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) - 15*sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) + 42*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*e^(-1)*log(sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - (35*sqrt(2)*(d*h^2)^(1/4)*b*d*g^2*h*p*e^(7/4) - 15*sqrt(2)*(d*h^2)^(1/4)*b*f^2*h*p*e^(11/4) + 42*sqrt(2)*(d*h^2)^(3/4)*b*f*g*p*e^(9/4))*e^(-1)*log(-sqrt(2)*(d*h^2)^(1/4)*sqrt(h*x)*e^(-1/4) + h*x + sqrt(d*h^2)*e^(-1/2))/(d^2*h) - 2*(168*b*f*g*h^4*p*x^3*e + 35*b*d*g^2*h^4*p*x^2*log(h^2*x^2*e + d*h^2) - 35*b*d*g^2*h^4*p*x^2*log(h^2) + 20*b*f^2*h^4*p*x^2*e + 42*b*d*f*g*h^4*p*x*log(h^2*x^2*e + d*h^2) - 42*b*d*f*g*h^4*p*x*log(h^2) + 35*b*d*g^2*h^4*x^2*log(c) + 35*a*d*g^2*h^4*x^2 + 15*b*d*f^2*h^4*p*log(h^2*x^2*e + d*h^2) - 15*b*d*f^2*h^4*p*log(h^2) + 42*b*d*f*g*h^4*x*log(c) + 42*a*d*f*g*h^4*x + 15*b*d*f^2*h^4*log(c) + 15*a*d*f^2*h^4)/(sqrt(h*x)*d*h^3*x^3))/h^5","A",0
616,0,0,0,0.000000," ","integrate((h*x)^(1/2)*(a+b*log(c*(e*x^2+d)^p))/(g*x+f),x, algorithm=""giac"")","\int \frac{\sqrt{h x} {\left(b \log\left({\left(e x^{2} + d\right)}^{p} c\right) + a\right)}}{g x + f}\,{d x}"," ",0,"integrate(sqrt(h*x)*(b*log((e*x^2 + d)^p*c) + a)/(g*x + f), x)","F",0
617,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x^2+d)^p))/(h*x)^(1/2)/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{2} + d\right)}^{p} c\right) + a}{{\left(g x + f\right)} \sqrt{h x}}\,{d x}"," ",0,"integrate((b*log((e*x^2 + d)^p*c) + a)/((g*x + f)*sqrt(h*x)), x)","F",0
618,0,0,0,0.000000," ","integrate((a+b*log(c*(e*x^2+d)^p))/(h*x)^(3/2)/(g*x+f),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{2} + d\right)}^{p} c\right) + a}{{\left(g x + f\right)} \left(h x\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*log((e*x^2 + d)^p*c) + a)/((g*x + f)*(h*x)^(3/2)), x)","F",0
619,0,0,0,0.000000," ","integrate(log(f*x^p)*log(1+e*x^m)/x,x, algorithm=""giac"")","\int \frac{\log\left(e x^{m} + 1\right) \log\left(f x^{p}\right)}{x}\,{d x}"," ",0,"integrate(log(e*x^m + 1)*log(f*x^p)/x, x)","F",0
620,0,0,0,0.000000," ","integrate(x^(-1+m)*log(f*x^p)^2/(d+e*x^m),x, algorithm=""giac"")","\int \frac{x^{m - 1} \log\left(f x^{p}\right)^{2}}{e x^{m} + d}\,{d x}"," ",0,"integrate(x^(m - 1)*log(f*x^p)^2/(e*x^m + d), x)","F",0
621,0,0,0,0.000000," ","integrate(log(f*x^p)^3*(a+b*log(c*(d+e*x^m)^n))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a\right)} \log\left(f x^{p}\right)^{3}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)*log(f*x^p)^3/x, x)","F",0
622,0,0,0,0.000000," ","integrate(log(f*x^p)^2*(a+b*log(c*(d+e*x^m)^n))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a\right)} \log\left(f x^{p}\right)^{2}}{x}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)*log(f*x^p)^2/x, x)","F",0
623,0,0,0,0.000000," ","integrate(log(f*x^p)*(a+b*log(c*(d+e*x^m)^n))/x,x, algorithm=""giac"")","\int \frac{{\left(b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a\right)} \log\left(f x^{p}\right)}{x}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)*log(f*x^p)/x, x)","F",0
624,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^m)^n))/x,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a}{x}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)/x, x)","F",0
625,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^m)^n))/x/log(f*x^p),x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a}{x \log\left(f x^{p}\right)}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)/(x*log(f*x^p)), x)","F",0
626,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^m)^n))/x/log(f*x^p)^2,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a}{x \log\left(f x^{p}\right)^{2}}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)/(x*log(f*x^p)^2), x)","F",0
627,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e*x^m)^n))/x/log(f*x^p)^3,x, algorithm=""giac"")","\int \frac{b \log\left({\left(e x^{m} + d\right)}^{n} c\right) + a}{x \log\left(f x^{p}\right)^{3}}\,{d x}"," ",0,"integrate((b*log((e*x^m + d)^n*c) + a)/(x*log(f*x^p)^3), x)","F",0
628,0,0,0,0.000000," ","integrate(log(c*(d+e*(g*x+f)^p)^q),x, algorithm=""giac"")","\int \log\left({\left({\left(g x + f\right)}^{p} e + d\right)}^{q} c\right)\,{d x}"," ",0,"integrate(log(((g*x + f)^p*e + d)^q*c), x)","F",0
629,1,265,0,0.455417," ","integrate(log(c*(d+e*(g*x+f)^3)^q),x, algorithm=""giac"")","q x \log\left(g^{3} x^{3} e + 3 \, f g^{2} x^{2} e + 3 \, f^{2} g x e + f^{3} e + d\right) - 3 \, q x + x \log\left(c\right) + \frac{f q \log\left({\left| g^{3} x^{3} e + 3 \, f g^{2} x^{2} e + 3 \, f^{2} g x e + f^{3} e + d \right|}\right)}{g} + \frac{{\left(2 \, \sqrt{3} \left(d g^{6} q^{3}\right)^{\frac{1}{3}} \arctan\left(-\frac{g x e + f e + d^{\frac{1}{3}} e^{\frac{2}{3}}}{\sqrt{3} g x e + \sqrt{3} f e - \sqrt{3} d^{\frac{1}{3}} e^{\frac{2}{3}}}\right) e^{\frac{2}{3}} - \left(d g^{6} q^{3}\right)^{\frac{1}{3}} e^{\frac{2}{3}} \log\left(4 \, {\left(\sqrt{3} g x e + \sqrt{3} f e - \sqrt{3} d^{\frac{1}{3}} e^{\frac{2}{3}}\right)}^{2} + 4 \, {\left(g x e + f e + d^{\frac{1}{3}} e^{\frac{2}{3}}\right)}^{2}\right) + 2 \, \left(d g^{6} q^{3}\right)^{\frac{1}{3}} e^{\frac{2}{3}} \log\left({\left| g x e + f e + d^{\frac{1}{3}} e^{\frac{2}{3}} \right|}\right)\right)} e^{\left(-1\right)}}{2 \, g^{3}}"," ",0,"q*x*log(g^3*x^3*e + 3*f*g^2*x^2*e + 3*f^2*g*x*e + f^3*e + d) - 3*q*x + x*log(c) + f*q*log(abs(g^3*x^3*e + 3*f*g^2*x^2*e + 3*f^2*g*x*e + f^3*e + d))/g + 1/2*(2*sqrt(3)*(d*g^6*q^3)^(1/3)*arctan(-(g*x*e + f*e + d^(1/3)*e^(2/3))/(sqrt(3)*g*x*e + sqrt(3)*f*e - sqrt(3)*d^(1/3)*e^(2/3)))*e^(2/3) - (d*g^6*q^3)^(1/3)*e^(2/3)*log(4*(sqrt(3)*g*x*e + sqrt(3)*f*e - sqrt(3)*d^(1/3)*e^(2/3))^2 + 4*(g*x*e + f*e + d^(1/3)*e^(2/3))^2) + 2*(d*g^6*q^3)^(1/3)*e^(2/3)*log(abs(g*x*e + f*e + d^(1/3)*e^(2/3))))*e^(-1)/g^3","A",0
630,1,96,0,0.199245," ","integrate(log(c*(d+e*(g*x+f)^2)^q),x, algorithm=""giac"")","q x \log\left(g^{2} x^{2} e + 2 \, f g x e + f^{2} e + d\right) + \frac{2 \, \sqrt{d} q \arctan\left(\frac{{\left(g x e + f e\right)} e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{g} - 2 \, q x + \frac{f q \log\left(g^{2} x^{2} e + 2 \, f g x e + f^{2} e + d\right)}{g} + x \log\left(c\right)"," ",0,"q*x*log(g^2*x^2*e + 2*f*g*x*e + f^2*e + d) + 2*sqrt(d)*q*arctan((g*x*e + f*e)*e^(-1/2)/sqrt(d))*e^(-1/2)/g - 2*q*x + f*q*log(g^2*x^2*e + 2*f*g*x*e + f^2*e + d)/g + x*log(c)","A",0
631,1,69,0,0.162834," ","integrate(log(c*(d+e*(g*x+f))^q),x, algorithm=""giac"")","\frac{{\left(g x e + f e + d\right)} q e^{\left(-1\right)} \log\left(g x e + f e + d\right)}{g} - \frac{{\left(g x e + f e + d\right)} q e^{\left(-1\right)}}{g} + \frac{{\left(g x e + f e + d\right)} e^{\left(-1\right)} \log\left(c\right)}{g}"," ",0,"(g*x*e + f*e + d)*q*e^(-1)*log(g*x*e + f*e + d)/g - (g*x*e + f*e + d)*q*e^(-1)/g + (g*x*e + f*e + d)*e^(-1)*log(c)/g","A",0
632,1,172,0,0.205938," ","integrate(log(c*(d+e/(g*x+f))^q),x, algorithm=""giac"")","\frac{{\left(d f g e^{\left(-2\right)} - {\left(d f + e\right)} g e^{\left(-2\right)}\right)} {\left(d q e^{2} \log\left(-d + \frac{d g x + d f + e}{g x + f}\right) + d e^{2} \log\left(c\right) - \frac{{\left(d g x + d f + e\right)} q e^{2} \log\left(-d + \frac{d g x + d f + e}{g x + f}\right)}{g x + f} + \frac{{\left(d g x + d f + e\right)} q e^{2} \log\left(\frac{d g x + d f + e}{g x + f}\right)}{g x + f}\right)}}{d^{2} g^{2} - \frac{{\left(d g x + d f + e\right)} d g^{2}}{g x + f}}"," ",0,"(d*f*g*e^(-2) - (d*f + e)*g*e^(-2))*(d*q*e^2*log(-d + (d*g*x + d*f + e)/(g*x + f)) + d*e^2*log(c) - (d*g*x + d*f + e)*q*e^2*log(-d + (d*g*x + d*f + e)/(g*x + f))/(g*x + f) + (d*g*x + d*f + e)*q*e^2*log((d*g*x + d*f + e)/(g*x + f))/(g*x + f))/(d^2*g^2 - (d*g*x + d*f + e)*d*g^2/(g*x + f))","B",0
633,1,137,0,0.468221," ","integrate(log(c*(d+e/(g*x+f)^2)^q),x, algorithm=""giac"")","d g^{4} q {\left(\frac{f e^{\left(-1\right)} \log\left(d g^{2} x^{2} + 2 \, d f g x + d f^{2} + e\right)}{d g^{5}} - \frac{2 \, f e^{\left(-1\right)} \log\left({\left| g x + f \right|}\right)}{d g^{5}} + \frac{2 \, \arctan\left(\frac{{\left(d g x + d f\right)} e^{\left(-\frac{1}{2}\right)}}{\sqrt{d}}\right) e^{\left(-\frac{1}{2}\right)}}{d^{\frac{3}{2}} g^{5}}\right)} e + q x \log\left(d g^{2} x^{2} + 2 \, d f g x + d f^{2} + e\right) - q x \log\left(g^{2} x^{2} + 2 \, f g x + f^{2}\right) + x \log\left(c\right)"," ",0,"d*g^4*q*(f*e^(-1)*log(d*g^2*x^2 + 2*d*f*g*x + d*f^2 + e)/(d*g^5) - 2*f*e^(-1)*log(abs(g*x + f))/(d*g^5) + 2*arctan((d*g*x + d*f)*e^(-1/2)/sqrt(d))*e^(-1/2)/(d^(3/2)*g^5))*e + q*x*log(d*g^2*x^2 + 2*d*f*g*x + d*f^2 + e) - q*x*log(g^2*x^2 + 2*f*g*x + f^2) + x*log(c)","B",0
634,-1,0,0,0.000000," ","integrate(log(c*(d+e/(g*x+f)^3)^q),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
635,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/(g*x+f))^p))^n,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*log(c*(d + e/(g*x + f))^p) + a)^n, x)","F",0
636,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/(g*x+f))^p))^4,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a\right)}^{4}\,{d x}"," ",0,"integrate((b*log(c*(d + e/(g*x + f))^p) + a)^4, x)","F",0
637,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/(g*x+f))^p))^3,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a\right)}^{3}\,{d x}"," ",0,"integrate((b*log(c*(d + e/(g*x + f))^p) + a)^3, x)","F",0
638,0,0,0,0.000000," ","integrate((a+b*log(c*(d+e/(g*x+f))^p))^2,x, algorithm=""giac"")","\int {\left(b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a\right)}^{2}\,{d x}"," ",0,"integrate((b*log(c*(d + e/(g*x + f))^p) + a)^2, x)","F",0
639,1,177,0,0.210395," ","integrate(a+b*log(c*(d+e/(g*x+f))^p),x, algorithm=""giac"")","\frac{{\left(d f g e^{\left(-2\right)} - {\left(d f + e\right)} g e^{\left(-2\right)}\right)} {\left(d p e^{2} \log\left(-d + \frac{d g x + d f + e}{g x + f}\right) + d e^{2} \log\left(c\right) - \frac{{\left(d g x + d f + e\right)} p e^{2} \log\left(-d + \frac{d g x + d f + e}{g x + f}\right)}{g x + f} + \frac{{\left(d g x + d f + e\right)} p e^{2} \log\left(\frac{d g x + d f + e}{g x + f}\right)}{g x + f}\right)} b}{d^{2} g^{2} - \frac{{\left(d g x + d f + e\right)} d g^{2}}{g x + f}} + a x"," ",0,"(d*f*g*e^(-2) - (d*f + e)*g*e^(-2))*(d*p*e^2*log(-d + (d*g*x + d*f + e)/(g*x + f)) + d*e^2*log(c) - (d*g*x + d*f + e)*p*e^2*log(-d + (d*g*x + d*f + e)/(g*x + f))/(g*x + f) + (d*g*x + d*f + e)*p*e^2*log((d*g*x + d*f + e)/(g*x + f))/(g*x + f))*b/(d^2*g^2 - (d*g*x + d*f + e)*d*g^2/(g*x + f)) + a*x","B",0
640,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d+e/(g*x+f))^p)),x, algorithm=""giac"")","\int \frac{1}{b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a}\,{d x}"," ",0,"integrate(1/(b*log(c*(d + e/(g*x + f))^p) + a), x)","F",0
641,0,0,0,0.000000," ","integrate(1/(a+b*log(c*(d+e/(g*x+f))^p))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \log\left(c {\left(d + \frac{e}{g x + f}\right)}^{p}\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((b*log(c*(d + e/(g*x + f))^p) + a)^(-2), x)","F",0
