1,1,229,62,0.483000," ","int(x^4*ln(c*(b*x^2+a)^p),x)","-\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{10}+\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{10}+\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{10}-\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{10}-\frac{2 p \,x^{5}}{25}+\frac{x^{5} \ln \left(c \right)}{5}+\frac{x^{5} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{5}+\frac{2 a p \,x^{3}}{15 b}-\frac{2 a^{2} p x}{5 b^{2}}+\frac{\sqrt{-a b}\, a^{2} p \ln \left(a -\sqrt{-a b}\, x \right)}{5 b^{3}}-\frac{\sqrt{-a b}\, a^{2} p \ln \left(a +\sqrt{-a b}\, x \right)}{5 b^{3}}"," ",0,"1/5*x^5*ln((b*x^2+a)^p)+1/10*I*Pi*x^5*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/10*I*Pi*x^5*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/10*I*Pi*x^5*csgn(I*c*(b*x^2+a)^p)^3+1/10*I*Pi*x^5*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/5*ln(c)*x^5-2/25*p*x^5+2/15*a*p*x^3/b+1/5/b^3*(-a*b)^(1/2)*a^2*p*ln(-(-a*b)^(1/2)*x+a)-1/5/b^3*(-a*b)^(1/2)*a^2*p*ln((-a*b)^(1/2)*x+a)-2/5*a^2*p*x/b^2","C"
2,1,183,51,0.321000," ","int(x^3*ln(c*(b*x^2+a)^p),x)","-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{8}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{8}-\frac{p \,x^{4}}{8}+\frac{x^{4} \ln \left(c \right)}{4}+\frac{x^{4} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4}+\frac{a p \,x^{2}}{4 b}-\frac{a^{2} p \ln \left(b \,x^{2}+a \right)}{4 b^{2}}"," ",0,"1/4*x^4*ln((b*x^2+a)^p)+1/8*I*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/8*I*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/8*I*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^3+1/8*I*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/4*ln(c)*x^4-1/8*p*x^4+1/4*a*p*x^2/b-1/4*a^2*p*ln(b*x^2+a)/b^2","C"
3,1,217,50,0.352000," ","int(x^2*ln(c*(b*x^2+a)^p),x)","-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{6}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{6}-\frac{2 p \,x^{3}}{9}+\frac{x^{3} \ln \left(c \right)}{3}+\frac{x^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3}+\frac{2 a p x}{3 b}+\frac{\sqrt{-a b}\, a p \ln \left(-a -\sqrt{-a b}\, x \right)}{3 b^{2}}-\frac{\sqrt{-a b}\, a p \ln \left(-a +\sqrt{-a b}\, x \right)}{3 b^{2}}"," ",0,"1/3*x^3*ln((b*x^2+a)^p)+1/6*I*Pi*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/6*I*Pi*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/6*I*Pi*x^3*csgn(I*c*(b*x^2+a)^p)^3+1/6*I*Pi*x^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/3*ln(c)*x^3-2/9*p*x^3+1/3/b^2*(-a*b)^(1/2)*a*p*ln(-(-a*b)^(1/2)*x-a)-1/3/b^2*(-a*b)^(1/2)*a*p*ln((-a*b)^(1/2)*x-a)+2/3*a*p*x/b","C"
4,1,50,31,0.074000," ","int(x*ln(c*(b*x^2+a)^p),x)","-\frac{p \,x^{2}}{2}+\frac{x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}{2}-\frac{a p}{2 b}+\frac{a \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}{2 b}"," ",0,"1/2*x^2*ln(c*(b*x^2+a)^p)-1/2*p*x^2+1/2/b*ln(c*(b*x^2+a)^p)*a-1/2/b*a*p","A"
5,1,38,37,0.051000," ","int(ln(c*(b*x^2+a)^p),x)","\frac{2 a p \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-2 p x +x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)"," ",0,"x*ln(c*(b*x^2+a)^p)-2*p*x+2*p*a/(a*b)^(1/2)*arctan(b*x/(a*b)^(1/2))","A"
6,1,232,40,0.247000," ","int(ln(c*(b*x^2+a)^p)/x,x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2}-p \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)-p \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)-p \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)-p \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)+\ln \left(c \right) \ln \left(x \right)+\ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)"," ",0,"ln(x)*ln((b*x^2+a)^p)-p*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2*I*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/2*I*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+ln(c)*ln(x)","C"
7,1,195,36,0.263000," ","int(ln(c*(b*x^2+a)^p)/x^2,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{x}-\frac{-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 \sqrt{-a b}\, p x \ln \left(-b x -\sqrt{-a b}\right)+2 \sqrt{-a b}\, p x \ln \left(-b x +\sqrt{-a b}\right)+2 a \ln \left(c \right)}{2 a x}"," ",0,"-1/x*ln((b*x^2+a)^p)-1/2*(I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*a*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-2*(-a*b)^(1/2)*p*ln(-b*x-(-a*b)^(1/2))*x+2*(-a*b)^(1/2)*p*ln(-b*x+(-a*b)^(1/2))*x+2*ln(c)*a)/a/x","C"
8,1,173,36,0.254000," ","int(ln(c*(b*x^2+a)^p)/x^3,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{2}}-\frac{-4 b p \,x^{2} \ln \left(x \right)+2 b p \,x^{2} \ln \left(b \,x^{2}+a \right)-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 a \ln \left(c \right)}{4 a \,x^{2}}"," ",0,"-1/2/x^2*ln((b*x^2+a)^p)-1/4*(I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)-I*Pi*a*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2-4*b*p*ln(x)*x^2+2*b*p*ln(b*x^2+a)*x^2+2*a*ln(c))/a/x^2","C"
9,1,211,46,0.354000," ","int(ln(c*(b*x^2+a)^p)/x^4,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 x^{3}}-\frac{-2 a \,x^{3} \RootOf \left(a^{3} \textit{\_Z}^{2}+b^{3} p^{2}\right) \ln \left(\RootOf \left(a^{3} \textit{\_Z}^{2}+b^{3} p^{2}\right) a^{2} b p +\left(3 \RootOf \left(a^{3} \textit{\_Z}^{2}+b^{3} p^{2}\right)^{2} a^{3}+2 b^{3} p^{2}\right) x \right)-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+4 b p \,x^{2}+2 a \ln \left(c \right)}{6 a \,x^{3}}"," ",0,"-1/3/x^3*ln((b*x^2+a)^p)-1/6*(I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)-I*Pi*a*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2-2*sum(_R*ln((3*_R^2*a^3+2*b^3*p^2)*x+a^2*b*p*_R),_R=RootOf(_Z^2*a^3+b^3*p^2))*a*x^3+4*x^2*p*b+2*a*ln(c))/a/x^3","C"
10,1,198,56,0.260000," ","int(ln(c*(b*x^2+a)^p)/x^5,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 x^{4}}-\frac{4 b^{2} p \,x^{4} \ln \left(x \right)-2 b^{2} p \,x^{4} \ln \left(-b \,x^{2}-a \right)-i \pi  \,a^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,a^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,a^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \,a^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 a b p \,x^{2}+2 a^{2} \ln \left(c \right)}{8 a^{2} x^{4}}"," ",0,"-1/4/x^4*ln((b*x^2+a)^p)-1/8*(4*b^2*p*ln(x)*x^4-2*b^2*p*ln(-b*x^2-a)*x^4+I*Pi*a^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*a^2*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*a*b*p*x^2+2*ln(c)*a^2)/a^2/x^4","C"
11,1,235,58,0.395000," ","int(ln(c*(b*x^2+a)^p)/x^6,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{5 x^{5}}-\frac{-6 \sqrt{-a b}\, b^{2} p \,x^{5} \ln \left(-b x -\sqrt{-a b}\right)+6 \sqrt{-a b}\, b^{2} p \,x^{5} \ln \left(-b x +\sqrt{-a b}\right)-12 a \,b^{2} p \,x^{4}-3 i \pi  \,a^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+3 i \pi  \,a^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+3 i \pi  \,a^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-3 i \pi  \,a^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+4 a^{2} b p \,x^{2}+6 a^{3} \ln \left(c \right)}{30 a^{3} x^{5}}"," ",0,"-1/5/x^5*ln((b*x^2+a)^p)-1/30*(-6*(-a*b)^(1/2)*p*b^2*ln(-b*x-(-a*b)^(1/2))*x^5+6*(-a*b)^(1/2)*p*b^2*ln(-b*x+(-a*b)^(1/2))*x^5+3*I*Pi*a^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3*I*Pi*a^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3*I*Pi*a^3*csgn(I*c*(b*x^2+a)^p)^3+3*I*Pi*a^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-12*a*b^2*p*x^4+4*a^2*b*p*x^2+6*ln(c)*a^3)/a^3/x^5","C"
12,1,206,68,0.346000," ","int(ln(c*(b*x^2+a)^p)/x^7,x)","-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 x^{6}}-\frac{-4 b^{3} p \,x^{6} \ln \left(x \right)+2 b^{3} p \,x^{6} \ln \left(b \,x^{2}+a \right)-2 a \,b^{2} p \,x^{4}-i \pi  \,a^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,a^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,a^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \,a^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+a^{2} b p \,x^{2}+2 a^{3} \ln \left(c \right)}{12 a^{3} x^{6}}"," ",0,"-1/6/x^6*ln((b*x^2+a)^p)-1/12*(-4*b^3*p*ln(x)*x^6+2*b^3*p*ln(b*x^2+a)*x^6+I*Pi*a^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*a^3*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-2*a*b^2*p*x^4+a^2*b*p*x^2+2*a^3*ln(c))/a^3/x^6","C"
13,1,183,51,0.428000," ","int(x^5*ln(c*(b*x^3+a)^p),x)","-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{12}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{12}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{12}-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{12}-\frac{p \,x^{6}}{12}+\frac{x^{6} \ln \left(c \right)}{6}+\frac{x^{6} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{6}+\frac{a p \,x^{3}}{6 b}-\frac{a^{2} p \ln \left(b \,x^{3}+a \right)}{6 b^{2}}"," ",0,"1/6*x^6*ln((b*x^3+a)^p)+1/12*I*Pi*x^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/12*I*Pi*x^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/12*I*Pi*x^6*csgn(I*c*(b*x^3+a)^p)^3+1/12*I*Pi*x^6*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/6*ln(c)*x^6-1/12*p*x^6+1/6*a/b*p*x^3-1/6*a^2*p*ln(b*x^3+a)/b^2","C"
14,1,196,114,0.423000," ","int(x^4*ln(c*(b*x^3+a)^p),x)","-\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{10}+\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{10}+\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{10}-\frac{i \pi  \,x^{5} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{10}-\frac{3 p \,x^{5}}{25}+\frac{x^{5} \ln \left(c \right)}{5}+\frac{x^{5} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{5}+\frac{3 a p \,x^{2}}{10 b}-\frac{a^{2} p \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{5 b^{2} \RootOf \left(b \,\textit{\_Z}^{3}+a \right)}"," ",0,"1/5*x^5*ln((b*x^3+a)^p)-1/10*I*Pi*x^5*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+1/10*I*Pi*x^5*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/10*I*Pi*x^5*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/10*I*Pi*x^5*csgn(I*c*(b*x^3+a)^p)^3+1/5*x^5*ln(c)-3/25*p*x^5+3/10*a/b*p*x^2-1/5/b^2*a^2*p*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^3*b+a))","C"
15,1,194,112,0.420000," ","int(x^3*ln(c*(b*x^3+a)^p),x)","-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{8}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{8}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{8}-\frac{3 p \,x^{4}}{16}+\frac{x^{4} \ln \left(c \right)}{4}+\frac{x^{4} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{4}-\frac{a^{2} p \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{4 b^{2} \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2}}+\frac{3 a p x}{4 b}"," ",0,"1/4*x^4*ln((b*x^3+a)^p)+1/8*I*Pi*x^4*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/8*I*Pi*x^4*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/8*I*Pi*x^4*csgn(I*c*(b*x^3+a)^p)^3+1/8*I*Pi*x^4*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/4*ln(c)*x^4-3/16*p*x^4-1/4/b^2*a^2*p*sum(1/_R^2*ln(-_R+x),_R=RootOf(_Z^3*b+a))+3/4*a/b*p*x","C"
16,1,50,31,0.046000," ","int(x^2*ln(c*(b*x^3+a)^p),x)","-\frac{p \,x^{3}}{3}+\frac{x^{3} \ln \left(c \left(b \,x^{3}+a \right)^{p}\right)}{3}-\frac{a p}{3 b}+\frac{a \ln \left(c \left(b \,x^{3}+a \right)^{p}\right)}{3 b}"," ",0,"1/3*x^3*ln(c*(b*x^3+a)^p)-1/3*p*x^3+1/3/b*ln(c*(b*x^3+a)^p)*a-1/3/b*a*p","A"
17,1,184,104,0.452000," ","int(x*ln(c*(b*x^3+a)^p),x)","-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4}-\frac{3 p \,x^{2}}{4}+\frac{x^{2} \ln \left(c \right)}{2}+\frac{x^{2} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{2}+\frac{a p \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{2 b \RootOf \left(b \,\textit{\_Z}^{3}+a \right)}"," ",0,"1/2*x^2*ln((b*x^3+a)^p)+1/4*I*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*(b*x^3+a)^p)*x^2*Pi-1/4*I*Pi*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/4*I*Pi*x^2*csgn(I*c*(b*x^3+a)^p)^3+1/4*I*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2*x^2*Pi+1/2*ln(c)*x^2-3/4*p*x^2+1/2*a/b*p*sum(1/_R*ln(-_R+x),_R=RootOf(_Z^3*b+a))","C"
18,1,113,98,0.052000," ","int(ln(c*(b*x^3+a)^p),x)","\frac{\sqrt{3}\, a p \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{a p \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{a p \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-3 p x +x \ln \left(c \left(b \,x^{3}+a \right)^{p}\right)"," ",0,"x*ln(c*(b*x^3+a)^p)-3*p*x+1/b*p*a/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/2/b*p*a/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/b*p*a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
19,1,180,40,0.406000," ","int(ln(c*(b*x^3+a)^p)/x,x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2}-p \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)+\dilog \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)\right)+\ln \left(c \right) \ln \left(x \right)+\ln \left(x \right) \ln \left(\left(b \,x^{3}+a \right)^{p}\right)"," ",0,"ln(x)*ln((b*x^3+a)^p)-p*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^3*b+a))+1/2*I*ln(x)*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/2*I*ln(x)*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/2*I*ln(x)*Pi*csgn(I*c*(b*x^3+a)^p)^3+1/2*I*ln(x)*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+ln(c)*ln(x)","C"
20,1,184,98,0.342000," ","int(ln(c*(b*x^3+a)^p)/x^2,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{x}-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}-2 x \RootOf \left(a \,\textit{\_Z}^{3}+b \,p^{3}\right) \ln \left(\RootOf \left(a \,\textit{\_Z}^{3}+b \,p^{3}\right)^{2} a p +\left(-4 \RootOf \left(a \,\textit{\_Z}^{3}+b \,p^{3}\right)^{3} a -3 b \,p^{3}\right) x \right)+2 \ln \left(c \right)}{2 x}"," ",0,"-1/x*ln((b*x^3+a)^p)-1/2*(I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-I*Pi*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-2*sum(_R*ln((-4*_R^3*a-3*b*p^3)*x+a*p*_R^2),_R=RootOf(_Z^3*a+b*p^3))*x+2*ln(c))/x","C"
21,1,197,98,0.339000," ","int(ln(c*(b*x^3+a)^p)/x^3,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{2 x^{2}}-\frac{-2 x^{2} \RootOf \left(a^{2} \textit{\_Z}^{3}-b^{2} p^{3}\right) \ln \left(-\RootOf \left(a^{2} \textit{\_Z}^{3}-b^{2} p^{3}\right) a b \,p^{2}+\left(-4 \RootOf \left(a^{2} \textit{\_Z}^{3}-b^{2} p^{3}\right)^{3} a^{2}+3 b^{2} p^{3}\right) x \right)-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)}{4 x^{2}}"," ",0,"-1/2/x^2*ln((b*x^3+a)^p)-1/4*(I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*csgn(I*c)*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)-I*Pi*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2-2*sum(_R*ln((-4*_R^3*a^2+3*b^2*p^3)*x-a*p^2*_R*b),_R=RootOf(_Z^3*a^2-b^2*p^3))*x^2+2*ln(c))/x^2","C"
22,1,173,41,0.252000," ","int(ln(c*(b*x^3+a)^p)/x^4,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{3 x^{3}}-\frac{-6 b p \,x^{3} \ln \left(x \right)+2 b p \,x^{3} \ln \left(b \,x^{3}+a \right)-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+2 a \ln \left(c \right)}{6 a \,x^{3}}"," ",0,"-1/3/x^3*ln((b*x^3+a)^p)-1/6*(I*Pi*a*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-I*Pi*a*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*a*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-6*b*p*ln(x)*x^3+2*b*p*ln(b*x^3+a)*x^3+2*a*ln(c))/a/x^3","C"
23,1,215,108,0.365000," ","int(ln(c*(b*x^3+a)^p)/x^5,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{4 x^{4}}-\frac{-2 a \,x^{4} \RootOf \left(a^{4} \textit{\_Z}^{3}-b^{4} p^{3}\right) \ln \left(-\RootOf \left(a^{4} \textit{\_Z}^{3}-b^{4} p^{3}\right)^{2} a^{3} b p +\left(-4 \RootOf \left(a^{4} \textit{\_Z}^{3}-b^{4} p^{3}\right)^{3} a^{4}+3 b^{4} p^{3}\right) x \right)+6 b p \,x^{3}-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+2 a \ln \left(c \right)}{8 a \,x^{4}}"," ",0,"-1/4/x^4*ln((b*x^3+a)^p)-1/8*(I*Pi*a*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a*csgn(I*c)*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)-I*Pi*a*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*a*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2-2*sum(_R*ln((-4*_R^3*a^4+3*b^4*p^3)*x-a^3*b*p*_R^2),_R=RootOf(_Z^3*a^4-b^4*p^3))*a*x^4+6*b*p*x^3+2*a*ln(c))/a/x^4","C"
24,1,216,108,0.359000," ","int(ln(c*(b*x^3+a)^p)/x^6,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{5 x^{5}}-\frac{-2 a \,x^{5} \RootOf \left(a^{5} \textit{\_Z}^{3}+b^{5} p^{3}\right) \ln \left(-\RootOf \left(a^{5} \textit{\_Z}^{3}+b^{5} p^{3}\right) a^{2} b^{3} p^{2}+\left(-4 \RootOf \left(a^{5} \textit{\_Z}^{3}+b^{5} p^{3}\right)^{3} a^{5}-3 b^{5} p^{3}\right) x \right)+3 b p \,x^{3}-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+2 a \ln \left(c \right)}{10 a \,x^{5}}"," ",0,"-1/5/x^5*ln((b*x^3+a)^p)-1/10*(-2*sum(_R*ln((-4*_R^3*a^5-3*b^5*p^3)*x-a^2*b^3*p^2*_R),_R=RootOf(_Z^3*a^5+b^5*p^3))*a*x^5+I*Pi*a*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a*csgn(I*c)*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)-I*Pi*a*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*a*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2+3*b*p*x^3+2*a*ln(c))/a/x^5","C"
25,1,198,56,0.261000," ","int(ln(c*(b*x^3+a)^p)/x^7,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{6 x^{6}}-\frac{6 b^{2} p \,x^{6} \ln \left(x \right)-2 b^{2} p \,x^{6} \ln \left(-b \,x^{3}-a \right)+2 a b p \,x^{3}-i \pi  \,a^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  \,a^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  \,a^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  \,a^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+2 a^{2} \ln \left(c \right)}{12 a^{2} x^{6}}"," ",0,"-1/6/x^6*ln((b*x^3+a)^p)-1/12*(6*b^2*p*ln(x)*x^6-2*b^2*p*ln(-b*x^3-a)*x^6+I*Pi*a^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-I*Pi*a^2*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*a^2*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+2*a*b*p*x^3+2*a^2*ln(c))/a^2/x^6","C"
26,0,0,77,0.139000," ","int(x^4*ln(c*(a+b/x)^p),x)","\int x^{4} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int(x^4*ln(c*(a+b/x)^p),x)","F"
27,0,0,65,0.066000," ","int(x^3*ln(c*(a+b/x)^p),x)","\int x^{3} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int(x^3*ln(c*(a+b/x)^p),x)","F"
28,0,0,53,0.087000," ","int(x^2*ln(c*(a+b/x)^p),x)","\int x^{2} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int(x^2*ln(c*(a+b/x)^p),x)","F"
29,0,0,41,0.083000," ","int(x*ln(c*(a+b/x)^p),x)","\int x \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int(x*ln(c*(a+b/x)^p),x)","F"
30,1,30,27,0.049000," ","int(ln(c*(a+b/x)^p),x)","\frac{b p \ln \left(a x +b \right)}{a}+x \ln \left(c \left(\frac{a x +b}{x}\right)^{p}\right)"," ",0,"x*ln(c*((a*x+b)/x)^p)+b*p*ln(a*x+b)/a","A"
31,0,0,40,0.109000," ","int(ln(c*(a+b/x)^p)/x,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{x}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x,x)","F"
32,1,48,30,0.049000," ","int(ln(c*(a+b/x)^p)/x^2,x)","\frac{a p}{b}-\frac{a \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{b}+\frac{p}{x}-\frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{x}"," ",0,"-1/b*ln(c*(a+b/x)^p)*a-1/x*ln(c*(a+b/x)^p)+a/b*p+p/x","A"
33,0,0,51,0.091000," ","int(ln(c*(a+b/x)^p)/x^3,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{x^{3}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x^3,x)","F"
34,0,0,63,0.061000," ","int(ln(c*(a+b/x)^p)/x^4,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{x^{4}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x^4,x)","F"
35,0,0,75,0.088000," ","int(ln(c*(a+b/x)^p)/x^5,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{x^{5}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x^5,x)","F"
36,0,0,56,0.223000," ","int(x^4*ln(c*(a+b/x^2)^p),x)","\int x^{4} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int(x^4*ln(c*(a+b/x^2)^p),x)","F"
37,0,0,45,0.059000," ","int(x^3*ln(c*(a+b/x^2)^p),x)","\int x^{3} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int(x^3*ln(c*(a+b/x^2)^p),x)","F"
38,0,0,44,0.057000," ","int(x^2*ln(c*(a+b/x^2)^p),x)","\int x^{2} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int(x^2*ln(c*(a+b/x^2)^p),x)","F"
39,0,0,33,0.078000," ","int(x*ln(c*(a+b/x^2)^p),x)","\int x \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int(x*ln(c*(a+b/x^2)^p),x)","F"
40,1,38,33,0.050000," ","int(ln(c*(a+b/x^2)^p),x)","\frac{2 b p \arctan \left(\frac{a x}{\sqrt{a b}}\right)}{\sqrt{a b}}+x \ln \left(c \left(\frac{a \,x^{2}+b}{x^{2}}\right)^{p}\right)"," ",0,"x*ln(c*((a*x^2+b)/x^2)^p)+2*b*p/(a*b)^(1/2)*arctan(a*x/(a*b)^(1/2))","A"
41,0,0,40,0.104000," ","int(ln(c*(a+b/x^2)^p)/x,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{x}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x,x)","F"
42,0,0,42,0.060000," ","int(ln(c*(a+b/x^2)^p)/x^2,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{x^{2}}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x^2,x)","F"
43,1,50,31,0.051000," ","int(ln(c*(a+b/x^2)^p)/x^3,x)","\frac{a p}{2 b}-\frac{a \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{2 b}+\frac{p}{2 x^{2}}-\frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{2 x^{2}}"," ",0,"-1/2/b*ln(c*(a+b/x^2)^p)*a-1/2/x^2*ln(c*(a+b/x^2)^p)+1/2*a/b*p+1/2*p/x^2","A"
44,0,0,52,0.088000," ","int(ln(c*(a+b/x^2)^p)/x^4,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{x^{4}}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x^4,x)","F"
45,1,9,8,0.046000," ","int(ln(1+b/x)/x,x)","\dilog \left(\frac{b}{x}+1\right)"," ",0,"dilog(1+b/x)","A"
46,0,0,121,0.141000," ","int(x^3*ln(c*(a+b*x^(1/2))^p),x)","\int x^{3} \ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)\, dx"," ",0,"int(x^3*ln(c*(a+b*x^(1/2))^p),x)","F"
47,0,0,97,0.082000," ","int(x^2*ln(c*(b*x^(1/2)+a)^p),x)","\int x^{2} \ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)\, dx"," ",0,"int(x^2*ln(c*(b*x^(1/2)+a)^p),x)","F"
48,0,0,73,0.056000," ","int(x*ln(c*(b*x^(1/2)+a)^p),x)","\int x \ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)\, dx"," ",0,"int(x*ln(c*(b*x^(1/2)+a)^p),x)","F"
49,1,46,45,0.049000," ","int(ln(c*(b*x^(1/2)+a)^p),x)","-\frac{a^{2} p \ln \left(b \sqrt{x}+a \right)}{b^{2}}-\frac{p x}{2}+x \ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)+\frac{a p \sqrt{x}}{b}"," ",0,"-1/2*p*x-a^2*p*ln(b*x^(1/2)+a)/b^2+x*ln(c*(b*x^(1/2)+a)^p)+a*p*x^(1/2)/b","A"
50,0,0,40,0.057000," ","int(ln(c*(b*x^(1/2)+a)^p)/x,x)","\int \frac{\ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)}{x}\, dx"," ",0,"int(ln(c*(b*x^(1/2)+a)^p)/x,x)","F"
51,0,0,55,0.050000," ","int(ln(c*(b*x^(1/2)+a)^p)/x^2,x)","\int \frac{\ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)}{x^{2}}\, dx"," ",0,"int(ln(c*(b*x^(1/2)+a)^p)/x^2,x)","F"
52,0,0,80,0.052000," ","int(ln(c*(b*x^(1/2)+a)^p)/x^3,x)","\int \frac{\ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)}{x^{3}}\, dx"," ",0,"int(ln(c*(b*x^(1/2)+a)^p)/x^3,x)","F"
53,0,0,104,0.052000," ","int(ln(c*(b*x^(1/2)+a)^p)/x^4,x)","\int \frac{\ln \left(c \left(b \sqrt{x}+a \right)^{p}\right)}{x^{4}}\, dx"," ",0,"int(ln(c*(b*x^(1/2)+a)^p)/x^4,x)","F"
54,1,40,26,0.042000," ","int(ln(b*x^(1/2)+a)/x^(1/2),x)","2 \sqrt{x}\, \ln \left(b \sqrt{x}+a \right)+\frac{2 a \ln \left(b \sqrt{x}+a \right)}{b}-2 \sqrt{x}-\frac{2 a}{b}"," ",0,"2*x^(1/2)*ln(b*x^(1/2)+a)-2*x^(1/2)+2/b*ln(b*x^(1/2)+a)*a-2*a/b","A"
55,0,0,79,1.114000," ","int((f*x)^m*ln(c*(e*x^3+d)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(e*x^3+d)^p),x)","F"
56,0,0,79,1.122000," ","int((f*x)^m*ln(c*(e*x^2+d)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(e*x^2+d)^p),x)","F"
57,0,0,71,0.958000," ","int((f*x)^m*ln(c*(e*x+d)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e x +d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(e*x+d)^p),x)","F"
58,-1,0,69,180.000000," ","int((f*x)^m*ln(c*(d+e/x)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(d +\frac{e}{x}\right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e/x)^p),x)","F"
59,-1,0,76,180.000000," ","int((f*x)^m*ln(c*(d+e/x^2)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(d +\frac{e}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e/x^2)^p),x)","F"
60,0,0,79,8.851000," ","int((f*x)^m*ln(c*(d+e/x^3)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(d +\frac{e}{x^{3}}\right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e/x^3)^p),x)","F"
61,0,0,79,0.135000," ","int((f*x)^m*ln(c*(d+e*x^(1/2))^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e \sqrt{x}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e*x^(1/2))^p),x)","F"
62,0,0,66,0.174000," ","int((f*x)^m*ln(c*(d+e/x^(1/2))^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e/x^(1/2))^p),x)","F"
63,0,0,89,1.535000," ","int((f*x)^m*ln(c*(d+e*x^n)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(d+e*x^n)^p),x)","F"
64,0,0,135,1.569000," ","int((f*x)^(-1+3*n)*ln(c*(e*x^n+d)^p),x)","\int \left(f x \right)^{3 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^(-1+3*n)*ln(c*(e*x^n+d)^p),x)","F"
65,0,0,106,1.497000," ","int((f*x)^(-1+2*n)*ln(c*(e*x^n+d)^p),x)","\int \left(f x \right)^{2 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^(-1+2*n)*ln(c*(e*x^n+d)^p),x)","F"
66,0,0,69,1.438000," ","int((f*x)^(n-1)*ln(c*(e*x^n+d)^p),x)","\int \left(f x \right)^{n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^(n-1)*ln(c*(e*x^n+d)^p),x)","F"
67,1,201,50,1.793000," ","int(ln(c*(e*x^n+d)^p)/f/x,x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2 f}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f}-\frac{p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f}+\frac{\ln \left(c \right) \ln \left(x \right)}{f}+\frac{\ln \left(x \right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f}-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{f n}"," ",0,"1/f*ln(x)*ln((e*x^n+d)^p)+1/2*I/f*ln(x)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-1/2*I/f*ln(x)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-1/2*I/f*ln(x)*Pi*csgn(I*c*(e*x^n+d)^p)^3+1/2*I/f*ln(x)*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+1/f*ln(c)*ln(x)-1/f*p/n*dilog((e*x^n+d)/d)-1/f*p*ln(x)*ln((e*x^n+d)/d)","C"
68,0,0,80,1.528000," ","int((f*x)^(-1-n)*ln(c*(e*x^n+d)^p),x)","\int \left(f x \right)^{-n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^(-1-n)*ln(c*(e*x^n+d)^p),x)","F"
69,0,0,120,1.544000," ","int((f*x)^(-1-2*n)*ln(c*(e*x^n+d)^p),x)","\int \left(f x \right)^{-2 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^(-1-2*n)*ln(c*(e*x^n+d)^p),x)","F"
70,0,0,63,1.139000," ","int(x^2*ln(c*(e*x^n+d)^p),x)","\int x^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int(x^2*ln(c*(e*x^n+d)^p),x)","F"
71,0,0,63,1.290000," ","int(x*ln(c*(e*x^n+d)^p),x)","\int x \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int(x*ln(c*(e*x^n+d)^p),x)","F"
72,0,0,56,1.042000," ","int(ln(c*(e*x^n+d)^p),x)","\int \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int(ln(c*(e*x^n+d)^p),x)","F"
73,1,177,44,1.708000," ","int(ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\ln \left(c \right) \ln \left(x \right)+\ln \left(x \right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}"," ",0,"ln(x)*ln((e*x^n+d)^p)+1/2*I*ln(x)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-1/2*I*ln(x)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-1/2*I*ln(x)*Pi*csgn(I*c*(e*x^n+d)^p)^3+1/2*I*ln(x)*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+ln(c)*ln(x)-p/n*dilog((e*x^n+d)/d)-p*ln(x)*ln((e*x^n+d)/d)","C"
74,0,0,65,1.004000," ","int(ln(c*(e*x^n+d)^p)/x^2,x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{x^{2}}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/x^2,x)","F"
75,0,0,65,1.002000," ","int(ln(c*(e*x^n+d)^p)/x^3,x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{x^{3}}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/x^3,x)","F"
76,0,0,65,1.008000," ","int(ln(c*(e*x^n+d)^p)/x^4,x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{x^{4}}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/x^4,x)","F"
77,1,1436,201,0.524000," ","int(x^5*ln(c*(b*x^2+a)^p)^2,x)","-\frac{a^{3} p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{6 b^{3}}-\frac{p \,x^{6} \ln \left(c \right)}{9}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{6}}{24}+\frac{\left(-3 i \pi  \,b^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+3 i \pi  \,b^{3} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+3 i \pi  \,b^{3} x^{6} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-3 i \pi  \,b^{3} x^{6} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 b^{3} p \,x^{6}+6 b^{3} x^{6} \ln \left(c \right)+3 a \,b^{2} p \,x^{4}-6 a^{2} b p \,x^{2}+6 a^{3} p \ln \left(b \,x^{2}+a \right)\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{18 b^{3}}-\frac{11 a^{3} p^{2} \ln \left(b \,x^{2}+a \right)}{18 b^{3}}+\frac{p^{2} x^{6}}{27}+\frac{11 a^{2} p^{2} x^{2}}{18 b^{2}}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{12}+\frac{x^{6} \ln \left(c \right)^{2}}{6}-\frac{5 a \,p^{2} x^{4}}{36 b}+\frac{x^{6} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{6}+\frac{a p \,x^{4} \ln \left(c \right)}{6 b}-\frac{a^{2} p \,x^{2} \ln \left(c \right)}{3 b^{2}}+\frac{a^{3} p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{3 b^{3}}-\frac{i \pi  \,a^{2} p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 b^{2}}-\frac{i \pi  \,a^{2} p \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 b^{2}}+\frac{i \pi  \,a^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{6 b^{3}}+\frac{i \pi  \,a^{3} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{6 b^{3}}-\frac{i \pi  a p \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{12 b}+\frac{i \pi  \,a^{2} p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{6 b^{2}}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{12}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{6}+\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{18}-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(c \right)}{6}-\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{18}-\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{18}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{6}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{6}-\frac{i \pi  \,a^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{6 b^{3}}+\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{18}-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(c \right)}{6}-\frac{i \pi  a p \,x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{12 b}+\frac{i \pi  \,a^{2} p \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{6 b^{2}}-\frac{i \pi  \,a^{3} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{6 b^{3}}+\frac{i \pi  a p \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{12 b}+\frac{i \pi  a p \,x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{12 b}"," ",0,"1/18*(3*I*Pi*b^3*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3*I*Pi*b^3*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3*I*Pi*b^3*x^6*csgn(I*c*(b*x^2+a)^p)^3+3*I*Pi*b^3*x^6*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+6*ln(c)*b^3*x^6-2*b^3*p*x^6+3*a*b^2*p*x^4-6*a^2*b*p*x^2+6*a^3*p*ln(b*x^2+a))/b^3*ln((b*x^2+a)^p)-1/6*a^3*p^2*ln(b*x^2+a)^2/b^3-1/9*ln(c)*p*x^6-1/24*Pi^2*x^6*csgn(I*c*(b*x^2+a)^p)^6-11/18*a^3*p^2/b^3*ln(b*x^2+a)+1/27*p^2*x^6+11/18*a^2*p^2*x^2/b^2+1/6*ln(c)^2*x^6-5/36/b*a*p^2*x^4-1/24*Pi^2*x^6*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+1/12*Pi^2*x^6*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-1/24*Pi^2*x^6*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+1/12*Pi^2*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+1/6*x^6*ln((b*x^2+a)^p)^2+1/6/b*ln(c)*a*p*x^4-1/24*Pi^2*x^6*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+1/12*Pi^2*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+1/12*Pi^2*x^6*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-1/6*Pi^2*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)-1/3/b^2*ln(c)*a^2*p*x^2+1/3/b^3*ln(c)*ln(b*x^2+a)*a^3*p-1/6*I*ln(c)*Pi*x^6*csgn(I*c*(b*x^2+a)^p)^3+1/18*I*Pi*p*x^6*csgn(I*c*(b*x^2+a)^p)^3+1/6*I*ln(c)*Pi*x^6*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/6*I*ln(c)*Pi*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/18*I*Pi*p*x^6*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/18*I*Pi*p*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/12*I/b*Pi*a*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/6*I/b^2*Pi*a^2*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/6*I/b^3*Pi*ln(b*x^2+a)*a^3*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/12*I/b*Pi*a*p*x^4*csgn(I*c*(b*x^2+a)^p)^3+1/6*I/b^2*Pi*a^2*p*x^2*csgn(I*c*(b*x^2+a)^p)^3-1/6*I/b^3*Pi*ln(b*x^2+a)*a^3*p*csgn(I*c*(b*x^2+a)^p)^3-1/6*I*ln(c)*Pi*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/18*I*Pi*p*x^6*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/12*I/b*Pi*a*p*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/12*I/b*Pi*a*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/6*I/b^2*Pi*a^2*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/6*I/b^2*Pi*a^2*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/6*I/b^3*Pi*ln(b*x^2+a)*a^3*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/6*I/b^3*Pi*ln(b*x^2+a)*a^3*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2","C"
78,1,1242,137,0.473000," ","int(x^3*ln(c*(b*x^2+a)^p)^2,x)","-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{6}}{16}+\frac{\left(-i \pi  \,b^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,b^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,b^{2} x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \,b^{2} x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-b^{2} p \,x^{4}+2 b^{2} x^{4} \ln \left(c \right)+2 a b p \,x^{2}-2 a^{2} p \ln \left(b \,x^{2}+a \right)\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 b^{2}}-\frac{p \,x^{4} \ln \left(c \right)}{4}+\frac{p^{2} x^{4}}{8}+\frac{3 a^{2} p^{2} \ln \left(b \,x^{2}+a \right)}{4 b^{2}}-\frac{3 a \,p^{2} x^{2}}{4 b}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{16}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{8}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{16}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{8}+\frac{a^{2} p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{4 b^{2}}+\frac{i \pi  a p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 b}+\frac{i \pi  a p \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 b}-\frac{i \pi  \,a^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{4 b^{2}}-\frac{i \pi  \,a^{2} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{4 b^{2}}+\frac{i \pi  \,a^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{4 b^{2}}+\frac{x^{4} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{4}+\frac{x^{4} \ln \left(c \right)^{2}}{4}+\frac{a p \,x^{2} \ln \left(c \right)}{2 b}-\frac{a^{2} p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{2 b^{2}}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{16}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{8}+\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{8}-\frac{\pi^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{4}+\frac{i \pi  p \,x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(c \right)}{4}+\frac{i \pi  p \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{8}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(c \right)}{4}-\frac{i \pi  a p \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4 b}+\frac{i \pi  \,a^{2} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{4 b^{2}}-\frac{i \pi  a p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4 b}-\frac{i \pi  p \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}-\frac{i \pi  p \,x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{4}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{4}"," ",0,"-1/4*ln(c)*p*x^4-1/16*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^6+1/4*(I*Pi*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*ln(c)*b^2*x^4-b^2*p*x^4+2*a*b*p*x^2-2*a^2*p*ln(b*x^2+a))/b^2*ln((b*x^2+a)^p)+1/8*x^4*p^2+3/4*a^2*p^2/b^2*ln(b*x^2+a)-3/4*a*p^2*x^2/b+1/4/b^2*a^2*p^2*ln(b*x^2+a)^2-1/16*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+1/8*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+1/8*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-1/16*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+1/4*x^4*ln((b*x^2+a)^p)^2+1/4*I/b^2*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^3-1/4*I*ln(c)*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/8*I*Pi*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/4*I/b*Pi*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^3+1/4*ln(c)^2*x^4+1/8*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-1/16*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2-1/4*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+1/8*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+1/2/b*ln(c)*a*p*x^2-1/2/b^2*ln(c)*ln(b*x^2+a)*a^2*p-1/4*I*ln(c)*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^3+1/8*I*Pi*p*x^4*csgn(I*c*(b*x^2+a)^p)^3+1/4*I*ln(c)*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/8*I*Pi*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/4*I*ln(c)*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/8*I*Pi*p*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/4*I/b*Pi*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/4*I/b*Pi*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/4*I/b^2*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/4*I/b^2*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/4*I/b*Pi*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/4*I/b^2*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)","C"
79,1,1034,59,0.532000," ","int(x*ln(c*(b*x^2+a)^p)^2,x)","-p \,x^{2} \ln \left(c \right)-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{6}}{8}+\frac{\left(-i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 b p \,x^{2}+2 b \,x^{2} \ln \left(c \right)+2 a p \ln \left(b \,x^{2}+a \right)\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 b}-\frac{a \,p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{2 b}+\frac{x^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}-\frac{a \,p^{2} \ln \left(b \,x^{2}+a \right)}{b}+p^{2} x^{2}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{8}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{8}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{5}}{4}+\frac{x^{2} \ln \left(c \right)^{2}}{2}-\frac{i \pi  p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}-\frac{i \pi  p \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{2}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(c \right)}{2}+\frac{a p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{b}+\frac{i \pi  p \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2}+\frac{i \pi  a p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{2 b}+\frac{i \pi  a p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{2 b}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4}+\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4}-\frac{\pi^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{4}}{2}+\frac{i \pi  p \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(c \right)}{2}-\frac{i \pi  a p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{2 b}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(c \right)}{2}-\frac{i \pi  a p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{2 b}"," ",0,"-1/8*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^6-ln(c)*p*x^2+1/2*(I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*b*x^2*ln(c)-2*b*p*x^2+2*a*p*ln(b*x^2+a))/b*ln((b*x^2+a)^p)-1/2/b*a*p^2*ln(b*x^2+a)^2-1/8*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+1/4*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+1/4*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)+1/2*x^2*ln((b*x^2+a)^p)^2-a*p^2/b*ln(b*x^2+a)-1/8*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+p^2*x^2+1/2*I/b*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/2*I/b*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/4*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)+1/2*ln(c)^2*x^2+1/2*I*ln(c)*Pi*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/2*I*Pi*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/2*I*ln(c)*Pi*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/2*I*Pi*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/8*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+1/b*ln(c)*ln(b*x^2+a)*a*p-1/2*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+1/4*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2-1/2*I*ln(c)*Pi*x^2*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*Pi*p*x^2*csgn(I*c*(b*x^2+a)^p)^3-1/2*I/b*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/2*I*Pi*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*ln(c)*Pi*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I/b*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^3","C"
80,0,0,70,0.788000," ","int(ln(c*(b*x^2+a)^p)^2/x,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{x}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2/x,x)","F"
81,1,841,78,0.380000," ","int(ln(c*(b*x^2+a)^p)^2/x^3,x)","-\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{a}+\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{2 a}+\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{a}-\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{2 a}+\frac{i \pi  b p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{a}-\frac{i \pi  b p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{2 a}-\frac{i \pi  b p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{a}+\frac{i \pi  b p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{2 a}-\frac{2 b \,p^{2} \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a}-\frac{2 b \,p^{2} \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a}+\frac{b \,p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{2 a}-\frac{2 b \,p^{2} \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a}-\frac{2 b \,p^{2} \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a}+\frac{2 b p \ln \left(c \right) \ln \left(x \right)}{a}-\frac{b p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{a}+\frac{2 b p \ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{a}-\frac{b p \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{a}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{2}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{2}}-\frac{\ln \left(c \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{x^{2}}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 x^{2}}-\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)\right)^{2}}{8 x^{2}}"," ",0,"-1/2/x^2*ln((b*x^2+a)^p)^2-b*p*ln((b*x^2+a)^p)/a*ln(b*x^2+a)+2*b*p*ln((b*x^2+a)^p)/a*ln(x)-2*b*p^2/a*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-2*b*p^2/a*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-2*b*p^2/a*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-2*b*p^2/a*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2*b*p^2/a*ln(b*x^2+a)^2+1/2*I/x^2*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^3-1/2*I/x^2*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/2*I*b*p/a*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/2*I*b*p/a*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^3-1/x^2*ln((b*x^2+a)^p)*ln(c)-1/2*I*b*p/a*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+I*b*p/a*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/2*I/x^2*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+I*b*p/a*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-b*p/a*ln(b*x^2+a)*ln(c)-1/2*I/x^2*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*b*p/a*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*b*p/a*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*b*p/a*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+2*b*p/a*ln(x)*ln(c)-1/8*(I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*ln(c))^2/x^2","C"
82,1,1080,121,0.387000," ","int(ln(c*(b*x^2+a)^p)^2/x^5,x)","\frac{b^{2} p^{2} \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a^{2}}+\frac{b^{2} p^{2} \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a^{2}}-\frac{\ln \left(c \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 x^{4}}+\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{4 a^{2}}-\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 a \,x^{2}}-\frac{i \pi  b p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 a \,x^{2}}-\frac{b^{2} p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{4 a^{2}}-\frac{b^{2} p^{2} \ln \left(b \,x^{2}+a \right)}{2 a^{2}}+\frac{b^{2} p^{2} \ln \left(x \right)}{a^{2}}-\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 a^{2}}+\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{4 a^{2}}-\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 a^{2}}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 x^{4}}-\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)\right)^{2}}{16 x^{4}}+\frac{b^{2} p \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{b p \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 a \,x^{2}}-\frac{b^{2} p \ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{a^{2}}+\frac{i \pi  \,b^{2} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 a^{2}}-\frac{i \pi  \,b^{2} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{4 a^{2}}+\frac{i \pi  b p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4 a \,x^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 x^{4}}+\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4 a \,x^{2}}+\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{2 a^{2}}-\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{4 a^{2}}+\frac{b^{2} p^{2} \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a^{2}}+\frac{b^{2} p^{2} \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{a^{2}}+\frac{b^{2} p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{b p \ln \left(c \right)}{2 a \,x^{2}}-\frac{b^{2} p \ln \left(c \right) \ln \left(x \right)}{a^{2}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 x^{4}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 x^{4}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 x^{4}}"," ",0,"-1/2/x^4*ln((b*x^2+a)^p)*ln(c)-1/16*(-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+2*ln(c))^2/x^4+1/4*I*b^2*p/a^2*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/4*b^2*p^2/a^2*ln(b*x^2+a)^2-1/2*b^2*p^2/a^2*ln(b*x^2+a)+b^2*p^2/a^2*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+b^2*p^2/a^2*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+b^2*p^2*ln(x)/a^2-1/4*I*b*p/a/x^2*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/4*I/x^4*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/4*I/x^4*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/4/x^4*ln((b*x^2+a)^p)^2-1/2*I*b^2*p/a^2*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/4*I*b^2*p/a^2*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/4*I*b*p/a/x^2*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/2*I*b^2*p/a^2*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*b^2*p/a^2*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/4*I*b*p/a/x^2*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/4*I*b^2*p/a^2*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/4*I/x^4*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*b^2*p*ln((b*x^2+a)^p)/a^2*ln(b*x^2+a)-1/2*b*p*ln((b*x^2+a)^p)/a/x^2-b^2*p*ln((b*x^2+a)^p)/a^2*ln(x)-1/4*I*b^2*p/a^2*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/4*I*b*p/a/x^2*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*b^2*p/a^2*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/4*I/x^4*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+b^2*p^2/a^2*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+b^2*p^2/a^2*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2*b^2*p/a^2*ln(b*x^2+a)*ln(c)-1/2*b*p/a/x^2*ln(c)-b^2*p/a^2*ln(x)*ln(c)","C"
83,1,1289,179,0.437000," ","int(ln(c*(b*x^2+a)^p)^2/x^7,x)","\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 a^{2} x^{2}}+\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 a^{2} x^{2}}+\frac{b^{3} p^{2} \ln \left(b \,x^{2}+a \right)^{2}}{6 a^{3}}-\frac{\ln \left(c \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 x^{6}}-\frac{2 b^{3} p^{2} \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{3 a^{3}}-\frac{2 b^{3} p^{2} \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{3 a^{3}}+\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{3 a^{3}}-\frac{b^{3} p^{2} \ln \left(x \right)}{a^{3}}+\frac{b^{3} p^{2} \ln \left(b \,x^{2}+a \right)}{2 a^{3}}-\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{12 a \,x^{4}}-\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)\right)^{2}}{24 x^{6}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 x^{6}}-\frac{b^{2} p^{2}}{6 a^{2} x^{2}}-\frac{i \pi  \,b^{3} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{3 a^{3}}+\frac{i \pi  \,b^{3} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(b \,x^{2}+a \right)}{6 a^{3}}-\frac{i \pi  \,b^{2} p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{6 a^{2} x^{2}}+\frac{i \pi  b p \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{12 a \,x^{4}}-\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{6 a^{3}}+\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{3 a^{3}}-\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(b \,x^{2}+a \right)}{6 a^{3}}-\frac{i \pi  b p \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{12 a \,x^{4}}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 x^{6}}-\frac{b p \ln \left(c \right)}{6 a \,x^{4}}+\frac{b^{2} p \ln \left(c \right)}{3 a^{2} x^{2}}-\frac{b^{3} p \ln \left(c \right) \ln \left(b \,x^{2}+a \right)}{3 a^{3}}+\frac{2 b^{3} p \ln \left(c \right) \ln \left(x \right)}{3 a^{3}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 x^{6}}-\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{3 a^{3}}-\frac{2 b^{3} p^{2} \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{3 a^{3}}-\frac{2 b^{3} p^{2} \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{3 a^{3}}-\frac{b p \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 a \,x^{4}}+\frac{2 b^{3} p \ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 a^{3}}+\frac{b^{2} p \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 a^{2} x^{2}}-\frac{b^{3} p \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{3 a^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 x^{6}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{6 x^{6}}+\frac{i \pi  \,b^{3} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(b \,x^{2}+a \right)}{6 a^{3}}-\frac{i \pi  \,b^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{6 a^{2} x^{2}}+\frac{i \pi  b p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{12 a \,x^{4}}"," ",0,"-2/3*b^3*p^2/a^3*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-2/3*b^3*p^2/a^3*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/6*b^3*p^2/a^3*ln(b*x^2+a)^2-1/3/x^6*ln((b*x^2+a)^p)*ln(c)-b^3*p^2*ln(x)/a^3+1/2*b^3*p^2*ln(b*x^2+a)/a^3+1/6*I*b^2*p/a^2/x^2*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/3*I*b^3*p/a^3*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/6*I*b^2*p/a^2/x^2*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/6*I*b^3*p/a^3*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/3*I*b^3*p/a^3*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/12*I*b*p/a/x^4*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/12*I*b*p/a/x^4*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/6*I*b^3*p/a^3*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/6*b^2*p^2/a^2/x^2+1/6*I*b^3*p/a^3*ln(b*x^2+a)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/6*I/x^6*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/3*I*b^3*p/a^3*ln(x)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/24*(-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+2*ln(c))^2/x^6-1/6*I/x^6*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/6/x^6*ln((b*x^2+a)^p)^2-1/6*I*b^2*p/a^2/x^2*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/12*I*b*p/a/x^4*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/6*I/x^6*ln((b*x^2+a)^p)*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/6*b*p/a/x^4*ln(c)+1/3*b^2*p/a^2/x^2*ln(c)-1/3*b^3*p/a^3*ln(b*x^2+a)*ln(c)+2/3*b^3*p/a^3*ln(x)*ln(c)+1/6*I*b^3*p/a^3*ln(b*x^2+a)*Pi*csgn(I*c*(b*x^2+a)^p)^3-1/3*I*b^3*p/a^3*ln(x)*Pi*csgn(I*c*(b*x^2+a)^p)^3-2/3*b^3*p^2/a^3*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-2/3*b^3*p^2/a^3*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/6*b*p*ln((b*x^2+a)^p)/a/x^4+2/3*b^3*p*ln((b*x^2+a)^p)/a^3*ln(x)+1/3*b^2*p*ln((b*x^2+a)^p)/a^2/x^2+1/6*I/x^6*ln((b*x^2+a)^p)*Pi*csgn(I*c*(b*x^2+a)^p)^3-1/3*b^3*p*ln((b*x^2+a)^p)/a^3*ln(b*x^2+a)+1/12*I*b*p/a/x^4*Pi*csgn(I*c*(b*x^2+a)^p)^3-1/6*I*b^2*p/a^2/x^2*Pi*csgn(I*c*(b*x^2+a)^p)^3","C"
84,0,0,260,0.439000," ","int(x^4*ln(c*(b*x^2+a)^p)^2,x)","\int x^{4} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}\, dx"," ",0,"int(x^4*ln(c*(b*x^2+a)^p)^2,x)","F"
85,0,0,222,0.957000," ","int(x^2*ln(c*(b*x^2+a)^p)^2,x)","\int x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}\, dx"," ",0,"int(x^2*ln(c*(b*x^2+a)^p)^2,x)","F"
86,0,0,185,0.723000," ","int(ln(c*(b*x^2+a)^p)^2,x)","\int \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2,x)","F"
87,0,0,146,0.864000," ","int(ln(c*(b*x^2+a)^p)^2/x^2,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{x^{2}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2/x^2,x)","F"
88,0,0,188,0.888000," ","int(ln(c*(b*x^2+a)^p)^2/x^4,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{x^{4}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2/x^4,x)","F"
89,0,0,226,0.968000," ","int(ln(c*(b*x^2+a)^p)^2/x^6,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{x^{6}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2/x^6,x)","F"
90,0,0,264,0.922000," ","int(ln(c*(b*x^2+a)^p)^2/x^8,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{x^{8}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^2/x^8,x)","F"
91,1,5905,314,1.132000," ","int(x^5*ln(c*(b*x^2+a)^p)^3,x)","\text{output too large to display}"," ",0,"result too large to display","C"
92,1,4942,199,1.064000," ","int(x^3*ln(c*(b*x^2+a)^p)^3,x)","\text{output too large to display}"," ",0,"-3/16*x^4*p^3-3/8*ln(c)^2*p*x^4+3/8*ln(c)*p^2*x^4+21/8*a*p^3*x^2/b+3/8*(-I*Pi*b^2*x^4*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*b^2*x^4*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^3-b^2*p*x^4+2*b^2*x^4*ln(c)+2*a*b*p*x^2-2*a^2*p*ln(b*x^2+a))/b^2*ln((b*x^2+a)^p)^2-3/16*ln(c)*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^6+3/32*Pi^2*p*x^4*csgn(I*c*(b*x^2+a)^p)^6+1/32*I*Pi^3*x^4*csgn(I*c*(b*x^2+a)^p)^9-21/8*a^2*p^3/b^2*ln(b*x^2+a)-3/16/b*Pi^2*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^6+3/16/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^6-3/16*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+3/16*(4*ln(c)^2*b^2*x^4+4*a^2*p^2*ln(b*x^2+a)^2+12*ln(b*x^2+a)*a^2*p^2-12*x^2*b*a*p^2+2*x^4*b^2*p^2-8*ln(c)*ln(b*x^2+a)*a^2*p-4*ln(c)*b^2*p*x^4-Pi^2*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^6-Pi^2*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2-4*I*ln(c)*Pi*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-4*I*Pi*a*b*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+4*I*ln(c)*Pi*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+4*I*ln(c)*Pi*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-4*I*Pi*a*b*p*x^2*csgn(I*c*(b*x^2+a)^p)^3+2*Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+8*ln(c)*a*b*p*x^2-4*I*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-2*I*Pi*b^2*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-2*I*Pi*b^2*p*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*I*Pi*b^2*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+4*I*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+4*I*Pi*a*b*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+4*I*Pi*a*b*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+2*Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+2*Pi^2*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-4*Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+2*Pi^2*b^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+2*I*Pi*b^2*p*x^4*csgn(I*c*(b*x^2+a)^p)^3-4*I*ln(c)*Pi*b^2*x^4*csgn(I*c*(b*x^2+a)^p)^3+4*I*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^3-4*I*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2)/b^2*ln((b*x^2+a)^p)-1/4/b^2*a^2*p^3*ln(b*x^2+a)^3-9/8/b^2*a^2*p^3*ln(b*x^2+a)^2-3/16*ln(c)*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+3/8*ln(c)*Pi^2*x^4*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-3/16*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+3/8*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+3/32*Pi^2*p*x^4*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2-3/16*Pi^2*p*x^4*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)+3/32*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4-3/16*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+3/4/b*ln(c)^2*a*p*x^2+3/4/b^2*ln(c)*a^2*p^2*ln(b*x^2+a)^2-9/4/b*ln(c)*a*p^2*x^2-3/4/b^2*ln(c)^2*ln(b*x^2+a)*a^2*p+9/4/b^2*ln(c)*ln(b*x^2+a)*a^2*p^2-1/32*I*Pi^3*x^4*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)^3+3/32*I*Pi^3*x^4*csgn(I*c*(b*x^2+a)^p)^7*csgn(I*c)^2-3/32*I*Pi^3*x^4*csgn(I*c*(b*x^2+a)^p)^8*csgn(I*c)-1/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^6+3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^7-3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^8-3/8*I*ln(c)^2*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^3-3/16*I*Pi*p^2*x^4*csgn(I*c*(b*x^2+a)^p)^3-3/16/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+3/8/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+3/8/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-3/4/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/16/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2-3/8/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2-3/8/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)+3/4/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/8*I*ln(c)*Pi*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/4*I/b*ln(c)*Pi*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^3+3/8*I/b^2*Pi*a^2*p^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*ln(b*x^2+a)^2+3/8*I/b^2*Pi*a^2*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*ln(b*x^2+a)^2-9/8*I/b*Pi*a*p^2*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-9/8*I/b*Pi*a*p^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/4*I/b^2*ln(c)*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^3+9/8*I/b^2*Pi*ln(b*x^2+a)*a^2*p^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+9/8*I/b^2*Pi*ln(b*x^2+a)*a^2*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/4*x^4*ln((b*x^2+a)^p)^3+3/8*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+3/8*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-3/4*ln(c)*Pi^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/32*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2-3/16*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2-3/16*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)+3/8*Pi^2*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+1/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^3-3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^3+3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)^3-3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+9/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)^2-9/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)^2+3/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-9/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)+9/32*I*Pi^3*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^7*csgn(I*c)+3/8*I*ln(c)^2*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/8*I*ln(c)^2*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/8*I*ln(c)*Pi*p*x^4*csgn(I*c*(b*x^2+a)^p)^3+3/16*I*Pi*p^2*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/16*I*Pi*p^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/4*I/b*ln(c)*Pi*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/4*I/b*ln(c)*Pi*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3/8*I/b^2*Pi*a^2*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*ln(b*x^2+a)^2+9/8*I/b*Pi*a*p^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/4*I/b^2*ln(c)*Pi*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-3/4*I/b^2*ln(c)*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-9/8*I/b^2*Pi*ln(b*x^2+a)*a^2*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/8*I*ln(c)^2*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/8*I*ln(c)*Pi*p*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-3/8*I*ln(c)*Pi*p*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3/16*I*Pi*p^2*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/8*I/b^2*Pi*a^2*p^2*csgn(I*c*(b*x^2+a)^p)^3*ln(b*x^2+a)^2+9/8*I/b*Pi*a*p^2*x^2*csgn(I*c*(b*x^2+a)^p)^3-9/8*I/b^2*Pi*ln(b*x^2+a)*a^2*p^2*csgn(I*c*(b*x^2+a)^p)^3+1/4*ln(c)^3*x^4-3/4*I/b*ln(c)*Pi*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+3/4*I/b^2*ln(c)*Pi*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/16/b*Pi^2*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+3/8/b*Pi^2*a*p*x^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-3/16/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+3/8/b*Pi^2*a*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+3/16/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2-3/8/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)+3/16/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4-3/8/b^2*Pi^2*ln(b*x^2+a)*a^2*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5","C"
93,1,3925,89,1.032000," ","int(x*ln(c*(b*x^2+a)^p)^3,x)","\text{output too large to display}"," ",0,"-3/8/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+3/4/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-3/8/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+3/4/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+3/4*I/b*Pi*a*p^2*csgn(I*c*(b*x^2+a)^p)^3*ln(b*x^2+a)^2+3/2*I/b*Pi*ln(b*x^2+a)*a*p^2*csgn(I*c*(b*x^2+a)^p)^3-3/4*I*ln(c)^2*Pi*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/2*I*ln(c)*Pi*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-3/2*I*ln(c)*Pi*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3/2*I*Pi*p^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+3/8*(4*ln(c)^2*b*x^2-4*a*p^2*ln(b*x^2+a)^2-8*ln(b*x^2+a)*a*p^2+8*x^2*b*p^2-8*ln(c)*b*p*x^2+8*ln(c)*ln(b*x^2+a)*a*p-Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2-Pi^2*b*x^2*csgn(I*c*(b*x^2+a)^p)^6+2*Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+2*Pi^2*b*x^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-Pi^2*b*x^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2-4*I*ln(c)*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^3+2*Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+2*Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-4*I*Pi*b*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-4*I*Pi*b*p*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+4*I*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+4*I*Pi*b*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-4*I*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-4*Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+4*I*Pi*b*p*x^2*csgn(I*c*(b*x^2+a)^p)^3-4*I*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^3+4*I*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-4*I*ln(c)*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-Pi^2*b*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+4*I*ln(c)*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+4*I*ln(c)*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c))/b*ln((b*x^2+a)^p)-3/2*ln(c)^2*p*x^2+3*ln(c)*p^2*x^2+3/4*(I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*b*x^2*ln(c)-2*b*p*x^2+2*a*p*ln(b*x^2+a))/b*ln((b*x^2+a)^p)^2+3/16*I*Pi^3*x^2*csgn(I*c*(b*x^2+a)^p)^7*csgn(I*c)^2-3/8*ln(c)*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+3/4*ln(c)*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-3/8*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4+3/4*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5+3/8*Pi^2*p*x^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2-3/4*Pi^2*p*x^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)+3/8*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4-3/4*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5-3/2/b*ln(c)*a*p^2*ln(b*x^2+a)^2+3/2/b*ln(c)^2*ln(b*x^2+a)*a*p-3/b*ln(c)*ln(b*x^2+a)*a*p^2-1/16*I*Pi^3*x^2*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)^3-3/16*I*Pi^3*x^2*csgn(I*c*(b*x^2+a)^p)^8*csgn(I*c)-1/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^6+3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^7-3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^8-3/4*I*ln(c)^2*Pi*x^2*csgn(I*c*(b*x^2+a)^p)^3-3/2*I*Pi*p^2*x^2*csgn(I*c*(b*x^2+a)^p)^3+3*a*p^3/b*ln(b*x^2+a)+1/16*I*Pi^3*x^2*csgn(I*c*(b*x^2+a)^p)^9+1/2/b*a*p^3*ln(b*x^2+a)^3+3/2/b*a*p^3*ln(b*x^2+a)^2-3/8*ln(c)*Pi^2*x^2*csgn(I*c*(b*x^2+a)^p)^6+3/8*Pi^2*p*x^2*csgn(I*c*(b*x^2+a)^p)^6+3/4/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2+3/4/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-3/2/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/2*I*ln(c)*Pi*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/4*I/b*Pi*a*p^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*ln(b*x^2+a)^2-3/4*I/b*Pi*a*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*ln(b*x^2+a)^2-3/2*I/b*ln(c)*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^3-3/2*I/b*Pi*ln(b*x^2+a)*a*p^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-3/2*I/b*Pi*ln(b*x^2+a)*a*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-3/8/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^6-3/8*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+3/4*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2-3*p^3*x^2+3/4*I/b*Pi*a*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*ln(b*x^2+a)^2+3/2*I/b*ln(c)*Pi*ln(b*x^2+a)*a*p*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/2*I/b*ln(c)*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/2*I/b*Pi*ln(b*x^2+a)*a*p^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/8/b*Pi^2*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2+1/2*x^2*ln((b*x^2+a)^p)^3+1/2*ln(c)^3*x^2-3/2*I/b*ln(c)*Pi*ln(b*x^2+a)*a*p*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+3/4*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)-3/2*ln(c)*Pi^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/8*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)^2-3/4*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^2-3/4*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)+3/2*Pi^2*p*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)+3/2*I*Pi*p^2*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/2*I*Pi*p^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^3*csgn(I*c)^3-3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^3+3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)^3-3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^4*csgn(I*c)^2+9/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)^2-9/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)^2+3/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^3*csgn(I*c*(b*x^2+a)^p)^5*csgn(I*c)-9/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)^2*csgn(I*c*(b*x^2+a)^p)^6*csgn(I*c)+9/16*I*Pi^3*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^7*csgn(I*c)+3/4*I*ln(c)^2*Pi*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/4*I*ln(c)^2*Pi*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/2*I*ln(c)*Pi*p*x^2*csgn(I*c*(b*x^2+a)^p)^3","C"
94,0,0,102,0.664000," ","int(ln(c*(b*x^2+a)^p)^3/x,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x,x)","F"
95,0,0,115,1.189000," ","int(ln(c*(b*x^2+a)^p)^3/x^3,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x^{3}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x^3,x)","F"
96,0,0,205,1.505000," ","int(ln(c*(b*x^2+a)^p)^3/x^5,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x^{5}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x^5,x)","F"
97,0,0,338,1.206000," ","int(ln(c*(b*x^2+a)^p)^3/x^7,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x^{7}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x^7,x)","F"
98,0,0,305,47.763000," ","int(x^2*ln(c*(b*x^2+a)^p)^3,x)","\int x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}\, dx"," ",0,"int(x^2*ln(c*(b*x^2+a)^p)^3,x)","F"
99,0,0,237,0.727000," ","int(ln(c*(b*x^2+a)^p)^3,x)","\int \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3,x)","F"
100,0,0,50,7.525000," ","int(ln(c*(b*x^2+a)^p)^3/x^2,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x^{2}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x^2,x)","F"
101,0,0,207,22.774000," ","int(ln(c*(b*x^2+a)^p)^3/x^4,x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{x^{4}}\, dx"," ",0,"int(ln(c*(b*x^2+a)^p)^3/x^4,x)","F"
102,0,0,105,0.517000," ","int(x^3/ln(c*(b*x^2+a)^p),x)","\int \frac{x^{3}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(x^3/ln(c*(b*x^2+a)^p),x)","F"
103,1,272,49,1.259000," ","int(x/ln(c*(b*x^2+a)^p),x)","-\frac{\left(b \,x^{2}+a \right) c^{-\frac{1}{p}} \left(\left(b \,x^{2}+a \right)^{p}\right)^{-\frac{1}{p}} \Ei \left(1, -\ln \left(b \,x^{2}+a \right)-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 p \ln \left(b \,x^{2}+a \right)+2 \ln \left(c \right)+2 \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 p}\right) {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \left(\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 p}}}{2 b p}"," ",0,"-1/2/b/p*(b*x^2+a)*c^(-1/p)*((b*x^2+a)^p)^(-1/p)*exp(1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)*(-csgn(I*c*(b*x^2+a)^p)+csgn(I*c))*(-csgn(I*c*(b*x^2+a)^p)+csgn(I*(b*x^2+a)^p))/p)*Ei(1,-ln(b*x^2+a)-1/2*(I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+2*ln(c)+2*ln((b*x^2+a)^p)-2*p*ln(b*x^2+a))/p)","C"
104,0,0,20,0.501000," ","int(1/x/ln(c*(b*x^2+a)^p),x)","\int \frac{1}{x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(1/x/ln(c*(b*x^2+a)^p),x)","F"
105,0,0,20,0.582000," ","int(1/x^3/ln(c*(b*x^2+a)^p),x)","\int \frac{1}{x^{3} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(1/x^3/ln(c*(b*x^2+a)^p),x)","F"
106,0,0,20,0.514000," ","int(x^2/ln(c*(b*x^2+a)^p),x)","\int \frac{x^{2}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(x^2/ln(c*(b*x^2+a)^p),x)","F"
107,0,0,16,0.477000," ","int(1/ln(c*(b*x^2+a)^p),x)","\int \frac{1}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(1/ln(c*(b*x^2+a)^p),x)","F"
108,0,0,20,0.495000," ","int(1/x^2/ln(c*(b*x^2+a)^p),x)","\int \frac{1}{x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}\, dx"," ",0,"int(1/x^2/ln(c*(b*x^2+a)^p),x)","F"
109,0,0,136,6.551000," ","int(x^3/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{x^{3}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(x^3/ln(c*(b*x^2+a)^p)^2,x)","F"
110,1,421,82,1.223000," ","int(x/ln(c*(b*x^2+a)^p)^2,x)","-\frac{\left(b \,x^{2}+a \right) c^{-\frac{1}{p}} \left(\left(b \,x^{2}+a \right)^{p}\right)^{-\frac{1}{p}} \Ei \left(1, -\ln \left(b \,x^{2}+a \right)-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 p \ln \left(b \,x^{2}+a \right)+2 \ln \left(c \right)+2 \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 p}\right) {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \left(\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 p}}}{2 b \,p^{2}}-\frac{b \,x^{2}+a}{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)+2 \ln \left(\left(b \,x^{2}+a \right)^{p}\right)\right) b p}"," ",0,"-1/(2*ln(c)+2*ln((b*x^2+a)^p)+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2)/p/b*(b*x^2+a)-1/2/p^2/b*(b*x^2+a)*c^(-1/p)*((b*x^2+a)^p)^(-1/p)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*(b*x^2+a)^p))*(csgn(I*(b*x^2+a)^p)-csgn(I*c*(b*x^2+a)^p))/p*csgn(I*c*(b*x^2+a)^p))*Ei(1,-ln(b*x^2+a)-1/2*(-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c*(b*x^2+a)^p)^3-2*p*ln(b*x^2+a)+2*ln(c)+2*ln((b*x^2+a)^p))/p)","C"
111,0,0,20,1.839000," ","int(1/x/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{1}{x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x/ln(c*(b*x^2+a)^p)^2,x)","F"
112,0,0,20,3.763000," ","int(1/x^3/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{1}{x^{3} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x^3/ln(c*(b*x^2+a)^p)^2,x)","F"
113,0,0,20,3.517000," ","int(x^2/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{x^{2}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(x^2/ln(c*(b*x^2+a)^p)^2,x)","F"
114,0,0,16,3.490000," ","int(1/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{1}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/ln(c*(b*x^2+a)^p)^2,x)","F"
115,0,0,20,3.521000," ","int(1/x^2/ln(c*(b*x^2+a)^p)^2,x)","\int \frac{1}{x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x^2/ln(c*(b*x^2+a)^p)^2,x)","F"
116,0,0,198,6.592000," ","int(x^3/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{x^{3}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(x^3/ln(c*(b*x^2+a)^p)^3,x)","F"
117,1,716,114,1.215000," ","int(x/ln(c*(b*x^2+a)^p)^3,x)","-\frac{\left(b \,x^{2}+a \right) c^{-\frac{1}{p}} \left(\left(b \,x^{2}+a \right)^{p}\right)^{-\frac{1}{p}} \Ei \left(1, -\ln \left(b \,x^{2}+a \right)-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 p \ln \left(b \,x^{2}+a \right)+2 \ln \left(c \right)+2 \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 p}\right) {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \left(\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right)-\mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 p}}}{4 b \,p^{3}}-\frac{-i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  b \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  b \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  b \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  a \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  a \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  a \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 b p \,x^{2}+2 b \,x^{2} \ln \left(c \right)+2 b \,x^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)+2 a p +2 a \ln \left(c \right)+2 a \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 \left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}+2 \ln \left(c \right)+2 \ln \left(\left(b \,x^{2}+a \right)^{p}\right)\right)^{2} b \,p^{2}}"," ",0,"-1/2*(I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*b*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*b*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*a*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+2*b*x^2*ln(c)+2*b*x^2*ln((b*x^2+a)^p)+2*a*ln(c)+2*a*ln((b*x^2+a)^p)+2*b*p*x^2+2*a*p)/p^2/(-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c*(b*x^2+a)^p)^3+2*ln(c)+2*ln((b*x^2+a)^p))^2/b-1/4/p^3/b*(b*x^2+a)*((b*x^2+a)^p)^(-1/p)*c^(-1/p)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*(b*x^2+a)^p))*(csgn(I*(b*x^2+a)^p)-csgn(I*c*(b*x^2+a)^p))/p*csgn(I*c*(b*x^2+a)^p))*Ei(1,-ln(b*x^2+a)-1/2*(-I*Pi*csgn(I*c)*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)+I*Pi*csgn(I*c)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*csgn(I*c*(b*x^2+a)^p)^3-2*p*ln(b*x^2+a)+2*ln(c)+2*ln((b*x^2+a)^p))/p)","C"
118,0,0,20,3.736000," ","int(1/x/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{1}{x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(1/x/ln(c*(b*x^2+a)^p)^3,x)","F"
119,0,0,20,3.916000," ","int(1/x^3/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{1}{x^{3} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(1/x^3/ln(c*(b*x^2+a)^p)^3,x)","F"
120,0,0,20,3.651000," ","int(x^2/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{x^{2}}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(x^2/ln(c*(b*x^2+a)^p)^3,x)","F"
121,0,0,16,3.728000," ","int(1/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{1}{\ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(1/ln(c*(b*x^2+a)^p)^3,x)","F"
122,0,0,20,4.751000," ","int(1/x^2/ln(c*(b*x^2+a)^p)^3,x)","\int \frac{1}{x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)^{3}}\, dx"," ",0,"int(1/x^2/ln(c*(b*x^2+a)^p)^3,x)","F"
123,0,0,41,0.060000," ","int(x^3/ln(c*(b*x^2+a)),x)","\int \frac{x^{3}}{\ln \left(\left(b \,x^{2}+a \right) c \right)}\, dx"," ",0,"int(x^3/ln(c*(b*x^2+a)),x)","F"
124,1,23,18,0.050000," ","int(x/ln((b*x^2+a)*c),x)","-\frac{\Ei \left(1, -\ln \left(\left(b \,x^{2}+a \right) c \right)\right)}{2 b c}"," ",0,"-1/2/b/c*Ei(1,-ln((b*x^2+a)*c))","A"
125,0,0,67,0.074000," ","int(x^3/ln((b*x^2+a)*c)^2,x)","\int \frac{x^{3}}{\ln \left(\left(b \,x^{2}+a \right) c \right)^{2}}\, dx"," ",0,"int(x^3/ln((b*x^2+a)*c)^2,x)","F"
126,1,59,46,0.051000," ","int(x/ln((b*x^2+a)*c)^2,x)","-\frac{x^{2}}{2 \ln \left(\left(b \,x^{2}+a \right) c \right)}-\frac{a}{2 b \ln \left(\left(b \,x^{2}+a \right) c \right)}-\frac{\Ei \left(1, -\ln \left(\left(b \,x^{2}+a \right) c \right)\right)}{2 b c}"," ",0,"-1/2/ln((b*x^2+a)*c)*x^2-1/2/b/ln((b*x^2+a)*c)*a-1/2/b/c*Ei(1,-ln((b*x^2+a)*c))","A"
127,0,0,119,0.074000," ","int(x^3/ln((b*x^2+a)*c)^3,x)","\int \frac{x^{3}}{\ln \left(\left(b \,x^{2}+a \right) c \right)^{3}}\, dx"," ",0,"int(x^3/ln((b*x^2+a)*c)^3,x)","F"
128,1,94,73,0.050000," ","int(x/ln((b*x^2+a)*c)^3,x)","-\frac{x^{2}}{4 \ln \left(\left(b \,x^{2}+a \right) c \right)}-\frac{x^{2}}{4 \ln \left(\left(b \,x^{2}+a \right) c \right)^{2}}-\frac{a}{4 b \ln \left(\left(b \,x^{2}+a \right) c \right)}-\frac{\Ei \left(1, -\ln \left(\left(b \,x^{2}+a \right) c \right)\right)}{4 b c}-\frac{a}{4 b \ln \left(\left(b \,x^{2}+a \right) c \right)^{2}}"," ",0,"-1/4/ln((b*x^2+a)*c)^2*x^2-1/4/b/ln((b*x^2+a)*c)^2*a-1/4*x^2/ln((b*x^2+a)*c)-1/4*a/b/ln((b*x^2+a)*c)-1/4/b/c*Ei(1,-ln((b*x^2+a)*c))","A"
129,1,1242,138,0.669000," ","int(x^5*ln(c*(e*x^3+d)^p)^2,x)","-\frac{d \,p^{2} x^{3}}{2 e}-\frac{p \,x^{6} \ln \left(c \right)}{6}+\frac{x^{6} \ln \left(c \right)^{2}}{6}+\frac{d^{2} p^{2} \ln \left(e \,x^{3}+d \right)}{2 e^{2}}+\frac{d^{2} p^{2} \ln \left(e \,x^{3}+d \right)^{2}}{6 e^{2}}+\frac{p^{2} x^{6}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{6}}{24}+\frac{\left(-i \pi  \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  \,e^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  \,e^{2} x^{6} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  \,e^{2} x^{6} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}-e^{2} p \,x^{6}+2 e^{2} x^{6} \ln \left(c \right)+2 d e p \,x^{3}-2 d^{2} p \ln \left(e \,x^{3}+d \right)\right) \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{6 e^{2}}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{5}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{5}}{12}+\frac{i \pi  \,d^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(e \,x^{3}+d \right)}{6 e^{2}}-\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{12}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(c \right)}{6}+\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(c \right)}{6}+\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{12}-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(c \right)}{6}-\frac{i \pi  d p \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{6 e}+\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{12}+\frac{x^{6} \ln \left(\left(e \,x^{3}+d \right)^{p}\right)^{2}}{6}-\frac{i \pi  \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(c \right)}{6}-\frac{i \pi  d p \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{6 e}+\frac{i \pi  \,d^{2} p \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(e \,x^{3}+d \right)}{6 e^{2}}-\frac{i \pi  p \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{24}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{12}+\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{12}-\frac{\pi^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{6}+\frac{i \pi  d p \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{6 e}+\frac{i \pi  d p \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{6 e}-\frac{i \pi  \,d^{2} p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{6 e^{2}}+\frac{d p \,x^{3} \ln \left(c \right)}{3 e}-\frac{d^{2} p \ln \left(c \right) \ln \left(e \,x^{3}+d \right)}{3 e^{2}}-\frac{i \pi  \,d^{2} p \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{6 e^{2}}"," ",0,"-1/2*d*p^2*x^3/e-1/6*p*x^6*ln(c)+1/6*(I*Pi*e^2*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*e^2*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-I*Pi*e^2*x^6*csgn(I*c*(e*x^3+d)^p)^3+I*Pi*e^2*x^6*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+2*ln(c)*e^2*x^6-e^2*p*x^6+2*d*e*p*x^3-2*d^2*p*ln(e*x^3+d))/e^2*ln((e*x^3+d)^p)+1/6*ln(c)^2*x^6+1/2*d^2*p^2/e^2*ln(e*x^3+d)-1/24*Pi^2*x^6*csgn(I*c*(e*x^3+d)^p)^6+1/6/e^2*d^2*p^2*ln(e*x^3+d)^2-1/24*Pi^2*x^6*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^4+1/12*Pi^2*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^5+1/12*p^2*x^6+1/12*Pi^2*x^6*csgn(I*c*(e*x^3+d)^p)^5*csgn(I*c)-1/24*Pi^2*x^6*csgn(I*c*(e*x^3+d)^p)^4*csgn(I*c)^2-1/6*I/e*Pi*d*p*x^3*csgn(I*c*(e*x^3+d)^p)^3+1/6*I/e^2*Pi*ln(e*x^3+d)*d^2*p*csgn(I*c*(e*x^3+d)^p)^3-1/6*I*ln(c)*Pi*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/12*I*Pi*p*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-1/6*I/e*Pi*d*p*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/6*I/e^2*Pi*ln(e*x^3+d)*d^2*p*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/6*x^6*ln((e*x^3+d)^p)^2+1/6*I/e*Pi*d*p*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2+1/6*I/e*Pi*d*p*x^3*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)-1/6*I/e^2*Pi*ln(e*x^3+d)*d^2*p*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-1/6*I/e^2*Pi*ln(e*x^3+d)*d^2*p*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+1/6*I*ln(c)*Pi*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2+1/6*I*ln(c)*Pi*x^6*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)-1/12*I*Pi*p*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-1/12*I*Pi*p*x^6*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+1/12*Pi^2*x^6*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^3*csgn(I*c)-1/24*Pi^2*x^6*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)^2-1/6*Pi^2*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^4*csgn(I*c)+1/12*Pi^2*x^6*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^3*csgn(I*c)^2+1/3/e*ln(c)*d*p*x^3-1/3/e^2*ln(c)*ln(e*x^3+d)*d^2*p-1/6*I*ln(c)*Pi*x^6*csgn(I*c*(e*x^3+d)^p)^3+1/12*I*Pi*p*x^6*csgn(I*c*(e*x^3+d)^p)^3","C"
130,1,1036,60,0.563000," ","int(x^2*ln(c*(e*x^3+d)^p)^2,x)","-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{6}}{12}+\frac{\left(-i \pi  e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  e \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  e \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  e \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}-2 e p \,x^{3}+2 e \,x^{3} \ln \left(c \right)+2 d p \ln \left(e \,x^{3}+d \right)\right) \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 e}-\frac{2 p \,x^{3} \ln \left(c \right)}{3}-\frac{2 d \,p^{2} \ln \left(e \,x^{3}+d \right)}{3 e}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{5}}{6}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{5}}{6}-\frac{d \,p^{2} \ln \left(e \,x^{3}+d \right)^{2}}{3 e}-\frac{i \pi  d p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(e \,x^{3}+d \right)}{3 e}-\frac{i \pi  p \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{3}+\frac{x^{3} \ln \left(c \right)^{2}}{3}+\frac{x^{3} \ln \left(\left(e \,x^{3}+d \right)^{p}\right)^{2}}{3}+\frac{2 d p \ln \left(c \right) \ln \left(e \,x^{3}+d \right)}{3 e}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(c \right)}{3}+\frac{2 p^{2} x^{3}}{3}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(c \right)}{3}-\frac{i \pi  d p \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(e \,x^{3}+d \right)}{3 e}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{12}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{6}+\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{6}-\frac{\pi^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{4}}{3}+\frac{i \pi  p \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{3}-\frac{i \pi  p \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{3}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(c \right)}{3}+\frac{i \pi  p \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{3}+\frac{i \pi  d p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{3 e}+\frac{i \pi  d p \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{3 e}"," ",0,"1/3*(I*Pi*e*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*e*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-I*Pi*e*x^3*csgn(I*c*(e*x^3+d)^p)^3+I*Pi*e*x^3*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+2*ln(c)*e*x^3-2*x^3*p*e+2*d*p*ln(e*x^3+d))/e*ln((e*x^3+d)^p)-2/3*ln(c)*p*x^3-1/12*Pi^2*x^3*csgn(I*c*(e*x^3+d)^p)^6-2/3*d*p^2/e*ln(e*x^3+d)+1/6*Pi^2*x^3*csgn(I*c*(e*x^3+d)^p)^5*csgn(I*c)-1/12*Pi^2*x^3*csgn(I*c*(e*x^3+d)^p)^4*csgn(I*c)^2-1/3/e*d*p^2*ln(e*x^3+d)^2-1/12*Pi^2*x^3*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^4+1/6*Pi^2*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^5-1/3*I/e*Pi*ln(e*x^3+d)*d*p*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/3*ln(c)^2*x^3+1/3*x^3*ln((e*x^3+d)^p)^2+2/3/e*ln(c)*ln(e*x^3+d)*d*p+1/6*Pi^2*x^3*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^3*csgn(I*c)-1/12*Pi^2*x^3*csgn(I*(e*x^3+d)^p)^2*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)^2-1/3*Pi^2*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^4*csgn(I*c)+1/6*Pi^2*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^3*csgn(I*c)^2-1/3*I*ln(c)*Pi*x^3*csgn(I*c*(e*x^3+d)^p)^3+1/3*I*Pi*p*x^3*csgn(I*c*(e*x^3+d)^p)^3+2/3*p^2*x^3+1/3*I*ln(c)*Pi*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2+1/3*I*ln(c)*Pi*x^3*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)-1/3*I*Pi*p*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-1/3*I*Pi*p*x^3*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+1/3*I/e*Pi*ln(e*x^3+d)*d*p*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2+1/3*I/e*Pi*ln(e*x^3+d)*d*p*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)-1/3*I*ln(c)*Pi*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/3*I*Pi*p*x^3*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-1/3*I/e*Pi*ln(e*x^3+d)*d*p*csgn(I*c*(e*x^3+d)^p)^3","C"
131,0,0,71,0.719000," ","int(ln(c*(e*x^3+d)^p)^2/x,x)","\int \frac{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{x}\, dx"," ",0,"int(ln(c*(e*x^3+d)^p)^2/x,x)","F"
132,1,771,80,0.533000," ","int(ln(c*(e*x^3+d)^p)^2/x^4,x)","-\frac{i \pi  e p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{3 d}+\frac{i \pi  e p \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(x \right)}{d}+\frac{i \pi  e p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(e \,x^{3}+d \right)}{3 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 x^{3}}+\frac{i \pi  e p \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(e \,x^{3}+d \right)}{3 d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 x^{3}}-\frac{i \pi  e p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right) \ln \left(x \right)}{d}+\frac{i \pi  e p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(x \right)}{d}+\frac{e \,p^{2} \ln \left(e \,x^{3}+d \right)^{2}}{3 d}-\frac{2 e \,p^{2} \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(\textit{\_Z}^{3} e +d \right)-x}{\RootOf \left(\textit{\_Z}^{3} e +d \right)}\right)+\dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3} e +d \right)-x}{\RootOf \left(\textit{\_Z}^{3} e +d \right)}\right)\right)}{d}+\frac{2 e p \ln \left(c \right) \ln \left(x \right)}{d}-\frac{2 e p \ln \left(c \right) \ln \left(e \,x^{3}+d \right)}{3 d}+\frac{2 e p \ln \left(x \right) \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{d}-\frac{2 e p \ln \left(\left(e \,x^{3}+d \right)^{p}\right) \ln \left(e \,x^{3}+d \right)}{3 d}-\frac{i \pi  e p \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(x \right)}{d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3} \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 x^{3}}-\frac{i \pi  e p \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(e \,x^{3}+d \right)}{3 d}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2} \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 x^{3}}-\frac{2 \ln \left(c \right) \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{3 x^{3}}-\frac{\ln \left(\left(e \,x^{3}+d \right)^{p}\right)^{2}}{3 x^{3}}-\frac{\left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}+2 \ln \left(c \right)\right)^{2}}{12 x^{3}}"," ",0,"-1/3/x^3*ln((e*x^3+d)^p)^2+2*p*e*ln((e*x^3+d)^p)/d*ln(x)-2/3*p*e*ln((e*x^3+d)^p)/d*ln(e*x^3+d)-2*p^2*e/d*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^3*e+d))+1/3*p^2*e/d*ln(e*x^3+d)^2-1/3*I*p*e/d*ln(e*x^3+d)*Pi*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+I*p*e/d*ln(x)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2+1/3*I*p*e/d*ln(e*x^3+d)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+1/3*I/x^3*ln((e*x^3+d)^p)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-2/3/x^3*ln((e*x^3+d)^p)*ln(c)-1/3*I/x^3*ln((e*x^3+d)^p)*Pi*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+1/3*I*p*e/d*ln(e*x^3+d)*Pi*csgn(I*c*(e*x^3+d)^p)^3+I*p*e/d*ln(x)*Pi*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)-I*p*e/d*ln(x)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)+2*p*e/d*ln(x)*ln(c)-I*p*e/d*ln(x)*Pi*csgn(I*c*(e*x^3+d)^p)^3+1/3*I/x^3*ln((e*x^3+d)^p)*Pi*csgn(I*c*(e*x^3+d)^p)^3-1/3*I*p*e/d*ln(e*x^3+d)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-1/3*I/x^3*ln((e*x^3+d)^p)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-2/3*p*e/d*ln(e*x^3+d)*ln(c)-1/12*(I*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-I*Pi*csgn(I*c*(e*x^3+d)^p)^3+I*Pi*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+2*ln(c))^2/x^3","C"
133,0,0,1076,0.563000," ","int(x*ln(c*(e*x^3+d)^p)^2,x)","\int x \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}\, dx"," ",0,"int(x*ln(c*(e*x^3+d)^p)^2,x)","F"
134,0,0,1105,0.908000," ","int(ln(c*(e*x^3+d)^p)^2,x)","\int \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}\, dx"," ",0,"int(ln(c*(e*x^3+d)^p)^2,x)","F"
135,0,0,971,0.918000," ","int(ln(c*(e*x^3+d)^p)^2/x^2,x)","\int \frac{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{x^{2}}\, dx"," ",0,"int(ln(c*(e*x^3+d)^p)^2/x^2,x)","F"
136,0,0,995,0.981000," ","int(ln(c*(e*x^3+d)^p)^2/x^3,x)","\int \frac{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{x^{3}}\, dx"," ",0,"int(ln(c*(e*x^3+d)^p)^2/x^3,x)","F"
137,0,0,1081,1.052000," ","int(ln(c*(e*x^3+d)^p)^2/x^5,x)","\int \frac{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{x^{5}}\, dx"," ",0,"int(ln(c*(e*x^3+d)^p)^2/x^5,x)","F"
138,0,0,162,0.728000," ","int(x^8/ln(c*(e*x^3+d)^p),x)","\int \frac{x^{8}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(x^8/ln(c*(e*x^3+d)^p),x)","F"
139,0,0,105,0.625000," ","int(x^5/ln(c*(e*x^3+d)^p),x)","\int \frac{x^{5}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(x^5/ln(c*(e*x^3+d)^p),x)","F"
140,1,272,49,1.275000," ","int(x^2/ln(c*(e*x^3+d)^p),x)","-\frac{\left(e \,x^{3}+d \right) c^{-\frac{1}{p}} \left(\left(e \,x^{3}+d \right)^{p}\right)^{-\frac{1}{p}} \Ei \left(1, -\ln \left(e \,x^{3}+d \right)-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}-2 p \ln \left(e \,x^{3}+d \right)+2 \ln \left(c \right)+2 \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{2 p}\right) {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)\right) \left(\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)-\mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{2 p}}}{3 e p}"," ",0,"-1/3/e/p*(e*x^3+d)*c^(-1/p)*((e*x^3+d)^p)^(-1/p)*exp(1/2*I*Pi*csgn(I*c*(e*x^3+d)^p)*(-csgn(I*c*(e*x^3+d)^p)+csgn(I*c))*(-csgn(I*c*(e*x^3+d)^p)+csgn(I*(e*x^3+d)^p))/p)*Ei(1,-ln(e*x^3+d)-1/2*(I*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*csgn(I*c)*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)-I*Pi*csgn(I*c*(e*x^3+d)^p)^3+I*Pi*csgn(I*c)*csgn(I*c*(e*x^3+d)^p)^2+2*ln(c)+2*ln((e*x^3+d)^p)-2*p*ln(e*x^3+d))/p)","C"
141,0,0,20,0.542000," ","int(1/x/ln(c*(e*x^3+d)^p),x)","\int \frac{1}{x \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(1/x/ln(c*(e*x^3+d)^p),x)","F"
142,0,0,20,0.634000," ","int(1/x^4/ln(c*(e*x^3+d)^p),x)","\int \frac{1}{x^{4} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(1/x^4/ln(c*(e*x^3+d)^p),x)","F"
143,0,0,20,0.546000," ","int(x^3/ln(c*(e*x^3+d)^p),x)","\int \frac{x^{3}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(x^3/ln(c*(e*x^3+d)^p),x)","F"
144,0,0,18,0.548000," ","int(x/ln(c*(e*x^3+d)^p),x)","\int \frac{x}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(x/ln(c*(e*x^3+d)^p),x)","F"
145,0,0,16,0.475000," ","int(1/ln(c*(e*x^3+d)^p),x)","\int \frac{1}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(1/ln(c*(e*x^3+d)^p),x)","F"
146,0,0,20,0.529000," ","int(1/x^2/ln(c*(e*x^3+d)^p),x)","\int \frac{1}{x^{2} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(1/x^2/ln(c*(e*x^3+d)^p),x)","F"
147,0,0,20,0.549000," ","int(1/x^3/ln(c*(e*x^3+d)^p),x)","\int \frac{1}{x^{3} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)}\, dx"," ",0,"int(1/x^3/ln(c*(e*x^3+d)^p),x)","F"
148,0,0,193,3.984000," ","int(x^8/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{x^{8}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(x^8/ln(c*(e*x^3+d)^p)^2,x)","F"
149,0,0,137,7.069000," ","int(x^5/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{x^{5}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(x^5/ln(c*(e*x^3+d)^p)^2,x)","F"
150,1,421,82,1.333000," ","int(x^2/ln(c*(e*x^3+d)^p)^2,x)","-\frac{\left(e \,x^{3}+d \right) c^{-\frac{1}{p}} \left(\left(e \,x^{3}+d \right)^{p}\right)^{-\frac{1}{p}} \Ei \left(1, -\ln \left(e \,x^{3}+d \right)-\frac{-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}-2 p \ln \left(e \,x^{3}+d \right)+2 \ln \left(c \right)+2 \ln \left(\left(e \,x^{3}+d \right)^{p}\right)}{2 p}\right) {\mathrm e}^{\frac{i \pi  \left(\mathrm{csgn}\left(i c \right)-\mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)\right) \left(\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right)-\mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{2 p}}}{3 e \,p^{2}}-\frac{2 \left(e \,x^{3}+d \right)}{3 \left(-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}+i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}-i \pi  \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}+2 \ln \left(c \right)+2 \ln \left(\left(e \,x^{3}+d \right)^{p}\right)\right) e p}"," ",0,"-2/3/(2*ln(c)+2*ln((e*x^3+d)^p)+I*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*csgn(I*c)*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)-I*Pi*csgn(I*c*(e*x^3+d)^p)^3+I*Pi*csgn(I*c)*csgn(I*c*(e*x^3+d)^p)^2)/p/e*(e*x^3+d)-1/3/p^2/e*(e*x^3+d)*((e*x^3+d)^p)^(-1/p)*c^(-1/p)*exp(1/2*I*Pi*(csgn(I*c)-csgn(I*c*(e*x^3+d)^p))*(csgn(I*(e*x^3+d)^p)-csgn(I*c*(e*x^3+d)^p))/p*csgn(I*c*(e*x^3+d)^p))*Ei(1,-ln(e*x^3+d)-1/2*(-I*Pi*csgn(I*c)*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)+I*Pi*csgn(I*c)*csgn(I*c*(e*x^3+d)^p)^2+I*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-I*Pi*csgn(I*c*(e*x^3+d)^p)^3-2*p*ln(e*x^3+d)+2*ln(c)+2*ln((e*x^3+d)^p))/p)","C"
151,0,0,20,2.055000," ","int(1/x/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{1}{x \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x/ln(c*(e*x^3+d)^p)^2,x)","F"
152,0,0,20,4.339000," ","int(1/x^4/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{1}{x^{4} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x^4/ln(c*(e*x^3+d)^p)^2,x)","F"
153,0,0,20,3.768000," ","int(x^3/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{x^{3}}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(x^3/ln(c*(e*x^3+d)^p)^2,x)","F"
154,0,0,18,4.053000," ","int(x/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{x}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(x/ln(c*(e*x^3+d)^p)^2,x)","F"
155,0,0,16,3.952000," ","int(1/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{1}{\ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/ln(c*(e*x^3+d)^p)^2,x)","F"
156,0,0,20,4.245000," ","int(1/x^2/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{1}{x^{2} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x^2/ln(c*(e*x^3+d)^p)^2,x)","F"
157,0,0,20,4.252000," ","int(1/x^3/ln(c*(e*x^3+d)^p)^2,x)","\int \frac{1}{x^{3} \ln \left(c \left(e \,x^{3}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/x^3/ln(c*(e*x^3+d)^p)^2,x)","F"
158,0,0,76,0.874000," ","int((f*x)^m*ln(c*(e*x^2+d)^p)^3,x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}\, dx"," ",0,"int((f*x)^m*ln(c*(e*x^2+d)^p)^3,x)","F"
159,0,0,74,1.267000," ","int((f*x)^m*ln(c*(e*x^2+d)^p)^2,x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^m*ln(c*(e*x^2+d)^p)^2,x)","F"
160,0,0,79,0.047000," ","int((f*x)^m*ln(c*(e*x^2+d)^p),x)","\int \left(f x \right)^{m} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)\, dx"," ",0,"int((f*x)^m*ln(c*(e*x^2+d)^p),x)","F"
161,0,0,22,3.060000," ","int((f*x)^m/ln(c*(e*x^2+d)^p),x)","\int \frac{\left(f x \right)^{m}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int((f*x)^m/ln(c*(e*x^2+d)^p),x)","F"
162,0,0,22,6.747000," ","int((f*x)^m/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{\left(f x \right)^{m}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int((f*x)^m/ln(c*(e*x^2+d)^p)^2,x)","F"
163,0,0,360,1.816000," ","int((f*x)^(3*n-1)*ln(c*(e*x^n+d)^p)^2,x)","\int \left(f x \right)^{3 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^(3*n-1)*ln(c*(e*x^n+d)^p)^2,x)","F"
164,0,0,249,1.721000," ","int((f*x)^(2*n-1)*ln(c*(e*x^n+d)^p)^2,x)","\int \left(f x \right)^{2 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^(2*n-1)*ln(c*(e*x^n+d)^p)^2,x)","F"
165,0,0,101,1.638000," ","int((f*x)^(n-1)*ln(c*(e*x^n+d)^p)^2,x)","\int \left(f x \right)^{n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^(n-1)*ln(c*(e*x^n+d)^p)^2,x)","F"
166,1,1473,88,3.518000," ","int(ln(c*(e*x^n+d)^p)^2/f/x,x)","\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(e \,x^{n}\right)}{f n}+\frac{\ln \left(c \right)^{2} \ln \left(x \right)}{f}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(c \right) \ln \left(x \right)}{f}-\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{f n}-\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}+\frac{i \pi  p \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}+\frac{i \pi  p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}+\frac{p^{2} \ln \left(e \,x^{n}\right) \ln \left(e \,x^{n}+d \right)^{2}}{f n}+\frac{p^{2} \ln \left(-\frac{e \,x^{n}+d}{d}+1\right) \ln \left(e \,x^{n}+d \right)^{2}}{f n}-\frac{2 p^{2} \ln \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)^{2}}{f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(c \right) \ln \left(x \right)}{f}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(c \right) \ln \left(x \right)}{f}+\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{\pi^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{6} \ln \left(x \right)}{4 f}-\frac{2 p^{2} \polylog \left(3, \frac{e \,x^{n}+d}{d}\right)}{f n}-\frac{i \pi  p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}-\frac{i \pi  p \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}+\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)}{4 f}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{5} \ln \left(x \right)}{2 f}-\frac{\pi^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)}{4 f}+\frac{\pi^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{5} \ln \left(x \right)}{2 f}-\frac{2 p \ln \left(c \right) \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}-\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{4 f}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f}+\frac{2 \ln \left(c \right) \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}+\frac{2 p \ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)}{f n}-\frac{2 p \ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(e \,x^{n}\right) \ln \left(e \,x^{n}+d \right)}{f n}+\frac{2 p^{2} \polylog \left(2, \frac{e \,x^{n}+d}{d}\right) \ln \left(e \,x^{n}+d \right)}{f n}-\frac{2 p^{2} \dilog \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)}{f n}+\frac{2 p \dilog \left(-\frac{e \,x^{n}}{d}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{2 p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \ln \left(c \right)}{f n}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f}-\frac{\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)}{f}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(c \right) \ln \left(x \right)}{f}"," ",0,"-I/f/n*ln((e*x^n+d)^p)*Pi*ln(x^n)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-I/f/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+1/f/n*ln((e*x^n+d)^p)^2*ln(e*x^n)-2/f/n*polylog(3,(e*x^n+d)/d)*p^2-1/4/f*ln(x)*Pi^2*csgn(I*c*(e*x^n+d)^p)^6+1/f*ln(x)*ln(c)^2+I/f/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-I/f/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-I/f/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+I/f/n*ln((e*x^n+d)^p)*Pi*ln(x^n)*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+I/f/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*c*(e*x^n+d)^p)^3-I/f*ln(x)*ln(c)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)+I/f/n*ln((e*x^n+d)^p)*Pi*ln(x^n)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2+1/2/f*ln(x)*Pi^2*csgn(I*c*(e*x^n+d)^p)^5*csgn(I*c)+I/f/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-I/f/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2+2/f/n*polylog(2,(e*x^n+d)/d)*ln(e*x^n+d)*p^2-2/f/n*ln(e*x^n+d)*dilog(-1/d*e*x^n)*p^2+2/f/n*ln((e*x^n+d)^p)*dilog(-1/d*e*x^n)*p+1/f/n*ln(e*x^n+d)^2*ln(e*x^n)*p^2+1/f/n*ln(1-(e*x^n+d)/d)*ln(e*x^n+d)^2*p^2-2/f/n*ln(e*x^n+d)^2*ln(-1/d*e*x^n)*p^2-2/f/n*ln(c)*dilog((e*x^n+d)/d)*p+I/f*ln(x)*ln(c)*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+I/f/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*c*(e*x^n+d)^p)^3+I/f*ln(x)*ln(c)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-I/f/n*ln((e*x^n+d)^p)*Pi*ln(x^n)*csgn(I*c*(e*x^n+d)^p)^3-2/f/n*ln(c)*ln((e*x^n+d)/d)*ln(x^n)*p-1/4/f*ln(x)*Pi^2*csgn(I*c*(e*x^n+d)^p)^4*csgn(I*c)^2-1/4/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^4+1/2/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^5+2/f/n*ln((e*x^n+d)^p)*ln(c)*ln(x^n)+2/f/n*ln((e*x^n+d)^p)*ln(e*x^n+d)*ln(-1/d*e*x^n)*p-2/f/n*ln((e*x^n+d)^p)*ln(e*x^n+d)*ln(e*x^n)*p-1/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^4*csgn(I*c)-1/4/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)^2+1/2/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^3*csgn(I*c)+1/2/f*ln(x)*Pi^2*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^3*csgn(I*c)^2-I/f*ln(x)*ln(c)*Pi*csgn(I*c*(e*x^n+d)^p)^3","C"
167,0,0,124,1.812000," ","int((f*x)^(-n-1)*ln(c*(e*x^n+d)^p)^2,x)","\int \left(f x \right)^{-n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^(-n-1)*ln(c*(e*x^n+d)^p)^2,x)","F"
168,0,0,198,1.683000," ","int((f*x)^(-2*n-1)*ln(c*(e*x^n+d)^p)^2,x)","\int \left(f x \right)^{-2 n -1} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((f*x)^(-2*n-1)*ln(c*(e*x^n+d)^p)^2,x)","F"
169,1,14,13,0.065000," ","int(ln(1+e*x^n)/x,x)","-\frac{\dilog \left(e \,x^{n}+1\right)}{n}"," ",0,"-1/n*dilog(1+e*x^n)","A"
170,1,56,19,0.065000," ","int(ln(2+e*x^n)/x,x)","\frac{\ln \left(-\frac{e \,x^{n}}{2}\right) \ln \left(e \,x^{n}+2\right)}{n}-\frac{\ln \left(-\frac{e \,x^{n}}{2}\right) \ln \left(\frac{e \,x^{n}}{2}+1\right)}{n}-\frac{\dilog \left(\frac{e \,x^{n}}{2}+1\right)}{n}"," ",0,"-1/n*ln(-1/2*e*x^n)*ln(1/2*e*x^n+1)+1/n*ln(-1/2*e*x^n)*ln(2+e*x^n)-1/n*dilog(1/2*e*x^n+1)","B"
171,1,57,19,0.068000," ","int(ln(6+2*e*x^n)/x,x)","\frac{\ln \left(-\frac{e \,x^{n}}{3}\right) \ln \left(2 e \,x^{n}+6\right)}{n}-\frac{\ln \left(-\frac{e \,x^{n}}{3}\right) \ln \left(\frac{e \,x^{n}}{3}+1\right)}{n}-\frac{\dilog \left(\frac{e \,x^{n}}{3}+1\right)}{n}"," ",0,"-1/n*ln(-1/3*e*x^n)*ln(1/3*e*x^n+1)+1/n*ln(-1/3*e*x^n)*ln(6+2*e*x^n)-1/n*dilog(1/3*e*x^n+1)","B"
172,1,41,41,0.137000," ","int(ln(c*(e*x^n+d))/x,x)","\frac{\ln \left(-\frac{e \,x^{n}}{d}\right) \ln \left(c e \,x^{n}+c d \right)}{n}+\frac{\dilog \left(-\frac{e \,x^{n}}{d}\right)}{n}"," ",0,"1/n*ln(c*e*x^n+c*d)*ln(-1/d*e*x^n)+1/n*dilog(-1/d*e*x^n)","A"
173,1,177,44,0.077000," ","int(ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\ln \left(c \right) \ln \left(x \right)+\ln \left(x \right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}"," ",0,"ln(x)*ln((e*x^n+d)^p)+1/2*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)-1/2*I*Pi*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x)-1/2*I*Pi*csgn(I*c*(e*x^n+d)^p)^3*ln(x)+1/2*I*Pi*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)+ln(c)*ln(x)-p/n*dilog((e*x^n+d)/d)-p*ln(x)*ln((e*x^n+d)/d)","C"
174,1,1356,79,3.154000," ","int(ln(c*(e*x^n+d)^p)^2/x,x)","\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(e \,x^{n}\right)}{n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}+\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{n}-\frac{i \pi  p \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{i \pi  p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{5} \ln \left(x \right)}{2}-\frac{\pi^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)}{4}+\frac{\pi^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{5} \ln \left(x \right)}{2}+\frac{i \pi  p \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{2 p^{2} \polylog \left(3, \frac{e \,x^{n}+d}{d}\right)}{n}-\frac{\pi^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{6} \ln \left(x \right)}{4}+\frac{2 \ln \left(c \right) \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}-\frac{2 p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \ln \left(c \right)}{n}+\frac{2 p^{2} \polylog \left(2, \frac{e \,x^{n}+d}{d}\right) \ln \left(e \,x^{n}+d \right)}{n}-\frac{2 p^{2} \dilog \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)}{n}+\frac{2 p \dilog \left(-\frac{e \,x^{n}}{d}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}+\frac{p^{2} \ln \left(e \,x^{n}\right) \ln \left(e \,x^{n}+d \right)^{2}}{n}+\frac{p^{2} \ln \left(-\frac{e \,x^{n}+d}{d}+1\right) \ln \left(e \,x^{n}+d \right)^{2}}{n}-\frac{2 p^{2} \ln \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)^{2}}{n}+\ln \left(c \right)^{2} \ln \left(x \right)+\frac{2 p \ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(-\frac{e \,x^{n}}{d}\right) \ln \left(e \,x^{n}+d \right)}{n}-\frac{2 p \ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(e \,x^{n}\right) \ln \left(e \,x^{n}+d \right)}{n}-\frac{2 p \ln \left(c \right) \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{n}-i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(c \right) \ln \left(x \right)-\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{4}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right)^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}+\frac{\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right)^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-\pi^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{4} \ln \left(x \right)-\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}-\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}+\frac{i \pi  p \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{n}-i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(c \right) \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(c \right) \ln \left(x \right)+i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(c \right) \ln \left(x \right)+\frac{i \pi  p \dilog \left(\frac{e \,x^{n}+d}{d}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{n}"," ",0,"1/n*ln((e*x^n+d)^p)^2*ln(e*x^n)-2/n*polylog(3,(e*x^n+d)/d)*p^2-1/4*Pi^2*ln(x)*csgn(I*c*(e*x^n+d)^p)^6-I/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)-I/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2+I/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-I/n*Pi*ln((e*x^n+d)^p)*ln(x^n)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)+2/n*ln(c)*ln((e*x^n+d)^p)*ln(x^n)-2/n*ln(c)*dilog((e*x^n+d)/d)*p+2/n*polylog(2,(e*x^n+d)/d)*ln(e*x^n+d)*p^2-2/n*ln(e*x^n+d)*dilog(-1/d*e*x^n)*p^2+2/n*ln((e*x^n+d)^p)*dilog(-1/d*e*x^n)*p+I/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)+1/2*Pi^2*ln(x)*csgn(I*c*(e*x^n+d)^p)^5*csgn(I*c)-1/4*Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^4+I/n*Pi*ln((e*x^n+d)/d)*ln(x^n)*p*csgn(I*c*(e*x^n+d)^p)^3-I/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)-1/4*Pi^2*ln(x)*csgn(I*c*(e*x^n+d)^p)^4*csgn(I*c)^2+1/2*Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^5+1/n*ln(e*x^n+d)^2*ln(e*x^n)*p^2+1/n*ln(-(e*x^n+d)/d+1)*ln(e*x^n+d)^2*p^2-2/n*ln(e*x^n+d)^2*ln(-1/d*e*x^n)*p^2-I*ln(c)*Pi*ln(x)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)+ln(c)^2*ln(x)+I/n*Pi*ln((e*x^n+d)^p)*ln(x^n)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2+I/n*Pi*ln((e*x^n+d)^p)*ln(x^n)*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+2/n*ln((e*x^n+d)^p)*ln(e*x^n+d)*ln(-1/d*e*x^n)*p-2/n*ln((e*x^n+d)^p)*ln(e*x^n+d)*ln(e*x^n)*p-2/n*ln(c)*ln((e*x^n+d)/d)*ln(x^n)*p+1/2*Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^3*csgn(I*c)-1/4*Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)^2*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)^2-Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^4*csgn(I*c)+1/2*Pi^2*ln(x)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^3*csgn(I*c)^2-I*ln(c)*Pi*ln(x)*csgn(I*c*(e*x^n+d)^p)^3+I/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*c*(e*x^n+d)^p)^3+I*ln(c)*Pi*ln(x)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-I/n*Pi*ln((e*x^n+d)^p)*ln(x^n)*csgn(I*c*(e*x^n+d)^p)^3-I/n*Pi*dilog((e*x^n+d)/d)*p*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2+I*ln(c)*Pi*ln(x)*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)","C"
175,1,6131,113,3.939000," ","int(ln(c*(e*x^n+d)^p)^3/x,x)","\text{output too large to display}"," ",0,"result too large to display","C"
176,1,766,128,0.537000," ","int((e*x+d)^3*ln(c*(b*x+a)^p),x)","d \,e^{2} x^{3} \ln \left(c \right)+\frac{3 d^{2} e \,x^{2} \ln \left(c \right)}{2}-\frac{d^{4} p \ln \left(b x +a \right)}{4 e}+\frac{e^{3} x^{4} \ln \left(c \right)}{4}+d^{3} x \ln \left(c \right)+\frac{\left(e x +d \right)^{4} \ln \left(\left(b x +a \right)^{p}\right)}{4 e}-\frac{e^{3} p \,x^{4}}{16}-\frac{3 d^{2} e p \,x^{2}}{4}+\frac{a \,e^{3} p \,x^{3}}{12 b}-\frac{a^{2} e^{3} p \,x^{2}}{8 b^{2}}+\frac{a^{3} e^{3} p x}{4 b^{3}}-d^{3} p x -\frac{a^{4} e^{3} p \ln \left(b x +a \right)}{4 b^{4}}+\frac{a \,d^{3} p \ln \left(b x +a \right)}{b}-\frac{d \,e^{2} p \,x^{3}}{3}+\frac{a^{3} d \,e^{2} p \ln \left(b x +a \right)}{b^{3}}-\frac{3 a^{2} d^{2} e p \ln \left(b x +a \right)}{2 b^{2}}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{8}-\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2}-\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{4}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}-\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2}-\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{4}+\frac{a d \,e^{2} p \,x^{2}}{2 b}-\frac{a^{2} d \,e^{2} p x}{b^{2}}+\frac{3 a \,d^{2} e p x}{2 b}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{8}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,d^{3} x \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2}"," ",0,"e^2*ln(c)*d*x^3+3/2*e*ln(c)*d^2*x^2-1/4/e*ln(b*x+a)*d^4*p+1/4*e^3*ln(c)*x^4+ln(c)*d^3*x+1/4*(e*x+d)^4/e*ln((b*x+a)^p)-1/16*e^3*p*x^4-1/2*I*Pi*d^3*x*csgn(I*c*(b*x+a)^p)^3-3/4*d^2*e*p*x^2+1/12/b*e^3*a*p*x^3-1/8/b^2*e^3*a^2*p*x^2+1/4/b^3*e^3*a^3*p*x-d^3*p*x-1/4/b^4*e^3*ln(b*x+a)*a^4*p+1/b*ln(b*x+a)*a*d^3*p-1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x+a)^p)^3-1/3*d*e^2*p*x^3+1/b^3*e^2*ln(b*x+a)*a^3*d*p-3/2/b^2*e*ln(b*x+a)*a^2*d^2*p-1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+1/2/b*e^2*a*d*p*x^2-1/b^2*e^2*a^2*d*p*x+3/2/b*e*a*d^2*p*x+1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-1/8*I*e^3*Pi*x^4*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-1/2*I*Pi*d^3*x*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+1/2*I*Pi*d^3*x*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+1/2*I*Pi*d^3*x*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+1/8*I*e^3*Pi*x^4*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x+a)^p)^3-3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x+a)^p)^3","C"
177,1,537,102,0.450000," ","int((e*x+d)^2*ln(c*(b*x+a)^p),x)","d e \,x^{2} \ln \left(c \right)-\frac{d^{3} p \ln \left(b x +a \right)}{3 e}+\frac{e^{2} x^{3} \ln \left(c \right)}{3}+d^{2} x \ln \left(c \right)-\frac{e^{2} p \,x^{3}}{9}-d^{2} p x +\frac{\left(e x +d \right)^{3} \ln \left(\left(b x +a \right)^{p}\right)}{3 e}-\frac{d e p \,x^{2}}{2}+\frac{a d e p x}{b}-\frac{a^{2} d e p \ln \left(b x +a \right)}{b^{2}}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{6}+\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}+\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{6}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{6}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{6}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2}+\frac{a^{3} e^{2} p \ln \left(b x +a \right)}{3 b^{3}}+\frac{a \,d^{2} p \ln \left(b x +a \right)}{b}-\frac{a^{2} e^{2} p x}{3 b^{2}}+\frac{a \,e^{2} p \,x^{2}}{6 b}"," ",0,"e*ln(c)*d*x^2-1/3/e*ln(b*x+a)*d^3*p+1/3*e^2*ln(c)*x^3+ln(c)*d^2*x-1/9*e^2*p*x^3-d^2*p*x+1/3*(e*x+d)^3/e*ln((b*x+a)^p)-1/2*d*e*p*x^2+1/b*e*a*d*p*x-1/b^2*e*ln(b*x+a)*a^2*d*p+1/6*I*e^2*Pi*x^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x+a)^p)^3+1/2*I*Pi*d^2*x*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+1/2*I*Pi*d^2*x*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-1/6*I*e^2*Pi*x^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+1/2*I*e*Pi*d*x^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-1/2*I*e*Pi*d*x^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+1/3/b^3*e^2*ln(b*x+a)*a^3*p-1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x+a)^p)^3-1/2*I*Pi*d^2*x*csgn(I*c*(b*x+a)^p)^3+1/b*ln(b*x+a)*a*d^2*p-1/3/b^2*e^2*a^2*p*x+1/6/b*e^2*a*p*x^2+1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-1/2*I*Pi*d^2*x*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)","C"
178,1,83,76,0.089000," ","int((e*x+d)*ln(c*(b*x+a)^p),x)","-\frac{e p \,x^{2}}{4}+\frac{e \,x^{2} \ln \left(c \,{\mathrm e}^{p \ln \left(b x +a \right)}\right)}{2}-\frac{a^{2} e p \ln \left(b x +a \right)}{2 b^{2}}+\frac{a d p \ln \left(b x +a \right)}{b}+\frac{a e p x}{2 b}-d p x +d x \ln \left(c \left(b x +a \right)^{p}\right)"," ",0,"d*x*ln(c*(b*x+a)^p)-d*p*x+d/b*p*a*ln(b*x+a)+1/2*e*x^2*ln(c*exp(p*ln(b*x+a)))-1/4*e*p*x^2-1/2*p*a^2*e/b^2*ln(b*x+a)+1/2*a*p*e/b*x","A"
179,1,30,24,0.067000," ","int(ln(c*(b*x+a)^p),x)","\frac{a p \ln \left(b x +a \right)}{b}-p x +x \ln \left(c \left(b x +a \right)^{p}\right)"," ",0,"x*ln(c*(b*x+a)^p)-p*x+1/b*p*a*ln(b*x+a)","A"
180,1,242,58,0.317000," ","int(ln(c*(b*x+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{e}-\frac{p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"ln(e*x+d)/e*ln((b*x+a)^p)-1/e*p*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-1/e*p*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x+a)^p)^3+1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+ln(e*x+d)/e*ln(c)","C"
181,1,329,68,0.453000," ","int(ln(c*(b*x+a)^p)/(e*x+d)^2,x)","-\frac{\ln \left(\left(b x +a \right)^{p}\right)}{\left(e x +d \right) e}-\frac{-i \pi  a e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)+i \pi  a e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  a e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-i \pi  a e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}+i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)-i \pi  b d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-i \pi  b d \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  b d \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}+2 b e p x \ln \left(b x +a \right)-2 b e p x \ln \left(-e x -d \right)+2 b d p \ln \left(b x +a \right)-2 b d p \ln \left(-e x -d \right)+2 a e \ln \left(c \right)-2 b d \ln \left(c \right)}{2 \left(e x +d \right) \left(a e -b d \right) e}"," ",0,"-1/e/(e*x+d)*ln((b*x+a)^p)-1/2*(I*Pi*a*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-I*Pi*a*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-I*Pi*a*e*csgn(I*c*(b*x+a)^p)^3+I*Pi*a*e*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-I*Pi*b*d*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+I*Pi*b*d*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+I*Pi*b*d*csgn(I*c*(b*x+a)^p)^3-I*Pi*b*d*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+2*ln(b*x+a)*b*e*p*x-2*ln(-e*x-d)*b*e*p*x+2*ln(b*x+a)*b*d*p-2*ln(-e*x-d)*b*d*p+2*ln(c)*a*e-2*b*d*ln(c))/(e*x+d)/e/(a*e-b*d)","C"
182,1,582,97,0.571000," ","int(ln(c*(b*x+a)^p)/(e*x+d)^3,x)","-\frac{\ln \left(\left(b x +a \right)^{p}\right)}{2 \left(e x +d \right)^{2} e}-\frac{2 b^{2} d^{2} p \ln \left(e x +d \right)-2 b^{2} d^{2} p \ln \left(-b x -a \right)+2 a^{2} e^{2} \ln \left(c \right)+2 a b d e p +2 a b \,e^{2} p x -2 b^{2} d e p x -2 b^{2} d^{2} p +2 b^{2} d^{2} \ln \left(c \right)-2 i \pi  a b d e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,a^{2} e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,a^{2} e^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-2 i \pi  a b d e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+4 b^{2} d e p x \ln \left(e x +d \right)-4 b^{2} d e p x \ln \left(-b x -a \right)+2 b^{2} e^{2} p \,x^{2} \ln \left(e x +d \right)-2 b^{2} e^{2} p \,x^{2} \ln \left(-b x -a \right)-4 a b d e \ln \left(c \right)+2 i \pi  a b d e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)-i \pi  \,a^{2} e^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-i \pi  \,a^{2} e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)+2 i \pi  a b d e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-i \pi  \,b^{2} d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{4 \left(e x +d \right)^{2} \left(a e -b d \right)^{2} e}"," ",0,"-1/2/e/(e*x+d)^2*ln((b*x+a)^p)-1/4*(2*ln(e*x+d)*b^2*d^2*p-2*ln(-b*x-a)*b^2*d^2*p+I*Pi*b^2*d^2*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+I*Pi*a^2*e^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+I*Pi*a^2*e^2*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+2*ln(c)*a^2*e^2+2*a*b*d*p*e+2*a*b*e^2*p*x-2*b^2*d*e*p*x+2*I*Pi*a*b*d*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-2*b^2*d^2*p-2*I*Pi*a*b*d*e*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+2*b^2*d^2*ln(c)-2*I*Pi*a*b*d*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+I*Pi*b^2*d^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-I*Pi*b^2*d^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+2*I*Pi*a*b*d*e*csgn(I*c*(b*x+a)^p)^3+4*ln(e*x+d)*b^2*d*e*p*x-4*ln(-b*x-a)*b^2*d*e*p*x+2*ln(e*x+d)*b^2*e^2*p*x^2-2*ln(-b*x-a)*b^2*e^2*p*x^2-4*ln(c)*a*b*d*e-I*Pi*b^2*d^2*csgn(I*c*(b*x+a)^p)^3-I*Pi*a^2*e^2*csgn(I*c*(b*x+a)^p)^3-I*Pi*a^2*e^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c))/(e*x+d)^2/(a*e-b*d)^2/e","C"
183,1,873,123,0.656000," ","int(ln(c*(b*x+a)^p)/(e*x+d)^4,x)","-\frac{\ln \left(\left(b x +a \right)^{p}\right)}{3 \left(e x +d \right)^{3} e}+\frac{2 b^{3} d^{3} \ln \left(c \right)-2 a^{3} e^{3} \ln \left(c \right)+2 a \,b^{2} e^{3} p \,x^{2}-2 b^{3} d \,e^{2} p \,x^{2}-a^{2} b \,e^{3} p x -5 b^{3} d^{2} e p x -a^{2} b d \,e^{2} p +4 a \,b^{2} d^{2} e p -3 b^{3} d^{3} p +6 a \,b^{2} d \,e^{2} p x +2 b^{3} d^{3} p \ln \left(-e x -d \right)-2 b^{3} d^{3} p \ln \left(b x +a \right)+i \pi  \,a^{3} e^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-i \pi  \,b^{3} d^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-3 i \pi  \,a^{2} b d \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)+3 i \pi  a \,b^{2} d^{2} e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)+3 i \pi  a \,b^{2} d^{2} e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-i \pi  \,b^{3} d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)-i \pi  \,a^{3} e^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,b^{3} d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+i \pi  \,b^{3} d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+3 i \pi  \,a^{2} b d \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}+3 i \pi  \,a^{2} b d \,e^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-3 i \pi  a \,b^{2} d^{2} e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-3 i \pi  a \,b^{2} d^{2} e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-2 b^{3} e^{3} p \,x^{3} \ln \left(b x +a \right)+2 b^{3} e^{3} p \,x^{3} \ln \left(-e x -d \right)+6 a^{2} b d \,e^{2} \ln \left(c \right)-6 a \,b^{2} d^{2} e \ln \left(c \right)-i \pi  \,a^{3} e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}-3 i \pi  \,a^{2} b d \,e^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}-6 b^{3} d \,e^{2} p \,x^{2} \ln \left(b x +a \right)+6 b^{3} d \,e^{2} p \,x^{2} \ln \left(-e x -d \right)-6 b^{3} d^{2} e p x \ln \left(b x +a \right)+6 b^{3} d^{2} e p x \ln \left(-e x -d \right)+i \pi  \,a^{3} e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{6 \left(e x +d \right)^{3} \left(a^{2} e^{2}-2 a b d e +b^{2} d^{2}\right) \left(a e -b d \right) e}"," ",0,"-1/3/e/(e*x+d)^3*ln((b*x+a)^p)+1/6*(2*ln(c)*b^3*d^3-2*ln(c)*a^3*e^3+2*a*b^2*e^3*p*x^2-2*b^3*d*e^2*p*x^2-a^2*b*e^3*p*x-5*b^3*d^2*e*p*x-a^2*b*d*p*e^2+4*a*b^2*d^2*p*e-I*Pi*a^3*e^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-3*b^3*d^3*p+6*a*b^2*d*e^2*p*x+2*ln(-e*x-d)*b^3*d^3*p-2*ln(b*x+a)*b^3*d^3*p+3*I*Pi*a*b^2*d^2*e*csgn(I*c*(b*x+a)^p)^3-I*Pi*b^3*d^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+I*Pi*a^3*e^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-I*Pi*a^3*e^3*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+I*Pi*b^3*d^3*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2+I*Pi*b^3*d^3*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+3*I*Pi*a^2*b*d*e^2*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)+3*I*Pi*a^2*b*d*e^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-3*I*Pi*a*b^2*d^2*e*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)-3*I*Pi*a*b^2*d^2*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2-3*I*Pi*a^2*b*d*e^2*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)+I*Pi*a^3*e^3*csgn(I*c*(b*x+a)^p)^3-I*Pi*b^3*d^3*csgn(I*c*(b*x+a)^p)^3+3*I*Pi*a*b^2*d^2*e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)-2*ln(b*x+a)*b^3*e^3*p*x^3+2*ln(-e*x-d)*b^3*e^3*p*x^3+6*ln(c)*a^2*b*d*e^2-6*ln(c)*a*b^2*d^2*e-3*I*Pi*a^2*b*d*e^2*csgn(I*c*(b*x+a)^p)^3-6*ln(b*x+a)*b^3*d*e^2*p*x^2+6*ln(-e*x-d)*b^3*d*e^2*p*x^2-6*ln(b*x+a)*b^3*d^2*e*p*x+6*ln(-e*x-d)*b^3*d^2*e*p*x)/(e*x+d)^3/(a^2*e^2-2*a*b*d*e+b^2*d^2)/(a*e-b*d)/e","C"
184,1,1330,160,0.720000," ","int((e*x+d)^3*ln(c*(b*x^2+a)^p),x)","d \,e^{2} x^{3} \ln \left(c \right)+\frac{3 d^{2} e \,x^{2} \ln \left(c \right)}{2}-\frac{d^{4} p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e +\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{4 e}-\frac{d^{4} p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e -\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{4 e}+\frac{\left(e x +d \right)^{4} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{4 e}+\frac{e^{3} x^{4} \ln \left(c \right)}{4}+d^{3} x \ln \left(c \right)-\frac{e^{3} p \,x^{4}}{8}-\frac{3 d^{2} e p \,x^{2}}{2}-\frac{a^{2} e^{3} p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e +\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{4 b^{2}}-\frac{a^{2} e^{3} p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e -\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{4 b^{2}}-\frac{\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e +\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{b^{2} e}+\frac{\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e -\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{b^{2} e}+\frac{2 a d \,e^{2} p x}{b}-2 d^{3} p x -\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4}-\frac{2 d \,e^{2} p \,x^{3}}{3}+\frac{3 a \,d^{2} e p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e +\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{2 b}+\frac{3 a \,d^{2} e p \ln \left(-a^{2} d \,e^{3}+a b \,d^{3} e -\sqrt{-a^{3} b \,d^{2} e^{6}+2 a^{2} b^{2} d^{4} e^{4}-a \,b^{3} d^{6} e^{2}}\, x \right)}{2 b}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,d^{3} x \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{8}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{a \,e^{3} p \,x^{2}}{4 b}-\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2}-\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{8}-\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2}"," ",0,"d*e^2*x^3*ln(c)+3/2*d^2*e*x^2*ln(c)-1/4/e*p*ln(-a^2*d*e^3+a*b*d^3*e+(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*d^4-1/4/e*p*ln(-a^2*d*e^3+a*b*d^3*e-(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*d^4+1/4*(e*x+d)^4/e*ln((b*x^2+a)^p)+1/4*e^3*x^4*ln(c)+d^3*x*ln(c)-1/8*e^3*p*x^4-3/2*d^2*e*p*x^2-1/4/b^2*e^3*p*ln(-a^2*d*e^3+a*b*d^3*e+(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*a^2-1/4/b^2*e^3*p*ln(-a^2*d*e^3+a*b*d^3*e-(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*a^2-1/b^2/e*p*ln(-a^2*d*e^3+a*b*d^3*e+(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)+1/b^2/e*p*ln(-a^2*d*e^3+a*b*d^3*e-(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)-1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^3-1/2*I*Pi*d^3*csgn(I*c*(b*x^2+a)^p)^3*x+2/b*a*d*p*e^2*x-2*d^3*p*x-2/3*d*e^2*p*x^3+3/2/b*e*p*ln(-a^2*d*e^3+a*b*d^3*e+(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*a*d^2+3/2/b*e*p*ln(-a^2*d*e^3+a*b*d^3*e-(-a^3*b*d^2*e^6+2*a^2*b^2*d^4*e^4-a*b^3*d^6*e^2)^(1/2)*x)*a*d^2+1/2*I*Pi*d^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*x+1/2*I*Pi*d^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*x+1/8*I*e^3*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x^2+a)^p)^3-3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x^2+a)^p)^3+1/4/b*a*e^3*p*x^2+1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/8*I*e^3*Pi*x^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*Pi*d^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*x-1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)","C"
185,1,965,123,0.599000," ","int((e*x+d)^2*ln(c*(b*x^2+a)^p),x)","\frac{\left(e x +d \right)^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 e}+d e \,x^{2} \ln \left(c \right)-\frac{d^{3} p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e -\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{3 e}-\frac{d^{3} p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e +\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{3 e}+\frac{e^{2} x^{3} \ln \left(c \right)}{3}+d^{2} x \ln \left(c \right)-\frac{2 e^{2} p \,x^{3}}{9}-2 d^{2} p x -d e p \,x^{2}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{2 a \,e^{2} p x}{3 b}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{6}+\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{6}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2}+\frac{\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e -\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{3 b^{2} e}-\frac{\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e +\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{3 b^{2} e}+\frac{a d e p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e -\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{b}+\frac{a d e p \ln \left(-a^{2} e^{3}+3 a b \,d^{2} e +\sqrt{-a^{3} b \,e^{6}+6 a^{2} b^{2} d^{2} e^{4}-9 a \,b^{3} d^{4} e^{2}}\, x \right)}{b}"," ",0,"1/3*(e*x+d)^3/e*ln((b*x^2+a)^p)+d*e*x^2*ln(c)-1/3/e*p*ln(-a^2*e^3+3*a*b*d^2*e-(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*d^3-1/3/e*p*ln(-a^2*e^3+3*a*b*d^2*e+(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*d^3+1/3*e^2*x^3*ln(c)+d^2*x*ln(c)-2/9*e^2*p*x^3-2*d^2*p*x-d*e*p*x^2-1/2*I*e*Pi*d*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+2/3/b*a*p*e^2*x+1/6*I*e^2*Pi*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x^2+a)^p)^3+1/3/b^2/e*p*ln(-a^2*e^3+3*a*b*d^2*e-(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)-1/3/b^2/e*p*ln(-a^2*e^3+3*a*b*d^2*e+(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)-1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x^2+a)^p)^3-1/2*I*Pi*d^2*csgn(I*c*(b*x^2+a)^p)^3*x-1/6*I*e^2*Pi*x^3*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+1/2*I*e*Pi*d*x^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-1/2*I*Pi*d^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*x+1/b*e*p*ln(-a^2*e^3+3*a*b*d^2*e-(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*a*d+1/b*e*p*ln(-a^2*e^3+3*a*b*d^2*e+(-a^3*b*e^6+6*a^2*b^2*d^2*e^4-9*a*b^3*d^4*e^2)^(1/2)*x)*a*d+1/2*I*Pi*d^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*x+1/2*I*Pi*d^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*x","C"
186,1,93,85,0.072000," ","int((e*x+d)*ln(c*(b*x^2+a)^p),x)","\frac{2 a d p \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{e p \,x^{2}}{2}+\frac{e \,x^{2} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}{2}-2 d p x +d x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)-\frac{a e p}{2 b}+\frac{a e \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)}{2 b}"," ",0,"d*x*ln(c*(b*x^2+a)^p)-2*d*p*x+2*d*p*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)+1/2*e*ln(c*(b*x^2+a)^p)*x^2-1/2*e*p*x^2+1/2*e/b*ln(c*(b*x^2+a)^p)*a-1/2*a*p*e/b","A"
187,1,38,37,0.069000," ","int(ln(c*(b*x^2+a)^p),x)","\frac{2 a p \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-2 p x +x \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)"," ",0,"x*ln(c*(b*x^2+a)^p)-2*p*x+2*p*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)","A"
188,1,366,173,0.375000," ","int(ln(c*(b*x^2+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e}-\frac{p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e}-\frac{p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{e}-\frac{p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"ln(e*x+d)/e*ln((b*x^2+a)^p)-p/e*ln(e*x+d)*ln((e*(-a*b)^(1/2)-(e*x+d)*b+b*d)/(e*(-a*b)^(1/2)+b*d))-p/e*ln(e*x+d)*ln((e*(-a*b)^(1/2)+(e*x+d)*b-b*d)/(e*(-a*b)^(1/2)-b*d))-p/e*dilog((e*(-a*b)^(1/2)-(e*x+d)*b+b*d)/(e*(-a*b)^(1/2)+b*d))-p/e*dilog((e*(-a*b)^(1/2)+(e*x+d)*b-b*d)/(e*(-a*b)^(1/2)-b*d))+1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/e*ln(c)*ln(e*x+d)","C"
189,1,1233,111,0.611000," ","int(ln(c*(b*x^2+a)^p)/(e*x+d)^2,x)","-\frac{\left(-i \pi  a \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  a \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  a \,e^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  a \,e^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)+i \pi  b \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}+i \pi  b \,d^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}-i \pi  b \,d^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}-2 b d e p x \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}+\sqrt{-a b}\, a^{2} e^{3}-7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e -5 \sqrt{-a b}\, a b d \,e^{2}+3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)-2 b d e p x \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}-\sqrt{-a b}\, a^{2} e^{3}+7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e +5 \sqrt{-a b}\, a b d \,e^{2}-3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)+4 b d e p x \ln \left(e x +d \right)-2 b \,d^{2} p \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}+\sqrt{-a b}\, a^{2} e^{3}-7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e -5 \sqrt{-a b}\, a b d \,e^{2}+3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)-2 b \,d^{2} p \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}-\sqrt{-a b}\, a^{2} e^{3}+7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e +5 \sqrt{-a b}\, a b d \,e^{2}-3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)+4 b \,d^{2} p \ln \left(e x +d \right)+2 \sqrt{-a b}\, e^{2} p x \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}+\sqrt{-a b}\, a^{2} e^{3}-7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e -5 \sqrt{-a b}\, a b d \,e^{2}+3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)-2 \sqrt{-a b}\, e^{2} p x \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}-\sqrt{-a b}\, a^{2} e^{3}+7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e +5 \sqrt{-a b}\, a b d \,e^{2}-3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)+2 a \,e^{2} \ln \left(c \right)+2 b \,d^{2} \ln \left(c \right)+2 \sqrt{-a b}\, d e p \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}+\sqrt{-a b}\, a^{2} e^{3}-7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e -5 \sqrt{-a b}\, a b d \,e^{2}+3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)-2 \sqrt{-a b}\, d e p \ln \left(-5 a^{2} b d \,e^{2}+3 a \,b^{2} d^{3}-\sqrt{-a b}\, a^{2} e^{3}+7 \sqrt{-a b}\, a b \,d^{2} e +\left(-a^{2} b \,e^{3}+7 a \,b^{2} d^{2} e +5 \sqrt{-a b}\, a b d \,e^{2}-3 \sqrt{-a b}\, b^{2} d^{3}\right) x \right)\right) b}{2 \left(e x +d \right) \left(b d -\sqrt{-a b}\, e \right) \left(b d +\sqrt{-a b}\, e \right) e}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{\left(e x +d \right) e}"," ",0,"-1/e/(e*x+d)*ln((b*x^2+a)^p)-1/2*b*(I*Pi*b*d^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e^2+I*Pi*b*d^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-I*Pi*a*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e^2+I*Pi*a*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e^2-I*Pi*b*d^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-I*Pi*b*d^2*csgn(I*c*(b*x^2+a)^p)^3-I*Pi*a*csgn(I*c*(b*x^2+a)^p)^3*e^2-2*(-a*b)^(1/2)*ln((-a^2*b*e^3+7*a*b^2*d^2*e+5*(-a*b)^(1/2)*a*b*d*e^2-3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2-(-a*b)^(1/2)*a^2*e^3+7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*e^2*p*x-2*ln((-a^2*b*e^3+7*a*b^2*d^2*e+5*(-a*b)^(1/2)*a*b*d*e^2-3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2-(-a*b)^(1/2)*a^2*e^3+7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*b*d*e*p*x+2*(-a*b)^(1/2)*ln((-a^2*b*e^3+7*a*b^2*d^2*e-5*(-a*b)^(1/2)*a*b*d*e^2+3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2+(-a*b)^(1/2)*a^2*e^3-7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*e^2*p*x-2*ln((-a^2*b*e^3+7*a*b^2*d^2*e-5*(-a*b)^(1/2)*a*b*d*e^2+3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2+(-a*b)^(1/2)*a^2*e^3-7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*b*d*e*p*x+4*ln(e*x+d)*b*d*e*p*x-2*(-a*b)^(1/2)*ln((-a^2*b*e^3+7*a*b^2*d^2*e+5*(-a*b)^(1/2)*a*b*d*e^2-3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2-(-a*b)^(1/2)*a^2*e^3+7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*d*e*p-2*ln((-a^2*b*e^3+7*a*b^2*d^2*e+5*(-a*b)^(1/2)*a*b*d*e^2-3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2-(-a*b)^(1/2)*a^2*e^3+7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*b*d^2*p+2*(-a*b)^(1/2)*ln((-a^2*b*e^3+7*a*b^2*d^2*e-5*(-a*b)^(1/2)*a*b*d*e^2+3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2+(-a*b)^(1/2)*a^2*e^3-7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*d*e*p-2*ln((-a^2*b*e^3+7*a*b^2*d^2*e-5*(-a*b)^(1/2)*a*b*d*e^2+3*(-a*b)^(1/2)*b^2*d^3)*x-5*a^2*b*d*e^2+(-a*b)^(1/2)*a^2*e^3-7*(-a*b)^(1/2)*a*b*d^2*e+3*a*b^2*d^3)*b*d^2*p+4*ln(e*x+d)*b*d^2*p+2*ln(c)*a*e^2+2*b*d^2*ln(c))/(e*x+d)/(b*d-(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e)/e","C"
190,1,2684,162,0.917000," ","int(ln(c*(b*x^2+a)^p)/(e*x+d)^3,x)","\text{Expression too large to display}"," ",0,"-1/2/e/(e*x+d)^2*ln((b*x^2+a)^p)+1/4*(-2*I*Pi*a*b*d^2*e^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-2*ln(c)*b^2*d^4-2*ln(c)*a^2*e^4+4*b^2*d^4*p+2*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a^2*e^7*x^2+2*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a^2*d^2*e^5+2*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*b^2*d^6*e-4*ln(e*x+d)*b^2*d^4*p+4*a*d^2*b*p*e^2+I*Pi*a^2*e^4*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*b^2*d^4*csgn(I*c*(b*x^2+a)^p)^3-2*I*Pi*a*b*d^2*e^2*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+4*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a*b*d^2*e^5*x^2+8*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a*b*d^3*e^4*x+4*ln(e*x+d)*a*b*e^4*p*x^2-4*ln(e*x+d)*b^2*d^2*e^2*p*x^2-8*ln(e*x+d)*b^2*d^3*e*p*x+4*ln(e*x+d)*a*b*d^2*e^2*p+4*a*d*p*e^3*x*b+2*I*Pi*a*b*d^2*e^2*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+2*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*b^2*d^4*e^3*x^2+4*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a^2*d*e^6*x+4*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*b^2*d^5*e^2*x+4*sum(_R*ln(((3*a^3*e^8+5*a^2*b*d^2*e^6+a*b^2*d^4*e^4-b^3*d^6*e^2)*_R^2+(3*a^2*b*e^5*p+2*a*b^2*d^2*e^3*p-b^3*d^4*e*p)*_R+2*b^3*d^2*p^2)*x+(4*a^3*d*e^7+8*a^2*b*d^3*e^5+4*a*b^2*d^5*e^3)*_R^2+2*a*b^2*d*e*p^2),_R=RootOf((a^2*e^6+2*a*b*d^2*e^4+b^2*d^4*e^2)*_Z^2+(2*a*b*e^3*p-2*b^2*d^2*e*p)*_Z+b^2*p^2))*a*b*d^4*e^3-4*ln(c)*a*b*d^2*e^2+4*d^3*p*x*b^2*e+I*Pi*b^2*d^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)+8*ln(e*x+d)*a*b*d*e^3*p*x-I*Pi*b^2*d^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-I*Pi*a^2*e^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-I*Pi*a^2*e^4*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)-I*Pi*b^2*d^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2+2*I*Pi*a*b*d^2*e^2*csgn(I*c*(b*x^2+a)^p)^3+I*Pi*a^2*e^4*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c))/(e*x+d)^2/e/(a*e^2+b*d^2)^2","C"
191,1,738,259,0.756000," ","int((e*x+d)^3*ln(c*(b*x^3+a)^p),x)","\frac{3 a \,e^{3} p x}{4 b}+d \,e^{2} x^{3} \ln \left(c \right)+\frac{3 d^{2} e \,x^{2} \ln \left(c \right)}{2}+\frac{e^{3} x^{4} \ln \left(c \right)}{4}+d^{3} x \ln \left(c \right)+\frac{\left(e x +d \right)^{4} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{4 e}-\frac{3 e^{3} p \,x^{4}}{16}-\frac{9 d^{2} e p \,x^{2}}{4}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{8}-3 d^{3} p x -\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2}-\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4}-d \,e^{2} p \,x^{3}+\frac{p \left(6 \RootOf \left(b \,\textit{\_Z}^{3}+a \right) a b \,d^{2} e^{2}-a^{2} e^{4}+4 a b \,d^{3} e +\left(4 a \,e^{3}-b \,d^{3}\right) \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2} b d \right) \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{4 b^{2} e \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2}}-\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,d^{3} x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}+\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{8}-\frac{i \pi  d \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2}-\frac{3 i \pi  \,d^{2} e \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,e^{3} x^{4} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{8}"," ",0,"3/4/b*e^3*a*p*x+d*e^2*x^3*ln(c)+3/2*d^2*e*x^2*ln(c)+1/4*e^3*x^4*ln(c)+d^3*x*ln(c)+1/4/b^2*p/e*sum((b*d*(4*a*e^3-b*d^3)*_R^2+6*a*b*d^2*e^2*_R-a^2*e^4+4*a*b*d^3*e)/_R^2*ln(-_R+x),_R=RootOf(_Z^3*b+a))-1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x^3+a)^p)^3+1/4*(e*x+d)^4/e*ln((b*x^3+a)^p)-3/16*e^3*p*x^4-9/4*d^2*e*p*x^2-3*d^3*p*x-1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-d*e^2*p*x^3-1/8*I*e^3*Pi*x^4*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+1/2*I*e^2*Pi*d*x^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/2*I*Pi*d^3*x*csgn(I*c*(b*x^3+a)^p)^3+1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+3/4*I*e*Pi*d^2*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-1/2*I*Pi*d^3*x*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+1/2*I*Pi*d^3*x*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/8*I*e^3*Pi*x^4*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+1/8*I*e^3*Pi*x^4*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-1/2*I*e^2*Pi*d*x^3*csgn(I*c*(b*x^3+a)^p)^3-3/4*I*e*Pi*d^2*x^2*csgn(I*c*(b*x^3+a)^p)^3+1/2*I*Pi*d^3*x*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2","C"
192,1,537,195,0.774000," ","int((e*x+d)^2*ln(c*(b*x^3+a)^p),x)","\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{6}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{6}+\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{6}-\frac{i \pi  d e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2}-\frac{i \pi  \,e^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{6}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2}-\frac{e^{2} p \,x^{3}}{3}+\frac{e^{2} x^{3} \ln \left(c \right)}{3}-\frac{3 d e p \,x^{2}}{2}+d e \,x^{2} \ln \left(c \right)-3 d^{2} p x +d^{2} x \ln \left(c \right)+\frac{p \left(3 \RootOf \left(b \,\textit{\_Z}^{3}+a \right) a d \,e^{2}+3 a \,d^{2} e +\left(a \,e^{3}-b \,d^{3}\right) \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2}\right) \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{3 b e \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2}}+\frac{\left(e x +d \right)^{3} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{3 e}"," ",0,"1/3*(e*x+d)^3/e*ln((b*x^3+a)^p)+1/2*I*e*Pi*d*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+1/2*I*Pi*d^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*x-1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x^3+a)^p)^3+1/2*I*Pi*d^2*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*x-1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x^3+a)^p)^3-1/2*I*Pi*d^2*csgn(I*c*(b*x^3+a)^p)^3*x+1/6*I*e^2*Pi*x^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+1/2*I*e*Pi*d*x^2*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/6*I*e^2*Pi*x^3*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-1/2*I*e*Pi*d*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/6*I*e^2*Pi*x^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/2*I*Pi*d^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*x+1/3*e^2*x^3*ln(c)-1/3*e^2*p*x^3+d*e*x^2*ln(c)-3/2*d*e*p*x^2+d^2*x*ln(c)-3*d^2*p*x+1/3*p/b/e*sum(((a*e^3-b*d^3)*_R^2+3*a*d*e^2*_R+3*a*d^2*e)/_R^2*ln(-_R+x),_R=RootOf(_Z^3*b+a))","C"
193,1,335,172,0.735000," ","int((e*x+d)*ln(c*(b*x^3+a)^p),x)","-\frac{i \pi  e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4}+\frac{i \pi  e \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}+\frac{i \pi  e \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4}-\frac{i \pi  e \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4}-\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2}+\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}+\frac{i \pi  d x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2}-\frac{i \pi  d x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2}-\frac{3 e p \,x^{2}}{4}+\frac{e \,x^{2} \ln \left(c \right)}{2}-3 d p x +d x \ln \left(c \right)+\frac{a p \left(e \RootOf \left(b \,\textit{\_Z}^{3}+a \right)+2 d \right) \ln \left(-\RootOf \left(b \,\textit{\_Z}^{3}+a \right)+x \right)}{2 b \RootOf \left(b \,\textit{\_Z}^{3}+a \right)^{2}}+\left(\frac{1}{2} e \,x^{2}+d x \right) \ln \left(\left(b \,x^{3}+a \right)^{p}\right)"," ",0,"(1/2*e*x^2+d*x)*ln((b*x^3+a)^p)-1/4*I*Pi*e*x^2*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+1/4*I*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2*x^2*e*Pi+1/4*I*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*(b*x^3+a)^p)*x^2*e*Pi-1/4*I*Pi*e*x^2*csgn(I*c*(b*x^3+a)^p)^3-1/2*I*Pi*d*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*x+1/2*I*Pi*d*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*x+1/2*I*Pi*d*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*x-1/2*I*Pi*d*csgn(I*c*(b*x^3+a)^p)^3*x+1/2*ln(c)*e*x^2-3/4*e*p*x^2+ln(c)*d*x-3*d*p*x+1/2*a*p/b*sum((_R*e+2*d)/_R^2*ln(-_R+x),_R=RootOf(_Z^3*b+a))","C"
194,1,113,98,0.063000," ","int(ln(c*(b*x^3+a)^p),x)","\frac{\sqrt{3}\, a p \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}+\frac{a p \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{2}{3}} b}-\frac{a p \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} b}-3 p x +x \ln \left(c \left(b \,x^{3}+a \right)^{p}\right)"," ",0,"x*ln(c*(b*x^3+a)^p)-3*p*x+1/b*p*a/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/2/b*p*a/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/b*p*a/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))","A"
195,1,261,252,0.595000," ","int(ln(c*(b*x^3+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b d \,\textit{\_Z}^{2}+3 b \,d^{2} \textit{\_Z} +a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b d \,\textit{\_Z}^{2}+3 b \,d^{2} \textit{\_Z} +a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 b d \,\textit{\_Z}^{2}+3 b \,d^{2} \textit{\_Z} +a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 b d \,\textit{\_Z}^{2}+3 b \,d^{2} \textit{\_Z} +a \,e^{3}-b \,d^{3}\right)}\right)\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"ln(e*x+d)/e*ln((b*x^3+a)^p)-p/e*sum(ln(e*x+d)*ln((-e*x+_R1-d)/_R1)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^3+a)^p)^3+1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+1/e*ln(c)*ln(e*x+d)","C"
196,1,1068,241,0.830000," ","int(ln(c*(b*x^3+a)^p)/(e*x+d)^2,x)","-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{\left(e x +d \right) e}+\frac{2 a \,e^{5} x \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) \ln \left(5 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b \,d^{2} e \,p^{2}-3 b d \,p^{3}+\left(-5 a d \,e^{6}-b \,d^{4} e^{3}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}+\left(a \,e^{5} p -b \,d^{3} e^{2} p \right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2}+\left(-3 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2} b \,d^{2} e^{3} p +8 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b d \,e^{2} p^{2}-3 b e \,p^{3}+\left(-4 e^{7} a -2 b \,d^{3} e^{4}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}\right) x \right)-2 b \,d^{3} e^{2} x \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) \ln \left(5 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b \,d^{2} e \,p^{2}-3 b d \,p^{3}+\left(-5 a d \,e^{6}-b \,d^{4} e^{3}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}+\left(a \,e^{5} p -b \,d^{3} e^{2} p \right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2}+\left(-3 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2} b \,d^{2} e^{3} p +8 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b d \,e^{2} p^{2}-3 b e \,p^{3}+\left(-4 e^{7} a -2 b \,d^{3} e^{4}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}\right) x \right)+2 a d \,e^{4} \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) \ln \left(5 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b \,d^{2} e \,p^{2}-3 b d \,p^{3}+\left(-5 a d \,e^{6}-b \,d^{4} e^{3}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}+\left(a \,e^{5} p -b \,d^{3} e^{2} p \right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2}+\left(-3 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2} b \,d^{2} e^{3} p +8 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b d \,e^{2} p^{2}-3 b e \,p^{3}+\left(-4 e^{7} a -2 b \,d^{3} e^{4}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}\right) x \right)-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}-i \pi  a \,e^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+i \pi  a \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  b \,d^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-2 b \,d^{4} e \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) \ln \left(5 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b \,d^{2} e \,p^{2}-3 b d \,p^{3}+\left(-5 a d \,e^{6}-b \,d^{4} e^{3}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}+\left(a \,e^{5} p -b \,d^{3} e^{2} p \right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2}+\left(-3 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{2} b \,d^{2} e^{3} p +8 \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right) b d \,e^{2} p^{2}-3 b e \,p^{3}+\left(-4 e^{7} a -2 b \,d^{3} e^{4}\right) \RootOf \left(3 \textit{\_Z}^{2} b \,d^{2} e^{2} p -3 \textit{\_Z} b d e \,p^{2}+b \,p^{3}+\left(a \,e^{6}-b \,d^{3} e^{3}\right) \textit{\_Z}^{3}\right)^{3}\right) x \right)-i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)+i \pi  a \,e^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}+i \pi  b \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}-i \pi  a \,e^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}+6 b \,d^{2} e p x \ln \left(-e x -d \right)+6 b \,d^{3} p \ln \left(-e x -d \right)-2 a \,e^{3} \ln \left(c \right)+2 b \,d^{3} \ln \left(c \right)}{2 \left(e x +d \right) \left(a \,e^{3}-b \,d^{3}\right) e}"," ",0,"-1/e/(e*x+d)*ln((b*x^3+a)^p)+1/2*(-I*Pi*b*d^3*csgn(I*c*(b*x^3+a)^p)^3-I*Pi*a*e^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+I*Pi*a*e^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+I*Pi*b*d^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*b*d^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+I*Pi*a*e^3*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*b*d^3*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-I*Pi*a*e^3*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+2*sum(_R*ln(((-4*a*e^7-2*b*d^3*e^4)*_R^3-3*_R^2*b*d^2*e^3*p+8*_R*b*d*e^2*p^2-3*b*e*p^3)*x+(-5*a*d*e^6-b*d^4*e^3)*_R^3+(a*e^5*p-b*d^3*e^2*p)*_R^2+5*b*d^2*e*p^2*_R-3*b*d*p^3),_R=RootOf((a*e^6-b*d^3*e^3)*_Z^3+3*b*d^2*e^2*p*_Z^2-3*b*d*e*p^2*_Z+b*p^3))*a*e^5*x-2*sum(_R*ln(((-4*a*e^7-2*b*d^3*e^4)*_R^3-3*_R^2*b*d^2*e^3*p+8*_R*b*d*e^2*p^2-3*b*e*p^3)*x+(-5*a*d*e^6-b*d^4*e^3)*_R^3+(a*e^5*p-b*d^3*e^2*p)*_R^2+5*b*d^2*e*p^2*_R-3*b*d*p^3),_R=RootOf((a*e^6-b*d^3*e^3)*_Z^3+3*b*d^2*e^2*p*_Z^2-3*b*d*e*p^2*_Z+b*p^3))*b*d^3*e^2*x+2*sum(_R*ln(((-4*a*e^7-2*b*d^3*e^4)*_R^3-3*_R^2*b*d^2*e^3*p+8*_R*b*d*e^2*p^2-3*b*e*p^3)*x+(-5*a*d*e^6-b*d^4*e^3)*_R^3+(a*e^5*p-b*d^3*e^2*p)*_R^2+5*b*d^2*e*p^2*_R-3*b*d*p^3),_R=RootOf((a*e^6-b*d^3*e^3)*_Z^3+3*b*d^2*e^2*p*_Z^2-3*b*d*e*p^2*_Z+b*p^3))*a*d*e^4-2*sum(_R*ln(((-4*a*e^7-2*b*d^3*e^4)*_R^3-3*_R^2*b*d^2*e^3*p+8*_R*b*d*e^2*p^2-3*b*e*p^3)*x+(-5*a*d*e^6-b*d^4*e^3)*_R^3+(a*e^5*p-b*d^3*e^2*p)*_R^2+5*b*d^2*e*p^2*_R-3*b*d*p^3),_R=RootOf((a*e^6-b*d^3*e^3)*_Z^3+3*b*d^2*e^2*p*_Z^2-3*b*d*e*p^2*_Z+b*p^3))*b*d^4*e+6*ln(-e*x-d)*b*d^2*e*p*x+6*ln(-e*x-d)*b*d^3*p-2*ln(c)*a*e^3+2*b*d^3*ln(c))/(e*x+d)/e/(a*e^3-b*d^3)","C"
197,1,4085,332,0.841000," ","int(ln(c*(b*x^3+a)^p)/(e*x+d)^3,x)","\text{output too large to display}"," ",0,"-1/2/e/(e*x+d)^2*ln((b*x^3+a)^p)+1/4*(-2*I*Pi*a*b*d^3*e^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-6*a*b*d^2*e^4*p*x+6*b^2*d^6*p-I*Pi*b^2*d^6*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+6*b^2*d^5*e*p*x-2*ln(c)*a^2*e^6-2*ln(c)*b^2*d^6+2*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a^2*e^9*x^2+2*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a^2*d^2*e^7+2*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*b^2*d^8*e-6*ln(e*x+d)*b^2*d^6*p+2*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*b^2*d^6*e^3*x^2+4*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a^2*d*e^8*x+4*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*b^2*d^7*e^2*x-4*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a*b*d^5*e^4+4*ln(c)*a*b*d^3*e^3-6*a*d^3*e^3*b*p+I*Pi*a^2*e^6*csgn(I*c*(b*x^3+a)^p)^3+I*Pi*b^2*d^6*csgn(I*c*(b*x^3+a)^p)^3-4*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a*b*d^3*e^6*x^2-8*sum(_R*ln(((-4*a^3*e^13+6*a^2*b*d^3*e^10-2*b^3*d^9*e^4)*_R^3+(14*a^2*b*d*e^9*p-10*a*b^2*d^4*e^6*p-4*b^3*d^7*e^3*p)*_R^2+(3*a*b^2*d^2*e^5*p^2+6*b^3*d^5*e^2*p^2)*_R+3*a*b^2*e^4*p^3)*x+(-5*a^3*d*e^12+9*a^2*b*d^4*e^9-3*a*b^2*d^7*e^6-b^3*d^10*e^3)*_R^3+(8*a^2*b*d^2*e^8*p-7*a*b^2*d^5*e^5*p-b^3*d^8*e^2*p)*_R^2+(-a^2*b*e^7*p^2+5*a*b^2*d^3*e^4*p^2+5*b^3*d^6*e*p^2)*_R-3*a*b^2*d*e^3*p^3-3*b^3*d^4*p^3),_R=RootOf((a^2*e^9-2*a*b*d^3*e^6+b^2*d^6*e^3)*_Z^3+(-6*a*b*d*e^5*p-3*b^2*d^4*e^2*p)*_Z^2+3*b^2*d^2*e*p^2*_Z-b^2*p^3))*a*b*d^4*e^5*x-6*ln(e*x+d)*b^2*d^4*e^2*p*x^2-12*ln(e*x+d)*b^2*d^5*e*p*x-12*ln(e*x+d)*a*b*d^3*e^3*p+2*I*Pi*a*b*d^3*e^3*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)+2*I*Pi*a*b*d^3*e^3*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a^2*e^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2-I*Pi*a^2*e^6*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)-I*Pi*b^2*d^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2+I*Pi*a^2*e^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)+I*Pi*b^2*d^6*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)-2*I*Pi*a*b*d^3*e^3*csgn(I*c*(b*x^3+a)^p)^3-12*ln(e*x+d)*a*b*d*e^5*p*x^2-24*ln(e*x+d)*a*b*d^2*e^4*p*x)/(e*x+d)^2/(-a*e^3+b*d^3)^2/e","C"
198,0,0,127,0.409000," ","int((e*x+d)^3*ln(c*(a+b/x)^p),x)","\int \left(e x +d \right)^{3} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int((e*x+d)^3*ln(c*(a+b/x)^p),x)","F"
199,0,0,92,0.373000," ","int((e*x+d)^2*ln(c*(a+b/x)^p),x)","\int \left(e x +d \right)^{2} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int((e*x+d)^2*ln(c*(a+b/x)^p),x)","F"
200,0,0,70,0.143000," ","int((e*x+d)*ln(c*(a+b/x)^p),x)","\int \left(e x +d \right) \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int((e*x+d)*ln(c*(a+b/x)^p),x)","F"
201,0,0,113,0.443000," ","int(ln(c*(a+b/x)^p)/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/(e*x+d),x)","F"
202,0,0,81,0.423000," ","int(ln(c*(a+b/x)^p)/(e*x+d)^2,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right)^{2}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/(e*x+d)^2,x)","F"
203,0,0,117,0.413000," ","int(ln(c*(a+b/x)^p)/(e*x+d)^3,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right)^{3}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/(e*x+d)^3,x)","F"
204,0,0,163,0.407000," ","int(ln(c*(a+b/x)^p)/(e*x+d)^4,x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right)^{4}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/(e*x+d)^4,x)","F"
205,1,114,105,0.136000," ","int(ln(a+b/x)/(d*x+c),x)","\frac{\ln \left(\frac{-a c +b d +\left(a +\frac{b}{x}\right) c}{-a c +b d}\right) \ln \left(a +\frac{b}{x}\right)}{d}-\frac{\ln \left(-\frac{b}{a x}\right) \ln \left(a +\frac{b}{x}\right)}{d}+\frac{\dilog \left(\frac{-a c +b d +\left(a +\frac{b}{x}\right) c}{-a c +b d}\right)}{d}-\frac{\dilog \left(-\frac{b}{a x}\right)}{d}"," ",0,"-1/d*ln(a+b/x)*ln(-b/a/x)-1/d*dilog(-b/a/x)+1/d*dilog((c*(a+b/x)-a*c+b*d)/(-a*c+b*d))+1/d*ln(a+b/x)*ln((c*(a+b/x)-a*c+b*d)/(-a*c+b*d))","A"
206,0,0,263,1.170000," ","int((e*x+d)^m*ln(c*(b*x^3+a)^p),x)","\int \left(e x +d \right)^{m} \ln \left(c \left(b \,x^{3}+a \right)^{p}\right)\, dx"," ",0,"int((e*x+d)^m*ln(c*(b*x^3+a)^p),x)","F"
207,0,0,185,1.359000," ","int((e*x+d)^m*ln(c*(b*x^2+a)^p),x)","\int \left(e x +d \right)^{m} \ln \left(c \left(b \,x^{2}+a \right)^{p}\right)\, dx"," ",0,"int((e*x+d)^m*ln(c*(b*x^2+a)^p),x)","F"
208,0,0,91,1.229000," ","int((e*x+d)^m*ln(c*(b*x+a)^p),x)","\int \left(e x +d \right)^{m} \ln \left(c \left(b x +a \right)^{p}\right)\, dx"," ",0,"int((e*x+d)^m*ln(c*(b*x+a)^p),x)","F"
209,-1,0,139,180.000000," ","int((e*x+d)^m*ln(c*(a+b/x)^p),x)","\int \left(e x +d \right)^{m} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)\, dx"," ",0,"int((e*x+d)^m*ln(c*(a+b/x)^p),x)","F"
210,-1,0,239,180.000000," ","int((e*x+d)^m*ln(c*(a+b/x^2)^p),x)","\int \left(e x +d \right)^{m} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)\, dx"," ",0,"int((e*x+d)^m*ln(c*(a+b/x^2)^p),x)","F"
211,0,0,22,1.773000," ","int((g*x+f)^m*ln(c*(e*x^n+d)^p),x)","\int \left(g x +f \right)^{m} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((g*x+f)^m*ln(c*(e*x^n+d)^p),x)","F"
212,0,0,232,1.796000," ","int((g*x+f)^3*ln(c*(e*x^n+d)^p),x)","\int \left(g x +f \right)^{3} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((g*x+f)^3*ln(c*(e*x^n+d)^p),x)","F"
213,0,0,181,1.882000," ","int((g*x+f)^2*ln(c*(e*x^n+d)^p),x)","\int \left(g x +f \right)^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((g*x+f)^2*ln(c*(e*x^n+d)^p),x)","F"
214,0,0,130,2.187000," ","int((g*x+f)*ln(c*(e*x^n+d)^p),x)","\int \left(g x +f \right) \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int((g*x+f)*ln(c*(e*x^n+d)^p),x)","F"
215,0,0,56,0.050000," ","int(ln(c*(e*x^n+d)^p),x)","\int \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)\, dx"," ",0,"int(ln(c*(e*x^n+d)^p),x)","F"
216,0,0,22,1.638000," ","int(ln(c*(e*x^n+d)^p)/(g*x+f),x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{g x +f}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/(g*x+f),x)","F"
217,0,0,22,1.370000," ","int(ln(c*(e*x^n+d)^p)/(g*x+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{\left(g x +f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/(g*x+f)^2,x)","F"
218,0,0,22,1.536000," ","int(ln(c*(e*x^n+d)^p)/(g*x+f)^3,x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)}{\left(g x +f \right)^{3}}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)/(g*x+f)^3,x)","F"
219,1,919,232,0.332000," ","int(x^3*ln(c*(b*x+a)^p)/(e*x+d),x)","-\frac{p \,x^{3}}{9 e}+\frac{x^{3} \ln \left(\left(b x +a \right)^{p}\right)}{3 e}+\frac{x^{3} \ln \left(c \right)}{3 e}+\frac{a^{2} d p \ln \left(a e -b d +\left(e x +d \right) b \right)}{2 b^{2} e^{2}}+\frac{a \,d^{2} p \ln \left(a e -b d +\left(e x +d \right) b \right)}{b \,e^{3}}-\frac{a^{2} d p}{3 b^{2} e^{2}}+\frac{a^{3} p \ln \left(a e -b d +\left(e x +d \right) b \right)}{3 b^{3} e}+\frac{d^{3} p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{2 a \,d^{2} p}{3 b \,e^{3}}-\frac{d^{2} p x}{e^{3}}-\frac{d \,x^{2} \ln \left(\left(b x +a \right)^{p}\right)}{2 e^{2}}+\frac{d^{3} p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{e^{4}}-\frac{d \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{d^{2} x \ln \left(c \right)}{e^{3}}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2 e^{3}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{4 e^{2}}-\frac{d^{3} \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}+\frac{d^{2} x \ln \left(\left(b x +a \right)^{p}\right)}{e^{3}}-\frac{d^{3} \ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{49 d^{3} p}{36 e^{4}}-\frac{a^{2} p x}{3 b^{2} e}+\frac{a p \,x^{2}}{6 b e}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 e^{2}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{6 e}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{6 e}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 e^{2}}+\frac{d p \,x^{2}}{4 e^{2}}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{6 e}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{6 e}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2 e^{3}}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{4 e^{2}}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e^{3}}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e^{3}}-\frac{a d p x}{2 b \,e^{2}}"," ",0,"1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e^2*x^2*d+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*d^3/e^4*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e^3*x*d^2-1/9*p*x^3/e+1/3*ln((b*x+a)^p)/e*x^3-1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e^2*x^2*d+1/3*ln(c)/e*x^3-1/6*I*Pi*csgn(I*c*(b*x+a)^p)^3/e*x^3+1/6*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e*x^3+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*d^3/e^4*ln(e*x+d)+1/2/b^2*p/e^2*a^2*ln(a*e-b*d+(e*x+d)*b)*d+1/b*p/e^3*a*ln(a*e-b*d+(e*x+d)*b)*d^2-1/4*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e^2*x^2*d-1/6*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e*x^3-1/3/b^2*p/e^2*a^2*d+1/3/b^3*p/e*a^3*ln(a*e-b*d+(e*x+d)*b)+p/e^4*d^3*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-2/3/b*p/e^3*a*d^2-d^2*p*x/e^3+1/6*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e*x^3+1/4*I*Pi*csgn(I*c*(b*x+a)^p)^3/e^2*x^2*d-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/e^3*x*d^2-1/2*ln((b*x+a)^p)/e^2*x^2*d+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e^3*x*d^2+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e^3*x*d^2-1/2*ln(c)/e^2*x^2*d+ln(c)/e^3*x*d^2-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*d^3/e^4*ln(e*x+d)-ln(c)*d^3/e^4*ln(e*x+d)+ln((b*x+a)^p)/e^3*x*d^2-ln((b*x+a)^p)*d^3/e^4*ln(e*x+d)-49/36*p/e^4*d^3+p/e^4*d^3*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*d^3/e^4*ln(e*x+d)-1/3*a^2*p*x/b^2/e+1/6*a*p*x^2/b/e+1/4*d*p*x^2/e^2-1/2*a*d*p*x/b/e^2","C"
220,1,666,151,0.325000," ","int(x^2*ln(c*(b*x+a)^p)/(e*x+d),x)","-\frac{p \,x^{2}}{4 e}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{4 e}+\frac{x^{2} \ln \left(c \right)}{2 e}-\frac{a d p \ln \left(a e -b d +\left(e x +d \right) b \right)}{b \,e^{2}}-\frac{a^{2} p \ln \left(a e -b d +\left(e x +d \right) b \right)}{2 b^{2} e}+\frac{a d p}{2 b \,e^{2}}-\frac{d^{2} p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{e^{3}}+\frac{5 d^{2} p}{4 e^{3}}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 e}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 e}+\frac{d p x}{e^{2}}-\frac{d x \ln \left(c \right)}{e^{2}}+\frac{d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}+\frac{x^{2} \ln \left(\left(b x +a \right)^{p}\right)}{2 e}-\frac{d^{2} p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{e^{3}}+\frac{d^{2} \ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{d x \ln \left(\left(b x +a \right)^{p}\right)}{e^{2}}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2 e^{2}}+\frac{i \pi  d x \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2 e^{2}}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{3}}+\frac{a p x}{2 b e}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}-\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e^{2}}-\frac{i \pi  d x \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e^{2}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{4 e}"," ",0,"-1/4*I*Pi*csgn(I*c*(b*x+a)^p)^3/e*x^2-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*d^2/e^3*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e^2*x*d-1/4*p*x^2/e+1/2*ln(c)/e*x^2+1/4*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e*x^2-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*d^2/e^3*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/e^2*x*d+1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e*x^2-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e^2*x*d-1/b*p/e^2*a*ln(a*e-b*d+(e*x+d)*b)*d-1/2/b^2*p/e*a^2*ln(a*e-b*d+(e*x+d)*b)+1/2/b*p/e^2*a*d-p/e^3*d^2*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+5/4*p/e^3*d^2+d*p*x/e^2-ln(c)/e^2*x*d+ln(c)*d^2/e^3*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e^2*x*d+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*d^2/e^3*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*d^2/e^3*ln(e*x+d)+1/2*ln((b*x+a)^p)/e*x^2+ln((b*x+a)^p)*d^2/e^3*ln(e*x+d)-ln((b*x+a)^p)/e^2*x*d-1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e*x^2-p/e^3*d^2*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+1/2*a*p*x/b/e","C"
221,1,427,91,0.322000," ","int(x*ln(c*(b*x+a)^p)/(e*x+d),x)","\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  d \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  d \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2 e}+\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 e}-\frac{i \pi  x \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2 e}+\frac{d p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{a p \ln \left(a e -b d +\left(e x +d \right) b \right)}{b e}+\frac{d p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{e^{2}}-\frac{d \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}-\frac{d \ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{e^{2}}-\frac{p x}{e}+\frac{x \ln \left(c \right)}{e}+\frac{x \ln \left(\left(b x +a \right)^{p}\right)}{e}-\frac{d p}{e^{2}}"," ",0,"ln((b*x+a)^p)/e*x-ln((b*x+a)^p)*d/e^2*ln(e*x+d)-p*x/e-p/e^2*d+1/b*p/e*a*ln(a*e-b*d+(e*x+d)*b)+p/e^2*d*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+p/e^2*d*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*d/e^2*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/e*x-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/e*x-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/e*x-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/e*x+ln(c)/e*x-ln(c)*d/e^2*ln(e*x+d)","C"
222,1,242,58,0.100000," ","int(ln(c*(b*x+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{e}-\frac{p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"1/e*ln((b*x+a)^p)*ln(e*x+d)-1/e*p*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-1/e*p*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))*ln(e*x+d)+1/2*I*Pi/e*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*ln(e*x+d)-1/2*I*Pi/e*csgn(I*c)*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*ln(e*x+d)-1/2*I*Pi/e*csgn(I*c*(b*x+a)^p)^3*ln(e*x+d)+1/2*I*Pi/e*csgn(I*c)*csgn(I*c*(b*x+a)^p)^2*ln(e*x+d)+1/e*ln(c)*ln(e*x+d)","C"
223,1,420,97,0.266000," ","int(ln(c*(b*x+a)^p)/x/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(x \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{p \ln \left(x \right) \ln \left(\frac{b x +a}{a}\right)}{d}+\frac{p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{d}-\frac{p \dilog \left(\frac{b x +a}{a}\right)}{d}+\frac{p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{d}+\frac{\ln \left(c \right) \ln \left(x \right)}{d}-\frac{\ln \left(c \right) \ln \left(e x +d \right)}{d}+\frac{\ln \left(x \right) \ln \left(\left(b x +a \right)^{p}\right)}{d}-\frac{\ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{d}"," ",0,"ln((b*x+a)^p)/d*ln(x)-ln((b*x+a)^p)/d*ln(e*x+d)-p/d*dilog((b*x+a)/a)-p/d*ln(x)*ln((b*x+a)/a)+p/d*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+p/d*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/d*ln(x)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/d*ln(x)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/d*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/d*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/d*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/d*ln(x)-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/d*ln(e*x+d)+1/d*ln(c)*ln(x)-1/d*ln(c)*ln(e*x+d)","C"
224,1,615,146,0.254000," ","int(ln(c*(b*x+a)^p)/x^2/(e*x+d),x)","\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{i \pi  e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{2}}+\frac{e p \ln \left(x \right) \ln \left(\frac{b x +a}{a}\right)}{d^{2}}-\frac{e p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{d^{2}}+\frac{b p \ln \left(x \right)}{a d}-\frac{b p \ln \left(b x +a \right)}{a d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2 d x}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 d x}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 d x}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2 d x}+\frac{e p \dilog \left(\frac{b x +a}{a}\right)}{d^{2}}-\frac{e p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{d^{2}}-\frac{e \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{e \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}-\frac{e \ln \left(x \right) \ln \left(\left(b x +a \right)^{p}\right)}{d^{2}}+\frac{e \ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{\ln \left(c \right)}{d x}-\frac{\ln \left(\left(b x +a \right)^{p}\right)}{d x}"," ",0,"-ln((b*x+a)^p)/d/x-ln((b*x+a)^p)*e/d^2*ln(x)+ln((b*x+a)^p)*e/d^2*ln(e*x+d)-p*e/d^2*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-p*e/d^2*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+b*p*ln(x)/a/d-b*p*ln(b*x+a)/a/d+p*e/d^2*dilog((b*x+a)/a)+p*e/d^2*ln(x)*ln((b*x+a)/a)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3/d/x-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/d/x-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*e/d^2*ln(x)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*e/d^2*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/d/x+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*e/d^2*ln(x)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*e/d^2*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*e/d^2*ln(x)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/d/x-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*e/d^2*ln(x)-ln(c)/d/x-ln(c)*e/d^2*ln(x)+ln(c)*e/d^2*ln(e*x+d)","C"
225,1,850,219,0.252000," ","int(ln(c*(b*x+a)^p)/x^3/(e*x+d),x)","-\frac{e^{2} p \dilog \left(\frac{b x +a}{a}\right)}{d^{3}}+\frac{e^{2} p \dilog \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right)}{d^{3}}+\frac{e \ln \left(\left(b x +a \right)^{p}\right)}{d^{2} x}-\frac{e^{2} \ln \left(\left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{e^{2} \ln \left(x \right) \ln \left(\left(b x +a \right)^{p}\right)}{d^{3}}-\frac{\ln \left(c \right)}{2 d \,x^{2}}-\frac{\ln \left(\left(b x +a \right)^{p}\right)}{2 d \,x^{2}}+\frac{e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{3}}+\frac{e \ln \left(c \right)}{d^{2} x}-\frac{e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{2 d^{2} x}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{3}}-\frac{b p}{2 a d x}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{4 d \,x^{2}}-\frac{e^{2} p \ln \left(x \right) \ln \left(\frac{b x +a}{a}\right)}{d^{3}}+\frac{e^{2} p \ln \left(\frac{a e -b d +\left(e x +d \right) b}{a e -b d}\right) \ln \left(e x +d \right)}{d^{3}}-\frac{b e p \ln \left(x \right)}{a \,d^{2}}+\frac{b e p \ln \left(b x +a \right)}{a \,d^{2}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 d^{2} x}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{2 d^{2} x}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)}{4 d \,x^{2}}-\frac{b^{2} p \ln \left(x \right)}{2 a^{2} d}+\frac{b^{2} p \ln \left(b x +a \right)}{2 a^{2} d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 d \,x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2}}{4 d \,x^{2}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{3}}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{3}}{2 d^{2} x}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b x +a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b x +a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}"," ",0,"1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*e^2/d^3*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*e^2/d^3*ln(x)+ln((b*x+a)^p)*e/d^2/x-ln((b*x+a)^p)*e^2/d^3*ln(e*x+d)+ln((b*x+a)^p)*e^2/d^3*ln(x)-1/2*ln(c)/d/x^2-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)*e/d^2/x-1/2*ln((b*x+a)^p)/d/x^2+ln(c)*e^2/d^3*ln(x)+ln(c)*e/d^2/x-ln(c)*e^2/d^3*ln(e*x+d)-p*e^2/d^3*dilog((b*x+a)/a)+p*e^2/d^3*dilog((a*e-b*d+(e*x+d)*b)/(a*e-b*d))-1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2/d/x^2-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*e^2/d^3*ln(x)-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*e/d^2/x+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^3*e^2/d^3*ln(e*x+d)-1/4*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)/d/x^2-1/2*b*p/a/d/x-1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*e^2/d^3*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*e/d^2/x+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*e^2/d^3*ln(x)+1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*e/d^2/x-p*e^2/d^3*ln(x)*ln((b*x+a)/a)+p*e^2/d^3*ln(e*x+d)*ln((a*e-b*d+(e*x+d)*b)/(a*e-b*d))+1/2*I*Pi*csgn(I*c*(b*x+a)^p)^2*csgn(I*c)*e^2/d^3*ln(x)-b*e*p*ln(x)/a/d^2+b*e*p*ln(b*x+a)/a/d^2+1/4*I*Pi*csgn(I*c*(b*x+a)^p)^3/d/x^2-1/2*b^2*p*ln(x)/a^2/d+1/2*b^2*p*ln(b*x+a)/a^2/d+1/4*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)*csgn(I*c)/d/x^2-1/2*I*Pi*csgn(I*(b*x+a)^p)*csgn(I*c*(b*x+a)^p)^2*e^2/d^3*ln(e*x+d)","C"
226,1,1083,338,0.331000," ","int(x^3*ln(c*(b*x^2+a)^p)/(e*x+d),x)","-\frac{2 p \,x^{3}}{9 e}+\frac{x^{3} \ln \left(c \right)}{3 e}+\frac{d^{3} p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{e^{4}}+\frac{d^{3} p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{e^{4}}+\frac{d^{3} p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{4}}+\frac{d^{3} p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{d \,x^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 e^{2}}+\frac{d^{2} x \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{e^{3}}-\frac{d^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{4}}+\frac{2 a d p}{3 b \,e^{2}}-\frac{2 d^{2} p x}{e^{3}}+\frac{x^{3} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{3 e}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 e^{3}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4 e^{2}}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{4}}-\frac{d \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{d^{2} x \ln \left(c \right)}{e^{3}}-\frac{a d p \ln \left(a \,e^{2}+b \,d^{2}-2 \left(e x +d \right) b d +\left(e x +d \right)^{2} b \right)}{2 b \,e^{2}}-\frac{2 a^{2} p \arctan \left(\frac{-2 b d +2 \left(e x +d \right) b}{2 \sqrt{a b}\, e}\right)}{3 \sqrt{a b}\, b e}+\frac{2 a \,d^{2} p \arctan \left(\frac{-2 b d +2 \left(e x +d \right) b}{2 \sqrt{a b}\, e}\right)}{\sqrt{a b}\, e^{3}}-\frac{d^{3} \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}-\frac{49 d^{3} p}{18 e^{4}}+\frac{2 a p x}{3 b e}+\frac{d p \,x^{2}}{2 e^{2}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4 e^{2}}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2 e^{3}}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 e}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{6 e}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{6 e}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{6 e}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 e^{2}}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 e^{2}}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e^{3}}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e^{3}}"," ",0,"-2/9/e*p*x^3+1/3/e*x^3*ln(c)+p/e^4*d^3*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p/e^4*d^3*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))-1/2*ln((b*x^2+a)^p)/e^2*x^2*d+ln((b*x^2+a)^p)/e^3*x*d^2-ln((b*x^2+a)^p)*d^3/e^4*ln(e*x+d)+2/3*a/b*d/e^2*p+p/e^4*d^3*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+p/e^4*d^3*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e^3*x*d^2-2*d^2/e^3*p*x+1/3*ln((b*x^2+a)^p)/e*x^3+1/6*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e*x^3+1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e^2*x^2*d-1/2*d/e^2*x^2*ln(c)+d^2/e^3*x*ln(c)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*d^3/e^4*ln(e*x+d)-1/2/b*p/e^2*a*d*ln(b*(e*x+d)^2-2*(e*x+d)*b*d+a*e^2+b*d^2)-2/3/b*p/e*a^2/(a*b)^(1/2)*arctan(1/2*(2*(e*x+d)*b-2*b*d)/e/(a*b)^(1/2))+2*p/e^3*a/(a*b)^(1/2)*arctan(1/2*(2*(e*x+d)*b-2*b*d)/e/(a*b)^(1/2))*d^2-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e^3*x*d^2+1/6*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e*x^3+1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e^2*x^2*d-d^3/e^4*ln(c)*ln(e*x+d)-49/18*d^3/e^4*p+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*d^3/e^4*ln(e*x+d)+2/3*a/b/e*p*x-1/6*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e*x^3-1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e^2*x^2*d+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e^3*x*d^2-1/6*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e*x^3+1/2*d/e^2*p*x^2+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e^3*x*d^2-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*d^3/e^4*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*d^3/e^4*ln(e*x+d)-1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e^2*x^2*d","C"
227,1,825,273,0.306000," ","int(x^2*ln(c*(b*x^2+a)^p)/(e*x+d),x)","-\frac{d^{2} p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{d^{2} p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{p \,x^{2}}{2 e}+\frac{x^{2} \ln \left(c \right)}{2 e}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{3}}+\frac{a p \ln \left(a \,e^{2}+b \,d^{2}-2 \left(e x +d \right) b d +\left(e x +d \right)^{2} b \right)}{2 b e}-\frac{d^{2} p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{e^{3}}-\frac{d^{2} p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{e^{3}}+\frac{d^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{3}}-\frac{d x \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{e^{2}}+\frac{5 d^{2} p}{2 e^{3}}+\frac{x^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 e}+\frac{2 d p x}{e^{2}}-\frac{2 a d p \arctan \left(\frac{-2 b d +2 \left(e x +d \right) b}{2 \sqrt{a b}\, e}\right)}{\sqrt{a b}\, e^{2}}-\frac{d x \ln \left(c \right)}{e^{2}}+\frac{d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}+\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 e^{2}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4 e}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 e}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 e}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  d x \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2 e^{2}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4 e}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}-\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e^{2}}-\frac{i \pi  d x \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e^{2}}"," ",0,"-p/e^3*d^2*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-p/e^3*d^2*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))-1/2/e*p*x^2-1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e*x^2+1/2/e*x^2*ln(c)+1/2/b*p/e*a*ln(a*e^2+b*d^2-2*(e*x+d)*b*d+(e*x+d)^2*b)+ln((b*x^2+a)^p)*d^2/e^3*ln(e*x+d)-ln((b*x^2+a)^p)/e^2*x*d+5/2*d^2/e^3*p+1/2*ln((b*x^2+a)^p)/e*x^2+2*d/e^2*p*x-2*p/e^2*a*d/(a*b)^(1/2)*arctan(1/2*(-2*b*d+2*(e*x+d)*b)/(a*b)^(1/2)/e)-d/e^2*x*ln(c)+d^2/e^3*ln(c)*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e^2*x*d+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*d^2/e^3*ln(e*x+d)-p/e^3*d^2*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-p/e^3*d^2*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*d^2/e^3*ln(e*x+d)+1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e*x^2-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*d^2/e^3*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e^2*x*d+1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e*x^2+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e^2*x*d-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e^2*x*d-1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e*x^2+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*d^2/e^3*ln(e*x+d)","C"
228,1,576,220,0.314000," ","int(x*ln(c*(b*x^2+a)^p)/(e*x+d),x)","\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  d \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  d \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 e}+\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 e}-\frac{i \pi  x \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2 e}+\frac{2 a p \arctan \left(\frac{-2 b d +2 \left(e x +d \right) b}{2 \sqrt{a b}\, e}\right)}{\sqrt{a b}\, e}+\frac{d p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{d p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e^{2}}+\frac{d p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{e^{2}}+\frac{d p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{e^{2}}-\frac{d \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}-\frac{d \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{2}}-\frac{2 p x}{e}+\frac{x \ln \left(c \right)}{e}+\frac{x \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{e}-\frac{2 d p}{e^{2}}"," ",0,"ln((b*x^2+a)^p)/e*x-ln((b*x^2+a)^p)*d/e^2*ln(e*x+d)-2/e*p*x-2*d/e^2*p+2*p/e*a/(a*b)^(1/2)*arctan(1/2*(-2*b*d+2*(e*x+d)*b)/(a*b)^(1/2)/e)+p/e^2*d*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p/e^2*d*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+p/e^2*d*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p/e^2*d*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/e*x-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*d/e^2*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*d/e^2*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/e*x+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/e*x-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/e*x+1/e*x*ln(c)-d/e^2*ln(c)*ln(e*x+d)","C"
229,1,366,173,0.104000," ","int(ln(c*(b*x^2+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e}-\frac{p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{e}-\frac{p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{e}-\frac{p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"ln(e*x+d)/e*ln((b*x^2+a)^p)-1/e*p*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))*ln(e*x+d)-1/e*p*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))*ln(e*x+d)-p/e*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-p/e*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2-1/2*I*ln(e*x+d)/e*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)-1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^2+a)^p)^3+1/2*I*ln(e*x+d)/e*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)+1/e*ln(c)*ln(e*x+d)","C"
230,1,624,215,0.248000," ","int(ln(c*(b*x^2+a)^p)/x/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{p \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}-\frac{p \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}+\frac{p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d}+\frac{p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d}-\frac{p \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}-\frac{p \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}+\frac{p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{d}+\frac{p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{d}+\frac{\ln \left(c \right) \ln \left(x \right)}{d}-\frac{\ln \left(c \right) \ln \left(e x +d \right)}{d}+\frac{\ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{d}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{d}"," ",0,"ln((b*x^2+a)^p)/d*ln(x)-ln((b*x^2+a)^p)/d*ln(e*x+d)-p/d*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p/d*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p/d*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p/d*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+p/d*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p/d*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+p/d*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p/d*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/d*ln(x)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/d*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/d*ln(x)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/d*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/d*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/d*ln(e*x+d)+1/d*ln(c)*ln(x)-1/d*ln(c)*ln(e*x+d)","C"
231,1,831,266,0.280000," ","int(ln(c*(b*x^2+a)^p)/x^2/(e*x+d),x)","-\frac{\ln \left(c \right)}{d x}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{d x}-\frac{e p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{d^{2}}-\frac{e p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{d^{2}}+\frac{e p \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{2}}+\frac{e p \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{2}}+\frac{e \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{e \ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{d^{2}}+\frac{2 b p \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, d}+\frac{e p \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{2}}+\frac{e p \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{2}}+\frac{e \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}-\frac{e \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{2}}-\frac{e p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{e p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 d x}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2 d x}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 d x}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 d x}"," ",0,"1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/d/x-1/d/x*ln(c)-ln((b*x^2+a)^p)/d/x+ln((b*x^2+a)^p)*e/d^2*ln(e*x+d)-ln((b*x^2+a)^p)*e/d^2*ln(x)+2*b*p/d/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)+p*e/d^2*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+p*e/d^2*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e/d^2*ln(x)+1/d^2*e*ln(c)*ln(e*x+d)-1/d^2*e*ln(c)*ln(x)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/d/x-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*e/d^2*ln(e*x+d)-p*e/d^2*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-p*e/d^2*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+p*e/d^2*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+p*e/d^2*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/d/x+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*e/d^2*ln(x)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/d/x-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e/d^2*ln(x)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e/d^2*ln(x)-p*e/d^2*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))-p*e/d^2*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e/d^2*ln(e*x+d)","C"
232,1,1071,327,0.276000," ","int(ln(c*(b*x^2+a)^p)/x^3/(e*x+d),x)","\frac{e^{2} \ln \left(x \right) \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{d^{3}}+\frac{e \ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{d^{2} x}-\frac{e^{2} \ln \left(\left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{e^{2} p \dilog \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right)}{d^{3}}-\frac{\ln \left(\left(b \,x^{2}+a \right)^{p}\right)}{2 d \,x^{2}}+\frac{e^{2} p \dilog \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right)}{d^{3}}-\frac{\ln \left(c \right)}{2 d \,x^{2}}-\frac{2 b e p \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, d^{2}}-\frac{e^{2} p \dilog \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{3}}+\frac{e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{3}}+\frac{e \ln \left(c \right)}{d^{2} x}-\frac{e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right) \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{2 d^{2} x}-\frac{e^{2} p \dilog \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 d^{2} x}-\frac{e^{2} p \ln \left(x \right) \ln \left(\frac{-b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{3}}-\frac{e^{2} p \ln \left(x \right) \ln \left(\frac{b x +\sqrt{-a b}}{\sqrt{-a b}}\right)}{d^{3}}+\frac{e^{2} p \ln \left(\frac{b d -\left(e x +d \right) b +\sqrt{-a b}\, e}{b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{e^{2} p \ln \left(\frac{-b d +\left(e x +d \right) b +\sqrt{-a b}\, e}{-b d +\sqrt{-a b}\, e}\right) \ln \left(e x +d \right)}{d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{3}}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{2 d^{2} x}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 d \,x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{4 d \,x^{2}}+\frac{b p \ln \left(x \right)}{a d}-\frac{b p \ln \left(b \,x^{2}+a \right)}{2 a d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{3}}{4 d \,x^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)^{2}}{2 d^{2} x}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{2}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{2}+a \right)^{p}\right)}{4 d \,x^{2}}"," ",0,"ln((b*x^2+a)^p)*e^2/d^3*ln(x)+ln((b*x^2+a)^p)*e/d^2/x-ln((b*x^2+a)^p)*e^2/d^3*ln(e*x+d)-p*e^2/d^3*dilog((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+p*e^2/d^3*dilog((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p*e^2/d^3*dilog((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))-p*e^2/d^3*dilog((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2*ln((b*x^2+a)^p)/d/x^2-1/2/d/x^2*ln(c)-2*b*p/d^2*e/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)-1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2/d/x^2+1/d^3*e^2*ln(c)*ln(x)+1/d^2*e/x*ln(c)-1/d^3*e^2*ln(c)*ln(e*x+d)-1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)/d/x^2-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e^2/d^3*ln(x)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e/d^2/x-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*e^2/d^3*ln(x)+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*e^2/d^3*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^3*e/d^2/x+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)*e^2/d^3*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e^2/d^3*ln(e*x+d)+1/4*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)*csgn(I*c)/d/x^2-1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e^2/d^3*ln(e*x+d)-p*e^2/d^3*ln(x)*ln((-b*x+(-a*b)^(1/2))/(-a*b)^(1/2))-p*e^2/d^3*ln(x)*ln((b*x+(-a*b)^(1/2))/(-a*b)^(1/2))+p*e^2/d^3*ln(e*x+d)*ln((b*d-(e*x+d)*b+(-a*b)^(1/2)*e)/(b*d+(-a*b)^(1/2)*e))+p*e^2/d^3*ln(e*x+d)*ln((-b*d+(e*x+d)*b+(-a*b)^(1/2)*e)/(-b*d+(-a*b)^(1/2)*e))+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e^2/d^3*ln(x)+1/4*I*Pi*csgn(I*c*(b*x^2+a)^p)^3/d/x^2+1/a*b/d*p*ln(x)-1/2*b*p*ln(b*x^2+a)/a/d+1/2*I*Pi*csgn(I*c*(b*x^2+a)^p)^2*csgn(I*c)*e/d^2/x+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e^2/d^3*ln(x)+1/2*I*Pi*csgn(I*(b*x^2+a)^p)*csgn(I*c*(b*x^2+a)^p)^2*e/d^2/x","C"
233,1,912,554,0.560000," ","int(x^3*ln(c*(b*x^3+a)^p)/(e*x+d),x)","-\frac{p \,x^{3}}{3 e}+\frac{x^{3} \ln \left(c \right)}{3 e}+\frac{d^{3} p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{e^{4}}-\frac{d^{3} \ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{4}}-\frac{d \,x^{2} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{2 e^{2}}+\frac{d^{2} x \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{e^{3}}-\frac{3 d^{2} p x}{e^{3}}+\frac{x^{3} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{3 e}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2 e^{3}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4 e^{2}}-\frac{d \,x^{2} \ln \left(c \right)}{2 e^{2}}+\frac{d^{2} x \ln \left(c \right)}{e^{3}}-\frac{d^{3} \ln \left(c \right) \ln \left(e x +d \right)}{e^{4}}-\frac{49 d^{3} p}{12 e^{4}}+\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{2} x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2 e^{3}}+\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4 e^{2}}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{6 e}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{6 e}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  \,d^{3} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{4}}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 e^{2}}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e^{3}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{6 e}+\frac{3 d p \,x^{2}}{4 e^{2}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{6 e}+\frac{i \pi  \,d^{2} x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e^{3}}-\frac{i \pi  d \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 e^{2}}+\frac{a p \left(2 \RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)^{2}-7 \RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right) d +11 d^{2}\right) \ln \left(e x -\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)+d \right)}{6 b e \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right) d +d^{2}\right)}"," ",0,"-1/3/e*p*x^3+1/3/e*x^3*ln(c)+1/6/b*p/e*a*sum((2*_R^2-7*_R*d+11*d^2)/(_R^2-2*_R*d+d^2)*ln(e*x-_R+d),_R=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))-ln((b*x^3+a)^p)*d^3/e^4*ln(e*x+d)-1/2*ln((b*x^3+a)^p)/e^2*x^2*d+ln((b*x^3+a)^p)/e^3*x*d^2+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*d^3/e^4*ln(e*x+d)-3*d^2/e^3*p*x+p/e^4*d^3*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+1/3*ln((b*x^3+a)^p)/e*x^3-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e^3*x*d^2+1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e^2*x^2*d+1/6*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e*x^3+1/6*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e*x^3+1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e^2*x^2*d-1/2*d/e^2*x^2*ln(c)+d^2/e^3*x*ln(c)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*d^3/e^4*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e^3*x*d^2-d^3/e^4*ln(c)*ln(e*x+d)-49/12*d^3/e^4*p-1/6*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e*x^3-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*d^3/e^4*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*d^3/e^4*ln(e*x+d)-1/6*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e*x^3+3/4*d/e^2*p*x^2-1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e^2*x^2*d+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e^3*x*d^2+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e^3*x*d^2-1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e^2*x^2*d","C"
234,1,704,509,0.543000," ","int(x^2*ln(c*(b*x^3+a)^p)/(e*x+d),x)","\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 e}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{3}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4 e}-\frac{i \pi  d x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e^{2}}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}-\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 e}-\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e^{2}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4 e}+\frac{i \pi  \,d^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{3}}+\frac{i \pi  d x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2 e^{2}}+\frac{i \pi  d x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2 e^{2}}+\frac{a p \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-3 d \right) \ln \left(e x -\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)+d \right)}{2 b \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right) d +d^{2}\right)}-\frac{3 p \,x^{2}}{4 e}+\frac{x^{2} \ln \left(c \right)}{2 e}+\frac{x^{2} \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{2 e}-\frac{d^{2} p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{e^{3}}+\frac{d^{2} \ln \left(c \right) \ln \left(e x +d \right)}{e^{3}}+\frac{d^{2} \ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{3}}+\frac{3 d p x}{e^{2}}-\frac{d x \ln \left(c \right)}{e^{2}}-\frac{d x \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{e^{2}}+\frac{15 d^{2} p}{4 e^{3}}"," ",0,"1/2*ln((b*x^3+a)^p)/e*x^2-ln((b*x^3+a)^p)/e^2*x*d+ln((b*x^3+a)^p)*d^2/e^3*ln(e*x+d)-p/e^3*d^2*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))-3/4/e*p*x^2+3*d/e^2*p*x+15/4*d^2/e^3*p+1/2/b*p*a*sum((_R-3*d)/(_R^2-2*_R*d+d^2)*ln(e*x-_R+d),_R=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e*x^2-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*d^2/e^3*ln(e*x+d)-1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e*x^2-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e^2*x*d+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*d^2/e^3*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*d^2/e^3*ln(e*x+d)+1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e*x^2-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e^2*x*d+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*d^2/e^3*ln(e*x+d)-1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e*x^2+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e^2*x*d+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e^2*x*d+1/2/e*x^2*ln(c)-d/e^2*x*ln(c)+d^2/e^3*ln(c)*ln(e*x+d)","C"
235,1,500,366,0.539000," ","int(x*ln(c*(b*x^3+a)^p)/(e*x+d),x)","\frac{a e p \ln \left(e x -\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)+d \right)}{b \left(\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)^{2}-2 \RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right) d +d^{2}\right)}-\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2 e}+\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e}-\frac{i \pi  d \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  d \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e^{2}}-\frac{i \pi  d \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e^{2}}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 e}-\frac{i \pi  x \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2 e}+\frac{d p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{e^{2}}-\frac{d \ln \left(c \right) \ln \left(e x +d \right)}{e^{2}}-\frac{d \ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{e^{2}}-\frac{3 p x}{e}+\frac{x \ln \left(c \right)}{e}+\frac{x \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{e}-\frac{3 d p}{e^{2}}"," ",0,"ln((b*x^3+a)^p)/e*x-ln((b*x^3+a)^p)*d/e^2*ln(e*x+d)-3/e*p*x-3*d/e^2*p+1/b*p*e*a*sum(1/(_R^2-2*_R*d+d^2)*ln(e*x-_R+d),_R=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+p/e^2*d*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/e*x+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/e*x-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*d/e^2*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*d/e^2*ln(e*x+d)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/e*x-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/e*x+1/e*x*ln(c)-d/e^2*ln(c)*ln(e*x+d)","C"
236,1,261,252,0.094000," ","int(ln(c*(b*x^3+a)^p)/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 e}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 e}-\frac{p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{e}+\frac{\ln \left(c \right) \ln \left(e x +d \right)}{e}+\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{e}"," ",0,"1/e*ln((b*x^3+a)^p)*ln(e*x+d)-p/e*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+1/2*I*Pi/e*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*ln(e*x+d)-1/2*I*Pi/e*csgn(I*c)*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*ln(e*x+d)-1/2*I*Pi/e*csgn(I*c*(b*x^3+a)^p)^3*ln(e*x+d)+1/2*I*Pi/e*csgn(I*c)*csgn(I*c*(b*x^3+a)^p)^2*ln(e*x+d)+1/e*ln(c)*ln(e*x+d)","C"
237,1,461,292,0.488000," ","int(ln(c*(b*x^3+a)^p)/x/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(x \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d}-\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d}-\frac{p \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)+\dilog \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)\right)}{d}+\frac{p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{d}+\frac{\ln \left(c \right) \ln \left(x \right)}{d}-\frac{\ln \left(c \right) \ln \left(e x +d \right)}{d}+\frac{\ln \left(x \right) \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{d}-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{d}"," ",0,"ln((b*x^3+a)^p)/d*ln(x)-ln((b*x^3+a)^p)/d*ln(e*x+d)-p/d*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^3*b+a))+p/d*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/d*ln(x)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/d*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/d*ln(x)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/d*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/d*ln(x)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/d*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/d*ln(x)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/d*ln(e*x+d)+1/d*ln(c)*ln(x)-1/d*ln(c)*ln(e*x+d)","C"
238,1,732,415,0.493000," ","int(ln(c*(b*x^3+a)^p)/x^2/(e*x+d),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 d x}+\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 d x}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}-\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2 d x}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{2}}+\frac{\sqrt{3}\, p \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} d}-\frac{p \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} d}+\frac{p \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} d}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2 d x}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(x \right)}{2 d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{2}}+\frac{e p \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)+\dilog \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)\right)}{d^{2}}-\frac{e p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{d^{2}}-\frac{e \ln \left(c \right) \ln \left(x \right)}{d^{2}}+\frac{e \ln \left(c \right) \ln \left(e x +d \right)}{d^{2}}-\frac{e \ln \left(x \right) \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{d^{2}}+\frac{e \ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{d^{2}}-\frac{\ln \left(c \right)}{d x}-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{d x}"," ",0,"-ln((b*x^3+a)^p)/d/x-ln((b*x^3+a)^p)*e/d^2*ln(x)+ln((b*x^3+a)^p)*e/d^2*ln(e*x+d)-p*e/d^2*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))-p/d/(a/b)^(1/3)*ln(x+(a/b)^(1/3))+1/2*p/d/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+p/d*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))+p*e/d^2*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^3*b+a))-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/d/x+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*e/d^2*ln(x)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/d/x-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*e/d^2*ln(e*x+d)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*e/d^2*ln(x)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*e/d^2*ln(x)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/d/x-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*e/d^2*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/d/x+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*e/d^2*ln(x)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*e/d^2*ln(e*x+d)-1/d/x*ln(c)-1/d^2*e*ln(c)*ln(x)+1/d^2*e*ln(c)*ln(e*x+d)","C"
239,1,1025,538,0.495000," ","int(ln(c*(b*x^3+a)^p)/x^3/(e*x+d),x)","-\frac{e^{2} p \left(\ln \left(x \right) \ln \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)+\dilog \left(\frac{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)-x}{\RootOf \left(b \,\textit{\_Z}^{3}+a \right)}\right)\right)}{d^{3}}+\frac{e^{2} p \left(\ln \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right) \ln \left(e x +d \right)+\dilog \left(\frac{-e x +\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)-d}{\RootOf \left(b \,\textit{\_Z}^{3}-3 \textit{\_Z}^{2} b d +3 \textit{\_Z} b \,d^{2}+a \,e^{3}-b \,d^{3}\right)}\right)\right)}{d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}-\frac{e^{2} \ln \left(\left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{d^{3}}+\frac{e^{2} \ln \left(x \right) \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{d^{3}}+\frac{e \ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{d^{2} x}-\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{2 d^{2} x}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(e x +d \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right) \ln \left(x \right)}{2 d^{3}}+\frac{p \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} d}-\frac{p \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{4 \left(\frac{a}{b}\right)^{\frac{2}{3}} d}-\frac{\ln \left(c \right)}{2 d \,x^{2}}-\frac{\ln \left(\left(b \,x^{3}+a \right)^{p}\right)}{2 d \,x^{2}}+\frac{e^{2} \ln \left(c \right) \ln \left(x \right)}{d^{3}}+\frac{e \ln \left(c \right)}{d^{2} x}-\frac{e^{2} \ln \left(c \right) \ln \left(e x +d \right)}{d^{3}}-\frac{\sqrt{3}\, e p \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} d^{2}}-\frac{e p \ln \left(x^{2}-\left(\frac{a}{b}\right)^{\frac{1}{3}} x +\left(\frac{a}{b}\right)^{\frac{2}{3}}\right)}{2 \left(\frac{a}{b}\right)^{\frac{1}{3}} d^{2}}+\frac{\sqrt{3}\, p \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{a}{b}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{2 \left(\frac{a}{b}\right)^{\frac{2}{3}} d}+\frac{e p \ln \left(x +\left(\frac{a}{b}\right)^{\frac{1}{3}}\right)}{\left(\frac{a}{b}\right)^{\frac{1}{3}} d^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 d^{2} x}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(e x +d \right)}{2 d^{3}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)}{4 d \,x^{2}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2} \ln \left(x \right)}{2 d^{3}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{4 d \,x^{2}}+\frac{i \pi  e \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{2 d^{2} x}-\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(x \right)}{2 d^{3}}-\frac{i \pi  e \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3}}{2 d^{2} x}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 d \,x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(b \,x^{3}+a \right)^{p}\right) \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{2}}{4 d \,x^{2}}+\frac{i \pi  \,e^{2} \mathrm{csgn}\left(i c \left(b \,x^{3}+a \right)^{p}\right)^{3} \ln \left(e x +d \right)}{2 d^{3}}"," ",0,"-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*e^2/d^3*ln(x)-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*e/d^2/x-ln((b*x^3+a)^p)*e^2/d^3*ln(e*x+d)+ln((b*x^3+a)^p)*e^2/d^3*ln(x)+ln((b*x^3+a)^p)*e/d^2/x-1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)/d/x^2-1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2/d/x^2+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^3*e^2/d^3*ln(e*x+d)+1/2*p/d/(a/b)^(2/3)*ln(x+(a/b)^(1/3))-1/4*p/d/(a/b)^(2/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))-p*e^2/d^3*sum(ln(x)*ln((_R1-x)/_R1)+dilog((_R1-x)/_R1),_R1=RootOf(_Z^3*b+a))+p*e^2/d^3*sum(ln((-e*x+_R1-d)/_R1)*ln(e*x+d)+dilog((-e*x+_R1-d)/_R1),_R1=RootOf(_Z^3*b-3*_Z^2*b*d+3*_Z*b*d^2+a*e^3-b*d^3))-1/2/d/x^2*ln(c)-1/2*ln((b*x^3+a)^p)/d/x^2+1/d^3*e^2*ln(c)*ln(x)+1/d^2*e/x*ln(c)-1/d^3*e^2*ln(c)*ln(e*x+d)-p/d^2*e*3^(1/2)/(a/b)^(1/3)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*e^2/d^3*ln(e*x+d)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*e^2/d^3*ln(x)-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)*e/d^2/x-1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*e^2/d^3*ln(e*x+d)+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*e/d^2/x+1/4*I*Pi*csgn(I*c*(b*x^3+a)^p)^3/d/x^2+1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*e^2/d^3*ln(x)-1/2*p/d^2*e/(a/b)^(1/3)*ln(x^2-(a/b)^(1/3)*x+(a/b)^(2/3))+1/2*p/d/(a/b)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(a/b)^(1/3)*x-1))+p/d^2*e/(a/b)^(1/3)*ln(x+(a/b)^(1/3))-1/2*I*Pi*csgn(I*c*(b*x^3+a)^p)^2*csgn(I*c)*e^2/d^3*ln(e*x+d)+1/4*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)*csgn(I*c)/d/x^2+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*e^2/d^3*ln(x)+1/2*I*Pi*csgn(I*(b*x^3+a)^p)*csgn(I*c*(b*x^3+a)^p)^2*e/d^2/x","C"
240,0,0,283,0.430000," ","int(x^3*ln(c*(a+b/x)^p)/(e*x+d),x)","\int \frac{x^{3} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^3*ln(c*(a+b/x)^p)/(e*x+d),x)","F"
241,0,0,213,0.401000," ","int(x^2*ln(c*(a+b/x)^p)/(e*x+d),x)","\int \frac{x^{2} \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^2*ln(c*(a+b/x)^p)/(e*x+d),x)","F"
242,0,0,151,0.424000," ","int(x*ln(c*(a+b/x)^p)/(e*x+d),x)","\int \frac{x \ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x*ln(c*(a+b/x)^p)/(e*x+d),x)","F"
243,0,0,113,0.063000," ","int(1/(e*x+d)*ln(c*(a+b/x)^p),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(1/(e*x+d)*ln(c*(a+b/x)^p),x)","F"
244,0,0,159,0.417000," ","int(ln(c*(a+b/x)^p)/x/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right) x}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x/(e*x+d),x)","F"
245,0,0,198,0.408000," ","int(ln(c*(a+b/x)^p)/x^2/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right) x^{2}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x^2/(e*x+d),x)","F"
246,0,0,279,0.426000," ","int(ln(c*(a+b/x)^p)/x^3/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x}\right)^{p}\right)}{\left(e x +d \right) x^{3}}\, dx"," ",0,"int(ln(c*(a+b/x)^p)/x^3/(e*x+d),x)","F"
247,0,0,367,0.420000," ","int(x^3*ln(c*(a+b/x^2)^p)/(e*x+d),x)","\int \frac{x^{3} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^3*ln(c*(a+b/x^2)^p)/(e*x+d),x)","F"
248,0,0,313,0.445000," ","int(x^2*ln(c*(a+b/x^2)^p)/(e*x+d),x)","\int \frac{x^{2} \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^2*ln(c*(a+b/x^2)^p)/(e*x+d),x)","F"
249,0,0,255,0.448000," ","int(x*ln(c*(a+b/x^2)^p)/(e*x+d),x)","\int \frac{x \ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x*ln(c*(a+b/x^2)^p)/(e*x+d),x)","F"
250,0,0,213,0.423000," ","int(ln(c*(a+b/x^2)^p)/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/(e*x+d),x)","F"
251,0,0,255,0.418000," ","int(ln(c*(a+b/x^2)^p)/x/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{\left(e x +d \right) x}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x/(e*x+d),x)","F"
252,0,0,317,0.418000," ","int(ln(c*(a+b/x^2)^p)/x^2/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{\left(e x +d \right) x^{2}}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x^2/(e*x+d),x)","F"
253,0,0,370,0.410000," ","int(ln(c*(a+b/x^2)^p)/x^3/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{2}}\right)^{p}\right)}{\left(e x +d \right) x^{3}}\, dx"," ",0,"int(ln(c*(a+b/x^2)^p)/x^3/(e*x+d),x)","F"
254,0,0,578,0.458000," ","int(x^3*ln(c*(a+b/x^3)^p)/(e*x+d),x)","\int \frac{x^{3} \ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^3*ln(c*(a+b/x^3)^p)/(e*x+d),x)","F"
255,0,0,534,0.421000," ","int(x^2*ln(c*(a+b/x^3)^p)/(e*x+d),x)","\int \frac{x^{2} \ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x^2*ln(c*(a+b/x^3)^p)/(e*x+d),x)","F"
256,0,0,397,0.415000," ","int(x*ln(c*(a+b/x^3)^p)/(e*x+d),x)","\int \frac{x \ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(x*ln(c*(a+b/x^3)^p)/(e*x+d),x)","F"
257,0,0,288,0.409000," ","int(ln(c*(a+b/x^3)^p)/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{e x +d}\, dx"," ",0,"int(ln(c*(a+b/x^3)^p)/(e*x+d),x)","F"
258,0,0,328,0.415000," ","int(ln(c*(a+b/x^3)^p)/x/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{\left(e x +d \right) x}\, dx"," ",0,"int(ln(c*(a+b/x^3)^p)/x/(e*x+d),x)","F"
259,0,0,462,0.433000," ","int(ln(c*(a+b/x^3)^p)/x^2/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{\left(e x +d \right) x^{2}}\, dx"," ",0,"int(ln(c*(a+b/x^3)^p)/x^2/(e*x+d),x)","F"
260,0,0,599,0.420000," ","int(ln(c*(a+b/x^3)^p)/x^3/(e*x+d),x)","\int \frac{\ln \left(c \left(a +\frac{b}{x^{3}}\right)^{p}\right)}{\left(e x +d \right) x^{3}}\, dx"," ",0,"int(ln(c*(a+b/x^3)^p)/x^3/(e*x+d),x)","F"
261,1,327,517,0.775000," ","int(ln(c*(e*x^3+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{3}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{3}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}}+\frac{\arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{p \left(\ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right) \ln \left(e \,x^{3}+d \right)-\ln \left(\frac{\RootOf \left(\textit{\_Z}^{3} e g +3 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z}^{2} e g -3 \textit{\_Z} e f -e f \RootOf \left(g \,\textit{\_Z}^{2}+f \right)+d g \right)+\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x}{\RootOf \left(\textit{\_Z}^{3} e g +3 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z}^{2} e g -3 \textit{\_Z} e f -e f \RootOf \left(g \,\textit{\_Z}^{2}+f \right)+d g \right)}\right) \ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right)-\dilog \left(\frac{\RootOf \left(\textit{\_Z}^{3} e g +3 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z}^{2} e g -3 \textit{\_Z} e f -e f \RootOf \left(g \,\textit{\_Z}^{2}+f \right)+d g \right)+\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x}{\RootOf \left(\textit{\_Z}^{3} e g +3 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z}^{2} e g -3 \textit{\_Z} e f -e f \RootOf \left(g \,\textit{\_Z}^{2}+f \right)+d g \right)}\right)\right)}{2 g \RootOf \left(g \,\textit{\_Z}^{2}+f \right)}+\frac{\left(-p \ln \left(e \,x^{3}+d \right)+\ln \left(\left(e \,x^{3}+d \right)^{p}\right)\right) \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"(ln((e*x^3+d)^p)-p*ln(e*x^3+d))/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*p/g*sum(1/_alpha*(ln(x-_alpha)*ln(e*x^3+d)-sum(ln(x-_alpha)*ln((_R1-x+_alpha)/_R1)+dilog((_R1-x+_alpha)/_R1),_R1=RootOf(_Z^3*e*g+3*_Z^2*_alpha*e*g-3*_Z*e*f-_alpha*e*f+d*g))),_alpha=RootOf(_Z^2*g+f))+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)^2-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^3+d)^p)*csgn(I*c*(e*x^3+d)^p)*csgn(I*c)-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^3+d)^p)^3+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^3+d)^p)^2*csgn(I*c)+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*ln(c)","C"
262,1,504,380,1.477000," ","int(ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}}+\frac{\arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{p \left(\ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right) \ln \left(e \,x^{2}+d \right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right)\right)}{2 g \RootOf \left(g \,\textit{\_Z}^{2}+f \right)}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"(ln((e*x^2+d)^p)-p*ln(e*x^2+d))/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*p/g*sum(1/_alpha*(ln(-_alpha+x)*ln(e*x^2+d)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2))),_alpha=RootOf(_Z^2*g+f))+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^2+d)^p)^3+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*ln(c)","C"
263,1,419,177,0.668000," ","int(ln(c*(e*x+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e x +d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{p}\right)}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e x +d \right)^{p}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e x +d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{p}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e x +d \right)^{p}\right)^{3}}{2 \sqrt{f g}}+\frac{p \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}}-\frac{p \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e x +d \right)}{2 \sqrt{-f g}}+\frac{p \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e x +d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}}-\frac{p \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e x +d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 \sqrt{-f g}}+\frac{\arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{\left(-p \ln \left(e x +d \right)+\ln \left(\left(e x +d \right)^{p}\right)\right) \arctan \left(\frac{-2 d g +2 \left(e x +d \right) g}{2 \sqrt{f g}\, e}\right)}{\sqrt{f g}}"," ",0,"(ln((e*x+d)^p)-p*ln(e*x+d))/(f*g)^(1/2)*arctan(1/2*(-2*d*g+2*(e*x+d)*g)/(f*g)^(1/2)/e)+1/2*p*ln(e*x+d)/(-f*g)^(1/2)*ln((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*p*ln(e*x+d)/(-f*g)^(1/2)*ln((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*p/(-f*g)^(1/2)*dilog((d*g+(-f*g)^(1/2)*e-(e*x+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2*p/(-f*g)^(1/2)*dilog((-d*g+(-f*g)^(1/2)*e+(e*x+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x+d)^p)*csgn(I*c*(e*x+d)^p)^2-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x+d)^p)*csgn(I*c*(e*x+d)^p)*csgn(I*c)-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x+d)^p)^3+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x+d)^p)^2*csgn(I*c)+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*ln(c)","C"
264,0,0,256,0.475000," ","int(ln(c*(d+e/x)^p)/(g*x^2+f),x)","\int \frac{\ln \left(c \left(d +\frac{e}{x}\right)^{p}\right)}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(d+e/x)^p)/(g*x^2+f),x)","F"
265,0,0,424,0.421000," ","int(ln(c*(d+e/x^2)^p)/(g*x^2+f),x)","\int \frac{\ln \left(c \left(d +\frac{e}{x^{2}}\right)^{p}\right)}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(d+e/x^2)^p)/(g*x^2+f),x)","F"
266,0,0,401,0.402000," ","int(ln(c*(e*x^(1/2)+d)^p)/(g*x^2+f),x)","\int \frac{\ln \left(c \left(e \sqrt{x}+d \right)^{p}\right)}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(e*x^(1/2)+d)^p)/(g*x^2+f),x)","F"
267,0,0,417,0.407000," ","int(ln(c*(d+e/x^(1/2))^p)/(g*x^2+f),x)","\int \frac{\ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{p}\right)}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(d+e/x^(1/2))^p)/(g*x^2+f),x)","F"
268,1,995,282,0.520000," ","int((g*x^2+f)^3*ln(c*(e*x^2+d)^p),x)","\frac{g^{3} x^{7} \ln \left(c \right)}{7}+f^{3} x \ln \left(c \right)-2 f^{3} p x -\frac{2 g^{3} p \,x^{7}}{49}+f^{2} g \,x^{3} \ln \left(c \right)+\frac{3 f \,g^{2} x^{5} \ln \left(c \right)}{5}+\frac{i \pi  \,g^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{i \pi  \,g^{3} x^{7} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\left(\frac{1}{7} g^{3} x^{7}+\frac{3}{5} f \,g^{2} x^{5}+f^{2} g \,x^{3}+f^{3} x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+\frac{\sqrt{-d e}\, f^{3} p \ln \left(-d +\sqrt{-d e}\, x \right)}{e}-\frac{\sqrt{-d e}\, f^{3} p \ln \left(-d -\sqrt{-d e}\, x \right)}{e}-\frac{2 f^{2} g p \,x^{3}}{3}-\frac{6 f \,g^{2} p \,x^{5}}{25}-\frac{3 \sqrt{-d e}\, d^{2} f \,g^{2} p \ln \left(-d -\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{\sqrt{-d e}\, d \,f^{2} g p \ln \left(-d +\sqrt{-d e}\, x \right)}{e^{2}}+\frac{3 \sqrt{-d e}\, d^{2} f \,g^{2} p \ln \left(-d +\sqrt{-d e}\, x \right)}{5 e^{3}}+\frac{\sqrt{-d e}\, d \,f^{2} g p \ln \left(-d -\sqrt{-d e}\, x \right)}{e^{2}}+\frac{2 d^{3} g^{3} p x}{7 e^{3}}-\frac{2 d^{2} g^{3} p \,x^{3}}{21 e^{2}}+\frac{2 d \,g^{3} p \,x^{5}}{35 e}-\frac{3 i \pi  f \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{10}-\frac{i \pi  \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{i \pi  \,f^{3} x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}-\frac{i \pi  \,g^{3} x^{7} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{14}+\frac{\sqrt{-d e}\, d^{3} g^{3} p \ln \left(-d -\sqrt{-d e}\, x \right)}{7 e^{4}}-\frac{\sqrt{-d e}\, d^{3} g^{3} p \ln \left(-d +\sqrt{-d e}\, x \right)}{7 e^{4}}-\frac{i \pi  \,g^{3} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{14}-\frac{3 i \pi  f \,g^{2} x^{5} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{10}-\frac{i \pi  \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{2 d \,f^{2} g p x}{e}-\frac{6 d^{2} f \,g^{2} p x}{5 e^{2}}+\frac{2 d f \,g^{2} p \,x^{3}}{5 e}+\frac{3 i \pi  f \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}+\frac{3 i \pi  f \,g^{2} x^{5} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}+\frac{i \pi  \,f^{2} g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{2} g \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}"," ",0,"1/7*ln(c)*g^3*x^7+ln(c)*f^3*x-2*f^3*p*x-2/49*g^3*p*x^7+ln(c)*f^2*g*x^3+3/5*ln(c)*f*g^2*x^5+(1/7*g^3*x^7+3/5*f*g^2*x^5+f^2*g*x^3+f^3*x)*ln((e*x^2+d)^p)+1/e*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x-d)*f^3-1/e*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x-d)*f^3-1/14*I*Pi*g^3*x^7*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f^3*csgn(I*c*(e*x^2+d)^p)^3*x-2/3*f^2*g*p*x^3-6/25*f*g^2*p*x^5-3/5/e^3*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x-d)*f*g^2*d^2-1/e^2*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x-d)*f^2*g*d+3/5/e^3*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x-d)*f*g^2*d^2+1/e^2*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x-d)*f^2*g*d-1/2*I*Pi*f^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x+1/2*I*Pi*f^2*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/2*I*Pi*f^2*g*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/14*I*Pi*g^3*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3/10*I*Pi*f*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+3/10*I*Pi*f*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+2/7*d^3*g^3*p*x/e^3-2/21*d^2*g^3*p*x^3/e^2+2/35*d*g^3*p*x^5/e-3/10*I*Pi*f*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/2*I*Pi*f^2*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/7/e^4*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x-d)*g^3*d^3-1/7/e^4*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x-d)*g^3*d^3+1/2*I*Pi*f^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x+1/14*I*Pi*g^3*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/2*I*Pi*f^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x+2*d*f^2*g*p*x/e-6/5*d^2*f*g^2*p*x/e^2+2/5*d*f*g^2*p*x^3/e+1/14*I*Pi*g^3*x^7*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3/10*I*Pi*f*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f^2*g*x^3*csgn(I*c*(e*x^2+d)^p)^3","C"
269,1,686,179,0.498000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\frac{g^{2} x^{5} \ln \left(c \right)}{5}+f^{2} x \ln \left(c \right)-2 f^{2} p x -\frac{2 g^{2} p \,x^{5}}{25}+\frac{2 f g \,x^{3} \ln \left(c \right)}{3}+\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}+\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}-\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{3}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{4 f g p \,x^{3}}{9}+\left(\frac{1}{5} g^{2} x^{5}+\frac{2}{3} f g \,x^{3}+f^{2} x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{2 d^{2} g^{2} p x}{5 e^{2}}+\frac{2 d \,g^{2} p \,x^{3}}{15 e}-\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{3}-\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{10}-\frac{i \pi  \,f^{2} x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}-\frac{\sqrt{-d e}\, d^{2} g^{2} p \ln \left(d +\sqrt{-d e}\, x \right)}{5 e^{3}}+\frac{\sqrt{-d e}\, d^{2} g^{2} p \ln \left(d -\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{\sqrt{-d e}\, f^{2} p \ln \left(d +\sqrt{-d e}\, x \right)}{e}+\frac{\sqrt{-d e}\, f^{2} p \ln \left(d -\sqrt{-d e}\, x \right)}{e}+\frac{2 \sqrt{-d e}\, d f g p \ln \left(d +\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{2 \sqrt{-d e}\, d f g p \ln \left(d -\sqrt{-d e}\, x \right)}{3 e^{2}}+\frac{4 d f g p x}{3 e}-\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{10}+\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{3}+\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{3}-\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}"," ",0,"1/5*ln(c)*g^2*x^5+ln(c)*f^2*x-2*f^2*p*x-2/25*g^2*p*x^5+2/3*ln(c)*f*g*x^3-4/9*f*g*p*x^3+(1/5*g^2*x^5+2/3*f*g*x^3+f^2*x)*ln((e*x^2+d)^p)-2/5*d^2*g^2*p*x/e^2+2/15*d*g^2*p*x^3/e-1/3*I*Pi*f*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/5/e^3*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x+d)*g^2*d^2+1/5/e^3*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x+d)*g^2*d^2+1/10*I*Pi*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/10*I*Pi*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/3*I*Pi*f*g*x^3*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x+1/2*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x-1/e*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x+d)*f^2+1/e*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x+d)*f^2-1/10*I*Pi*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^3*x+2/3/e^2*(-d*e)^(1/2)*p*ln((-d*e)^(1/2)*x+d)*d*f*g-2/3/e^2*(-d*e)^(1/2)*p*ln(-(-d*e)^(1/2)*x+d)*d*f*g-1/10*I*Pi*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/3*I*Pi*f*g*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/3*I*Pi*f*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x+4/3*d*f*g*p*x/e","C"
270,1,416,93,0.493000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6}+\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}-\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6}-\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{i \pi  f x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}-\frac{2 g p \,x^{3}}{9}+\frac{g \,x^{3} \ln \left(c \right)}{3}+\frac{2 d g p x}{3 e}-2 f p x +f x \ln \left(c \right)+\frac{\sqrt{-d e}\, d g p \ln \left(-d -\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{\sqrt{-d e}\, d g p \ln \left(-d +\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{\sqrt{-d e}\, f p \ln \left(-d -\sqrt{-d e}\, x \right)}{e}+\frac{\sqrt{-d e}\, f p \ln \left(-d +\sqrt{-d e}\, x \right)}{e}+\left(\frac{1}{3} g \,x^{3}+f x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/3*g*x^3+f*x)*ln((e*x^2+d)^p)-1/6*I*Pi*g*x^3*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^3*x-1/6*I*Pi*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/2*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x+1/6*I*Pi*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x+1/2*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x+1/6*I*Pi*g*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/3*ln(c)*g*x^3-2/9*g*p*x^3+ln(c)*f*x+1/3/e^2*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*d*g-1/e*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*f-1/3/e^2*(-d*e)^(1/2)*p*ln(-d+(-d*e)^(1/2)*x)*d*g+1/e*(-d*e)^(1/2)*p*ln(-d+(-d*e)^(1/2)*x)*f+2/3*d*g*p*x/e-2*f*p*x","C"
271,1,504,380,0.070000," ","int(ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}}+\frac{\arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{p \left(\ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right) \ln \left(e \,x^{2}+d \right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} e g +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right)\right)}{2 g \RootOf \left(g \,\textit{\_Z}^{2}+f \right)}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*p/g*sum(1/_alpha*(ln(-_alpha+x)*ln(e*x^2+d)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2))),_alpha=RootOf(_Z^2*g+f))+1/2*I/(f*g)^(1/2)*Pi*arctan(1/(f*g)^(1/2)*g*x)*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I/(f*g)^(1/2)*Pi*arctan(1/(f*g)^(1/2)*g*x)*csgn(I*c)*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)-1/2*I/(f*g)^(1/2)*Pi*arctan(1/(f*g)^(1/2)*g*x)*csgn(I*c*(e*x^2+d)^p)^3+1/2*I/(f*g)^(1/2)*Pi*arctan(1/(f*g)^(1/2)*g*x)*csgn(I*c)*csgn(I*c*(e*x^2+d)^p)^2+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*ln(c)","C"
272,0,0,546,1.068000," ","int(ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","F"
273,0,0,745,0.749000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)^2,x)","\int \left(g \,x^{2}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)^2,x)","F"
274,0,0,424,1.517000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)^2,x)","\int \left(g \,x^{2}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((g*x^2+f)*ln(c*(e*x^2+d)^p)^2,x)","F"
275,0,0,26,18.029000," ","int(ln(c*(e*x^2+d)^p)^2/(g*x^2+f),x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^2/(g*x^2+f),x)","F"
276,0,0,26,41.744000," ","int(ln(c*(e*x^2+d)^p)^2/(g*x^2+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^2/(g*x^2+f)^2,x)","F"
277,0,0,552,76.675000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)^3,x)","\int \left(g \,x^{2}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}\, dx"," ",0,"int((g*x^2+f)*ln(c*(e*x^2+d)^p)^3,x)","F"
278,0,0,26,4.945000," ","int(ln(c*(e*x^2+d)^p)^3/(g*x^2+f),x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{g \,x^{2}+f}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^3/(g*x^2+f),x)","F"
279,0,0,26,32.637000," ","int(ln(c*(e*x^2+d)^p)^3/(g*x^2+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^3/(g*x^2+f)^2,x)","F"
280,0,0,26,0.840000," ","int((g*x^2+f)^2/ln(c*(e*x^2+d)^p),x)","\int \frac{\left(g \,x^{2}+f \right)^{2}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int((g*x^2+f)^2/ln(c*(e*x^2+d)^p),x)","F"
281,0,0,24,0.568000," ","int((g*x^2+f)/ln(c*(e*x^2+d)^p),x)","\int \frac{g \,x^{2}+f}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int((g*x^2+f)/ln(c*(e*x^2+d)^p),x)","F"
282,0,0,26,0.939000," ","int(1/(g*x^2+f)/ln(c*(e*x^2+d)^p),x)","\int \frac{1}{\left(g \,x^{2}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int(1/(g*x^2+f)/ln(c*(e*x^2+d)^p),x)","F"
283,0,0,26,1.035000," ","int(1/(g*x^2+f)^2/ln(c*(e*x^2+d)^p),x)","\int \frac{1}{\left(g \,x^{2}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int(1/(g*x^2+f)^2/ln(c*(e*x^2+d)^p),x)","F"
284,0,0,26,4.072000," ","int((g*x^2+f)^2/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{\left(g \,x^{2}+f \right)^{2}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int((g*x^2+f)^2/ln(c*(e*x^2+d)^p)^2,x)","F"
285,0,0,24,4.250000," ","int((g*x^2+f)/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{g \,x^{2}+f}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int((g*x^2+f)/ln(c*(e*x^2+d)^p)^2,x)","F"
286,0,0,26,5.280000," ","int(1/(g*x^2+f)/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{1}{\left(g \,x^{2}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/(g*x^2+f)/ln(c*(e*x^2+d)^p)^2,x)","F"
287,0,0,26,4.734000," ","int(1/(g*x^2+f)^2/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{1}{\left(g \,x^{2}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/(g*x^2+f)^2/ln(c*(e*x^2+d)^p)^2,x)","F"
288,1,1311,316,0.711000," ","int((g*x^3+f)^3*ln(c*(e*x^2+d)^p),x)","f^{3} x \ln \left(c \right)+\frac{\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}-\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{7 e^{5}}-\frac{\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}+\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{7 e^{5}}+\frac{3 f \,g^{2} x^{7} \ln \left(c \right)}{7}+\frac{3 f^{2} g \,x^{4} \ln \left(c \right)}{4}-\frac{g^{3} p \,x^{10}}{50}-2 f^{3} p x +\frac{g^{3} x^{10} \ln \left(c \right)}{10}-\frac{3 i \pi  f \,g^{2} x^{7} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{14}-\frac{3 i \pi  \,f^{2} g \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,g^{3} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{20}+\frac{3 i \pi  f \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{3 i \pi  f \,g^{2} x^{7} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{3 i \pi  \,f^{2} g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{3 i \pi  \,f^{2} g \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{3 f^{2} g p \,x^{4}}{8}-\frac{6 f \,g^{2} p \,x^{7}}{49}-\frac{d^{4} g^{3} p \,x^{2}}{10 e^{4}}+\frac{d^{3} g^{3} p \,x^{4}}{20 e^{3}}-\frac{d^{2} g^{3} p \,x^{6}}{30 e^{2}}+\frac{d \,g^{3} p \,x^{8}}{40 e}+\left(\frac{1}{10} g^{3} x^{10}+\frac{3}{7} f \,g^{2} x^{7}+\frac{3}{4} f^{2} g \,x^{4}+f^{3} x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{3 d^{2} f^{2} g p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}-\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{4 e^{2}}-\frac{3 d^{2} f^{2} g p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}+\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{4 e^{2}}-\frac{3 i \pi  \,f^{2} g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}+\frac{i \pi  \,g^{3} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{20}+\frac{i \pi  \,g^{3} x^{10} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{20}+\frac{d^{5} g^{3} p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}-\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{10 e^{5}}+\frac{d^{5} g^{3} p \ln \left(-3 d^{4} e f \,g^{2}+7 d \,e^{4} f^{3}+\sqrt{-9 d^{7} e^{3} f^{2} g^{4}+42 d^{4} e^{6} f^{4} g^{2}-49 d \,e^{9} f^{6}}\, x \right)}{10 e^{5}}-\frac{3 i \pi  f \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{14}-\frac{i \pi  \,g^{3} x^{10} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{20}-\frac{i \pi  \,f^{3} x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{3} x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{6 d^{3} f \,g^{2} p x}{7 e^{3}}+\frac{3 d \,f^{2} g p \,x^{2}}{4 e}-\frac{2 d^{2} f \,g^{2} p \,x^{3}}{7 e^{2}}+\frac{6 d f \,g^{2} p \,x^{5}}{35 e}"," ",0,"f^3*x*ln(c)+1/7/e^5*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3-(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)-1/7/e^5*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3+(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)+3/7*ln(c)*f*g^2*x^7+3/4*ln(c)*f^2*g*x^4-1/50*g^3*p*x^10-2*f^3*p*x+1/10*ln(c)*g^3*x^10+3/8*I*Pi*f^2*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+3/14*I*Pi*f*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+3/8*I*Pi*f^2*g*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/20*I*Pi*g^3*x^10*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3/14*I*Pi*f*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I*Pi*f^3*x*csgn(I*c*(e*x^2+d)^p)^3-3/8*f^2*g*p*x^4-6/49*f*g^2*p*x^7-1/10*d^4*g^3*p*x^2/e^4+1/20*d^3*g^3*p*x^4/e^3-1/30*d^2*g^3*p*x^6/e^2+1/40*d*g^3*p*x^8/e-1/2*I*Pi*f^3*x*csgn(I*c)*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)+(1/10*g^3*x^10+3/7*f*g^2*x^7+3/4*f^2*g*x^4+f^3*x)*ln((e*x^2+d)^p)-3/4/e^2*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3-(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*d^2*f^2*g-3/4/e^2*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3+(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*d^2*f^2*g+1/20*I*Pi*g^3*x^10*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-3/14*I*Pi*f*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^3+1/20*I*Pi*g^3*x^10*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3/8*I*Pi*f^2*g*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/10/e^5*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3-(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*d^5*g^3+1/10/e^5*p*ln(-3*d^4*e*f*g^2+7*d*e^4*f^3+(-9*d^7*e^3*f^2*g^4+42*d^4*e^6*f^4*g^2-49*d*e^9*f^6)^(1/2)*x)*d^5*g^3-3/14*I*Pi*f*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-3/8*I*Pi*f^2*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/20*I*Pi*g^3*x^10*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f^3*x*csgn(I*c)*csgn(I*c*(e*x^2+d)^p)^2+1/2*I*Pi*f^3*x*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+6/7*d^3*f*g^2*p*x/e^3+3/4*d*f^2*g*p*x^2/e-2/7*d^2*f*g^2*p*x^3/e^2+6/35*d*f*g^2*p*x^5/e","C"
289,1,869,195,0.544000," ","int((g*x^3+f)^2*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}+\frac{g^{2} x^{7} \ln \left(c \right)}{7}+f^{2} x \ln \left(c \right)-\frac{d^{2} f g p \ln \left(-d^{4} g^{2}+7 d \,e^{3} f^{2}-\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, x \right)}{2 e^{2}}-\frac{d^{2} f g p \ln \left(-d^{4} g^{2}+7 d \,e^{3} f^{2}+\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, x \right)}{2 e^{2}}-\frac{2 g^{2} p \,x^{7}}{49}-2 f^{2} p x +\left(\frac{1}{7} g^{2} x^{7}+\frac{1}{2} f g \,x^{4}+f^{2} x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, p \ln \left(-d^{4} g^{2}+7 d \,e^{3} f^{2}-\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, x \right)}{7 e^{4}}-\frac{\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, p \ln \left(-d^{4} g^{2}+7 d \,e^{3} f^{2}+\sqrt{-d^{7} e \,g^{4}+14 d^{4} e^{4} f^{2} g^{2}-49 d \,e^{7} f^{4}}\, x \right)}{7 e^{4}}+\frac{f g \,x^{4} \ln \left(c \right)}{2}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{f g p \,x^{4}}{4}+\frac{2 d^{3} g^{2} p x}{7 e^{3}}-\frac{2 d^{2} g^{2} p \,x^{3}}{21 e^{2}}+\frac{2 d \,g^{2} p \,x^{5}}{35 e}-\frac{i \pi  \,f^{2} x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}-\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{14}-\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{14}+\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}+\frac{d f g p \,x^{2}}{2 e}"," ",0,"-1/4*I*Pi*f*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/7*ln(c)*g^2*x^7+f^2*x*ln(c)-1/2/e^2*p*ln(-d^4*g^2+7*d*e^3*f^2-(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)*x)*d^2*f*g-1/2/e^2*p*ln(-d^4*g^2+7*d*e^3*f^2+(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)*x)*d^2*f*g+1/14*I*Pi*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-2/49*g^2*p*x^7-2*f^2*p*x+(1/7*g^2*x^7+1/2*f*g*x^4+f^2*x)*ln((e*x^2+d)^p)+1/7/e^4*p*ln(-d^4*g^2+7*d*e^3*f^2-(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)*x)*(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)-1/7/e^4*p*ln(-d^4*g^2+7*d*e^3*f^2+(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)*x)*(-d^7*e*g^4+14*d^4*e^4*f^2*g^2-49*d*e^7*f^4)^(1/2)+1/2*ln(c)*f*g*x^4-1/4*f*g*p*x^4+2/7*d^3*g^2*p*x/e^3-2/21*d^2*g^2*p*x^3/e^2+2/35*d*g^2*p*x^5/e+1/14*I*Pi*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f*g*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f^2*x*csgn(I*c)*csgn(I*c*(e*x^2+d)^p)^2+1/2*I*Pi*f^2*x*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/14*I*Pi*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f^2*x*csgn(I*c*(e*x^2+d)^p)^3-1/2*I*Pi*f^2*x*csgn(I*c)*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)+1/4*I*Pi*f*g*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/14*I*Pi*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/4*I*Pi*f*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/2*d*f*g*p*x^2/e","C"
290,1,402,94,0.549000," ","int((g*x^3+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}+\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}-\frac{g p \,x^{4}}{8}+\frac{g \,x^{4} \ln \left(c \right)}{4}-\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{i \pi  f x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}+\frac{d g p \,x^{2}}{4 e}-\frac{d^{2} g p \ln \left(d -\sqrt{-d e}\, x \right)}{4 e^{2}}-\frac{d^{2} g p \ln \left(d +\sqrt{-d e}\, x \right)}{4 e^{2}}-2 f p x +f x \ln \left(c \right)+\frac{\sqrt{-d e}\, f p \ln \left(d -\sqrt{-d e}\, x \right)}{e}-\frac{\sqrt{-d e}\, f p \ln \left(d +\sqrt{-d e}\, x \right)}{e}+\left(\frac{1}{4} g \,x^{4}+f x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/4*g*x^4+f*x)*ln((e*x^2+d)^p)-1/8*I*Pi*g*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f*x*csgn(I*c)*csgn(I*c*(e*x^2+d)^p)^2+1/8*I*csgn(I*c)*csgn(I*c*(e*x^2+d)^p)^2*x^4*g*Pi+1/2*I*Pi*f*x*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/8*I*Pi*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/2*I*Pi*f*x*csgn(I*c*(e*x^2+d)^p)^3+1/8*I*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*(e*x^2+d)^p)*x^4*g*Pi-1/2*I*Pi*f*x*csgn(I*c)*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)+1/4*ln(c)*g*x^4-1/8*g*p*x^4+1/4*d*g*p*x^2/e+f*x*ln(c)+1/e*p*ln(d-(-d*e)^(1/2)*x)*f*(-d*e)^(1/2)-1/4/e^2*p*ln(d-(-d*e)^(1/2)*x)*d^2*g-1/e*p*ln(d+(-d*e)^(1/2)*x)*f*(-d*e)^(1/2)-1/4/e^2*p*ln(d+(-d*e)^(1/2)*x)*d^2*g-2*f*p*x","C"
291,1,1180,807,0.895000," ","int(ln(c*(e*x^2+d)^p)/(g*x^3+f),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{i \pi  \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{12 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{i \pi  \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{p \left(\ln \left(-\RootOf \left(g \,\textit{\_Z}^{3}+f \right)+x \right) \ln \left(e \,x^{2}+d \right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{3}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{3}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{3}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{3}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2}+2 \RootOf \left(g \,\textit{\_Z}^{3}+f \right) \textit{\_Z} e +\RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2} e +d , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(g \,\textit{\_Z}^{3}+f \right)+x \right)\right)}{3 g \RootOf \left(g \,\textit{\_Z}^{3}+f \right)^{2}}+\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right) \ln \left(c \right)}{3 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{\ln \left(c \right) \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{\ln \left(c \right) \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(\frac{2 x}{\left(\frac{f}{g}\right)^{\frac{1}{3}}}-1\right)}{3}\right)}{3 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \ln \left(x +\left(\frac{f}{g}\right)^{\frac{1}{3}}\right)}{3 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}-\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \ln \left(x^{2}-\left(\frac{f}{g}\right)^{\frac{1}{3}} x +\left(\frac{f}{g}\right)^{\frac{2}{3}}\right)}{6 \left(\frac{f}{g}\right)^{\frac{2}{3}} g}"," ",0,"1/3*(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))-1/6*(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))+1/3*(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))+1/3*p/g*sum(1/_alpha^2*(ln(-_alpha+x)*ln(e*x^2+d)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=1)-x+_alpha)/RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=1))+ln((RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=2)-x+_alpha)/RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=2)))-dilog((RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=1)-x+_alpha)/RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=1))-dilog((RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=2)-x+_alpha)/RootOf(_Z^2*e+2*_Z*_alpha*e+_alpha^2*e+d,index=2))),_alpha=RootOf(_Z^3*g+f))-1/12*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))+1/12*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))-1/12*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))-1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))-1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))+1/12*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))-1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))+1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))+1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))+1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))+1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))-1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))+1/3*ln(c)/g/(f/g)^(2/3)*ln(x+(f/g)^(1/3))-1/6*ln(c)/g/(f/g)^(2/3)*ln(x^2-(f/g)^(1/3)*x+(f/g)^(2/3))+1/3*ln(c)/g/(f/g)^(2/3)*3^(1/2)*arctan(1/3*3^(1/2)*(2/(f/g)^(1/3)*x-1))","C"
292,0,0,1478,1.287000," ","int(ln(c*(e*x^2+d)^p)/(g*x^3+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{3}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)/(g*x^3+f)^2,x)","F"
293,0,0,1061,1.634000," ","int((g*x^3+f)^3*ln(c*(e*x^2+d)^p)^2,x)","\int \left(g \,x^{3}+f \right)^{3} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((g*x^3+f)^3*ln(c*(e*x^2+d)^p)^2,x)","F"
294,0,0,697,2.489000," ","int((g*x^3+f)^2*ln(c*(e*x^2+d)^p)^2,x)","\int \left(g \,x^{3}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((g*x^3+f)^2*ln(c*(e*x^2+d)^p)^2,x)","F"
295,0,0,335,1.831000," ","int((g*x^3+f)*ln(c*(e*x^2+d)^p)^2,x)","\int \left(g \,x^{3}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}\, dx"," ",0,"int((g*x^3+f)*ln(c*(e*x^2+d)^p)^2,x)","F"
296,-1,0,26,180.000000," ","int(ln(c*(e*x^2+d)^p)^2/(g*x^3+f),x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{g \,x^{3}+f}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^2/(g*x^3+f),x)","F"
297,-1,0,26,180.000000," ","int(ln(c*(e*x^2+d)^p)^2/(g*x^3+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{\left(g \,x^{3}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^2/(g*x^3+f)^2,x)","F"
298,-1,0,974,180.000000," ","int((g*x^3+f)^2*ln(c*(e*x^2+d)^p)^3,x)","\int \left(g \,x^{3}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}\, dx"," ",0,"int((g*x^3+f)^2*ln(c*(e*x^2+d)^p)^3,x)","F"
299,0,0,453,175.459000," ","int((g*x^3+f)*ln(c*(e*x^2+d)^p)^3,x)","\int \left(g \,x^{3}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}\, dx"," ",0,"int((g*x^3+f)*ln(c*(e*x^2+d)^p)^3,x)","F"
300,-1,0,26,180.000000," ","int(ln(c*(e*x^2+d)^p)^3/(g*x^3+f),x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{g \,x^{3}+f}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^3/(g*x^3+f),x)","F"
301,-1,0,26,180.000000," ","int(ln(c*(e*x^2+d)^p)^3/(g*x^3+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{\left(g \,x^{3}+f \right)^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)^3/(g*x^3+f)^2,x)","F"
302,0,0,26,0.992000," ","int((g*x^3+f)^2/ln(c*(e*x^2+d)^p),x)","\int \frac{\left(g \,x^{3}+f \right)^{2}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int((g*x^3+f)^2/ln(c*(e*x^2+d)^p),x)","F"
303,0,0,24,0.683000," ","int((g*x^3+f)/ln(c*(e*x^2+d)^p),x)","\int \frac{g \,x^{3}+f}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int((g*x^3+f)/ln(c*(e*x^2+d)^p),x)","F"
304,0,0,26,1.066000," ","int(1/(g*x^3+f)/ln(c*(e*x^2+d)^p),x)","\int \frac{1}{\left(g \,x^{3}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int(1/(g*x^3+f)/ln(c*(e*x^2+d)^p),x)","F"
305,0,0,26,1.211000," ","int(1/(g*x^3+f)^2/ln(c*(e*x^2+d)^p),x)","\int \frac{1}{\left(g \,x^{3}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}\, dx"," ",0,"int(1/(g*x^3+f)^2/ln(c*(e*x^2+d)^p),x)","F"
306,0,0,26,4.557000," ","int((g*x^3+f)^2/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{\left(g \,x^{3}+f \right)^{2}}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int((g*x^3+f)^2/ln(c*(e*x^2+d)^p)^2,x)","F"
307,0,0,24,4.747000," ","int((g*x^3+f)/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{g \,x^{3}+f}{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int((g*x^3+f)/ln(c*(e*x^2+d)^p)^2,x)","F"
308,0,0,26,4.979000," ","int(1/(g*x^3+f)/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{1}{\left(g \,x^{3}+f \right) \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/(g*x^3+f)/ln(c*(e*x^2+d)^p)^2,x)","F"
309,0,0,26,5.957000," ","int(1/(g*x^3+f)^2/ln(c*(e*x^2+d)^p)^2,x)","\int \frac{1}{\left(g \,x^{3}+f \right)^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)^{2}}\, dx"," ",0,"int(1/(g*x^3+f)^2/ln(c*(e*x^2+d)^p)^2,x)","F"
310,1,413,128,0.507000," ","int(x^5*(g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{16}+\frac{i \pi  g \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{16}+\frac{i \pi  g \,x^{8} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{16}-\frac{i \pi  g \,x^{8} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{16}-\frac{i \pi  f \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{12}+\frac{i \pi  f \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}+\frac{i \pi  f \,x^{6} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}-\frac{i \pi  f \,x^{6} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{12}-\frac{g p \,x^{8}}{32}+\frac{g \,x^{8} \ln \left(c \right)}{8}+\frac{d g p \,x^{6}}{24 e}-\frac{f p \,x^{6}}{18}+\frac{f \,x^{6} \ln \left(c \right)}{6}-\frac{d^{2} g p \,x^{4}}{16 e^{2}}+\frac{d f p \,x^{4}}{12 e}+\frac{d^{3} g p \,x^{2}}{8 e^{3}}-\frac{d^{2} f p \,x^{2}}{6 e^{2}}-\frac{d^{4} g p \ln \left(e \,x^{2}+d \right)}{8 e^{4}}+\frac{d^{3} f p \ln \left(e \,x^{2}+d \right)}{6 e^{3}}+\left(\frac{1}{8} g \,x^{8}+\frac{1}{6} f \,x^{6}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/8*g*x^8+1/6*f*x^6)*ln((e*x^2+d)^p)-1/16*I*Pi*g*x^8*csgn(I*c*(e*x^2+d)^p)^3+1/16*I*Pi*g*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/16*I*Pi*g*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/12*I*Pi*f*x^6*csgn(I*c*(e*x^2+d)^p)^3+1/12*I*Pi*f*x^6*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/12*I*Pi*f*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/16*I*Pi*g*x^8*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/12*I*Pi*f*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/8*ln(c)*g*x^8-1/32*g*p*x^8+1/6*ln(c)*f*x^6+1/24/e*d*g*p*x^6-1/18*f*p*x^6-1/16/e^2*d^2*g*p*x^4+1/12/e*d*f*p*x^4+1/8/e^3*d^3*g*p*x^2-1/6/e^2*d^2*f*p*x^2-1/8/e^4*ln(e*x^2+d)*d^4*g*p+1/6/e^3*ln(e*x^2+d)*d^3*f*p","C"
311,1,387,107,0.500000," ","int(x^3*(g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{12}+\frac{i \pi  g \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}+\frac{i \pi  g \,x^{6} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}-\frac{i \pi  g \,x^{6} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{12}-\frac{i \pi  f \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}+\frac{i \pi  f \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  f \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{i \pi  f \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}-\frac{g p \,x^{6}}{18}+\frac{g \,x^{6} \ln \left(c \right)}{6}+\frac{d g p \,x^{4}}{12 e}-\frac{f p \,x^{4}}{8}+\frac{f \,x^{4} \ln \left(c \right)}{4}-\frac{d^{2} g p \,x^{2}}{6 e^{2}}+\frac{d f p \,x^{2}}{4 e}+\frac{d^{3} g p \ln \left(e \,x^{2}+d \right)}{6 e^{3}}-\frac{d^{2} f p \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\left(\frac{1}{6} g \,x^{6}+\frac{1}{4} f \,x^{4}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/6*g*x^6+1/4*f*x^4)*ln((e*x^2+d)^p)+1/8*I*Pi*f*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/12*I*Pi*g*x^6*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/12*I*Pi*g*x^6*csgn(I*c*(e*x^2+d)^p)^3+1/8*I*Pi*f*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/8*I*Pi*f*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/8*I*Pi*f*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/12*I*Pi*g*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/12*I*Pi*g*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/6*ln(c)*g*x^6-1/18*g*p*x^6+1/4*ln(c)*f*x^4+1/12/e*d*g*p*x^4-1/8*f*p*x^4-1/6/e^2*d^2*g*p*x^2+1/4/e*d*f*p*x^2+1/6/e^3*ln(e*x^2+d)*d^3*g*p-1/4/e^2*ln(e*x^2+d)*d^2*f*p","C"
312,1,361,86,0.479000," ","int(x*(g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}+\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{i \pi  g \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}-\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}+\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}-\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}-\frac{g p \,x^{4}}{8}+\frac{g \,x^{4} \ln \left(c \right)}{4}+\frac{d g p \,x^{2}}{4 e}-\frac{f p \,x^{2}}{2}+\frac{f \,x^{2} \ln \left(c \right)}{2}-\frac{d^{2} g p \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{d f p \ln \left(e \,x^{2}+d \right)}{2 e}+\left(\frac{1}{4} g \,x^{4}+\frac{1}{2} f \,x^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/4*g*x^4+1/2*f*x^2)*ln((e*x^2+d)^p)+1/8*I*Pi*g*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f*x^2*csgn(I*c*(e*x^2+d)^p)^3-1/8*I*Pi*g*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/4*I*Pi*f*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/8*I*Pi*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/8*I*Pi*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/4*I*Pi*f*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/4*ln(c)*g*x^4-1/8*g*p*x^4+1/2*ln(c)*f*x^2+1/4*d/e*g*p*x^2-1/2*f*p*x^2-1/4*d^2*g*p*ln(e*x^2+d)/e^2+1/2/e*ln(e*x^2+d)*d*f*p","C"
313,1,419,74,0.323000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x,x)","-\frac{i \pi  g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}+\frac{i \pi  g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{i \pi  g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}-\frac{i \pi  g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-f p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-f p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{g p \,x^{2}}{2}+\frac{g \,x^{2} \ln \left(c \right)}{2}+\frac{g \,x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2}+\frac{d g p \ln \left(e \,x^{2}+d \right)}{2 e}-f p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-f p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)+f \ln \left(c \right) \ln \left(x \right)+f \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"1/2*ln((e*x^2+d)^p)*g*x^2+ln((e*x^2+d)^p)*f*ln(x)-1/2*g*p*x^2+1/2*p/e*g*d*ln(e*x^2+d)-p*f*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*f*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*f*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*f*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f*ln(x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f*ln(x)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f*ln(x)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g*x^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g*x^2+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g*x^2+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f*ln(x)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g*x^2+1/2*ln(c)*g*x^2+ln(c)*f*ln(x)","C"
314,1,421,85,0.260000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^3,x)","-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-g p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-g p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)+\frac{e f p \ln \left(x \right)}{d}-\frac{e f p \ln \left(e \,x^{2}+d \right)}{2 d}-g p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-g p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)+g \ln \left(c \right) \ln \left(x \right)+g \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 x^{2}}-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 x^{2}}-\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 x^{2}}+\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 x^{2}}-\frac{f \ln \left(c \right)}{2 x^{2}}-\frac{f \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 x^{2}}"," ",0,"ln((e*x^2+d)^p)*g*ln(x)-1/2*ln((e*x^2+d)^p)*f/x^2-1/2*e*f*p*ln(e*x^2+d)/d+e*f*p*ln(x)/d-p*g*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f/x^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f/x^2+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f/x^2+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g*ln(x)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f/x^2-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g*ln(x)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g*ln(x)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g*ln(x)+ln(c)*g*ln(x)-1/2*ln(c)*f/x^2","C"
315,1,392,85,0.404000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^5,x)","-\frac{\left(2 g \,x^{2}+f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{4 x^{4}}-\frac{-8 d e g p \,x^{4} \ln \left(x \right)+4 d e g p \,x^{4} \ln \left(e \,x^{2}+d \right)+4 e^{2} f p \,x^{4} \ln \left(x \right)-2 e^{2} f p \,x^{4} \ln \left(e \,x^{2}+d \right)-2 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+2 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+2 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-2 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-i \pi  \,d^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+i \pi  \,d^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  \,d^{2} f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  \,d^{2} f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+4 d^{2} g \,x^{2} \ln \left(c \right)+2 d e f p \,x^{2}+2 d^{2} f \ln \left(c \right)}{8 d^{2} x^{4}}"," ",0,"-1/4*(2*g*x^2+f)/x^4*ln((e*x^2+d)^p)-1/8*(2*I*Pi*d^2*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-2*I*Pi*d^2*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-2*I*Pi*d^2*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+2*I*Pi*d^2*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-8*ln(x)*d*e*g*p*x^4+4*ln(x)*e^2*f*p*x^4+4*ln(e*x^2+d)*d*e*g*p*x^4-2*ln(e*x^2+d)*e^2*f*p*x^4+I*Pi*d^2*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-I*Pi*d^2*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-I*Pi*d^2*f*csgn(I*c*(e*x^2+d)^p)^3+I*Pi*d^2*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+4*ln(c)*d^2*g*x^2+2*d*e*f*p*x^2+2*ln(c)*d^2*f)/d^2/x^4","C"
316,1,428,113,0.409000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^7,x)","-\frac{\left(3 g \,x^{2}+2 f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{12 x^{6}}-\frac{12 d \,e^{2} g p \,x^{6} \ln \left(x \right)-6 d \,e^{2} g p \,x^{6} \ln \left(-e \,x^{2}-d \right)-8 e^{3} f p \,x^{6} \ln \left(x \right)+4 e^{3} f p \,x^{6} \ln \left(-e \,x^{2}-d \right)-3 i \pi  \,d^{3} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+3 i \pi  \,d^{3} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{3} g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{3} g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+6 d^{2} e g p \,x^{4}-4 d \,e^{2} f p \,x^{4}-2 i \pi  \,d^{3} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+2 i \pi  \,d^{3} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+2 i \pi  \,d^{3} f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-2 i \pi  \,d^{3} f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+6 d^{3} g \,x^{2} \ln \left(c \right)+2 d^{2} e f p \,x^{2}+4 d^{3} f \ln \left(c \right)}{24 d^{3} x^{6}}"," ",0,"-1/12*(3*g*x^2+2*f)/x^6*ln((e*x^2+d)^p)-1/24*(12*ln(x)*d*e^2*g*p*x^6-8*ln(x)*e^3*f*p*x^6-6*ln(-e*x^2-d)*d*e^2*g*p*x^6+4*ln(-e*x^2-d)*e^3*f*p*x^6-2*I*Pi*d^3*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3*I*Pi*d^3*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+2*I*Pi*d^3*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3*I*Pi*d^3*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3*I*Pi*d^3*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-2*I*Pi*d^3*f*csgn(I*c*(e*x^2+d)^p)^3-3*I*Pi*d^3*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+2*I*Pi*d^3*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+6*d^2*e*g*p*x^4-4*d*e^2*f*p*x^4+6*ln(c)*d^3*g*x^2+2*d^2*e*f*p*x^2+4*ln(c)*d^3*f)/d^3/x^6","C"
317,1,448,134,0.512000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^9,x)","-\frac{\left(4 g \,x^{2}+3 f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{24 x^{8}}-\frac{-16 d \,e^{3} g p \,x^{8} \ln \left(x \right)+8 d \,e^{3} g p \,x^{8} \ln \left(e \,x^{2}+d \right)+12 e^{4} f p \,x^{8} \ln \left(x \right)-6 e^{4} f p \,x^{8} \ln \left(e \,x^{2}+d \right)-8 d^{2} e^{2} g p \,x^{6}+6 d \,e^{3} f p \,x^{6}-4 i \pi  \,d^{4} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+4 i \pi  \,d^{4} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+4 i \pi  \,d^{4} g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-4 i \pi  \,d^{4} g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+4 d^{3} e g p \,x^{4}-3 d^{2} e^{2} f p \,x^{4}-3 i \pi  \,d^{4} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+3 i \pi  \,d^{4} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{4} f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{4} f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+8 d^{4} g \,x^{2} \ln \left(c \right)+2 d^{3} e f p \,x^{2}+6 d^{4} f \ln \left(c \right)}{48 d^{4} x^{8}}"," ",0,"-1/24*(4*g*x^2+3*f)/x^8*ln((e*x^2+d)^p)-1/48*(-16*ln(x)*d*e^3*g*p*x^8+12*ln(x)*e^4*f*p*x^8+8*ln(e*x^2+d)*d*e^3*g*p*x^8-6*ln(e*x^2+d)*e^4*f*p*x^8-3*I*Pi*d^4*f*csgn(I*c*(e*x^2+d)^p)^3+3*I*Pi*d^4*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-4*I*Pi*d^4*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+3*I*Pi*d^4*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-8*d^2*e^2*g*p*x^6+6*d*e^3*f*p*x^6+4*I*Pi*d^4*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+4*I*Pi*d^4*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3*I*Pi*d^4*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-4*I*Pi*d^4*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+4*d^3*e*g*p*x^4-3*d^2*e^2*f*p*x^4+8*ln(c)*d^4*g*x^2+2*d^3*e*f*p*x^2+6*ln(c)*d^4*f)/d^4/x^8","C"
318,1,453,120,0.546000," ","int(x^2*(g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{10}+\frac{i \pi  g \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}+\frac{i \pi  g \,x^{5} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}-\frac{i \pi  g \,x^{5} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{10}-\frac{i \pi  f \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6}+\frac{i \pi  f \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{i \pi  f \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}-\frac{i \pi  f \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6}-\frac{2 g p \,x^{5}}{25}+\frac{g \,x^{5} \ln \left(c \right)}{5}+\frac{2 d g p \,x^{3}}{15 e}-\frac{2 f p \,x^{3}}{9}+\frac{f \,x^{3} \ln \left(c \right)}{3}-\frac{2 d^{2} g p x}{5 e^{2}}+\frac{2 d f p x}{3 e}+\frac{\sqrt{-d e}\, d^{2} g p \ln \left(d -\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{\sqrt{-d e}\, d^{2} g p \ln \left(d +\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{\sqrt{-d e}\, d f p \ln \left(d -\sqrt{-d e}\, x \right)}{3 e^{2}}+\frac{\sqrt{-d e}\, d f p \ln \left(d +\sqrt{-d e}\, x \right)}{3 e^{2}}+\left(\frac{1}{5} g \,x^{5}+\frac{1}{3} f \,x^{3}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/5*g*x^5+1/3*f*x^3)*ln((e*x^2+d)^p)-1/6*I*Pi*f*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/6*I*Pi*f*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/6*I*Pi*f*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/10*I*Pi*g*x^5*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/6*I*Pi*f*x^3*csgn(I*c*(e*x^2+d)^p)^3+1/10*I*Pi*g*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/10*I*Pi*g*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/10*I*Pi*g*x^5*csgn(I*c*(e*x^2+d)^p)^3+1/5*ln(c)*g*x^5-2/25*g*p*x^5+1/3*ln(c)*f*x^3+2/15*d*g*p*x^3/e-2/9*f*p*x^3+1/5/e^3*(-d*e)^(1/2)*p*d^2*ln(d-(-d*e)^(1/2)*x)*g-1/3/e^2*(-d*e)^(1/2)*p*d*ln(d-(-d*e)^(1/2)*x)*f-1/5/e^3*(-d*e)^(1/2)*p*d^2*ln(d+(-d*e)^(1/2)*x)*g+1/3/e^2*(-d*e)^(1/2)*p*d*ln(d+(-d*e)^(1/2)*x)*f-2/5*d^2*g*p*x/e^2+2/3*d*f*p*x/e","C"
319,1,416,93,0.094000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6}+\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}-\frac{i \pi  g \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6}-\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  f x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{i \pi  f x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}-\frac{2 g p \,x^{3}}{9}+\frac{g \,x^{3} \ln \left(c \right)}{3}+\frac{2 d g p x}{3 e}-2 f p x +f x \ln \left(c \right)+\frac{\sqrt{-d e}\, d g p \ln \left(-d -\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{\sqrt{-d e}\, d g p \ln \left(-d +\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{\sqrt{-d e}\, f p \ln \left(-d -\sqrt{-d e}\, x \right)}{e}+\frac{\sqrt{-d e}\, f p \ln \left(-d +\sqrt{-d e}\, x \right)}{e}+\left(\frac{1}{3} g \,x^{3}+f x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)"," ",0,"(1/3*g*x^3+f*x)*ln((e*x^2+d)^p)+1/6*I*Pi*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/6*I*Pi*g*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/2*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^3*x-1/2*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x-1/6*I*Pi*g*x^3*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x-1/6*I*Pi*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/2*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x+1/3*g*x^3*ln(c)-2/9*g*p*x^3+f*x*ln(c)+1/3/e^2*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*d*g-1/e*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*f-1/3/e^2*(-d*e)^(1/2)*p*ln(-d+(-d*e)^(1/2)*x)*d*g+1/e*(-d*e)^(1/2)*p*ln(-d+(-d*e)^(1/2)*x)*f+2/3*d/e*g*p*x-2*f*p*x","C"
320,1,403,64,0.770000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^2,x)","-\frac{\left(-g \,x^{2}+f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{x}+\frac{-i \pi  g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+i \pi  g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-4 g p \,x^{2}+2 g \,x^{2} \ln \left(c \right)-2 f \ln \left(c \right)+2 x \RootOf \left(d^{2} g^{2} p^{2}+2 d e f g \,p^{2}+e^{2} f^{2} p^{2}+d \,\textit{\_Z}^{2} e \right) \ln \left(\left(-d^{2} g p -d e f p \right) \RootOf \left(d^{2} g^{2} p^{2}+2 d e f g \,p^{2}+e^{2} f^{2} p^{2}+d \,\textit{\_Z}^{2} e \right)+\left(2 d^{2} g^{2} p^{2}+4 d e f g \,p^{2}+2 e^{2} f^{2} p^{2}+3 \RootOf \left(d^{2} g^{2} p^{2}+2 d e f g \,p^{2}+e^{2} f^{2} p^{2}+d \,\textit{\_Z}^{2} e \right)^{2} d e \right) x \right)}{2 x}"," ",0,"-(-g*x^2+f)/x*ln((e*x^2+d)^p)+1/2*(I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g*x^2-I*Pi*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-I*Pi*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+I*Pi*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*f*csgn(I*c*(e*x^2+d)^p)^3-I*Pi*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+2*g*x^2*ln(c)-4*g*p*x^2-2*ln(c)*f+2*sum(_R*ln((2*d^2*g^2*p^2+4*d*e*f*g*p^2+2*e^2*f^2*p^2+3*_R^2*d*e)*x+(-d^2*g*p-d*e*f*p)*_R),_R=RootOf(d^2*g^2*p^2+2*d*e*f*g*p^2+e^2*f^2*p^2+_Z^2*d*e))*x)/x","C"
321,1,430,86,0.658000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^4,x)","-\frac{\left(3 g \,x^{2}+f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{3 x^{3}}+\frac{3 i \pi  d g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  d g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  d g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  d g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+i \pi  d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-i \pi  d f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  d f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  d f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-6 d g \,x^{2} \ln \left(c \right)+2 d \,x^{3} \RootOf \left(9 d^{2} e \,g^{2} p^{2}-6 d \,e^{2} f g \,p^{2}+e^{3} f^{2} p^{2}+d^{3} \textit{\_Z}^{2}\right) \ln \left(\left(-3 d^{3} g p +d^{2} e f p \right) \RootOf \left(9 d^{2} e \,g^{2} p^{2}-6 d \,e^{2} f g \,p^{2}+e^{3} f^{2} p^{2}+d^{3} \textit{\_Z}^{2}\right)+\left(18 d^{2} e \,g^{2} p^{2}-12 d \,e^{2} f g \,p^{2}+2 e^{3} f^{2} p^{2}+3 \RootOf \left(9 d^{2} e \,g^{2} p^{2}-6 d \,e^{2} f g \,p^{2}+e^{3} f^{2} p^{2}+d^{3} \textit{\_Z}^{2}\right)^{2} d^{3}\right) x \right)-4 e f p \,x^{2}-2 d f \ln \left(c \right)}{6 d \,x^{3}}"," ",0,"-1/3*(3*g*x^2+f)/x^3*ln((e*x^2+d)^p)+1/6*(-3*I*Pi*d*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+3*I*Pi*d*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3*I*Pi*d*g*x^2*csgn(I*c*(e*x^2+d)^p)^3-3*I*Pi*d*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-I*Pi*d*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+I*Pi*d*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*d*f*csgn(I*c*(e*x^2+d)^p)^3-I*Pi*d*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-6*ln(c)*d*g*x^2+2*sum(_R*ln((18*d^2*e*g^2*p^2-12*d*e^2*f*g*p^2+2*e^3*f^2*p^2+3*_R^2*d^3)*x+(-3*d^3*g*p+d^2*e*f*p)*_R),_R=RootOf(9*d^2*e*g^2*p^2-6*d*e^2*f*g*p^2+e^3*f^2*p^2+_Z^2*d^3))*d*x^3-4*e*f*p*x^2-2*ln(c)*d*f)/d/x^3","C"
322,1,483,110,0.624000," ","int((g*x^2+f)*ln(c*(e*x^2+d)^p)/x^6,x)","-\frac{\left(5 g \,x^{2}+3 f \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{15 x^{5}}+\frac{5 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-5 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-5 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+5 i \pi  \,d^{2} g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+2 d^{2} x^{5} \RootOf \left(25 d^{2} e^{3} g^{2} p^{2}-30 d \,e^{4} f g \,p^{2}+9 e^{5} f^{2} p^{2}+d^{5} \textit{\_Z}^{2}\right) \ln \left(\left(5 d^{4} e g p -3 d^{3} e^{2} f p \right) \RootOf \left(25 d^{2} e^{3} g^{2} p^{2}-30 d \,e^{4} f g \,p^{2}+9 e^{5} f^{2} p^{2}+d^{5} \textit{\_Z}^{2}\right)+\left(50 d^{2} e^{3} g^{2} p^{2}-60 d \,e^{4} f g \,p^{2}+18 e^{5} f^{2} p^{2}+3 \RootOf \left(25 d^{2} e^{3} g^{2} p^{2}-30 d \,e^{4} f g \,p^{2}+9 e^{5} f^{2} p^{2}+d^{5} \textit{\_Z}^{2}\right)^{2} d^{5}\right) x \right)-20 d e g p \,x^{4}+12 e^{2} f p \,x^{4}+3 i \pi  \,d^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  \,d^{2} f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{2} f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{2} f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-10 d^{2} g \,x^{2} \ln \left(c \right)-4 d e f p \,x^{2}-6 d^{2} f \ln \left(c \right)}{30 d^{2} x^{5}}"," ",0,"-1/15*(5*g*x^2+3*f)/x^5*ln((e*x^2+d)^p)+1/30*(-5*I*Pi*d^2*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+5*I*Pi*d^2*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+5*I*Pi*d^2*g*x^2*csgn(I*c*(e*x^2+d)^p)^3-5*I*Pi*d^2*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*d^2+3*I*Pi*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*d^2+3*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^3*d^2-3*I*Pi*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*d^2+2*sum(_R*ln((50*d^2*e^3*g^2*p^2-60*d*e^4*f*g*p^2+18*e^5*f^2*p^2+3*_R^2*d^5)*x+(5*d^4*e*g*p-3*d^3*e^2*f*p)*_R),_R=RootOf(25*d^2*e^3*g^2*p^2-30*d*e^4*f*g*p^2+9*e^5*f^2*p^2+_Z^2*d^5))*d^2*x^5-20*d*e*g*p*x^4+12*e^2*f*p*x^4-10*d^2*g*x^2*ln(c)-4*d*e*f*p*x^2-6*d^2*f*ln(c))/d^2/x^5","C"
323,1,687,233,0.481000," ","int(x^5*(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\frac{f^{2} x^{6} \ln \left(c \right)}{6}+\frac{g^{2} x^{10} \ln \left(c \right)}{10}-\frac{g^{2} p \,x^{10}}{50}-\frac{f^{2} p \,x^{6}}{18}+\frac{f g \,x^{8} \ln \left(c \right)}{4}+\left(\frac{1}{10} g^{2} x^{10}+\frac{1}{4} f g \,x^{8}+\frac{1}{6} f^{2} x^{6}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+\frac{i \pi  \,f^{2} x^{6} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}+\frac{d f g p \,x^{6}}{12 e}-\frac{d^{2} f g p \,x^{4}}{8 e^{2}}+\frac{d^{3} f g p \,x^{2}}{4 e^{3}}-\frac{d^{4} f g p \ln \left(e \,x^{2}+d \right)}{4 e^{4}}-\frac{f g p \,x^{8}}{16}+\frac{i \pi  f g \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  f g \,x^{8} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{i \pi  \,g^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{20}+\frac{d \,g^{2} p \,x^{8}}{40 e}-\frac{d^{2} g^{2} p \,x^{6}}{30 e^{2}}+\frac{d^{3} g^{2} p \,x^{4}}{20 e^{3}}+\frac{d \,f^{2} p \,x^{4}}{12 e}-\frac{d^{4} g^{2} p \,x^{2}}{10 e^{4}}-\frac{d^{2} f^{2} p \,x^{2}}{6 e^{2}}+\frac{d^{5} g^{2} p \ln \left(e \,x^{2}+d \right)}{10 e^{5}}+\frac{d^{3} f^{2} p \ln \left(e \,x^{2}+d \right)}{6 e^{3}}-\frac{i \pi  \,g^{2} x^{10} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{20}-\frac{i \pi  \,f^{2} x^{6} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{12}+\frac{i \pi  \,g^{2} x^{10} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{20}+\frac{i \pi  \,g^{2} x^{10} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{20}-\frac{i \pi  f g \,x^{8} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}+\frac{i \pi  \,f^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}-\frac{i \pi  f g \,x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}-\frac{i \pi  \,f^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{12}"," ",0,"1/6*ln(c)*f^2*x^6+1/10*ln(c)*g^2*x^10-1/50*g^2*p*x^10-1/18*f^2*p*x^6+1/4*ln(c)*f*g*x^8+(1/10*g^2*x^10+1/4*f*g*x^8+1/6*f^2*x^6)*ln((e*x^2+d)^p)-1/8*I*Pi*f*g*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/12/e*d*f*g*p*x^6-1/8/e^2*d^2*f*g*p*x^4+1/4/e^3*d^3*f*g*p*x^2-1/4/e^4*ln(e*x^2+d)*d^4*f*g*p+1/20*I*Pi*g^2*x^10*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/20*I*Pi*g^2*x^10*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/8*I*Pi*f*g*x^8*csgn(I*c*(e*x^2+d)^p)^3+1/12*I*Pi*f^2*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/12*I*Pi*f^2*x^6*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/16*f*g*p*x^8+1/40/e*d*g^2*p*x^8-1/30/e^2*d^2*g^2*p*x^6+1/20/e^3*d^3*g^2*p*x^4+1/12/e*d*f^2*p*x^4-1/10/e^4*d^4*g^2*p*x^2-1/6/e^2*d^2*f^2*p*x^2+1/10/e^5*ln(e*x^2+d)*d^5*g^2*p+1/6/e^3*ln(e*x^2+d)*d^3*f^2*p-1/20*I*Pi*g^2*x^10*csgn(I*c*(e*x^2+d)^p)^3-1/12*I*Pi*f^2*x^6*csgn(I*c*(e*x^2+d)^p)^3-1/12*I*Pi*f^2*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/20*I*Pi*g^2*x^10*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/8*I*Pi*f*g*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/8*I*Pi*f*g*x^8*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)","C"
324,1,643,194,0.472000," ","int(x^3*(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\frac{f g \,x^{6} \ln \left(c \right)}{3}-\frac{f^{2} p \,x^{4}}{8}-\frac{g^{2} p \,x^{8}}{32}+\frac{g^{2} x^{8} \ln \left(c \right)}{8}+\frac{f^{2} x^{4} \ln \left(c \right)}{4}+\frac{d^{3} f g p \ln \left(e \,x^{2}+d \right)}{3 e^{3}}+\left(\frac{1}{8} g^{2} x^{8}+\frac{1}{3} f g \,x^{6}+\frac{1}{4} f^{2} x^{4}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+\frac{i \pi  f g \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{i \pi  f g \,x^{6} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}-\frac{i \pi  \,f^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}-\frac{i \pi  f g \,x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6}-\frac{f g p \,x^{6}}{9}-\frac{i \pi  \,g^{2} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{16}-\frac{i \pi  \,g^{2} x^{8} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{16}-\frac{i \pi  \,f^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}+\frac{d \,g^{2} p \,x^{6}}{24 e}-\frac{d^{2} g^{2} p \,x^{4}}{16 e^{2}}+\frac{d^{3} g^{2} p \,x^{2}}{8 e^{3}}+\frac{d \,f^{2} p \,x^{2}}{4 e}-\frac{d^{4} g^{2} p \ln \left(e \,x^{2}+d \right)}{8 e^{4}}-\frac{d^{2} f^{2} p \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{i \pi  \,g^{2} x^{8} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{16}+\frac{i \pi  \,g^{2} x^{8} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{16}-\frac{i \pi  f g \,x^{6} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6}+\frac{i \pi  \,f^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,f^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{d f g p \,x^{4}}{6 e}-\frac{d^{2} f g p \,x^{2}}{3 e^{2}}"," ",0,"1/3*ln(c)*f*g*x^6-1/8*f^2*p*x^4-1/32*g^2*p*x^8+1/8*ln(c)*g^2*x^8+1/4*ln(c)*f^2*x^4+1/3/e^3*ln(e*x^2+d)*d^3*f*g*p+1/8*I*Pi*f^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/16*I*Pi*g^2*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/16*I*Pi*g^2*x^8*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/6*I*Pi*f*g*x^6*csgn(I*c*(e*x^2+d)^p)^3+1/8*I*Pi*f^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+(1/8*g^2*x^8+1/3*f*g*x^6+1/4*f^2*x^4)*ln((e*x^2+d)^p)-1/6*I*Pi*f*g*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/9*f*g*p*x^6-1/16*I*Pi*g^2*x^8*csgn(I*c*(e*x^2+d)^p)^3-1/8*I*Pi*f^2*x^4*csgn(I*c*(e*x^2+d)^p)^3+1/24/e*d*g^2*p*x^6-1/16/e^2*d^2*g^2*p*x^4+1/8/e^3*d^3*g^2*p*x^2+1/4/e*d*f^2*p*x^2-1/8/e^4*ln(e*x^2+d)*d^4*g^2*p-1/4/e^2*ln(e*x^2+d)*d^2*f^2*p-1/16*I*Pi*g^2*x^8*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/6*I*Pi*f*g*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/6*I*Pi*f*g*x^6*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/8*I*Pi*f^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/6/e*d*f*g*p*x^4-1/3/e^2*d^2*f*g*p*x^2","C"
325,1,599,114,0.464000," ","int(x*(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\frac{f g \,x^{4} \ln \left(c \right)}{2}-\frac{g^{2} p \,x^{6}}{18}-\frac{f^{2} p \,x^{2}}{2}+\frac{g^{2} x^{6} \ln \left(c \right)}{6}+\frac{f^{2} x^{2} \ln \left(c \right)}{2}+\left(\frac{1}{6} g^{2} x^{6}+\frac{1}{2} f g \,x^{4}+\frac{1}{2} f^{2} x^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{d^{2} f g p \ln \left(e \,x^{2}+d \right)}{2 e^{2}}-\frac{f g p \,x^{4}}{4}-\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}-\frac{i \pi  \,g^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{12}+\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,g^{2} x^{6} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{12}-\frac{i \pi  \,f^{2} x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}+\frac{d \,g^{2} p \,x^{4}}{12 e}-\frac{d^{2} g^{2} p \,x^{2}}{6 e^{2}}+\frac{d^{3} g^{2} p \ln \left(e \,x^{2}+d \right)}{6 e^{3}}+\frac{d \,f^{2} p \ln \left(e \,x^{2}+d \right)}{2 e}+\frac{d f g p \,x^{2}}{2 e}+\frac{i \pi  \,g^{2} x^{6} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}+\frac{i \pi  \,g^{2} x^{6} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{12}-\frac{i \pi  f g \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}+\frac{i \pi  \,f^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{i \pi  \,f^{2} x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}-\frac{i \pi  \,f^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}"," ",0,"1/2*ln(c)*f*g*x^4-1/18*g^2*p*x^6-1/2*f^2*p*x^2+1/6*ln(c)*g^2*x^6+1/2*ln(c)*f^2*x^2+(1/6*g^2*x^6+1/2*f*g*x^4+1/2*f^2*x^2)*ln((e*x^2+d)^p)-1/2*d^2*f*g*p*ln(e*x^2+d)/e^2-1/4*f*g*p*x^4+1/4*I*Pi*f^2*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/4*I*Pi*f^2*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/12*I*Pi*g^2*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/12*I*Pi*g^2*x^6*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f*g*x^4*csgn(I*c*(e*x^2+d)^p)^3-1/12*I*Pi*g^2*x^6*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/4*I*Pi*f*g*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/4*I*Pi*f*g*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/4*I*Pi*f^2*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/12/e*d*g^2*p*x^4-1/6/e^2*d^2*g^2*p*x^2+1/6/e^3*ln(e*x^2+d)*d^3*g^2*p+1/2/e*ln(e*x^2+d)*d*f^2*p-1/12*I*Pi*g^2*x^6*csgn(I*c*(e*x^2+d)^p)^3-1/4*I*Pi*f^2*x^2*csgn(I*c*(e*x^2+d)^p)^3+1/2*d/e*f*g*p*x^2","C"
326,1,652,141,0.301000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x,x)","-\frac{i \pi  \,g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}+\frac{g^{2} x^{4} \ln \left(c \right)}{4}+\frac{d f g p \ln \left(e \,x^{2}+d \right)}{e}+\frac{g^{2} x^{4} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{4}+f^{2} \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-f^{2} p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-f^{2} p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{g^{2} p \,x^{4}}{8}-f g p \,x^{2}+f g \,x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+f^{2} \ln \left(c \right) \ln \left(x \right)+f g \,x^{2} \ln \left(c \right)-f^{2} p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-f^{2} p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{i \pi  f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{i \pi  \,g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8}+\frac{i \pi  f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2}-\frac{i \pi  f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}+\frac{i \pi  \,g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8}-\frac{d^{2} g^{2} p \ln \left(e \,x^{2}+d \right)}{4 e^{2}}+\frac{d \,g^{2} p \,x^{2}}{4 e}"," ",0,"-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x^2*f*g+1/4*ln(c)*x^4*g^2+p/e*g*d*ln(e*x^2+d)*f-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2*ln(x)-1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x^4*g^2+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x^2*f*g+1/4*ln((e*x^2+d)^p)*x^4*g^2-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2*ln(x)-1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*x^4*g^2+ln((e*x^2+d)^p)*f^2*ln(x)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*x^2*f*g+1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x^4*g^2+1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x^4*g^2+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2*ln(x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2*ln(x)-1/8*g^2*p*x^4-p*f^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-f*g*p*x^2-p*f^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+ln((e*x^2+d)^p)*x^2*f*g+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x^2*f*g+ln(c)*f^2*ln(x)+ln(c)*x^2*f*g-p*f^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*f^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*d^2*g^2*p*ln(e*x^2+d)/e^2+1/4*d*g^2*p*x^2/e","C"
327,1,642,127,0.310000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^3,x)","\frac{d \,g^{2} p \ln \left(e \,x^{2}+d \right)}{2 e}-2 f g p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-2 f g p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{f^{2} \ln \left(c \right)}{2 x^{2}}+\frac{g^{2} x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{f^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 x^{2}}-\frac{g^{2} p \,x^{2}}{2}+\frac{g^{2} x^{2} \ln \left(c \right)}{2}-2 f g p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-2 f g p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)+2 f g \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)+2 f g \ln \left(c \right) \ln \left(x \right)-i \pi  f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)-\frac{i \pi  \,g^{2} x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 x^{2}}-i \pi  f g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 x^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 x^{2}}+\frac{i \pi  \,g^{2} x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+i \pi  f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)-\frac{i \pi  \,g^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4}+\frac{i \pi  \,g^{2} x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4}+\frac{e \,f^{2} p \ln \left(x \right)}{d}-\frac{e \,f^{2} p \ln \left(e \,x^{2}+d \right)}{2 d}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 x^{2}}+i \pi  f g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)"," ",0,"1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2/x^2+1/2*p/e*d*ln(e*x^2+d)*g^2-2*p*f*g*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-2*p*f*g*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f*g*ln(x)-I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f*g*ln(x)-1/2*ln(c)*f^2/x^2+1/2*ln((e*x^2+d)^p)*x^2*g^2-1/2*ln((e*x^2+d)^p)*f^2/x^2-1/2*g^2*p*x^2+1/2*ln(c)*x^2*g^2-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2/x^2+2*ln((e*x^2+d)^p)*f*g*ln(x)-2*p*f*g*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-2*p*f*g*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x^2*g^2+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x^2*g^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2/x^2-I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f*g*ln(x)+2*ln(c)*f*g*ln(x)+I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f*g*ln(x)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x^2*g^2+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2/x^2-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*x^2*g^2+e*f^2*p*ln(x)/d-1/2*e*f^2*p*ln(e*x^2+d)/d","C"
328,1,663,160,0.258000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^5,x)","-g^{2} p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-g^{2} p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{f g \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{x^{2}}+g^{2} \ln \left(c \right) \ln \left(x \right)-\frac{f^{2} \ln \left(c \right)}{4 x^{4}}+g^{2} \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{f^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{4 x^{4}}+\frac{i \pi  f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 x^{2}}-g^{2} p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-g^{2} p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)-\frac{f g \ln \left(c \right)}{x^{2}}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8 x^{4}}-\frac{i \pi  \,g^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}+\frac{i \pi  \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  \,g^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  f g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 x^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8 x^{4}}-\frac{e^{2} f^{2} p \ln \left(x \right)}{2 d^{2}}+\frac{e^{2} f^{2} p \ln \left(e \,x^{2}+d \right)}{4 d^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8 x^{4}}+\frac{2 e f g p \ln \left(x \right)}{d}-\frac{e f g p \ln \left(e \,x^{2}+d \right)}{d}-\frac{e \,f^{2} p}{4 d \,x^{2}}-\frac{i \pi  \,g^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2}-\frac{i \pi  f g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 x^{2}}-\frac{i \pi  f g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 x^{2}}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8 x^{4}}"," ",0,"-ln((e*x^2+d)^p)*f*g/x^2-p*g^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+ln(c)*g^2*ln(x)-1/4*ln(c)*f^2/x^4+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f*g/x^2+ln((e*x^2+d)^p)*g^2*ln(x)-1/4*ln((e*x^2+d)^p)*f^2/x^4-1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2/x^4+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g^2*ln(x)-1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2/x^4+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f*g/x^2+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g^2*ln(x)-p*g^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-ln(c)*f*g/x^2-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g^2*ln(x)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f*g/x^2-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f*g/x^2+1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2/x^4+1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2/x^4-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g^2*ln(x)-1/2*e^2*f^2*p*ln(x)/d^2+1/4*e^2*f^2*p*ln(e*x^2+d)/d^2+2*e*f*g*p*ln(x)/d-e*f*g*p*ln(e*x^2+d)/d-1/4*e*f^2*p/d/x^2","C"
329,1,656,120,0.465000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^7,x)","-\frac{\left(3 g^{2} x^{4}+3 f g \,x^{2}+f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{6 x^{6}}+\frac{12 d^{2} e \,g^{2} p \,x^{6} \ln \left(x \right)-6 d^{2} e \,g^{2} p \,x^{6} \ln \left(e \,x^{2}+d \right)-12 d \,e^{2} f g p \,x^{6} \ln \left(x \right)+6 d \,e^{2} f g p \,x^{6} \ln \left(e \,x^{2}+d \right)+4 e^{3} f^{2} p \,x^{6} \ln \left(x \right)-2 e^{3} f^{2} p \,x^{6} \ln \left(e \,x^{2}+d \right)+3 i \pi  \,d^{3} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  \,d^{3} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{3} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{3} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+3 i \pi  \,d^{3} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  \,d^{3} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{3} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{3} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-6 d^{3} g^{2} x^{4} \ln \left(c \right)-6 d^{2} e f g p \,x^{4}+2 d \,e^{2} f^{2} p \,x^{4}+i \pi  \,d^{3} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-i \pi  \,d^{3} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  \,d^{3} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  \,d^{3} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-6 d^{3} f g \,x^{2} \ln \left(c \right)-d^{2} e \,f^{2} p \,x^{2}-2 d^{3} f^{2} \ln \left(c \right)}{12 d^{3} x^{6}}"," ",0,"-1/6*(3*g^2*x^4+3*f*g*x^2+f^2)/x^6*ln((e*x^2+d)^p)+1/12*(-3*I*Pi*d^3*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-I*Pi*d^3*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+3*I*Pi*d^3*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+3*I*Pi*d^3*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+12*ln(x)*d^2*e*g^2*p*x^6-12*ln(x)*d*e^2*f*g*p*x^6+4*ln(x)*e^3*f^2*p*x^6-6*ln(e*x^2+d)*d^2*e*g^2*p*x^6+6*ln(e*x^2+d)*d*e^2*f*g*p*x^6-2*ln(e*x^2+d)*e^3*f^2*p*x^6+3*I*Pi*d^3*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3-3*I*Pi*d^3*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-3*I*Pi*d^3*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-3*I*Pi*d^3*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-6*ln(c)*d^3*g^2*x^4+3*I*Pi*d^3*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*d^3*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*d^3*f^2*csgn(I*c*(e*x^2+d)^p)^3-I*Pi*d^3*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-6*d^2*e*f*g*p*x^4+2*d*e^2*f^2*p*x^4-6*ln(c)*d^3*f*g*x^2-d^2*e*f^2*p*x^2-2*ln(c)*d^3*f^2)/d^3/x^6","C"
330,1,713,200,0.509000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^9,x)","-\frac{\left(6 g^{2} x^{4}+8 f g \,x^{2}+3 f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{24 x^{8}}-\frac{6 d^{4} f^{2} \ln \left(c \right)-8 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-3 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+12 d^{4} g^{2} x^{4} \ln \left(c \right)+3 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+12 d^{3} e \,g^{2} p \,x^{6}+6 d \,e^{3} f^{2} p \,x^{6}-3 d^{2} e^{2} f^{2} p \,x^{4}+2 d^{3} e \,f^{2} p \,x^{2}-3 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-6 e^{4} f^{2} p \,x^{8} \ln \left(-e \,x^{2}-d \right)+12 e^{4} f^{2} p \,x^{8} \ln \left(x \right)+16 d^{4} f g \,x^{2} \ln \left(c \right)-16 d^{2} e^{2} f g p \,x^{6}+8 d^{3} e f g p \,x^{4}+6 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+6 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-8 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-6 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+8 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+8 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-6 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-12 d^{2} e^{2} g^{2} p \,x^{8} \ln \left(-e \,x^{2}-d \right)+24 d^{2} e^{2} g^{2} p \,x^{8} \ln \left(x \right)+16 d \,e^{3} f g p \,x^{8} \ln \left(-e \,x^{2}-d \right)-32 d \,e^{3} f g p \,x^{8} \ln \left(x \right)}{48 d^{4} x^{8}}"," ",0,"-1/24*(6*g^2*x^4+8*f*g*x^2+3*f^2)/x^8*ln((e*x^2+d)^p)-1/48*(6*ln(c)*d^4*f^2+3*I*Pi*d^4*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+3*I*Pi*d^4*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+12*ln(c)*d^4*g^2*x^4-8*I*Pi*d^4*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+12*d^3*e*g^2*p*x^6+6*d*e^3*f^2*p*x^6-3*d^2*e^2*f^2*p*x^4+2*d^3*e*f^2*p*x^2-6*I*Pi*d^4*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3-3*I*Pi*d^4*f^2*csgn(I*c*(e*x^2+d)^p)^3+6*I*Pi*d^4*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-6*ln(-e*x^2-d)*e^4*f^2*p*x^8+12*ln(x)*e^4*f^2*p*x^8+16*ln(c)*d^4*f*g*x^2-16*d^2*e^2*f*g*p*x^6+8*d^3*e*f*g*p*x^4-8*I*Pi*d^4*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3-3*I*Pi*d^4*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+6*I*Pi*d^4*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-6*I*Pi*d^4*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+8*I*Pi*d^4*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+8*I*Pi*d^4*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-12*ln(-e*x^2-d)*d^2*e^2*g^2*p*x^8+24*ln(x)*d^2*e^2*g^2*p*x^8+16*ln(-e*x^2-d)*d*e^3*f*g*p*x^8-32*ln(x)*d*e^3*f*g*p*x^8)/d^4/x^8","C"
331,1,748,235,0.529000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^11,x)","-\frac{\left(10 g^{2} x^{4}+15 f g \,x^{2}+6 f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{60 x^{10}}+\frac{-12 d^{5} f^{2} \ln \left(c \right)-30 d^{2} e^{3} f g p \,x^{8}+15 d^{3} e^{2} f g p \,x^{6}-10 d^{4} e f g p \,x^{4}+20 d^{3} e^{2} g^{2} p \,x^{8}+12 d \,e^{4} f^{2} p \,x^{8}-10 d^{4} e \,g^{2} p \,x^{6}-6 d^{2} e^{3} f^{2} p \,x^{6}+4 d^{3} e^{2} f^{2} p \,x^{4}-3 d^{4} e \,f^{2} p \,x^{2}+24 e^{5} f^{2} p \,x^{10} \ln \left(x \right)-12 e^{5} f^{2} p \,x^{10} \ln \left(e \,x^{2}+d \right)-30 d^{5} f g \,x^{2} \ln \left(c \right)-20 d^{5} g^{2} x^{4} \ln \left(c \right)+10 i \pi  \,d^{5} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-15 i \pi  \,d^{5} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-15 i \pi  \,d^{5} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+10 i \pi  \,d^{5} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-6 i \pi  \,d^{5} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-6 i \pi  \,d^{5} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+40 d^{2} e^{3} g^{2} p \,x^{10} \ln \left(x \right)-60 d \,e^{4} f g p \,x^{10} \ln \left(x \right)+30 d \,e^{4} f g p \,x^{10} \ln \left(e \,x^{2}+d \right)+15 i \pi  \,d^{5} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+6 i \pi  \,d^{5} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-20 d^{2} e^{3} g^{2} p \,x^{10} \ln \left(e \,x^{2}+d \right)-10 i \pi  \,d^{5} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-10 i \pi  \,d^{5} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+15 i \pi  \,d^{5} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+6 i \pi  \,d^{5} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{120 d^{5} x^{10}}"," ",0,"-1/60*(10*g^2*x^4+15*f*g*x^2+6*f^2)/x^10*ln((e*x^2+d)^p)+1/120*(-12*ln(c)*d^5*f^2-30*d^2*e^3*f*g*p*x^8+15*d^3*e^2*f*g*p*x^6-10*d^4*e*f*g*p*x^4+20*d^3*e^2*g^2*p*x^8+12*d*e^4*f^2*p*x^8-10*d^4*e*g^2*p*x^6-6*d^2*e^3*f^2*p*x^6+4*d^3*e^2*f^2*p*x^4-3*d^4*e*f^2*p*x^2+24*ln(x)*e^5*f^2*p*x^10-12*ln(e*x^2+d)*e^5*f^2*p*x^10-30*ln(c)*d^5*f*g*x^2-20*ln(c)*d^5*g^2*x^4+15*I*Pi*d^5*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+10*I*Pi*d^5*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3-6*I*Pi*d^5*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-15*I*Pi*d^5*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-6*I*Pi*d^5*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+6*I*Pi*d^5*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+6*I*Pi*d^5*f^2*csgn(I*c*(e*x^2+d)^p)^3+40*ln(x)*d^2*e^3*g^2*p*x^10-60*ln(x)*d*e^4*f*g*p*x^10+30*ln(e*x^2+d)*d*e^4*f*g*p*x^10-15*I*Pi*d^5*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+10*I*Pi*d^5*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-20*ln(e*x^2+d)*d^2*e^3*g^2*p*x^10-10*I*Pi*d^5*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+15*I*Pi*d^5*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3-10*I*Pi*d^5*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2)/d^5/x^10","C"
332,1,761,224,0.535000," ","int(x^2*(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\frac{g^{2} x^{7} \ln \left(c \right)}{7}+\frac{f^{2} x^{3} \ln \left(c \right)}{3}+\frac{2 f g \,x^{5} \ln \left(c \right)}{5}-\frac{2 g^{2} p \,x^{7}}{49}-\frac{2 f^{2} p \,x^{3}}{9}-\frac{\sqrt{-d e}\, d \,f^{2} p \ln \left(-d +\sqrt{-d e}\, x \right)}{3 e^{2}}+\frac{\sqrt{-d e}\, d^{3} g^{2} p \ln \left(-d -\sqrt{-d e}\, x \right)}{7 e^{4}}-\frac{\sqrt{-d e}\, d^{3} g^{2} p \ln \left(-d +\sqrt{-d e}\, x \right)}{7 e^{4}}+\frac{\sqrt{-d e}\, d \,f^{2} p \ln \left(-d -\sqrt{-d e}\, x \right)}{3 e^{2}}+\frac{i \pi  f g \,x^{5} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{5}-\frac{i \pi  \,f^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6}-\frac{4 f g p \,x^{5}}{25}+\frac{2 d^{3} g^{2} p x}{7 e^{3}}+\left(\frac{1}{7} g^{2} x^{7}+\frac{2}{5} f g \,x^{5}+\frac{1}{3} f^{2} x^{3}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{2 d^{2} g^{2} p \,x^{3}}{21 e^{2}}+\frac{2 d \,g^{2} p \,x^{5}}{35 e}+\frac{2 \sqrt{-d e}\, d^{2} f g p \ln \left(-d +\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{2 \sqrt{-d e}\, d^{2} f g p \ln \left(-d -\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{i \pi  f g \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{5}+\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}+\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{14}-\frac{i \pi  f g \,x^{5} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{5}+\frac{i \pi  \,f^{2} x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{i \pi  \,f^{2} x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6}+\frac{2 d \,f^{2} p x}{3 e}-\frac{i \pi  \,f^{2} x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6}-\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{14}-\frac{i \pi  \,g^{2} x^{7} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{14}+\frac{i \pi  f g \,x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{5}-\frac{4 d^{2} f g p x}{5 e^{2}}+\frac{4 d f g p \,x^{3}}{15 e}"," ",0,"1/7*g^2*x^7*ln(c)+1/3*ln(c)*f^2*x^3+2/5*ln(c)*f*g*x^5-2/49*g^2*p*x^7-2/9*f^2*p*x^3-1/3/e^2*(-d*e)^(1/2)*p*d*ln(-d+(-d*e)^(1/2)*x)*f^2+1/7/e^4*(-d*e)^(1/2)*p*d^3*ln(-d-(-d*e)^(1/2)*x)*g^2-1/7/e^4*(-d*e)^(1/2)*p*d^3*ln(-d+(-d*e)^(1/2)*x)*g^2+1/3/e^2*(-d*e)^(1/2)*p*d*ln(-d-(-d*e)^(1/2)*x)*f^2-1/5*I*Pi*f*g*x^5*csgn(I*c*(e*x^2+d)^p)^3+1/14*I*Pi*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/14*I*Pi*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/6*I*Pi*f^2*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/6*I*Pi*f^2*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-4/25*f*g*p*x^5+2/7*d^3/e^3*g^2*p*x+(1/7*g^2*x^7+2/5*f*g*x^5+1/3*f^2*x^3)*ln((e*x^2+d)^p)-2/21*d^2/e^2*g^2*p*x^3+2/35*d/e*g^2*p*x^5+2/5/e^3*(-d*e)^(1/2)*p*d^2*ln(-d+(-d*e)^(1/2)*x)*f*g-2/5/e^3*(-d*e)^(1/2)*p*d^2*ln(-d-(-d*e)^(1/2)*x)*f*g-1/6*I*Pi*f^2*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/5*I*Pi*f*g*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+2/3*d*f^2*p*x/e-1/14*I*Pi*g^2*x^7*csgn(I*c*(e*x^2+d)^p)^3-1/6*I*Pi*f^2*x^3*csgn(I*c*(e*x^2+d)^p)^3-1/14*I*Pi*g^2*x^7*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/5*I*Pi*f*g*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/5*I*Pi*f*g*x^5*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-4/5*d^2*f*g*p*x/e^2+4/15*d*f*g*p*x^3/e","C"
333,1,686,179,0.094000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","-\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{10}-\frac{\sqrt{-d e}\, f^{2} p \ln \left(d +\sqrt{-d e}\, x \right)}{e}+\frac{\sqrt{-d e}\, f^{2} p \ln \left(d -\sqrt{-d e}\, x \right)}{e}-2 f^{2} p x -\frac{2 g^{2} p \,x^{5}}{25}+\frac{g^{2} x^{5} \ln \left(c \right)}{5}+f^{2} x \ln \left(c \right)+\frac{\sqrt{-d e}\, d^{2} g^{2} p \ln \left(d -\sqrt{-d e}\, x \right)}{5 e^{3}}+\left(\frac{1}{5} g^{2} x^{5}+\frac{2}{3} f g \,x^{3}+f^{2} x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)-\frac{\sqrt{-d e}\, d^{2} g^{2} p \ln \left(d +\sqrt{-d e}\, x \right)}{5 e^{3}}-\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{3}+\frac{2 f g \,x^{3} \ln \left(c \right)}{3}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}+\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2}-\frac{4 f g p \,x^{3}}{9}-\frac{2 d^{2} g^{2} p x}{5 e^{2}}+\frac{2 d \,g^{2} p \,x^{3}}{15 e}-\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{10}+\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{3}+\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{3}-\frac{i \pi  \,f^{2} x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2}-\frac{i \pi  \,f^{2} x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2}+\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}+\frac{i \pi  \,g^{2} x^{5} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{10}-\frac{i \pi  f g \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{3}+\frac{4 d f g p x}{3 e}+\frac{2 \sqrt{-d e}\, d f g p \ln \left(d +\sqrt{-d e}\, x \right)}{3 e^{2}}-\frac{2 \sqrt{-d e}\, d f g p \ln \left(d -\sqrt{-d e}\, x \right)}{3 e^{2}}"," ",0,"-1/3*I*Pi*f*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/2*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^3*x-1/e*(-d*e)^(1/2)*p*ln(d+(-d*e)^(1/2)*x)*f^2+1/e*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*f^2-1/10*I*Pi*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^3-2*f^2*p*x-2/25*g^2*p*x^5+1/5*ln(c)*g^2*x^5+ln(c)*f^2*x+1/5/e^3*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*g^2*d^2+(1/5*g^2*x^5+2/3*f*g*x^3+f^2*x)*ln((e*x^2+d)^p)-1/3*I*Pi*f*g*x^3*csgn(I*c*(e*x^2+d)^p)^3+1/2*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x+1/2*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x-1/5/e^3*(-d*e)^(1/2)*p*ln(d+(-d*e)^(1/2)*x)*g^2*d^2+1/10*I*Pi*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/10*I*Pi*g^2*x^5*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+2/3*f*g*x^3*ln(c)-4/9*f*g*p*x^3-2/5*d^2/e^2*g^2*p*x+2/15*d/e*g^2*p*x^3+4/3*d/e*f*g*p*x+2/3/e^2*(-d*e)^(1/2)*p*ln(d+(-d*e)^(1/2)*x)*d*f*g-2/3/e^2*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*d*f*g-1/10*I*Pi*g^2*x^5*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+1/3*I*Pi*f*g*x^3*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+1/3*I*Pi*f*g*x^3*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-1/2*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x","C"
334,1,742,146,0.588000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^2,x)","-\frac{\left(-g^{2} x^{4}-6 f g \,x^{2}+3 f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{3 x}-\frac{3 i \pi  d \,e^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  d \,e^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  d \,e^{2} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  d \,e^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+18 i \pi  d \,e^{2} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-18 i \pi  d \,e^{2} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-18 i \pi  d \,e^{2} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+18 i \pi  d \,e^{2} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+4 d \,e^{2} g^{2} p \,x^{4}-6 d \,e^{2} g^{2} x^{4} \ln \left(c \right)-12 d^{2} e \,g^{2} p \,x^{2}-9 i \pi  d \,e^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+9 i \pi  d \,e^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+9 i \pi  d \,e^{2} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-9 i \pi  d \,e^{2} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+72 d \,e^{2} f g p \,x^{2}-36 d \,e^{2} f g \,x^{2} \ln \left(c \right)-6 \sqrt{-d e}\, d^{2} g^{2} p x \ln \left(-d -\sqrt{-d e}\, x \right)+6 \sqrt{-d e}\, d^{2} g^{2} p x \ln \left(d -\sqrt{-d e}\, x \right)+36 \sqrt{-d e}\, d e f g p x \ln \left(-d -\sqrt{-d e}\, x \right)-36 \sqrt{-d e}\, d e f g p x \ln \left(d -\sqrt{-d e}\, x \right)+18 \sqrt{-d e}\, e^{2} f^{2} p x \ln \left(-d -\sqrt{-d e}\, x \right)-18 \sqrt{-d e}\, e^{2} f^{2} p x \ln \left(d -\sqrt{-d e}\, x \right)+18 d \,e^{2} f^{2} \ln \left(c \right)}{18 d \,e^{2} x}"," ",0,"-1/3*(-g^2*x^4-6*f*g*x^2+3*f^2)/x*ln((e*x^2+d)^p)-1/18*(-18*I*Pi*f*g*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*x^2*e^2*d-18*I*Pi*f*g*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*x^2*e^2*d+18*I*Pi*f*g*csgn(I*c*(e*x^2+d)^p)^3*x^2*e^2*d+9*I*Pi*d*e^2*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-3*I*Pi*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*e^2*d+18*I*Pi*f*g*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*x^2*e^2*d-9*I*Pi*d*e^2*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+9*I*Pi*d*e^2*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-6*ln(c)*g^2*x^4*e^2*d+3*I*Pi*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*e^2*d+3*I*Pi*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3*e^2*d-3*I*Pi*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*e^2*d-9*I*Pi*d*e^2*f^2*csgn(I*c*(e*x^2+d)^p)^3+4*d*e^2*g^2*p*x^4-36*ln(c)*f*g*x^2*e^2*d-6*(-d*e)^(1/2)*d^2*p*ln(-d-(-d*e)^(1/2)*x)*g^2*x+36*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*f*g*e*d*x+18*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*f^2*e^2*x+6*(-d*e)^(1/2)*d^2*p*ln(d-(-d*e)^(1/2)*x)*g^2*x-36*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*f*g*e*d*x-18*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*f^2*e^2*x-12*d^2*e*g^2*p*x^2+72*d*f*g*p*x^2*e^2+18*ln(c)*d*e^2*f^2)/e^2/d/x","C"
335,1,740,139,0.615000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^4,x)","-\frac{\left(-3 g^{2} x^{4}+6 f g \,x^{2}+f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{3 x^{3}}+\frac{-3 i \pi  \,d^{2} e \,g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+3 i \pi  \,d^{2} e \,g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{2} e \,g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-3 i \pi  \,d^{2} e \,g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+6 i \pi  \,d^{2} e f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-6 i \pi  \,d^{2} e f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-6 i \pi  \,d^{2} e f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+6 i \pi  \,d^{2} e f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-12 d^{2} e \,g^{2} p \,x^{4}+6 d^{2} e \,g^{2} x^{4} \ln \left(c \right)-6 \sqrt{-d e}\, d^{2} g^{2} p \,x^{3} \ln \left(-d -\sqrt{-d e}\, x \right)+6 \sqrt{-d e}\, d^{2} g^{2} p \,x^{3} \ln \left(d -\sqrt{-d e}\, x \right)-12 \sqrt{-d e}\, d e f g p \,x^{3} \ln \left(-d -\sqrt{-d e}\, x \right)+12 \sqrt{-d e}\, d e f g p \,x^{3} \ln \left(d -\sqrt{-d e}\, x \right)+2 \sqrt{-d e}\, e^{2} f^{2} p \,x^{3} \ln \left(-d -\sqrt{-d e}\, x \right)-2 \sqrt{-d e}\, e^{2} f^{2} p \,x^{3} \ln \left(d -\sqrt{-d e}\, x \right)+i \pi  \,d^{2} e \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-i \pi  \,d^{2} e \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  \,d^{2} e \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  \,d^{2} e \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-12 d^{2} e f g \,x^{2} \ln \left(c \right)-4 d \,e^{2} f^{2} p \,x^{2}-2 d^{2} e \,f^{2} \ln \left(c \right)}{6 d^{2} e \,x^{3}}"," ",0,"-1/3*(-3*g^2*x^4+6*f*g*x^2+f^2)/x^3*ln((e*x^2+d)^p)+1/6*(-3*I*Pi*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*e*d^2-3*I*Pi*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3*e*d^2+6*I*Pi*d^2*e*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+I*Pi*d^2*e*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+6*I*Pi*d^2*e*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*d^2*e*f^2*csgn(I*c*(e*x^2+d)^p)^3-6*I*Pi*d^2*e*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-6*I*Pi*d^2*e*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+6*ln(c)*g^2*x^4*e*d^2-I*Pi*d^2*e*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+3*I*Pi*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*e*d^2-I*Pi*d^2*e*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+3*I*Pi*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*e*d^2+6*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*g^2*d^2*x^3+12*(-d*e)^(1/2)*p*ln(d-(-d*e)^(1/2)*x)*f*g*e*d*x^3-2*(-d*e)^(1/2)*e^2*p*ln(d-(-d*e)^(1/2)*x)*f^2*x^3-6*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*g^2*d^2*x^3-12*(-d*e)^(1/2)*p*ln(-d-(-d*e)^(1/2)*x)*f*g*e*d*x^3+2*(-d*e)^(1/2)*e^2*p*ln(-d-(-d*e)^(1/2)*x)*f^2*x^3-12*d^2*e*g^2*p*x^4-12*ln(c)*d^2*e*f*g*x^2-4*d*e^2*f^2*p*x^2-2*ln(c)*d^2*e*f^2)/e/d^2/x^3","C"
336,1,753,162,0.797000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^6,x)","-\frac{\left(15 g^{2} x^{4}+10 f g \,x^{2}+3 f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{15 x^{5}}+\frac{-3 i \pi  \,d^{2} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-15 i \pi  \,d^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-15 i \pi  \,d^{2} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+10 i \pi  \,d^{2} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+10 i \pi  \,d^{2} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+15 i \pi  \,d^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-10 i \pi  \,d^{2} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-10 i \pi  \,d^{2} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-30 d^{2} g^{2} x^{4} \ln \left(c \right)-40 d e f g p \,x^{4}+12 e^{2} f^{2} p \,x^{4}+2 d^{2} x^{5} \RootOf \left(225 d^{4} e \,g^{4} p^{2}-300 d^{3} e^{2} f \,g^{3} p^{2}+190 d^{2} e^{3} f^{2} g^{2} p^{2}-60 d \,e^{4} f^{3} g \,p^{2}+9 e^{5} f^{4} p^{2}+d^{5} \textit{\_Z}^{2}\right) \ln \left(\left(-15 d^{5} g^{2} p +10 d^{4} e f g p -3 d^{3} e^{2} f^{2} p \right) \RootOf \left(225 d^{4} e \,g^{4} p^{2}-300 d^{3} e^{2} f \,g^{3} p^{2}+190 d^{2} e^{3} f^{2} g^{2} p^{2}-60 d \,e^{4} f^{3} g \,p^{2}+9 e^{5} f^{4} p^{2}+d^{5} \textit{\_Z}^{2}\right)+\left(450 d^{4} e \,g^{4} p^{2}-600 d^{3} e^{2} f \,g^{3} p^{2}+380 d^{2} e^{3} f^{2} g^{2} p^{2}-120 d \,e^{4} f^{3} g \,p^{2}+18 e^{5} f^{4} p^{2}+3 \RootOf \left(225 d^{4} e \,g^{4} p^{2}-300 d^{3} e^{2} f \,g^{3} p^{2}+190 d^{2} e^{3} f^{2} g^{2} p^{2}-60 d \,e^{4} f^{3} g \,p^{2}+9 e^{5} f^{4} p^{2}+d^{5} \textit{\_Z}^{2}\right)^{2} d^{5}\right) x \right)+15 i \pi  \,d^{2} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+3 i \pi  \,d^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-3 i \pi  \,d^{2} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+3 i \pi  \,d^{2} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-20 d^{2} f g \,x^{2} \ln \left(c \right)-4 d e \,f^{2} p \,x^{2}-6 d^{2} f^{2} \ln \left(c \right)}{30 d^{2} x^{5}}"," ",0,"-1/15*(15*g^2*x^4+10*f*g*x^2+3*f^2)/x^5*ln((e*x^2+d)^p)+1/30*(-3*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*d^2-15*I*Pi*d^2*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-15*I*Pi*d^2*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+10*I*Pi*d^2*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+10*I*Pi*d^2*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3+15*I*Pi*d^2*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-10*I*Pi*d^2*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-10*I*Pi*d^2*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-30*ln(c)*d^2*g^2*x^4+15*I*Pi*d^2*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3+3*I*Pi*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*d^2-3*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*d^2+3*I*Pi*f^2*csgn(I*c*(e*x^2+d)^p)^3*d^2-40*d*e*f*g*p*x^4+12*e^2*f^2*p*x^4+2*sum(_R*ln((450*d^4*e*g^4*p^2-600*d^3*e^2*f*g^3*p^2+380*d^2*e^3*f^2*g^2*p^2-120*d*e^4*f^3*g*p^2+18*e^5*f^4*p^2+3*_R^2*d^5)*x+(-15*d^5*g^2*p+10*d^4*e*f*g*p-3*d^3*e^2*f^2*p)*_R),_R=RootOf(225*d^4*e*g^4*p^2-300*d^3*e^2*f*g^3*p^2+190*d^2*e^3*f^2*g^2*p^2-60*d*e^4*f^3*g*p^2+9*e^5*f^4*p^2+_Z^2*d^5))*d^2*x^5-20*ln(c)*d^2*f*g*x^2-4*d*e*f^2*p*x^2-6*ln(c)*f^2*d^2)/d^2/x^5","C"
337,1,784,204,0.533000," ","int((g*x^2+f)^2*ln(c*(e*x^2+d)^p)/x^8,x)","-\frac{\left(35 g^{2} x^{4}+42 f g \,x^{2}+15 f^{2}\right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{105 x^{7}}-\frac{30 d^{4} f^{2} \ln \left(c \right)-42 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-15 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+70 d^{4} g^{2} x^{4} \ln \left(c \right)+15 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+15 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+140 d^{3} e \,g^{2} p \,x^{6}+60 d \,e^{3} f^{2} p \,x^{6}-20 d^{2} e^{2} f^{2} p \,x^{4}+12 d^{3} e \,f^{2} p \,x^{2}-15 i \pi  \,d^{4} f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-70 \sqrt{-d e}\, d^{2} e \,g^{2} p \,x^{7} \ln \left(-e x +\sqrt{-d e}\right)+70 \sqrt{-d e}\, d^{2} e \,g^{2} p \,x^{7} \ln \left(-e x -\sqrt{-d e}\right)+84 d^{4} f g \,x^{2} \ln \left(c \right)-168 d^{2} e^{2} f g p \,x^{6}+56 d^{3} e f g p \,x^{4}+35 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+35 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-42 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+84 \sqrt{-d e}\, d \,e^{2} f g p \,x^{7} \ln \left(-e x +\sqrt{-d e}\right)-84 \sqrt{-d e}\, d \,e^{2} f g p \,x^{7} \ln \left(-e x -\sqrt{-d e}\right)-35 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+42 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+42 i \pi  \,d^{4} f g \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-35 i \pi  \,d^{4} g^{2} x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}-30 \sqrt{-d e}\, e^{3} f^{2} p \,x^{7} \ln \left(-e x +\sqrt{-d e}\right)+30 \sqrt{-d e}\, e^{3} f^{2} p \,x^{7} \ln \left(-e x -\sqrt{-d e}\right)}{210 d^{4} x^{7}}"," ",0,"-1/105*(35*g^2*x^4+42*f*g*x^2+15*f^2)/x^7*ln((e*x^2+d)^p)-1/210*(30*d^4*f^2*ln(c)+70*d^4*g^2*x^4*ln(c)-42*I*Pi*d^4*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^3-15*I*Pi*d^4*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-35*I*Pi*d^4*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^3+15*I*Pi*d^4*f^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+140*d^3*e*g^2*p*x^6+60*d*e^3*f^2*p*x^6-20*d^2*e^2*f^2*p*x^4+12*d^3*e*f^2*p*x^2+42*I*Pi*d^4*f*g*x^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-35*I*Pi*d^4*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+42*I*Pi*d^4*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+15*I*Pi*d^4*f^2*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-70*(-d*e)^(1/2)*p*e*ln(-e*x+(-d*e)^(1/2))*g^2*d^2*x^7+70*(-d*e)^(1/2)*p*e*ln(-e*x-(-d*e)^(1/2))*g^2*d^2*x^7+84*d^4*f*g*x^2*ln(c)-42*I*Pi*d^4*f*g*x^2*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+35*I*Pi*d^4*g^2*x^4*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+35*I*Pi*d^4*g^2*x^4*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-168*d^2*e^2*f*g*p*x^6+56*d^3*e*f*g*p*x^4+84*(-d*e)^(1/2)*p*e^2*ln(-e*x+(-d*e)^(1/2))*f*g*d*x^7-84*(-d*e)^(1/2)*p*e^2*ln(-e*x-(-d*e)^(1/2))*f*g*d*x^7-15*I*Pi*d^4*f^2*csgn(I*c*(e*x^2+d)^p)^3-30*(-d*e)^(1/2)*p*e^3*ln(-e*x+(-d*e)^(1/2))*f^2*x^7+30*(-d*e)^(1/2)*p*e^3*ln(-e*x-(-d*e)^(1/2))*f^2*x^7)/d^4/x^7","C"
338,1,902,172,1.116000," ","int(x^5*ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 g^{2}}-\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g^{2}}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{8 g}-\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8 g}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{3}}-\frac{p \,x^{4}}{8 g}+\frac{x^{4} \ln \left(c \right)}{4 g}+\frac{x^{4} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{4 g}+\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{8 g}-\frac{i \pi  \,x^{4} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{8 g}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{3}}+\frac{i \pi  f \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 g^{2}}+\frac{d p \,x^{2}}{4 e g}+\frac{f p \,x^{2}}{2 g^{2}}-\frac{f \,x^{2} \ln \left(c \right)}{2 g^{2}}-\frac{f \,x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 g^{2}}-\frac{d^{2} p \ln \left(e \,x^{2}+d \right)}{4 e^{2} g}-\frac{d f p \ln \left(e \,x^{2}+d \right)}{2 e \,g^{2}}-\frac{f^{2} p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 g^{3}}+\frac{f^{2} \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{f^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}"," ",0,"1/4*ln((e*x^2+d)^p)/g*x^4-1/2*ln((e*x^2+d)^p)/g^2*f*x^2+1/2*ln((e*x^2+d)^p)*f^2/g^3*ln(g*x^2+f)-1/2*p*f^2/g^3*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))-1/8*p*x^4/g+1/4*d*p*x^2/e/g+1/2*f*p*x^2/g^2-1/4*d^2*p*ln(e*x^2+d)/e^2/g-1/2*p/e/g^2*d*ln(e*x^2+d)*f+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g^2*f*x^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g^2*f*x^2-1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g*x^4-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g^2*f*x^2-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2/g^3*ln(g*x^2+f)+1/8*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g*x^4+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2/g^3*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2/g^3*ln(g*x^2+f)+1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g*x^4-1/8*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g*x^4+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2/g^3*ln(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g^2*f*x^2+1/4*ln(c)/g*x^4-1/2*ln(c)/g^2*f*x^2+1/2*ln(c)*f^2/g^3*ln(g*x^2+f)","C"
339,1,672,104,0.768000," ","int(x^3*ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 g}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 g}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{p \,x^{2}}{2 g}+\frac{x^{2} \ln \left(c \right)}{2 g}+\frac{x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 g}+\frac{d p \ln \left(e \,x^{2}+d \right)}{2 e g}+\frac{f p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 g^{2}}-\frac{f \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}-\frac{f \ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}"," ",0,"1/2*ln((e*x^2+d)^p)/g*x^2-1/2*ln((e*x^2+d)^p)*f/g^2*ln(g*x^2+f)-1/2*p*x^2/g+1/2*p/e/g*d*ln(e*x^2+d)+1/2*p*f/g^2*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g*x^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f/g^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g*x^2+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f/g^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g*x^2+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f/g^2*ln(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g*x^2-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f/g^2*ln(g*x^2+f)+1/2*ln(c)/g*x^2-1/2*ln(c)*f/g^2*ln(g*x^2+f)","C"
340,1,472,66,0.686000," ","int(x*ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 g}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g}-\frac{p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 g}+\frac{\ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g}+\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 g}"," ",0,"1/2/g*ln(g*x^2+f)*ln((e*x^2+d)^p)-1/2/g*p*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))+1/4*I/g*ln(g*x^2+f)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/4*I/g*ln(g*x^2+f)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/4*I/g*ln(g*x^2+f)*Pi*csgn(I*c*(e*x^2+d)^p)^3+1/4*I/g*ln(g*x^2+f)*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/2/g*ln(g*x^2+f)*ln(c)","C"
341,1,732,111,0.635000," ","int(ln(c*(e*x^2+d)^p)/x/(g*x^2+f),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2 f}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 f}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f}-\frac{p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f}-\frac{p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f}-\frac{p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f}-\frac{p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f}+\frac{p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 f}+\frac{\ln \left(c \right) \ln \left(x \right)}{f}-\frac{\ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f}+\frac{\ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{f}-\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 f}"," ",0,"-1/2*ln((e*x^2+d)^p)/f*ln(g*x^2+f)+ln((e*x^2+d)^p)/f*ln(x)-p/f*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p/f*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p/f*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p/f*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*p/f*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f*ln(x)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f*ln(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f*ln(g*x^2+f)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f*ln(x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f*ln(x)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f*ln(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f*ln(g*x^2+f)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f*ln(x)-1/2*ln(c)/f*ln(g*x^2+f)+1/f*ln(c)*ln(x)","C"
342,1,942,164,0.675000," ","int(ln(c*(e*x^2+d)^p)/x^3/(g*x^2+f),x)","-\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 f \,x^{2}}-\frac{g \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{f^{2}}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{g \ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}-\frac{\ln \left(c \right)}{2 f \,x^{2}}-\frac{g p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 f^{2}}-\frac{g \ln \left(c \right) \ln \left(x \right)}{f^{2}}+\frac{g \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 f \,x^{2}}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 f \,x^{2}}+\frac{e p \ln \left(x \right)}{d f}-\frac{e p \ln \left(e \,x^{2}+d \right)}{2 d f}+\frac{g p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{g p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{g p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{g p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 f \,x^{2}}-\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 f \,x^{2}}+\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f^{2}}"," ",0,"-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^2*ln(g*x^2+f)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^2*ln(x)-1/2*ln((e*x^2+d)^p)/f/x^2-ln((e*x^2+d)^p)*g/f^2*ln(x)-1/2*p*g/f^2*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))+p*g/f^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+p*g/f^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f/x^2+1/2*ln((e*x^2+d)^p)*g/f^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f/x^2+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^2*ln(x)-1/2*ln(c)/f/x^2-ln(c)*g/f^2*ln(x)+1/2*ln(c)*g/f^2*ln(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^2*ln(g*x^2+f)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^2*ln(x)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f/x^2+e*p*ln(x)/d/f-1/2*e*p*ln(e*x^2+d)/d/f+p*g/f^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+p*g/f^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^2*ln(g*x^2+f)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^2*ln(x)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f/x^2","C"
343,1,1011,490,0.497000," ","int(x^4*ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{f x \ln \left(c \right)}{g^{2}}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) x^{3}}{3 g}+\frac{p \,x^{3} \ln \left(e \,x^{2}+d \right)}{3 g}+\frac{i \pi  \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, g^{2}}+\frac{i \pi  \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, g^{2}}+\frac{f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, g^{2}}-\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) f x}{g^{2}}-\frac{2 p \,x^{3}}{9 g}-\frac{i \pi  \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}\, g^{2}}-\frac{2 d f p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, g^{2}}-\frac{2 d^{2} p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{3 \sqrt{d e}\, e g}+\frac{x^{3} \ln \left(c \right)}{3 g}+\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 g^{2}}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 g}+\frac{2 f p x}{g^{2}}+p \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(g \,\textit{\_Z}^{2}+f \right)}{\sum}\frac{\left(\ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right) \ln \left(e \,x^{2}+d \right)-2 \left(\frac{\left(\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right)}{2 e}+\frac{\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)}{2 e}\right) e \right) f^{2}}{2 \underline{\hspace{1.25 ex}}\alpha  \,g^{3}}\right)-\frac{f p x \ln \left(e \,x^{2}+d \right)}{g^{2}}+\frac{2 d p x}{3 e g}+\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 g}+\frac{i \pi  f x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 g^{2}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6 g}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, g^{2}}-\frac{i \pi  \,x^{3} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6 g}-\frac{i \pi  \,f^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}\, g^{2}}-\frac{i \pi  f x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 g^{2}}-\frac{i \pi  f x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 g^{2}}"," ",0,"-ln(c)/g^2*x*f+1/3*(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g*x^3+1/3*p/g*x^3*ln(e*x^2+d)+ln(c)*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g^2*x*f-2/9*p*x^3/g+1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g*x^3+1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g*x^3+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g^2*x*f-2*p*f/g^2*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g^2*x*f+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-2/3*p/g*d^2/e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/3*ln(c)/g*x^3-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g^2*x*f-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+2*f*p*x/g^2-p*f/g^2*x*ln(e*x^2+d)+2/3*d*p*x/e/g+p*Sum(1/2*(ln(-_alpha+x)*ln(e*x^2+d)-2*e*(1/2*ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e+1/2*(dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e))*f^2/g^3/_alpha,_alpha=RootOf(_Z^2*g+f))+(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))*f^2/g^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g*x^3-1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g*x^3-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g^2*x*f","C"
344,1,746,424,0.495000," ","int(x^2*ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","\frac{i \pi  f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}\, g}-\frac{i \pi  f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, g}-\frac{i \pi  f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, g}+\frac{i \pi  f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}\, g}-\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 g}+\frac{i \pi  x \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 g}+\frac{i \pi  x \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 g}-\frac{i \pi  x \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 g}+\frac{2 d p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, g}-\frac{f \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, g}+\frac{p x \ln \left(e \,x^{2}+d \right)}{g}+p \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(g \,\textit{\_Z}^{2}+f \right)}{\sum}\left(-\frac{\left(\ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right) \ln \left(e \,x^{2}+d \right)-2 \left(\frac{\left(\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right)}{2 e}+\frac{\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)}{2 e}\right) e \right) f}{2 \underline{\hspace{1.25 ex}}\alpha  \,g^{2}}\right)\right)-\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) f \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, g}-\frac{2 p x}{g}+\frac{x \ln \left(c \right)}{g}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) x}{g}"," ",0,"(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/g*x-(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+p/g*x*ln(e*x^2+d)-2*p*x/g+2*p/g*d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+p*Sum(-1/2*(ln(-_alpha+x)*ln(e*x^2+d)-2*e*(1/2*ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e+1/2*(dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e))*f/g^2/_alpha,_alpha=RootOf(_Z^2*g+f))-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g*x-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g*x+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g*x-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g*x+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+ln(c)/g*x-ln(c)*f/g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)","C"
345,1,504,380,0.092000," ","int(ln(c*(e*x^2+d)^p)/(g*x^2+f),x)","-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}+\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}}-\frac{i \pi  \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}}+\frac{\arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}}+\frac{p \left(\ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right) \ln \left(e \,x^{2}+d \right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(g \,\textit{\_Z}^{2}+f \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(g \,\textit{\_Z}^{2}+f \right) \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(g \,\textit{\_Z}^{2}+f \right)+x \right)\right)}{2 g \RootOf \left(g \,\textit{\_Z}^{2}+f \right)}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}}"," ",0,"(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*p/g*sum(1/_alpha*(ln(-_alpha+x)*ln(e*x^2+d)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2))),_alpha=RootOf(_Z^2*g+f))+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^2+d)^p)^3+1/2*I/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)+1/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)*ln(c)","C"
346,1,755,420,0.404000," ","int(ln(c*(e*x^2+d)^p)/x^2/(g*x^2+f),x)","\frac{i \pi  g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}\, f}-\frac{i \pi  g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, f}-\frac{i \pi  g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, f}+\frac{i \pi  g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}\, f}+\frac{2 e p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, f}-\frac{g \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, f}+p \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(g \,\textit{\_Z}^{2}+f \right)}{\sum}\left(-\frac{\ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right) \ln \left(e \,x^{2}+d \right)-2 \left(\frac{\left(\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right)}{2 e}+\frac{\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)}{2 e}\right) e}{2 \underline{\hspace{1.25 ex}}\alpha  f}\right)\right)-\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) g \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, f}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 f x}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 f x}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 f x}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 f x}-\frac{p \ln \left(e \,x^{2}+d \right)}{f x}-\frac{\ln \left(c \right)}{f x}-\frac{-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{f x}"," ",0,"-(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/f/x-(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-p/f/x*ln(e*x^2+d)+2*p/f*e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+p*Sum(-1/2*(ln(-_alpha+x)*ln(e*x^2+d)-2*e*(1/2*ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e+1/2*(dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e))/f/_alpha,_alpha=RootOf(_Z^2*g+f))-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f/x-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f/x+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f/x+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f/x-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-ln(c)/f/x-ln(c)/f*g/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)","C"
347,1,1005,476,0.586000," ","int(ln(c*(e*x^2+d)^p)/x^4/(g*x^2+f),x)","-\frac{i \pi  \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 \sqrt{f g}\, f^{2}}+\frac{i \pi  \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, f^{2}}+\frac{i \pi  \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 \sqrt{f g}\, f^{2}}-\frac{i \pi  \,g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 \sqrt{f g}\, f^{2}}-\frac{2 e^{2} p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{3 \sqrt{d e}\, d f}-\frac{2 e g p \arctan \left(\frac{e x}{\sqrt{d e}}\right)}{\sqrt{d e}\, f^{2}}+\frac{g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right) \ln \left(c \right)}{\sqrt{f g}\, f^{2}}+p \left(\munderset{\underline{\hspace{1.25 ex}}\alpha  =\RootOf \left(g \,\textit{\_Z}^{2}+f \right)}{\sum}\frac{\left(\ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right) \ln \left(e \,x^{2}+d \right)-2 \left(\frac{\left(\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\underline{\hspace{1.25 ex}}\alpha  +x \right)}{2 e}+\frac{\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =1\right)}\right)+\dilog \left(\frac{\underline{\hspace{1.25 ex}}\alpha  -x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \underline{\hspace{1.25 ex}}\alpha  \textit{\_Z} g e +d g -e f , \mathit{index} =2\right)}\right)}{2 e}\right) e \right) g}{2 \underline{\hspace{1.25 ex}}\alpha  \,f^{2}}\right)+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) g^{2} \arctan \left(\frac{g x}{\sqrt{f g}}\right)}{\sqrt{f g}\, f^{2}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{2 f^{2} x}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 f^{2} x}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{2 f^{2} x}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{2 f^{2} x}+\frac{g p \ln \left(e \,x^{2}+d \right)}{f^{2} x}-\frac{2 e p}{3 d f x}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{6 f \,x^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 f \,x^{3}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{6 f \,x^{3}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{6 f \,x^{3}}+\frac{g \ln \left(c \right)}{f^{2} x}-\frac{p \ln \left(e \,x^{2}+d \right)}{3 f \,x^{3}}+\frac{\left(-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)\right) g}{f^{2} x}-\frac{\ln \left(c \right)}{3 f \,x^{3}}-\frac{-p \ln \left(e \,x^{2}+d \right)+\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{3 f \,x^{3}}"," ",0,"(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/3*(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))/f/x^3+(-p*ln(e*x^2+d)+ln((e*x^2+d)^p))*g/f^2/x+p*g/f^2/x*ln(e*x^2+d)-2*p*g/f^2*e/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)+p*Sum(1/2*(ln(-_alpha+x)*ln(e*x^2+d)-2*e*(1/2*ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e+1/2*(dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=1))+dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g+d*g-e*f,index=2)))/e))*g/f^2/_alpha,_alpha=RootOf(_Z^2*g+f))-1/3*p/f/x^3*ln(e*x^2+d)-2/3*e*p/d/f/x-2/3*p/f*e^2/d/(d*e)^(1/2)*arctan(1/(d*e)^(1/2)*e*x)-1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f/x^3+1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f/x^3-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^2/x+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^2/x+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^2/x-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^2/x-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+1/6*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f/x^3-1/6*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f/x^3-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)+ln(c)*g^2/f^2/(f*g)^(1/2)*arctan(1/(f*g)^(1/2)*g*x)-1/3*ln(c)/f/x^3+ln(c)*g/f^2/x","C"
348,1,985,189,0.765000," ","int(x^5*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g^{2}}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 \left(g \,x^{2}+f \right) g^{3}}+\frac{d^{2} p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) e g}-\frac{d f p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) g^{2}}-\frac{e \,f^{2} p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) g^{3}}+\frac{e \,f^{2} p \ln \left(g \,x^{2}+f \right)}{2 \left(d g -e f \right) g^{3}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 g^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{3}}-\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 g^{2}}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{3}}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 \left(g \,x^{2}+f \right) g^{3}}-\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 g^{3}}+\frac{i \pi  \,x^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 g^{2}}-\frac{p \,x^{2}}{2 g^{2}}+\frac{x^{2} \ln \left(c \right)}{2 g^{2}}+\frac{x^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 g^{2}}-\frac{f^{2} \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g^{3}}-\frac{f^{2} \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 \left(g \,x^{2}+f \right) g^{3}}+\frac{f p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{g^{3}}-\frac{f \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{g^{3}}-\frac{f \ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{g^{3}}"," ",0,"1/2*ln((e*x^2+d)^p)/g^2*x^2-1/2*ln((e*x^2+d)^p)*f^2/g^3/(g*x^2+f)-ln((e*x^2+d)^p)*f/g^3*ln(g*x^2+f)-1/2*p*x^2/g^2+1/2*p*e/g^3*f^2/(d*g-e*f)*ln(g*x^2+f)+1/2*p/e/g/(d*g-e*f)*ln(e*x^2+d)*d^2-1/2*p/g^2/(d*g-e*f)*ln(e*x^2+d)*d*f-1/2*p*e/g^3/(d*g-e*f)*ln(e*x^2+d)*f^2+p*f/g^3*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f/g^3*ln(g*x^2+f)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f/g^3*ln(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g^2*x^2+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f^2/g^3/(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g^2*x^2-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f^2/g^3/(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f^2/g^3/(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g^2*x^2+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f^2/g^3/(g*x^2+f)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f/g^3*ln(g*x^2+f)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f/g^3*ln(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g^2*x^2+1/2*ln(c)/g^2*x^2-1/2*ln(c)*f^2/g^3/(g*x^2+f)-ln(c)*f/g^3*ln(g*x^2+f)","C"
349,1,732,145,0.759000," ","int(x^3*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","\frac{e f p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) g^{2}}-\frac{e f p \ln \left(g \,x^{2}+f \right)}{2 \left(d g -e f \right) g^{2}}-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) g^{2}}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 \left(g \,x^{2}+f \right) g^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 g^{2}}+\frac{f \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) g^{2}}+\frac{f \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 \left(g \,x^{2}+f \right) g^{2}}-\frac{p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 g^{2}}+\frac{\ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}+\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 g^{2}}"," ",0,"1/2*ln((e*x^2+d)^p)*f/g^2/(g*x^2+f)+1/2*ln((e*x^2+d)^p)/g^2*ln(g*x^2+f)-1/2*p/g^2*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))-1/2*p*e*f/g^2/(d*g-e*f)*ln(g*x^2+f)+1/2*p*e*f/g^2/(d*g-e*f)*ln(e*x^2+d)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*f/g^2/(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/g^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*f/g^2/(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/g^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*f/g^2/(g*x^2+f)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/g^2*ln(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*f/g^2/(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/g^2*ln(g*x^2+f)+1/2*ln(c)*f/g^2/(g*x^2+f)+1/2*ln(c)/g^2*ln(g*x^2+f)","C"
350,1,371,77,0.543000," ","int(x*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","-\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 \left(g \,x^{2}+f \right) g}-\frac{2 e g p \,x^{2} \ln \left(-e \,x^{2}-d \right)-2 e g p \,x^{2} \ln \left(g \,x^{2}+f \right)-i \pi  d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)+i \pi  d g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  d g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  d g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+i \pi  e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)-i \pi  e f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}-i \pi  e f \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}+i \pi  e f \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}+2 e f p \ln \left(-e \,x^{2}-d \right)-2 e f p \ln \left(g \,x^{2}+f \right)+2 d g \ln \left(c \right)-2 e f \ln \left(c \right)}{4 \left(g \,x^{2}+f \right) \left(d g -e f \right) g}"," ",0,"-1/2/g/(g*x^2+f)*ln((e*x^2+d)^p)-1/4*(I*Pi*d*g*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2-I*Pi*d*g*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)-I*Pi*d*g*csgn(I*c*(e*x^2+d)^p)^3+I*Pi*d*g*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-I*Pi*e*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2+I*Pi*e*f*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)+I*Pi*e*f*csgn(I*c*(e*x^2+d)^p)^3-I*Pi*e*f*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)-2*ln(g*x^2+f)*e*g*p*x^2+2*ln(-e*x^2-d)*e*g*p*x^2-2*ln(g*x^2+f)*e*f*p+2*ln(-e*x^2-d)*e*f*p+2*ln(c)*d*g-2*ln(c)*e*f)/g/(g*x^2+f)/(d*g-e*f)","C"
351,1,984,187,0.716000," ","int(ln(c*(e*x^2+d)^p)/x/(g*x^2+f)^2,x)","-\frac{p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}-\frac{p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{\ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f}-\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{\ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{f^{2}}+\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 \left(g \,x^{2}+f \right) f}-\frac{\ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{2 f^{2}}+\frac{\ln \left(c \right) \ln \left(x \right)}{f^{2}}-\frac{p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}-\frac{p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{2}}+\frac{p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{2 f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 \left(g \,x^{2}+f \right) f}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{2 f^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) f}-\frac{e p \ln \left(g \,x^{2}+f \right)}{2 \left(d g -e f \right) f}+\frac{e p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) f}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 \left(g \,x^{2}+f \right) f}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{4 f^{2}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2 f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{4 f^{2}}"," ",0,"1/2*ln(c)/f/(g*x^2+f)-1/2*ln((e*x^2+d)^p)/f^2*ln(g*x^2+f)+ln((e*x^2+d)^p)/f^2*ln(x)+1/2*ln((e*x^2+d)^p)/f/(g*x^2+f)-1/2*ln(c)/f^2*ln(g*x^2+f)+ln(c)/f^2*ln(x)-p/f^2*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p/f^2*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+1/2*p/f^2*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f/(g*x^2+f)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f^2*ln(x)-p/f^2*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p/f^2*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f^2*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f/(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f/(g*x^2+f)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f^2*ln(x)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f^2*ln(g*x^2+f)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f^2*ln(x)-1/2*p*e/f/(d*g-e*f)*ln(g*x^2+f)+1/2*p*e/f/(d*g-e*f)*ln(e*x^2+d)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f^2*ln(g*x^2+f)-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f^2*ln(x)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f/(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f^2*ln(g*x^2+f)","C"
352,1,1216,241,0.676000," ","int(ln(c*(e*x^2+d)^p)/x^3/(g*x^2+f)^2,x)","-\frac{\ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 f^{2} x^{2}}-\frac{g p \left(\ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right) \ln \left(g \,x^{2}+f \right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)-\dilog \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)-\left(\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =1\right)}\right)+\ln \left(\frac{\RootOf \left(e \,\textit{\_Z}^{2}+d \right)-x +\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}{\RootOf \left(e \,\textit{\_Z}^{2} g +2 \RootOf \left(e \,\textit{\_Z}^{2}+d \right) \textit{\_Z} g e -d g +e f , \mathit{index} =2\right)}\right)\right) \ln \left(-\RootOf \left(e \,\textit{\_Z}^{2}+d \right)+x \right)\right)}{f^{3}}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(x \right)}{f^{3}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{2 f^{3}}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{\ln \left(c \right)}{2 f^{2} x^{2}}+\frac{2 g p \dilog \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{3}}+\frac{2 g p \dilog \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{3}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{f^{3}}-\frac{g \ln \left(c \right)}{2 \left(g \,x^{2}+f \right) f^{2}}+\frac{g \ln \left(c \right) \ln \left(g \,x^{2}+f \right)}{f^{3}}-\frac{2 g \ln \left(c \right) \ln \left(x \right)}{f^{3}}-\frac{g \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{2 \left(g \,x^{2}+f \right) f^{2}}+\frac{g \ln \left(\left(e \,x^{2}+d \right)^{p}\right) \ln \left(g \,x^{2}+f \right)}{f^{3}}-\frac{2 g \ln \left(x \right) \ln \left(\left(e \,x^{2}+d \right)^{p}\right)}{f^{3}}+\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(x \right)}{f^{3}}+\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 \left(g \,x^{2}+f \right) f^{2}}-\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(x \right)}{f^{3}}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3}}{4 f^{2} x^{2}}+\frac{e g p \ln \left(g \,x^{2}+f \right)}{2 \left(d g -e f \right) f^{2}}-\frac{e g p \ln \left(e \,x^{2}+d \right)}{\left(d g -e f \right) f^{2}}+\frac{e^{2} p \ln \left(e \,x^{2}+d \right)}{2 \left(d g -e f \right) d f}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)}{4 f^{2} x^{2}}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}-\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2}+f \right) f^{2}}+\frac{2 g p \ln \left(x \right) \ln \left(\frac{-e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{3}}+\frac{2 g p \ln \left(x \right) \ln \left(\frac{e x +\sqrt{-d e}}{\sqrt{-d e}}\right)}{f^{3}}+\frac{e p \ln \left(x \right)}{d \,f^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 f^{2} x^{2}}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{2}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{2}}{4 f^{2} x^{2}}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{2}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2}+f \right)}{2 f^{3}}"," ",0,"-1/2*ln((e*x^2+d)^p)/f^2/x^2-I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^3*ln(x)-1/2*ln(c)/f^2/x^2+I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^3*ln(x)-1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^3*ln(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)*g/f^2/(g*x^2+f)+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3/f^2/x^2-1/2*ln(c)*g/f^2/(g*x^2+f)+ln(c)*g/f^3*ln(g*x^2+f)-2*ln(c)*g/f^3*ln(x)+2*p*g/f^3*dilog((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+2*p*g/f^3*dilog((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))-p*g/f^3*sum(ln(-_alpha+x)*ln(g*x^2+f)-ln(-_alpha+x)*(ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))+ln((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=1))-dilog((RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)-x+_alpha)/RootOf(_Z^2*e*g+2*_Z*_alpha*e*g-d*g+e*f,index=2)),_alpha=RootOf(_Z^2*e+d))-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^2/(g*x^2+f)-1/2*ln((e*x^2+d)^p)*g/f^2/(g*x^2+f)+ln((e*x^2+d)^p)*g/f^3*ln(g*x^2+f)-2*ln((e*x^2+d)^p)*g/f^3*ln(x)+1/2*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^3*ln(g*x^2+f)+1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)*csgn(I*c)/f^2/x^2+1/2*p*e/f^2*g/(d*g-e*f)*ln(g*x^2+f)-p*e/f^2/(d*g-e*f)*ln(e*x^2+d)*g+1/2*p*e^2/f/d/(d*g-e*f)*ln(e*x^2+d)+I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^3*ln(x)-1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)/f^2/x^2-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2/f^2/x^2-1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^3*ln(g*x^2+f)+2*p*g/f^3*ln(x)*ln((-e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+2*p*g/f^3*ln(x)*ln((e*x+(-d*e)^(1/2))/(-d*e)^(1/2))+e*p*ln(x)/d/f^2+1/4*I*Pi*csgn(I*c*(e*x^2+d)^p)^3*g/f^2/(g*x^2+f)+1/2*I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^3*ln(g*x^2+f)-1/4*I*Pi*csgn(I*(e*x^2+d)^p)*csgn(I*c*(e*x^2+d)^p)^2*g/f^2/(g*x^2+f)-I*Pi*csgn(I*c*(e*x^2+d)^p)^2*csgn(I*c)*g/f^3*ln(x)","C"
353,0,0,589,1.191000," ","int(x^4*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","\int \frac{x^{4} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^4*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","F"
354,0,0,541,1.140000," ","int(x^2*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","\int \frac{x^{2} \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(x^2*ln(c*(e*x^2+d)^p)/(g*x^2+f)^2,x)","F"
355,0,0,546,0.059000," ","int(1/(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{2}+f \right)^{2}}\, dx"," ",0,"int(1/(g*x^2+f)^2*ln(c*(e*x^2+d)^p),x)","F"
356,0,0,590,1.209000," ","int(ln(c*(e*x^2+d)^p)/x^2/(g*x^2+f)^2,x)","\int \frac{\ln \left(c \left(e \,x^{2}+d \right)^{p}\right)}{\left(g \,x^{2}+f \right)^{2} x^{2}}\, dx"," ",0,"int(ln(c*(e*x^2+d)^p)/x^2/(g*x^2+f)^2,x)","F"
357,0,0,119,1.500000," ","int(ln(c*(b*x^2+a)^n)/(b*x^2+a),x)","\int \frac{\ln \left(c \left(b \,x^{2}+a \right)^{n}\right)}{b \,x^{2}+a}\, dx"," ",0,"int(ln(c*(b*x^2+a)^n)/(b*x^2+a),x)","F"
358,1,214,194,0.342000," ","int(ln(-x^2+1)/(-x^2+2),x)","-\frac{\sqrt{2}\, \ln \left(\frac{x -1}{-\sqrt{2}-1}\right) \ln \left(x +\sqrt{2}\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x -1}{\sqrt{2}-1}\right) \ln \left(x -\sqrt{2}\right)}{4}+\frac{\sqrt{2}\, \ln \left(\frac{x +1}{1+\sqrt{2}}\right) \ln \left(x -\sqrt{2}\right)}{4}-\frac{\sqrt{2}\, \ln \left(\frac{x +1}{-\sqrt{2}+1}\right) \ln \left(x +\sqrt{2}\right)}{4}-\frac{\sqrt{2}\, \ln \left(x -\sqrt{2}\right) \ln \left(-x^{2}+1\right)}{4}+\frac{\sqrt{2}\, \ln \left(x +\sqrt{2}\right) \ln \left(-x^{2}+1\right)}{4}-\frac{\sqrt{2}\, \dilog \left(\frac{x -1}{-\sqrt{2}-1}\right)}{4}+\frac{\sqrt{2}\, \dilog \left(\frac{x -1}{\sqrt{2}-1}\right)}{4}+\frac{\sqrt{2}\, \dilog \left(\frac{x +1}{1+\sqrt{2}}\right)}{4}-\frac{\sqrt{2}\, \dilog \left(\frac{x +1}{-\sqrt{2}+1}\right)}{4}"," ",0,"-1/4*2^(1/2)*ln(-x^2+1)*ln(x-2^(1/2))+1/4*2^(1/2)*ln(x-2^(1/2))*ln((x+1)/(1+2^(1/2)))+1/4*2^(1/2)*ln(x-2^(1/2))*ln((x-1)/(2^(1/2)-1))+1/4*2^(1/2)*dilog((x+1)/(1+2^(1/2)))+1/4*2^(1/2)*dilog((x-1)/(2^(1/2)-1))+1/4*2^(1/2)*ln(-x^2+1)*ln(x+2^(1/2))-1/4*2^(1/2)*ln(x+2^(1/2))*ln((x+1)/(-2^(1/2)+1))-1/4*2^(1/2)*ln(x+2^(1/2))*ln((x-1)/(-2^(1/2)-1))-1/4*2^(1/2)*dilog((x-1)/(-2^(1/2)-1))-1/4*2^(1/2)*dilog((x+1)/(-2^(1/2)+1))","A"
359,1,282,181,0.086000," ","int(ln(e*x^2+d)/(-x^2+1),x)","-\frac{\ln \left(\frac{-\left(x +1\right) e +e +\sqrt{-d e}}{e +\sqrt{-d e}}\right) \ln \left(x +1\right)}{2}-\frac{\ln \left(\frac{\left(x +1\right) e -e +\sqrt{-d e}}{-e +\sqrt{-d e}}\right) \ln \left(x +1\right)}{2}+\frac{\ln \left(\frac{-\left(x -1\right) e -e +\sqrt{-d e}}{-e +\sqrt{-d e}}\right) \ln \left(x -1\right)}{2}+\frac{\ln \left(\frac{\left(x -1\right) e +e +\sqrt{-d e}}{e +\sqrt{-d e}}\right) \ln \left(x -1\right)}{2}-\frac{\ln \left(x -1\right) \ln \left(e \,x^{2}+d \right)}{2}+\frac{\ln \left(x +1\right) \ln \left(e \,x^{2}+d \right)}{2}-\frac{\dilog \left(\frac{-\left(x +1\right) e +e +\sqrt{-d e}}{e +\sqrt{-d e}}\right)}{2}-\frac{\dilog \left(\frac{\left(x +1\right) e -e +\sqrt{-d e}}{-e +\sqrt{-d e}}\right)}{2}+\frac{\dilog \left(\frac{-\left(x -1\right) e -e +\sqrt{-d e}}{-e +\sqrt{-d e}}\right)}{2}+\frac{\dilog \left(\frac{\left(x -1\right) e +e +\sqrt{-d e}}{e +\sqrt{-d e}}\right)}{2}"," ",0,"-1/2*ln(x-1)*ln(e*x^2+d)+1/2*ln(x-1)*ln((-(x-1)*e+(-d*e)^(1/2)-e)/(-e+(-d*e)^(1/2)))+1/2*ln(x-1)*ln(((x-1)*e+(-d*e)^(1/2)+e)/(e+(-d*e)^(1/2)))+1/2*dilog((-(x-1)*e+(-d*e)^(1/2)-e)/(-e+(-d*e)^(1/2)))+1/2*dilog(((x-1)*e+(-d*e)^(1/2)+e)/(e+(-d*e)^(1/2)))+1/2*ln(x+1)*ln(e*x^2+d)-1/2*ln(x+1)*ln((-e*(x+1)+(-d*e)^(1/2)+e)/(e+(-d*e)^(1/2)))-1/2*ln(x+1)*ln((e*(x+1)+(-d*e)^(1/2)-e)/(-e+(-d*e)^(1/2)))-1/2*dilog((-e*(x+1)+(-d*e)^(1/2)+e)/(e+(-d*e)^(1/2)))-1/2*dilog((e*(x+1)+(-d*e)^(1/2)-e)/(-e+(-d*e)^(1/2)))","A"
360,1,428,134,3.014000," ","int((f+g*x^(3*n))*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-f p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)-\frac{i \pi  g \,x^{3 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{6 n}+\frac{i \pi  g \,x^{3 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{6 n}+\frac{i \pi  g \,x^{3 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{6 n}-\frac{i \pi  g \,x^{3 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{6 n}+f \ln \left(c \right) \ln \left(x \right)+\frac{d^{3} g p \ln \left(e \,x^{n}+d \right)}{3 e^{3} n}-\frac{d^{2} g p \,x^{n}}{3 e^{2} n}+\frac{d g p \,x^{2 n}}{6 e n}-\frac{f p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{g p \,x^{3 n}}{9 n}+\frac{g \,x^{3 n} \ln \left(c \right)}{3 n}+\frac{\left(3 f n \ln \left(x \right)+g \,x^{3 n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{3 n}"," ",0,"1/3*(g*(x^n)^3+3*f*ln(x)*n)/n*ln((e*x^n+d)^p)+1/6*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g*(x^n)^3/n-1/6*I*Pi*csgn(I*c*(e*x^n+d)^p)^3*g*(x^n)^3/n+1/2*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)*f-1/2*I*Pi*csgn(I*c*(e*x^n+d)^p)^3*ln(x)*f-1/2*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*ln(x)*f+1/2*I*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*ln(x)*f+1/6*I*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g*(x^n)^3/n-1/6*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g*(x^n)^3/n+f*ln(c)*ln(x)+1/3*ln(c)*g*(x^n)^3/n-1/9*p/n*g*(x^n)^3+1/6*p/e/n*g*(x^n)^2*d-1/3*d^2*g*p*x^n/e^2/n+1/3*d^3*g*p*ln(e*x^n+d)/e^3/n-p/n*f*dilog((e*x^n+d)/d)-p*f*ln(x)*ln((e*x^n+d)/d)","C"
361,1,410,116,2.912000," ","int((f+g*x^(2*n))*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-f p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)-\frac{i \pi  g \,x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 n}+\frac{i \pi  g \,x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}+\frac{i \pi  g \,x^{2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}-\frac{i \pi  g \,x^{2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 n}+f \ln \left(c \right) \ln \left(x \right)-\frac{d^{2} g p \ln \left(e \,x^{n}+d \right)}{2 e^{2} n}+\frac{d g p \,x^{n}}{2 e n}-\frac{f p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{g p \,x^{2 n}}{4 n}+\frac{g \,x^{2 n} \ln \left(c \right)}{2 n}+\frac{\left(2 f n \ln \left(x \right)+g \,x^{2 n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 n}"," ",0,"1/2*(2*f*n*ln(x)+g*(x^n)^2)/n*ln((e*x^n+d)^p)-1/4*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g*(x^n)^2/n-1/2*I*Pi*f*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x)+1/4*I*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g*(x^n)^2/n-1/2*I*Pi*f*csgn(I*c*(e*x^n+d)^p)^3*ln(x)+1/2*I*Pi*f*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)+1/4*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g*(x^n)^2/n-1/4*I*Pi*csgn(I*c*(e*x^n+d)^p)^3*g*(x^n)^2/n+1/2*I*Pi*f*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)+f*ln(c)*ln(x)+1/2*ln(c)*g*(x^n)^2/n-1/4*p/n*g*(x^n)^2+1/2*d*g*p*x^n/e/n-1/2*d^2*g*p*ln(e*x^n+d)/e^2/n-p/n*f*dilog((e*x^n+d)/d)-f*p*ln(x)*ln((e*x^n+d)/d)","C"
362,1,376,83,3.500000," ","int((f+g*x^n)*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x \right)}{2}-f p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)-\frac{i \pi  g \,x^{n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 n}+\frac{i \pi  g \,x^{n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}+\frac{i \pi  g \,x^{n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}-\frac{i \pi  g \,x^{n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 n}+f \ln \left(c \right) \ln \left(x \right)+\frac{d g p \ln \left(e \,x^{n}+d \right)}{e n}-\frac{f p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}-\frac{g p \,x^{n}}{n}+\frac{g \,x^{n} \ln \left(c \right)}{n}+\frac{\left(f n \ln \left(x \right)+g \,x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}"," ",0,"(f*n*ln(x)+g*x^n)/n*ln((e*x^n+d)^p)+1/2*I*Pi*f*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)+1/2*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g*x^n/n-1/2*I*Pi*f*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x)-1/2*I*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g*x^n/n-1/2*I*Pi*f*csgn(I*c*(e*x^n+d)^p)^3*ln(x)-1/2*I*Pi*csgn(I*c*(e*x^n+d)^p)^3*g*x^n/n+1/2*I*Pi*f*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x)+1/2*I*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g*x^n/n+f*ln(c)*ln(x)+ln(c)*g*x^n/n-g*p*x^n/n+p/e/n*g*d*ln(e*x^n+d)-p/n*f*dilog((e*x^n+d)/d)-f*p*ln(x)*ln((e*x^n+d)/d)","C"
363,1,423,97,3.413000," ","int((f+g/(x^n))*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}-f p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\frac{i \pi  g \,x^{-n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 n}-\frac{i \pi  g \,x^{-n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}-\frac{i \pi  g \,x^{-n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}+\frac{i \pi  g \,x^{-n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 n}+\frac{e g p \ln \left(x^{n}\right)}{d n}-\frac{e g p \ln \left(e \,x^{n}+d \right)}{d n}-\frac{f p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f \ln \left(c \right) \ln \left(x^{n}\right)}{n}-\frac{g \,x^{-n} \ln \left(c \right)}{n}+\frac{\left(f n \,x^{n} \ln \left(x \right)-g \right) x^{-n} \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{n}"," ",0,"(f*ln(x)*n*x^n-g)/n/(x^n)*ln((e*x^n+d)^p)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)*f-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g/(x^n)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*ln(x^n)*f+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g/(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)*f+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g/(x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*ln(x^n)*f-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g/(x^n)+1/n*ln(c)*ln(x^n)*f-1/n*ln(c)*g/(x^n)-p/n*f*dilog((e*x^n+d)/d)-f*p*ln(x)*ln((e*x^n+d)/d)+p*e/n*g/d*ln(x^n)-e*g*p*ln(e*x^n+d)/d/n","C"
364,1,448,120,3.441000," ","int((f+g/(x^(2*n)))*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  f \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}-f p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\frac{i \pi  g \,x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 n}-\frac{i \pi  g \,x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}-\frac{i \pi  g \,x^{-2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}+\frac{i \pi  g \,x^{-2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 n}-\frac{e g p \,x^{-n}}{2 d n}-\frac{e^{2} g p \ln \left(x^{n}\right)}{2 d^{2} n}+\frac{e^{2} g p \ln \left(e \,x^{n}+d \right)}{2 d^{2} n}-\frac{f p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f \ln \left(c \right) \ln \left(x^{n}\right)}{n}-\frac{g \,x^{-2 n} \ln \left(c \right)}{2 n}+\frac{\left(2 f n \,x^{2 n} \ln \left(x \right)-g \right) x^{-2 n} \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 n}"," ",0,"1/2*(2*f*ln(x)*n*(x^n)^2-g)/n/(x^n)^2*ln((e*x^n+d)^p)+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g/(x^n)^2-1/2*I*Pi*f/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g/(x^n)^2-1/2*I*Pi*f/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g/(x^n)^2-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g/(x^n)^2+1/2*I*Pi*f/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+1/2*I*Pi*f/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+f/n*ln(c)*ln(x^n)-1/2/n*ln(c)*g/(x^n)^2-1/2*e*g*p/d/n/(x^n)-1/2*p*e^2/n*g/d^2*ln(x^n)+1/2*e^2*g*p*ln(e*x^n+d)/d^2/n-p/n*f*dilog((e*x^n+d)/d)-f*p*ln(x)*ln((e*x^n+d)/d)","C"
365,1,795,301,4.040000," ","int((f+g*x^(3*n))^2*ln(c*(e*x^n+d)^p)/x,x)","\frac{\left(6 f^{2} n \ln \left(x \right)+4 f g \,x^{3 n}+g^{2} x^{6 n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{6 n}-\frac{g^{2} p \,x^{6 n}}{36 n}+\frac{g^{2} x^{6 n} \ln \left(c \right)}{6 n}-\frac{f^{2} p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{n}+\frac{d^{5} g^{2} p \,x^{n}}{6 e^{5} n}-\frac{d^{4} g^{2} p \,x^{2 n}}{12 e^{4} n}+\frac{d^{3} g^{2} p \,x^{3 n}}{18 e^{3} n}-f^{2} p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)-\frac{2 d^{2} f g p \,x^{n}}{3 e^{2} n}+\frac{2 d^{3} f g p \ln \left(e \,x^{n}+d \right)}{3 e^{3} n}-\frac{2 f g p \,x^{3 n}}{9 n}-\frac{d^{6} g^{2} p \ln \left(e \,x^{n}+d \right)}{6 e^{6} n}+\frac{d f g p \,x^{2 n}}{3 e n}+\frac{2 f g \,x^{3 n} \ln \left(c \right)}{3 n}-\frac{i \pi  f g \,x^{3 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{3 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f g \,x^{3 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{3 n}+\frac{i \pi  f g \,x^{3 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{3 n}-\frac{i \pi  \,g^{2} x^{6 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{12 n}+\frac{i \pi  \,g^{2} x^{6 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{12 n}-\frac{d^{2} g^{2} p \,x^{4 n}}{24 e^{2} n}+\frac{d \,g^{2} p \,x^{5 n}}{30 e n}-\frac{i \pi  \,g^{2} x^{6 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{12 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,g^{2} x^{6 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{12 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  f g \,x^{3 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{3 n}"," ",0,"1/6*(g^2*(x^n)^6+4*f*g*(x^n)^3+6*f^2*ln(x)*n)/n*ln((e*x^n+d)^p)+1/n*ln(c)*f^2*ln(x^n)+1/6*d^5*g^2*p*x^n/e^5/n-p/n*f^2*dilog((e*x^n+d)/d)-p*f^2*ln(x)*ln((e*x^n+d)/d)+1/6/n*ln(c)*(x^n)^6*g^2-1/36*p/n*g^2*(x^n)^6-1/3*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*(x^n)^3*f*g+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*f^2*ln(x^n)+1/12*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*(x^n)^6*g^2-2/3*d^2*f*g*p*x^n/e^2/n+2/3*d^3*f*g*p*ln(e*x^n+d)/e^3/n-1/3*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*(x^n)^3*f*g+1/12*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*(x^n)^6*g^2-1/6*d^6*g^2*p*ln(e*x^n+d)/e^6/n-2/9*p/n*f*g*(x^n)^3-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*f^2*ln(x^n)-1/12*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*(x^n)^6*g^2+1/3*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*(x^n)^3*f*g-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*f^2*ln(x^n)+1/3*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*(x^n)^3*f*g+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*f^2*ln(x^n)+2/3/n*ln(c)*(x^n)^3*f*g+1/30*p/e/n*g^2*(x^n)^5*d-1/24*p/e^2/n*g^2*d^2*(x^n)^4+1/18*p/e^3/n*g^2*d^3*(x^n)^3-1/12*p/e^4/n*g^2*(x^n)^2*d^4-1/12*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*(x^n)^6*g^2+1/3*p/e/n*f*g*(x^n)^2*d","C"
366,1,734,240,3.793000," ","int((f+g*x^(2*n))^2*ln(c*(e*x^n+d)^p)/x,x)","\frac{\left(4 f^{2} n \ln \left(x \right)+4 f g \,x^{2 n}+g^{2} x^{4 n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{4 n}+\frac{g^{2} x^{4 n} \ln \left(c \right)}{4 n}+\frac{f g \,x^{2 n} \ln \left(c \right)}{n}-\frac{g^{2} p \,x^{4 n}}{16 n}-\frac{f^{2} p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{n}-\frac{i \pi  f g \,x^{2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 n}+\frac{i \pi  \,g^{2} x^{4 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{8 n}+\frac{i \pi  \,g^{2} x^{4 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{8 n}-f^{2} p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\frac{i \pi  f g \,x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}+\frac{i \pi  f g \,x^{2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}-\frac{i \pi  \,g^{2} x^{4 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{8 n}-\frac{f g p \,x^{2 n}}{2 n}-\frac{d^{4} g^{2} p \ln \left(e \,x^{n}+d \right)}{4 e^{4} n}-\frac{i \pi  \,g^{2} x^{4 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{8 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  f g \,x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 n}+\frac{d^{3} g^{2} p \,x^{n}}{4 e^{3} n}-\frac{d^{2} g^{2} p \,x^{2 n}}{8 e^{2} n}+\frac{d \,g^{2} p \,x^{3 n}}{12 e n}+\frac{d f g p \,x^{n}}{e n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}-\frac{d^{2} f g p \ln \left(e \,x^{n}+d \right)}{e^{2} n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}"," ",0,"1/4*(g^2*(x^n)^4+4*f^2*n*ln(x)+4*f*g*(x^n)^2)/n*ln((e*x^n+d)^p)-1/16*p/n*g^2*(x^n)^4+1/4/n*ln(c)*(x^n)^4*g^2+f^2/n*ln(c)*ln(x^n)+1/n*ln(c)*(x^n)^2*f*g-1/2*p/n*f*g*(x^n)^2+1/8*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*(x^n)^4*g^2-p/n*f^2*dilog((e*x^n+d)/d)-f^2*p*ln(x)*ln((e*x^n+d)/d)+1/2*I*Pi*f^2/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/4*d^4*g^2*p*ln(e*x^n+d)/e^4/n-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*(x^n)^2*f*g-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*(x^n)^2*f*g-1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)-1/2*I*Pi*f^2/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)+1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*(x^n)^2*f*g-1/8*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*(x^n)^4*g^2+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*(x^n)^2*f*g+1/4*d^3*g^2*p*x^n/e^3/n+d*f*g*p*x^n/e/n+1/12*p/e/n*g^2*(x^n)^3*d-1/8*p/e^2/n*g^2*(x^n)^2*d^2-1/8*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*(x^n)^4*g^2+1/8*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*(x^n)^4*g^2-d^2*f*g*p*ln(e*x^n+d)/e^2/n","C"
367,1,665,168,3.801000," ","int((f+g*x^n)^2*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}-f^{2} p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)-\frac{i \pi  f g \,x^{n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{n}+\frac{i \pi  f g \,x^{n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}+\frac{i \pi  f g \,x^{n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}-\frac{i \pi  f g \,x^{n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{n}-\frac{i \pi  \,g^{2} x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 n}+\frac{i \pi  \,g^{2} x^{2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}+\frac{i \pi  \,g^{2} x^{2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}-\frac{i \pi  \,g^{2} x^{2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 n}-\frac{d^{2} g^{2} p \ln \left(e \,x^{n}+d \right)}{2 e^{2} n}+\frac{2 d f g p \ln \left(e \,x^{n}+d \right)}{e n}+\frac{d \,g^{2} p \,x^{n}}{2 e n}-\frac{f^{2} p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{n}-\frac{2 f g p \,x^{n}}{n}+\frac{2 f g \,x^{n} \ln \left(c \right)}{n}-\frac{g^{2} p \,x^{2 n}}{4 n}+\frac{g^{2} x^{2 n} \ln \left(c \right)}{2 n}+\frac{\left(2 f^{2} n \ln \left(x \right)+4 f g \,x^{n}+g^{2} x^{2 n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 n}"," ",0,"1/2*(2*f^2*n*ln(x)+g^2*(x^n)^2+4*f*g*x^n)/n*ln((e*x^n+d)^p)-I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*x^n*f*g+1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*x^n*f*g+1/2*I*Pi*f^2/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*(x^n)^2*g^2-I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*x^n*f*g-1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)-1/2*I*Pi*f^2/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*(x^n)^2*g^2+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*(x^n)^2*g^2+I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*x^n*f*g+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*(x^n)^2*g^2+1/2/n*ln(c)*(x^n)^2*g^2+2/n*ln(c)*x^n*f*g+f^2/n*ln(c)*ln(x^n)-1/4*p/n*g^2*(x^n)^2+1/2*d*g^2*p*x^n/e/n-1/2*d^2*g^2*p*ln(e*x^n+d)/e^2/n-p/n*f^2*dilog((e*x^n+d)/d)-f^2*p*ln(x)*ln((e*x^n+d)/d)-2*f*g*p*x^n/n+2*p/e/n*f*g*d*ln(e*x^n+d)","C"
368,1,693,187,3.434000," ","int((f+g/(x^n))^2*ln(c*(e*x^n+d)^p)/x,x)","-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}-f^{2} p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\frac{i \pi  f g \,x^{-n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{n}-\frac{i \pi  f g \,x^{-n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}-\frac{i \pi  f g \,x^{-n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{n}+\frac{i \pi  f g \,x^{-n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{n}+\frac{i \pi  \,g^{2} x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 n}-\frac{i \pi  \,g^{2} x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}-\frac{i \pi  \,g^{2} x^{-2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 n}+\frac{i \pi  \,g^{2} x^{-2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 n}+\frac{2 e f g p \ln \left(x^{n}\right)}{d n}-\frac{2 e f g p \ln \left(e \,x^{n}+d \right)}{d n}-\frac{e \,g^{2} p \,x^{-n}}{2 d n}-\frac{e^{2} g^{2} p \ln \left(x^{n}\right)}{2 d^{2} n}+\frac{e^{2} g^{2} p \ln \left(e \,x^{n}+d \right)}{2 d^{2} n}-\frac{f^{2} p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{n}-\frac{2 f g \,x^{-n} \ln \left(c \right)}{n}-\frac{g^{2} x^{-2 n} \ln \left(c \right)}{2 n}+\frac{\left(2 f^{2} n \,x^{2 n} \ln \left(x \right)-4 f g \,x^{n}-g^{2}\right) x^{-2 n} \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 n}"," ",0,"1/2*(2*f^2*ln(x)*n*(x^n)^2-4*f*g*x^n-g^2)/n/(x^n)^2*ln((e*x^n+d)^p)-I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*f*g/(x^n)+1/2*I*Pi*f^2/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*f*g/(x^n)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g^2/(x^n)^2+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g^2/(x^n)^2+I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*f*g/(x^n)+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g^2/(x^n)^2-1/2*I*Pi*f^2/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)+1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*f*g/(x^n)-1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g^2/(x^n)^2+f^2/n*ln(c)*ln(x^n)-2/n*ln(c)*f*g/(x^n)-1/2/n*ln(c)*g^2/(x^n)^2+2*p*e/n*f*g/d*ln(x^n)-2*e*f*g*p*ln(e*x^n+d)/d/n-1/2*e*g^2*p/d/n/(x^n)-1/2*p*e^2/n*g^2/d^2*ln(x^n)+1/2*e^2*g^2*p*ln(e*x^n+d)/d^2/n-p/n*f^2*dilog((e*x^n+d)/d)-f^2*p*ln(x)*ln((e*x^n+d)/d)","C"
369,1,755,253,3.638000," ","int((f+g/(x^(2*n)))^2*ln(c*(e*x^n+d)^p)/x,x)","-\frac{e \,g^{2} p \,x^{-3 n}}{12 d n}-\frac{f^{2} p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{n}+\frac{f^{2} \ln \left(c \right) \ln \left(x^{n}\right)}{n}+\frac{\left(4 f^{2} n \,x^{4 n} \ln \left(x \right)-4 f g \,x^{2 n}-g^{2}\right) x^{-4 n} \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{4 n}-\frac{g^{2} x^{-4 n} \ln \left(c \right)}{4 n}-\frac{e^{4} g^{2} p \ln \left(x^{n}\right)}{4 d^{4} n}-\frac{i \pi  \,g^{2} x^{-4 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{8 n}-\frac{i \pi  \,g^{2} x^{-4 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{8 n}-f^{2} p \ln \left(x \right) \ln \left(\frac{e \,x^{n}+d}{d}\right)+\frac{e^{2} g^{2} p \,x^{-2 n}}{8 d^{2} n}-\frac{e^{3} g^{2} p \,x^{-n}}{4 d^{3} n}-\frac{e^{2} f g p \ln \left(x^{n}\right)}{d^{2} n}+\frac{e^{4} g^{2} p \ln \left(e \,x^{n}+d \right)}{4 d^{4} n}+\frac{i \pi  f g \,x^{-2 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 n}-\frac{i \pi  f g \,x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}-\frac{i \pi  f g \,x^{-2 n} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 n}+\frac{i \pi  \,g^{2} x^{-4 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{8 n}-\frac{f g \,x^{-2 n} \ln \left(c \right)}{n}-\frac{e f g p \,x^{-n}}{d n}+\frac{i \pi  \,g^{2} x^{-4 n} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{8 n}-\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 n}+\frac{e^{2} f g p \ln \left(e \,x^{n}+d \right)}{d^{2} n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  \,f^{2} \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 n}+\frac{i \pi  f g \,x^{-2 n} \mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 n}"," ",0,"1/8*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g^2/(x^n)^4+f^2/n*ln(c)*ln(x^n)-1/12*p*e/n*g^2/d/(x^n)^3+1/8*p*e^2/n*g^2/d^2/(x^n)^2-1/4*p*e^4/n*g^2/d^4*ln(x^n)+1/8*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g^2/(x^n)^4+1/4*(4*f^2*ln(x)*n*(x^n)^4-4*f*g*(x^n)^2-g^2)/n/(x^n)^4*ln((e*x^n+d)^p)-1/4/n*ln(c)*g^2/(x^n)^4-1/4*e^3*g^2*p/d^3/n/(x^n)-p/n*f^2*dilog((e*x^n+d)/d)-f^2*p*ln(x)*ln((e*x^n+d)/d)-e*f*g*p/d/n/(x^n)+1/2*I*Pi*f^2/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*f*g/(x^n)^2-p*e^2/n*f*g/d^2*ln(x^n)-1/8*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g^2/(x^n)^4+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*f*g/(x^n)^2-1/8*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g^2/(x^n)^4+1/4*e^4*g^2*p*ln(e*x^n+d)/d^4/n-1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)-1/2*I*Pi*f^2/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)+1/2*I*Pi*f^2/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*f*g/(x^n)^2+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*f*g/(x^n)^2-1/n*ln(c)*f*g/(x^n)^2+e^2*f*g*p*ln(e*x^n+d)/d^2/n","C"
370,1,695,230,0.594000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g*x^(2*n)),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{2 n}+f \right)}{4 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2 n}+f \right)}{4 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f n}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2 n}+f \right)}{4 f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 f n}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2 n}+f \right)}{4 f n}-\frac{p \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}-\frac{p \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f n}-\frac{p \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f n}+\frac{p \ln \left(e \,x^{n}+d \right) \ln \left(g \,x^{2 n}+f \right)}{2 f n}-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{f n}-\frac{p \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 f n}-\frac{p \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 f n}+\frac{\ln \left(c \right) \ln \left(x^{n}\right)}{f n}-\frac{\ln \left(c \right) \ln \left(g \,x^{2 n}+f \right)}{2 f n}+\frac{\ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{2 n}+f \right)}{2 f n}"," ",0,"-1/2/n*ln((e*x^n+d)^p)/f*ln(f+g*(x^n)^2)+1/n*ln((e*x^n+d)^p)/f*ln(x^n)-1/f*p/n*dilog((e*x^n+d)/d)-1/n*p/f*ln(x^n)*ln((e*x^n+d)/d)+1/2/n*p/f*ln(e*x^n+d)*ln(f+g*(x^n)^2)-1/2/n*p/f*ln(e*x^n+d)*ln(((-f*g)^(1/2)*e-(e*x^n+d)*g+d*g)/(d*g+(-f*g)^(1/2)*e))-1/2/n*p/f*ln(e*x^n+d)*ln(((-f*g)^(1/2)*e+(e*x^n+d)*g-d*g)/(-d*g+(-f*g)^(1/2)*e))-1/2/n*p/f*dilog(((-f*g)^(1/2)*e-(e*x^n+d)*g+d*g)/(d*g+(-f*g)^(1/2)*e))-1/2/n*p/f*dilog(((-f*g)^(1/2)*e+(e*x^n+d)*g-d*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f*ln(f+g*(x^n)^2)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f*ln(f+g*(x^n)^2)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f*ln(x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f*ln(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f*ln(x^n)+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f*ln(f+g*(x^n)^2)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f*ln(f+g*(x^n)^2)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f*ln(x^n)-1/2/n*ln(c)/f*ln(f+g*(x^n)^2)+1/n*ln(c)/f*ln(x^n)","C"
371,1,532,121,0.586000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g*x^n),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{n}+f \right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{n}+f \right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f n}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{n}+f \right)}{2 f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 f n}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(g \,x^{n}+f \right)}{2 f n}-\frac{p \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f n}+\frac{p \ln \left(\frac{d g -e f +\left(g \,x^{n}+f \right) e}{d g -e f}\right) \ln \left(g \,x^{n}+f \right)}{f n}-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{f n}+\frac{p \dilog \left(\frac{d g -e f +\left(g \,x^{n}+f \right) e}{d g -e f}\right)}{f n}+\frac{\ln \left(c \right) \ln \left(x^{n}\right)}{f n}-\frac{\ln \left(c \right) \ln \left(g \,x^{n}+f \right)}{f n}+\frac{\ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f n}-\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{n}+f \right)}{f n}"," ",0,"-1/n*ln((e*x^n+d)^p)/f*ln(f+g*x^n)+1/f/n*ln(x^n)*ln((e*x^n+d)^p)-1/f*p/n*dilog((e*x^n+d)/d)-1/f/n*p*ln(x^n)*ln((e*x^n+d)/d)+1/n*p/f*dilog(((f+g*x^n)*e+d*g-e*f)/(d*g-e*f))+1/n*p/f*ln(f+g*x^n)*ln(((f+g*x^n)*e+d*g-e*f)/(d*g-e*f))+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f*ln(f+g*x^n)+1/2*I*Pi/f/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/2*I*Pi/f/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f*ln(f+g*x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f*ln(f+g*x^n)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f*ln(f+g*x^n)-1/2*I*Pi/f/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)+1/2*I*Pi/f/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/n*ln(c)/f*ln(f+g*x^n)+1/f/n*ln(c)*ln(x^n)","C"
372,1,298,70,0.595000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g/(x^n)),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{n}+g \right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{n}+g \right)}{2 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{n}+g \right)}{2 f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(f \,x^{n}+g \right)}{2 f n}-\frac{p \ln \left(\frac{d f -e g +\left(f \,x^{n}+g \right) e}{d f -e g}\right) \ln \left(f \,x^{n}+g \right)}{f n}-\frac{p \dilog \left(\frac{d f -e g +\left(f \,x^{n}+g \right) e}{d f -e g}\right)}{f n}+\frac{\ln \left(c \right) \ln \left(f \,x^{n}+g \right)}{f n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{n}+g \right)}{f n}"," ",0,"1/n*ln(g+f*x^n)/f*ln((e*x^n+d)^p)-1/n/f*p*dilog(((g+f*x^n)*e+d*f-e*g)/(d*f-e*g))-1/n/f*p*ln(g+f*x^n)*ln(((g+f*x^n)*e+d*f-e*g)/(d*f-e*g))+1/2*I/n*ln(g+f*x^n)/f*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-1/2*I/n*ln(g+f*x^n)/f*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-1/2*I/n*ln(g+f*x^n)/f*Pi*csgn(I*c*(e*x^n+d)^p)^3+1/2*I/n*ln(g+f*x^n)/f*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+1/n*ln(g+f*x^n)/f*ln(c)","C"
373,1,461,185,0.671000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g/(x^(2*n))),x)","-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{2 n}+g \right)}{4 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{2 n}+g \right)}{4 f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{2 n}+g \right)}{4 f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(f \,x^{2 n}+g \right)}{4 f n}+\frac{p \ln \left(\frac{d f +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) f}{d f +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f n}+\frac{p \ln \left(\frac{-d f +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) f}{-d f +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f n}-\frac{p \ln \left(e \,x^{n}+d \right) \ln \left(f \,x^{2 n}+g \right)}{2 f n}+\frac{p \dilog \left(\frac{d f +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) f}{d f +\sqrt{-f g}\, e}\right)}{2 f n}+\frac{p \dilog \left(\frac{-d f +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) f}{-d f +\sqrt{-f g}\, e}\right)}{2 f n}+\frac{\ln \left(c \right) \ln \left(f \,x^{2 n}+g \right)}{2 f n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{2 n}+g \right)}{2 f n}"," ",0,"1/2/n/f*ln(f*(x^n)^2+g)*ln((e*x^n+d)^p)-1/2/n/f*p*ln(e*x^n+d)*ln(f*(x^n)^2+g)+1/2/n/f*p*ln(e*x^n+d)*ln(((-f*g)^(1/2)*e-(e*x^n+d)*f+d*f)/((-f*g)^(1/2)*e+d*f))+1/2/n/f*p*ln(e*x^n+d)*ln(((-f*g)^(1/2)*e+(e*x^n+d)*f-d*f)/((-f*g)^(1/2)*e-d*f))+1/2/n/f*p*dilog(((-f*g)^(1/2)*e-(e*x^n+d)*f+d*f)/((-f*g)^(1/2)*e+d*f))+1/2/n/f*p*dilog(((-f*g)^(1/2)*e+(e*x^n+d)*f-d*f)/((-f*g)^(1/2)*e-d*f))+1/4*I/n/f*ln(f*(x^n)^2+g)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2-1/4*I/n/f*ln(f*(x^n)^2+g)*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)-1/4*I/n/f*ln(f*(x^n)^2+g)*Pi*csgn(I*c*(e*x^n+d)^p)^3+1/4*I/n/f*ln(f*(x^n)^2+g)*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)+1/2/n/f*ln(f*(x^n)^2+g)*ln(c)","C"
374,1,1036,367,0.603000," ","int(ln(c*(e*x^n+d)^p)/x/(g*x^(2*n)+f)^2,x)","-\frac{d e g p \arctan \left(\frac{g \,x^{n}}{\sqrt{f g}}\right)}{2 \left(d^{2} g +e^{2} f \right) \sqrt{f g}\, f n}+\frac{\ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{2 n}+f \right)}{4 f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 \left(g \,x^{2 n}+f \right) f n}+\frac{\ln \left(c \right) \ln \left(x^{n}\right)}{f^{2} n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 \left(g \,x^{2 n}+f \right) f n}-\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{2 n}+f \right)}{2 f^{2} n}+\frac{\ln \left(c \right)}{2 \left(g \,x^{2 n}+f \right) f n}-\frac{\ln \left(c \right) \ln \left(g \,x^{2 n}+f \right)}{2 f^{2} n}-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{f^{2} n}-\frac{p \dilog \left(\frac{d g +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) g}{d g +\sqrt{-f g}\, e}\right)}{2 f^{2} n}-\frac{p \dilog \left(\frac{-d g +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) g}{-d g +\sqrt{-f g}\, e}\right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2 n}+f \right) f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2 n}+f \right)}{4 f^{2} n}-\frac{p \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f^{2} n}-\frac{p \ln \left(\frac{d g +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) g}{d g +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f^{2} n}-\frac{p \ln \left(\frac{-d g +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) g}{-d g +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f^{2} n}-\frac{e^{2} p \ln \left(e \,x^{n}+d \right)}{2 \left(d^{2} g +e^{2} f \right) f n}+\frac{e^{2} p \ln \left(g \,x^{2 n}+f \right)}{4 \left(d^{2} g +e^{2} f \right) f n}+\frac{p \ln \left(e \,x^{n}+d \right) \ln \left(g \,x^{2 n}+f \right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 \left(g \,x^{2 n}+f \right) f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 \left(g \,x^{2 n}+f \right) f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 f^{2} n}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(g \,x^{2 n}+f \right)}{4 f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{2 n}+f \right)}{4 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f^{2} n}"," ",0,"-1/2/n*p*e/f*g/(d^2*g+e^2*f)*d/(f*g)^(1/2)*arctan(x^n*g/(f*g)^(1/2))+1/n*ln((e*x^n+d)^p)/f^2*ln(x^n)+1/2/n*ln((e*x^n+d)^p)/f/(f+g*(x^n)^2)+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f^2*ln(f+g*(x^n)^2)-1/2/n*ln((e*x^n+d)^p)/f^2*ln(f+g*(x^n)^2)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f^2*ln(x^n)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f/(f+g*(x^n)^2)+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f^2*ln(f+g*(x^n)^2)+1/n*ln(c)/f^2*ln(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f^2*ln(x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f^2*ln(x^n)-1/n*p/f^2*dilog((e*x^n+d)/d)-1/2/n*p/f^2*dilog((d*g+(-f*g)^(1/2)*e-(e*x^n+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2/n*p/f^2*dilog((-d*g+(-f*g)^(1/2)*e+(e*x^n+d)*g)/(-d*g+(-f*g)^(1/2)*e))-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f/(f+g*(x^n)^2)+1/2/n*ln(c)/f/(f+g*(x^n)^2)-1/2/n*ln(c)/f^2*ln(f+g*(x^n)^2)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f^2*ln(f+g*(x^n)^2)+1/4/n*p*e^2/f/(d^2*g+e^2*f)*ln(f+g*(x^n)^2)-1/n*p/f^2*ln(x^n)*ln((e*x^n+d)/d)+1/2/n*p/f^2*ln(e*x^n+d)*ln(f+g*(x^n)^2)-1/2/n*p/f^2*ln(e*x^n+d)*ln((d*g+(-f*g)^(1/2)*e-(e*x^n+d)*g)/(d*g+(-f*g)^(1/2)*e))-1/2/n*p/f^2*ln(e*x^n+d)*ln((-d*g+(-f*g)^(1/2)*e+(e*x^n+d)*g)/(-d*g+(-f*g)^(1/2)*e))+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f/(f+g*(x^n)^2)-1/2*e^2*p*ln(e*x^n+d)/f/(d^2*g+e^2*f)/n-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f^2*ln(f+g*(x^n)^2)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f^2*ln(x^n)+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f/(f+g*(x^n)^2)","C"
375,1,805,204,0.708000," ","int(ln(c*(e*x^n+d)^p)/x/(g*x^n+f)^2,x)","\frac{e p \ln \left(e \,x^{n}+d \right)}{\left(d g -e f \right) f n}-\frac{e p \ln \left(g \,x^{n}+f \right)}{\left(d g -e f \right) f n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 \left(g \,x^{n}+f \right) f n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 \left(g \,x^{n}+f \right) f n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 \left(g \,x^{n}+f \right) f n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 \left(g \,x^{n}+f \right) f n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(x^{n}\right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{n}+f \right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{n}+f \right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(x^{n}\right)}{2 f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(g \,x^{n}+f \right)}{2 f^{2} n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(x^{n}\right)}{2 f^{2} n}+\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(g \,x^{n}+f \right)}{2 f^{2} n}-\frac{p \ln \left(x^{n}\right) \ln \left(\frac{e \,x^{n}+d}{d}\right)}{f^{2} n}+\frac{p \ln \left(\frac{d g -e f +\left(g \,x^{n}+f \right) e}{d g -e f}\right) \ln \left(g \,x^{n}+f \right)}{f^{2} n}+\frac{\ln \left(c \right)}{\left(g \,x^{n}+f \right) f n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{\left(g \,x^{n}+f \right) f n}-\frac{p \dilog \left(\frac{e \,x^{n}+d}{d}\right)}{f^{2} n}+\frac{p \dilog \left(\frac{d g -e f +\left(g \,x^{n}+f \right) e}{d g -e f}\right)}{f^{2} n}+\frac{\ln \left(c \right) \ln \left(x^{n}\right)}{f^{2} n}-\frac{\ln \left(c \right) \ln \left(g \,x^{n}+f \right)}{f^{2} n}+\frac{\ln \left(x^{n}\right) \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{f^{2} n}-\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(g \,x^{n}+f \right)}{f^{2} n}"," ",0,"1/n*ln((e*x^n+d)^p)/f/(g*x^n+f)-1/n*ln((e*x^n+d)^p)/f^2*ln(g*x^n+f)+1/f^2/n*ln(x^n)*ln((e*x^n+d)^p)-1/n*p*e/f/(d*g-e*f)*ln(g*x^n+f)+1/n*p*e/f/(d*g-e*f)*ln(e*x^n+d)-1/n*p/f^2*dilog((e*x^n+d)/d)-1/f^2/n*p*ln(x^n)*ln((e*x^n+d)/d)+1/n*p/f^2*dilog((d*g-e*f+(g*x^n+f)*e)/(d*g-e*f))+1/n*p/f^2*ln(g*x^n+f)*ln((d*g-e*f+(g*x^n+f)*e)/(d*g-e*f))-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f/(g*x^n+f)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f^2*ln(g*x^n+f)+1/2*I*Pi/f^2/n*csgn(I*c)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f/(g*x^n+f)+1/2*I*Pi/f^2/n*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*ln(x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f^2*ln(g*x^n+f)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f/(g*x^n+f)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f^2*ln(g*x^n+f)-1/2*I*Pi/f^2/n*csgn(I*c)*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*ln(x^n)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f/(g*x^n+f)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f^2*ln(g*x^n+f)-1/2*I*Pi/f^2/n*csgn(I*c*(e*x^n+d)^p)^3*ln(x^n)+1/n*ln(c)/f/(g*x^n+f)-1/n*ln(c)/f^2*ln(g*x^n+f)+1/f^2/n*ln(c)*ln(x^n)","C"
376,1,589,156,0.616000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g/(x^n))^2,x)","-\frac{e g p \ln \left(f \,x^{n}+g \right)}{\left(d f -e g \right) f^{2} n}+\frac{e g p \ln \left(d f -e g +\left(f \,x^{n}+g \right) e \right)}{\left(d f -e g \right) f^{2} n}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{2 \left(f \,x^{n}+g \right) f^{2} n}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 \left(f \,x^{n}+g \right) f^{2} n}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{2 \left(f \,x^{n}+g \right) f^{2} n}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{2 \left(f \,x^{n}+g \right) f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{n}+g \right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{n}+g \right)}{2 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{n}+g \right)}{2 f^{2} n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(f \,x^{n}+g \right)}{2 f^{2} n}-\frac{p \ln \left(\frac{d f -e g +\left(f \,x^{n}+g \right) e}{d f -e g}\right) \ln \left(f \,x^{n}+g \right)}{f^{2} n}+\frac{g \ln \left(c \right)}{\left(f \,x^{n}+g \right) f^{2} n}+\frac{g \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{\left(f \,x^{n}+g \right) f^{2} n}-\frac{p \dilog \left(\frac{d f -e g +\left(f \,x^{n}+g \right) e}{d f -e g}\right)}{f^{2} n}+\frac{\ln \left(c \right) \ln \left(f \,x^{n}+g \right)}{f^{2} n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{n}+g \right)}{f^{2} n}"," ",0,"1/n*ln((e*x^n+d)^p)*g/f^2/(f*x^n+g)+1/n*ln((e*x^n+d)^p)/f^2*ln(f*x^n+g)-1/n*p/f^2*dilog((d*f-e*g+(f*x^n+g)*e)/(d*f-e*g))-1/n*p/f^2*ln(f*x^n+g)*ln((d*f-e*g+(f*x^n+g)*e)/(d*f-e*g))-e*g*p*ln(f*x^n+g)/f^2/(d*f-e*g)/n+1/n*p*e/f^2*g/(d*f-e*g)*ln(d*f-e*g+(f*x^n+g)*e)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f^2*ln(f*x^n+g)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f^2*ln(f*x^n+g)+1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g/f^2/(f*x^n+g)+1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g/f^2/(f*x^n+g)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g/f^2/(f*x^n+g)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f^2*ln(f*x^n+g)-1/2*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g/f^2/(f*x^n+g)-1/2*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f^2*ln(f*x^n+g)+1/n*ln(c)*g/f^2/(f*x^n+g)+1/n*ln(c)/f^2*ln(f*x^n+g)","C"
377,1,810,325,0.709000," ","int(ln(c*(e*x^n+d)^p)/x/(f+g/(x^(2*n)))^2,x)","-\frac{d e g p \arctan \left(\frac{f \,x^{n}}{\sqrt{f g}}\right)}{2 \left(d^{2} f +e^{2} g \right) \sqrt{f g}\, f n}-\frac{e^{2} g p \ln \left(e \,x^{n}+d \right)}{2 \left(d^{2} f +e^{2} g \right) f^{2} n}+\frac{e^{2} g p \ln \left(f \,x^{2 n}+g \right)}{4 \left(d^{2} f +e^{2} g \right) f^{2} n}-\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)}{4 \left(f \,x^{2 n}+g \right) f^{2} n}+\frac{i \pi  g \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 \left(f \,x^{2 n}+g \right) f^{2} n}+\frac{i \pi  g \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2}}{4 \left(f \,x^{2 n}+g \right) f^{2} n}-\frac{i \pi  g \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3}}{4 \left(f \,x^{2 n}+g \right) f^{2} n}-\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{2 n}+g \right)}{4 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{2 n}+g \right)}{4 f^{2} n}+\frac{i \pi  \,\mathrm{csgn}\left(i \left(e \,x^{n}+d \right)^{p}\right) \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{2} \ln \left(f \,x^{2 n}+g \right)}{4 f^{2} n}-\frac{i \pi  \mathrm{csgn}\left(i c \left(e \,x^{n}+d \right)^{p}\right)^{3} \ln \left(f \,x^{2 n}+g \right)}{4 f^{2} n}+\frac{p \ln \left(\frac{d f +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) f}{d f +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f^{2} n}+\frac{p \ln \left(\frac{-d f +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) f}{-d f +\sqrt{-f g}\, e}\right) \ln \left(e \,x^{n}+d \right)}{2 f^{2} n}-\frac{p \ln \left(e \,x^{n}+d \right) \ln \left(f \,x^{2 n}+g \right)}{2 f^{2} n}+\frac{g \ln \left(c \right)}{2 \left(f \,x^{2 n}+g \right) f^{2} n}+\frac{g \ln \left(\left(e \,x^{n}+d \right)^{p}\right)}{2 \left(f \,x^{2 n}+g \right) f^{2} n}+\frac{p \dilog \left(\frac{d f +\sqrt{-f g}\, e -\left(e \,x^{n}+d \right) f}{d f +\sqrt{-f g}\, e}\right)}{2 f^{2} n}+\frac{p \dilog \left(\frac{-d f +\sqrt{-f g}\, e +\left(e \,x^{n}+d \right) f}{-d f +\sqrt{-f g}\, e}\right)}{2 f^{2} n}+\frac{\ln \left(c \right) \ln \left(f \,x^{2 n}+g \right)}{2 f^{2} n}+\frac{\ln \left(\left(e \,x^{n}+d \right)^{p}\right) \ln \left(f \,x^{2 n}+g \right)}{2 f^{2} n}"," ",0,"1/2/n*ln((e*x^n+d)^p)*g/f^2/(f*(x^n)^2+g)+1/2/n*ln((e*x^n+d)^p)/f^2*ln(f*(x^n)^2+g)-1/2/n*p/f^2*ln(e*x^n+d)*ln(f*(x^n)^2+g)+1/2/n*p/f^2*ln(e*x^n+d)*ln((d*f+(-f*g)^(1/2)*e-(e*x^n+d)*f)/(d*f+(-f*g)^(1/2)*e))+1/2/n*p/f^2*ln(e*x^n+d)*ln((-d*f+(-f*g)^(1/2)*e+(e*x^n+d)*f)/(-d*f+(-f*g)^(1/2)*e))+1/2/n*p/f^2*dilog((d*f+(-f*g)^(1/2)*e-(e*x^n+d)*f)/(d*f+(-f*g)^(1/2)*e))+1/2/n*p/f^2*dilog((-d*f+(-f*g)^(1/2)*e+(e*x^n+d)*f)/(-d*f+(-f*g)^(1/2)*e))+1/4/n*p*e^2*g/f^2/(d^2*f+e^2*g)*ln(f*(x^n)^2+g)-1/2/n*p*e*g/f/(d^2*f+e^2*g)*d/(f*g)^(1/2)*arctan(x^n*f/(f*g)^(1/2))-1/2*e^2*g*p*ln(e*x^n+d)/f^2/(d^2*f+e^2*g)/n+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2*g/f^2/(f*(x^n)^2+g)+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)*g/f^2/(f*(x^n)^2+g)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)/f^2*ln(f*(x^n)^2+g)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3*g/f^2/(f*(x^n)^2+g)-1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)*csgn(I*c)*g/f^2/(f*(x^n)^2+g)+1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^2*csgn(I*c)/f^2*ln(f*(x^n)^2+g)-1/4*I/n*Pi*csgn(I*c*(e*x^n+d)^p)^3/f^2*ln(f*(x^n)^2+g)+1/4*I/n*Pi*csgn(I*(e*x^n+d)^p)*csgn(I*c*(e*x^n+d)^p)^2/f^2*ln(f*(x^n)^2+g)+1/2/n*ln(c)*g/f^2/(f*(x^n)^2+g)+1/2/n*ln(c)/f^2*ln(f*(x^n)^2+g)","C"
378,1,23,25,0.090000," ","int(ln(c*(e*x^n+d))/x/(c*e+(c*d-1)/(x^n)),x)","-\frac{\dilog \left(c e \,x^{n}+c d \right)}{c e n}"," ",0,"-1/n*dilog(c*e*x^n+c*d)/c/e","A"
379,1,23,25,0.079000," ","int(x^(n-1)*ln(c*(e*x^n+d))/(-1+c*d+c*e*x^n),x)","-\frac{\dilog \left(c e \,x^{n}+c d \right)}{c e n}"," ",0,"-1/n*dilog(c*e*x^n+c*d)/c/e","A"
380,1,24,26,0.084000," ","int(ln(c*(d+e/(x^n)))/x/(c*e-(-c*d+1)*x^n),x)","\frac{\dilog \left(c e \,x^{-n}+c d \right)}{c e n}"," ",0,"1/n*dilog(c*d+c*e/(x^n))/c/e","A"
381,0,0,615,50.015000," ","int((g*x^(2*n)+f)^2*ln(c*(e*x^n+d)^p)^q/x,x)","\int \frac{\left(g \,x^{2 n}+f \right)^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{x}\, dx"," ",0,"int((g*x^(2*n)+f)^2*ln(c*(e*x^n+d)^p)^q/x,x)","F"
382,0,0,308,47.947000," ","int((g*x^n+f)^2*ln(c*(e*x^n+d)^p)^q/x,x)","\int \frac{\left(g \,x^{n}+f \right)^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{x}\, dx"," ",0,"int((g*x^n+f)^2*ln(c*(e*x^n+d)^p)^q/x,x)","F"
383,0,0,31,39.879000," ","int((f+g/(x^n))^2*ln(c*(e*x^n+d)^p)^q/x,x)","\int \frac{\left(g \,x^{-n}+f \right)^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{x}\, dx"," ",0,"int((f+g/(x^n))^2*ln(c*(e*x^n+d)^p)^q/x,x)","F"
384,0,0,33,40.446000," ","int((f+g/(x^(2*n)))^2*ln(c*(e*x^n+d)^p)^q/x,x)","\int \frac{\left(g \,x^{-2 n}+f \right)^{2} \ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{x}\, dx"," ",0,"int((f+g/(x^(2*n)))^2*ln(c*(e*x^n+d)^p)^q/x,x)","F"
385,0,0,31,11.839000," ","int(ln(c*(e*x^n+d)^p)^q/x/(g*x^(2*n)+f),x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{\left(g \,x^{2 n}+f \right) x}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)^q/x/(g*x^(2*n)+f),x)","F"
386,0,0,29,19.944000," ","int(ln(c*(e*x^n+d)^p)^q/x/(g*x^n+f),x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{\left(g \,x^{n}+f \right) x}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)^q/x/(g*x^n+f),x)","F"
387,0,0,31,26.703000," ","int(ln(c*(e*x^n+d)^p)^q/x/(f+g/(x^n)),x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{\left(g \,x^{-n}+f \right) x}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)^q/x/(f+g/(x^n)),x)","F"
388,0,0,33,17.188000," ","int(ln(c*(e*x^n+d)^p)^q/x/(f+g/(x^(2*n))),x)","\int \frac{\ln \left(c \left(e \,x^{n}+d \right)^{p}\right)^{q}}{\left(g \,x^{-2 n}+f \right) x}\, dx"," ",0,"int(ln(c*(e*x^n+d)^p)^q/x/(f+g/(x^(2*n))),x)","F"
389,1,66,65,1.783000," ","int(ln(x)*ln(e*x^m+d)/x,x)","-\frac{\ln \left(x \right)^{2} \ln \left(\frac{e \,x^{m}}{d}+1\right)}{2}+\frac{\ln \left(x \right)^{2} \ln \left(e \,x^{m}+d \right)}{2}-\frac{\polylog \left(2, -\frac{e \,x^{m}}{d}\right) \ln \left(x \right)}{m}+\frac{\polylog \left(3, -\frac{e \,x^{m}}{d}\right)}{m^{2}}"," ",0,"1/2*ln(x)^2*ln(e*x^m+d)-1/2*ln(x)^2*ln(1+e*x^m/d)-ln(x)*polylog(2,-e*x^m/d)/m+polylog(3,-e*x^m/d)/m^2","A"
390,1,9,8,0.072000," ","int(ln((a+x)/x)/x,x)","\dilog \left(\frac{a}{x}+1\right)"," ",0,"dilog(1+a/x)","A"
391,1,76,10,0.133000," ","int(ln((x^2+a)/x^2)/x,x)","-\ln \left(\frac{1}{x}\right) \ln \left(\frac{a}{x^{2}}+1\right)+\ln \left(\frac{1}{x}\right) \ln \left(-\frac{\sqrt{-a}}{x}+1\right)+\ln \left(\frac{1}{x}\right) \ln \left(\frac{\sqrt{-a}}{x}+1\right)+\dilog \left(-\frac{\sqrt{-a}}{x}+1\right)+\dilog \left(\frac{\sqrt{-a}}{x}+1\right)"," ",0,"-ln(1/x)*ln(a/x^2+1)+ln(1/x)*ln(1+1/x*(-a)^(1/2))+ln(1/x)*ln(1-1/x*(-a)^(1/2))+dilog(1+1/x*(-a)^(1/2))+dilog(1-1/x*(-a)^(1/2))","B"
392,1,15,14,0.078000," ","int(ln((a+x^n)/(x^n))/x,x)","\frac{\dilog \left(a \,x^{-n}+1\right)}{n}"," ",0,"1/n*dilog(1+a/(x^n))","A"
393,1,34,35,0.079000," ","int(ln((b*x+a)/x)/x,x)","-\ln \left(-\frac{a}{b x}\right) \ln \left(b +\frac{a}{x}\right)-\dilog \left(-\frac{a}{b x}\right)"," ",0,"-dilog(-a/b/x)-ln(b+a/x)*ln(-a/b/x)","A"
394,1,108,35,0.092000," ","int(ln((b*x^2+a)/x^2)/x,x)","\ln \left(\frac{1}{x}\right) \ln \left(\frac{-\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)+\ln \left(\frac{1}{x}\right) \ln \left(\frac{\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)-\ln \left(\frac{1}{x}\right) \ln \left(b +\frac{a}{x^{2}}\right)+\dilog \left(\frac{-\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)+\dilog \left(\frac{\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)"," ",0,"-ln(1/x)*ln(b+a/x^2)+ln(1/x)*ln((-a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+ln(1/x)*ln((a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+dilog((-a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+dilog((a/x+(-a*b)^(1/2))/(-a*b)^(1/2))","B"
395,1,46,47,0.079000," ","int(ln((b*x^n+a)/(x^n))/x,x)","-\frac{\ln \left(-\frac{a \,x^{-n}}{b}\right) \ln \left(a \,x^{-n}+b \right)}{n}-\frac{\dilog \left(-\frac{a \,x^{-n}}{b}\right)}{n}"," ",0,"-ln(-a/b/(x^n))*ln(b+a/(x^n))/n-1/n*dilog(-a/b/(x^n))","A"
396,1,114,105,0.092000," ","int(ln((b*x+a)/x)/(d*x+c),x)","\frac{\ln \left(\frac{a d -b c +\left(b +\frac{a}{x}\right) c}{a d -b c}\right) \ln \left(b +\frac{a}{x}\right)}{d}-\frac{\ln \left(-\frac{a}{b x}\right) \ln \left(b +\frac{a}{x}\right)}{d}+\frac{\dilog \left(\frac{a d -b c +\left(b +\frac{a}{x}\right) c}{a d -b c}\right)}{d}-\frac{\dilog \left(-\frac{a}{b x}\right)}{d}"," ",0,"-1/d*ln(b+a/x)*ln(-a/b/x)-1/d*dilog(-a/b/x)+1/d*dilog(((b+a/x)*c+a*d-b*c)/(a*d-b*c))+1/d*ln(b+a/x)*ln(((b+a/x)*c+a*d-b*c)/(a*d-b*c))","A"
397,1,335,199,0.136000," ","int(ln((b*x^2+a)/x^2)/(d*x+c),x)","\frac{\ln \left(\frac{1}{x}\right) \ln \left(\frac{-\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}+\frac{\ln \left(\frac{1}{x}\right) \ln \left(\frac{\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}-\frac{\ln \left(\frac{1}{x}\right) \ln \left(b +\frac{a}{x^{2}}\right)}{d}-\frac{\ln \left(\frac{a d -\left(d +\frac{c}{x}\right) a +\sqrt{-a b}\, c}{a d +\sqrt{-a b}\, c}\right) \ln \left(d +\frac{c}{x}\right)}{d}-\frac{\ln \left(\frac{-a d +\left(d +\frac{c}{x}\right) a +\sqrt{-a b}\, c}{-a d +\sqrt{-a b}\, c}\right) \ln \left(d +\frac{c}{x}\right)}{d}+\frac{\ln \left(b +\frac{a}{x^{2}}\right) \ln \left(d +\frac{c}{x}\right)}{d}+\frac{\dilog \left(\frac{-\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}+\frac{\dilog \left(\frac{\frac{a}{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{d}-\frac{\dilog \left(\frac{a d -\left(d +\frac{c}{x}\right) a +\sqrt{-a b}\, c}{a d +\sqrt{-a b}\, c}\right)}{d}-\frac{\dilog \left(\frac{-a d +\left(d +\frac{c}{x}\right) a +\sqrt{-a b}\, c}{-a d +\sqrt{-a b}\, c}\right)}{d}"," ",0,"1/d*ln(d+c/x)*ln(b+a/x^2)-1/d*ln(d+c/x)*ln((c*(-a*b)^(1/2)-a*(d+c/x)+a*d)/(c*(-a*b)^(1/2)+a*d))-1/d*ln(d+c/x)*ln((c*(-a*b)^(1/2)+a*(d+c/x)-a*d)/(c*(-a*b)^(1/2)-a*d))-1/d*dilog((c*(-a*b)^(1/2)-a*(d+c/x)+a*d)/(c*(-a*b)^(1/2)+a*d))-1/d*dilog((c*(-a*b)^(1/2)+a*(d+c/x)-a*d)/(c*(-a*b)^(1/2)-a*d))-1/d*ln(1/x)*ln(b+a/x^2)+1/d*ln(1/x)*ln((-a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/d*ln(1/x)*ln((a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/d*dilog((-a/x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/d*dilog((a/x+(-a*b)^(1/2))/(-a*b)^(1/2))","A"
398,0,0,20,1.677000," ","int(ln((b*x^n+a)/(x^n))/(d*x+c),x)","\int \frac{\ln \left(\left(b \,x^{n}+a \right) x^{-n}\right)}{d x +c}\, dx"," ",0,"int(ln((b*x^n+a)/(x^n))/(d*x+c),x)","F"
399,0,0,94,2.215000," ","int((f*x)^q*(a+b*ln(c*(e*x^m+d)^n)),x)","\int \left(b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a \right) \left(f x \right)^{q}\, dx"," ",0,"int((f*x)^q*(a+b*ln(c*(e*x^m+d)^n)),x)","F"
400,0,0,134,0.164000," ","int(x^3*(a+b*ln(c*(e*x^(1/2)+d)^n)),x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(1/2)+d)^n)),x)","F"
401,0,0,108,0.100000," ","int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a),x)","F"
402,0,0,82,0.091000," ","int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a),x)","F"
403,1,53,52,0.080000," ","int(b*ln(c*(e*x^(1/2)+d)^n)+a,x)","-\frac{b \,d^{2} n \ln \left(e \sqrt{x}+d \right)}{e^{2}}-\frac{b n x}{2}+b x \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+\frac{b d n \sqrt{x}}{e}+a x"," ",0,"a*x-1/2*b*n*x-b*d^2*n*ln(e*x^(1/2)+d)/e^2+b*x*ln(c*(e*x^(1/2)+d)^n)+b*d*n*x^(1/2)/e","A"
404,0,0,45,0.126000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x,x)","\int \frac{b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x,x)","F"
405,0,0,64,0.089000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^2,x)","\int \frac{b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^2,x)","F"
406,0,0,92,0.091000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^3,x)","F"
407,0,0,118,0.089000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)/x^4,x)","F"
408,0,0,412,0.086000," ","int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","F"
409,0,0,296,0.090000," ","int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","F"
410,0,0,171,0.085000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2,x)","F"
411,0,0,83,0.092000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x,x)","F"
412,0,0,141,0.092000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^2,x)","F"
413,0,0,255,0.086000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^3,x)","F"
414,0,0,348,0.091000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^4,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{2}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^2/x^4,x)","F"
415,0,0,787,0.099000," ","int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","F"
416,0,0,519,0.087000," ","int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","F"
417,0,0,248,0.089000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3,x)","F"
418,0,0,121,0.090000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x,x)","F"
419,0,0,239,0.088000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x^2,x)","F"
420,0,0,501,0.092000," ","int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \sqrt{x}+d \right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/2)+d)^n)+a)^3/x^3,x)","F"
421,0,0,139,0.164000," ","int(x^3*(a+b*ln(c*(d+e/x^(1/2))^n)),x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e/x^(1/2))^n)),x)","F"
422,0,0,113,0.099000," ","int(x^2*(b*ln(c*(d+e/x^(1/2))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(1/2))^n)+a),x)","F"
423,0,0,87,0.092000," ","int(x*(b*ln(c*(d+e/x^(1/2))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/2))^n)+a),x)","F"
424,1,94,47,0.085000," ","int(b*ln(c*(d+e/x^(1/2))^n)+a,x)","-\frac{b \,e^{2} n \ln \left(d \sqrt{x}+e \right)}{2 d^{2}}+\frac{b \,e^{2} n \ln \left(d \sqrt{x}-e \right)}{2 d^{2}}-\frac{b \,e^{2} n \ln \left(d^{2} x -e^{2}\right)}{2 d^{2}}+b x \ln \left(c \left(\frac{d \sqrt{x}+e}{\sqrt{x}}\right)^{n}\right)+\frac{b e n \sqrt{x}}{d}+a x"," ",0,"a*x+x*b*ln(c*((e+d*x^(1/2))/x^(1/2))^n)+b*e*n*x^(1/2)/d-1/2*b*e^2*n*ln(e+d*x^(1/2))/d^2+1/2*b*e^2*n/d^2*ln(d*x^(1/2)-e)-1/2*b*e^2*n*ln(d^2*x-e^2)/d^2","A"
425,0,0,45,0.184000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)/x,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)/x,x)","F"
426,1,63,59,0.094000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)/x^2,x)","\frac{b \,d^{2} n \ln \left(d +\frac{e}{\sqrt{x}}\right)}{e^{2}}-\frac{b d n}{e \sqrt{x}}+\frac{b n}{2 x}-\frac{b \ln \left(c \,{\mathrm e}^{n \ln \left(d +\frac{e}{\sqrt{x}}\right)}\right)}{x}-\frac{a}{x}"," ",0,"-a/x-b/x*ln(c*exp(n*ln(d+e/x^(1/2))))+1/2*b*n/x+b*d^2*n*ln(d+e/x^(1/2))/e^2-b*d*n/e/x^(1/2)","A"
427,0,0,87,0.128000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)/x^3,x)","F"
428,0,0,113,0.095000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)/x^4,x)","F"
429,0,0,344,0.096000," ","int(x^2*(b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","F"
430,0,0,250,0.094000," ","int(x*(b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","F"
431,0,0,138,0.091000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^2,x)","F"
432,0,0,83,0.100000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x,x)","F"
433,0,0,171,0.104000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^2,x)","F"
434,0,0,295,0.138000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^3,x)","F"
435,0,0,412,0.170000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^4,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{2}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^2/x^4,x)","F"
436,0,0,497,0.103000," ","int(x*(b*ln(c*(d+e/x^(1/2))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/2))^n)+a)^3,x)","F"
437,0,0,236,0.104000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^3,x)","F"
438,0,0,121,0.104000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x,x)","F"
439,0,0,249,0.100000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^2,x)","F"
440,0,0,519,0.102000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^3,x)","F"
441,0,0,787,0.099000," ","int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^4,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{\sqrt{x}}\right)^{n}\right)+a \right)^{3}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/2))^n)+a)^3/x^4,x)","F"
442,0,0,186,0.155000," ","int(x^3*(a+b*ln(c*(d+e*x^(1/3))^n)),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e*x^(1/3))^n)),x)","F"
443,0,0,147,0.125000," ","int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a),x)","F"
444,0,0,108,0.088000," ","int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a),x)","F"
445,1,66,65,0.069000," ","int(b*ln(c*(e*x^(1/3)+d)^n)+a,x)","\frac{b \,d^{3} n \ln \left(e \,x^{\frac{1}{3}}+d \right)}{e^{3}}-\frac{b n x}{3}+b x \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+\frac{b d n \,x^{\frac{2}{3}}}{2 e}-\frac{b \,d^{2} n \,x^{\frac{1}{3}}}{e^{2}}+a x"," ",0,"-b*d^2*n*x^(1/3)/e^2+1/2*b*d*n*x^(2/3)/e+a*x-1/3*b*n*x+b*d^3*n*ln(e*x^(1/3)+d)/e^3+b*x*ln(c*(e*x^(1/3)+d)^n)","A"
446,0,0,45,0.125000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x,x)","F"
447,0,0,77,0.085000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^2,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^2,x)","F"
448,0,0,118,0.086000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^3,x)","F"
449,0,0,157,0.097000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)/x^4,x)","F"
450,0,0,586,0.087000," ","int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","F"
451,0,0,412,0.091000," ","int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","F"
452,0,0,235,0.087000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2,x)","F"
453,0,0,83,0.119000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x,x)","F"
454,0,0,209,0.087000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x^2,x)","F"
455,0,0,347,0.103000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^2/x^3,x)","F"
456,0,0,1591,0.088000," ","int(x^3*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3} x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","F"
457,0,0,1189,0.102000," ","int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","F"
458,0,0,787,0.100000," ","int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","F"
459,0,0,384,0.090000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3,x)","F"
460,0,0,121,0.096000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x,x)","F"
461,0,0,397,0.108000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x^2,x)","F"
462,0,0,663,0.118000," ","int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{1}{3}}+d \right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(1/3)+d)^n)+a)^3/x^3,x)","F"
463,0,0,110,0.167000," ","int(x^3*(a+b*ln(c*(d+e*x^(2/3))^n)),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e*x^(2/3))^n)),x)","F"
464,0,0,98,0.094000," ","int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a),x)","F"
465,0,0,71,0.171000," ","int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a),x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a),x)","F"
466,1,62,56,0.082000," ","int(b*ln(c*(e*x^(2/3)+d)^n)+a,x)","-\frac{2 b \,d^{2} n \arctan \left(\frac{e \,x^{\frac{1}{3}}}{\sqrt{d e}}\right)}{\sqrt{d e}\, e}-\frac{2 b n x}{3}+b x \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+\frac{2 b d n \,x^{\frac{1}{3}}}{e}+a x"," ",0,"a*x+b*x*ln(c*(e*x^(2/3)+d)^n)-2/3*b*n*x+2*b*d*n*x^(1/3)/e-2*b/e*n*d^2/(d*e)^(1/2)*arctan(x^(1/3)*e/(d*e)^(1/2))","A"
467,0,0,45,0.144000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x,x)","F"
468,0,0,56,0.093000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^2,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^2,x)","F"
469,0,0,79,0.124000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^3,x)","F"
470,0,0,96,0.084000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)/x^4,x)","F"
471,0,0,412,0.130000," ","int(x^3*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2} x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","F"
472,0,0,237,0.091000," ","int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","F"
473,0,0,83,0.147000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x,x)","F"
474,0,0,208,0.092000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^3,x)","F"
475,0,0,348,0.122000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^5,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{5}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^5,x)","F"
476,0,0,421,0.125000," ","int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","F"
477,0,0,278,0.092000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2,x)","F"
478,0,0,226,0.126000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^2,x)","F"
479,0,0,364,0.091000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^4,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^4,x)","F"
480,0,0,502,0.130000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^6,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{2}}{x^{6}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^2/x^6,x)","F"
481,0,0,787,0.098000," ","int(x^3*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3} x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","F"
482,0,0,385,0.125000," ","int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","F"
483,0,0,121,0.097000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x,x)","F"
484,0,0,397,0.129000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^3,x)","F"
485,0,0,635,0.089000," ","int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","F"
486,0,0,387,0.128000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","\int \left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3,x)","F"
487,0,0,250,0.092000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^2,x)","F"
488,0,0,501,0.129000," ","int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^4,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{\frac{2}{3}}+d \right)^{n}\right)+a \right)^{3}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(e*x^(2/3)+d)^n)+a)^3/x^4,x)","F"
489,0,0,191,0.262000," ","int(x^3*(a+b*ln(c*(d+e/x^(1/3))^n)),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e/x^(1/3))^n)),x)","F"
490,0,0,152,0.092000," ","int(x^2*(b*ln(c*(d+e/x^(1/3))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(1/3))^n)+a),x)","F"
491,0,0,113,0.099000," ","int(x*(b*ln(c*(d+e/x^(1/3))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/3))^n)+a),x)","F"
492,1,115,60,0.094000," ","int(b*ln(c*(d+e/x^(1/3))^n)+a,x)","\frac{2 b \,e^{3} n \ln \left(d \,x^{\frac{1}{3}}+e \right)}{3 d^{3}}-\frac{b \,e^{3} n \ln \left(d^{2} x^{\frac{2}{3}}-d e \,x^{\frac{1}{3}}+e^{2}\right)}{3 d^{3}}+\frac{b \,e^{3} n \ln \left(d^{3} x +e^{3}\right)}{3 d^{3}}+b x \ln \left(c \left(\frac{d \,x^{\frac{1}{3}}+e}{x^{\frac{1}{3}}}\right)^{n}\right)+\frac{b e n \,x^{\frac{2}{3}}}{2 d}-\frac{b \,e^{2} n \,x^{\frac{1}{3}}}{d^{2}}+a x"," ",0,"a*x+x*b*ln(c*((e+d*x^(1/3))/x^(1/3))^n)+1/3*b*e^3*n*ln(d^3*x+e^3)/d^3+1/2*b*e*n*x^(2/3)/d-1/3*b*e^3*n/d^3*ln(d^2*x^(2/3)-e*d*x^(1/3)+e^2)+2/3*b*e^3*n*ln(e+d*x^(1/3))/d^3-b*e^2*n*x^(1/3)/d^2","A"
493,0,0,45,0.197000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)/x,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)/x,x)","F"
494,0,0,72,0.109000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^2,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^2,x)","F"
495,0,0,113,0.103000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^3,x)","F"
496,0,0,152,0.109000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)/x^4,x)","F"
497,0,0,482,0.099000," ","int(x^2*(b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","F"
498,0,0,342,0.158000," ","int(x*(b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","F"
499,0,0,205,0.126000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^2,x)","F"
500,0,0,83,0.153000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x,x)","F"
501,0,0,237,0.095000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x^2,x)","F"
502,0,0,411,0.102000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^2/x^3,x)","F"
503,0,0,657,0.101000," ","int(x*(b*ln(c*(d+e/x^(1/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(1/3))^n)+a)^3,x)","F"
504,0,0,394,0.092000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^3,x)","F"
505,0,0,121,0.143000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x,x)","F"
506,0,0,384,0.395000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x^2,x)","F"
507,0,0,787,0.105000," ","int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(1/3))^n)+a)^3/x^3,x)","F"
508,0,0,115,0.292000," ","int(x^3*(a+b*ln(c*(d+e/x^(2/3))^n)),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right) x^{3}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e/x^(2/3))^n)),x)","F"
509,0,0,91,0.095000," ","int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right) x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a),x)","F"
510,0,0,76,0.091000," ","int(x*(b*ln(c*(d+e/x^(2/3))^n)+a),x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right) x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(2/3))^n)+a),x)","F"
511,1,168,51,0.283000," ","int(b*ln(c*(d+e/x^(2/3))^n)+a,x)","-\frac{2 b \,e^{2} n \arctan \left(\frac{2 d \,x^{\frac{1}{3}}+\sqrt{3}\, \sqrt{d}\, \sqrt{e}}{\sqrt{d e}}\right)}{3 \sqrt{d e}\, d}+\frac{2 b \,e^{2} n \arctan \left(\frac{-2 d \,x^{\frac{1}{3}}+\sqrt{3}\, \sqrt{d}\, \sqrt{e}}{\sqrt{d e}}\right)}{3 \sqrt{d e}\, d}-\frac{4 b \,e^{2} n \arctan \left(\frac{d \,x^{\frac{1}{3}}}{\sqrt{d e}}\right)}{3 \sqrt{d e}\, d}+\frac{2 b \,e^{2} n \arctan \left(\frac{d^{2} x}{\sqrt{d e}\, e}\right)}{3 \sqrt{d e}\, d}+b x \ln \left(c \left(\frac{d \,x^{\frac{2}{3}}+e}{x^{\frac{2}{3}}}\right)^{n}\right)+\frac{2 b e n \,x^{\frac{1}{3}}}{d}+a x"," ",0,"a*x+x*b*ln(c*((e+d*x^(2/3))/x^(2/3))^n)+2/3*b*e^2*n/d/(d*e)^(1/2)*arctan(x*d^2/e/(d*e)^(1/2))+2*b*e*n*x^(1/3)/d-4/3*b*e^2*n/d/(d*e)^(1/2)*arctan(x^(1/3)*d/(d*e)^(1/2))+2/3*b*e^2*n/d/(d*e)^(1/2)*arctan((3^(1/2)*d^(1/2)*e^(1/2)-2*d*x^(1/3))/(d*e)^(1/2))-2/3*b*e^2*n/d/(d*e)^(1/2)*arctan((2*d*x^(1/3)+3^(1/2)*d^(1/2)*e^(1/2))/(d*e)^(1/2))","B"
512,0,0,45,0.186000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)/x,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)/x,x)","F"
513,0,0,63,0.094000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^2,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^2,x)","F"
514,0,0,74,0.091000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^3,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^3,x)","F"
515,0,0,103,0.095000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^4,x)","\int \frac{b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)/x^4,x)","F"
516,0,0,348,0.096000," ","int(x^3*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2} x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","F"
517,0,0,209,0.096000," ","int(x*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","F"
518,0,0,83,0.110000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x,x)","F"
519,0,0,238,0.101000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^3,x)","F"
520,0,0,412,0.214000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^5,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2}}{x^{5}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^5,x)","F"
521,0,0,374,0.182000," ","int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","F"
522,0,0,235,0.095000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^2,x)","F"
523,0,0,277,0.095000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{2}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^2/x^2,x)","F"
524,0,0,663,0.195000," ","int(x^3*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3} x^{3}\, dx"," ",0,"int(x^3*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","F"
525,0,0,397,0.186000," ","int(x*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3} x\, dx"," ",0,"int(x*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","F"
526,0,0,121,0.108000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3}}{x}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x,x)","F"
527,0,0,385,0.173000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^3,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3}}{x^{3}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^3,x)","F"
528,0,0,981,0.125000," ","int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3} x^{2}\, dx"," ",0,"int(x^2*(b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","F"
529,0,0,563,0.100000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^3,x)","F"
530,0,0,386,0.128000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^2,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3}}{x^{2}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^2,x)","F"
531,0,0,629,0.208000," ","int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^4,x)","\int \frac{\left(b \ln \left(c \left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{n}\right)+a \right)^{3}}{x^{4}}\, dx"," ",0,"int((b*ln(c*(d+e/x^(2/3))^n)+a)^3/x^4,x)","F"
532,0,0,707,0.185000," ","int(x^3*(a+b*ln(c*(e*x^(1/2)+d)))^p,x)","\int x^{3} \left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(1/2)+d)))^p,x)","F"
533,0,0,534,0.085000," ","int(x^2*(b*ln((e*x^(1/2)+d)*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(1/2)+d)*c)+a)^p,x)","F"
534,0,0,349,0.083000," ","int(x*(b*ln((e*x^(1/2)+d)*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(1/2)+d)*c)+a)^p,x)","F"
535,0,0,169,0.097000," ","int((b*ln((e*x^(1/2)+d)*c)+a)^p,x)","\int \left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)*c)+a)^p,x)","F"
536,0,0,22,0.072000," ","int((b*ln((e*x^(1/2)+d)*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)*c)+a)^p/x,x)","F"
537,0,0,22,0.075000," ","int((b*ln((e*x^(1/2)+d)*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \sqrt{x}+d \right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)*c)+a)^p/x^2,x)","F"
538,0,0,849,0.245000," ","int(x^3*(a+b*ln(c*(e*x^(1/2)+d)^2))^p,x)","\int x^{3} \left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(1/2)+d)^2))^p,x)","F"
539,0,0,633,0.074000," ","int(x^2*(b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","F"
540,0,0,417,0.072000," ","int(x*(b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","F"
541,0,0,201,0.091000," ","int((b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","\int \left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)^2*c)+a)^p,x)","F"
542,0,0,24,0.074000," ","int((b*ln((e*x^(1/2)+d)^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)^2*c)+a)^p/x,x)","F"
543,0,0,24,0.082000," ","int((b*ln((e*x^(1/2)+d)^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \sqrt{x}+d \right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(1/2)+d)^2*c)+a)^p/x^2,x)","F"
544,0,0,20,0.123000," ","int(x*(a+b*ln(c*(d+e/x^(1/2))))^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(a+b*ln(c*(d+e/x^(1/2))))^p,x)","F"
545,0,0,18,0.079000," ","int((b*ln((d+e/x^(1/2))*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))*c)+a)^p,x)","F"
546,0,0,22,0.083000," ","int((b*ln((d+e/x^(1/2))*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))*c)+a)^p/x,x)","F"
547,0,0,170,0.082000," ","int((b*ln((d+e/x^(1/2))*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))*c)+a)^p/x^2,x)","F"
548,0,0,535,0.081000," ","int((b*ln((d+e/x^(1/2))*c)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))*c)+a)^p/x^4,x)","F"
549,0,0,897,0.079000," ","int((b*ln((d+e/x^(1/2))*c)+a)^p/x^6,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right) c \right)+a \right)^{p}}{x^{6}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))*c)+a)^p/x^6,x)","F"
550,0,0,22,0.233000," ","int(x*(a+b*ln(c*(d+e/x^(1/2))^2))^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(a+b*ln(c*(d+e/x^(1/2))^2))^p,x)","F"
551,0,0,20,0.079000," ","int((b*ln((d+e/x^(1/2))^2*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))^2*c)+a)^p,x)","F"
552,0,0,24,0.079000," ","int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x,x)","F"
553,0,0,201,0.082000," ","int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^2,x)","F"
554,0,0,632,0.084000," ","int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^4,x)","F"
555,0,0,1065,0.080000," ","int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^6,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{\sqrt{x}}\right)^{2} c \right)+a \right)^{p}}{x^{6}}\, dx"," ",0,"int((b*ln((d+e/x^(1/2))^2*c)+a)^p/x^6,x)","F"
556,0,0,1086,0.166000," ","int(x^3*(a+b*ln(c*(e*x^(1/3)+d)))^p,x)","\int x^{3} \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(1/3)+d)))^p,x)","F"
557,0,0,805,0.067000," ","int(x^2*(b*ln((e*x^(1/3)+d)*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(1/3)+d)*c)+a)^p,x)","F"
558,0,0,536,0.073000," ","int(x*(b*ln((e*x^(1/3)+d)*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(1/3)+d)*c)+a)^p,x)","F"
559,0,0,258,0.069000," ","int((b*ln((e*x^(1/3)+d)*c)+a)^p,x)","\int \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)*c)+a)^p,x)","F"
560,0,0,22,0.076000," ","int((b*ln((e*x^(1/3)+d)*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)*c)+a)^p/x,x)","F"
561,0,0,22,0.071000," ","int((b*ln((e*x^(1/3)+d)*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)*c)+a)^p/x^2,x)","F"
562,0,0,1263,0.203000," ","int(x^3*(a+b*ln(c*(e*x^(1/3)+d)^2))^p,x)","\int x^{3} \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(1/3)+d)^2))^p,x)","F"
563,0,0,962,0.070000," ","int(x^2*(b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","F"
564,0,0,623,0.073000," ","int(x*(b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","F"
565,0,0,311,0.068000," ","int((b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","\int \left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)^2*c)+a)^p,x)","F"
566,0,0,24,0.069000," ","int((b*ln((e*x^(1/3)+d)^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)^2*c)+a)^p/x,x)","F"
567,0,0,24,0.071000," ","int((b*ln((e*x^(1/3)+d)^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{1}{3}}+d \right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(1/3)+d)^2*c)+a)^p/x^2,x)","F"
568,0,0,538,0.178000," ","int(x^3*(a+b*ln(c*(e*x^(2/3)+d)))^p,x)","\int x^{3} \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(2/3)+d)))^p,x)","F"
569,0,0,261,0.071000," ","int(x*(b*ln((e*x^(2/3)+d)*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(2/3)+d)*c)+a)^p,x)","F"
570,0,0,22,0.074000," ","int((b*ln((e*x^(2/3)+d)*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)*c)+a)^p/x,x)","F"
571,0,0,22,0.078000," ","int((b*ln((e*x^(2/3)+d)*c)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)*c)+a)^p/x^3,x)","F"
572,0,0,22,0.079000," ","int(x^2*(b*ln((e*x^(2/3)+d)*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(2/3)+d)*c)+a)^p,x)","F"
573,0,0,18,0.067000," ","int((b*ln((e*x^(2/3)+d)*c)+a)^p,x)","\int \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)*c)+a)^p,x)","F"
574,0,0,22,0.071000," ","int((b*ln((e*x^(2/3)+d)*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)*c)+a)^p/x^2,x)","F"
575,0,0,625,0.237000," ","int(x^3*(a+b*ln(c*(e*x^(2/3)+d)^2))^p,x)","\int x^{3} \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(e*x^(2/3)+d)^2))^p,x)","F"
576,0,0,320,0.083000," ","int(x*(b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","\int x \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","F"
577,0,0,24,0.072000," ","int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x,x)","F"
578,0,0,24,0.069000," ","int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x^3,x)","F"
579,0,0,24,0.070000," ","int(x^2*(b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","F"
580,0,0,20,0.070000," ","int((b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","\int \left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)^2*c)+a)^p,x)","F"
581,0,0,24,0.073000," ","int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(e \,x^{\frac{2}{3}}+d \right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((e*x^(2/3)+d)^2*c)+a)^p/x^2,x)","F"
582,0,0,20,0.108000," ","int(x*(a+b*ln(c*(d+e/x^(1/3))))^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(a+b*ln(c*(d+e/x^(1/3))))^p,x)","F"
583,0,0,18,0.071000," ","int((b*ln((d+e/x^(1/3))*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))*c)+a)^p,x)","F"
584,0,0,22,0.078000," ","int((b*ln((d+e/x^(1/3))*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))*c)+a)^p/x,x)","F"
585,0,0,259,0.078000," ","int((b*ln((d+e/x^(1/3))*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))*c)+a)^p/x^2,x)","F"
586,0,0,537,0.073000," ","int((b*ln((d+e/x^(1/3))*c)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))*c)+a)^p/x^3,x)","F"
587,0,0,806,0.071000," ","int((b*ln((d+e/x^(1/3))*c)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right) c \right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))*c)+a)^p/x^4,x)","F"
588,0,0,22,0.199000," ","int(x*(a+b*ln(c*(d+e/x^(1/3))^2))^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(a+b*ln(c*(d+e/x^(1/3))^2))^p,x)","F"
589,0,0,20,0.073000," ","int((b*ln((d+e/x^(1/3))^2*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))^2*c)+a)^p,x)","F"
590,0,0,24,0.079000," ","int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x,x)","F"
591,0,0,312,0.074000," ","int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^2,x)","F"
592,0,0,623,0.073000," ","int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^3,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}}{x^{3}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^3,x)","F"
593,0,0,963,0.077000," ","int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^4,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{1}{3}}}\right)^{2} c \right)+a \right)^{p}}{x^{4}}\, dx"," ",0,"int((b*ln((d+e/x^(1/3))^2*c)+a)^p/x^4,x)","F"
594,0,0,22,0.109000," ","int(x^3*(a+b*ln(c*(d+e/x^(2/3))))^p,x)","\int x^{3} \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e/x^(2/3))))^p,x)","F"
595,0,0,22,0.074000," ","int(x^2*(b*ln((d+e/x^(2/3))*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((d+e/x^(2/3))*c)+a)^p,x)","F"
596,0,0,20,0.076000," ","int(x*(b*ln((d+e/x^(2/3))*c)+a)^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((d+e/x^(2/3))*c)+a)^p,x)","F"
597,0,0,18,0.076000," ","int((b*ln((d+e/x^(2/3))*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))*c)+a)^p,x)","F"
598,0,0,22,0.079000," ","int((b*ln((d+e/x^(2/3))*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))*c)+a)^p/x,x)","F"
599,0,0,22,0.085000," ","int((b*ln((d+e/x^(2/3))*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right) c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))*c)+a)^p/x^2,x)","F"
600,0,0,24,0.225000," ","int(x^3*(a+b*ln(c*(d+e/x^(2/3))^2))^p,x)","\int x^{3} \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^3*(a+b*ln(c*(d+e/x^(2/3))^2))^p,x)","F"
601,0,0,24,0.076000," ","int(x^2*(b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","\int x^{2} \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x^2*(b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","F"
602,0,0,22,0.081000," ","int(x*(b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","\int x \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int(x*(b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","F"
603,0,0,20,0.074000," ","int((b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","\int \left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))^2*c)+a)^p,x)","F"
604,0,0,24,0.089000," ","int((b*ln((d+e/x^(2/3))^2*c)+a)^p/x,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}}{x}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))^2*c)+a)^p/x,x)","F"
605,0,0,24,0.077000," ","int((b*ln((d+e/x^(2/3))^2*c)+a)^p/x^2,x)","\int \frac{\left(b \ln \left(\left(d +\frac{e}{x^{\frac{2}{3}}}\right)^{2} c \right)+a \right)^{p}}{x^{2}}\, dx"," ",0,"int((b*ln((d+e/x^(2/3))^2*c)+a)^p/x^2,x)","F"
606,0,0,441,1.005000," ","int((g*x+f)*(a+b*ln(c*(e*x^2+d)^p))/(h*x)^(1/2),x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\sqrt{h x}}\, dx"," ",0,"int((g*x+f)*(a+b*ln(c*(e*x^2+d)^p))/(h*x)^(1/2),x)","F"
607,0,0,427,0.866000," ","int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2),x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2),x)","F"
608,0,0,406,0.845000," ","int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(5/2),x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(5/2),x)","F"
609,0,0,424,0.832000," ","int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(7/2),x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{7}{2}}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(7/2),x)","F"
610,0,0,441,0.863000," ","int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(9/2),x)","\int \frac{\left(g x +f \right) \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{9}{2}}}\, dx"," ",0,"int((g*x+f)*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(9/2),x)","F"
611,0,0,708,1.052000," ","int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(1/2),x)","\int \frac{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\sqrt{h x}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(1/2),x)","F"
612,0,0,673,1.051000," ","int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2),x)","\int \frac{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{3}{2}}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2),x)","F"
613,0,0,660,1.050000," ","int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(5/2),x)","\int \frac{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{5}{2}}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(5/2),x)","F"
614,0,0,653,1.053000," ","int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(7/2),x)","\int \frac{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{7}{2}}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(7/2),x)","F"
615,0,0,672,1.067000," ","int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(9/2),x)","\int \frac{\left(g x +f \right)^{2} \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{\left(h x \right)^{\frac{9}{2}}}\, dx"," ",0,"int((g*x+f)^2*(b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(9/2),x)","F"
616,0,0,1181,1.007000," ","int((h*x)^(1/2)*(b*ln(c*(e*x^2+d)^p)+a)/(g*x+f),x)","\int \frac{\sqrt{h x}\, \left(b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a \right)}{g x +f}\, dx"," ",0,"int((h*x)^(1/2)*(b*ln(c*(e*x^2+d)^p)+a)/(g*x+f),x)","F"
617,0,0,952,0.907000," ","int((b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(1/2)/(g*x+f),x)","\int \frac{b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a}{\sqrt{h x}\, \left(g x +f \right)}\, dx"," ",0,"int((b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(1/2)/(g*x+f),x)","F"
618,0,0,1164,0.883000," ","int((b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2)/(g*x+f),x)","\int \frac{b \ln \left(c \left(e \,x^{2}+d \right)^{p}\right)+a}{\left(h x \right)^{\frac{3}{2}} \left(g x +f \right)}\, dx"," ",0,"int((b*ln(c*(e*x^2+d)^p)+a)/(h*x)^(3/2)/(g*x+f),x)","F"
619,1,191,33,2.060000," ","int(ln(f*x^p)*ln(1+e*x^m)/x,x)","\frac{i \pi  \dilog \left(e \,x^{m}+1\right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)}{2 m}-\frac{i \pi  \dilog \left(e \,x^{m}+1\right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2}}{2 m}-\frac{i \pi  \dilog \left(e \,x^{m}+1\right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2}}{2 m}+\frac{i \pi  \dilog \left(e \,x^{m}+1\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{3}}{2 m}-\frac{p \polylog \left(2, -e \,x^{m}\right) \ln \left(x \right)}{m}-\frac{\dilog \left(e \,x^{m}+1\right) \ln \left(f \right)}{m}-\frac{\left(-p \ln \left(x \right)+\ln \left(x^{p}\right)\right) \dilog \left(e \,x^{m}+1\right)}{m}+\frac{p \polylog \left(3, -e \,x^{m}\right)}{m^{2}}"," ",0,"-p/m*ln(x)*polylog(2,-e*x^m)+p*polylog(3,-e*x^m)/m^2-(ln(x^p)-p*ln(x))/m*dilog(1+e*x^m)+1/2*I/m*dilog(1+e*x^m)*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)-1/2*I/m*dilog(1+e*x^m)*Pi*csgn(I*f)*csgn(I*f*x^p)^2-1/2*I/m*dilog(1+e*x^m)*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2+1/2*I/m*dilog(1+e*x^m)*Pi*csgn(I*f*x^p)^3-1/m*dilog(1+e*x^m)*ln(f)","C"
620,1,1373,75,0.484000," ","int(x^(m-1)*ln(f*x^p)^2/(e*x^m+d),x)","\frac{\ln \left(f \right)^{2} \ln \left(e \,x^{m}+d \right)}{e m}+\frac{\left(-p \ln \left(x \right)+\ln \left(x^{p}\right)\right)^{2} \ln \left(e \,x^{m}+d \right)}{e m}+\frac{2 p \ln \left(f \right) \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}-\frac{2 p \ln \left(f \right) \ln \left(x \right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{2 p^{2} \polylog \left(3, -\frac{e \,x^{m}}{d}\right)}{e \,m^{3}}-\frac{i \pi  p \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}+\frac{i \pi  p \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(x \right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(f \right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x^{p}\right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(f \right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  \,\mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x^{p}\right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  p \dilog \left(\frac{e \,x^{m}+d}{d}\right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2}}{e \,m^{2}}+\frac{i \pi  p \dilog \left(\frac{e \,x^{m}+d}{d}\right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2}}{e \,m^{2}}+\frac{2 \left(-p \ln \left(x \right)+\ln \left(x^{p}\right)\right) p \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}+\frac{2 p^{2} \polylog \left(2, -\frac{e \,x^{m}}{d}\right) \ln \left(x \right)}{e \,m^{2}}-\frac{i \pi  p \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right) \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}+\frac{i \pi  p \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right) \ln \left(x \right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right) \ln \left(f \right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right) \ln \left(x^{p}\right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  p \dilog \left(\frac{e \,x^{m}+d}{d}\right) \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)}{e \,m^{2}}+\frac{i \pi  p \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}-\frac{i \pi  p \,\mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x \right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{i \pi  p \,\mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)}{e m}-\frac{i \pi  p \,\mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(x \right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{\pi^{2} \mathrm{csgn}\left(i f \right)^{2} \mathrm{csgn}\left(i x^{p}\right)^{2} \mathrm{csgn}\left(i f \,x^{p}\right)^{2} \ln \left(e \,x^{m}+d \right)}{4 e m}+\frac{\pi^{2} \mathrm{csgn}\left(i f \right)^{2} \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(e \,x^{m}+d \right)}{2 e m}+\frac{\pi^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right)^{2} \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(e \,x^{m}+d \right)}{2 e m}-\frac{\pi^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{4} \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(f \right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  \mathrm{csgn}\left(i f \,x^{p}\right)^{3} \ln \left(x^{p}\right) \ln \left(e \,x^{m}+d \right)}{e m}-\frac{i \pi  p \dilog \left(\frac{e \,x^{m}+d}{d}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{3}}{e \,m^{2}}-\frac{\pi^{2} \mathrm{csgn}\left(i f \right)^{2} \mathrm{csgn}\left(i f \,x^{p}\right)^{4} \ln \left(e \,x^{m}+d \right)}{4 e m}+\frac{\pi^{2} \mathrm{csgn}\left(i f \right) \mathrm{csgn}\left(i f \,x^{p}\right)^{5} \ln \left(e \,x^{m}+d \right)}{2 e m}-\frac{\pi^{2} \mathrm{csgn}\left(i x^{p}\right)^{2} \mathrm{csgn}\left(i f \,x^{p}\right)^{4} \ln \left(e \,x^{m}+d \right)}{4 e m}+\frac{\pi^{2} \mathrm{csgn}\left(i x^{p}\right) \mathrm{csgn}\left(i f \,x^{p}\right)^{5} \ln \left(e \,x^{m}+d \right)}{2 e m}+\frac{2 \ln \left(f \right) \ln \left(x^{p}\right) \ln \left(e \,x^{m}+d \right)}{e m}+\frac{p^{2} \ln \left(x \right)^{2} \ln \left(\frac{e \,x^{m}}{d}+1\right)}{e m}+\frac{2 \left(-p \ln \left(x \right)+\ln \left(x^{p}\right)\right) p \dilog \left(\frac{e \,x^{m}+d}{d}\right)}{e \,m^{2}}+\frac{2 p \dilog \left(\frac{e \,x^{m}+d}{d}\right) \ln \left(f \right)}{e \,m^{2}}-\frac{\pi^{2} \mathrm{csgn}\left(i f \,x^{p}\right)^{6} \ln \left(e \,x^{m}+d \right)}{4 e m}"," ",0,"1/m*ln(e*x^m+d)/e*ln(f)^2+1/m*(-p*ln(x)+ln(x^p))^2*ln(e*x^m+d)/e+I/m*ln(e*x^m+d)/e*p*ln(x)*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)+I/m*ln(e*x^m+d)/e*ln(f)*Pi*csgn(I*f)*csgn(I*f*x^p)^2+I/m*ln(e*x^m+d)/e*ln(x^p)*Pi*csgn(I*f)*csgn(I*f*x^p)^2+I/m*ln(e*x^m+d)/e*ln(f)*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2-I/m*p*ln(x)*ln((e*x^m+d)/d)/e*Pi*csgn(I*f*x^p)^3-I/m*ln(e*x^m+d)/e*ln(x^p)*Pi*csgn(I*f*x^p)^3+I/m^2*p*dilog((e*x^m+d)/d)/e*Pi*csgn(I*f)*csgn(I*f*x^p)^2+I/m*ln(e*x^m+d)/e*p*ln(x)*Pi*csgn(I*f*x^p)^3+2/m*p*ln(x)*ln((e*x^m+d)/d)/e*ln(f)-2/m*ln(e*x^m+d)/e*p*ln(x)*ln(f)+1/2/m*ln(e*x^m+d)/e*Pi^2*csgn(I*x^p)*csgn(I*f*x^p)^5+I/m^2*p*dilog((e*x^m+d)/d)/e*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2-1/4/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)^2*csgn(I*f*x^p)^4-1/4/m*ln(e*x^m+d)/e*Pi^2*csgn(I*x^p)^2*csgn(I*f*x^p)^4+1/2/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)*csgn(I*f*x^p)^5+I/m*ln(e*x^m+d)/e*ln(x^p)*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2-2*p^2*polylog(3,-1/d*e*x^m)/e/m^3+2/m*p*(-p*ln(x)+ln(x^p))*ln(x)*ln((e*x^m+d)/d)/e-I/m*p*ln(x)*ln((e*x^m+d)/d)/e*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)+I/m*p*ln(x)*ln((e*x^m+d)/d)/e*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2-I/m^2*p*dilog((e*x^m+d)/d)/e*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)-I/m*ln(e*x^m+d)/e*ln(x^p)*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)+I/m*p*ln(x)*ln((e*x^m+d)/d)/e*Pi*csgn(I*f)*csgn(I*f*x^p)^2-I/m*ln(e*x^m+d)/e*p*ln(x)*Pi*csgn(I*x^p)*csgn(I*f*x^p)^2-I/m^2*p*dilog((e*x^m+d)/d)/e*Pi*csgn(I*f*x^p)^3-I/m*ln(e*x^m+d)/e*ln(f)*Pi*csgn(I*f*x^p)^3+1/2/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)^2*csgn(I*x^p)*csgn(I*f*x^p)^3-1/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)^4+1/2/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)*csgn(I*x^p)^2*csgn(I*f*x^p)^3-1/4/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f)^2*csgn(I*x^p)^2*csgn(I*f*x^p)^2-I/m*ln(e*x^m+d)/e*ln(f)*Pi*csgn(I*f)*csgn(I*x^p)*csgn(I*f*x^p)-I/m*ln(e*x^m+d)/e*p*ln(x)*Pi*csgn(I*f)*csgn(I*f*x^p)^2+2/m^2*p^2/e*ln(x)*polylog(2,-1/d*e*x^m)+2/m^2*p*(-p*ln(x)+ln(x^p))*dilog((e*x^m+d)/d)/e+2/m*ln(e*x^m+d)/e*ln(x^p)*ln(f)+2/m^2*p*dilog((e*x^m+d)/d)/e*ln(f)+1/m*p^2/e*ln(x)^2*ln(1/d*e*x^m+1)-1/4/m*ln(e*x^m+d)/e*Pi^2*csgn(I*f*x^p)^6","C"
621,0,0,157,0.199000," ","int(ln(f*x^p)^3*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a \right) \ln \left(f \,x^{p}\right)^{3}}{x}\, dx"," ",0,"int(ln(f*x^p)^3*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","F"
622,0,0,128,0.187000," ","int(ln(f*x^p)^2*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a \right) \ln \left(f \,x^{p}\right)^{2}}{x}\, dx"," ",0,"int(ln(f*x^p)^2*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","F"
623,0,0,98,0.186000," ","int(ln(f*x^p)*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","\int \frac{\left(b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a \right) \ln \left(f \,x^{p}\right)}{x}\, dx"," ",0,"int(ln(f*x^p)*(b*ln(c*(e*x^m+d)^n)+a)/x,x)","F"
624,1,189,49,3.187000," ","int((b*ln(c*(e*x^m+d)^n)+a)/x,x)","-\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i \left(e \,x^{m}+d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e \,x^{m}+d \right)^{n}\right) \ln \left(x \right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i c \right) \mathrm{csgn}\left(i c \left(e \,x^{m}+d \right)^{n}\right)^{2} \ln \left(x \right)}{2}+\frac{i \pi  b \,\mathrm{csgn}\left(i \left(e \,x^{m}+d \right)^{n}\right) \mathrm{csgn}\left(i c \left(e \,x^{m}+d \right)^{n}\right)^{2} \ln \left(x \right)}{2}-\frac{i \pi  b \mathrm{csgn}\left(i c \left(e \,x^{m}+d \right)^{n}\right)^{3} \ln \left(x \right)}{2}-b n \ln \left(x \right) \ln \left(\frac{e \,x^{m}+d}{d}\right)+b \ln \left(c \right) \ln \left(x \right)+b \ln \left(x \right) \ln \left(\left(e \,x^{m}+d \right)^{n}\right)+a \ln \left(x \right)-\frac{b n \dilog \left(\frac{e \,x^{m}+d}{d}\right)}{m}"," ",0,"b*ln(x)*ln((e*x^m+d)^n)+1/2*I*ln(x)*b*Pi*csgn(I*(e*x^m+d)^n)*csgn(I*c*(e*x^m+d)^n)^2-1/2*I*ln(x)*b*Pi*csgn(I*(e*x^m+d)^n)*csgn(I*c*(e*x^m+d)^n)*csgn(I*c)-1/2*I*ln(x)*b*Pi*csgn(I*c*(e*x^m+d)^n)^3+1/2*I*ln(x)*b*Pi*csgn(I*c*(e*x^m+d)^n)^2*csgn(I*c)+b*ln(c)*ln(x)+a*ln(x)-b*n/m*dilog((e*x^m+d)/d)-b*n*ln(x)*ln((e*x^m+d)/d)","C"
625,0,0,41,0.181000," ","int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p),x)","\int \frac{b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a}{x \ln \left(f \,x^{p}\right)}\, dx"," ",0,"int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p),x)","F"
626,0,0,65,0.182000," ","int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p)^2,x)","\int \frac{b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a}{x \ln \left(f \,x^{p}\right)^{2}}\, dx"," ",0,"int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p)^2,x)","F"
627,0,0,67,0.217000," ","int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p)^3,x)","\int \frac{b \ln \left(c \left(e \,x^{m}+d \right)^{n}\right)+a}{x \ln \left(f \,x^{p}\right)^{3}}\, dx"," ",0,"int((b*ln(c*(e*x^m+d)^n)+a)/x/ln(f*x^p)^3,x)","F"
628,0,0,78,2.056000," ","int(ln(c*(d+e*(g*x+f)^p)^q),x)","\int \ln \left(c \left(e \left(g x +f \right)^{p}+d \right)^{q}\right)\, dx"," ",0,"int(ln(c*(d+e*(g*x+f)^p)^q),x)","F"
629,1,145,134,0.477000," ","int(ln(c*(d+e*(g*x+f)^3)^q),x)","-3 q x +x \ln \left(c \left(e \,g^{3} x^{3}+3 e f \,g^{2} x^{2}+3 e \,f^{2} g x +e \,f^{3}+d \right)^{q}\right)-\frac{q \left(-\RootOf \left(e \,g^{3} \textit{\_Z}^{3}+3 e f \,g^{2} \textit{\_Z}^{2}+3 e \,f^{2} g \textit{\_Z} +e \,f^{3}+d \right)^{2} e f \,g^{2}-2 \RootOf \left(e \,g^{3} \textit{\_Z}^{3}+3 e f \,g^{2} \textit{\_Z}^{2}+3 e \,f^{2} g \textit{\_Z} +e \,f^{3}+d \right) e \,f^{2} g -e \,f^{3}-d \right) \ln \left(-\RootOf \left(e \,g^{3} \textit{\_Z}^{3}+3 e f \,g^{2} \textit{\_Z}^{2}+3 e \,f^{2} g \textit{\_Z} +e \,f^{3}+d \right)+x \right)}{e g \left(g^{2} \RootOf \left(e \,g^{3} \textit{\_Z}^{3}+3 e f \,g^{2} \textit{\_Z}^{2}+3 e \,f^{2} g \textit{\_Z} +e \,f^{3}+d \right)^{2}+2 f g \RootOf \left(e \,g^{3} \textit{\_Z}^{3}+3 e f \,g^{2} \textit{\_Z}^{2}+3 e \,f^{2} g \textit{\_Z} +e \,f^{3}+d \right)+f^{2}\right)}"," ",0,"x*ln(c*(e*g^3*x^3+3*e*f*g^2*x^2+3*e*f^2*g*x+e*f^3+d)^q)-3*q*x-1/g/e*q*sum((-_R^2*e*f*g^2-2*_R*e*f^2*g-e*f^3-d)/(_R^2*g^2+2*_R*f*g+f^2)*ln(-_R+x),_R=RootOf(_Z^3*e*g^3+3*_Z^2*e*f*g^2+3*_Z*e*f^2*g+e*f^3+d))","C"
630,1,98,55,0.167000," ","int(ln(c*(d+e*(g*x+f)^2)^q),x)","\frac{2 d q \arctan \left(\frac{2 e \,g^{2} x +2 e f g}{2 \sqrt{d e}\, g}\right)}{\sqrt{d e}\, g}+\frac{f q \ln \left(e \,g^{2} x^{2}+2 e f g x +e \,f^{2}+d \right)}{g}-2 q x +x \ln \left(c \left(e \,g^{2} x^{2}+2 e f g x +e \,f^{2}+d \right)^{q}\right)"," ",0,"x*ln(c*(e*g^2*x^2+2*e*f*g*x+e*f^2+d)^q)-2*q*x+q/g*f*ln(e*g^2*x^2+2*e*f*g*x+e*f^2+d)+2*q/g*d/(d*e)^(1/2)*arctan(1/2*(2*e*g^2*x+2*e*f*g)/g/(d*e)^(1/2))","A"
631,1,57,35,0.118000," ","int(ln(c*(d+(g*x+f)*e)^q),x)","\frac{f q \ln \left(e g x +e f +d \right)}{g}-q x +x \ln \left(c \left(e g x +e f +d \right)^{q}\right)+\frac{d q \ln \left(e g x +e f +d \right)}{e g}"," ",0,"x*ln(c*(e*g*x+e*f+d)^q)-q*x+q/g*ln(e*g*x+e*f+d)*f+q/e/g*ln(e*g*x+e*f+d)*d","A"
632,1,74,45,0.134000," ","int(ln(c*(d+e/(g*x+f))^q),x)","-\frac{f q \ln \left(g x +f \right)}{g}+\frac{f q \ln \left(d g x +d f +e \right)}{g}+x \ln \left(c \left(\frac{d g x +d f +e}{g x +f}\right)^{q}\right)+\frac{e q \ln \left(d g x +d f +e \right)}{d g}"," ",0,"x*ln(c*((d*g*x+d*f+e)/(g*x+f))^q)+1/g*q*ln(d*g*x+d*f+e)*f+1/g*e*q/d*ln(d*g*x+d*f+e)-1/g*q*f*ln(g*x+f)","A"
633,1,115,51,0.129000," ","int(ln(c*(d+e/(g*x+f)^2)^q),x)","\frac{2 e q \arctan \left(\frac{2 d \,g^{2} x +2 d f g}{2 \sqrt{d e}\, g}\right)}{\sqrt{d e}\, g}-\frac{2 f q \ln \left(g x +f \right)}{g}+\frac{f q \ln \left(d \,g^{2} x^{2}+2 d f g x +d \,f^{2}+e \right)}{g}+x \ln \left(c \left(\frac{d \,g^{2} x^{2}+2 d f g x +d \,f^{2}+e}{\left(g x +f \right)^{2}}\right)^{q}\right)"," ",0,"x*ln(c*((d*g^2*x^2+2*d*f*g*x+d*f^2+e)/(g*x+f)^2)^q)+1/g*q*f*ln(d*g^2*x^2+2*d*f*g*x+d*f^2+e)+2/g*e*q/(d*e)^(1/2)*arctan(1/2*(2*d*g^2*x+2*d*f*g)/g/(d*e)^(1/2))-2*f/g*q*ln(g*x+f)","B"
634,1,157,130,0.477000," ","int(ln(c*(d+e/(g*x+f)^3)^q),x)","-\frac{3 f q \ln \left(g x +f \right)}{g}+x \ln \left(c \left(\frac{d \,g^{3} x^{3}+3 d f \,g^{2} x^{2}+3 d \,f^{2} g x +d \,f^{3}+e}{\left(g x +f \right)^{3}}\right)^{q}\right)+\frac{q \left(\RootOf \left(d \,g^{3} \textit{\_Z}^{3}+3 d f \,g^{2} \textit{\_Z}^{2}+3 d \,f^{2} g \textit{\_Z} +d \,f^{3}+e \right)^{2} d f \,g^{2}+2 \RootOf \left(d \,g^{3} \textit{\_Z}^{3}+3 d f \,g^{2} \textit{\_Z}^{2}+3 d \,f^{2} g \textit{\_Z} +d \,f^{3}+e \right) d \,f^{2} g +d \,f^{3}+e \right) \ln \left(-\RootOf \left(d \,g^{3} \textit{\_Z}^{3}+3 d f \,g^{2} \textit{\_Z}^{2}+3 d \,f^{2} g \textit{\_Z} +d \,f^{3}+e \right)+x \right)}{d g \left(g^{2} \RootOf \left(d \,g^{3} \textit{\_Z}^{3}+3 d f \,g^{2} \textit{\_Z}^{2}+3 d \,f^{2} g \textit{\_Z} +d \,f^{3}+e \right)^{2}+2 f g \RootOf \left(d \,g^{3} \textit{\_Z}^{3}+3 d f \,g^{2} \textit{\_Z}^{2}+3 d \,f^{2} g \textit{\_Z} +d \,f^{3}+e \right)+f^{2}\right)}"," ",0,"x*ln(c*((d*g^3*x^3+3*d*f*g^2*x^2+3*d*f^2*g*x+d*f^3+e)/(g*x+f)^3)^q)+1/g*q/d*sum((_R^2*d*f*g^2+2*_R*d*f^2*g+d*f^3+e)/(_R^2*g^2+2*_R*f*g+f^2)*ln(-_R+x),_R=RootOf(_Z^3*d*g^3+3*_Z^2*d*f*g^2+3*_Z*d*f^2*g+d*f^3+e))-3*f/g*q*ln(g*x+f)","C"
635,0,0,24,0.296000," ","int((a+b*ln(c*(d+e/(g*x+f))^p))^n,x)","\int \left(b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a \right)^{n}\, dx"," ",0,"int((a+b*ln(c*(d+e/(g*x+f))^p))^n,x)","F"
636,0,0,221,0.203000," ","int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^4,x)","\int \left(b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a \right)^{4}\, dx"," ",0,"int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^4,x)","F"
637,0,0,168,0.097000," ","int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^3,x)","\int \left(b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a \right)^{3}\, dx"," ",0,"int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^3,x)","F"
638,0,0,115,0.155000," ","int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^2,x)","\int \left(b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a \right)^{2}\, dx"," ",0,"int((b*ln(c*(d+1/(g*x+f)*e)^p)+a)^2,x)","F"
639,1,81,50,0.102000," ","int(b*ln(c*(d+1/(g*x+f)*e)^p)+a,x)","-\frac{b f p \ln \left(g x +f \right)}{g}+\frac{b f p \ln \left(d g x +d f +e \right)}{g}+b x \ln \left(c \left(\frac{d g x +d f +e}{g x +f}\right)^{p}\right)+a x +\frac{b e p \ln \left(d g x +d f +e \right)}{d g}"," ",0,"a*x+b*x*ln(c*((d*g*x+d*f+e)/(g*x+f))^p)+b/g*p*ln(d*g*x+d*f+e)*f+b*e/g*p/d*ln(d*g*x+d*f+e)-b/g*p*f*ln(g*x+f)","A"
640,0,0,24,0.154000," ","int(1/(b*ln(c*(d+1/(g*x+f)*e)^p)+a),x)","\int \frac{1}{b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a}\, dx"," ",0,"int(1/(b*ln(c*(d+1/(g*x+f)*e)^p)+a),x)","F"
641,0,0,24,0.156000," ","int(1/(b*ln(c*(d+1/(g*x+f)*e)^p)+a)^2,x)","\int \frac{1}{\left(b \ln \left(c \left(d +\frac{e}{g x +f}\right)^{p}\right)+a \right)^{2}}\, dx"," ",0,"int(1/(b*ln(c*(d+1/(g*x+f)*e)^p)+a)^2,x)","F"