1,1,62,80,0.221338,"\text{Not used}","int(x^4*log(c*(a + b*x^2)^p),x)","\frac{x^5\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{5}-\frac{2\,p\,x^5}{25}+\frac{2\,a^{5/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{5\,b^{5/2}}+\frac{2\,a\,p\,x^3}{15\,b}-\frac{2\,a^2\,p\,x}{5\,b^2}","Not used",1,"(x^5*log(c*(a + b*x^2)^p))/5 - (2*p*x^5)/25 + (2*a^(5/2)*p*atan((b^(1/2)*x)/a^(1/2)))/(5*b^(5/2)) + (2*a*p*x^3)/(15*b) - (2*a^2*p*x)/(5*b^2)","B"
2,1,51,59,0.223937,"\text{Not used}","int(x^3*log(c*(a + b*x^2)^p),x)","\frac{x^4\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{4}-\frac{p\,x^4}{8}-\frac{a^2\,p\,\ln\left(b\,x^2+a\right)}{4\,b^2}+\frac{a\,p\,x^2}{4\,b}","Not used",1,"(x^4*log(c*(a + b*x^2)^p))/4 - (p*x^4)/8 - (a^2*p*log(a + b*x^2))/(4*b^2) + (a*p*x^2)/(4*b)","B"
3,1,50,66,0.228425,"\text{Not used}","int(x^2*log(c*(a + b*x^2)^p),x)","\frac{x^3\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{3}-\frac{2\,p\,x^3}{9}-\frac{2\,a^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{3\,b^{3/2}}+\frac{2\,a\,p\,x}{3\,b}","Not used",1,"(x^3*log(c*(a + b*x^2)^p))/3 - (2*p*x^3)/9 - (2*a^(3/2)*p*atan((b^(1/2)*x)/a^(1/2)))/(3*b^(3/2)) + (2*a*p*x)/(3*b)","B"
4,1,39,35,0.225899,"\text{Not used}","int(x*log(c*(a + b*x^2)^p),x)","\frac{x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{2}-\frac{p\,x^2}{2}+\frac{a\,p\,\ln\left(b\,x^2+a\right)}{2\,b}","Not used",1,"(x^2*log(c*(a + b*x^2)^p))/2 - (p*x^2)/2 + (a*p*log(a + b*x^2))/(2*b)","B"
5,1,37,45,0.223948,"\text{Not used}","int(log(c*(a + b*x^2)^p),x)","x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-2\,p\,x+\frac{2\,\sqrt{a}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{b}}","Not used",1,"x*log(c*(a + b*x^2)^p) - 2*p*x + (2*a^(1/2)*p*atan((b^(1/2)*x)/a^(1/2)))/b^(1/2)","B"
6,0,-1,44,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x,x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/x, x)","F"
7,1,36,44,0.220901,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^2,x)","\frac{2\,\sqrt{b}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{x}","Not used",1,"(2*b^(1/2)*p*atan((b^(1/2)*x)/a^(1/2)))/a^(1/2) - log(c*(a + b*x^2)^p)/x","B"
8,1,41,38,0.244613,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^3,x)","\frac{b\,p\,\ln\left(x\right)}{a}-\frac{b\,p\,\ln\left(b\,x^2+a\right)}{2\,a}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{2\,x^2}","Not used",1,"(b*p*log(x))/a - (b*p*log(a + b*x^2))/(2*a) - log(c*(a + b*x^2)^p)/(2*x^2)","B"
9,1,46,60,0.251841,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^4,x)","-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{3\,x^3}-\frac{2\,b^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{3\,a^{3/2}}-\frac{2\,b\,p}{3\,a\,x}","Not used",1,"- log(c*(a + b*x^2)^p)/(3*x^3) - (2*b^(3/2)*p*atan((b^(1/2)*x)/a^(1/2)))/(3*a^(3/2)) - (2*b*p)/(3*a*x)","B"
10,1,56,64,0.258888,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^5,x)","\frac{b^2\,p\,\ln\left(b\,x^2+a\right)}{4\,a^2}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{4\,x^4}-\frac{b^2\,p\,\ln\left(x\right)}{2\,a^2}-\frac{b\,p}{4\,a\,x^2}","Not used",1,"(b^2*p*log(a + b*x^2))/(4*a^2) - log(c*(a + b*x^2)^p)/(4*x^4) - (b^2*p*log(x))/(2*a^2) - (b*p)/(4*a*x^2)","B"
11,1,61,74,0.260937,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^6,x)","\frac{2\,b^{5/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{5\,a^{5/2}}-\frac{\frac{2\,b\,p}{3\,a}-\frac{2\,b^2\,p\,x^2}{a^2}}{5\,x^3}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{5\,x^5}","Not used",1,"(2*b^(5/2)*p*atan((b^(1/2)*x)/a^(1/2)))/(5*a^(5/2)) - ((2*b*p)/(3*a) - (2*b^2*p*x^2)/a^2)/(5*x^3) - log(c*(a + b*x^2)^p)/(5*x^5)","B"
12,1,68,78,0.257362,"\text{Not used}","int(log(c*(a + b*x^2)^p)/x^7,x)","\frac{b^2\,p}{6\,a^2\,x^2}-\frac{b^3\,p\,\ln\left(b\,x^2+a\right)}{6\,a^3}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{6\,x^6}+\frac{b^3\,p\,\ln\left(x\right)}{3\,a^3}-\frac{b\,p}{12\,a\,x^4}","Not used",1,"(b^2*p)/(6*a^2*x^2) - (b^3*p*log(a + b*x^2))/(6*a^3) - log(c*(a + b*x^2)^p)/(6*x^6) + (b^3*p*log(x))/(3*a^3) - (b*p)/(12*a*x^4)","B"
13,1,51,59,0.238793,"\text{Not used}","int(x^5*log(c*(a + b*x^3)^p),x)","\frac{x^6\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{6}-\frac{p\,x^6}{12}-\frac{a^2\,p\,\ln\left(b\,x^3+a\right)}{6\,b^2}+\frac{a\,p\,x^3}{6\,b}","Not used",1,"(x^6*log(c*(a + b*x^3)^p))/6 - (p*x^6)/12 - (a^2*p*log(a + b*x^3))/(6*b^2) + (a*p*x^3)/(6*b)","B"
14,1,157,159,2.502642,"\text{Not used}","int(x^4*log(c*(a + b*x^3)^p),x)","\frac{x^5\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{5}-\frac{3\,p\,x^5}{25}+\frac{a^{5/3}\,p\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{5\,b^{5/3}}+\frac{3\,a\,p\,x^2}{10\,b}+\frac{a^{5/3}\,p\,\ln\left(\frac{9\,a^4\,p^2\,x}{25\,b}+\frac{9\,a^{13/3}\,p^2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{25\,b^{4/3}}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{5\,b^{5/3}}-\frac{a^{5/3}\,p\,\ln\left(\frac{9\,a^4\,p^2\,x}{25\,b}+\frac{9\,a^{13/3}\,p^2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{25\,b^{4/3}}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{5\,b^{5/3}}","Not used",1,"(x^5*log(c*(a + b*x^3)^p))/5 - (3*p*x^5)/25 + (a^(5/3)*p*log(b^(1/3)*x + a^(1/3)))/(5*b^(5/3)) + (3*a*p*x^2)/(10*b) + (a^(5/3)*p*log((9*a^4*p^2*x)/(25*b) + (9*a^(13/3)*p^2*((3^(1/2)*1i)/2 - 1/2)^2)/(25*b^(4/3)))*((3^(1/2)*1i)/2 - 1/2))/(5*b^(5/3)) - (a^(5/3)*p*log((9*a^4*p^2*x)/(25*b) + (9*a^(13/3)*p^2*((3^(1/2)*1i)/2 + 1/2)^2)/(25*b^(4/3)))*((3^(1/2)*1i)/2 + 1/2))/(5*b^(5/3))","B"
15,1,129,157,2.554623,"\text{Not used}","int(x^3*log(c*(a + b*x^3)^p),x)","\frac{x^4\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{4}-\frac{3\,p\,x^4}{16}+\frac{3\,a\,p\,x}{4\,b}-\frac{a^{4/3}\,p\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{4\,b^{4/3}}+\frac{a^{4/3}\,p\,\ln\left(2\,b^{1/3}\,x-a^{1/3}-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,b^{4/3}}-\frac{a^{4/3}\,p\,\ln\left(2\,b^{1/3}\,x-a^{1/3}+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,b^{4/3}}","Not used",1,"(x^4*log(c*(a + b*x^3)^p))/4 - (3*p*x^4)/16 + (3*a*p*x)/(4*b) - (a^(4/3)*p*log(b^(1/3)*x + a^(1/3)))/(4*b^(4/3)) + (a^(4/3)*p*log(2*b^(1/3)*x - 3^(1/2)*a^(1/3)*1i - a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(4*b^(4/3)) - (a^(4/3)*p*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*x - a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(4*b^(4/3))","B"
16,1,39,35,0.231766,"\text{Not used}","int(x^2*log(c*(a + b*x^3)^p),x)","\frac{x^3\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{3}-\frac{p\,x^3}{3}+\frac{a\,p\,\ln\left(b\,x^3+a\right)}{3\,b}","Not used",1,"(x^3*log(c*(a + b*x^3)^p))/3 - (p*x^3)/3 + (a*p*log(a + b*x^3))/(3*b)","B"
17,1,121,147,2.377773,"\text{Not used}","int(x*log(c*(a + b*x^3)^p),x)","\frac{x^2\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{2}-\frac{3\,p\,x^2}{4}-\frac{a^{2/3}\,p\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{2\,b^{2/3}}-\frac{a^{2/3}\,p\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}-\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{2/3}}+\frac{a^{2/3}\,p\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}+\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{2/3}}","Not used",1,"(x^2*log(c*(a + b*x^3)^p))/2 - (3*p*x^2)/4 - (a^(2/3)*p*log(b^(1/3)*x + a^(1/3)))/(2*b^(2/3)) - (a^(2/3)*p*log(4*b^(1/3)*x - 3^(1/2)*a^(1/3)*2i - 2*a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(2*b^(2/3)) + (a^(2/3)*p*log(3^(1/2)*a^(1/3)*2i + 4*b^(1/3)*x - 2*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(2*b^(2/3))","B"
18,1,134,133,0.458022,"\text{Not used}","int(log(c*(a + b*x^3)^p),x)","x\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)-3\,p\,x-\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left({\left(-a\right)}^{4/3}+a\,b^{1/3}\,x\right)}{b^{1/3}}+\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left(2\,a\,b^{1/3}\,x-{\left(-a\right)}^{4/3}-\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}-\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left(2\,a\,b^{1/3}\,x-{\left(-a\right)}^{4/3}+\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}","Not used",1,"x*log(c*(a + b*x^3)^p) - 3*p*x - ((-a)^(1/3)*p*log((-a)^(4/3) + a*b^(1/3)*x))/b^(1/3) + ((-a)^(1/3)*p*log(2*a*b^(1/3)*x - 3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3))*((3^(1/2)*1i)/2 + 1/2))/b^(1/3) - ((-a)^(1/3)*p*log(3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3) + 2*a*b^(1/3)*x)*((3^(1/2)*1i)/2 - 1/2))/b^(1/3)","B"
19,0,-1,44,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x,x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/x, x)","F"
20,1,149,133,0.809975,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^2,x)","\frac{{\left(-b\right)}^{1/3}\,p\,\ln\left(a^{1/3}\,{\left(-b\right)}^{8/3}+b^3\,x\right)}{a^{1/3}}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x}+\frac{{\left(-b\right)}^{1/3}\,p\,\ln\left(9\,b^3\,p^2\,x+9\,a^{1/3}\,{\left(-b\right)}^{8/3}\,p^2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}}-\frac{{\left(-b\right)}^{1/3}\,p\,\ln\left(9\,b^3\,p^2\,x+9\,a^{1/3}\,{\left(-b\right)}^{8/3}\,p^2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}}","Not used",1,"((-b)^(1/3)*p*log(a^(1/3)*(-b)^(8/3) + b^3*x))/a^(1/3) - log(c*(a + b*x^3)^p)/x + ((-b)^(1/3)*p*log(9*b^3*p^2*x + 9*a^(1/3)*(-b)^(8/3)*p^2*((3^(1/2)*1i)/2 - 1/2)^2)*((3^(1/2)*1i)/2 - 1/2))/a^(1/3) - ((-b)^(1/3)*p*log(9*b^3*p^2*x + 9*a^(1/3)*(-b)^(8/3)*p^2*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/a^(1/3)","B"
21,1,115,139,2.606389,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^3,x)","\frac{b^{2/3}\,p\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{2\,a^{2/3}}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{2\,x^2}-\frac{b^{2/3}\,p\,\ln\left(2\,b^{1/3}\,x-a^{1/3}-\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,a^{2/3}}+\frac{b^{2/3}\,p\,\ln\left(2\,b^{1/3}\,x-a^{1/3}+\sqrt{3}\,a^{1/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,a^{2/3}}","Not used",1,"(b^(2/3)*p*log(b^(1/3)*x + a^(1/3)))/(2*a^(2/3)) - log(c*(a + b*x^3)^p)/(2*x^2) - (b^(2/3)*p*log(2*b^(1/3)*x - 3^(1/2)*a^(1/3)*1i - a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(2*a^(2/3)) + (b^(2/3)*p*log(3^(1/2)*a^(1/3)*1i + 2*b^(1/3)*x - a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(2*a^(2/3))","B"
22,1,41,45,0.258751,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^4,x)","\frac{b\,p\,\ln\left(x\right)}{a}-\frac{b\,p\,\ln\left(b\,x^3+a\right)}{3\,a}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{3\,x^3}","Not used",1,"(b*p*log(x))/a - (b*p*log(a + b*x^3))/(3*a) - log(c*(a + b*x^3)^p)/(3*x^3)","B"
23,1,125,151,2.361312,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^5,x)","\frac{b^{4/3}\,p\,\ln\left(b^{1/3}\,x+a^{1/3}\right)}{4\,a^{4/3}}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{4\,x^4}-\frac{3\,b\,p}{4\,a\,x}+\frac{b^{4/3}\,p\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}-\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,a^{4/3}}-\frac{b^{4/3}\,p\,\ln\left(4\,b^{1/3}\,x-2\,a^{1/3}+\sqrt{3}\,a^{1/3}\,2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,a^{4/3}}","Not used",1,"(b^(4/3)*p*log(b^(1/3)*x + a^(1/3)))/(4*a^(4/3)) - log(c*(a + b*x^3)^p)/(4*x^4) - (3*b*p)/(4*a*x) + (b^(4/3)*p*log(4*b^(1/3)*x - 3^(1/2)*a^(1/3)*2i - 2*a^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(4*a^(4/3)) - (b^(4/3)*p*log(3^(1/2)*a^(1/3)*2i + 4*b^(1/3)*x - 2*a^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(4*a^(4/3))","B"
24,1,156,151,2.446134,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^6,x)","\frac{{\left(-b\right)}^{5/3}\,p\,\ln\left(a^{1/3}\,{\left(-b\right)}^{11/3}-b^4\,x\right)}{5\,a^{5/3}}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{5\,x^5}-\frac{3\,b\,p}{10\,a\,x^2}+\frac{{\left(-b\right)}^{5/3}\,p\,\ln\left(225\,a^2\,b^4\,p\,x-225\,a^{7/3}\,{\left(-b\right)}^{11/3}\,p\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{5\,a^{5/3}}-\frac{{\left(-b\right)}^{5/3}\,p\,\ln\left(225\,a^2\,b^4\,p\,x+225\,a^{7/3}\,{\left(-b\right)}^{11/3}\,p\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{5\,a^{5/3}}","Not used",1,"((-b)^(5/3)*p*log(a^(1/3)*(-b)^(11/3) - b^4*x))/(5*a^(5/3)) - log(c*(a + b*x^3)^p)/(5*x^5) - (3*b*p)/(10*a*x^2) + ((-b)^(5/3)*p*log(225*a^2*b^4*p*x - 225*a^(7/3)*(-b)^(11/3)*p*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(5*a^(5/3)) - ((-b)^(5/3)*p*log(225*a^2*b^4*p*x + 225*a^(7/3)*(-b)^(11/3)*p*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(5*a^(5/3))","B"
25,1,56,64,0.284166,"\text{Not used}","int(log(c*(a + b*x^3)^p)/x^7,x)","\frac{b^2\,p\,\ln\left(b\,x^3+a\right)}{6\,a^2}-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{6\,x^6}-\frac{b^2\,p\,\ln\left(x\right)}{2\,a^2}-\frac{b\,p}{6\,a\,x^3}","Not used",1,"(b^2*p*log(a + b*x^3))/(6*a^2) - log(c*(a + b*x^3)^p)/(6*x^6) - (b^2*p*log(x))/(2*a^2) - (b*p)/(6*a*x^3)","B"
26,1,77,89,0.240989,"\text{Not used}","int(x^4*log(c*(a + b/x)^p),x)","\frac{x^5\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{5}-\frac{b^2\,p\,x^3}{15\,a^2}+\frac{b^3\,p\,x^2}{10\,a^3}+\frac{b^5\,p\,\ln\left(b+a\,x\right)}{5\,a^5}+\frac{b\,p\,x^4}{20\,a}-\frac{b^4\,p\,x}{5\,a^4}","Not used",1,"(x^5*log(c*(a + b/x)^p))/5 - (b^2*p*x^3)/(15*a^2) + (b^3*p*x^2)/(10*a^3) + (b^5*p*log(b + a*x))/(5*a^5) + (b*p*x^4)/(20*a) - (b^4*p*x)/(5*a^4)","B"
27,1,65,75,0.214378,"\text{Not used}","int(x^3*log(c*(a + b/x)^p),x)","\frac{x^4\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{4}-\frac{b^2\,p\,x^2}{8\,a^2}-\frac{b^4\,p\,\ln\left(b+a\,x\right)}{4\,a^4}+\frac{b\,p\,x^3}{12\,a}+\frac{b^3\,p\,x}{4\,a^3}","Not used",1,"(x^4*log(c*(a + b/x)^p))/4 - (b^2*p*x^2)/(8*a^2) - (b^4*p*log(b + a*x))/(4*a^4) + (b*p*x^3)/(12*a) + (b^3*p*x)/(4*a^3)","B"
28,1,53,61,0.228006,"\text{Not used}","int(x^2*log(c*(a + b/x)^p),x)","\frac{x^3\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{3}+\frac{b^3\,p\,\ln\left(b+a\,x\right)}{3\,a^3}+\frac{b\,p\,x^2}{6\,a}-\frac{b^2\,p\,x}{3\,a^2}","Not used",1,"(x^3*log(c*(a + b/x)^p))/3 + (b^3*p*log(b + a*x))/(3*a^3) + (b*p*x^2)/(6*a) - (b^2*p*x)/(3*a^2)","B"
29,1,41,47,0.245632,"\text{Not used}","int(x*log(c*(a + b/x)^p),x)","\frac{x^2\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{2}+\frac{b\,p\,x}{2\,a}-\frac{b^2\,p\,\ln\left(b+a\,x\right)}{2\,a^2}","Not used",1,"(x^2*log(c*(a + b/x)^p))/2 + (b*p*x)/(2*a) - (b^2*p*log(b + a*x))/(2*a^2)","B"
30,1,27,27,0.204785,"\text{Not used}","int(log(c*(a + b/x)^p),x)","x\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)+\frac{b\,p\,\ln\left(b+a\,x\right)}{a}","Not used",1,"x*log(c*(a + b/x)^p) + (b*p*log(b + a*x))/a","B"
31,0,-1,40,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/x,x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/x, x)","F"
32,1,40,30,0.681299,"\text{Not used}","int(log(c*(a + b/x)^p)/x^2,x)","\frac{p}{x}-\frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{x}-\frac{2\,a\,p\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b}","Not used",1,"p/x - log(c*(a + b/x)^p)/x - (2*a*p*atanh((2*a*x)/b + 1))/b","B"
33,1,53,59,0.339771,"\text{Not used}","int(log(c*(a + b/x)^p)/x^3,x)","\frac{\frac{p}{2}-\frac{a\,p\,x}{b}}{2\,x^2}-\frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{2\,x^2}+\frac{a^2\,p\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{b^2}","Not used",1,"(p/2 - (a*p*x)/b)/(2*x^2) - log(c*(a + b/x)^p)/(2*x^2) + (a^2*p*atanh((2*a*x)/b + 1))/b^2","B"
34,1,65,73,0.321313,"\text{Not used}","int(log(c*(a + b/x)^p)/x^4,x)","\frac{\frac{p}{3}+\frac{a^2\,p\,x^2}{b^2}-\frac{a\,p\,x}{2\,b}}{3\,x^3}-\frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{3\,x^3}-\frac{2\,a^3\,p\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{3\,b^3}","Not used",1,"(p/3 + (a^2*p*x^2)/b^2 - (a*p*x)/(2*b))/(3*x^3) - log(c*(a + b/x)^p)/(3*x^3) - (2*a^3*p*atanh((2*a*x)/b + 1))/(3*b^3)","B"
35,1,78,87,0.388052,"\text{Not used}","int(log(c*(a + b/x)^p)/x^5,x)","\frac{\frac{p}{4}+\frac{a^2\,p\,x^2}{2\,b^2}-\frac{a^3\,p\,x^3}{b^3}-\frac{a\,p\,x}{3\,b}}{4\,x^4}-\frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{4\,x^4}+\frac{a^4\,p\,\mathrm{atanh}\left(\frac{2\,a\,x}{b}+1\right)}{2\,b^4}","Not used",1,"(p/4 + (a^2*p*x^2)/(2*b^2) - (a^3*p*x^3)/b^3 - (a*p*x)/(3*b))/(4*x^4) - log(c*(a + b/x)^p)/(4*x^4) + (a^4*p*atanh((2*a*x)/b + 1))/(2*b^4)","B"
36,1,56,72,0.262522,"\text{Not used}","int(x^4*log(c*(a + b/x^2)^p),x)","\frac{x^5\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{5}+\frac{2\,b^{5/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{5\,a^{5/2}}+\frac{2\,b\,p\,x^3}{15\,a}-\frac{2\,b^2\,p\,x}{5\,a^2}","Not used",1,"(x^5*log(c*(a + b/x^2)^p))/5 + (2*b^(5/2)*p*atan((a^(1/2)*x)/b^(1/2)))/(5*a^(5/2)) + (2*b*p*x^3)/(15*a) - (2*b^2*p*x)/(5*a^2)","B"
37,1,45,51,0.244815,"\text{Not used}","int(x^3*log(c*(a + b/x^2)^p),x)","\frac{x^4\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{4}-\frac{b^2\,p\,\ln\left(a\,x^2+b\right)}{4\,a^2}+\frac{b\,p\,x^2}{4\,a}","Not used",1,"(x^4*log(c*(a + b/x^2)^p))/4 - (b^2*p*log(b + a*x^2))/(4*a^2) + (b*p*x^2)/(4*a)","B"
38,1,44,58,0.240769,"\text{Not used}","int(x^2*log(c*(a + b/x^2)^p),x)","\frac{x^3\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{3}-\frac{2\,b^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{3\,a^{3/2}}+\frac{2\,b\,p\,x}{3\,a}","Not used",1,"(x^3*log(c*(a + b/x^2)^p))/3 - (2*b^(3/2)*p*atan((a^(1/2)*x)/b^(1/2)))/(3*a^(3/2)) + (2*b*p*x)/(3*a)","B"
39,1,33,37,0.209275,"\text{Not used}","int(x*log(c*(a + b/x^2)^p),x)","\frac{x^2\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{2}+\frac{b\,p\,\ln\left(a\,x^2+b\right)}{2\,a}","Not used",1,"(x^2*log(c*(a + b/x^2)^p))/2 + (b*p*log(b + a*x^2))/(2*a)","B"
40,1,33,41,0.105968,"\text{Not used}","int(log(c*(a + b/x^2)^p),x)","x\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)+\frac{2\,\sqrt{b}\,p\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{\sqrt{a}}","Not used",1,"x*log(c*(a + b/x^2)^p) + (2*b^(1/2)*p*atan((a^(1/2)*x)/b^(1/2)))/a^(1/2)","B"
41,0,-1,44,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)/x,x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)/x, x)","F"
42,1,42,50,0.241060,"\text{Not used}","int(log(c*(a + b/x^2)^p)/x^2,x)","\frac{2\,p}{x}-\frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{x}+\frac{2\,\sqrt{a}\,p\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{\sqrt{b}}","Not used",1,"(2*p)/x - log(c*(a + b/x^2)^p)/x + (2*a^(1/2)*p*atan((a^(1/2)*x)/b^(1/2)))/b^(1/2)","B"
43,1,47,35,0.236211,"\text{Not used}","int(log(c*(a + b/x^2)^p)/x^3,x)","\frac{p}{2\,x^2}-\frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{2\,x^2}-\frac{a\,p\,\ln\left(a\,x^2+b\right)}{2\,b}+\frac{a\,p\,\ln\left(x\right)}{b}","Not used",1,"p/(2*x^2) - log(c*(a + b/x^2)^p)/(2*x^2) - (a*p*log(b + a*x^2))/(2*b) + (a*p*log(x))/b","B"
44,1,55,68,0.253671,"\text{Not used}","int(log(c*(a + b/x^2)^p)/x^4,x)","\frac{\frac{2\,p}{3}-\frac{2\,a\,p\,x^2}{b}}{3\,x^3}-\frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{3\,x^3}-\frac{2\,a^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{a}\,x}{\sqrt{b}}\right)}{3\,b^{3/2}}","Not used",1,"((2*p)/3 - (2*a*p*x^2)/b)/(3*x^3) - log(c*(a + b/x^2)^p)/(3*x^3) - (2*a^(3/2)*p*atan((a^(1/2)*x)/b^(1/2)))/(3*b^(3/2))","B"
45,1,8,8,0.257395,"\text{Not used}","int(log(b/x + 1)/x,x)","\mathrm{polylog}\left(2,-\frac{b}{x}\right)","Not used",1,"polylog(2, -b/x)","B"
46,1,121,153,0.333581,"\text{Not used}","int(x^3*log(c*(a + b*x^(1/2))^p),x)","\frac{x^4\,\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{4}-\frac{p\,x^4}{32}-\frac{a^8\,p\,\ln\left(a+b\,\sqrt{x}\right)}{4\,b^8}-\frac{a^2\,p\,x^3}{24\,b^2}-\frac{a^4\,p\,x^2}{16\,b^4}+\frac{a^3\,p\,x^{5/2}}{20\,b^3}+\frac{a^5\,p\,x^{3/2}}{12\,b^5}+\frac{a^7\,p\,\sqrt{x}}{4\,b^7}+\frac{a\,p\,x^{7/2}}{28\,b}-\frac{a^6\,p\,x}{8\,b^6}","Not used",1,"(x^4*log(c*(a + b*x^(1/2))^p))/4 - (p*x^4)/32 - (a^8*p*log(a + b*x^(1/2)))/(4*b^8) - (a^2*p*x^3)/(24*b^2) - (a^4*p*x^2)/(16*b^4) + (a^3*p*x^(5/2))/(20*b^3) + (a^5*p*x^(3/2))/(12*b^5) + (a^7*p*x^(1/2))/(4*b^7) + (a*p*x^(7/2))/(28*b) - (a^6*p*x)/(8*b^6)","B"
47,1,97,123,0.276900,"\text{Not used}","int(x^2*log(c*(a + b*x^(1/2))^p),x)","\frac{x^3\,\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{3}-\frac{p\,x^3}{18}-\frac{a^6\,p\,\ln\left(a+b\,\sqrt{x}\right)}{3\,b^6}-\frac{a^2\,p\,x^2}{12\,b^2}+\frac{a^3\,p\,x^{3/2}}{9\,b^3}+\frac{a^5\,p\,\sqrt{x}}{3\,b^5}+\frac{a\,p\,x^{5/2}}{15\,b}-\frac{a^4\,p\,x}{6\,b^4}","Not used",1,"(x^3*log(c*(a + b*x^(1/2))^p))/3 - (p*x^3)/18 - (a^6*p*log(a + b*x^(1/2)))/(3*b^6) - (a^2*p*x^2)/(12*b^2) + (a^3*p*x^(3/2))/(9*b^3) + (a^5*p*x^(1/2))/(3*b^5) + (a*p*x^(5/2))/(15*b) - (a^4*p*x)/(6*b^4)","B"
48,1,73,93,0.267385,"\text{Not used}","int(x*log(c*(a + b*x^(1/2))^p),x)","\frac{x^2\,\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{2}-\frac{p\,x^2}{8}-\frac{a^4\,p\,\ln\left(a+b\,\sqrt{x}\right)}{2\,b^4}+\frac{a^3\,p\,\sqrt{x}}{2\,b^3}-\frac{a^2\,p\,x}{4\,b^2}+\frac{a\,p\,x^{3/2}}{6\,b}","Not used",1,"(x^2*log(c*(a + b*x^(1/2))^p))/2 - (p*x^2)/8 - (a^4*p*log(a + b*x^(1/2)))/(2*b^4) + (a^3*p*x^(1/2))/(2*b^3) - (a^2*p*x)/(4*b^2) + (a*p*x^(3/2))/(6*b)","B"
49,1,47,53,0.124476,"\text{Not used}","int(log(c*(a + b*x^(1/2))^p),x)","x\,\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)-\frac{p\,\left(b^2\,x+2\,a^2\,\ln\left(a+b\,\sqrt{x}\right)-2\,a\,b\,\sqrt{x}\right)}{2\,b^2}","Not used",1,"x*log(c*(a + b*x^(1/2))^p) - (p*(b^2*x + 2*a^2*log(a + b*x^(1/2)) - 2*a*b*x^(1/2)))/(2*b^2)","B"
50,0,-1,46,0.000000,"\text{Not used}","int(log(c*(a + b*x^(1/2))^p)/x,x)","\int \frac{\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(a + b*x^(1/2))^p)/x, x)","F"
51,1,49,63,0.660102,"\text{Not used}","int(log(c*(a + b*x^(1/2))^p)/x^2,x)","\frac{2\,b^2\,p\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^2}-\frac{\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{x}-\frac{b\,p}{a\,\sqrt{x}}","Not used",1,"(2*b^2*p*atanh((2*b*x^(1/2))/a + 1))/a^2 - log(c*(a + b*x^(1/2))^p)/x - (b*p)/(a*x^(1/2))","B"
52,1,72,100,0.459615,"\text{Not used}","int(log(c*(a + b*x^(1/2))^p)/x^3,x)","\frac{b^4\,p\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{a^4}-\frac{\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{2\,x^2}-\frac{\frac{b\,p}{3\,a}-\frac{b^2\,p\,\sqrt{x}}{2\,a^2}+\frac{b^3\,p\,x}{a^3}}{2\,x^{3/2}}","Not used",1,"(b^4*p*atanh((2*b*x^(1/2))/a + 1))/a^4 - log(c*(a + b*x^(1/2))^p)/(2*x^2) - ((b*p)/(3*a) - (b^2*p*x^(1/2))/(2*a^2) + (b^3*p*x)/a^3)/(2*x^(3/2))","B"
53,1,97,130,0.562586,"\text{Not used}","int(log(c*(a + b*x^(1/2))^p)/x^4,x)","\frac{2\,b^6\,p\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{x}}{a}+1\right)}{3\,a^6}-\frac{\frac{b\,p}{5\,a}-\frac{b^2\,p\,\sqrt{x}}{4\,a^2}+\frac{b^5\,p\,x^2}{a^5}-\frac{b^4\,p\,x^{3/2}}{2\,a^4}+\frac{b^3\,p\,x}{3\,a^3}}{3\,x^{5/2}}-\frac{\ln\left(c\,{\left(a+b\,\sqrt{x}\right)}^p\right)}{3\,x^3}","Not used",1,"(2*b^6*p*atanh((2*b*x^(1/2))/a + 1))/(3*a^6) - ((b*p)/(5*a) - (b^2*p*x^(1/2))/(4*a^2) + (b^5*p*x^2)/a^5 - (b^4*p*x^(3/2))/(2*a^4) + (b^3*p*x)/(3*a^3))/(3*x^(5/2)) - log(c*(a + b*x^(1/2))^p)/(3*x^3)","B"
54,1,33,32,0.276095,"\text{Not used}","int(log(a + b*x^(1/2))/x^(1/2),x)","2\,\sqrt{x}\,\ln\left(a+b\,\sqrt{x}\right)-2\,\sqrt{x}+\frac{2\,a\,\ln\left(a+b\,\sqrt{x}\right)}{b}","Not used",1,"2*x^(1/2)*log(a + b*x^(1/2)) - 2*x^(1/2) + (2*a*log(a + b*x^(1/2)))/b","B"
55,0,-1,81,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(e\,x^3+d\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)*(f*x)^m, x)","F"
56,0,-1,81,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)*(f*x)^m, x)","F"
57,0,-1,69,0.000000,"\text{Not used}","int(log(c*(d + e*x)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+e\,x\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x)^p)*(f*x)^m, x)","F"
58,0,-1,67,0.000000,"\text{Not used}","int(log(c*(d + e/x)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+\frac{e}{x}\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e/x)^p)*(f*x)^m, x)","F"
59,0,-1,82,0.000000,"\text{Not used}","int(log(c*(d + e/x^2)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+\frac{e}{x^2}\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e/x^2)^p)*(f*x)^m, x)","F"
60,0,-1,85,0.000000,"\text{Not used}","int(log(c*(d + e/x^3)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+\frac{e}{x^3}\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e/x^3)^p)*(f*x)^m, x)","F"
61,0,-1,83,0.000000,"\text{Not used}","int(log(c*(d + e*x^(1/2))^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x^(1/2))^p)*(f*x)^m, x)","F"
62,0,-1,70,0.000000,"\text{Not used}","int(log(c*(d + e/x^(1/2))^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e/x^(1/2))^p)*(f*x)^m, x)","F"
63,0,-1,87,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f*x)^m, x)","F"
64,0,-1,141,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f*x)^(3*n - 1),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f\,x\right)}^{3\,n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f*x)^(3*n - 1), x)","F"
65,0,-1,112,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f*x)^(2*n - 1),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f\,x\right)}^{2\,n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f*x)^(2*n - 1), x)","F"
66,0,-1,69,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f*x)^(n - 1),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f\,x\right)}^{n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f*x)^(n - 1), x)","F"
67,0,-1,50,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f*x),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{f\,x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(f*x), x)","F"
68,0,-1,80,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f*x)^(n + 1),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{{\left(f\,x\right)}^{n+1}} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(f*x)^(n + 1), x)","F"
69,0,-1,120,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f*x)^(2*n + 1),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{{\left(f\,x\right)}^{2\,n+1}} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(f*x)^(2*n + 1), x)","F"
70,0,-1,65,0.000000,"\text{Not used}","int(x^2*log(c*(d + e*x^n)^p),x)","\int x^2\,\ln\left(c\,{\left(d+e\,x^n\right)}^p\right) \,d x","Not used",1,"int(x^2*log(c*(d + e*x^n)^p), x)","F"
71,0,-1,65,0.000000,"\text{Not used}","int(x*log(c*(d + e*x^n)^p),x)","\int x\,\ln\left(c\,{\left(d+e\,x^n\right)}^p\right) \,d x","Not used",1,"int(x*log(c*(d + e*x^n)^p), x)","F"
72,0,-1,54,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right) \,d x","Not used",1,"int(log(c*(d + e*x^n)^p), x)","F"
73,0,-1,44,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/x, x)","F"
74,0,-1,66,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/x^2,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x^2} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/x^2, x)","F"
75,0,-1,72,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/x^3,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x^3} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/x^3, x)","F"
76,0,-1,70,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/x^4,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x^4} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/x^4, x)","F"
77,1,126,215,0.307982,"\text{Not used}","int(x^5*log(c*(a + b*x^2)^p)^2,x)","\frac{p^2\,x^6}{27}+{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{x^6}{6}+\frac{a^3}{6\,b^3}\right)-\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)\,\left(\frac{p\,x^6}{9}+\frac{a^2\,p\,x^2}{3\,b^2}-\frac{a\,p\,x^4}{6\,b}\right)-\frac{5\,a\,p^2\,x^4}{36\,b}-\frac{11\,a^3\,p^2\,\ln\left(b\,x^2+a\right)}{18\,b^3}+\frac{11\,a^2\,p^2\,x^2}{18\,b^2}","Not used",1,"(p^2*x^6)/27 + log(c*(a + b*x^2)^p)^2*(x^6/6 + a^3/(6*b^3)) - log(c*(a + b*x^2)^p)*((p*x^6)/9 + (a^2*p*x^2)/(3*b^2) - (a*p*x^4)/(6*b)) - (5*a*p^2*x^4)/(36*b) - (11*a^3*p^2*log(a + b*x^2))/(18*b^3) + (11*a^2*p^2*x^2)/(18*b^2)","B"
78,1,100,145,0.258612,"\text{Not used}","int(x^3*log(c*(a + b*x^2)^p)^2,x)","\frac{p^2\,x^4}{8}-\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)\,\left(\frac{p\,x^4}{4}-\frac{a\,p\,x^2}{2\,b}\right)+{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{x^4}{4}-\frac{a^2}{4\,b^2}\right)-\frac{3\,a\,p^2\,x^2}{4\,b}+\frac{3\,a^2\,p^2\,\ln\left(b\,x^2+a\right)}{4\,b^2}","Not used",1,"(p^2*x^4)/8 - log(c*(a + b*x^2)^p)*((p*x^4)/4 - (a*p*x^2)/(2*b)) + log(c*(a + b*x^2)^p)^2*(x^4/4 - a^2/(4*b^2)) - (3*a*p^2*x^2)/(4*b) + (3*a^2*p^2*log(a + b*x^2))/(4*b^2)","B"
79,1,70,61,0.229424,"\text{Not used}","int(x*log(c*(a + b*x^2)^p)^2,x)","p^2\,x^2+{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{a}{2\,b}+\frac{x^2}{2}\right)-p\,x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-\frac{a\,p^2\,\ln\left(b\,x^2+a\right)}{b}","Not used",1,"p^2*x^2 + log(c*(a + b*x^2)^p)^2*(a/(2*b) + x^2/2) - p*x^2*log(c*(a + b*x^2)^p) - (a*p^2*log(a + b*x^2))/b","B"
80,0,-1,72,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x, x)","F"
81,0,-1,80,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^3,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^3} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^3, x)","F"
82,0,-1,129,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^5,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^5} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^5, x)","F"
83,0,-1,193,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^7,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^7} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^7, x)","F"
84,0,-1,336,0.000000,"\text{Not used}","int(x^4*log(c*(a + b*x^2)^p)^2,x)","\int x^4\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2 \,d x","Not used",1,"int(x^4*log(c*(a + b*x^2)^p)^2, x)","F"
85,0,-1,294,0.000000,"\text{Not used}","int(x^2*log(c*(a + b*x^2)^p)^2,x)","\int x^2\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2 \,d x","Not used",1,"int(x^2*log(c*(a + b*x^2)^p)^2, x)","F"
86,0,-1,237,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2,x)","\int {\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2 \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2, x)","F"
87,0,-1,190,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^2,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^2} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^2, x)","F"
88,0,-1,254,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^4,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^4} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^4, x)","F"
89,0,-1,296,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^6,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^6} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^6, x)","F"
90,0,-1,338,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^2/x^8,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2}{x^8} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^2/x^8, x)","F"
91,1,187,334,0.356315,"\text{Not used}","int(x^5*log(c*(a + b*x^2)^p)^3,x)","{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3\,\left(\frac{x^6}{6}+\frac{a^3}{6\,b^3}\right)-{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{p\,x^6}{6}+\frac{11\,a^3\,p}{12\,b^3}+\frac{a^2\,p\,x^2}{2\,b^2}-\frac{a\,p\,x^4}{4\,b}\right)-\frac{p^3\,x^6}{27}+\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)\,\left(\frac{b\,p^2\,x^6}{3}-\frac{5\,a\,p^2\,x^4}{4}+\frac{11\,a^2\,p^2\,x^2}{2\,b}\right)}{3\,b}+\frac{19\,a\,p^3\,x^4}{72\,b}+\frac{85\,a^3\,p^3\,\ln\left(b\,x^2+a\right)}{36\,b^3}-\frac{85\,a^2\,p^3\,x^2}{36\,b^2}","Not used",1,"log(c*(a + b*x^2)^p)^3*(x^6/6 + a^3/(6*b^3)) - log(c*(a + b*x^2)^p)^2*((p*x^6)/6 + (11*a^3*p)/(12*b^3) + (a^2*p*x^2)/(2*b^2) - (a*p*x^4)/(4*b)) - (p^3*x^6)/27 + (log(c*(a + b*x^2)^p)*((b*p^2*x^6)/3 - (5*a*p^2*x^4)/4 + (11*a^2*p^2*x^2)/(2*b)))/(3*b) + (19*a*p^3*x^4)/(72*b) + (85*a^3*p^3*log(a + b*x^2))/(36*b^3) - (85*a^2*p^3*x^2)/(36*b^2)","B"
92,1,144,211,0.304941,"\text{Not used}","int(x^3*log(c*(a + b*x^2)^p)^3,x)","{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{9\,a^2\,p}{8\,b^2}-\frac{3\,p\,x^4}{8}+\frac{3\,a\,p\,x^2}{4\,b}\right)-\frac{3\,p^3\,x^4}{16}+\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)\,\left(\frac{3\,p^2\,x^4}{8}-\frac{9\,a\,p^2\,x^2}{4\,b}\right)+{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3\,\left(\frac{x^4}{4}-\frac{a^2}{4\,b^2}\right)+\frac{21\,a\,p^3\,x^2}{8\,b}-\frac{21\,a^2\,p^3\,\ln\left(b\,x^2+a\right)}{8\,b^2}","Not used",1,"log(c*(a + b*x^2)^p)^2*((9*a^2*p)/(8*b^2) - (3*p*x^4)/8 + (3*a*p*x^2)/(4*b)) - (3*p^3*x^4)/16 + log(c*(a + b*x^2)^p)*((3*p^2*x^4)/8 - (9*a*p^2*x^2)/(4*b)) + log(c*(a + b*x^2)^p)^3*(x^4/4 - a^2/(4*b^2)) + (21*a*p^3*x^2)/(8*b) - (21*a^2*p^3*log(a + b*x^2))/(8*b^2)","B"
93,1,103,93,0.239554,"\text{Not used}","int(x*log(c*(a + b*x^2)^p)^3,x)","{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3\,\left(\frac{a}{2\,b}+\frac{x^2}{2}\right)-{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2\,\left(\frac{3\,p\,x^2}{2}+\frac{3\,a\,p}{2\,b}\right)-3\,p^3\,x^2+3\,p^2\,x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)+\frac{3\,a\,p^3\,\ln\left(b\,x^2+a\right)}{b}","Not used",1,"log(c*(a + b*x^2)^p)^3*(a/(2*b) + x^2/2) - log(c*(a + b*x^2)^p)^2*((3*p*x^2)/2 + (3*a*p)/(2*b)) - 3*p^3*x^2 + 3*p^2*x^2*log(c*(a + b*x^2)^p) + (3*a*p^3*log(a + b*x^2))/b","B"
94,0,-1,106,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^3/x, x)","F"
95,0,-1,119,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x^3,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x^3} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^3/x^3, x)","F"
96,0,-1,219,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x^5,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x^5} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^3/x^5, x)","F"
97,0,-1,352,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x^7,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x^7} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)^3/x^7, x)","F"
98,0,-1,380,0.000000,"\text{Not used}","int(x^2*log(c*(a + b*x^2)^p)^3,x)","\int x^2\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3 \,d x","Not used",0,"int(x^2*log(c*(a + b*x^2)^p)^3, x)","F"
99,0,-1,290,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3,x)","\int {\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3 \,d x","Not used",0,"int(log(c*(a + b*x^2)^p)^3, x)","F"
100,0,-1,51,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x^2,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x^2} \,d x","Not used",0,"int(log(c*(a + b*x^2)^p)^3/x^2, x)","F"
101,0,-1,254,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)^3/x^4,x)","\int \frac{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3}{x^4} \,d x","Not used",0,"int(log(c*(a + b*x^2)^p)^3/x^4, x)","F"
102,0,-1,107,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2)^p),x)","\int \frac{x^3}{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2)^p), x)","F"
103,0,-1,51,0.000000,"\text{Not used}","int(x/log(c*(a + b*x^2)^p),x)","\int \frac{x}{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",1,"int(x/log(c*(a + b*x^2)^p), x)","F"
104,0,-1,21,0.000000,"\text{Not used}","int(1/(x*log(c*(a + b*x^2)^p)),x)","\int \frac{1}{x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",0,"int(1/(x*log(c*(a + b*x^2)^p)), x)","F"
105,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*log(c*(a + b*x^2)^p)),x)","\int \frac{1}{x^3\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",0,"int(1/(x^3*log(c*(a + b*x^2)^p)), x)","F"
106,0,-1,21,0.000000,"\text{Not used}","int(x^2/log(c*(a + b*x^2)^p),x)","\int \frac{x^2}{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",0,"int(x^2/log(c*(a + b*x^2)^p), x)","F"
107,0,-1,17,0.000000,"\text{Not used}","int(1/log(c*(a + b*x^2)^p),x)","\int \frac{1}{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",0,"int(1/log(c*(a + b*x^2)^p), x)","F"
108,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*log(c*(a + b*x^2)^p)),x)","\int \frac{1}{x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)} \,d x","Not used",0,"int(1/(x^2*log(c*(a + b*x^2)^p)), x)","F"
109,0,-1,138,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2)^p)^2,x)","\int \frac{x^3}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2)^p)^2, x)","F"
110,0,-1,83,0.000000,"\text{Not used}","int(x/log(c*(a + b*x^2)^p)^2,x)","\int \frac{x}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",1,"int(x/log(c*(a + b*x^2)^p)^2, x)","F"
111,0,-1,21,0.000000,"\text{Not used}","int(1/(x*log(c*(a + b*x^2)^p)^2),x)","\int \frac{1}{x\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x*log(c*(a + b*x^2)^p)^2), x)","F"
112,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*log(c*(a + b*x^2)^p)^2),x)","\int \frac{1}{x^3\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x^3*log(c*(a + b*x^2)^p)^2), x)","F"
113,0,-1,21,0.000000,"\text{Not used}","int(x^2/log(c*(a + b*x^2)^p)^2,x)","\int \frac{x^2}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",0,"int(x^2/log(c*(a + b*x^2)^p)^2, x)","F"
114,0,-1,17,0.000000,"\text{Not used}","int(1/log(c*(a + b*x^2)^p)^2,x)","\int \frac{1}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",0,"int(1/log(c*(a + b*x^2)^p)^2, x)","F"
115,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*log(c*(a + b*x^2)^p)^2),x)","\int \frac{1}{x^2\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x^2*log(c*(a + b*x^2)^p)^2), x)","F"
116,0,-1,204,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2)^p)^3,x)","\int \frac{x^3}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2)^p)^3, x)","F"
117,0,-1,114,0.000000,"\text{Not used}","int(x/log(c*(a + b*x^2)^p)^3,x)","\int \frac{x}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",1,"int(x/log(c*(a + b*x^2)^p)^3, x)","F"
118,0,-1,21,0.000000,"\text{Not used}","int(1/(x*log(c*(a + b*x^2)^p)^3),x)","\int \frac{1}{x\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",0,"int(1/(x*log(c*(a + b*x^2)^p)^3), x)","F"
119,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*log(c*(a + b*x^2)^p)^3),x)","\int \frac{1}{x^3\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",0,"int(1/(x^3*log(c*(a + b*x^2)^p)^3), x)","F"
120,0,-1,21,0.000000,"\text{Not used}","int(x^2/log(c*(a + b*x^2)^p)^3,x)","\int \frac{x^2}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",0,"int(x^2/log(c*(a + b*x^2)^p)^3, x)","F"
121,0,-1,17,0.000000,"\text{Not used}","int(1/log(c*(a + b*x^2)^p)^3,x)","\int \frac{1}{{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",0,"int(1/log(c*(a + b*x^2)^p)^3, x)","F"
122,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*log(c*(a + b*x^2)^p)^3),x)","\int \frac{1}{x^2\,{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}^3} \,d x","Not used",0,"int(1/(x^2*log(c*(a + b*x^2)^p)^3), x)","F"
123,0,-1,45,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2)),x)","\int \frac{x^3}{\ln\left(c\,\left(b\,x^2+a\right)\right)} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2)), x)","F"
124,1,18,20,0.348187,"\text{Not used}","int(x/log(c*(a + b*x^2)),x)","\frac{\mathrm{logint}\left(c\,\left(b\,x^2+a\right)\right)}{2\,b\,c}","Not used",1,"logint(c*(a + b*x^2))/(2*b*c)","B"
125,0,-1,71,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2))^2,x)","\int \frac{x^3}{{\ln\left(c\,\left(b\,x^2+a\right)\right)}^2} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2))^2, x)","F"
126,1,46,47,0.359002,"\text{Not used}","int(x/log(c*(a + b*x^2))^2,x)","\frac{\mathrm{logint}\left(c\,\left(b\,x^2+a\right)\right)}{2\,b\,c}-\frac{\frac{b\,x^2}{2}+\frac{a}{2}}{b\,\ln\left(c\,\left(b\,x^2+a\right)\right)}","Not used",1,"logint(c*(a + b*x^2))/(2*b*c) - (a/2 + (b*x^2)/2)/(b*log(c*(a + b*x^2)))","B"
127,0,-1,127,0.000000,"\text{Not used}","int(x^3/log(c*(a + b*x^2))^3,x)","\int \frac{x^3}{{\ln\left(c\,\left(b\,x^2+a\right)\right)}^3} \,d x","Not used",1,"int(x^3/log(c*(a + b*x^2))^3, x)","F"
128,1,74,73,0.450920,"\text{Not used}","int(x/log(c*(a + b*x^2))^3,x)","\frac{\mathrm{logint}\left(c\,\left(b\,x^2+a\right)\right)}{4\,b\,c}-\frac{\frac{a\,c}{4}+\ln\left(c\,\left(b\,x^2+a\right)\right)\,\left(\frac{b\,c\,x^2}{4}+\frac{a\,c}{4}\right)+\frac{b\,c\,x^2}{4}}{b\,c\,{\ln\left(c\,\left(b\,x^2+a\right)\right)}^2}","Not used",1,"logint(c*(a + b*x^2))/(4*b*c) - ((a*c)/4 + log(c*(a + b*x^2))*((a*c)/4 + (b*c*x^2)/4) + (b*c*x^2)/4)/(b*c*log(c*(a + b*x^2))^2)","B"
129,1,100,150,0.275254,"\text{Not used}","int(x^5*log(c*(d + e*x^3)^p)^2,x)","\frac{p^2\,x^6}{12}-\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)\,\left(\frac{p\,x^6}{6}-\frac{d\,p\,x^3}{3\,e}\right)+{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2\,\left(\frac{x^6}{6}-\frac{d^2}{6\,e^2}\right)-\frac{d\,p^2\,x^3}{2\,e}+\frac{d^2\,p^2\,\ln\left(e\,x^3+d\right)}{2\,e^2}","Not used",1,"(p^2*x^6)/12 - log(c*(d + e*x^3)^p)*((p*x^6)/6 - (d*p*x^3)/(3*e)) + log(c*(d + e*x^3)^p)^2*(x^6/6 - d^2/(6*e^2)) - (d*p^2*x^3)/(2*e) + (d^2*p^2*log(d + e*x^3))/(2*e^2)","B"
130,1,71,66,0.231613,"\text{Not used}","int(x^2*log(c*(d + e*x^3)^p)^2,x)","\frac{2\,p^2\,x^3}{3}+{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2\,\left(\frac{d}{3\,e}+\frac{x^3}{3}\right)-\frac{2\,p\,x^3\,\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}{3}-\frac{2\,d\,p^2\,\ln\left(e\,x^3+d\right)}{3\,e}","Not used",1,"(2*p^2*x^3)/3 + log(c*(d + e*x^3)^p)^2*(d/(3*e) + x^3/3) - (2*p*x^3*log(c*(d + e*x^3)^p))/3 - (2*d*p^2*log(d + e*x^3))/(3*e)","B"
131,0,-1,77,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2/x,x)","\int \frac{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2}{x} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2/x, x)","F"
132,0,-1,86,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2/x^4,x)","\int \frac{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2}{x^4} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2/x^4, x)","F"
133,0,-1,1294,0.000000,"\text{Not used}","int(x*log(c*(d + e*x^3)^p)^2,x)","\int x\,{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2 \,d x","Not used",1,"int(x*log(c*(d + e*x^3)^p)^2, x)","F"
134,0,-1,1304,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2,x)","\int {\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2 \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2, x)","F"
135,0,-1,1137,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2/x^2,x)","\int \frac{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2}{x^2} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2/x^2, x)","F"
136,0,-1,1170,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2/x^3,x)","\int \frac{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2}{x^3} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2/x^3, x)","F"
137,0,-1,1328,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)^2/x^5,x)","\int \frac{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2}{x^5} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)^2/x^5, x)","F"
138,0,-1,164,0.000000,"\text{Not used}","int(x^8/log(c*(d + e*x^3)^p),x)","\int \frac{x^8}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",1,"int(x^8/log(c*(d + e*x^3)^p), x)","F"
139,0,-1,107,0.000000,"\text{Not used}","int(x^5/log(c*(d + e*x^3)^p),x)","\int \frac{x^5}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",1,"int(x^5/log(c*(d + e*x^3)^p), x)","F"
140,0,-1,51,0.000000,"\text{Not used}","int(x^2/log(c*(d + e*x^3)^p),x)","\int \frac{x^2}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",1,"int(x^2/log(c*(d + e*x^3)^p), x)","F"
141,0,-1,21,0.000000,"\text{Not used}","int(1/(x*log(c*(d + e*x^3)^p)),x)","\int \frac{1}{x\,\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(1/(x*log(c*(d + e*x^3)^p)), x)","F"
142,0,-1,21,0.000000,"\text{Not used}","int(1/(x^4*log(c*(d + e*x^3)^p)),x)","\int \frac{1}{x^4\,\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(1/(x^4*log(c*(d + e*x^3)^p)), x)","F"
143,0,-1,21,0.000000,"\text{Not used}","int(x^3/log(c*(d + e*x^3)^p),x)","\int \frac{x^3}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(x^3/log(c*(d + e*x^3)^p), x)","F"
144,0,-1,19,0.000000,"\text{Not used}","int(x/log(c*(d + e*x^3)^p),x)","\int \frac{x}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(x/log(c*(d + e*x^3)^p), x)","F"
145,0,-1,17,0.000000,"\text{Not used}","int(1/log(c*(d + e*x^3)^p),x)","\int \frac{1}{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(1/log(c*(d + e*x^3)^p), x)","F"
146,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*log(c*(d + e*x^3)^p)),x)","\int \frac{1}{x^2\,\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(1/(x^2*log(c*(d + e*x^3)^p)), x)","F"
147,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*log(c*(d + e*x^3)^p)),x)","\int \frac{1}{x^3\,\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)} \,d x","Not used",0,"int(1/(x^3*log(c*(d + e*x^3)^p)), x)","F"
148,0,-1,195,0.000000,"\text{Not used}","int(x^8/log(c*(d + e*x^3)^p)^2,x)","\int \frac{x^8}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",1,"int(x^8/log(c*(d + e*x^3)^p)^2, x)","F"
149,0,-1,141,0.000000,"\text{Not used}","int(x^5/log(c*(d + e*x^3)^p)^2,x)","\int \frac{x^5}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",1,"int(x^5/log(c*(d + e*x^3)^p)^2, x)","F"
150,0,-1,83,0.000000,"\text{Not used}","int(x^2/log(c*(d + e*x^3)^p)^2,x)","\int \frac{x^2}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",1,"int(x^2/log(c*(d + e*x^3)^p)^2, x)","F"
151,0,-1,21,0.000000,"\text{Not used}","int(1/(x*log(c*(d + e*x^3)^p)^2),x)","\int \frac{1}{x\,{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x*log(c*(d + e*x^3)^p)^2), x)","F"
152,0,-1,21,0.000000,"\text{Not used}","int(1/(x^4*log(c*(d + e*x^3)^p)^2),x)","\int \frac{1}{x^4\,{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x^4*log(c*(d + e*x^3)^p)^2), x)","F"
153,0,-1,21,0.000000,"\text{Not used}","int(x^3/log(c*(d + e*x^3)^p)^2,x)","\int \frac{x^3}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(x^3/log(c*(d + e*x^3)^p)^2, x)","F"
154,0,-1,19,0.000000,"\text{Not used}","int(x/log(c*(d + e*x^3)^p)^2,x)","\int \frac{x}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(x/log(c*(d + e*x^3)^p)^2, x)","F"
155,0,-1,17,0.000000,"\text{Not used}","int(1/log(c*(d + e*x^3)^p)^2,x)","\int \frac{1}{{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(1/log(c*(d + e*x^3)^p)^2, x)","F"
156,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*log(c*(d + e*x^3)^p)^2),x)","\int \frac{1}{x^2\,{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x^2*log(c*(d + e*x^3)^p)^2), x)","F"
157,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*log(c*(d + e*x^3)^p)^2),x)","\int \frac{1}{x^3\,{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}^2} \,d x","Not used",0,"int(1/(x^3*log(c*(d + e*x^3)^p)^2), x)","F"
158,0,-1,77,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3*(f*x)^m,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3\,{\left(f\,x\right)}^m \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3*(f*x)^m, x)","F"
159,0,-1,75,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f*x)^m,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(f\,x\right)}^m \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^2*(f*x)^m, x)","F"
160,0,-1,81,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f*x)^m,x)","\int \ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(f\,x\right)}^m \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)*(f*x)^m, x)","F"
161,0,-1,23,0.000000,"\text{Not used}","int((f*x)^m/log(c*(d + e*x^2)^p),x)","\int \frac{{\left(f\,x\right)}^m}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)} \,d x","Not used",0,"int((f*x)^m/log(c*(d + e*x^2)^p), x)","F"
162,0,-1,23,0.000000,"\text{Not used}","int((f*x)^m/log(c*(d + e*x^2)^p)^2,x)","\int \frac{{\left(f\,x\right)}^m}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2} \,d x","Not used",0,"int((f*x)^m/log(c*(d + e*x^2)^p)^2, x)","F"
163,0,-1,372,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2*(f*x)^(3*n - 1),x)","\int {\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2\,{\left(f\,x\right)}^{3\,n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2*(f*x)^(3*n - 1), x)","F"
164,0,-1,255,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2*(f*x)^(2*n - 1),x)","\int {\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2\,{\left(f\,x\right)}^{2\,n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2*(f*x)^(2*n - 1), x)","F"
165,0,-1,101,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2*(f*x)^(n - 1),x)","\int {\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2\,{\left(f\,x\right)}^{n-1} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2*(f*x)^(n - 1), x)","F"
166,0,-1,88,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2/(f*x),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2}{f\,x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2/(f*x), x)","F"
167,0,-1,124,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2/(f*x)^(n + 1),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2}{{\left(f\,x\right)}^{n+1}} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2/(f*x)^(n + 1), x)","F"
168,0,-1,200,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2/(f*x)^(2*n + 1),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2}{{\left(f\,x\right)}^{2\,n+1}} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2/(f*x)^(2*n + 1), x)","F"
169,0,-1,13,0.000000,"\text{Not used}","int(log(e*x^n + 1)/x,x)","\int \frac{\ln\left(e\,x^n+1\right)}{x} \,d x","Not used",1,"int(log(e*x^n + 1)/x, x)","F"
170,0,-1,21,0.000000,"\text{Not used}","int(log(e*x^n + 2)/x,x)","\int \frac{\ln\left(e\,x^n+2\right)}{x} \,d x","Not used",1,"int(log(e*x^n + 2)/x, x)","F"
171,0,-1,21,0.000000,"\text{Not used}","int(log(2*e*x^n + 6)/x,x)","\int \frac{\ln\left(2\,e\,x^n+6\right)}{x} \,d x","Not used",1,"int(log(2*e*x^n + 6)/x, x)","F"
172,0,-1,41,0.000000,"\text{Not used}","int(log(c*(d + e*x^n))/x,x)","\int \frac{\ln\left(c\,\left(d+e\,x^n\right)\right)}{x} \,d x","Not used",1,"int(log(c*(d + e*x^n))/x, x)","F"
173,0,-1,44,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/x, x)","F"
174,0,-1,79,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^2/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^2}{x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^2/x, x)","F"
175,0,-1,113,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^3/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^3}{x} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)^3/x, x)","F"
176,1,208,140,0.313880,"\text{Not used}","int(log(c*(a + b*x)^p)*(d + e*x)^3,x)","\ln\left(c\,{\left(a+b\,x\right)}^p\right)\,\left(d^3\,x+\frac{3\,d^2\,e\,x^2}{2}+d\,e^2\,x^3+\frac{e^3\,x^4}{4}\right)+x^2\,\left(\frac{a\,\left(d\,e^2\,p-\frac{a\,e^3\,p}{4\,b}\right)}{2\,b}-\frac{3\,d^2\,e\,p}{4}\right)-x\,\left(d^3\,p+\frac{a\,\left(\frac{a\,\left(d\,e^2\,p-\frac{a\,e^3\,p}{4\,b}\right)}{b}-\frac{3\,d^2\,e\,p}{2}\right)}{b}\right)-x^3\,\left(\frac{d\,e^2\,p}{3}-\frac{a\,e^3\,p}{12\,b}\right)-\frac{e^3\,p\,x^4}{16}-\frac{\ln\left(a+b\,x\right)\,\left(p\,a^4\,e^3-4\,p\,a^3\,b\,d\,e^2+6\,p\,a^2\,b^2\,d^2\,e-4\,p\,a\,b^3\,d^3\right)}{4\,b^4}","Not used",1,"log(c*(a + b*x)^p)*(d^3*x + (e^3*x^4)/4 + (3*d^2*e*x^2)/2 + d*e^2*x^3) + x^2*((a*(d*e^2*p - (a*e^3*p)/(4*b)))/(2*b) - (3*d^2*e*p)/4) - x*(d^3*p + (a*((a*(d*e^2*p - (a*e^3*p)/(4*b)))/b - (3*d^2*e*p)/2))/b) - x^3*((d*e^2*p)/3 - (a*e^3*p)/(12*b)) - (e^3*p*x^4)/16 - (log(a + b*x)*(a^4*e^3*p - 4*a*b^3*d^3*p - 4*a^3*b*d*e^2*p + 6*a^2*b^2*d^2*e*p))/(4*b^4)","B"
177,1,131,112,0.266694,"\text{Not used}","int(log(c*(a + b*x)^p)*(d + e*x)^2,x)","\ln\left(c\,{\left(a+b\,x\right)}^p\right)\,\left(d^2\,x+d\,e\,x^2+\frac{e^2\,x^3}{3}\right)-x^2\,\left(\frac{d\,e\,p}{2}-\frac{a\,e^2\,p}{6\,b}\right)-x\,\left(d^2\,p-\frac{a\,\left(d\,e\,p-\frac{a\,e^2\,p}{3\,b}\right)}{b}\right)-\frac{e^2\,p\,x^3}{9}+\frac{\ln\left(a+b\,x\right)\,\left(p\,a^3\,e^2-3\,p\,a^2\,b\,d\,e+3\,p\,a\,b^2\,d^2\right)}{3\,b^3}","Not used",1,"log(c*(a + b*x)^p)*(d^2*x + (e^2*x^3)/3 + d*e*x^2) - x^2*((d*e*p)/2 - (a*e^2*p)/(6*b)) - x*(d^2*p - (a*(d*e*p - (a*e^2*p)/(3*b)))/b) - (e^2*p*x^3)/9 + (log(a + b*x)*(a^3*e^2*p + 3*a*b^2*d^2*p - 3*a^2*b*d*e*p))/(3*b^3)","B"
178,1,68,84,0.254388,"\text{Not used}","int(log(c*(a + b*x)^p)*(d + e*x),x)","\ln\left(c\,{\left(a+b\,x\right)}^p\right)\,\left(\frac{e\,x^2}{2}+d\,x\right)-x\,\left(d\,p-\frac{a\,e\,p}{2\,b}\right)-\frac{e\,p\,x^2}{4}-\frac{\ln\left(a+b\,x\right)\,\left(a^2\,e\,p-2\,a\,b\,d\,p\right)}{2\,b^2}","Not used",1,"log(c*(a + b*x)^p)*(d*x + (e*x^2)/2) - x*(d*p - (a*e*p)/(2*b)) - (e*p*x^2)/4 - (log(a + b*x)*(a^2*e*p - 2*a*b*d*p))/(2*b^2)","B"
179,1,29,24,0.070151,"\text{Not used}","int(log(c*(a + b*x)^p),x)","x\,\ln\left(c\,{\left(a+b\,x\right)}^p\right)-p\,x+\frac{a\,p\,\ln\left(a+b\,x\right)}{b}","Not used",1,"x*log(c*(a + b*x)^p) - p*x + (a*p*log(a + b*x))/b","B"
180,0,-1,58,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x)^p)/(d + e*x), x)","F"
181,1,70,68,1.072381,"\text{Not used}","int(log(c*(a + b*x)^p)/(d + e*x)^2,x)","-\frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{e\,\left(d+e\,x\right)}+\frac{b\,p\,\mathrm{atan}\left(\frac{a\,e\,1{}\mathrm{i}+b\,d\,1{}\mathrm{i}+b\,e\,x\,2{}\mathrm{i}}{a\,e-b\,d}\right)\,2{}\mathrm{i}}{a\,e^2-b\,d\,e}","Not used",1,"(b*p*atan((a*e*1i + b*d*1i + b*e*x*2i)/(a*e - b*d))*2i)/(a*e^2 - b*d*e) - log(c*(a + b*x)^p)/(e*(d + e*x))","B"
182,1,96,105,0.637849,"\text{Not used}","int(log(c*(a + b*x)^p)/(d + e*x)^3,x)","-\frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{2\,e\,{\left(d+e\,x\right)}^2}-\frac{b\,p}{2\,e\,\left(a\,e-b\,d\right)\,\left(d+e\,x\right)}-\frac{b^2\,p\,\mathrm{atan}\left(\frac{a\,e\,1{}\mathrm{i}+b\,d\,1{}\mathrm{i}+b\,e\,x\,2{}\mathrm{i}}{a\,e-b\,d}\right)\,1{}\mathrm{i}}{e\,{\left(a\,e-b\,d\right)}^2}","Not used",1,"- log(c*(a + b*x)^p)/(2*e*(d + e*x)^2) - (b*p)/(2*e*(a*e - b*d)*(d + e*x)) - (b^2*p*atan((a*e*1i + b*d*1i + b*e*x*2i)/(a*e - b*d))*1i)/(e*(a*e - b*d)^2)","B"
183,1,145,133,0.756615,"\text{Not used}","int(log(c*(a + b*x)^p)/(d + e*x)^4,x)","\frac{b^2\,p\,x}{3\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^2}-\frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{3\,e\,{\left(d+e\,x\right)}^3}-\frac{a\,b\,p}{6\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^2}+\frac{b^2\,d\,p}{2\,e\,{\left(a\,e-b\,d\right)}^2\,{\left(d+e\,x\right)}^2}+\frac{b^3\,p\,\mathrm{atan}\left(\frac{a\,e\,1{}\mathrm{i}+b\,d\,1{}\mathrm{i}+b\,e\,x\,2{}\mathrm{i}}{a\,e-b\,d}\right)\,2{}\mathrm{i}}{3\,e\,{\left(a\,e-b\,d\right)}^3}","Not used",1,"(b^2*p*x)/(3*(a*e - b*d)^2*(d + e*x)^2) - log(c*(a + b*x)^p)/(3*e*(d + e*x)^3) + (b^3*p*atan((a*e*1i + b*d*1i + b*e*x*2i)/(a*e - b*d))*2i)/(3*e*(a*e - b*d)^3) - (a*b*p)/(6*(a*e - b*d)^2*(d + e*x)^2) + (b^2*d*p)/(2*e*(a*e - b*d)^2*(d + e*x)^2)","B"
184,1,222,178,0.456148,"\text{Not used}","int(log(c*(a + b*x^2)^p)*(d + e*x)^3,x)","\frac{e^3\,x^4\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{4}-2\,d^3\,p\,x-\frac{e^3\,p\,x^4}{8}+d^3\,x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)+\frac{3\,d^2\,e\,x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{2}+d\,e^2\,x^3\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-\frac{3\,d^2\,e\,p\,x^2}{2}-\frac{2\,d\,e^2\,p\,x^3}{3}+\frac{a\,e^3\,p\,x^2}{4\,b}+\frac{2\,\sqrt{a}\,d^3\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{b}}-\frac{a^2\,e^3\,p\,\ln\left(b\,x^2+a\right)}{4\,b^2}-\frac{2\,a^{3/2}\,d\,e^2\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{b^{3/2}}+\frac{2\,a\,d\,e^2\,p\,x}{b}+\frac{3\,a\,d^2\,e\,p\,\ln\left(b\,x^2+a\right)}{2\,b}","Not used",1,"(e^3*x^4*log(c*(a + b*x^2)^p))/4 - 2*d^3*p*x - (e^3*p*x^4)/8 + d^3*x*log(c*(a + b*x^2)^p) + (3*d^2*e*x^2*log(c*(a + b*x^2)^p))/2 + d*e^2*x^3*log(c*(a + b*x^2)^p) - (3*d^2*e*p*x^2)/2 - (2*d*e^2*p*x^3)/3 + (a*e^3*p*x^2)/(4*b) + (2*a^(1/2)*d^3*p*atan((b^(1/2)*x)/a^(1/2)))/b^(1/2) - (a^2*e^3*p*log(a + b*x^2))/(4*b^2) - (2*a^(3/2)*d*e^2*p*atan((b^(1/2)*x)/a^(1/2)))/b^(3/2) + (2*a*d*e^2*p*x)/b + (3*a*d^2*e*p*log(a + b*x^2))/(2*b)","B"
185,1,263,141,3.276161,"\text{Not used}","int(log(c*(a + b*x^2)^p)*(d + e*x)^2,x)","\frac{e^2\,x^3\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{3}-2\,d^2\,p\,x-\frac{2\,e^2\,p\,x^3}{9}+d^2\,x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)+d\,e\,x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-d\,e\,p\,x^2+\frac{2\,a\,e^2\,p\,x}{3\,b}-\frac{2\,\sqrt{a}\,d^2\,p\,\mathrm{atan}\left(\frac{3\,\sqrt{a}\,b^{3/2}\,d^2\,p\,x}{a^2\,e^2\,p-3\,a\,b\,d^2\,p}-\frac{a^{3/2}\,\sqrt{b}\,e^2\,p\,x}{a^2\,e^2\,p-3\,a\,b\,d^2\,p}\right)}{\sqrt{b}}+\frac{2\,a^{3/2}\,e^2\,p\,\mathrm{atan}\left(\frac{3\,\sqrt{a}\,b^{3/2}\,d^2\,p\,x}{a^2\,e^2\,p-3\,a\,b\,d^2\,p}-\frac{a^{3/2}\,\sqrt{b}\,e^2\,p\,x}{a^2\,e^2\,p-3\,a\,b\,d^2\,p}\right)}{3\,b^{3/2}}+\frac{a\,d\,e\,p\,\ln\left(b\,x^2+a\right)}{b}","Not used",1,"(e^2*x^3*log(c*(a + b*x^2)^p))/3 - 2*d^2*p*x - (2*e^2*p*x^3)/9 + d^2*x*log(c*(a + b*x^2)^p) + d*e*x^2*log(c*(a + b*x^2)^p) - d*e*p*x^2 + (2*a*e^2*p*x)/(3*b) - (2*a^(1/2)*d^2*p*atan((3*a^(1/2)*b^(3/2)*d^2*p*x)/(a^2*e^2*p - 3*a*b*d^2*p) - (a^(3/2)*b^(1/2)*e^2*p*x)/(a^2*e^2*p - 3*a*b*d^2*p)))/b^(1/2) + (2*a^(3/2)*e^2*p*atan((3*a^(1/2)*b^(3/2)*d^2*p*x)/(a^2*e^2*p - 3*a*b*d^2*p) - (a^(3/2)*b^(1/2)*e^2*p*x)/(a^2*e^2*p - 3*a*b*d^2*p)))/(3*b^(3/2)) + (a*d*e*p*log(a + b*x^2))/b","B"
186,1,81,99,1.132688,"\text{Not used}","int(log(c*(a + b*x^2)^p)*(d + e*x),x)","d\,x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-\frac{e\,p\,x^2}{2}-2\,d\,p\,x+\frac{e\,x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{2}+\frac{a\,e\,p\,\ln\left(b\,x^2+a\right)}{2\,b}+\frac{2\,\sqrt{a}\,d\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{b}}","Not used",1,"d*x*log(c*(a + b*x^2)^p) - (e*p*x^2)/2 - 2*d*p*x + (e*x^2*log(c*(a + b*x^2)^p))/2 + (a*e*p*log(a + b*x^2))/(2*b) + (2*a^(1/2)*d*p*atan((b^(1/2)*x)/a^(1/2)))/b^(1/2)","B"
187,1,37,45,0.081494,"\text{Not used}","int(log(c*(a + b*x^2)^p),x)","x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)-2\,p\,x+\frac{2\,\sqrt{a}\,p\,\mathrm{atan}\left(\frac{\sqrt{b}\,x}{\sqrt{a}}\right)}{\sqrt{b}}","Not used",1,"x*log(c*(a + b*x^2)^p) - 2*p*x + (2*a^(1/2)*p*atan((b^(1/2)*x)/a^(1/2)))/b^(1/2)","B"
188,0,-1,201,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/(d + e*x), x)","F"
189,1,337,119,1.255392,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(d + e*x)^2,x)","\frac{\ln\left(\frac{4\,b^3\,p^2\,x}{e}-\frac{p\,\left(b\,d+e\,\sqrt{-a\,b}\right)\,\left(2\,a\,b^2\,e\,p+2\,b^3\,d\,p\,x-\frac{2\,b^2\,e\,p\,\left(b\,d+e\,\sqrt{-a\,b}\right)\,\left(-b\,x\,d^2+4\,a\,d\,e+3\,a\,x\,e^2\right)}{b\,d^2\,e+a\,e^3}\right)}{b\,d^2\,e+a\,e^3}\right)\,\left(b\,d\,p+e\,p\,\sqrt{-a\,b}\right)}{b\,d^2\,e+a\,e^3}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{e\,\left(d+e\,x\right)}+\frac{\ln\left(\frac{4\,b^3\,p^2\,x}{e}-\frac{p\,\left(b\,d-e\,\sqrt{-a\,b}\right)\,\left(2\,a\,b^2\,e\,p+2\,b^3\,d\,p\,x-\frac{2\,b^2\,e\,p\,\left(b\,d-e\,\sqrt{-a\,b}\right)\,\left(-b\,x\,d^2+4\,a\,d\,e+3\,a\,x\,e^2\right)}{b\,d^2\,e+a\,e^3}\right)}{b\,d^2\,e+a\,e^3}\right)\,\left(b\,d\,p-e\,p\,\sqrt{-a\,b}\right)}{b\,d^2\,e+a\,e^3}-\frac{2\,b\,d\,p\,\ln\left(d+e\,x\right)}{b\,d^2\,e+a\,e^3}","Not used",1,"(log((4*b^3*p^2*x)/e - (p*(b*d + e*(-a*b)^(1/2))*(2*a*b^2*e*p + 2*b^3*d*p*x - (2*b^2*e*p*(b*d + e*(-a*b)^(1/2))*(4*a*d*e + 3*a*e^2*x - b*d^2*x))/(a*e^3 + b*d^2*e)))/(a*e^3 + b*d^2*e))*(b*d*p + e*p*(-a*b)^(1/2)))/(a*e^3 + b*d^2*e) - log(c*(a + b*x^2)^p)/(e*(d + e*x)) + (log((4*b^3*p^2*x)/e - (p*(b*d - e*(-a*b)^(1/2))*(2*a*b^2*e*p + 2*b^3*d*p*x - (2*b^2*e*p*(b*d - e*(-a*b)^(1/2))*(4*a*d*e + 3*a*e^2*x - b*d^2*x))/(a*e^3 + b*d^2*e)))/(a*e^3 + b*d^2*e))*(b*d*p - e*p*(-a*b)^(1/2)))/(a*e^3 + b*d^2*e) - (2*b*d*p*log(d + e*x))/(a*e^3 + b*d^2*e)","B"
190,1,272,174,0.980748,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(d + e*x)^3,x)","\frac{\ln\left(b^2\,x+\sqrt{-a\,b^3}\right)\,\left(b^2\,d^2\,p-a\,b\,e^2\,p+2\,d\,e\,p\,\sqrt{-a\,b^3}\right)}{2\,\left(a^2\,e^5+2\,a\,b\,d^2\,e^3+b^2\,d^4\,e\right)}-\frac{\ln\left(d+e\,x\right)\,\left(b^2\,d^2\,p-a\,b\,e^2\,p\right)}{a^2\,e^5+2\,a\,b\,d^2\,e^3+b^2\,d^4\,e}-\frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{2\,e\,\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}-\frac{\ln\left(b^2\,x-\sqrt{-a\,b^3}\right)\,\left(a\,b\,e^2\,p-b^2\,d^2\,p+2\,d\,e\,p\,\sqrt{-a\,b^3}\right)}{2\,\left(a^2\,e^5+2\,a\,b\,d^2\,e^3+b^2\,d^4\,e\right)}+\frac{b\,d\,p}{\left(x\,e^2+d\,e\right)\,\left(b\,d^2+a\,e^2\right)}","Not used",1,"(log(b^2*x + (-a*b^3)^(1/2))*(b^2*d^2*p - a*b*e^2*p + 2*d*e*p*(-a*b^3)^(1/2)))/(2*(a^2*e^5 + b^2*d^4*e + 2*a*b*d^2*e^3)) - (log(d + e*x)*(b^2*d^2*p - a*b*e^2*p))/(a^2*e^5 + b^2*d^4*e + 2*a*b*d^2*e^3) - log(c*(a + b*x^2)^p)/(2*e*(d^2 + e^2*x^2 + 2*d*e*x)) - (log(b^2*x - (-a*b^3)^(1/2))*(a*b*e^2*p - b^2*d^2*p + 2*d*e*p*(-a*b^3)^(1/2)))/(2*(a^2*e^5 + b^2*d^4*e + 2*a*b*d^2*e^3)) + (b*d*p)/((d*e + e^2*x)*(a*e^2 + b*d^2))","B"
191,1,536,320,0.948226,"\text{Not used}","int(log(c*(a + b*x^3)^p)*(d + e*x)^3,x)","\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)\,\left(d^3\,x+\frac{3\,d^2\,e\,x^2}{2}+d\,e^2\,x^3+\frac{e^3\,x^4}{4}\right)-x\,\left(3\,d^3\,p-\frac{3\,a\,e^3\,p}{4\,b}\right)+\left(\sum _{k=1}^3\ln\left(x\,\left(\frac{9\,a^3\,d\,e^5\,p^2}{4}+\frac{45\,b\,a^2\,d^4\,e^2\,p^2}{4}\right)+\mathrm{root}\left(64\,b^4\,c^3-192\,a\,b^3\,c^2\,d\,e^2\,p+288\,a\,b^3\,c\,d^5\,e\,p^2+120\,a^2\,b^2\,c\,d^2\,e^4\,p^2-4\,a^3\,b\,d^3\,e^6\,p^3-24\,a^2\,b^2\,d^6\,e^3\,p^3-64\,a\,b^3\,d^9\,p^3+a^4\,e^9\,p^3,c,k\right)\,\left(x\,\left(9\,a\,b^2\,d^3\,p-\frac{9\,a^2\,b\,e^3\,p}{4}\right)+\mathrm{root}\left(64\,b^4\,c^3-192\,a\,b^3\,c^2\,d\,e^2\,p+288\,a\,b^3\,c\,d^5\,e\,p^2+120\,a^2\,b^2\,c\,d^2\,e^4\,p^2-4\,a^3\,b\,d^3\,e^6\,p^3-24\,a^2\,b^2\,d^6\,e^3\,p^3-64\,a\,b^3\,d^9\,p^3+a^4\,e^9\,p^3,c,k\right)\,a\,b^2\,9-18\,a^2\,b\,d\,e^2\,p\right)+\frac{45\,a^3\,d^2\,e^4\,p^2}{8}+\frac{27\,a^2\,b\,d^5\,e\,p^2}{2}\right)\,\mathrm{root}\left(64\,b^4\,c^3-192\,a\,b^3\,c^2\,d\,e^2\,p+288\,a\,b^3\,c\,d^5\,e\,p^2+120\,a^2\,b^2\,c\,d^2\,e^4\,p^2-4\,a^3\,b\,d^3\,e^6\,p^3-24\,a^2\,b^2\,d^6\,e^3\,p^3-64\,a\,b^3\,d^9\,p^3+a^4\,e^9\,p^3,c,k\right)\right)-\frac{3\,e^3\,p\,x^4}{16}-\frac{9\,d^2\,e\,p\,x^2}{4}-d\,e^2\,p\,x^3","Not used",1,"log(c*(a + b*x^3)^p)*(d^3*x + (e^3*x^4)/4 + (3*d^2*e*x^2)/2 + d*e^2*x^3) - x*(3*d^3*p - (3*a*e^3*p)/(4*b)) + symsum(log(x*((9*a^3*d*e^5*p^2)/4 + (45*a^2*b*d^4*e^2*p^2)/4) + root(64*b^4*c^3 - 192*a*b^3*c^2*d*e^2*p + 288*a*b^3*c*d^5*e*p^2 + 120*a^2*b^2*c*d^2*e^4*p^2 - 4*a^3*b*d^3*e^6*p^3 - 24*a^2*b^2*d^6*e^3*p^3 - 64*a*b^3*d^9*p^3 + a^4*e^9*p^3, c, k)*(x*(9*a*b^2*d^3*p - (9*a^2*b*e^3*p)/4) + 9*root(64*b^4*c^3 - 192*a*b^3*c^2*d*e^2*p + 288*a*b^3*c*d^5*e*p^2 + 120*a^2*b^2*c*d^2*e^4*p^2 - 4*a^3*b*d^3*e^6*p^3 - 24*a^2*b^2*d^6*e^3*p^3 - 64*a*b^3*d^9*p^3 + a^4*e^9*p^3, c, k)*a*b^2 - 18*a^2*b*d*e^2*p) + (45*a^3*d^2*e^4*p^2)/8 + (27*a^2*b*d^5*e*p^2)/2)*root(64*b^4*c^3 - 192*a*b^3*c^2*d*e^2*p + 288*a*b^3*c*d^5*e*p^2 + 120*a^2*b^2*c*d^2*e^4*p^2 - 4*a^3*b*d^3*e^6*p^3 - 24*a^2*b^2*d^6*e^3*p^3 - 64*a*b^3*d^9*p^3 + a^4*e^9*p^3, c, k), k, 1, 3) - (3*e^3*p*x^4)/16 - (9*d^2*e*p*x^2)/4 - d*e^2*p*x^3","B"
192,1,358,250,0.321644,"\text{Not used}","int(log(c*(a + b*x^3)^p)*(d + e*x)^2,x)","\left(\sum _{k=1}^3\ln\left(\mathrm{root}\left(27\,b^3\,c^3-27\,a\,b^2\,c^2\,e^2\,p+81\,a\,b^2\,c\,d^3\,e\,p^2+9\,a^2\,b\,c\,e^4\,p^2-27\,a\,b^2\,d^6\,p^3-a^3\,e^6\,p^3,c,k\right)\,\left(\mathrm{root}\left(27\,b^3\,c^3-27\,a\,b^2\,c^2\,e^2\,p+81\,a\,b^2\,c\,d^3\,e\,p^2+9\,a^2\,b\,c\,e^4\,p^2-27\,a\,b^2\,d^6\,p^3-a^3\,e^6\,p^3,c,k\right)\,a\,b^2\,9-6\,a^2\,b\,e^2\,p+9\,a\,b^2\,d^2\,p\,x\right)+a^3\,e^4\,p^2+9\,a^2\,b\,d^3\,e\,p^2+6\,a^2\,b\,d^2\,e^2\,p^2\,x\right)\,\mathrm{root}\left(27\,b^3\,c^3-27\,a\,b^2\,c^2\,e^2\,p+81\,a\,b^2\,c\,d^3\,e\,p^2+9\,a^2\,b\,c\,e^4\,p^2-27\,a\,b^2\,d^6\,p^3-a^3\,e^6\,p^3,c,k\right)\right)+\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)\,\left(d^2\,x+d\,e\,x^2+\frac{e^2\,x^3}{3}\right)-3\,d^2\,p\,x-\frac{e^2\,p\,x^3}{3}-\frac{3\,d\,e\,p\,x^2}{2}","Not used",1,"symsum(log(root(27*b^3*c^3 - 27*a*b^2*c^2*e^2*p + 81*a*b^2*c*d^3*e*p^2 + 9*a^2*b*c*e^4*p^2 - 27*a*b^2*d^6*p^3 - a^3*e^6*p^3, c, k)*(9*root(27*b^3*c^3 - 27*a*b^2*c^2*e^2*p + 81*a*b^2*c*d^3*e*p^2 + 9*a^2*b*c*e^4*p^2 - 27*a*b^2*d^6*p^3 - a^3*e^6*p^3, c, k)*a*b^2 - 6*a^2*b*e^2*p + 9*a*b^2*d^2*p*x) + a^3*e^4*p^2 + 9*a^2*b*d^3*e*p^2 + 6*a^2*b*d^2*e^2*p^2*x)*root(27*b^3*c^3 - 27*a*b^2*c^2*e^2*p + 81*a*b^2*c*d^3*e*p^2 + 9*a^2*b*c*e^4*p^2 - 27*a*b^2*d^6*p^3 - a^3*e^6*p^3, c, k), k, 1, 3) + log(c*(a + b*x^3)^p)*(d^2*x + (e^2*x^3)/3 + d*e*x^2) - 3*d^2*p*x - (e^2*p*x^3)/3 - (3*d*e*p*x^2)/2","B"
193,1,210,229,0.309739,"\text{Not used}","int(log(c*(a + b*x^3)^p)*(d + e*x),x)","\left(\sum _{k=1}^3\ln\left(\mathrm{root}\left(8\,b^2\,c^3+12\,a\,b\,c\,d\,e\,p^2-8\,a\,b\,d^3\,p^3+a^2\,e^3\,p^3,c,k\right)\,\left(\mathrm{root}\left(8\,b^2\,c^3+12\,a\,b\,c\,d\,e\,p^2-8\,a\,b\,d^3\,p^3+a^2\,e^3\,p^3,c,k\right)\,a\,b^2\,9+9\,a\,b^2\,d\,p\,x\right)+\frac{9\,a^2\,b\,d\,e\,p^2}{2}+\frac{9\,a^2\,b\,e^2\,p^2\,x}{4}\right)\,\mathrm{root}\left(8\,b^2\,c^3+12\,a\,b\,c\,d\,e\,p^2-8\,a\,b\,d^3\,p^3+a^2\,e^3\,p^3,c,k\right)\right)+\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)\,\left(\frac{e\,x^2}{2}+d\,x\right)-\frac{3\,e\,p\,x^2}{4}-3\,d\,p\,x","Not used",1,"symsum(log(root(8*b^2*c^3 + 12*a*b*c*d*e*p^2 - 8*a*b*d^3*p^3 + a^2*e^3*p^3, c, k)*(9*root(8*b^2*c^3 + 12*a*b*c*d*e*p^2 - 8*a*b*d^3*p^3 + a^2*e^3*p^3, c, k)*a*b^2 + 9*a*b^2*d*p*x) + (9*a^2*b*d*e*p^2)/2 + (9*a^2*b*e^2*p^2*x)/4)*root(8*b^2*c^3 + 12*a*b*c*d*e*p^2 - 8*a*b*d^3*p^3 + a^2*e^3*p^3, c, k), k, 1, 3) + log(c*(a + b*x^3)^p)*(d*x + (e*x^2)/2) - (3*e*p*x^2)/4 - 3*d*p*x","B"
194,1,134,133,0.003695,"\text{Not used}","int(log(c*(a + b*x^3)^p),x)","x\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)-3\,p\,x-\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left({\left(-a\right)}^{4/3}+a\,b^{1/3}\,x\right)}{b^{1/3}}+\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left(2\,a\,b^{1/3}\,x-{\left(-a\right)}^{4/3}-\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}-\frac{{\left(-a\right)}^{1/3}\,p\,\ln\left(2\,a\,b^{1/3}\,x-{\left(-a\right)}^{4/3}+\sqrt{3}\,{\left(-a\right)}^{4/3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{b^{1/3}}","Not used",1,"x*log(c*(a + b*x^3)^p) - 3*p*x - ((-a)^(1/3)*p*log((-a)^(4/3) + a*b^(1/3)*x))/b^(1/3) + ((-a)^(1/3)*p*log(2*a*b^(1/3)*x - 3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3))*((3^(1/2)*1i)/2 + 1/2))/b^(1/3) - ((-a)^(1/3)*p*log(3^(1/2)*(-a)^(4/3)*1i - (-a)^(4/3) + 2*a*b^(1/3)*x)*((3^(1/2)*1i)/2 - 1/2))/b^(1/3)","B"
195,0,-1,308,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/(d + e*x), x)","F"
196,1,736,292,0.487454,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(d + e*x)^2,x)","\left(\sum _{k=1}^3\ln\left(-\frac{27\,a\,b^4\,d\,p^3+27\,a\,b^4\,e\,p^3\,x+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^3\,a\,b^4\,d^4\,e^3\,9+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^3\,a^2\,b^3\,d\,e^6\,45-{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^2\,a^2\,b^3\,e^5\,p\,9+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^3\,a^2\,b^3\,e^7\,x\,36+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^2\,a\,b^4\,d^3\,e^2\,p\,9+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^3\,a\,b^4\,d^3\,e^4\,x\,18-\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)\,a\,b^4\,d^2\,e\,p^2\,45-\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)\,a\,b^4\,d\,e^2\,p^2\,x\,72+{\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)}^2\,a\,b^4\,d^2\,e^3\,p\,x\,27}{e^2}\right)\,\mathrm{root}\left(b\,d^3\,e^3\,z^3-a\,e^6\,z^3-3\,b\,d^2\,e^2\,p\,z^2+3\,b\,d\,e\,p^2\,z-b\,p^3,z,k\right)\right)-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x\,e^2+d\,e}+\frac{3\,b\,d^2\,p\,\ln\left(d+e\,x\right)}{a\,e^4-b\,d^3\,e}","Not used",1,"symsum(log(-(27*a*b^4*d*p^3 + 27*a*b^4*e*p^3*x + 9*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^3*a*b^4*d^4*e^3 + 45*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^3*a^2*b^3*d*e^6 - 9*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^2*a^2*b^3*e^5*p + 36*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^3*a^2*b^3*e^7*x + 9*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^2*a*b^4*d^3*e^2*p + 18*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^3*a*b^4*d^3*e^4*x - 45*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)*a*b^4*d^2*e*p^2 - 72*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)*a*b^4*d*e^2*p^2*x + 27*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k)^2*a*b^4*d^2*e^3*p*x)/e^2)*root(b*d^3*e^3*z^3 - a*e^6*z^3 - 3*b*d^2*e^2*p*z^2 + 3*b*d*e*p^2*z - b*p^3, z, k), k, 1, 3) - log(c*(a + b*x^3)^p)/(d*e + e^2*x) + (3*b*d^2*p*log(d + e*x))/(a*e^4 - b*d^3*e)","B"
197,1,2227,391,0.883995,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(d + e*x)^3,x)","\left(\sum _{k=1}^3\ln\left(-\frac{27\,a\,b^6\,d^4\,p^3+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a^2\,b^5\,d^7\,e^6\,216-{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a^3\,b^4\,d^4\,e^9\,648+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a\,b^6\,d^{10}\,e^3\,72+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a^4\,b^3\,d\,e^{12}\,360+\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\,a^3\,b^4\,e^7\,p^2\,18+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a^4\,b^3\,e^{13}\,x\,288+27\,a^2\,b^5\,d\,e^3\,p^3-27\,a^2\,b^5\,e^4\,p^3\,x+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a\,b^6\,d^8\,e^2\,p\,36+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a\,b^6\,d^9\,e^4\,x\,144-\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\,a^2\,b^5\,d^3\,e^4\,p^2\,90+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a^2\,b^5\,d^5\,e^5\,p\,252-{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a^3\,b^4\,d^2\,e^8\,p\,288-{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^3\,a^3\,b^4\,d^3\,e^{10}\,x\,432-\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\,a\,b^6\,d^6\,e\,p^2\,90-\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\,a^2\,b^5\,d^2\,e^5\,p^2\,x\,54+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a^2\,b^5\,d^4\,e^6\,p\,x\,360-\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\,a\,b^6\,d^5\,e^2\,p^2\,x\,108+{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a\,b^6\,d^7\,e^3\,p\,x\,144-{\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)}^2\,a^3\,b^4\,d\,e^9\,p\,x\,504}{8\,a^2\,e^8-16\,a\,b\,d^3\,e^5+8\,b^2\,d^6\,e^2}\right)\,\mathrm{root}\left(16\,a\,b\,d^3\,e^6\,z^3-8\,b^2\,d^6\,e^3\,z^3-8\,a^2\,e^9\,z^3+24\,a\,b\,d\,e^5\,p\,z^2+12\,b^2\,d^4\,e^2\,p\,z^2-6\,b^2\,d^2\,e\,p^2\,z+b^2\,p^3,z,k\right)\right)-\frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{2\,\left(d^2\,e+2\,d\,e^2\,x+e^3\,x^2\right)}-\frac{3\,b\,d^2\,p}{-2\,b\,d^4\,e-2\,b\,x\,d^3\,e^2+2\,a\,d\,e^4+2\,a\,x\,e^5}-\frac{3\,b^2\,d^4\,p\,\ln\left(d+e\,x\right)}{2\,a^2\,e^7-4\,a\,b\,d^3\,e^4+2\,b^2\,d^6\,e}-\frac{6\,a\,b\,d\,e^3\,p\,\ln\left(d+e\,x\right)}{2\,a^2\,e^7-4\,a\,b\,d^3\,e^4+2\,b^2\,d^6\,e}","Not used",1,"symsum(log(-(27*a*b^6*d^4*p^3 + 216*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a^2*b^5*d^7*e^6 - 648*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a^3*b^4*d^4*e^9 + 72*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a*b^6*d^10*e^3 + 360*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a^4*b^3*d*e^12 + 18*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)*a^3*b^4*e^7*p^2 + 288*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a^4*b^3*e^13*x + 27*a^2*b^5*d*e^3*p^3 - 27*a^2*b^5*e^4*p^3*x + 36*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a*b^6*d^8*e^2*p + 144*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a*b^6*d^9*e^4*x - 90*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)*a^2*b^5*d^3*e^4*p^2 + 252*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a^2*b^5*d^5*e^5*p - 288*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a^3*b^4*d^2*e^8*p - 432*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^3*a^3*b^4*d^3*e^10*x - 90*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)*a*b^6*d^6*e*p^2 - 54*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)*a^2*b^5*d^2*e^5*p^2*x + 360*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a^2*b^5*d^4*e^6*p*x - 108*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)*a*b^6*d^5*e^2*p^2*x + 144*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a*b^6*d^7*e^3*p*x - 504*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k)^2*a^3*b^4*d*e^9*p*x)/(8*a^2*e^8 + 8*b^2*d^6*e^2 - 16*a*b*d^3*e^5))*root(16*a*b*d^3*e^6*z^3 - 8*b^2*d^6*e^3*z^3 - 8*a^2*e^9*z^3 + 24*a*b*d*e^5*p*z^2 + 12*b^2*d^4*e^2*p*z^2 - 6*b^2*d^2*e*p^2*z + b^2*p^3, z, k), k, 1, 3) - log(c*(a + b*x^3)^p)/(2*(d^2*e + e^3*x^2 + 2*d*e^2*x)) - (3*b*d^2*p)/(2*a*d*e^4 - 2*b*d^4*e + 2*a*e^5*x - 2*b*d^3*e^2*x) - (3*b^2*d^4*p*log(d + e*x))/(2*a^2*e^7 + 2*b^2*d^6*e - 4*a*b*d^3*e^4) - (6*a*b*d*e^3*p*log(d + e*x))/(2*a^2*e^7 + 2*b^2*d^6*e - 4*a*b*d^3*e^4)","B"
198,1,184,139,0.342711,"\text{Not used}","int(log(c*(a + b/x)^p)*(d + e*x)^3,x)","x\,\left(\frac{b\,\left(\frac{b^2\,e^3\,p}{4\,a^2}-\frac{b\,d\,e^2\,p}{a}\right)}{a}+\frac{3\,b\,d^2\,e\,p}{2\,a}\right)+\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)\,\left(d^3\,x+\frac{3\,d^2\,e\,x^2}{2}+d\,e^2\,x^3+\frac{e^3\,x^4}{4}\right)-x^2\,\left(\frac{b^2\,e^3\,p}{8\,a^2}-\frac{b\,d\,e^2\,p}{2\,a}\right)-\frac{\ln\left(b+a\,x\right)\,\left(-4\,p\,a^3\,b\,d^3+6\,p\,a^2\,b^2\,d^2\,e-4\,p\,a\,b^3\,d\,e^2+p\,b^4\,e^3\right)}{4\,a^4}+\frac{b\,e^3\,p\,x^3}{12\,a}","Not used",1,"x*((b*((b^2*e^3*p)/(4*a^2) - (b*d*e^2*p)/a))/a + (3*b*d^2*e*p)/(2*a)) + log(c*(a + b/x)^p)*(d^3*x + (e^3*x^4)/4 + (3*d^2*e*x^2)/2 + d*e^2*x^3) - x^2*((b^2*e^3*p)/(8*a^2) - (b*d*e^2*p)/(2*a)) - (log(b + a*x)*(b^4*e^3*p - 4*a^3*b*d^3*p - 4*a*b^3*d*e^2*p + 6*a^2*b^2*d^2*e*p))/(4*a^4) + (b*e^3*p*x^3)/(12*a)","B"
199,1,111,102,0.320964,"\text{Not used}","int(log(c*(a + b/x)^p)*(d + e*x)^2,x)","\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)\,\left(d^2\,x+d\,e\,x^2+\frac{e^2\,x^3}{3}\right)-x\,\left(\frac{b^2\,e^2\,p}{3\,a^2}-\frac{b\,d\,e\,p}{a}\right)+\frac{\ln\left(b+a\,x\right)\,\left(3\,p\,a^2\,b\,d^2-3\,p\,a\,b^2\,d\,e+p\,b^3\,e^2\right)}{3\,a^3}+\frac{b\,e^2\,p\,x^2}{6\,a}","Not used",1,"log(c*(a + b/x)^p)*(d^2*x + (e^2*x^3)/3 + d*e*x^2) - x*((b^2*e^2*p)/(3*a^2) - (b*d*e*p)/a) + (log(b + a*x)*(b^3*e^2*p + 3*a^2*b*d^2*p - 3*a*b^2*d*e*p))/(3*a^3) + (b*e^2*p*x^2)/(6*a)","B"
200,1,57,78,0.303938,"\text{Not used}","int(log(c*(a + b/x)^p)*(d + e*x),x)","\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)\,\left(\frac{e\,x^2}{2}+d\,x\right)-\frac{\ln\left(b+a\,x\right)\,\left(b^2\,e\,p-2\,a\,b\,d\,p\right)}{2\,a^2}+\frac{b\,e\,p\,x}{2\,a}","Not used",1,"log(c*(a + b/x)^p)*(d*x + (e*x^2)/2) - (log(b + a*x)*(b^2*e*p - 2*a*b*d*p))/(2*a^2) + (b*e*p*x)/(2*a)","B"
201,0,-1,113,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/(d + e*x), x)","F"
202,1,85,81,0.531776,"\text{Not used}","int(log(c*(a + b/x)^p)/(d + e*x)^2,x)","-\frac{\ln\left(c\,{\left(\frac{b+a\,x}{x}\right)}^p\right)}{x\,e^2+d\,e}-\frac{p\,\ln\left(x\right)}{d\,e}-\frac{a\,p\,\ln\left(b+a\,x\right)}{b\,e^2-a\,d\,e}-\frac{b\,p\,\ln\left(d+e\,x\right)}{a\,d^2-b\,d\,e}","Not used",1,"- log(c*((b + a*x)/x)^p)/(d*e + e^2*x) - (p*log(x))/(d*e) - (a*p*log(b + a*x))/(b*e^2 - a*d*e) - (b*p*log(d + e*x))/(a*d^2 - b*d*e)","B"
203,1,217,127,1.081506,"\text{Not used}","int(log(c*(a + b/x)^p)/(d + e*x)^3,x)","\frac{a^2\,p\,\ln\left(b+a\,x\right)}{2\,a^2\,d^2\,e-4\,a\,b\,d\,e^2+2\,b^2\,e^3}-\frac{\ln\left(c\,{\left(\frac{b+a\,x}{x}\right)}^p\right)}{2\,\left(d^2\,e+2\,d\,e^2\,x+e^3\,x^2\right)}-\frac{p\,\ln\left(x\right)}{2\,d^2\,e}-\frac{b\,e\,p}{2\,b\,d^2\,e^2-2\,a\,d^3\,e+2\,b\,d\,e^3\,x-2\,a\,d^2\,e^2\,x}+\frac{b^2\,e\,p\,\ln\left(d+e\,x\right)}{2\,a^2\,d^4-4\,a\,b\,d^3\,e+2\,b^2\,d^2\,e^2}-\frac{2\,a\,b\,d\,p\,\ln\left(d+e\,x\right)}{2\,a^2\,d^4-4\,a\,b\,d^3\,e+2\,b^2\,d^2\,e^2}","Not used",1,"(a^2*p*log(b + a*x))/(2*b^2*e^3 + 2*a^2*d^2*e - 4*a*b*d*e^2) - log(c*((b + a*x)/x)^p)/(2*(d^2*e + e^3*x^2 + 2*d*e^2*x)) - (p*log(x))/(2*d^2*e) - (b*e*p)/(2*b*d^2*e^2 - 2*a*d^3*e + 2*b*d*e^3*x - 2*a*d^2*e^2*x) + (b^2*e*p*log(d + e*x))/(2*a^2*d^4 + 2*b^2*d^2*e^2 - 4*a*b*d^3*e) - (2*a*b*d*p*log(d + e*x))/(2*a^2*d^4 + 2*b^2*d^2*e^2 - 4*a*b*d^3*e)","B"
204,1,662,175,1.853345,"\text{Not used}","int(log(c*(a + b/x)^p)/(d + e*x)^4,x)","\frac{p\,\ln\left(d+e\,x\right)}{3\,d^3\,e}-\frac{3\,b^2\,e^2\,p}{2\,\left(3\,a^2\,d^5\,e+6\,a^2\,d^4\,e^2\,x+3\,a^2\,d^3\,e^3\,x^2-6\,a\,b\,d^4\,e^2-12\,a\,b\,d^3\,e^3\,x-6\,a\,b\,d^2\,e^4\,x^2+3\,b^2\,d^3\,e^3+6\,b^2\,d^2\,e^4\,x+3\,b^2\,d\,e^5\,x^2\right)}-\frac{p\,\ln\left(x\right)}{3\,d^3\,e}-\frac{a^3\,p\,\ln\left(b+a\,x\right)}{-3\,a^3\,d^3\,e+9\,a^2\,b\,d^2\,e^2-9\,a\,b^2\,d\,e^3+3\,b^3\,e^4}-\frac{\ln\left(c\,{\left(\frac{b+a\,x}{x}\right)}^p\right)}{3\,\left(d^3\,e+3\,d^2\,e^2\,x+3\,d\,e^3\,x^2+e^4\,x^3\right)}-\frac{b^2\,e^3\,p\,x}{3\,a^2\,d^6\,e+6\,a^2\,d^5\,e^2\,x+3\,a^2\,d^4\,e^3\,x^2-6\,a\,b\,d^5\,e^2-12\,a\,b\,d^4\,e^3\,x-6\,a\,b\,d^3\,e^4\,x^2+3\,b^2\,d^4\,e^3+6\,b^2\,d^3\,e^4\,x+3\,b^2\,d^2\,e^5\,x^2}-\frac{a^3\,d^3\,p\,\ln\left(d+e\,x\right)}{3\,a^3\,d^6\,e-9\,a^2\,b\,d^5\,e^2+9\,a\,b^2\,d^4\,e^3-3\,b^3\,d^3\,e^4}+\frac{5\,a\,b\,d\,e\,p}{2\,\left(3\,a^2\,d^5\,e+6\,a^2\,d^4\,e^2\,x+3\,a^2\,d^3\,e^3\,x^2-6\,a\,b\,d^4\,e^2-12\,a\,b\,d^3\,e^3\,x-6\,a\,b\,d^2\,e^4\,x^2+3\,b^2\,d^3\,e^3+6\,b^2\,d^2\,e^4\,x+3\,b^2\,d\,e^5\,x^2\right)}+\frac{2\,a\,b\,d\,e^2\,p\,x}{3\,a^2\,d^6\,e+6\,a^2\,d^5\,e^2\,x+3\,a^2\,d^4\,e^3\,x^2-6\,a\,b\,d^5\,e^2-12\,a\,b\,d^4\,e^3\,x-6\,a\,b\,d^3\,e^4\,x^2+3\,b^2\,d^4\,e^3+6\,b^2\,d^3\,e^4\,x+3\,b^2\,d^2\,e^5\,x^2}","Not used",1,"(p*log(d + e*x))/(3*d^3*e) - (3*b^2*e^2*p)/(2*(3*a^2*d^5*e + 3*b^2*d^3*e^3 + 6*a^2*d^4*e^2*x + 6*b^2*d^2*e^4*x + 3*b^2*d*e^5*x^2 + 3*a^2*d^3*e^3*x^2 - 6*a*b*d^4*e^2 - 12*a*b*d^3*e^3*x - 6*a*b*d^2*e^4*x^2)) - (p*log(x))/(3*d^3*e) - (a^3*p*log(b + a*x))/(3*b^3*e^4 - 3*a^3*d^3*e + 9*a^2*b*d^2*e^2 - 9*a*b^2*d*e^3) - log(c*((b + a*x)/x)^p)/(3*(d^3*e + e^4*x^3 + 3*d^2*e^2*x + 3*d*e^3*x^2)) - (b^2*e^3*p*x)/(3*a^2*d^6*e + 3*b^2*d^4*e^3 + 6*a^2*d^5*e^2*x + 6*b^2*d^3*e^4*x + 3*a^2*d^4*e^3*x^2 + 3*b^2*d^2*e^5*x^2 - 6*a*b*d^5*e^2 - 12*a*b*d^4*e^3*x - 6*a*b*d^3*e^4*x^2) - (a^3*d^3*p*log(d + e*x))/(3*a^3*d^6*e - 3*b^3*d^3*e^4 + 9*a*b^2*d^4*e^3 - 9*a^2*b*d^5*e^2) + (5*a*b*d*e*p)/(2*(3*a^2*d^5*e + 3*b^2*d^3*e^3 + 6*a^2*d^4*e^2*x + 6*b^2*d^2*e^4*x + 3*b^2*d*e^5*x^2 + 3*a^2*d^3*e^3*x^2 - 6*a*b*d^4*e^2 - 12*a*b*d^3*e^3*x - 6*a*b*d^2*e^4*x^2)) + (2*a*b*d*e^2*p*x)/(3*a^2*d^6*e + 3*b^2*d^4*e^3 + 6*a^2*d^5*e^2*x + 6*b^2*d^3*e^4*x + 3*a^2*d^4*e^3*x^2 + 3*b^2*d^2*e^5*x^2 - 6*a*b*d^5*e^2 - 12*a*b*d^4*e^3*x - 6*a*b*d^3*e^4*x^2)","B"
205,0,-1,105,0.000000,"\text{Not used}","int(log(a + b/x)/(c + d*x),x)","\int \frac{\ln\left(a+\frac{b}{x}\right)}{c+d\,x} \,d x","Not used",1,"int(log(a + b/x)/(c + d*x), x)","F"
206,0,-1,301,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)*(d + e*x)^m,x)","\int \ln\left(c\,{\left(b\,x^3+a\right)}^p\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)*(d + e*x)^m, x)","F"
207,0,-1,205,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)*(d + e*x)^m,x)","\int \ln\left(c\,{\left(b\,x^2+a\right)}^p\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)*(d + e*x)^m, x)","F"
208,0,-1,89,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)*(d + e*x)^m,x)","\int \ln\left(c\,{\left(a+b\,x\right)}^p\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(log(c*(a + b*x)^p)*(d + e*x)^m, x)","F"
209,0,-1,135,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)*(d + e*x)^m,x)","\int \ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(log(c*(a + b/x)^p)*(d + e*x)^m, x)","F"
210,0,-1,257,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)*(d + e*x)^m,x)","\int \ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)*(d + e*x)^m, x)","F"
211,0,-1,23,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f + g*x)^m,x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x\right)}^m \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)*(f + g*x)^m, x)","F"
212,0,-1,234,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f + g*x)^3,x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x\right)}^3 \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f + g*x)^3, x)","F"
213,0,-1,181,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f + g*x)^2,x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x\right)}^2 \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f + g*x)^2, x)","F"
214,0,-1,132,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)*(f + g*x),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+g\,x\right) \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)*(f + g*x), x)","F"
215,0,-1,54,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p),x)","\int \ln\left(c\,{\left(d+e\,x^n\right)}^p\right) \,d x","Not used",1,"int(log(c*(d + e*x^n)^p), x)","F"
216,0,-1,23,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f + g*x),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{f+g\,x} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)/(f + g*x), x)","F"
217,0,-1,23,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f + g*x)^2,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{{\left(f+g\,x\right)}^2} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)/(f + g*x)^2, x)","F"
218,0,-1,23,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(f + g*x)^3,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{{\left(f+g\,x\right)}^3} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)/(f + g*x)^3, x)","F"
219,0,-1,250,0.000000,"\text{Not used}","int((x^3*log(c*(a + b*x)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b*x)^p))/(d + e*x), x)","F"
220,0,-1,159,0.000000,"\text{Not used}","int((x^2*log(c*(a + b*x)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b*x)^p))/(d + e*x), x)","F"
221,0,-1,91,0.000000,"\text{Not used}","int((x*log(c*(a + b*x)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b*x)^p))/(d + e*x), x)","F"
222,0,-1,58,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x)^p)/(d + e*x), x)","F"
223,0,-1,97,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x)^p)/(x*(d + e*x)), x)","F"
224,0,-1,146,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x)^p)/(x^2*(d + e*x)), x)","F"
225,0,-1,227,0.000000,"\text{Not used}","int(log(c*(a + b*x)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+b\,x\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x)^p)/(x^3*(d + e*x)), x)","F"
226,0,-1,394,0.000000,"\text{Not used}","int((x^3*log(c*(a + b*x^2)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b*x^2)^p))/(d + e*x), x)","F"
227,0,-1,313,0.000000,"\text{Not used}","int((x^2*log(c*(a + b*x^2)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b*x^2)^p))/(d + e*x), x)","F"
228,0,-1,256,0.000000,"\text{Not used}","int((x*log(c*(a + b*x^2)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b*x^2)^p))/(d + e*x), x)","F"
229,0,-1,201,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/(d + e*x), x)","F"
230,0,-1,247,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/(x*(d + e*x)), x)","F"
231,0,-1,306,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/(x^2*(d + e*x)), x)","F"
232,0,-1,371,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^2)^p)/(x^3*(d + e*x)), x)","F"
233,0,-1,692,0.000000,"\text{Not used}","int((x^3*log(c*(a + b*x^3)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b*x^3)^p))/(d + e*x), x)","F"
234,0,-1,643,0.000000,"\text{Not used}","int((x^2*log(c*(a + b*x^3)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b*x^3)^p))/(d + e*x), x)","F"
235,0,-1,457,0.000000,"\text{Not used}","int((x*log(c*(a + b*x^3)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b*x^3)^p))/(d + e*x), x)","F"
236,0,-1,308,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/(d + e*x), x)","F"
237,0,-1,352,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/(x*(d + e*x)), x)","F"
238,0,-1,510,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/(x^2*(d + e*x)), x)","F"
239,0,-1,674,0.000000,"\text{Not used}","int(log(c*(a + b*x^3)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(b\,x^3+a\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b*x^3)^p)/(x^3*(d + e*x)), x)","F"
240,0,-1,297,0.000000,"\text{Not used}","int((x^3*log(c*(a + b/x)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b/x)^p))/(d + e*x), x)","F"
241,0,-1,219,0.000000,"\text{Not used}","int((x^2*log(c*(a + b/x)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b/x)^p))/(d + e*x), x)","F"
242,0,-1,151,0.000000,"\text{Not used}","int((x*log(c*(a + b/x)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b/x)^p))/(d + e*x), x)","F"
243,0,-1,113,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/(d + e*x), x)","F"
244,0,-1,159,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/(x*(d + e*x)), x)","F"
245,0,-1,198,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/(x^2*(d + e*x)), x)","F"
246,0,-1,287,0.000000,"\text{Not used}","int(log(c*(a + b/x)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x}\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x)^p)/(x^3*(d + e*x)), x)","F"
247,0,-1,421,0.000000,"\text{Not used}","int((x^3*log(c*(a + b/x^2)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b/x^2)^p))/(d + e*x), x)","F"
248,0,-1,353,0.000000,"\text{Not used}","int((x^2*log(c*(a + b/x^2)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b/x^2)^p))/(d + e*x), x)","F"
249,0,-1,291,0.000000,"\text{Not used}","int((x*log(c*(a + b/x^2)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b/x^2)^p))/(d + e*x), x)","F"
250,0,-1,241,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)/(d + e*x), x)","F"
251,0,-1,287,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)/(x*(d + e*x)), x)","F"
252,0,-1,357,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)/(x^2*(d + e*x)), x)","F"
253,0,-1,414,0.000000,"\text{Not used}","int(log(c*(a + b/x^2)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^2}\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^2)^p)/(x^3*(d + e*x)), x)","F"
254,0,-1,714,0.000000,"\text{Not used}","int((x^3*log(c*(a + b/x^3)^p))/(d + e*x),x)","\int \frac{x^3\,\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*log(c*(a + b/x^3)^p))/(d + e*x), x)","F"
255,0,-1,666,0.000000,"\text{Not used}","int((x^2*log(c*(a + b/x^3)^p))/(d + e*x),x)","\int \frac{x^2\,\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*log(c*(a + b/x^3)^p))/(d + e*x), x)","F"
256,0,-1,488,0.000000,"\text{Not used}","int((x*log(c*(a + b/x^3)^p))/(d + e*x),x)","\int \frac{x\,\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int((x*log(c*(a + b/x^3)^p))/(d + e*x), x)","F"
257,0,-1,344,0.000000,"\text{Not used}","int(log(c*(a + b/x^3)^p)/(d + e*x),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{d+e\,x} \,d x","Not used",1,"int(log(c*(a + b/x^3)^p)/(d + e*x), x)","F"
258,0,-1,388,0.000000,"\text{Not used}","int(log(c*(a + b/x^3)^p)/(x*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^3)^p)/(x*(d + e*x)), x)","F"
259,0,-1,557,0.000000,"\text{Not used}","int(log(c*(a + b/x^3)^p)/(x^2*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^3)^p)/(x^2*(d + e*x)), x)","F"
260,0,-1,737,0.000000,"\text{Not used}","int(log(c*(a + b/x^3)^p)/(x^3*(d + e*x)),x)","\int \frac{\ln\left(c\,{\left(a+\frac{b}{x^3}\right)}^p\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int(log(c*(a + b/x^3)^p)/(x^3*(d + e*x)), x)","F"
261,0,-1,749,0.000000,"\text{Not used}","int(log(c*(d + e*x^3)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^3+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x^3)^p)/(f + g*x^2), x)","F"
262,0,-1,533,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^2), x)","F"
263,0,-1,229,0.000000,"\text{Not used}","int(log(c*(d + e*x)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,x\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x)^p)/(f + g*x^2), x)","F"
264,0,-1,360,0.000000,"\text{Not used}","int(log(c*(d + e/x)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(d+\frac{e}{x}\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e/x)^p)/(f + g*x^2), x)","F"
265,0,-1,597,0.000000,"\text{Not used}","int(log(c*(d + e/x^2)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(d+\frac{e}{x^2}\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e/x^2)^p)/(f + g*x^2), x)","F"
266,0,-1,541,0.000000,"\text{Not used}","int(log(c*(d + e*x^(1/2))^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x^(1/2))^p)/(f + g*x^2), x)","F"
267,0,-1,561,0.000000,"\text{Not used}","int(log(c*(d + e/x^(1/2))^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e/x^(1/2))^p)/(f + g*x^2), x)","F"
268,1,298,338,0.379683,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^2)^3,x)","x^3\,\left(\frac{d\,\left(\frac{6\,f\,g^2\,p}{5}-\frac{2\,d\,g^3\,p}{7\,e}\right)}{3\,e}-\frac{2\,f^2\,g\,p}{3}\right)-x\,\left(2\,f^3\,p+\frac{d\,\left(\frac{d\,\left(\frac{6\,f\,g^2\,p}{5}-\frac{2\,d\,g^3\,p}{7\,e}\right)}{e}-2\,f^2\,g\,p\right)}{e}\right)-x^5\,\left(\frac{6\,f\,g^2\,p}{25}-\frac{2\,d\,g^3\,p}{35\,e}\right)+\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(f^3\,x+f^2\,g\,x^3+\frac{3\,f\,g^2\,x^5}{5}+\frac{g^3\,x^7}{7}\right)-\frac{2\,g^3\,p\,x^7}{49}-\frac{2\,\sqrt{d}\,p\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e}\,p\,x\,\left(5\,d^3\,g^3-21\,d^2\,e\,f\,g^2+35\,d\,e^2\,f^2\,g-35\,e^3\,f^3\right)}{5\,p\,d^4\,g^3-21\,p\,d^3\,e\,f\,g^2+35\,p\,d^2\,e^2\,f^2\,g-35\,p\,d\,e^3\,f^3}\right)\,\left(5\,d^3\,g^3-21\,d^2\,e\,f\,g^2+35\,d\,e^2\,f^2\,g-35\,e^3\,f^3\right)}{35\,e^{7/2}}","Not used",1,"x^3*((d*((6*f*g^2*p)/5 - (2*d*g^3*p)/(7*e)))/(3*e) - (2*f^2*g*p)/3) - x*(2*f^3*p + (d*((d*((6*f*g^2*p)/5 - (2*d*g^3*p)/(7*e)))/e - 2*f^2*g*p))/e) - x^5*((6*f*g^2*p)/25 - (2*d*g^3*p)/(35*e)) + log(c*(d + e*x^2)^p)*(f^3*x + (g^3*x^7)/7 + f^2*g*x^3 + (3*f*g^2*x^5)/5) - (2*g^3*p*x^7)/49 - (2*d^(1/2)*p*atan((d^(1/2)*e^(1/2)*p*x*(5*d^3*g^3 - 35*e^3*f^3 + 35*d*e^2*f^2*g - 21*d^2*e*f*g^2))/(5*d^4*g^3*p - 35*d*e^3*f^3*p - 21*d^3*e*f*g^2*p + 35*d^2*e^2*f^2*g*p))*(5*d^3*g^3 - 35*e^3*f^3 + 35*d*e^2*f^2*g - 21*d^2*e*f*g^2))/(35*e^(7/2))","B"
269,1,193,221,0.338266,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(f^2\,x+\frac{2\,f\,g\,x^3}{3}+\frac{g^2\,x^5}{5}\right)-x\,\left(2\,f^2\,p-\frac{d\,\left(\frac{4\,f\,g\,p}{3}-\frac{2\,d\,g^2\,p}{5\,e}\right)}{e}\right)-x^3\,\left(\frac{4\,f\,g\,p}{9}-\frac{2\,d\,g^2\,p}{15\,e}\right)-\frac{2\,g^2\,p\,x^5}{25}+\frac{2\,\sqrt{d}\,p\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e}\,p\,x\,\left(3\,d^2\,g^2-10\,d\,e\,f\,g+15\,e^2\,f^2\right)}{3\,p\,d^3\,g^2-10\,p\,d^2\,e\,f\,g+15\,p\,d\,e^2\,f^2}\right)\,\left(3\,d^2\,g^2-10\,d\,e\,f\,g+15\,e^2\,f^2\right)}{15\,e^{5/2}}","Not used",1,"log(c*(d + e*x^2)^p)*(f^2*x + (g^2*x^5)/5 + (2*f*g*x^3)/3) - x*(2*f^2*p - (d*((4*f*g*p)/3 - (2*d*g^2*p)/(5*e)))/e) - x^3*((4*f*g*p)/9 - (2*d*g^2*p)/(15*e)) - (2*g^2*p*x^5)/25 + (2*d^(1/2)*p*atan((d^(1/2)*e^(1/2)*p*x*(3*d^2*g^2 + 15*e^2*f^2 - 10*d*e*f*g))/(3*d^3*g^2*p + 15*d*e^2*f^2*p - 10*d^2*e*f*g*p))*(3*d^2*g^2 + 15*e^2*f^2 - 10*d*e*f*g))/(15*e^(5/2))","B"
270,1,97,117,0.323881,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^3}{3}+f\,x\right)-x\,\left(2\,f\,p-\frac{2\,d\,g\,p}{3\,e}\right)-\frac{2\,g\,p\,x^3}{9}-\frac{2\,\sqrt{d}\,p\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e}\,p\,x\,\left(d\,g-3\,e\,f\right)}{d^2\,g\,p-3\,d\,e\,f\,p}\right)\,\left(d\,g-3\,e\,f\right)}{3\,e^{3/2}}","Not used",1,"log(c*(d + e*x^2)^p)*(f*x + (g*x^3)/3) - x*(2*f*p - (2*d*g*p)/(3*e)) - (2*g*p*x^3)/9 - (2*d^(1/2)*p*atan((d^(1/2)*e^(1/2)*p*x*(d*g - 3*e*f))/(d^2*g*p - 3*d*e*f*p))*(d*g - 3*e*f))/(3*e^(3/2))","B"
271,0,-1,533,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^2), x)","F"
272,0,-1,751,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^2)^2,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^2)^2, x)","F"
273,0,-1,945,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f + g*x^2)^2,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(g\,x^2+f\right)}^2 \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)^2*(f + g*x^2)^2, x)","F"
274,0,-1,548,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f + g*x^2),x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,\left(g\,x^2+f\right) \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)^2*(f + g*x^2), x)","F"
275,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2/(f + g*x^2),x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2}{g\,x^2+f} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^2/(f + g*x^2), x)","F"
276,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2/(f + g*x^2)^2,x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^2/(f + g*x^2)^2, x)","F"
277,0,-1,683,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3*(f + g*x^2),x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3\,\left(g\,x^2+f\right) \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3*(f + g*x^2), x)","F"
278,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3/(f + g*x^2),x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3}{g\,x^2+f} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3/(f + g*x^2), x)","F"
279,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3/(f + g*x^2)^2,x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3/(f + g*x^2)^2, x)","F"
280,0,-1,27,0.000000,"\text{Not used}","int((f + g*x^2)^2/log(c*(d + e*x^2)^p),x)","\int \frac{{\left(g\,x^2+f\right)}^2}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)} \,d x","Not used",0,"int((f + g*x^2)^2/log(c*(d + e*x^2)^p), x)","F"
281,0,-1,25,0.000000,"\text{Not used}","int((f + g*x^2)/log(c*(d + e*x^2)^p),x)","\int \frac{g\,x^2+f}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)} \,d x","Not used",0,"int((f + g*x^2)/log(c*(d + e*x^2)^p), x)","F"
282,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)*(f + g*x^2)),x)","\int \frac{1}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(g\,x^2+f\right)} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)*(f + g*x^2)), x)","F"
283,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)*(f + g*x^2)^2),x)","\int \frac{1}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(g\,x^2+f\right)}^2} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)*(f + g*x^2)^2), x)","F"
284,0,-1,27,0.000000,"\text{Not used}","int((f + g*x^2)^2/log(c*(d + e*x^2)^p)^2,x)","\int \frac{{\left(g\,x^2+f\right)}^2}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2} \,d x","Not used",0,"int((f + g*x^2)^2/log(c*(d + e*x^2)^p)^2, x)","F"
285,0,-1,25,0.000000,"\text{Not used}","int((f + g*x^2)/log(c*(d + e*x^2)^p)^2,x)","\int \frac{g\,x^2+f}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2} \,d x","Not used",0,"int((f + g*x^2)/log(c*(d + e*x^2)^p)^2, x)","F"
286,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^2)),x)","\int \frac{1}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,\left(g\,x^2+f\right)} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^2)), x)","F"
287,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^2)^2),x)","\int \frac{1}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(g\,x^2+f\right)}^2} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^2)^2), x)","F"
288,1,316,366,3.328463,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^3)^3,x)","\frac{g^3\,x^{10}\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{10}-2\,f^3\,p\,x-\frac{g^3\,p\,x^{10}}{50}+f^3\,x\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)+\frac{3\,f^2\,g\,x^4\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{4}+\frac{3\,f\,g^2\,x^7\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{7}-\frac{3\,f^2\,g\,p\,x^4}{8}-\frac{6\,f\,g^2\,p\,x^7}{49}+\frac{d\,g^3\,p\,x^8}{40\,e}+\frac{2\,\sqrt{d}\,f^3\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)}{\sqrt{e}}+\frac{d^5\,g^3\,p\,\ln\left(e\,x^2+d\right)}{10\,e^5}-\frac{d^2\,g^3\,p\,x^6}{30\,e^2}+\frac{d^3\,g^3\,p\,x^4}{20\,e^3}-\frac{d^4\,g^3\,p\,x^2}{10\,e^4}-\frac{6\,d^{7/2}\,f\,g^2\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)}{7\,e^{7/2}}-\frac{3\,d^2\,f^2\,g\,p\,\ln\left(e\,x^2+d\right)}{4\,e^2}-\frac{2\,d^2\,f\,g^2\,p\,x^3}{7\,e^2}+\frac{3\,d\,f^2\,g\,p\,x^2}{4\,e}+\frac{6\,d\,f\,g^2\,p\,x^5}{35\,e}+\frac{6\,d^3\,f\,g^2\,p\,x}{7\,e^3}","Not used",1,"(g^3*x^10*log(c*(d + e*x^2)^p))/10 - 2*f^3*p*x - (g^3*p*x^10)/50 + f^3*x*log(c*(d + e*x^2)^p) + (3*f^2*g*x^4*log(c*(d + e*x^2)^p))/4 + (3*f*g^2*x^7*log(c*(d + e*x^2)^p))/7 - (3*f^2*g*p*x^4)/8 - (6*f*g^2*p*x^7)/49 + (d*g^3*p*x^8)/(40*e) + (2*d^(1/2)*f^3*p*atan((e^(1/2)*x)/d^(1/2)))/e^(1/2) + (d^5*g^3*p*log(d + e*x^2))/(10*e^5) - (d^2*g^3*p*x^6)/(30*e^2) + (d^3*g^3*p*x^4)/(20*e^3) - (d^4*g^3*p*x^2)/(10*e^4) - (6*d^(7/2)*f*g^2*p*atan((e^(1/2)*x)/d^(1/2)))/(7*e^(7/2)) - (3*d^2*f^2*g*p*log(d + e*x^2))/(4*e^2) - (2*d^2*f*g^2*p*x^3)/(7*e^2) + (3*d*f^2*g*p*x^2)/(4*e) + (6*d*f*g^2*p*x^5)/(35*e) + (6*d^3*f*g^2*p*x)/(7*e^3)","B"
289,1,317,231,2.769031,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^3)^2,x)","\frac{g^2\,x^7\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{7}-2\,f^2\,p\,x-\frac{2\,g^2\,p\,x^7}{49}+f^2\,x\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)+\frac{f\,g\,x^4\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{2}-\frac{f\,g\,p\,x^4}{4}+\frac{2\,d\,g^2\,p\,x^5}{35\,e}+\frac{2\,d^3\,g^2\,p\,x}{7\,e^3}-\frac{2\,\sqrt{d}\,f^2\,p\,\mathrm{atan}\left(\frac{7\,\sqrt{d}\,e^{7/2}\,f^2\,p\,x}{d^4\,g^2\,p-7\,d\,e^3\,f^2\,p}-\frac{d^{7/2}\,\sqrt{e}\,g^2\,p\,x}{d^4\,g^2\,p-7\,d\,e^3\,f^2\,p}\right)}{\sqrt{e}}+\frac{2\,d^{7/2}\,g^2\,p\,\mathrm{atan}\left(\frac{7\,\sqrt{d}\,e^{7/2}\,f^2\,p\,x}{d^4\,g^2\,p-7\,d\,e^3\,f^2\,p}-\frac{d^{7/2}\,\sqrt{e}\,g^2\,p\,x}{d^4\,g^2\,p-7\,d\,e^3\,f^2\,p}\right)}{7\,e^{7/2}}-\frac{2\,d^2\,g^2\,p\,x^3}{21\,e^2}+\frac{d\,f\,g\,p\,x^2}{2\,e}-\frac{d^2\,f\,g\,p\,\ln\left(e\,x^2+d\right)}{2\,e^2}","Not used",1,"(g^2*x^7*log(c*(d + e*x^2)^p))/7 - 2*f^2*p*x - (2*g^2*p*x^7)/49 + f^2*x*log(c*(d + e*x^2)^p) + (f*g*x^4*log(c*(d + e*x^2)^p))/2 - (f*g*p*x^4)/4 + (2*d*g^2*p*x^5)/(35*e) + (2*d^3*g^2*p*x)/(7*e^3) - (2*d^(1/2)*f^2*p*atan((7*d^(1/2)*e^(7/2)*f^2*p*x)/(d^4*g^2*p - 7*d*e^3*f^2*p) - (d^(7/2)*e^(1/2)*g^2*p*x)/(d^4*g^2*p - 7*d*e^3*f^2*p)))/e^(1/2) + (2*d^(7/2)*g^2*p*atan((7*d^(1/2)*e^(7/2)*f^2*p*x)/(d^4*g^2*p - 7*d*e^3*f^2*p) - (d^(7/2)*e^(1/2)*g^2*p*x)/(d^4*g^2*p - 7*d*e^3*f^2*p)))/(7*e^(7/2)) - (2*d^2*g^2*p*x^3)/(21*e^2) + (d*f*g*p*x^2)/(2*e) - (d^2*f*g*p*log(d + e*x^2))/(2*e^2)","B"
290,1,94,110,0.922944,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^3),x)","f\,x\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)-\frac{g\,p\,x^4}{8}-2\,f\,p\,x+\frac{g\,x^4\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{4}+\frac{d\,g\,p\,x^2}{4\,e}+\frac{2\,\sqrt{d}\,f\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)}{\sqrt{e}}-\frac{d^2\,g\,p\,\ln\left(e\,x^2+d\right)}{4\,e^2}","Not used",1,"f*x*log(c*(d + e*x^2)^p) - (g*p*x^4)/8 - 2*f*p*x + (g*x^4*log(c*(d + e*x^2)^p))/4 + (d*g*p*x^2)/(4*e) + (2*d^(1/2)*f*p*atan((e^(1/2)*x)/d^(1/2)))/e^(1/2) - (d^2*g*p*log(d + e*x^2))/(4*e^2)","B"
291,0,-1,1165,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^3),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^3+f} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^3), x)","F"
292,0,-1,1861,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^3)^2,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^3+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^3)^2, x)","F"
293,0,-1,1221,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^3,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(g\,x^3+f\right)}^3 \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^3, x)","F"
294,0,-1,835,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^2,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(g\,x^3+f\right)}^2 \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^2, x)","F"
295,0,-1,395,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2*(f + g*x^3),x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,\left(g\,x^3+f\right) \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)^2*(f + g*x^3), x)","F"
296,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2/(f + g*x^3),x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2}{g\,x^3+f} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^2/(f + g*x^3), x)","F"
297,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^2/(f + g*x^3)^2,x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2}{{\left(g\,x^3+f\right)}^2} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^2/(f + g*x^3)^2, x)","F"
298,0,-1,1126,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3*(f + g*x^3)^2,x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3\,{\left(g\,x^3+f\right)}^2 \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3*(f + g*x^3)^2, x)","F"
299,0,-1,518,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3*(f + g*x^3),x)","\int {\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3\,\left(g\,x^3+f\right) \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3*(f + g*x^3), x)","F"
300,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3/(f + g*x^3),x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3}{g\,x^3+f} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3/(f + g*x^3), x)","F"
301,0,-1,27,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)^3/(f + g*x^3)^2,x)","\int \frac{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^3}{{\left(g\,x^3+f\right)}^2} \,d x","Not used",0,"int(log(c*(d + e*x^2)^p)^3/(f + g*x^3)^2, x)","F"
302,0,-1,27,0.000000,"\text{Not used}","int((f + g*x^3)^2/log(c*(d + e*x^2)^p),x)","\int \frac{{\left(g\,x^3+f\right)}^2}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)} \,d x","Not used",0,"int((f + g*x^3)^2/log(c*(d + e*x^2)^p), x)","F"
303,0,-1,25,0.000000,"\text{Not used}","int((f + g*x^3)/log(c*(d + e*x^2)^p),x)","\int \frac{g\,x^3+f}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)} \,d x","Not used",0,"int((f + g*x^3)/log(c*(d + e*x^2)^p), x)","F"
304,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)*(f + g*x^3)),x)","\int \frac{1}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(g\,x^3+f\right)} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)*(f + g*x^3)), x)","F"
305,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)*(f + g*x^3)^2),x)","\int \frac{1}{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(g\,x^3+f\right)}^2} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)*(f + g*x^3)^2), x)","F"
306,0,-1,27,0.000000,"\text{Not used}","int((f + g*x^3)^2/log(c*(d + e*x^2)^p)^2,x)","\int \frac{{\left(g\,x^3+f\right)}^2}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2} \,d x","Not used",0,"int((f + g*x^3)^2/log(c*(d + e*x^2)^p)^2, x)","F"
307,0,-1,25,0.000000,"\text{Not used}","int((f + g*x^3)/log(c*(d + e*x^2)^p)^2,x)","\int \frac{g\,x^3+f}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2} \,d x","Not used",0,"int((f + g*x^3)/log(c*(d + e*x^2)^p)^2, x)","F"
308,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^3)),x)","\int \frac{1}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,\left(g\,x^3+f\right)} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^3)), x)","F"
309,0,-1,27,0.000000,"\text{Not used}","int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^2),x)","\int \frac{1}{{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}^2\,{\left(g\,x^3+f\right)}^2} \,d x","Not used",0,"int(1/(log(c*(d + e*x^2)^p)^2*(f + g*x^3)^2), x)","F"
310,1,127,142,0.324474,"\text{Not used}","int(x^5*log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^8}{8}+\frac{f\,x^6}{6}\right)-x^6\,\left(\frac{f\,p}{18}-\frac{d\,g\,p}{24\,e}\right)-\frac{g\,p\,x^8}{32}-\frac{\ln\left(e\,x^2+d\right)\,\left(3\,d^4\,g\,p-4\,d^3\,e\,f\,p\right)}{24\,e^4}+\frac{d\,x^4\,\left(\frac{f\,p}{3}-\frac{d\,g\,p}{4\,e}\right)}{4\,e}-\frac{d^2\,x^2\,\left(\frac{f\,p}{3}-\frac{d\,g\,p}{4\,e}\right)}{2\,e^2}","Not used",1,"log(c*(d + e*x^2)^p)*((f*x^6)/6 + (g*x^8)/8) - x^6*((f*p)/18 - (d*g*p)/(24*e)) - (g*p*x^8)/32 - (log(d + e*x^2)*(3*d^4*g*p - 4*d^3*e*f*p))/(24*e^4) + (d*x^4*((f*p)/3 - (d*g*p)/(4*e)))/(4*e) - (d^2*x^2*((f*p)/3 - (d*g*p)/(4*e)))/(2*e^2)","B"
311,1,103,119,0.308452,"\text{Not used}","int(x^3*log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^6}{6}+\frac{f\,x^4}{4}\right)-x^4\,\left(\frac{f\,p}{8}-\frac{d\,g\,p}{12\,e}\right)-\frac{g\,p\,x^6}{18}+\frac{\ln\left(e\,x^2+d\right)\,\left(2\,d^3\,g\,p-3\,d^2\,e\,f\,p\right)}{12\,e^3}+\frac{d\,x^2\,\left(\frac{f\,p}{2}-\frac{d\,g\,p}{3\,e}\right)}{2\,e}","Not used",1,"log(c*(d + e*x^2)^p)*((f*x^4)/4 + (g*x^6)/6) - x^4*((f*p)/8 - (d*g*p)/(12*e)) - (g*p*x^6)/18 + (log(d + e*x^2)*(2*d^3*g*p - 3*d^2*e*f*p))/(12*e^3) + (d*x^2*((f*p)/2 - (d*g*p)/(3*e)))/(2*e)","B"
312,1,78,94,0.313019,"\text{Not used}","int(x*log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^4}{4}+\frac{f\,x^2}{2}\right)-x^2\,\left(\frac{f\,p}{2}-\frac{d\,g\,p}{4\,e}\right)-\frac{g\,p\,x^4}{8}-\frac{\ln\left(e\,x^2+d\right)\,\left(d^2\,g\,p-2\,d\,e\,f\,p\right)}{4\,e^2}","Not used",1,"log(c*(d + e*x^2)^p)*((f*x^2)/2 + (g*x^4)/4) - x^2*((f*p)/2 - (d*g*p)/(4*e)) - (g*p*x^4)/8 - (log(d + e*x^2)*(d^2*g*p - 2*d*e*f*p))/(4*e^2)","B"
313,0,-1,82,0.000000,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(g\,x^2+f\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x, x)","F"
314,0,-1,93,0.000000,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^3,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(g\,x^2+f\right)}{x^3} \,d x","Not used",1,"int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^3, x)","F"
315,1,85,93,0.368505,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^5,x)","\frac{\ln\left(e\,x^2+d\right)\,\left(e^2\,f\,p-2\,d\,e\,g\,p\right)}{4\,d^2}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^2}{2}+\frac{f}{4}\right)}{x^4}-\frac{\ln\left(x\right)\,\left(e^2\,f\,p-2\,d\,e\,g\,p\right)}{2\,d^2}-\frac{e\,f\,p}{4\,d\,x^2}","Not used",1,"(log(d + e*x^2)*(e^2*f*p - 2*d*e*g*p))/(4*d^2) - (log(c*(d + e*x^2)^p)*(f/4 + (g*x^2)/2))/x^4 - (log(x)*(e^2*f*p - 2*d*e*g*p))/(2*d^2) - (e*f*p)/(4*d*x^2)","B"
316,1,113,125,0.371252,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^7,x)","\frac{\ln\left(x\right)\,\left(2\,e^3\,f\,p-3\,d\,e^2\,g\,p\right)}{6\,d^3}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^2}{4}+\frac{f}{6}\right)}{x^6}-\frac{\ln\left(e\,x^2+d\right)\,\left(2\,e^3\,f\,p-3\,d\,e^2\,g\,p\right)}{12\,d^3}-\frac{\frac{e\,f\,p}{2\,d}+\frac{e\,p\,x^2\,\left(3\,d\,g-2\,e\,f\right)}{2\,d^2}}{6\,x^4}","Not used",1,"(log(x)*(2*e^3*f*p - 3*d*e^2*g*p))/(6*d^3) - (log(c*(d + e*x^2)^p)*(f/6 + (g*x^2)/4))/x^6 - (log(d + e*x^2)*(2*e^3*f*p - 3*d*e^2*g*p))/(12*d^3) - ((e*f*p)/(2*d) + (e*p*x^2*(3*d*g - 2*e*f))/(2*d^2))/(6*x^4)","B"
317,1,134,148,0.398635,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^9,x)","\frac{\ln\left(e\,x^2+d\right)\,\left(3\,e^4\,f\,p-4\,d\,e^3\,g\,p\right)}{24\,d^4}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^2}{6}+\frac{f}{8}\right)}{x^8}-\frac{\frac{e\,f\,p}{2\,d}+\frac{e\,p\,x^2\,\left(4\,d\,g-3\,e\,f\right)}{4\,d^2}-\frac{e^2\,p\,x^4\,\left(4\,d\,g-3\,e\,f\right)}{2\,d^3}}{12\,x^6}-\frac{\ln\left(x\right)\,\left(3\,e^4\,f\,p-4\,d\,e^3\,g\,p\right)}{12\,d^4}","Not used",1,"(log(d + e*x^2)*(3*e^4*f*p - 4*d*e^3*g*p))/(24*d^4) - (log(c*(d + e*x^2)^p)*(f/8 + (g*x^2)/6))/x^8 - ((e*f*p)/(2*d) + (e*p*x^2*(4*d*g - 3*e*f))/(4*d^2) - (e^2*p*x^4*(4*d*g - 3*e*f))/(2*d^3))/(12*x^6) - (log(x)*(3*e^4*f*p - 4*d*e^3*g*p))/(12*d^4)","B"
318,1,126,154,0.317624,"\text{Not used}","int(x^2*log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^5}{5}+\frac{f\,x^3}{3}\right)-x^3\,\left(\frac{2\,f\,p}{9}-\frac{2\,d\,g\,p}{15\,e}\right)-\frac{2\,g\,p\,x^5}{25}+\frac{d\,x\,\left(\frac{2\,f\,p}{3}-\frac{2\,d\,g\,p}{5\,e}\right)}{e}+\frac{2\,d^{3/2}\,p\,\mathrm{atan}\left(\frac{d^{3/2}\,\sqrt{e}\,p\,x\,\left(3\,d\,g-5\,e\,f\right)}{3\,d^3\,g\,p-5\,d^2\,e\,f\,p}\right)\,\left(3\,d\,g-5\,e\,f\right)}{15\,e^{5/2}}","Not used",1,"log(c*(d + e*x^2)^p)*((f*x^3)/3 + (g*x^5)/5) - x^3*((2*f*p)/9 - (2*d*g*p)/(15*e)) - (2*g*p*x^5)/25 + (d*x*((2*f*p)/3 - (2*d*g*p)/(5*e)))/e + (2*d^(3/2)*p*atan((d^(3/2)*e^(1/2)*p*x*(3*d*g - 5*e*f))/(3*d^3*g*p - 5*d^2*e*f*p))*(3*d*g - 5*e*f))/(15*e^(5/2))","B"
319,1,97,117,0.002115,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^2),x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^3}{3}+f\,x\right)-x\,\left(2\,f\,p-\frac{2\,d\,g\,p}{3\,e}\right)-\frac{2\,g\,p\,x^3}{9}-\frac{2\,\sqrt{d}\,p\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e}\,p\,x\,\left(d\,g-3\,e\,f\right)}{d^2\,g\,p-3\,d\,e\,f\,p}\right)\,\left(d\,g-3\,e\,f\right)}{3\,e^{3/2}}","Not used",1,"log(c*(d + e*x^2)^p)*(f*x + (g*x^3)/3) - x*(2*f*p - (2*d*g*p)/(3*e)) - (2*g*p*x^3)/9 - (2*d^(1/2)*p*atan((d^(1/2)*e^(1/2)*p*x*(d*g - 3*e*f))/(d^2*g*p - 3*d*e*f*p))*(d*g - 3*e*f))/(3*e^(3/2))","B"
320,1,83,72,0.326740,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(2\,g\,x-\frac{g\,x^2+f}{x}\right)-2\,g\,p\,x+\frac{2\,p\,\mathrm{atan}\left(\frac{2\,\sqrt{e}\,p\,x\,\left(d\,g+e\,f\right)}{\sqrt{d}\,\left(2\,d\,g\,p+2\,e\,f\,p\right)}\right)\,\left(d\,g+e\,f\right)}{\sqrt{d}\,\sqrt{e}}","Not used",1,"log(c*(d + e*x^2)^p)*(2*g*x - (f + g*x^2)/x) - 2*g*p*x + (2*p*atan((2*e^(1/2)*p*x*(d*g + e*f))/(d^(1/2)*(2*d*g*p + 2*e*f*p)))*(d*g + e*f))/(d^(1/2)*e^(1/2))","B"
321,1,65,108,0.365416,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^4,x)","\frac{2\,\sqrt{e}\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)\,\left(3\,d\,g-e\,f\right)}{3\,d^{3/2}}-\frac{2\,e\,f\,p}{3\,d\,x}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(g\,x^2+\frac{f}{3}\right)}{x^3}","Not used",1,"(2*e^(1/2)*p*atan((e^(1/2)*x)/d^(1/2))*(3*d*g - e*f))/(3*d^(3/2)) - (2*e*f*p)/(3*d*x) - (log(c*(d + e*x^2)^p)*(f/3 + g*x^2))/x^3","B"
322,1,88,140,0.376811,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2))/x^6,x)","-\frac{\frac{2\,e\,f\,p}{d}+\frac{2\,e\,p\,x^2\,\left(5\,d\,g-3\,e\,f\right)}{d^2}}{15\,x^3}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{g\,x^2}{3}+\frac{f}{5}\right)}{x^5}-\frac{2\,e^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)\,\left(5\,d\,g-3\,e\,f\right)}{15\,d^{5/2}}","Not used",1,"- ((2*e*f*p)/d + (2*e*p*x^2*(5*d*g - 3*e*f))/d^2)/(15*x^3) - (log(c*(d + e*x^2)^p)*(f/5 + (g*x^2)/3))/x^5 - (2*e^(3/2)*p*atan((e^(1/2)*x)/d^(1/2))*(5*d*g - 3*e*f))/(15*d^(5/2))","B"
323,1,224,251,0.364298,"\text{Not used}","int(x^5*log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2\,x^6}{6}+\frac{f\,g\,x^8}{4}+\frac{g^2\,x^{10}}{10}\right)-x^6\,\left(\frac{f^2\,p}{18}-\frac{d\,\left(\frac{f\,g\,p}{2}-\frac{d\,g^2\,p}{5\,e}\right)}{6\,e}\right)-x^8\,\left(\frac{f\,g\,p}{16}-\frac{d\,g^2\,p}{40\,e}\right)-\frac{g^2\,p\,x^{10}}{50}+\frac{\ln\left(e\,x^2+d\right)\,\left(6\,p\,d^5\,g^2-15\,p\,d^4\,e\,f\,g+10\,p\,d^3\,e^2\,f^2\right)}{60\,e^5}+\frac{d\,x^4\,\left(\frac{f^2\,p}{3}-\frac{d\,\left(\frac{f\,g\,p}{2}-\frac{d\,g^2\,p}{5\,e}\right)}{e}\right)}{4\,e}-\frac{d^2\,x^2\,\left(\frac{f^2\,p}{3}-\frac{d\,\left(\frac{f\,g\,p}{2}-\frac{d\,g^2\,p}{5\,e}\right)}{e}\right)}{2\,e^2}","Not used",1,"log(c*(d + e*x^2)^p)*((f^2*x^6)/6 + (g^2*x^10)/10 + (f*g*x^8)/4) - x^6*((f^2*p)/18 - (d*((f*g*p)/2 - (d*g^2*p)/(5*e)))/(6*e)) - x^8*((f*g*p)/16 - (d*g^2*p)/(40*e)) - (g^2*p*x^10)/50 + (log(d + e*x^2)*(6*d^5*g^2*p + 10*d^3*e^2*f^2*p - 15*d^4*e*f*g*p))/(60*e^5) + (d*x^4*((f^2*p)/3 - (d*((f*g*p)/2 - (d*g^2*p)/(5*e)))/e))/(4*e) - (d^2*x^2*((f^2*p)/3 - (d*((f*g*p)/2 - (d*g^2*p)/(5*e)))/e))/(2*e^2)","B"
324,1,184,210,0.342064,"\text{Not used}","int(x^3*log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2\,x^4}{4}+\frac{f\,g\,x^6}{3}+\frac{g^2\,x^8}{8}\right)-x^4\,\left(\frac{f^2\,p}{8}-\frac{d\,\left(\frac{2\,f\,g\,p}{3}-\frac{d\,g^2\,p}{4\,e}\right)}{4\,e}\right)-x^6\,\left(\frac{f\,g\,p}{9}-\frac{d\,g^2\,p}{24\,e}\right)-\frac{g^2\,p\,x^8}{32}-\frac{\ln\left(e\,x^2+d\right)\,\left(3\,p\,d^4\,g^2-8\,p\,d^3\,e\,f\,g+6\,p\,d^2\,e^2\,f^2\right)}{24\,e^4}+\frac{d\,x^2\,\left(\frac{f^2\,p}{2}-\frac{d\,\left(\frac{2\,f\,g\,p}{3}-\frac{d\,g^2\,p}{4\,e}\right)}{e}\right)}{2\,e}","Not used",1,"log(c*(d + e*x^2)^p)*((f^2*x^4)/4 + (g^2*x^8)/8 + (f*g*x^6)/3) - x^4*((f^2*p)/8 - (d*((2*f*g*p)/3 - (d*g^2*p)/(4*e)))/(4*e)) - x^6*((f*g*p)/9 - (d*g^2*p)/(24*e)) - (g^2*p*x^8)/32 - (log(d + e*x^2)*(3*d^4*g^2*p + 6*d^2*e^2*f^2*p - 8*d^3*e*f*g*p))/(24*e^4) + (d*x^2*((f^2*p)/2 - (d*((2*f*g*p)/3 - (d*g^2*p)/(4*e)))/e))/(2*e)","B"
325,1,142,124,0.334726,"\text{Not used}","int(x*log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2\,x^2}{2}+\frac{f\,g\,x^4}{2}+\frac{g^2\,x^6}{6}\right)-x^2\,\left(\frac{f^2\,p}{2}-\frac{d\,\left(f\,g\,p-\frac{d\,g^2\,p}{3\,e}\right)}{2\,e}\right)-x^4\,\left(\frac{f\,g\,p}{4}-\frac{d\,g^2\,p}{12\,e}\right)+\frac{\ln\left(e\,x^2+d\right)\,\left(p\,d^3\,g^2-3\,p\,d^2\,e\,f\,g+3\,p\,d\,e^2\,f^2\right)}{6\,e^3}-\frac{g^2\,p\,x^6}{18}","Not used",1,"log(c*(d + e*x^2)^p)*((f^2*x^2)/2 + (g^2*x^6)/6 + (f*g*x^4)/2) - x^2*((f^2*p)/2 - (d*(f*g*p - (d*g^2*p)/(3*e)))/(2*e)) - x^4*((f*g*p)/4 - (d*g^2*p)/(12*e)) + (log(d + e*x^2)*(d^3*g^2*p + 3*d*e^2*f^2*p - 3*d^2*e*f*g*p))/(6*e^3) - (g^2*p*x^6)/18","B"
326,0,-1,153,0.000000,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(g\,x^2+f\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x, x)","F"
327,0,-1,135,0.000000,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^3,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(g\,x^2+f\right)}^2}{x^3} \,d x","Not used",1,"int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^3, x)","F"
328,0,-1,172,0.000000,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^5,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,{\left(g\,x^2+f\right)}^2}{x^5} \,d x","Not used",1,"int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^5, x)","F"
329,1,151,130,0.414562,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^7,x)","\frac{\ln\left(x\right)\,\left(3\,p\,d^2\,e\,g^2-3\,p\,d\,e^2\,f\,g+p\,e^3\,f^2\right)}{3\,d^3}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2}{6}+\frac{f\,g\,x^2}{2}+\frac{g^2\,x^4}{2}\right)}{x^6}-\frac{\ln\left(e\,x^2+d\right)\,\left(3\,p\,d^2\,e\,g^2-3\,p\,d\,e^2\,f\,g+p\,e^3\,f^2\right)}{6\,d^3}-\frac{\frac{e\,f^2\,p}{4\,d}+\frac{e\,f\,p\,x^2\,\left(3\,d\,g-e\,f\right)}{2\,d^2}}{3\,x^4}","Not used",1,"(log(x)*(e^3*f^2*p + 3*d^2*e*g^2*p - 3*d*e^2*f*g*p))/(3*d^3) - (log(c*(d + e*x^2)^p)*(f^2/6 + (g^2*x^4)/2 + (f*g*x^2)/2))/x^6 - (log(d + e*x^2)*(e^3*f^2*p + 3*d^2*e*g^2*p - 3*d*e^2*f*g*p))/(6*d^3) - ((e*f^2*p)/(4*d) + (e*f*p*x^2*(3*d*g - e*f))/(2*d^2))/(3*x^4)","B"
330,1,190,216,0.426912,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^9,x)","\frac{\ln\left(e\,x^2+d\right)\,\left(6\,p\,d^2\,e^2\,g^2-8\,p\,d\,e^3\,f\,g+3\,p\,e^4\,f^2\right)}{24\,d^4}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2}{8}+\frac{f\,g\,x^2}{3}+\frac{g^2\,x^4}{4}\right)}{x^8}-\frac{\frac{e\,f^2\,p}{2\,d}+\frac{e\,p\,x^4\,\left(6\,d^2\,g^2-8\,d\,e\,f\,g+3\,e^2\,f^2\right)}{2\,d^3}+\frac{e\,f\,p\,x^2\,\left(8\,d\,g-3\,e\,f\right)}{4\,d^2}}{12\,x^6}-\frac{\ln\left(x\right)\,\left(6\,p\,d^2\,e^2\,g^2-8\,p\,d\,e^3\,f\,g+3\,p\,e^4\,f^2\right)}{12\,d^4}","Not used",1,"(log(d + e*x^2)*(3*e^4*f^2*p + 6*d^2*e^2*g^2*p - 8*d*e^3*f*g*p))/(24*d^4) - (log(c*(d + e*x^2)^p)*(f^2/8 + (g^2*x^4)/4 + (f*g*x^2)/3))/x^8 - ((e*f^2*p)/(2*d) + (e*p*x^4*(6*d^2*g^2 + 3*e^2*f^2 - 8*d*e*f*g))/(2*d^3) + (e*f*p*x^2*(8*d*g - 3*e*f))/(4*d^2))/(12*x^6) - (log(x)*(3*e^4*f^2*p + 6*d^2*e^2*g^2*p - 8*d*e^3*f*g*p))/(12*d^4)","B"
331,1,225,253,0.457524,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^11,x)","\frac{\ln\left(x\right)\,\left(10\,p\,d^2\,e^3\,g^2-15\,p\,d\,e^4\,f\,g+6\,p\,e^5\,f^2\right)}{30\,d^5}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2}{10}+\frac{f\,g\,x^2}{4}+\frac{g^2\,x^4}{6}\right)}{x^{10}}-\frac{\ln\left(e\,x^2+d\right)\,\left(10\,p\,d^2\,e^3\,g^2-15\,p\,d\,e^4\,f\,g+6\,p\,e^5\,f^2\right)}{60\,d^5}-\frac{\frac{3\,e\,f^2\,p}{4\,d}-\frac{e^2\,p\,x^6\,\left(10\,d^2\,g^2-15\,d\,e\,f\,g+6\,e^2\,f^2\right)}{2\,d^4}+\frac{e\,p\,x^4\,\left(10\,d^2\,g^2-15\,d\,e\,f\,g+6\,e^2\,f^2\right)}{4\,d^3}+\frac{e\,f\,p\,x^2\,\left(5\,d\,g-2\,e\,f\right)}{2\,d^2}}{30\,x^8}","Not used",1,"(log(x)*(6*e^5*f^2*p + 10*d^2*e^3*g^2*p - 15*d*e^4*f*g*p))/(30*d^5) - (log(c*(d + e*x^2)^p)*(f^2/10 + (g^2*x^4)/6 + (f*g*x^2)/4))/x^10 - (log(d + e*x^2)*(6*e^5*f^2*p + 10*d^2*e^3*g^2*p - 15*d*e^4*f*g*p))/(60*d^5) - ((3*e*f^2*p)/(4*d) - (e^2*p*x^6*(10*d^2*g^2 + 6*e^2*f^2 - 15*d*e*f*g))/(2*d^4) + (e*p*x^4*(10*d^2*g^2 + 6*e^2*f^2 - 15*d*e*f*g))/(4*d^3) + (e*f*p*x^2*(5*d*g - 2*e*f))/(2*d^2))/(30*x^8)","B"
332,1,235,278,0.358447,"\text{Not used}","int(x^2*log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2\,x^3}{3}+\frac{2\,f\,g\,x^5}{5}+\frac{g^2\,x^7}{7}\right)-x^3\,\left(\frac{2\,f^2\,p}{9}-\frac{d\,\left(\frac{4\,f\,g\,p}{5}-\frac{2\,d\,g^2\,p}{7\,e}\right)}{3\,e}\right)-x^5\,\left(\frac{4\,f\,g\,p}{25}-\frac{2\,d\,g^2\,p}{35\,e}\right)-\frac{2\,g^2\,p\,x^7}{49}+\frac{d\,x\,\left(\frac{2\,f^2\,p}{3}-\frac{d\,\left(\frac{4\,f\,g\,p}{5}-\frac{2\,d\,g^2\,p}{7\,e}\right)}{e}\right)}{e}-\frac{2\,d^{3/2}\,p\,\mathrm{atan}\left(\frac{d^{3/2}\,\sqrt{e}\,p\,x\,\left(15\,d^2\,g^2-42\,d\,e\,f\,g+35\,e^2\,f^2\right)}{15\,p\,d^4\,g^2-42\,p\,d^3\,e\,f\,g+35\,p\,d^2\,e^2\,f^2}\right)\,\left(15\,d^2\,g^2-42\,d\,e\,f\,g+35\,e^2\,f^2\right)}{105\,e^{7/2}}","Not used",1,"log(c*(d + e*x^2)^p)*((f^2*x^3)/3 + (g^2*x^7)/7 + (2*f*g*x^5)/5) - x^3*((2*f^2*p)/9 - (d*((4*f*g*p)/5 - (2*d*g^2*p)/(7*e)))/(3*e)) - x^5*((4*f*g*p)/25 - (2*d*g^2*p)/(35*e)) - (2*g^2*p*x^7)/49 + (d*x*((2*f^2*p)/3 - (d*((4*f*g*p)/5 - (2*d*g^2*p)/(7*e)))/e))/e - (2*d^(3/2)*p*atan((d^(3/2)*e^(1/2)*p*x*(15*d^2*g^2 + 35*e^2*f^2 - 42*d*e*f*g))/(15*d^4*g^2*p + 35*d^2*e^2*f^2*p - 42*d^3*e*f*g*p))*(15*d^2*g^2 + 35*e^2*f^2 - 42*d*e*f*g))/(105*e^(7/2))","B"
333,1,193,221,0.002209,"\text{Not used}","int(log(c*(d + e*x^2)^p)*(f + g*x^2)^2,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(f^2\,x+\frac{2\,f\,g\,x^3}{3}+\frac{g^2\,x^5}{5}\right)-x\,\left(2\,f^2\,p-\frac{d\,\left(\frac{4\,f\,g\,p}{3}-\frac{2\,d\,g^2\,p}{5\,e}\right)}{e}\right)-x^3\,\left(\frac{4\,f\,g\,p}{9}-\frac{2\,d\,g^2\,p}{15\,e}\right)-\frac{2\,g^2\,p\,x^5}{25}+\frac{2\,\sqrt{d}\,p\,\mathrm{atan}\left(\frac{\sqrt{d}\,\sqrt{e}\,p\,x\,\left(3\,d^2\,g^2-10\,d\,e\,f\,g+15\,e^2\,f^2\right)}{3\,p\,d^3\,g^2-10\,p\,d^2\,e\,f\,g+15\,p\,d\,e^2\,f^2}\right)\,\left(3\,d^2\,g^2-10\,d\,e\,f\,g+15\,e^2\,f^2\right)}{15\,e^{5/2}}","Not used",1,"log(c*(d + e*x^2)^p)*(f^2*x + (g^2*x^5)/5 + (2*f*g*x^3)/3) - x*(2*f^2*p - (d*((4*f*g*p)/3 - (2*d*g^2*p)/(5*e)))/e) - x^3*((4*f*g*p)/9 - (2*d*g^2*p)/(15*e)) - (2*g^2*p*x^5)/25 + (2*d^(1/2)*p*atan((d^(1/2)*e^(1/2)*p*x*(3*d^2*g^2 + 15*e^2*f^2 - 10*d*e*f*g))/(3*d^3*g^2*p + 15*d*e^2*f^2*p - 10*d^2*e*f*g*p))*(3*d^2*g^2 + 15*e^2*f^2 - 10*d*e*f*g))/(15*e^(5/2))","B"
334,1,180,178,0.371295,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^2,x)","\frac{2\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,p\,x\,\left(-d^2\,g^2+6\,d\,e\,f\,g+3\,e^2\,f^2\right)}{\sqrt{d}\,\left(-p\,d^2\,g^2+6\,p\,d\,e\,f\,g+3\,p\,e^2\,f^2\right)}\right)\,\left(-d^2\,g^2+6\,d\,e\,f\,g+3\,e^2\,f^2\right)}{3\,\sqrt{d}\,e^{3/2}}-x\,\left(4\,f\,g\,p-\frac{2\,d\,g^2\,p}{3\,e}\right)-\frac{2\,g^2\,p\,x^3}{9}-\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2+2\,f\,g\,x^2+g^2\,x^4}{x}-\frac{\frac{4\,g^2\,x^4}{3}+4\,f\,g\,x^2}{x}\right)","Not used",1,"(2*p*atan((e^(1/2)*p*x*(3*e^2*f^2 - d^2*g^2 + 6*d*e*f*g))/(d^(1/2)*(3*e^2*f^2*p - d^2*g^2*p + 6*d*e*f*g*p)))*(3*e^2*f^2 - d^2*g^2 + 6*d*e*f*g))/(3*d^(1/2)*e^(3/2)) - x*(4*f*g*p - (2*d*g^2*p)/(3*e)) - (2*g^2*p*x^3)/9 - log(c*(d + e*x^2)^p)*((f^2 + g^2*x^4 + 2*f*g*x^2)/x - ((4*g^2*x^4)/3 + 4*f*g*x^2)/x)","B"
335,1,108,169,0.391588,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^4,x)","\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{8\,g^2\,x}{3}-\frac{\frac{f^2}{3}+2\,f\,g\,x^2+\frac{5\,g^2\,x^4}{3}}{x^3}\right)-2\,g^2\,p\,x+\frac{2\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)\,\left(3\,d^2\,g^2+6\,d\,e\,f\,g-e^2\,f^2\right)}{3\,d^{3/2}\,\sqrt{e}}-\frac{2\,e\,f^2\,p}{3\,d\,x}","Not used",1,"log(c*(d + e*x^2)^p)*((8*g^2*x)/3 - (f^2/3 + (5*g^2*x^4)/3 + 2*f*g*x^2)/x^3) - 2*g^2*p*x + (2*p*atan((e^(1/2)*x)/d^(1/2))*(3*d^2*g^2 - e^2*f^2 + 6*d*e*f*g))/(3*d^(3/2)*e^(1/2)) - (2*e*f^2*p)/(3*d*x)","B"
336,1,115,200,0.392964,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^6,x)","\frac{2\,\sqrt{e}\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)\,\left(15\,d^2\,g^2-10\,d\,e\,f\,g+3\,e^2\,f^2\right)}{15\,d^{5/2}}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2}{5}+\frac{2\,f\,g\,x^2}{3}+g^2\,x^4\right)}{x^5}-\frac{\frac{2\,e\,f^2\,p}{d}+\frac{2\,e\,f\,p\,x^2\,\left(10\,d\,g-3\,e\,f\right)}{d^2}}{15\,x^3}","Not used",1,"(2*e^(1/2)*p*atan((e^(1/2)*x)/d^(1/2))*(15*d^2*g^2 + 3*e^2*f^2 - 10*d*e*f*g))/(15*d^(5/2)) - (log(c*(d + e*x^2)^p)*(f^2/5 + g^2*x^4 + (2*f*g*x^2)/3))/x^5 - ((2*e*f^2*p)/d + (2*e*f*p*x^2*(10*d*g - 3*e*f))/d^2)/(15*x^3)","B"
337,1,149,252,0.426007,"\text{Not used}","int((log(c*(d + e*x^2)^p)*(f + g*x^2)^2)/x^8,x)","-\frac{\frac{6\,e\,f^2\,p}{d}+\frac{2\,e\,p\,x^4\,\left(35\,d^2\,g^2-42\,d\,e\,f\,g+15\,e^2\,f^2\right)}{d^3}+\frac{2\,e\,f\,p\,x^2\,\left(14\,d\,g-5\,e\,f\right)}{d^2}}{105\,x^5}-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\,\left(\frac{f^2}{7}+\frac{2\,f\,g\,x^2}{5}+\frac{g^2\,x^4}{3}\right)}{x^7}-\frac{2\,e^{3/2}\,p\,\mathrm{atan}\left(\frac{\sqrt{e}\,x}{\sqrt{d}}\right)\,\left(35\,d^2\,g^2-42\,d\,e\,f\,g+15\,e^2\,f^2\right)}{105\,d^{7/2}}","Not used",1,"- ((6*e*f^2*p)/d + (2*e*p*x^4*(35*d^2*g^2 + 15*e^2*f^2 - 42*d*e*f*g))/d^3 + (2*e*f*p*x^2*(14*d*g - 5*e*f))/d^2)/(105*x^5) - (log(c*(d + e*x^2)^p)*(f^2/7 + (g^2*x^4)/3 + (2*f*g*x^2)/5))/x^7 - (2*e^(3/2)*p*atan((e^(1/2)*x)/d^(1/2))*(35*d^2*g^2 + 15*e^2*f^2 - 42*d*e*f*g))/(105*d^(7/2))","B"
338,0,-1,188,0.000000,"\text{Not used}","int((x^5*log(c*(d + e*x^2)^p))/(f + g*x^2),x)","\int \frac{x^5\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int((x^5*log(c*(d + e*x^2)^p))/(f + g*x^2), x)","F"
339,0,-1,112,0.000000,"\text{Not used}","int((x^3*log(c*(d + e*x^2)^p))/(f + g*x^2),x)","\int \frac{x^3\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int((x^3*log(c*(d + e*x^2)^p))/(f + g*x^2), x)","F"
340,0,-1,70,0.000000,"\text{Not used}","int((x*log(c*(d + e*x^2)^p))/(f + g*x^2),x)","\int \frac{x\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int((x*log(c*(d + e*x^2)^p))/(f + g*x^2), x)","F"
341,0,-1,119,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x*(f + g*x^2)),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x\,\left(g\,x^2+f\right)} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x*(f + g*x^2)), x)","F"
342,0,-1,176,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x^3*(f + g*x^2)),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x^3\,\left(g\,x^2+f\right)} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x^3*(f + g*x^2)), x)","F"
343,0,-1,667,0.000000,"\text{Not used}","int((x^4*log(c*(d + e*x^2)^p))/(f + g*x^2),x)","\int \frac{x^4\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int((x^4*log(c*(d + e*x^2)^p))/(f + g*x^2), x)","F"
344,0,-1,585,0.000000,"\text{Not used}","int((x^2*log(c*(d + e*x^2)^p))/(f + g*x^2),x)","\int \frac{x^2\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int((x^2*log(c*(d + e*x^2)^p))/(f + g*x^2), x)","F"
345,0,-1,533,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{g\,x^2+f} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^2), x)","F"
346,0,-1,581,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x^2*(f + g*x^2)),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x^2\,\left(g\,x^2+f\right)} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x^2*(f + g*x^2)), x)","F"
347,0,-1,651,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x^4*(f + g*x^2)),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x^4\,\left(g\,x^2+f\right)} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x^4*(f + g*x^2)), x)","F"
348,0,-1,199,0.000000,"\text{Not used}","int((x^5*log(c*(d + e*x^2)^p))/(f + g*x^2)^2,x)","\int \frac{x^5\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int((x^5*log(c*(d + e*x^2)^p))/(f + g*x^2)^2, x)","F"
349,0,-1,155,0.000000,"\text{Not used}","int((x^3*log(c*(d + e*x^2)^p))/(f + g*x^2)^2,x)","\int \frac{x^3\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int((x^3*log(c*(d + e*x^2)^p))/(f + g*x^2)^2, x)","F"
350,1,80,83,1.458377,"\text{Not used}","int((x*log(c*(d + e*x^2)^p))/(f + g*x^2)^2,x)","-\frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{2\,g\,\left(g\,x^2+f\right)}-\frac{e\,p\,\mathrm{atan}\left(\frac{x^2\,\left(d\,g\,1{}\mathrm{i}-e\,f\,1{}\mathrm{i}\right)}{2\,d\,f+d\,g\,x^2+e\,f\,x^2}\right)\,1{}\mathrm{i}}{d\,g^2-e\,f\,g}","Not used",1,"- log(c*(d + e*x^2)^p)/(2*g*(f + g*x^2)) - (e*p*atan((x^2*(d*g*1i - e*f*1i))/(2*d*f + d*g*x^2 + e*f*x^2))*1i)/(d*g^2 - e*f*g)","B"
351,0,-1,201,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x*(f + g*x^2)^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x\,{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x*(f + g*x^2)^2), x)","F"
352,0,-1,251,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x^3*(f + g*x^2)^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x^3\,{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x^3*(f + g*x^2)^2), x)","F"
353,0,-1,802,0.000000,"\text{Not used}","int((x^4*log(c*(d + e*x^2)^p))/(f + g*x^2)^2,x)","\int \frac{x^4\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int((x^4*log(c*(d + e*x^2)^p))/(f + g*x^2)^2, x)","F"
354,0,-1,746,0.000000,"\text{Not used}","int((x^2*log(c*(d + e*x^2)^p))/(f + g*x^2)^2,x)","\int \frac{x^2\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int((x^2*log(c*(d + e*x^2)^p))/(f + g*x^2)^2, x)","F"
355,0,-1,751,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(f + g*x^2)^2,x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(f + g*x^2)^2, x)","F"
356,0,-1,803,0.000000,"\text{Not used}","int(log(c*(d + e*x^2)^p)/(x^2*(f + g*x^2)^2),x)","\int \frac{\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{x^2\,{\left(g\,x^2+f\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^2)^p)/(x^2*(f + g*x^2)^2), x)","F"
357,0,-1,163,0.000000,"\text{Not used}","int(log(c*(a + b*x^2)^n)/(a + b*x^2),x)","\int \frac{\ln\left(c\,{\left(b\,x^2+a\right)}^n\right)}{b\,x^2+a} \,d x","Not used",1,"int(log(c*(a + b*x^2)^n)/(a + b*x^2), x)","F"
358,0,-1,239,0.000000,"\text{Not used}","int(-log(1 - x^2)/(x^2 - 2),x)","-\int \frac{\ln\left(1-x^2\right)}{x^2-2} \,d x","Not used",1,"-int(log(1 - x^2)/(x^2 - 2), x)","F"
359,0,-1,217,0.000000,"\text{Not used}","int(-log(d + e*x^2)/(x^2 - 1),x)","-\int \frac{\ln\left(e\,x^2+d\right)}{x^2-1} \,d x","Not used",1,"-int(log(d + e*x^2)/(x^2 - 1), x)","F"
360,0,-1,144,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^(3*n)))/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+g\,x^{3\,n}\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^(3*n)))/x, x)","F"
361,0,-1,124,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^(2*n)))/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+g\,x^{2\,n}\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^(2*n)))/x, x)","F"
362,0,-1,83,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^n))/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+g\,x^n\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^n))/x, x)","F"
363,0,-1,97,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g/x^n))/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+\frac{g}{x^n}\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g/x^n))/x, x)","F"
364,0,-1,126,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g/x^(2*n)))/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,\left(f+\frac{g}{x^{2\,n}}\right)}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g/x^(2*n)))/x, x)","F"
365,0,-1,327,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^(3*n))^2)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x^{3\,n}\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^(3*n))^2)/x, x)","F"
366,0,-1,254,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^(2*n))^2)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x^{2\,n}\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^(2*n))^2)/x, x)","F"
367,0,-1,176,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g*x^n)^2)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+g\,x^n\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g*x^n)^2)/x, x)","F"
368,0,-1,193,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g/x^n)^2)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+\frac{g}{x^n}\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g/x^n)^2)/x, x)","F"
369,0,-1,257,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)*(f + g/x^(2*n))^2)/x,x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)\,{\left(f+\frac{g}{x^{2\,n}}\right)}^2}{x} \,d x","Not used",1,"int((log(c*(d + e*x^n)^p)*(f + g/x^(2*n))^2)/x, x)","F"
370,0,-1,266,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g*x^(2*n))),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,\left(f+g\,x^{2\,n}\right)} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g*x^(2*n))), x)","F"
371,0,-1,121,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g*x^n)),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,\left(f+g\,x^n\right)} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g*x^n)), x)","F"
372,0,-1,70,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g/x^n)),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,\left(f+\frac{g}{x^n}\right)} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g/x^n)), x)","F"
373,0,-1,221,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g/x^(2*n))),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,\left(f+\frac{g}{x^{2\,n}}\right)} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g/x^(2*n))), x)","F"
374,0,-1,419,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g*x^(2*n))^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,{\left(f+g\,x^{2\,n}\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g*x^(2*n))^2), x)","F"
375,0,-1,204,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g*x^n)^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,{\left(f+g\,x^n\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g*x^n)^2), x)","F"
376,0,-1,156,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g/x^n)^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,{\left(f+\frac{g}{x^n}\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g/x^n)^2), x)","F"
377,0,-1,377,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)/(x*(f + g/x^(2*n))^2),x)","\int \frac{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}{x\,{\left(f+\frac{g}{x^{2\,n}}\right)}^2} \,d x","Not used",1,"int(log(c*(d + e*x^n)^p)/(x*(f + g/x^(2*n))^2), x)","F"
378,0,-1,25,0.000000,"\text{Not used}","int(log(c*(d + e*x^n))/(x*(c*e + (c*d - 1)/x^n)),x)","\int \frac{\ln\left(c\,\left(d+e\,x^n\right)\right)}{x\,\left(c\,e+\frac{c\,d-1}{x^n}\right)} \,d x","Not used",1,"int(log(c*(d + e*x^n))/(x*(c*e + (c*d - 1)/x^n)), x)","F"
379,1,21,25,0.647159,"\text{Not used}","int((x^(n - 1)*log(c*(d + e*x^n)))/(c*d + c*e*x^n - 1),x)","-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(c\,\left(d+e\,x^n\right)\right)}{c\,e\,n}","Not used",1,"-dilog(c*(d + e*x^n))/(c*e*n)","B"
380,0,-1,26,0.000000,"\text{Not used}","int(log(c*(d + e/x^n))/(x*(c*e + x^n*(c*d - 1))),x)","\int \frac{\ln\left(c\,\left(d+\frac{e}{x^n}\right)\right)}{x\,\left(c\,e+x^n\,\left(c\,d-1\right)\right)} \,d x","Not used",1,"int(log(c*(d + e/x^n))/(x*(c*e + x^n*(c*d - 1))), x)","F"
381,0,-1,608,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)^q*(f + g*x^(2*n))^2)/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q\,{\left(f+g\,x^{2\,n}\right)}^2}{x} \,d x","Not used",0,"int((log(c*(d + e*x^n)^p)^q*(f + g*x^(2*n))^2)/x, x)","F"
382,0,-1,307,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)^q*(f + g*x^n)^2)/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q\,{\left(f+g\,x^n\right)}^2}{x} \,d x","Not used",0,"int((log(c*(d + e*x^n)^p)^q*(f + g*x^n)^2)/x, x)","F"
383,0,-1,32,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)^q*(f + g/x^n)^2)/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q\,{\left(f+\frac{g}{x^n}\right)}^2}{x} \,d x","Not used",0,"int((log(c*(d + e*x^n)^p)^q*(f + g/x^n)^2)/x, x)","F"
384,0,-1,32,0.000000,"\text{Not used}","int((log(c*(d + e*x^n)^p)^q*(f + g/x^(2*n))^2)/x,x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q\,{\left(f+\frac{g}{x^{2\,n}}\right)}^2}{x} \,d x","Not used",0,"int((log(c*(d + e*x^n)^p)^q*(f + g/x^(2*n))^2)/x, x)","F"
385,0,-1,32,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^q/(x*(f + g*x^(2*n))),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q}{x\,\left(f+g\,x^{2\,n}\right)} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)^q/(x*(f + g*x^(2*n))), x)","F"
386,0,-1,30,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^q/(x*(f + g*x^n)),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q}{x\,\left(f+g\,x^n\right)} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)^q/(x*(f + g*x^n)), x)","F"
387,0,-1,32,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^q/(x*(f + g/x^n)),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q}{x\,\left(f+\frac{g}{x^n}\right)} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)^q/(x*(f + g/x^n)), x)","F"
388,0,-1,32,0.000000,"\text{Not used}","int(log(c*(d + e*x^n)^p)^q/(x*(f + g/x^(2*n))),x)","\int \frac{{\ln\left(c\,{\left(d+e\,x^n\right)}^p\right)}^q}{x\,\left(f+\frac{g}{x^{2\,n}}\right)} \,d x","Not used",0,"int(log(c*(d + e*x^n)^p)^q/(x*(f + g/x^(2*n))), x)","F"
389,0,-1,69,0.000000,"\text{Not used}","int((log(d + e*x^m)*log(x))/x,x)","\int \frac{\ln\left(d+e\,x^m\right)\,\ln\left(x\right)}{x} \,d x","Not used",1,"int((log(d + e*x^m)*log(x))/x, x)","F"
390,1,8,8,0.313751,"\text{Not used}","int(log((a + x)/x)/x,x)","\mathrm{polylog}\left(2,-\frac{a}{x}\right)","Not used",1,"polylog(2, -a/x)","B"
391,1,10,12,0.289024,"\text{Not used}","int(log((a + x^2)/x^2)/x,x)","\frac{\mathrm{polylog}\left(2,-\frac{a}{x^2}\right)}{2}","Not used",1,"polylog(2, -a/x^2)/2","B"
392,0,-1,14,0.000000,"\text{Not used}","int(log((a + x^n)/x^n)/x,x)","\int \frac{\ln\left(\frac{a+x^n}{x^n}\right)}{x} \,d x","Not used",1,"int(log((a + x^n)/x^n)/x, x)","F"
393,1,37,35,0.406164,"\text{Not used}","int(log((a + b*x)/x)/x,x)","-\mathrm{polylog}\left(2,\frac{a}{b\,x}+1\right)-\ln\left(\frac{a+b\,x}{x}\right)\,\ln\left(-\frac{a}{b\,x}\right)","Not used",1,"- polylog(2, a/(b*x) + 1) - log((a + b*x)/x)*log(-a/(b*x))","B"
394,1,33,39,0.440292,"\text{Not used}","int(log((a + b*x^2)/x^2)/x,x)","-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(-\frac{a}{b\,x^2}\right)}{2}-\frac{\ln\left(b+\frac{a}{x^2}\right)\,\ln\left(-\frac{a}{b\,x^2}\right)}{2}","Not used",1,"- dilog(-a/(b*x^2))/2 - (log(b + a/x^2)*log(-a/(b*x^2)))/2","B"
395,0,-1,47,0.000000,"\text{Not used}","int(log((a + b*x^n)/x^n)/x,x)","\int \frac{\ln\left(\frac{a+b\,x^n}{x^n}\right)}{x} \,d x","Not used",1,"int(log((a + b*x^n)/x^n)/x, x)","F"
396,0,-1,105,0.000000,"\text{Not used}","int(log((a + b*x)/x)/(c + d*x),x)","\int \frac{\ln\left(\frac{a+b\,x}{x}\right)}{c+d\,x} \,d x","Not used",1,"int(log((a + b*x)/x)/(c + d*x), x)","F"
397,0,-1,227,0.000000,"\text{Not used}","int(log((a + b*x^2)/x^2)/(c + d*x),x)","\int \frac{\ln\left(\frac{b\,x^2+a}{x^2}\right)}{c+d\,x} \,d x","Not used",1,"int(log((a + b*x^2)/x^2)/(c + d*x), x)","F"
398,0,-1,21,0.000000,"\text{Not used}","int(log((a + b*x^n)/x^n)/(c + d*x),x)","\int \frac{\ln\left(\frac{a+b\,x^n}{x^n}\right)}{c+d\,x} \,d x","Not used",0,"int(log((a + b*x^n)/x^n)/(c + d*x), x)","F"
399,0,-1,92,0.000000,"\text{Not used}","int((f*x)^q*(a + b*log(c*(d + e*x^m)^n)),x)","\int {\left(f\,x\right)}^q\,\left(a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)\right) \,d x","Not used",1,"int((f*x)^q*(a + b*log(c*(d + e*x^m)^n)), x)","F"
400,1,137,166,0.513527,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/2))^n)),x)","\frac{a\,x^4}{4}-\frac{b\,n\,x^4}{32}+\frac{b\,x^4\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{4}+\frac{b\,d\,n\,x^{7/2}}{28\,e}-\frac{b\,d^6\,n\,x}{8\,e^6}-\frac{b\,d^8\,n\,\ln\left(d+e\,\sqrt{x}\right)}{4\,e^8}-\frac{b\,d^2\,n\,x^3}{24\,e^2}-\frac{b\,d^4\,n\,x^2}{16\,e^4}+\frac{b\,d^3\,n\,x^{5/2}}{20\,e^3}+\frac{b\,d^5\,n\,x^{3/2}}{12\,e^5}+\frac{b\,d^7\,n\,\sqrt{x}}{4\,e^7}","Not used",1,"(a*x^4)/4 - (b*n*x^4)/32 + (b*x^4*log(c*(d + e*x^(1/2))^n))/4 + (b*d*n*x^(7/2))/(28*e) - (b*d^6*n*x)/(8*e^6) - (b*d^8*n*log(d + e*x^(1/2)))/(4*e^8) - (b*d^2*n*x^3)/(24*e^2) - (b*d^4*n*x^2)/(16*e^4) + (b*d^3*n*x^(5/2))/(20*e^3) + (b*d^5*n*x^(3/2))/(12*e^5) + (b*d^7*n*x^(1/2))/(4*e^7)","B"
401,1,111,134,0.420655,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/2))^n)),x)","\frac{a\,x^3}{3}-\frac{b\,n\,x^3}{18}+\frac{b\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3}+\frac{b\,d\,n\,x^{5/2}}{15\,e}-\frac{b\,d^4\,n\,x}{6\,e^4}-\frac{b\,d^6\,n\,\ln\left(d+e\,\sqrt{x}\right)}{3\,e^6}-\frac{b\,d^2\,n\,x^2}{12\,e^2}+\frac{b\,d^3\,n\,x^{3/2}}{9\,e^3}+\frac{b\,d^5\,n\,\sqrt{x}}{3\,e^5}","Not used",1,"(a*x^3)/3 - (b*n*x^3)/18 + (b*x^3*log(c*(d + e*x^(1/2))^n))/3 + (b*d*n*x^(5/2))/(15*e) - (b*d^4*n*x)/(6*e^4) - (b*d^6*n*log(d + e*x^(1/2)))/(3*e^6) - (b*d^2*n*x^2)/(12*e^2) + (b*d^3*n*x^(3/2))/(9*e^3) + (b*d^5*n*x^(1/2))/(3*e^5)","B"
402,1,85,102,0.409131,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/2))^n)),x)","\frac{a\,x^2}{2}-\frac{b\,n\,x^2}{8}+\frac{b\,x^2\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{2}-\frac{b\,d^2\,n\,x}{4\,e^2}+\frac{b\,d\,n\,x^{3/2}}{6\,e}-\frac{b\,d^4\,n\,\ln\left(d+e\,\sqrt{x}\right)}{2\,e^4}+\frac{b\,d^3\,n\,\sqrt{x}}{2\,e^3}","Not used",1,"(a*x^2)/2 - (b*n*x^2)/8 + (b*x^2*log(c*(d + e*x^(1/2))^n))/2 - (b*d^2*n*x)/(4*e^2) + (b*d*n*x^(3/2))/(6*e) - (b*d^4*n*log(d + e*x^(1/2)))/(2*e^4) + (b*d^3*n*x^(1/2))/(2*e^3)","B"
403,1,52,60,0.431468,"\text{Not used}","int(a + b*log(c*(d + e*x^(1/2))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)-\frac{b\,n\,\left(e^2\,x+2\,d^2\,\ln\left(d+e\,\sqrt{x}\right)-2\,d\,e\,\sqrt{x}\right)}{2\,e^2}","Not used",1,"a*x + b*x*log(c*(d + e*x^(1/2))^n) - (b*n*(e^2*x + 2*d^2*log(d + e*x^(1/2)) - 2*d*e*x^(1/2)))/(2*e^2)","B"
404,0,-1,51,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))/x, x)","F"
405,1,58,70,0.801624,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))/x^2,x)","\frac{2\,b\,e^2\,n\,\mathrm{atanh}\left(\frac{2\,e\,\sqrt{x}}{d}+1\right)}{d^2}-\frac{b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{x}-\frac{b\,e\,n}{d\,\sqrt{x}}-\frac{a}{x}","Not used",1,"(2*b*e^2*n*atanh((2*e*x^(1/2))/d + 1))/d^2 - (b*log(c*(d + e*x^(1/2))^n))/x - (b*e*n)/(d*x^(1/2)) - a/x","B"
406,1,83,109,0.633816,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))/x^3,x)","\frac{b\,e^4\,n\,\mathrm{atanh}\left(\frac{2\,e\,\sqrt{x}}{d}+1\right)}{d^4}-\frac{\frac{b\,e\,n}{3\,d}+\frac{b\,e^3\,n\,x}{d^3}-\frac{b\,e^2\,n\,\sqrt{x}}{2\,d^2}}{2\,x^{3/2}}-\frac{b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{2\,x^2}-\frac{a}{2\,x^2}","Not used",1,"(b*e^4*n*atanh((2*e*x^(1/2))/d + 1))/d^4 - ((b*e*n)/(3*d) + (b*e^3*n*x)/d^3 - (b*e^2*n*x^(1/2))/(2*d^2))/(2*x^(3/2)) - (b*log(c*(d + e*x^(1/2))^n))/(2*x^2) - a/(2*x^2)","B"
407,1,110,141,0.755546,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))/x^4,x)","\frac{2\,b\,e^6\,n\,\mathrm{atanh}\left(\frac{2\,e\,\sqrt{x}}{d}+1\right)}{3\,d^6}-\frac{\frac{b\,e\,n}{5\,d}+\frac{b\,e^3\,n\,x}{3\,d^3}-\frac{b\,e^2\,n\,\sqrt{x}}{4\,d^2}+\frac{b\,e^5\,n\,x^2}{d^5}-\frac{b\,e^4\,n\,x^{3/2}}{2\,d^4}}{3\,x^{5/2}}-\frac{b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3\,x^3}-\frac{a}{3\,x^3}","Not used",1,"(2*b*e^6*n*atanh((2*e*x^(1/2))/d + 1))/(3*d^6) - ((b*e*n)/(5*d) + (b*e^3*n*x)/(3*d^3) - (b*e^2*n*x^(1/2))/(4*d^2) + (b*e^5*n*x^2)/d^5 - (b*e^4*n*x^(3/2))/(2*d^4))/(3*x^(5/2)) - (b*log(c*(d + e*x^(1/2))^n))/(3*x^3) - a/(3*x^3)","B"
408,1,434,480,1.781691,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/2))^n))^2,x)","\frac{a^2\,x^3}{3}+\frac{b^2\,x^3\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{3}+\frac{b^2\,n^2\,x^3}{54}+\frac{2\,a\,b\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3}-\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{3\,e^6}-\frac{a\,b\,n\,x^3}{9}-\frac{b^2\,n\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{9}+\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+e\,\sqrt{x}\right)}{30\,e^6}+\frac{37\,b^2\,d^2\,n^2\,x^2}{360\,e^2}-\frac{19\,b^2\,d^3\,n^2\,x^{3/2}}{90\,e^3}-\frac{49\,b^2\,d^5\,n^2\,\sqrt{x}}{30\,e^5}-\frac{11\,b^2\,d\,n^2\,x^{5/2}}{225\,e}+\frac{29\,b^2\,d^4\,n^2\,x}{60\,e^4}-\frac{b^2\,d^2\,n\,x^2\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{6\,e^2}+\frac{2\,b^2\,d^3\,n\,x^{3/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{9\,e^3}+\frac{2\,b^2\,d^5\,n\,\sqrt{x}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3\,e^5}+\frac{2\,a\,b\,d\,n\,x^{5/2}}{15\,e}-\frac{a\,b\,d^4\,n\,x}{3\,e^4}-\frac{2\,a\,b\,d^6\,n\,\ln\left(d+e\,\sqrt{x}\right)}{3\,e^6}+\frac{2\,b^2\,d\,n\,x^{5/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{15\,e}-\frac{b^2\,d^4\,n\,x\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3\,e^4}-\frac{a\,b\,d^2\,n\,x^2}{6\,e^2}+\frac{2\,a\,b\,d^3\,n\,x^{3/2}}{9\,e^3}+\frac{2\,a\,b\,d^5\,n\,\sqrt{x}}{3\,e^5}","Not used",1,"(a^2*x^3)/3 + (b^2*x^3*log(c*(d + e*x^(1/2))^n)^2)/3 + (b^2*n^2*x^3)/54 + (2*a*b*x^3*log(c*(d + e*x^(1/2))^n))/3 - (b^2*d^6*log(c*(d + e*x^(1/2))^n)^2)/(3*e^6) - (a*b*n*x^3)/9 - (b^2*n*x^3*log(c*(d + e*x^(1/2))^n))/9 + (49*b^2*d^6*n^2*log(d + e*x^(1/2)))/(30*e^6) + (37*b^2*d^2*n^2*x^2)/(360*e^2) - (19*b^2*d^3*n^2*x^(3/2))/(90*e^3) - (49*b^2*d^5*n^2*x^(1/2))/(30*e^5) - (11*b^2*d*n^2*x^(5/2))/(225*e) + (29*b^2*d^4*n^2*x)/(60*e^4) - (b^2*d^2*n*x^2*log(c*(d + e*x^(1/2))^n))/(6*e^2) + (2*b^2*d^3*n*x^(3/2)*log(c*(d + e*x^(1/2))^n))/(9*e^3) + (2*b^2*d^5*n*x^(1/2)*log(c*(d + e*x^(1/2))^n))/(3*e^5) + (2*a*b*d*n*x^(5/2))/(15*e) - (a*b*d^4*n*x)/(3*e^4) - (2*a*b*d^6*n*log(d + e*x^(1/2)))/(3*e^6) + (2*b^2*d*n*x^(5/2)*log(c*(d + e*x^(1/2))^n))/(15*e) - (b^2*d^4*n*x*log(c*(d + e*x^(1/2))^n))/(3*e^4) - (a*b*d^2*n*x^2)/(6*e^2) + (2*a*b*d^3*n*x^(3/2))/(9*e^3) + (2*a*b*d^5*n*x^(1/2))/(3*e^5)","B"
409,1,420,342,0.563196,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/2))^n))^2,x)","x\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{3\,e}\right)}{2\,e}+\frac{b^2\,d^2\,n^2}{4\,e^2}\right)-x^{3/2}\,\left(\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{3\,e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{9\,e}\right)+{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2\,\left(\frac{b^2\,x^2}{2}-\frac{b^2\,d^4}{2\,e^4}\right)+x^2\,\left(\frac{a^2}{2}-\frac{a\,b\,n}{4}+\frac{b^2\,n^2}{16}\right)-\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\,\left(x^{3/2}\,\left(\frac{b\,d\,\left(4\,a-b\,n\right)}{3\,e}-\frac{4\,a\,b\,d}{3\,e}\right)-\frac{b\,x^2\,\left(4\,a-b\,n\right)}{4}+\frac{d^2\,\sqrt{x}\,\left(\frac{b\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}\right)}{e^2}-\frac{d\,x\,\left(\frac{b\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}\right)}{2\,e}\right)-\sqrt{x}\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{3\,e}\right)}{e}+\frac{b^2\,d^2\,n^2}{2\,e^2}\right)}{e}+\frac{b^2\,d^3\,n^2}{e^3}\right)+\frac{\ln\left(d+e\,\sqrt{x}\right)\,\left(25\,b^2\,d^4\,n^2-12\,a\,b\,d^4\,n\right)}{12\,e^4}","Not used",1,"x*((d*((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/e - (d*(6*a^2 - b^2*n^2))/(3*e)))/(2*e) + (b^2*d^2*n^2)/(4*e^2)) - x^(3/2)*((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/(3*e) - (d*(6*a^2 - b^2*n^2))/(9*e)) + log(c*(d + e*x^(1/2))^n)^2*((b^2*x^2)/2 - (b^2*d^4)/(2*e^4)) + x^2*(a^2/2 + (b^2*n^2)/16 - (a*b*n)/4) - log(c*(d + e*x^(1/2))^n)*(x^(3/2)*((b*d*(4*a - b*n))/(3*e) - (4*a*b*d)/(3*e)) - (b*x^2*(4*a - b*n))/4 + (d^2*x^(1/2)*((b*d*(4*a - b*n))/e - (4*a*b*d)/e))/e^2 - (d*x*((b*d*(4*a - b*n))/e - (4*a*b*d)/e))/(2*e)) - x^(1/2)*((d*((d*((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/e - (d*(6*a^2 - b^2*n^2))/(3*e)))/e + (b^2*d^2*n^2)/(2*e^2)))/e + (b^2*d^3*n^2)/e^3) + (log(d + e*x^(1/2))*(25*b^2*d^4*n^2 - 12*a*b*d^4*n))/(12*e^4)","B"
410,1,186,195,0.474084,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^2,x)","x\,\left(a^2-a\,b\,n+\frac{b^2\,n^2}{2}\right)-\sqrt{x}\,\left(\frac{d\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{e}-\frac{2\,d\,\left(a^2-b^2\,n^2\right)}{e}\right)+{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2\,\left(b^2\,x-\frac{b^2\,d^2}{e^2}\right)-\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\,\left(\sqrt{x}\,\left(\frac{2\,b\,d\,\left(2\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}\right)-b\,x\,\left(2\,a-b\,n\right)\right)+\frac{\ln\left(d+e\,\sqrt{x}\right)\,\left(3\,b^2\,d^2\,n^2-2\,a\,b\,d^2\,n\right)}{e^2}","Not used",1,"x*(a^2 + (b^2*n^2)/2 - a*b*n) - x^(1/2)*((d*(2*a^2 + b^2*n^2 - 2*a*b*n))/e - (2*d*(a^2 - b^2*n^2))/e) + log(c*(d + e*x^(1/2))^n)^2*(b^2*x - (b^2*d^2)/e^2) - log(c*(d + e*x^(1/2))^n)*(x^(1/2)*((2*b*d*(2*a - b*n))/e - (4*a*b*d)/e) - b*x*(2*a - b*n)) + (log(d + e*x^(1/2))*(3*b^2*d^2*n^2 - 2*a*b*d^2*n))/e^2","B"
411,0,-1,93,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^2/x, x)","F"
412,0,-1,155,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^2, x)","F"
413,0,-1,293,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^3, x)","F"
414,0,-1,408,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^2/x^4, x)","F"
415,1,976,907,8.179612,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/2))^n))^3,x)","\frac{a^3\,x^3}{3}+\frac{b^3\,x^3\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^3}{3}-\frac{b^3\,n^3\,x^3}{108}+a\,b^2\,x^3\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2-\frac{b^3\,n\,x^3\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{6}+\frac{b^3\,n^2\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{18}+\frac{a\,b^2\,n^2\,x^3}{18}-\frac{b^3\,d^6\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^3}{3\,e^6}+a^2\,b\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)-\frac{a^2\,b\,n\,x^3}{6}-\frac{a\,b^2\,n\,x^3\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3}-\frac{13489\,b^3\,d^6\,n^3\,\ln\left(d+e\,\sqrt{x}\right)}{1800\,e^6}-\frac{919\,b^3\,d^2\,n^3\,x^2}{7200\,e^2}+\frac{2059\,b^3\,d^3\,n^3\,x^{3/2}}{5400\,e^3}+\frac{13489\,b^3\,d^5\,n^3\,\sqrt{x}}{1800\,e^5}-\frac{a\,b^2\,d^6\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{e^6}+\frac{49\,b^3\,d^6\,n\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{20\,e^6}+\frac{91\,b^3\,d\,n^3\,x^{5/2}}{2250\,e}-\frac{4669\,b^3\,d^4\,n^3\,x}{3600\,e^4}-\frac{a^2\,b\,d^6\,n\,\ln\left(d+e\,\sqrt{x}\right)}{e^6}+\frac{b^3\,d\,n\,x^{5/2}\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{5\,e}-\frac{11\,b^3\,d\,n^2\,x^{5/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{75\,e}-\frac{b^3\,d^4\,n\,x\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{2\,e^4}+\frac{29\,b^3\,d^4\,n^2\,x\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{20\,e^4}-\frac{a^2\,b\,d^2\,n\,x^2}{4\,e^2}-\frac{11\,a\,b^2\,d\,n^2\,x^{5/2}}{75\,e}+\frac{29\,a\,b^2\,d^4\,n^2\,x}{20\,e^4}+\frac{a^2\,b\,d^3\,n\,x^{3/2}}{3\,e^3}+\frac{a^2\,b\,d^5\,n\,\sqrt{x}}{e^5}+\frac{49\,a\,b^2\,d^6\,n^2\,\ln\left(d+e\,\sqrt{x}\right)}{10\,e^6}-\frac{b^3\,d^2\,n\,x^2\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{4\,e^2}+\frac{37\,b^3\,d^2\,n^2\,x^2\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{120\,e^2}+\frac{b^3\,d^3\,n\,x^{3/2}\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{3\,e^3}-\frac{19\,b^3\,d^3\,n^2\,x^{3/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{30\,e^3}+\frac{b^3\,d^5\,n\,\sqrt{x}\,{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2}{e^5}-\frac{49\,b^3\,d^5\,n^2\,\sqrt{x}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{10\,e^5}+\frac{37\,a\,b^2\,d^2\,n^2\,x^2}{120\,e^2}-\frac{19\,a\,b^2\,d^3\,n^2\,x^{3/2}}{30\,e^3}-\frac{49\,a\,b^2\,d^5\,n^2\,\sqrt{x}}{10\,e^5}+\frac{a^2\,b\,d\,n\,x^{5/2}}{5\,e}-\frac{a^2\,b\,d^4\,n\,x}{2\,e^4}+\frac{2\,a\,b^2\,d\,n\,x^{5/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{5\,e}-\frac{a\,b^2\,d^4\,n\,x\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{e^4}-\frac{a\,b^2\,d^2\,n\,x^2\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{2\,e^2}+\frac{2\,a\,b^2\,d^3\,n\,x^{3/2}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{3\,e^3}+\frac{2\,a\,b^2\,d^5\,n\,\sqrt{x}\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}{e^5}","Not used",1,"(a^3*x^3)/3 + (b^3*x^3*log(c*(d + e*x^(1/2))^n)^3)/3 - (b^3*n^3*x^3)/108 + a*b^2*x^3*log(c*(d + e*x^(1/2))^n)^2 - (b^3*n*x^3*log(c*(d + e*x^(1/2))^n)^2)/6 + (b^3*n^2*x^3*log(c*(d + e*x^(1/2))^n))/18 + (a*b^2*n^2*x^3)/18 - (b^3*d^6*log(c*(d + e*x^(1/2))^n)^3)/(3*e^6) + a^2*b*x^3*log(c*(d + e*x^(1/2))^n) - (a^2*b*n*x^3)/6 - (a*b^2*n*x^3*log(c*(d + e*x^(1/2))^n))/3 - (13489*b^3*d^6*n^3*log(d + e*x^(1/2)))/(1800*e^6) - (919*b^3*d^2*n^3*x^2)/(7200*e^2) + (2059*b^3*d^3*n^3*x^(3/2))/(5400*e^3) + (13489*b^3*d^5*n^3*x^(1/2))/(1800*e^5) - (a*b^2*d^6*log(c*(d + e*x^(1/2))^n)^2)/e^6 + (49*b^3*d^6*n*log(c*(d + e*x^(1/2))^n)^2)/(20*e^6) + (91*b^3*d*n^3*x^(5/2))/(2250*e) - (4669*b^3*d^4*n^3*x)/(3600*e^4) - (a^2*b*d^6*n*log(d + e*x^(1/2)))/e^6 + (b^3*d*n*x^(5/2)*log(c*(d + e*x^(1/2))^n)^2)/(5*e) - (11*b^3*d*n^2*x^(5/2)*log(c*(d + e*x^(1/2))^n))/(75*e) - (b^3*d^4*n*x*log(c*(d + e*x^(1/2))^n)^2)/(2*e^4) + (29*b^3*d^4*n^2*x*log(c*(d + e*x^(1/2))^n))/(20*e^4) - (a^2*b*d^2*n*x^2)/(4*e^2) - (11*a*b^2*d*n^2*x^(5/2))/(75*e) + (29*a*b^2*d^4*n^2*x)/(20*e^4) + (a^2*b*d^3*n*x^(3/2))/(3*e^3) + (a^2*b*d^5*n*x^(1/2))/e^5 + (49*a*b^2*d^6*n^2*log(d + e*x^(1/2)))/(10*e^6) - (b^3*d^2*n*x^2*log(c*(d + e*x^(1/2))^n)^2)/(4*e^2) + (37*b^3*d^2*n^2*x^2*log(c*(d + e*x^(1/2))^n))/(120*e^2) + (b^3*d^3*n*x^(3/2)*log(c*(d + e*x^(1/2))^n)^2)/(3*e^3) - (19*b^3*d^3*n^2*x^(3/2)*log(c*(d + e*x^(1/2))^n))/(30*e^3) + (b^3*d^5*n*x^(1/2)*log(c*(d + e*x^(1/2))^n)^2)/e^5 - (49*b^3*d^5*n^2*x^(1/2)*log(c*(d + e*x^(1/2))^n))/(10*e^5) + (37*a*b^2*d^2*n^2*x^2)/(120*e^2) - (19*a*b^2*d^3*n^2*x^(3/2))/(30*e^3) - (49*a*b^2*d^5*n^2*x^(1/2))/(10*e^5) + (a^2*b*d*n*x^(5/2))/(5*e) - (a^2*b*d^4*n*x)/(2*e^4) + (2*a*b^2*d*n*x^(5/2)*log(c*(d + e*x^(1/2))^n))/(5*e) - (a*b^2*d^4*n*x*log(c*(d + e*x^(1/2))^n))/e^4 - (a*b^2*d^2*n*x^2*log(c*(d + e*x^(1/2))^n))/(2*e^2) + (2*a*b^2*d^3*n*x^(3/2)*log(c*(d + e*x^(1/2))^n))/(3*e^3) + (2*a*b^2*d^5*n*x^(1/2)*log(c*(d + e*x^(1/2))^n))/e^5","B"
416,1,840,595,0.771413,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/2))^n))^3,x)","{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^3\,\left(\frac{b^3\,x^2}{2}-\frac{b^3\,d^4}{2\,e^4}\right)-x^{3/2}\,\left(\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{3\,e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{36\,e}\right)-{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2\,\left(\frac{x^{3/2}\,\left(\frac{b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b^2\,d}{e}\right)}{2}-\frac{3\,b^2\,x^2\,\left(4\,a-b\,n\right)}{8}+\frac{d\,\left(12\,a\,b^2\,d^3-25\,b^3\,d^3\,n\right)}{8\,e^4}+\frac{d^2\,\sqrt{x}\,\left(\frac{6\,b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{24\,a\,b^2\,d}{e}\right)}{4\,e^2}-\frac{d\,x\,\left(\frac{6\,b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{24\,a\,b^2\,d}{e}\right)}{8\,e}\right)+x\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{12\,e}\right)}{2\,e}+\frac{b^2\,d^2\,n^2\,\left(12\,a-13\,b\,n\right)}{16\,e^2}\right)-\sqrt{x}\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{12\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(12\,a-13\,b\,n\right)}{8\,e^2}\right)}{e}+\frac{b^2\,d^3\,n^2\,\left(12\,a-25\,b\,n\right)}{4\,e^3}\right)+x^2\,\left(\frac{a^3}{2}-\frac{3\,a^2\,b\,n}{8}+\frac{3\,a\,b^2\,n^2}{16}-\frac{3\,b^3\,n^3}{64}\right)+\frac{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\,\left(\frac{x^{3/2}\,\left(16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)\right)}{12\,e^2}-\frac{x\,\left(\frac{d\,\left(16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)\right)}{e}-24\,b^3\,d^2\,e^2\,n^2\right)}{8\,e^2}+\frac{\sqrt{x}\,\left(\frac{d\,\left(\frac{d\,\left(16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)\right)}{e}-24\,b^3\,d^2\,e^2\,n^2\right)}{e}-48\,b^3\,d^3\,e\,n^2\right)}{4\,e^2}+\frac{3\,b\,e^2\,x^2\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)}{4}\right)}{4\,e^2}-\frac{\ln\left(d+e\,\sqrt{x}\right)\,\left(72\,a^2\,b\,d^4\,n-300\,a\,b^2\,d^4\,n^2+415\,b^3\,d^4\,n^3\right)}{48\,e^4}","Not used",1,"log(c*(d + e*x^(1/2))^n)^3*((b^3*x^2)/2 - (b^3*d^4)/(2*e^4)) - x^(3/2)*((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/(3*e) - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(36*e)) - log(c*(d + e*x^(1/2))^n)^2*((x^(3/2)*((b^2*d*(4*a - b*n))/e - (4*a*b^2*d)/e))/2 - (3*b^2*x^2*(4*a - b*n))/8 + (d*(12*a*b^2*d^3 - 25*b^3*d^3*n))/(8*e^4) + (d^2*x^(1/2)*((6*b^2*d*(4*a - b*n))/e - (24*a*b^2*d)/e))/(4*e^2) - (d*x*((6*b^2*d*(4*a - b*n))/e - (24*a*b^2*d)/e))/(8*e)) + x*((d*((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/e - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(12*e)))/(2*e) + (b^2*d^2*n^2*(12*a - 13*b*n))/(16*e^2)) - x^(1/2)*((d*((d*((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/e - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(12*e)))/e + (b^2*d^2*n^2*(12*a - 13*b*n))/(8*e^2)))/e + (b^2*d^3*n^2*(12*a - 25*b*n))/(4*e^3)) + x^2*(a^3/2 - (3*b^3*n^3)/64 + (3*a*b^2*n^2)/16 - (3*a^2*b*n)/8) + (log(c*(d + e*x^(1/2))^n)*((x^(3/2)*(16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n)))/(12*e^2) - (x*((d*(16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n)))/e - 24*b^3*d^2*e^2*n^2))/(8*e^2) + (x^(1/2)*((d*((d*(16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n)))/e - 24*b^3*d^2*e^2*n^2))/e - 48*b^3*d^3*e*n^2))/(4*e^2) + (3*b*e^2*x^2*(8*a^2 + b^2*n^2 - 4*a*b*n))/4))/(4*e^2) - (log(d + e*x^(1/2))*(415*b^3*d^4*n^3 - 300*a*b^2*d^4*n^2 + 72*a^2*b*d^4*n))/(48*e^4)","B"
417,1,350,284,0.602373,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^3,x)","x\,\left(a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{2}-\frac{3\,b^3\,n^3}{4}\right)-\sqrt{x}\,\left(\frac{d\,\left(2\,a^3-3\,a^2\,b\,n+3\,a\,b^2\,n^2-\frac{3\,b^3\,n^3}{2}\right)}{e}-\frac{d\,\left(2\,a^3-6\,a\,b^2\,n^2+9\,b^3\,n^3\right)}{e}\right)+{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^3\,\left(b^3\,x-\frac{b^3\,d^2}{e^2}\right)-\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\,\left(\sqrt{x}\,\left(\frac{3\,b\,d\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{e}-\frac{6\,b\,d\,\left(a^2-b^2\,n^2\right)}{e}\right)-\frac{3\,b\,x\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{2}\right)-{\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)}^2\,\left(\sqrt{x}\,\left(\frac{3\,b^2\,d\,\left(2\,a-b\,n\right)}{e}-\frac{6\,a\,b^2\,d}{e}\right)+\frac{3\,d\,\left(2\,a\,b^2\,d-3\,b^3\,d\,n\right)}{2\,e^2}-\frac{3\,b^2\,x\,\left(2\,a-b\,n\right)}{2}\right)-\frac{\ln\left(d+e\,\sqrt{x}\right)\,\left(6\,a^2\,b\,d^2\,n-18\,a\,b^2\,d^2\,n^2+21\,b^3\,d^2\,n^3\right)}{2\,e^2}","Not used",1,"x*(a^3 - (3*b^3*n^3)/4 + (3*a*b^2*n^2)/2 - (3*a^2*b*n)/2) - x^(1/2)*((d*(2*a^3 - (3*b^3*n^3)/2 + 3*a*b^2*n^2 - 3*a^2*b*n))/e - (d*(2*a^3 + 9*b^3*n^3 - 6*a*b^2*n^2))/e) + log(c*(d + e*x^(1/2))^n)^3*(b^3*x - (b^3*d^2)/e^2) - log(c*(d + e*x^(1/2))^n)*(x^(1/2)*((3*b*d*(2*a^2 + b^2*n^2 - 2*a*b*n))/e - (6*b*d*(a^2 - b^2*n^2))/e) - (3*b*x*(2*a^2 + b^2*n^2 - 2*a*b*n))/2) - log(c*(d + e*x^(1/2))^n)^2*(x^(1/2)*((3*b^2*d*(2*a - b*n))/e - (6*a*b^2*d)/e) + (3*d*(2*a*b^2*d - 3*b^3*d*n))/(2*e^2) - (3*b^2*x*(2*a - b*n))/2) - (log(d + e*x^(1/2))*(21*b^3*d^2*n^3 - 18*a*b^2*d^2*n^2 + 6*a^2*b*d^2*n))/(2*e^2)","B"
418,0,-1,135,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^3/x, x)","F"
419,0,-1,263,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^3/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^3/x^2, x)","F"
420,0,-1,573,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^n))^3/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^n\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^n))^3/x^3, x)","F"
421,1,140,171,0.977008,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(1/2))^n)),x)","\frac{\frac{b\,d\,e^7\,n\,\sqrt{x}}{4}-\frac{b\,d^2\,e^6\,n\,x}{8}+\frac{b\,d^7\,e\,n\,x^{7/2}}{28}-\frac{b\,d^4\,e^4\,n\,x^2}{16}-\frac{b\,d^6\,e^2\,n\,x^3}{24}+\frac{b\,d^3\,e^5\,n\,x^{3/2}}{12}+\frac{b\,d^5\,e^3\,n\,x^{5/2}}{20}+\frac{b\,e^8\,n\,\mathrm{atan}\left(\frac{d\,1{}\mathrm{i}+\frac{e\,2{}\mathrm{i}}{\sqrt{x}}}{d}\right)\,1{}\mathrm{i}}{2}}{d^8}+\frac{a\,x^4}{4}+\frac{b\,x^4\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{4}","Not used",1,"((b*e^8*n*atan((d*1i + (e*2i)/x^(1/2))/d)*1i)/2 - (b*d^2*e^6*n*x)/8 + (b*d*e^7*n*x^(1/2))/4 + (b*d^7*e*n*x^(7/2))/28 - (b*d^4*e^4*n*x^2)/16 - (b*d^6*e^2*n*x^3)/24 + (b*d^3*e^5*n*x^(3/2))/12 + (b*d^5*e^3*n*x^(5/2))/20)/d^8 + (a*x^4)/4 + (b*x^4*log(c*(d + e/x^(1/2))^n))/4","B"
422,1,106,139,0.693789,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(1/2))^n)),x)","\frac{a\,x^3}{3}+\frac{b\,\left(60\,d^6\,x^3\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)-120\,e^6\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,\sqrt{x}}+1\right)-15\,d^4\,e^2\,n\,x^2+20\,d^3\,e^3\,n\,x^{3/2}-30\,d^2\,e^4\,n\,x+60\,d\,e^5\,n\,\sqrt{x}+12\,d^5\,e\,n\,x^{5/2}\right)}{180\,d^6}","Not used",1,"(a*x^3)/3 + (b*(60*d^6*x^3*log(c*(d + e/x^(1/2))^n) - 120*e^6*n*atanh((2*e)/(d*x^(1/2)) + 1) - 15*d^4*e^2*n*x^2 + 20*d^3*e^3*n*x^(3/2) - 30*d^2*e^4*n*x + 60*d*e^5*n*x^(1/2) + 12*d^5*e*n*x^(5/2)))/(180*d^6)","B"
423,1,86,107,0.830985,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/2))^n)),x)","\frac{x^{3/2}\,\left(\frac{b\,e\,n}{3\,d}-\frac{b\,e^2\,n}{2\,d^2\,\sqrt{x}}+\frac{b\,e^3\,n}{d^3\,x}\right)}{2}+\frac{a\,x^2}{2}+\frac{b\,x^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{2}-\frac{b\,e^4\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,\sqrt{x}}+1\right)}{d^4}","Not used",1,"(x^(3/2)*((b*e*n)/(3*d) - (b*e^2*n)/(2*d^2*x^(1/2)) + (b*e^3*n)/(d^3*x)))/2 + (a*x^2)/2 + (b*x^2*log(c*(d + e/x^(1/2))^n))/2 - (b*e^4*n*atanh((2*e)/(d*x^(1/2)) + 1))/d^4","B"
424,1,44,53,0.380437,"\text{Not used}","int(a + b*log(c*(d + e/x^(1/2))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)-\frac{b\,e\,n\,\left(e\,\ln\left(e+d\,\sqrt{x}\right)-d\,\sqrt{x}\right)}{d^2}","Not used",1,"a*x + b*x*log(c*(d + e/x^(1/2))^n) - (b*e*n*(e*log(e + d*x^(1/2)) - d*x^(1/2)))/d^2","B"
425,0,-1,51,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^n))/x, x)","F"
426,1,60,65,0.425014,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))/x^2,x)","\frac{b\,n}{2\,x}-\frac{a}{x}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{x}-\frac{b\,d\,n}{e\,\sqrt{x}}+\frac{b\,d^2\,n\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{e^2}","Not used",1,"(b*n)/(2*x) - a/x - (b*log(c*(d + e/x^(1/2))^n))/x - (b*d*n)/(e*x^(1/2)) + (b*d^2*n*log(d + e/x^(1/2)))/e^2","B"
427,1,87,104,0.416741,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))/x^3,x)","\frac{b\,n}{8\,x^2}-\frac{a}{2\,x^2}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{2\,x^2}-\frac{b\,d\,n}{6\,e\,x^{3/2}}+\frac{b\,d^4\,n\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{2\,e^4}+\frac{b\,d^2\,n}{4\,e^2\,x}-\frac{b\,d^3\,n}{2\,e^3\,\sqrt{x}}","Not used",1,"(b*n)/(8*x^2) - a/(2*x^2) - (b*log(c*(d + e/x^(1/2))^n))/(2*x^2) - (b*d*n)/(6*e*x^(3/2)) + (b*d^4*n*log(d + e/x^(1/2)))/(2*e^4) + (b*d^2*n)/(4*e^2*x) - (b*d^3*n)/(2*e^3*x^(1/2))","B"
428,1,113,136,0.441829,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))/x^4,x)","\frac{b\,n}{18\,x^3}-\frac{a}{3\,x^3}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,x^3}-\frac{b\,d\,n}{15\,e\,x^{5/2}}+\frac{b\,d^6\,n\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{3\,e^6}+\frac{b\,d^2\,n}{12\,e^2\,x^2}+\frac{b\,d^4\,n}{6\,e^4\,x}-\frac{b\,d^3\,n}{9\,e^3\,x^{3/2}}-\frac{b\,d^5\,n}{3\,e^5\,\sqrt{x}}","Not used",1,"(b*n)/(18*x^3) - a/(3*x^3) - (b*log(c*(d + e/x^(1/2))^n))/(3*x^3) - (b*d*n)/(15*e*x^(5/2)) + (b*d^6*n*log(d + e/x^(1/2)))/(3*e^6) + (b*d^2*n)/(12*e^2*x^2) + (b*d^4*n)/(6*e^4*x) - (b*d^3*n)/(9*e^3*x^(3/2)) - (b*d^5*n)/(3*e^5*x^(1/2))","B"
429,0,-1,404,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(1/2))^n))^2,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e/x^(1/2))^n))^2, x)","F"
430,0,-1,288,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/2))^n))^2,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(1/2))^n))^2, x)","F"
431,0,-1,152,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^2,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^n))^2, x)","F"
432,0,-1,93,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^n))^2/x, x)","F"
433,1,193,195,0.474405,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^2/x^2,x)","\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\,\left(\frac{\frac{2\,b\,d\,\left(2\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}}{\sqrt{x}}-\frac{b\,\left(2\,a-b\,n\right)}{x}\right)-{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2\,\left(\frac{b^2}{x}-\frac{b^2\,d^2}{e^2}\right)+\frac{\frac{d\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{e}-\frac{2\,d\,\left(a^2-b^2\,n^2\right)}{e}}{\sqrt{x}}-\frac{a^2-a\,b\,n+\frac{b^2\,n^2}{2}}{x}-\frac{\ln\left(d+\frac{e}{\sqrt{x}}\right)\,\left(3\,b^2\,d^2\,n^2-2\,a\,b\,d^2\,n\right)}{e^2}","Not used",1,"log(c*(d + e/x^(1/2))^n)*(((2*b*d*(2*a - b*n))/e - (4*a*b*d)/e)/x^(1/2) - (b*(2*a - b*n))/x) - log(c*(d + e/x^(1/2))^n)^2*(b^2/x - (b^2*d^2)/e^2) + ((d*(2*a^2 + b^2*n^2 - 2*a*b*n))/e - (2*d*(a^2 - b^2*n^2))/e)/x^(1/2) - (a^2 + (b^2*n^2)/2 - a*b*n)/x - (log(d + e/x^(1/2))*(3*b^2*d^2*n^2 - 2*a*b*d^2*n))/e^2","B"
434,1,424,341,0.558995,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^2/x^3,x)","\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\,\left(\frac{\frac{b\,d\,\left(4\,a-b\,n\right)}{3\,e}-\frac{4\,a\,b\,d}{3\,e}}{x^{3/2}}-\frac{b\,\left(4\,a-b\,n\right)}{4\,x^2}-\frac{d\,\left(\frac{b\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}\right)}{2\,e\,x}+\frac{d^2\,\left(\frac{b\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b\,d}{e}\right)}{e^2\,\sqrt{x}}\right)+\frac{\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{3\,e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{9\,e}}{x^{3/2}}-{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2\,\left(\frac{b^2}{2\,x^2}-\frac{b^2\,d^4}{2\,e^4}\right)-\frac{\frac{a^2}{2}-\frac{a\,b\,n}{4}+\frac{b^2\,n^2}{16}}{x^2}-\frac{\frac{d\,\left(\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{3\,e}\right)}{2\,e}+\frac{b^2\,d^2\,n^2}{4\,e^2}}{x}+\frac{\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^2-a\,b\,n+\frac{b^2\,n^2}{4}\right)}{e}-\frac{d\,\left(6\,a^2-b^2\,n^2\right)}{3\,e}\right)}{e}+\frac{b^2\,d^2\,n^2}{2\,e^2}\right)}{e}+\frac{b^2\,d^3\,n^2}{e^3}}{\sqrt{x}}-\frac{\ln\left(d+\frac{e}{\sqrt{x}}\right)\,\left(25\,b^2\,d^4\,n^2-12\,a\,b\,d^4\,n\right)}{12\,e^4}","Not used",1,"log(c*(d + e/x^(1/2))^n)*(((b*d*(4*a - b*n))/(3*e) - (4*a*b*d)/(3*e))/x^(3/2) - (b*(4*a - b*n))/(4*x^2) - (d*((b*d*(4*a - b*n))/e - (4*a*b*d)/e))/(2*e*x) + (d^2*((b*d*(4*a - b*n))/e - (4*a*b*d)/e))/(e^2*x^(1/2))) + ((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/(3*e) - (d*(6*a^2 - b^2*n^2))/(9*e))/x^(3/2) - log(c*(d + e/x^(1/2))^n)^2*(b^2/(2*x^2) - (b^2*d^4)/(2*e^4)) - (a^2/2 + (b^2*n^2)/16 - (a*b*n)/4)/x^2 - ((d*((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/e - (d*(6*a^2 - b^2*n^2))/(3*e)))/(2*e) + (b^2*d^2*n^2)/(4*e^2))/x + ((d*((d*((d*(2*a^2 + (b^2*n^2)/4 - a*b*n))/e - (d*(6*a^2 - b^2*n^2))/(3*e)))/e + (b^2*d^2*n^2)/(2*e^2)))/e + (b^2*d^3*n^2)/e^3)/x^(1/2) - (log(d + e/x^(1/2))*(25*b^2*d^4*n^2 - 12*a*b*d^4*n))/(12*e^4)","B"
435,1,440,480,1.772472,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^2/x^4,x)","\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{3\,e^6}-\frac{b^2\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{3\,x^3}-\frac{b^2\,n^2}{54\,x^3}-\frac{2\,a\,b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,x^3}-\frac{a^2}{3\,x^3}+\frac{a\,b\,n}{9\,x^3}+\frac{b^2\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{9\,x^3}-\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{30\,e^6}-\frac{37\,b^2\,d^2\,n^2}{360\,e^2\,x^2}-\frac{29\,b^2\,d^4\,n^2}{60\,e^4\,x}+\frac{19\,b^2\,d^3\,n^2}{90\,e^3\,x^{3/2}}+\frac{49\,b^2\,d^5\,n^2}{30\,e^5\,\sqrt{x}}+\frac{11\,b^2\,d\,n^2}{225\,e\,x^{5/2}}+\frac{b^2\,d^2\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{6\,e^2\,x^2}+\frac{b^2\,d^4\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,e^4\,x}-\frac{2\,b^2\,d^3\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{9\,e^3\,x^{3/2}}-\frac{2\,b^2\,d^5\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,e^5\,\sqrt{x}}-\frac{2\,a\,b\,d\,n}{15\,e\,x^{5/2}}+\frac{2\,a\,b\,d^6\,n\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{3\,e^6}-\frac{2\,b^2\,d\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{15\,e\,x^{5/2}}+\frac{a\,b\,d^2\,n}{6\,e^2\,x^2}+\frac{a\,b\,d^4\,n}{3\,e^4\,x}-\frac{2\,a\,b\,d^3\,n}{9\,e^3\,x^{3/2}}-\frac{2\,a\,b\,d^5\,n}{3\,e^5\,\sqrt{x}}","Not used",1,"(b^2*d^6*log(c*(d + e/x^(1/2))^n)^2)/(3*e^6) - (b^2*log(c*(d + e/x^(1/2))^n)^2)/(3*x^3) - (b^2*n^2)/(54*x^3) - (2*a*b*log(c*(d + e/x^(1/2))^n))/(3*x^3) - a^2/(3*x^3) + (a*b*n)/(9*x^3) + (b^2*n*log(c*(d + e/x^(1/2))^n))/(9*x^3) - (49*b^2*d^6*n^2*log(d + e/x^(1/2)))/(30*e^6) - (37*b^2*d^2*n^2)/(360*e^2*x^2) - (29*b^2*d^4*n^2)/(60*e^4*x) + (19*b^2*d^3*n^2)/(90*e^3*x^(3/2)) + (49*b^2*d^5*n^2)/(30*e^5*x^(1/2)) + (11*b^2*d*n^2)/(225*e*x^(5/2)) + (b^2*d^2*n*log(c*(d + e/x^(1/2))^n))/(6*e^2*x^2) + (b^2*d^4*n*log(c*(d + e/x^(1/2))^n))/(3*e^4*x) - (2*b^2*d^3*n*log(c*(d + e/x^(1/2))^n))/(9*e^3*x^(3/2)) - (2*b^2*d^5*n*log(c*(d + e/x^(1/2))^n))/(3*e^5*x^(1/2)) - (2*a*b*d*n)/(15*e*x^(5/2)) + (2*a*b*d^6*n*log(d + e/x^(1/2)))/(3*e^6) - (2*b^2*d*n*log(c*(d + e/x^(1/2))^n))/(15*e*x^(5/2)) + (a*b*d^2*n)/(6*e^2*x^2) + (a*b*d^4*n)/(3*e^4*x) - (2*a*b*d^3*n)/(9*e^3*x^(3/2)) - (2*a*b*d^5*n)/(3*e^5*x^(1/2))","B"
436,0,-1,569,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/2))^n))^3,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(1/2))^n))^3, x)","F"
437,0,-1,260,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^3,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^n))^3, x)","F"
438,0,-1,135,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^n))^3/x, x)","F"
439,1,357,285,0.624943,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^3/x^2,x)","\frac{\frac{d\,\left(2\,a^3-3\,a^2\,b\,n+3\,a\,b^2\,n^2-\frac{3\,b^3\,n^3}{2}\right)}{e}-\frac{d\,\left(2\,a^3-6\,a\,b^2\,n^2+9\,b^3\,n^3\right)}{e}}{\sqrt{x}}-{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^3\,\left(\frac{b^3}{x}-\frac{b^3\,d^2}{e^2}\right)+\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\,\left(\frac{\frac{3\,b\,d\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{e}-\frac{6\,b\,d\,\left(a^2-b^2\,n^2\right)}{e}}{\sqrt{x}}-\frac{3\,b\,\left(2\,a^2-2\,a\,b\,n+b^2\,n^2\right)}{2\,x}\right)+{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2\,\left(\frac{\frac{3\,b^2\,d\,\left(2\,a-b\,n\right)}{e}-\frac{6\,a\,b^2\,d}{e}}{\sqrt{x}}-\frac{3\,b^2\,\left(2\,a-b\,n\right)}{2\,x}+\frac{3\,d\,\left(2\,a\,b^2\,d-3\,b^3\,d\,n\right)}{2\,e^2}\right)-\frac{a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{2}-\frac{3\,b^3\,n^3}{4}}{x}+\frac{\ln\left(d+\frac{e}{\sqrt{x}}\right)\,\left(6\,a^2\,b\,d^2\,n-18\,a\,b^2\,d^2\,n^2+21\,b^3\,d^2\,n^3\right)}{2\,e^2}","Not used",1,"((d*(2*a^3 - (3*b^3*n^3)/2 + 3*a*b^2*n^2 - 3*a^2*b*n))/e - (d*(2*a^3 + 9*b^3*n^3 - 6*a*b^2*n^2))/e)/x^(1/2) - log(c*(d + e/x^(1/2))^n)^3*(b^3/x - (b^3*d^2)/e^2) + log(c*(d + e/x^(1/2))^n)*(((3*b*d*(2*a^2 + b^2*n^2 - 2*a*b*n))/e - (6*b*d*(a^2 - b^2*n^2))/e)/x^(1/2) - (3*b*(2*a^2 + b^2*n^2 - 2*a*b*n))/(2*x)) + log(c*(d + e/x^(1/2))^n)^2*(((3*b^2*d*(2*a - b*n))/e - (6*a*b^2*d)/e)/x^(1/2) - (3*b^2*(2*a - b*n))/(2*x) + (3*d*(2*a*b^2*d - 3*b^3*d*n))/(2*e^2)) - (a^3 - (3*b^3*n^3)/4 + (3*a*b^2*n^2)/2 - (3*a^2*b*n)/2)/x + (log(d + e/x^(1/2))*(21*b^3*d^2*n^3 - 18*a*b^2*d^2*n^2 + 6*a^2*b*d^2*n))/(2*e^2)","B"
440,1,846,595,0.799676,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^3/x^3,x)","\frac{\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{3\,e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{36\,e}}{x^{3/2}}-{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^3\,\left(\frac{b^3}{2\,x^2}-\frac{b^3\,d^4}{2\,e^4}\right)+\frac{\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{12\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(12\,a-13\,b\,n\right)}{8\,e^2}\right)}{e}+\frac{b^2\,d^3\,n^2\,\left(12\,a-25\,b\,n\right)}{4\,e^3}}{\sqrt{x}}+{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2\,\left(\frac{\frac{b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{4\,a\,b^2\,d}{e}}{2\,x^{3/2}}-\frac{3\,b^2\,\left(4\,a-b\,n\right)}{8\,x^2}+\frac{d\,\left(12\,a\,b^2\,d^3-25\,b^3\,d^3\,n\right)}{8\,e^4}-\frac{d\,\left(\frac{6\,b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{24\,a\,b^2\,d}{e}\right)}{8\,e\,x}+\frac{d^2\,\left(\frac{6\,b^2\,d\,\left(4\,a-b\,n\right)}{e}-\frac{24\,a\,b^2\,d}{e}\right)}{4\,e^2\,\sqrt{x}}\right)-\frac{\frac{d\,\left(\frac{d\,\left(2\,a^3-\frac{3\,a^2\,b\,n}{2}+\frac{3\,a\,b^2\,n^2}{4}-\frac{3\,b^3\,n^3}{16}\right)}{e}-\frac{d\,\left(24\,a^3-12\,a\,b^2\,n^2+7\,b^3\,n^3\right)}{12\,e}\right)}{2\,e}+\frac{b^2\,d^2\,n^2\,\left(12\,a-13\,b\,n\right)}{16\,e^2}}{x}-\frac{\frac{a^3}{2}-\frac{3\,a^2\,b\,n}{8}+\frac{3\,a\,b^2\,n^2}{16}-\frac{3\,b^3\,n^3}{64}}{x^2}-\frac{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)\,\left(\frac{16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)}{12\,e^2\,x^{3/2}}+\frac{\frac{d\,\left(\frac{d\,\left(16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)\right)}{e}-24\,b^3\,d^2\,e^2\,n^2\right)}{e}-48\,b^3\,d^3\,e\,n^2}{4\,e^2\,\sqrt{x}}-\frac{\frac{d\,\left(16\,b\,d\,e^3\,\left(6\,a^2-b^2\,n^2\right)-12\,b\,d\,e^3\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)\right)}{e}-24\,b^3\,d^2\,e^2\,n^2}{8\,e^2\,x}+\frac{3\,b\,e^2\,\left(8\,a^2-4\,a\,b\,n+b^2\,n^2\right)}{4\,x^2}\right)}{4\,e^2}+\frac{\ln\left(d+\frac{e}{\sqrt{x}}\right)\,\left(72\,a^2\,b\,d^4\,n-300\,a\,b^2\,d^4\,n^2+415\,b^3\,d^4\,n^3\right)}{48\,e^4}","Not used",1,"((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/(3*e) - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(36*e))/x^(3/2) - log(c*(d + e/x^(1/2))^n)^3*(b^3/(2*x^2) - (b^3*d^4)/(2*e^4)) + ((d*((d*((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/e - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(12*e)))/e + (b^2*d^2*n^2*(12*a - 13*b*n))/(8*e^2)))/e + (b^2*d^3*n^2*(12*a - 25*b*n))/(4*e^3))/x^(1/2) + log(c*(d + e/x^(1/2))^n)^2*(((b^2*d*(4*a - b*n))/e - (4*a*b^2*d)/e)/(2*x^(3/2)) - (3*b^2*(4*a - b*n))/(8*x^2) + (d*(12*a*b^2*d^3 - 25*b^3*d^3*n))/(8*e^4) - (d*((6*b^2*d*(4*a - b*n))/e - (24*a*b^2*d)/e))/(8*e*x) + (d^2*((6*b^2*d*(4*a - b*n))/e - (24*a*b^2*d)/e))/(4*e^2*x^(1/2))) - ((d*((d*(2*a^3 - (3*b^3*n^3)/16 + (3*a*b^2*n^2)/4 - (3*a^2*b*n)/2))/e - (d*(24*a^3 + 7*b^3*n^3 - 12*a*b^2*n^2))/(12*e)))/(2*e) + (b^2*d^2*n^2*(12*a - 13*b*n))/(16*e^2))/x - (a^3/2 - (3*b^3*n^3)/64 + (3*a*b^2*n^2)/16 - (3*a^2*b*n)/8)/x^2 - (log(c*(d + e/x^(1/2))^n)*((16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n))/(12*e^2*x^(3/2)) + ((d*((d*(16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n)))/e - 24*b^3*d^2*e^2*n^2))/e - 48*b^3*d^3*e*n^2)/(4*e^2*x^(1/2)) - ((d*(16*b*d*e^3*(6*a^2 - b^2*n^2) - 12*b*d*e^3*(8*a^2 + b^2*n^2 - 4*a*b*n)))/e - 24*b^3*d^2*e^2*n^2)/(8*e^2*x) + (3*b*e^2*(8*a^2 + b^2*n^2 - 4*a*b*n))/(4*x^2)))/(4*e^2) + (log(d + e/x^(1/2))*(415*b^3*d^4*n^3 - 300*a*b^2*d^4*n^2 + 72*a^2*b*d^4*n))/(48*e^4)","B"
441,1,989,907,8.178733,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^n))^3/x^4,x)","\frac{b^3\,n^3}{108\,x^3}-\frac{b^3\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^3}{3\,x^3}-\frac{a^3}{3\,x^3}-\frac{a\,b^2\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{x^3}+\frac{b^3\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{6\,x^3}-\frac{b^3\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{18\,x^3}-\frac{a\,b^2\,n^2}{18\,x^3}+\frac{b^3\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^3}{3\,e^6}-\frac{a^2\,b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{x^3}+\frac{a^2\,b\,n}{6\,x^3}+\frac{a\,b^2\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,x^3}+\frac{13489\,b^3\,d^6\,n^3\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{1800\,e^6}+\frac{919\,b^3\,d^2\,n^3}{7200\,e^2\,x^2}+\frac{4669\,b^3\,d^4\,n^3}{3600\,e^4\,x}-\frac{2059\,b^3\,d^3\,n^3}{5400\,e^3\,x^{3/2}}-\frac{13489\,b^3\,d^5\,n^3}{1800\,e^5\,\sqrt{x}}+\frac{a\,b^2\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{e^6}-\frac{49\,b^3\,d^6\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{20\,e^6}-\frac{91\,b^3\,d\,n^3}{2250\,e\,x^{5/2}}+\frac{a^2\,b\,d^6\,n\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{e^6}-\frac{b^3\,d\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{5\,e\,x^{5/2}}+\frac{11\,b^3\,d\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{75\,e\,x^{5/2}}+\frac{a^2\,b\,d^2\,n}{4\,e^2\,x^2}+\frac{a^2\,b\,d^4\,n}{2\,e^4\,x}+\frac{11\,a\,b^2\,d\,n^2}{75\,e\,x^{5/2}}-\frac{a^2\,b\,d^3\,n}{3\,e^3\,x^{3/2}}-\frac{a^2\,b\,d^5\,n}{e^5\,\sqrt{x}}-\frac{49\,a\,b^2\,d^6\,n^2\,\ln\left(d+\frac{e}{\sqrt{x}}\right)}{10\,e^6}+\frac{b^3\,d^2\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{4\,e^2\,x^2}-\frac{37\,b^3\,d^2\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{120\,e^2\,x^2}+\frac{b^3\,d^4\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{2\,e^4\,x}-\frac{29\,b^3\,d^4\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{20\,e^4\,x}-\frac{b^3\,d^3\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{3\,e^3\,x^{3/2}}+\frac{19\,b^3\,d^3\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{30\,e^3\,x^{3/2}}-\frac{b^3\,d^5\,n\,{\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}^2}{e^5\,\sqrt{x}}+\frac{49\,b^3\,d^5\,n^2\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{10\,e^5\,\sqrt{x}}-\frac{37\,a\,b^2\,d^2\,n^2}{120\,e^2\,x^2}-\frac{29\,a\,b^2\,d^4\,n^2}{20\,e^4\,x}+\frac{19\,a\,b^2\,d^3\,n^2}{30\,e^3\,x^{3/2}}+\frac{49\,a\,b^2\,d^5\,n^2}{10\,e^5\,\sqrt{x}}-\frac{a^2\,b\,d\,n}{5\,e\,x^{5/2}}-\frac{2\,a\,b^2\,d\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{5\,e\,x^{5/2}}+\frac{a\,b^2\,d^2\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{2\,e^2\,x^2}+\frac{a\,b^2\,d^4\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{e^4\,x}-\frac{2\,a\,b^2\,d^3\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{3\,e^3\,x^{3/2}}-\frac{2\,a\,b^2\,d^5\,n\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^n\right)}{e^5\,\sqrt{x}}","Not used",1,"(b^3*n^3)/(108*x^3) - (b^3*log(c*(d + e/x^(1/2))^n)^3)/(3*x^3) - a^3/(3*x^3) - (a*b^2*log(c*(d + e/x^(1/2))^n)^2)/x^3 + (b^3*n*log(c*(d + e/x^(1/2))^n)^2)/(6*x^3) - (b^3*n^2*log(c*(d + e/x^(1/2))^n))/(18*x^3) - (a*b^2*n^2)/(18*x^3) + (b^3*d^6*log(c*(d + e/x^(1/2))^n)^3)/(3*e^6) - (a^2*b*log(c*(d + e/x^(1/2))^n))/x^3 + (a^2*b*n)/(6*x^3) + (a*b^2*n*log(c*(d + e/x^(1/2))^n))/(3*x^3) + (13489*b^3*d^6*n^3*log(d + e/x^(1/2)))/(1800*e^6) + (919*b^3*d^2*n^3)/(7200*e^2*x^2) + (4669*b^3*d^4*n^3)/(3600*e^4*x) - (2059*b^3*d^3*n^3)/(5400*e^3*x^(3/2)) - (13489*b^3*d^5*n^3)/(1800*e^5*x^(1/2)) + (a*b^2*d^6*log(c*(d + e/x^(1/2))^n)^2)/e^6 - (49*b^3*d^6*n*log(c*(d + e/x^(1/2))^n)^2)/(20*e^6) - (91*b^3*d*n^3)/(2250*e*x^(5/2)) + (a^2*b*d^6*n*log(d + e/x^(1/2)))/e^6 - (b^3*d*n*log(c*(d + e/x^(1/2))^n)^2)/(5*e*x^(5/2)) + (11*b^3*d*n^2*log(c*(d + e/x^(1/2))^n))/(75*e*x^(5/2)) + (a^2*b*d^2*n)/(4*e^2*x^2) + (a^2*b*d^4*n)/(2*e^4*x) + (11*a*b^2*d*n^2)/(75*e*x^(5/2)) - (a^2*b*d^3*n)/(3*e^3*x^(3/2)) - (a^2*b*d^5*n)/(e^5*x^(1/2)) - (49*a*b^2*d^6*n^2*log(d + e/x^(1/2)))/(10*e^6) + (b^3*d^2*n*log(c*(d + e/x^(1/2))^n)^2)/(4*e^2*x^2) - (37*b^3*d^2*n^2*log(c*(d + e/x^(1/2))^n))/(120*e^2*x^2) + (b^3*d^4*n*log(c*(d + e/x^(1/2))^n)^2)/(2*e^4*x) - (29*b^3*d^4*n^2*log(c*(d + e/x^(1/2))^n))/(20*e^4*x) - (b^3*d^3*n*log(c*(d + e/x^(1/2))^n)^2)/(3*e^3*x^(3/2)) + (19*b^3*d^3*n^2*log(c*(d + e/x^(1/2))^n))/(30*e^3*x^(3/2)) - (b^3*d^5*n*log(c*(d + e/x^(1/2))^n)^2)/(e^5*x^(1/2)) + (49*b^3*d^5*n^2*log(c*(d + e/x^(1/2))^n))/(10*e^5*x^(1/2)) - (37*a*b^2*d^2*n^2)/(120*e^2*x^2) - (29*a*b^2*d^4*n^2)/(20*e^4*x) + (19*a*b^2*d^3*n^2)/(30*e^3*x^(3/2)) + (49*a*b^2*d^5*n^2)/(10*e^5*x^(1/2)) - (a^2*b*d*n)/(5*e*x^(5/2)) - (2*a*b^2*d*n*log(c*(d + e/x^(1/2))^n))/(5*e*x^(5/2)) + (a*b^2*d^2*n*log(c*(d + e/x^(1/2))^n))/(2*e^2*x^2) + (a*b^2*d^4*n*log(c*(d + e/x^(1/2))^n))/(e^4*x) - (2*a*b^2*d^3*n*log(c*(d + e/x^(1/2))^n))/(3*e^3*x^(3/2)) - (2*a*b^2*d^5*n*log(c*(d + e/x^(1/2))^n))/(e^5*x^(1/2))","B"
442,1,189,234,0.652110,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/3))^n)),x)","\frac{a\,x^4}{4}-\frac{b\,n\,x^4}{48}+\frac{b\,x^4\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4}+\frac{b\,d\,n\,x^{11/3}}{44\,e}+\frac{b\,d^9\,n\,x}{12\,e^9}-\frac{b\,d^{12}\,n\,\ln\left(d+e\,x^{1/3}\right)}{4\,e^{12}}+\frac{b\,d^3\,n\,x^3}{36\,e^3}-\frac{b\,d^6\,n\,x^2}{24\,e^6}-\frac{b\,d^2\,n\,x^{10/3}}{40\,e^2}-\frac{b\,d^4\,n\,x^{8/3}}{32\,e^4}+\frac{b\,d^5\,n\,x^{7/3}}{28\,e^5}+\frac{b\,d^7\,n\,x^{5/3}}{20\,e^7}-\frac{b\,d^8\,n\,x^{4/3}}{16\,e^8}-\frac{b\,d^{10}\,n\,x^{2/3}}{8\,e^{10}}+\frac{b\,d^{11}\,n\,x^{1/3}}{4\,e^{11}}","Not used",1,"(a*x^4)/4 - (b*n*x^4)/48 + (b*x^4*log(c*(d + e*x^(1/3))^n))/4 + (b*d*n*x^(11/3))/(44*e) + (b*d^9*n*x)/(12*e^9) - (b*d^12*n*log(d + e*x^(1/3)))/(4*e^12) + (b*d^3*n*x^3)/(36*e^3) - (b*d^6*n*x^2)/(24*e^6) - (b*d^2*n*x^(10/3))/(40*e^2) - (b*d^4*n*x^(8/3))/(32*e^4) + (b*d^5*n*x^(7/3))/(28*e^5) + (b*d^7*n*x^(5/3))/(20*e^7) - (b*d^8*n*x^(4/3))/(16*e^8) - (b*d^10*n*x^(2/3))/(8*e^10) + (b*d^11*n*x^(1/3))/(4*e^11)","B"
443,1,150,185,0.506488,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/3))^n)),x)","\frac{a\,x^3}{3}-\frac{b\,n\,x^3}{27}+\frac{b\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3}+\frac{b\,d\,n\,x^{8/3}}{24\,e}-\frac{b\,d^6\,n\,x}{9\,e^6}+\frac{b\,d^9\,n\,\ln\left(d+e\,x^{1/3}\right)}{3\,e^9}+\frac{b\,d^3\,n\,x^2}{18\,e^3}-\frac{b\,d^2\,n\,x^{7/3}}{21\,e^2}-\frac{b\,d^4\,n\,x^{5/3}}{15\,e^4}+\frac{b\,d^5\,n\,x^{4/3}}{12\,e^5}+\frac{b\,d^7\,n\,x^{2/3}}{6\,e^7}-\frac{b\,d^8\,n\,x^{1/3}}{3\,e^8}","Not used",1,"(a*x^3)/3 - (b*n*x^3)/27 + (b*x^3*log(c*(d + e*x^(1/3))^n))/3 + (b*d*n*x^(8/3))/(24*e) - (b*d^6*n*x)/(9*e^6) + (b*d^9*n*log(d + e*x^(1/3)))/(3*e^9) + (b*d^3*n*x^2)/(18*e^3) - (b*d^2*n*x^(7/3))/(21*e^2) - (b*d^4*n*x^(5/3))/(15*e^4) + (b*d^5*n*x^(4/3))/(12*e^5) + (b*d^7*n*x^(2/3))/(6*e^7) - (b*d^8*n*x^(1/3))/(3*e^8)","B"
444,1,111,136,0.415916,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/3))^n)),x)","\frac{a\,x^2}{2}-\frac{b\,n\,x^2}{12}+\frac{b\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2}+\frac{b\,d^3\,n\,x}{6\,e^3}+\frac{b\,d\,n\,x^{5/3}}{10\,e}-\frac{b\,d^6\,n\,\ln\left(d+e\,x^{1/3}\right)}{2\,e^6}-\frac{b\,d^2\,n\,x^{4/3}}{8\,e^2}-\frac{b\,d^4\,n\,x^{2/3}}{4\,e^4}+\frac{b\,d^5\,n\,x^{1/3}}{2\,e^5}","Not used",1,"(a*x^2)/2 - (b*n*x^2)/12 + (b*x^2*log(c*(d + e*x^(1/3))^n))/2 + (b*d^3*n*x)/(6*e^3) + (b*d*n*x^(5/3))/(10*e) - (b*d^6*n*log(d + e*x^(1/3)))/(2*e^6) - (b*d^2*n*x^(4/3))/(8*e^2) - (b*d^4*n*x^(2/3))/(4*e^4) + (b*d^5*n*x^(1/3))/(2*e^5)","B"
445,1,65,77,0.342389,"\text{Not used}","int(a + b*log(c*(d + e*x^(1/3))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)-\frac{b\,n\,x}{3}+\frac{b\,d\,n\,x^{2/3}}{2\,e}+\frac{b\,d^3\,n\,\ln\left(d+e\,x^{1/3}\right)}{e^3}-\frac{b\,d^2\,n\,x^{1/3}}{e^2}","Not used",1,"a*x + b*x*log(c*(d + e*x^(1/3))^n) - (b*n*x)/3 + (b*d*n*x^(2/3))/(2*e) + (b*d^3*n*log(d + e*x^(1/3)))/e^3 - (b*d^2*n*x^(1/3))/e^2","B"
446,0,-1,51,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))/x, x)","F"
447,1,74,87,0.591621,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))/x^2,x)","-\frac{\frac{b\,e\,n}{2\,d}-\frac{b\,e^2\,n\,x^{1/3}}{d^2}}{x^{2/3}}-\frac{a}{x}-\frac{b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{x}-\frac{2\,b\,e^3\,n\,\mathrm{atanh}\left(\frac{2\,e\,x^{1/3}}{d}+1\right)}{d^3}","Not used",1,"- ((b*e*n)/(2*d) - (b*e^2*n*x^(1/3))/d^2)/x^(2/3) - a/x - (b*log(c*(d + e*x^(1/3))^n))/x - (2*b*e^3*n*atanh((2*e*x^(1/3))/d + 1))/d^3","B"
448,1,109,143,0.656889,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))/x^3,x)","\frac{b\,e^6\,n\,\mathrm{atanh}\left(\frac{2\,e\,x^{1/3}}{d}+1\right)}{d^6}-\frac{\frac{b\,e\,n}{5\,d}-\frac{b\,e^4\,n\,x}{2\,d^4}-\frac{b\,e^2\,n\,x^{1/3}}{4\,d^2}+\frac{b\,e^3\,n\,x^{2/3}}{3\,d^3}+\frac{b\,e^5\,n\,x^{4/3}}{d^5}}{2\,x^{5/3}}-\frac{b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,x^2}-\frac{a}{2\,x^2}","Not used",1,"(b*e^6*n*atanh((2*e*x^(1/3))/d + 1))/d^6 - ((b*e*n)/(5*d) - (b*e^4*n*x)/(2*d^4) - (b*e^2*n*x^(1/3))/(4*d^2) + (b*e^3*n*x^(2/3))/(3*d^3) + (b*e^5*n*x^(4/3))/d^5)/(2*x^(5/3)) - (b*log(c*(d + e*x^(1/3))^n))/(2*x^2) - a/(2*x^2)","B"
449,1,154,192,0.611655,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))/x^4,x)","-\frac{\frac{a\,d^9}{3}+\frac{b\,d^9\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3}+\frac{b\,d^6\,e^3\,n\,x}{18}+\frac{b\,d^8\,e\,n\,x^{1/3}}{24}-\frac{b\,d\,e^8\,n\,x^{8/3}}{3}-\frac{b\,d^3\,e^6\,n\,x^2}{9}-\frac{b\,d^7\,e^2\,n\,x^{2/3}}{21}-\frac{b\,d^5\,e^4\,n\,x^{4/3}}{15}+\frac{b\,d^4\,e^5\,n\,x^{5/3}}{12}+\frac{b\,d^2\,e^7\,n\,x^{7/3}}{6}}{d^9\,x^3}-\frac{2\,b\,e^9\,n\,\mathrm{atanh}\left(\frac{2\,e\,x^{1/3}}{d}+1\right)}{3\,d^9}","Not used",1,"- ((a*d^9)/3 + (b*d^9*log(c*(d + e*x^(1/3))^n))/3 + (b*d^6*e^3*n*x)/18 + (b*d^8*e*n*x^(1/3))/24 - (b*d*e^8*n*x^(8/3))/3 - (b*d^3*e^6*n*x^2)/9 - (b*d^7*e^2*n*x^(2/3))/21 - (b*d^5*e^4*n*x^(4/3))/15 + (b*d^4*e^5*n*x^(5/3))/12 + (b*d^2*e^7*n*x^(7/3))/6)/(d^9*x^3) - (2*b*e^9*n*atanh((2*e*x^(1/3))/d + 1))/(3*d^9)","B"
450,1,608,680,4.702690,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/3))^n))^2,x)","\frac{a^2\,x^3}{3}+\frac{b^2\,x^3\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{3}+\frac{2\,b^2\,n^2\,x^3}{243}+\frac{2\,a\,b\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3}+\frac{b^2\,d^9\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{3\,e^9}-\frac{2\,a\,b\,n\,x^3}{27}-\frac{2\,b^2\,n\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{27}-\frac{7129\,b^2\,d^9\,n^2\,\ln\left(d+e\,x^{1/3}\right)}{3780\,e^9}-\frac{275\,b^2\,d^3\,n^2\,x^2}{4536\,e^3}+\frac{191\,b^2\,d^2\,n^2\,x^{7/3}}{5292\,e^2}+\frac{1879\,b^2\,d^4\,n^2\,x^{5/3}}{18900\,e^4}-\frac{2509\,b^2\,d^5\,n^2\,x^{4/3}}{15120\,e^5}-\frac{4609\,b^2\,d^7\,n^2\,x^{2/3}}{7560\,e^7}+\frac{7129\,b^2\,d^8\,n^2\,x^{1/3}}{3780\,e^8}-\frac{17\,b^2\,d\,n^2\,x^{8/3}}{864\,e}+\frac{3349\,b^2\,d^6\,n^2\,x}{11340\,e^6}+\frac{b^2\,d^3\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{9\,e^3}-\frac{2\,b^2\,d^2\,n\,x^{7/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{21\,e^2}-\frac{2\,b^2\,d^4\,n\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{15\,e^4}+\frac{b^2\,d^5\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{6\,e^5}+\frac{b^2\,d^7\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3\,e^7}-\frac{2\,b^2\,d^8\,n\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3\,e^8}+\frac{a\,b\,d\,n\,x^{8/3}}{12\,e}-\frac{2\,a\,b\,d^6\,n\,x}{9\,e^6}+\frac{2\,a\,b\,d^9\,n\,\ln\left(d+e\,x^{1/3}\right)}{3\,e^9}+\frac{b^2\,d\,n\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{12\,e}-\frac{2\,b^2\,d^6\,n\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{9\,e^6}+\frac{a\,b\,d^3\,n\,x^2}{9\,e^3}-\frac{2\,a\,b\,d^2\,n\,x^{7/3}}{21\,e^2}-\frac{2\,a\,b\,d^4\,n\,x^{5/3}}{15\,e^4}+\frac{a\,b\,d^5\,n\,x^{4/3}}{6\,e^5}+\frac{a\,b\,d^7\,n\,x^{2/3}}{3\,e^7}-\frac{2\,a\,b\,d^8\,n\,x^{1/3}}{3\,e^8}","Not used",1,"(a^2*x^3)/3 + (b^2*x^3*log(c*(d + e*x^(1/3))^n)^2)/3 + (2*b^2*n^2*x^3)/243 + (2*a*b*x^3*log(c*(d + e*x^(1/3))^n))/3 + (b^2*d^9*log(c*(d + e*x^(1/3))^n)^2)/(3*e^9) - (2*a*b*n*x^3)/27 - (2*b^2*n*x^3*log(c*(d + e*x^(1/3))^n))/27 - (7129*b^2*d^9*n^2*log(d + e*x^(1/3)))/(3780*e^9) - (275*b^2*d^3*n^2*x^2)/(4536*e^3) + (191*b^2*d^2*n^2*x^(7/3))/(5292*e^2) + (1879*b^2*d^4*n^2*x^(5/3))/(18900*e^4) - (2509*b^2*d^5*n^2*x^(4/3))/(15120*e^5) - (4609*b^2*d^7*n^2*x^(2/3))/(7560*e^7) + (7129*b^2*d^8*n^2*x^(1/3))/(3780*e^8) - (17*b^2*d*n^2*x^(8/3))/(864*e) + (3349*b^2*d^6*n^2*x)/(11340*e^6) + (b^2*d^3*n*x^2*log(c*(d + e*x^(1/3))^n))/(9*e^3) - (2*b^2*d^2*n*x^(7/3)*log(c*(d + e*x^(1/3))^n))/(21*e^2) - (2*b^2*d^4*n*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(15*e^4) + (b^2*d^5*n*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(6*e^5) + (b^2*d^7*n*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(3*e^7) - (2*b^2*d^8*n*x^(1/3)*log(c*(d + e*x^(1/3))^n))/(3*e^8) + (a*b*d*n*x^(8/3))/(12*e) - (2*a*b*d^6*n*x)/(9*e^6) + (2*a*b*d^9*n*log(d + e*x^(1/3)))/(3*e^9) + (b^2*d*n*x^(8/3)*log(c*(d + e*x^(1/3))^n))/(12*e) - (2*b^2*d^6*n*x*log(c*(d + e*x^(1/3))^n))/(9*e^6) + (a*b*d^3*n*x^2)/(9*e^3) - (2*a*b*d^2*n*x^(7/3))/(21*e^2) - (2*a*b*d^4*n*x^(5/3))/(15*e^4) + (a*b*d^5*n*x^(4/3))/(6*e^5) + (a*b*d^7*n*x^(2/3))/(3*e^7) - (2*a*b*d^8*n*x^(1/3))/(3*e^8)","B"
451,1,431,480,1.719826,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/3))^n))^2,x)","\frac{a^2\,x^2}{2}+\frac{b^2\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2}+\frac{b^2\,n^2\,x^2}{36}+a\,b\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)-\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2\,e^6}-\frac{a\,b\,n\,x^2}{6}-\frac{b^2\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{6}+\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+e\,x^{1/3}\right)}{20\,e^6}+\frac{37\,b^2\,d^2\,n^2\,x^{4/3}}{240\,e^2}+\frac{29\,b^2\,d^4\,n^2\,x^{2/3}}{40\,e^4}-\frac{49\,b^2\,d^5\,n^2\,x^{1/3}}{20\,e^5}-\frac{19\,b^2\,d^3\,n^2\,x}{60\,e^3}-\frac{11\,b^2\,d\,n^2\,x^{5/3}}{150\,e}-\frac{b^2\,d^2\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4\,e^2}-\frac{b^2\,d^4\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,e^4}+\frac{b^2\,d^5\,n\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{e^5}+\frac{a\,b\,d^3\,n\,x}{3\,e^3}+\frac{a\,b\,d\,n\,x^{5/3}}{5\,e}-\frac{a\,b\,d^6\,n\,\ln\left(d+e\,x^{1/3}\right)}{e^6}+\frac{b^2\,d^3\,n\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3\,e^3}+\frac{b^2\,d\,n\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{5\,e}-\frac{a\,b\,d^2\,n\,x^{4/3}}{4\,e^2}-\frac{a\,b\,d^4\,n\,x^{2/3}}{2\,e^4}+\frac{a\,b\,d^5\,n\,x^{1/3}}{e^5}","Not used",1,"(a^2*x^2)/2 + (b^2*x^2*log(c*(d + e*x^(1/3))^n)^2)/2 + (b^2*n^2*x^2)/36 + a*b*x^2*log(c*(d + e*x^(1/3))^n) - (b^2*d^6*log(c*(d + e*x^(1/3))^n)^2)/(2*e^6) - (a*b*n*x^2)/6 - (b^2*n*x^2*log(c*(d + e*x^(1/3))^n))/6 + (49*b^2*d^6*n^2*log(d + e*x^(1/3)))/(20*e^6) + (37*b^2*d^2*n^2*x^(4/3))/(240*e^2) + (29*b^2*d^4*n^2*x^(2/3))/(40*e^4) - (49*b^2*d^5*n^2*x^(1/3))/(20*e^5) - (19*b^2*d^3*n^2*x)/(60*e^3) - (11*b^2*d*n^2*x^(5/3))/(150*e) - (b^2*d^2*n*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(4*e^2) - (b^2*d^4*n*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(2*e^4) + (b^2*d^5*n*x^(1/3)*log(c*(d + e*x^(1/3))^n))/e^5 + (a*b*d^3*n*x)/(3*e^3) + (a*b*d*n*x^(5/3))/(5*e) - (a*b*d^6*n*log(d + e*x^(1/3)))/e^6 + (b^2*d^3*n*x*log(c*(d + e*x^(1/3))^n))/(3*e^3) + (b^2*d*n*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(5*e) - (a*b*d^2*n*x^(4/3))/(4*e^2) - (a*b*d^4*n*x^(2/3))/(2*e^4) + (a*b*d^5*n*x^(1/3))/e^5","B"
452,1,290,267,0.511091,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^2,x)","\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\,\left(\frac{2\,b\,x\,\left(3\,a-b\,n\right)}{3}-x^{2/3}\,\left(\frac{b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{3\,a\,b\,d}{e}\right)+\frac{d\,x^{1/3}\,\left(\frac{2\,b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{6\,a\,b\,d}{e}\right)}{e}\right)-x^{2/3}\,\left(\frac{d\,\left(3\,a^2-2\,a\,b\,n+\frac{2\,b^2\,n^2}{3}\right)}{2\,e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{2\,e}\right)+x^{1/3}\,\left(\frac{d\,\left(\frac{d\,\left(3\,a^2-2\,a\,b\,n+\frac{2\,b^2\,n^2}{3}\right)}{e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{e}\right)}{e}+\frac{2\,b^2\,d^2\,n^2}{e^2}\right)+x\,\left(a^2-\frac{2\,a\,b\,n}{3}+\frac{2\,b^2\,n^2}{9}\right)+{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2\,\left(b^2\,x+\frac{b^2\,d^3}{e^3}\right)-\frac{\ln\left(d+e\,x^{1/3}\right)\,\left(11\,b^2\,d^3\,n^2-6\,a\,b\,d^3\,n\right)}{3\,e^3}","Not used",1,"log(c*(d + e*x^(1/3))^n)*((2*b*x*(3*a - b*n))/3 - x^(2/3)*((b*d*(3*a - b*n))/e - (3*a*b*d)/e) + (d*x^(1/3)*((2*b*d*(3*a - b*n))/e - (6*a*b*d)/e))/e) - x^(2/3)*((d*(3*a^2 + (2*b^2*n^2)/3 - 2*a*b*n))/(2*e) - (d*(3*a^2 - b^2*n^2))/(2*e)) + x^(1/3)*((d*((d*(3*a^2 + (2*b^2*n^2)/3 - 2*a*b*n))/e - (d*(3*a^2 - b^2*n^2))/e))/e + (2*b^2*d^2*n^2)/e^2) + x*(a^2 + (2*b^2*n^2)/9 - (2*a*b*n)/3) + log(c*(d + e*x^(1/3))^n)^2*(b^2*x + (b^2*d^3)/e^3) - (log(d + e*x^(1/3))*(11*b^2*d^3*n^2 - 6*a*b*d^3*n))/(3*e^3)","B"
453,0,-1,93,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^2/x, x)","F"
454,0,-1,231,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^2/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^2/x^2, x)","F"
455,0,-1,405,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^2/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^2/x^3, x)","F"
456,1,1802,1835,8.472222,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/3))^n))^3,x)","\frac{a^3\,x^4}{4}+\frac{b^3\,x^4\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{4}-\frac{b^3\,n^3\,x^4}{1152}+\frac{3\,a\,b^2\,x^4\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4}-\frac{b^3\,n\,x^4\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{16}+\frac{b^3\,n^2\,x^4\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{96}+\frac{a\,b^2\,n^2\,x^4}{96}-\frac{b^3\,d^{12}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{4\,e^{12}}+\frac{3\,a^2\,b\,x^4\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4}-\frac{a^2\,b\,n\,x^4}{16}-\frac{a\,b^2\,n\,x^4\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{8}-\frac{4301068993\,b^3\,d^{12}\,n^3\,\ln\left(d+e\,x^{1/3}\right)}{512265600\,e^{12}}+\frac{364699\,b^3\,d^3\,n^3\,x^3}{23522400\,e^3}-\frac{297202819\,b^3\,d^6\,n^3\,x^2}{3073593600\,e^6}-\frac{21871\,b^3\,d^2\,n^3\,x^{10/3}}{2904000\,e^2}-\frac{2459191\,b^3\,d^4\,n^3\,x^{8/3}}{83635200\,e^4}+\frac{192204079\,b^3\,d^5\,n^3\,x^{7/3}}{3585859200\,e^5}+\frac{453937243\,b^3\,d^7\,n^3\,x^{5/3}}{2561328000\,e^7}-\frac{697880173\,b^3\,d^8\,n^3\,x^{4/3}}{2049062400\,e^8}-\frac{1916566873\,b^3\,d^{10}\,n^3\,x^{2/3}}{1024531200\,e^{10}}+\frac{4301068993\,b^3\,d^{11}\,n^3\,x^{1/3}}{512265600\,e^{11}}-\frac{3\,a\,b^2\,d^{12}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4\,e^{12}}+\frac{86021\,b^3\,d^{12}\,n\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{36960\,e^{12}}+\frac{397\,b^3\,d\,n^3\,x^{11/3}}{127776\,e}+\frac{1108515013\,b^3\,d^9\,n^3\,x}{1536796800\,e^9}-\frac{3\,a^2\,b\,d^{12}\,n\,\ln\left(d+e\,x^{1/3}\right)}{4\,e^{12}}+\frac{3\,b^3\,d\,n\,x^{11/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{44\,e}-\frac{23\,b^3\,d\,n^2\,x^{11/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{968\,e}+\frac{b^3\,d^9\,n\,x\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4\,e^9}-\frac{44441\,b^3\,d^9\,n^2\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{55440\,e^9}+\frac{a^2\,b\,d^3\,n\,x^3}{12\,e^3}-\frac{a^2\,b\,d^6\,n\,x^2}{8\,e^6}-\frac{23\,a\,b^2\,d\,n^2\,x^{11/3}}{968\,e}-\frac{3\,a^2\,b\,d^2\,n\,x^{10/3}}{40\,e^2}-\frac{3\,a^2\,b\,d^4\,n\,x^{8/3}}{32\,e^4}-\frac{44441\,a\,b^2\,d^9\,n^2\,x}{55440\,e^9}+\frac{3\,a^2\,b\,d^5\,n\,x^{7/3}}{28\,e^5}+\frac{3\,a^2\,b\,d^7\,n\,x^{5/3}}{20\,e^7}-\frac{3\,a^2\,b\,d^8\,n\,x^{4/3}}{16\,e^8}-\frac{3\,a^2\,b\,d^{10}\,n\,x^{2/3}}{8\,e^{10}}+\frac{3\,a^2\,b\,d^{11}\,n\,x^{1/3}}{4\,e^{11}}+\frac{86021\,a\,b^2\,d^{12}\,n^2\,\ln\left(d+e\,x^{1/3}\right)}{18480\,e^{12}}+\frac{b^3\,d^3\,n\,x^3\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{12\,e^3}-\frac{763\,b^3\,d^3\,n^2\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{11880\,e^3}-\frac{b^3\,d^6\,n\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{8\,e^6}+\frac{22727\,b^3\,d^6\,n^2\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{110880\,e^6}-\frac{3\,b^3\,d^2\,n\,x^{10/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{40\,e^2}+\frac{181\,b^3\,d^2\,n^2\,x^{10/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4400\,e^2}-\frac{3\,b^3\,d^4\,n\,x^{8/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{32\,e^4}+\frac{2021\,b^3\,d^4\,n^2\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{21120\,e^4}+\frac{3\,b^3\,d^5\,n\,x^{7/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{28\,e^5}-\frac{18107\,b^3\,d^5\,n^2\,x^{7/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{129360\,e^5}+\frac{3\,b^3\,d^7\,n\,x^{5/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{20\,e^7}-\frac{28271\,b^3\,d^7\,n^2\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{92400\,e^7}-\frac{3\,b^3\,d^8\,n\,x^{4/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{16\,e^8}+\frac{35201\,b^3\,d^8\,n^2\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{73920\,e^8}-\frac{3\,b^3\,d^{10}\,n\,x^{2/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{8\,e^{10}}+\frac{58301\,b^3\,d^{10}\,n^2\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{36960\,e^{10}}+\frac{3\,b^3\,d^{11}\,n\,x^{1/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4\,e^{11}}-\frac{86021\,b^3\,d^{11}\,n^2\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{18480\,e^{11}}-\frac{763\,a\,b^2\,d^3\,n^2\,x^3}{11880\,e^3}+\frac{22727\,a\,b^2\,d^6\,n^2\,x^2}{110880\,e^6}+\frac{181\,a\,b^2\,d^2\,n^2\,x^{10/3}}{4400\,e^2}+\frac{2021\,a\,b^2\,d^4\,n^2\,x^{8/3}}{21120\,e^4}-\frac{18107\,a\,b^2\,d^5\,n^2\,x^{7/3}}{129360\,e^5}-\frac{28271\,a\,b^2\,d^7\,n^2\,x^{5/3}}{92400\,e^7}+\frac{35201\,a\,b^2\,d^8\,n^2\,x^{4/3}}{73920\,e^8}+\frac{58301\,a\,b^2\,d^{10}\,n^2\,x^{2/3}}{36960\,e^{10}}-\frac{86021\,a\,b^2\,d^{11}\,n^2\,x^{1/3}}{18480\,e^{11}}+\frac{3\,a^2\,b\,d\,n\,x^{11/3}}{44\,e}+\frac{a^2\,b\,d^9\,n\,x}{4\,e^9}+\frac{3\,a\,b^2\,d\,n\,x^{11/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{22\,e}+\frac{a\,b^2\,d^9\,n\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,e^9}+\frac{a\,b^2\,d^3\,n\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{6\,e^3}-\frac{a\,b^2\,d^6\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4\,e^6}-\frac{3\,a\,b^2\,d^2\,n\,x^{10/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{20\,e^2}-\frac{3\,a\,b^2\,d^4\,n\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{16\,e^4}+\frac{3\,a\,b^2\,d^5\,n\,x^{7/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{14\,e^5}+\frac{3\,a\,b^2\,d^7\,n\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{10\,e^7}-\frac{3\,a\,b^2\,d^8\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{8\,e^8}-\frac{3\,a\,b^2\,d^{10}\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4\,e^{10}}+\frac{3\,a\,b^2\,d^{11}\,n\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,e^{11}}","Not used",1,"(a^3*x^4)/4 + (b^3*x^4*log(c*(d + e*x^(1/3))^n)^3)/4 - (b^3*n^3*x^4)/1152 + (3*a*b^2*x^4*log(c*(d + e*x^(1/3))^n)^2)/4 - (b^3*n*x^4*log(c*(d + e*x^(1/3))^n)^2)/16 + (b^3*n^2*x^4*log(c*(d + e*x^(1/3))^n))/96 + (a*b^2*n^2*x^4)/96 - (b^3*d^12*log(c*(d + e*x^(1/3))^n)^3)/(4*e^12) + (3*a^2*b*x^4*log(c*(d + e*x^(1/3))^n))/4 - (a^2*b*n*x^4)/16 - (a*b^2*n*x^4*log(c*(d + e*x^(1/3))^n))/8 - (4301068993*b^3*d^12*n^3*log(d + e*x^(1/3)))/(512265600*e^12) + (364699*b^3*d^3*n^3*x^3)/(23522400*e^3) - (297202819*b^3*d^6*n^3*x^2)/(3073593600*e^6) - (21871*b^3*d^2*n^3*x^(10/3))/(2904000*e^2) - (2459191*b^3*d^4*n^3*x^(8/3))/(83635200*e^4) + (192204079*b^3*d^5*n^3*x^(7/3))/(3585859200*e^5) + (453937243*b^3*d^7*n^3*x^(5/3))/(2561328000*e^7) - (697880173*b^3*d^8*n^3*x^(4/3))/(2049062400*e^8) - (1916566873*b^3*d^10*n^3*x^(2/3))/(1024531200*e^10) + (4301068993*b^3*d^11*n^3*x^(1/3))/(512265600*e^11) - (3*a*b^2*d^12*log(c*(d + e*x^(1/3))^n)^2)/(4*e^12) + (86021*b^3*d^12*n*log(c*(d + e*x^(1/3))^n)^2)/(36960*e^12) + (397*b^3*d*n^3*x^(11/3))/(127776*e) + (1108515013*b^3*d^9*n^3*x)/(1536796800*e^9) - (3*a^2*b*d^12*n*log(d + e*x^(1/3)))/(4*e^12) + (3*b^3*d*n*x^(11/3)*log(c*(d + e*x^(1/3))^n)^2)/(44*e) - (23*b^3*d*n^2*x^(11/3)*log(c*(d + e*x^(1/3))^n))/(968*e) + (b^3*d^9*n*x*log(c*(d + e*x^(1/3))^n)^2)/(4*e^9) - (44441*b^3*d^9*n^2*x*log(c*(d + e*x^(1/3))^n))/(55440*e^9) + (a^2*b*d^3*n*x^3)/(12*e^3) - (a^2*b*d^6*n*x^2)/(8*e^6) - (23*a*b^2*d*n^2*x^(11/3))/(968*e) - (3*a^2*b*d^2*n*x^(10/3))/(40*e^2) - (3*a^2*b*d^4*n*x^(8/3))/(32*e^4) - (44441*a*b^2*d^9*n^2*x)/(55440*e^9) + (3*a^2*b*d^5*n*x^(7/3))/(28*e^5) + (3*a^2*b*d^7*n*x^(5/3))/(20*e^7) - (3*a^2*b*d^8*n*x^(4/3))/(16*e^8) - (3*a^2*b*d^10*n*x^(2/3))/(8*e^10) + (3*a^2*b*d^11*n*x^(1/3))/(4*e^11) + (86021*a*b^2*d^12*n^2*log(d + e*x^(1/3)))/(18480*e^12) + (b^3*d^3*n*x^3*log(c*(d + e*x^(1/3))^n)^2)/(12*e^3) - (763*b^3*d^3*n^2*x^3*log(c*(d + e*x^(1/3))^n))/(11880*e^3) - (b^3*d^6*n*x^2*log(c*(d + e*x^(1/3))^n)^2)/(8*e^6) + (22727*b^3*d^6*n^2*x^2*log(c*(d + e*x^(1/3))^n))/(110880*e^6) - (3*b^3*d^2*n*x^(10/3)*log(c*(d + e*x^(1/3))^n)^2)/(40*e^2) + (181*b^3*d^2*n^2*x^(10/3)*log(c*(d + e*x^(1/3))^n))/(4400*e^2) - (3*b^3*d^4*n*x^(8/3)*log(c*(d + e*x^(1/3))^n)^2)/(32*e^4) + (2021*b^3*d^4*n^2*x^(8/3)*log(c*(d + e*x^(1/3))^n))/(21120*e^4) + (3*b^3*d^5*n*x^(7/3)*log(c*(d + e*x^(1/3))^n)^2)/(28*e^5) - (18107*b^3*d^5*n^2*x^(7/3)*log(c*(d + e*x^(1/3))^n))/(129360*e^5) + (3*b^3*d^7*n*x^(5/3)*log(c*(d + e*x^(1/3))^n)^2)/(20*e^7) - (28271*b^3*d^7*n^2*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(92400*e^7) - (3*b^3*d^8*n*x^(4/3)*log(c*(d + e*x^(1/3))^n)^2)/(16*e^8) + (35201*b^3*d^8*n^2*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(73920*e^8) - (3*b^3*d^10*n*x^(2/3)*log(c*(d + e*x^(1/3))^n)^2)/(8*e^10) + (58301*b^3*d^10*n^2*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(36960*e^10) + (3*b^3*d^11*n*x^(1/3)*log(c*(d + e*x^(1/3))^n)^2)/(4*e^11) - (86021*b^3*d^11*n^2*x^(1/3)*log(c*(d + e*x^(1/3))^n))/(18480*e^11) - (763*a*b^2*d^3*n^2*x^3)/(11880*e^3) + (22727*a*b^2*d^6*n^2*x^2)/(110880*e^6) + (181*a*b^2*d^2*n^2*x^(10/3))/(4400*e^2) + (2021*a*b^2*d^4*n^2*x^(8/3))/(21120*e^4) - (18107*a*b^2*d^5*n^2*x^(7/3))/(129360*e^5) - (28271*a*b^2*d^7*n^2*x^(5/3))/(92400*e^7) + (35201*a*b^2*d^8*n^2*x^(4/3))/(73920*e^8) + (58301*a*b^2*d^10*n^2*x^(2/3))/(36960*e^10) - (86021*a*b^2*d^11*n^2*x^(1/3))/(18480*e^11) + (3*a^2*b*d*n*x^(11/3))/(44*e) + (a^2*b*d^9*n*x)/(4*e^9) + (3*a*b^2*d*n*x^(11/3)*log(c*(d + e*x^(1/3))^n))/(22*e) + (a*b^2*d^9*n*x*log(c*(d + e*x^(1/3))^n))/(2*e^9) + (a*b^2*d^3*n*x^3*log(c*(d + e*x^(1/3))^n))/(6*e^3) - (a*b^2*d^6*n*x^2*log(c*(d + e*x^(1/3))^n))/(4*e^6) - (3*a*b^2*d^2*n*x^(10/3)*log(c*(d + e*x^(1/3))^n))/(20*e^2) - (3*a*b^2*d^4*n*x^(8/3)*log(c*(d + e*x^(1/3))^n))/(16*e^4) + (3*a*b^2*d^5*n*x^(7/3)*log(c*(d + e*x^(1/3))^n))/(14*e^5) + (3*a*b^2*d^7*n*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(10*e^7) - (3*a*b^2*d^8*n*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(8*e^8) - (3*a*b^2*d^10*n*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(4*e^10) + (3*a*b^2*d^11*n*x^(1/3)*log(c*(d + e*x^(1/3))^n))/(2*e^11)","B"
457,1,1386,1357,8.254043,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/3))^n))^3,x)","\frac{a^3\,x^3}{3}+\frac{b^3\,x^3\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{3}-\frac{2\,b^3\,n^3\,x^3}{729}+a\,b^2\,x^3\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2-\frac{b^3\,n\,x^3\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{9}+\frac{2\,b^3\,n^2\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{81}+\frac{2\,a\,b^2\,n^2\,x^3}{81}+\frac{b^3\,d^9\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{3\,e^9}+a^2\,b\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)-\frac{a^2\,b\,n\,x^3}{9}-\frac{2\,a\,b^2\,n\,x^3\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{9}+\frac{30300391\,b^3\,d^9\,n^3\,\ln\left(d+e\,x^{1/3}\right)}{3175200\,e^9}+\frac{47485\,b^3\,d^3\,n^3\,x^2}{762048\,e^3}-\frac{24385\,b^3\,d^2\,n^3\,x^{7/3}}{889056\,e^2}-\frac{2134141\,b^3\,d^4\,n^3\,x^{5/3}}{15876000\,e^4}+\frac{3714811\,b^3\,d^5\,n^3\,x^{4/3}}{12700800\,e^5}+\frac{12335311\,b^3\,d^7\,n^3\,x^{2/3}}{6350400\,e^7}-\frac{30300391\,b^3\,d^8\,n^3\,x^{1/3}}{3175200\,e^8}+\frac{a\,b^2\,d^9\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{e^9}-\frac{7129\,b^3\,d^9\,n\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2520\,e^9}+\frac{217\,b^3\,d\,n^3\,x^{8/3}}{20736\,e}-\frac{6527971\,b^3\,d^6\,n^3\,x}{9525600\,e^6}+\frac{a^2\,b\,d^9\,n\,\ln\left(d+e\,x^{1/3}\right)}{e^9}+\frac{b^3\,d\,n\,x^{8/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{8\,e}-\frac{17\,b^3\,d\,n^2\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{288\,e}-\frac{b^3\,d^6\,n\,x\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{3\,e^6}+\frac{3349\,b^3\,d^6\,n^2\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3780\,e^6}+\frac{a^2\,b\,d^3\,n\,x^2}{6\,e^3}-\frac{17\,a\,b^2\,d\,n^2\,x^{8/3}}{288\,e}+\frac{3349\,a\,b^2\,d^6\,n^2\,x}{3780\,e^6}-\frac{a^2\,b\,d^2\,n\,x^{7/3}}{7\,e^2}-\frac{a^2\,b\,d^4\,n\,x^{5/3}}{5\,e^4}+\frac{a^2\,b\,d^5\,n\,x^{4/3}}{4\,e^5}+\frac{a^2\,b\,d^7\,n\,x^{2/3}}{2\,e^7}-\frac{a^2\,b\,d^8\,n\,x^{1/3}}{e^8}-\frac{7129\,a\,b^2\,d^9\,n^2\,\ln\left(d+e\,x^{1/3}\right)}{1260\,e^9}+\frac{b^3\,d^3\,n\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{6\,e^3}-\frac{275\,b^3\,d^3\,n^2\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{1512\,e^3}-\frac{b^3\,d^2\,n\,x^{7/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{7\,e^2}+\frac{191\,b^3\,d^2\,n^2\,x^{7/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{1764\,e^2}-\frac{b^3\,d^4\,n\,x^{5/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{5\,e^4}+\frac{1879\,b^3\,d^4\,n^2\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{6300\,e^4}+\frac{b^3\,d^5\,n\,x^{4/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4\,e^5}-\frac{2509\,b^3\,d^5\,n^2\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{5040\,e^5}+\frac{b^3\,d^7\,n\,x^{2/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2\,e^7}-\frac{4609\,b^3\,d^7\,n^2\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2520\,e^7}-\frac{b^3\,d^8\,n\,x^{1/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{e^8}+\frac{7129\,b^3\,d^8\,n^2\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{1260\,e^8}-\frac{275\,a\,b^2\,d^3\,n^2\,x^2}{1512\,e^3}+\frac{191\,a\,b^2\,d^2\,n^2\,x^{7/3}}{1764\,e^2}+\frac{1879\,a\,b^2\,d^4\,n^2\,x^{5/3}}{6300\,e^4}-\frac{2509\,a\,b^2\,d^5\,n^2\,x^{4/3}}{5040\,e^5}-\frac{4609\,a\,b^2\,d^7\,n^2\,x^{2/3}}{2520\,e^7}+\frac{7129\,a\,b^2\,d^8\,n^2\,x^{1/3}}{1260\,e^8}+\frac{a^2\,b\,d\,n\,x^{8/3}}{8\,e}-\frac{a^2\,b\,d^6\,n\,x}{3\,e^6}+\frac{a\,b^2\,d\,n\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4\,e}-\frac{2\,a\,b^2\,d^6\,n\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3\,e^6}+\frac{a\,b^2\,d^3\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{3\,e^3}-\frac{2\,a\,b^2\,d^2\,n\,x^{7/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{7\,e^2}-\frac{2\,a\,b^2\,d^4\,n\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{5\,e^4}+\frac{a\,b^2\,d^5\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,e^5}+\frac{a\,b^2\,d^7\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{e^7}-\frac{2\,a\,b^2\,d^8\,n\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{e^8}","Not used",1,"(a^3*x^3)/3 + (b^3*x^3*log(c*(d + e*x^(1/3))^n)^3)/3 - (2*b^3*n^3*x^3)/729 + a*b^2*x^3*log(c*(d + e*x^(1/3))^n)^2 - (b^3*n*x^3*log(c*(d + e*x^(1/3))^n)^2)/9 + (2*b^3*n^2*x^3*log(c*(d + e*x^(1/3))^n))/81 + (2*a*b^2*n^2*x^3)/81 + (b^3*d^9*log(c*(d + e*x^(1/3))^n)^3)/(3*e^9) + a^2*b*x^3*log(c*(d + e*x^(1/3))^n) - (a^2*b*n*x^3)/9 - (2*a*b^2*n*x^3*log(c*(d + e*x^(1/3))^n))/9 + (30300391*b^3*d^9*n^3*log(d + e*x^(1/3)))/(3175200*e^9) + (47485*b^3*d^3*n^3*x^2)/(762048*e^3) - (24385*b^3*d^2*n^3*x^(7/3))/(889056*e^2) - (2134141*b^3*d^4*n^3*x^(5/3))/(15876000*e^4) + (3714811*b^3*d^5*n^3*x^(4/3))/(12700800*e^5) + (12335311*b^3*d^7*n^3*x^(2/3))/(6350400*e^7) - (30300391*b^3*d^8*n^3*x^(1/3))/(3175200*e^8) + (a*b^2*d^9*log(c*(d + e*x^(1/3))^n)^2)/e^9 - (7129*b^3*d^9*n*log(c*(d + e*x^(1/3))^n)^2)/(2520*e^9) + (217*b^3*d*n^3*x^(8/3))/(20736*e) - (6527971*b^3*d^6*n^3*x)/(9525600*e^6) + (a^2*b*d^9*n*log(d + e*x^(1/3)))/e^9 + (b^3*d*n*x^(8/3)*log(c*(d + e*x^(1/3))^n)^2)/(8*e) - (17*b^3*d*n^2*x^(8/3)*log(c*(d + e*x^(1/3))^n))/(288*e) - (b^3*d^6*n*x*log(c*(d + e*x^(1/3))^n)^2)/(3*e^6) + (3349*b^3*d^6*n^2*x*log(c*(d + e*x^(1/3))^n))/(3780*e^6) + (a^2*b*d^3*n*x^2)/(6*e^3) - (17*a*b^2*d*n^2*x^(8/3))/(288*e) + (3349*a*b^2*d^6*n^2*x)/(3780*e^6) - (a^2*b*d^2*n*x^(7/3))/(7*e^2) - (a^2*b*d^4*n*x^(5/3))/(5*e^4) + (a^2*b*d^5*n*x^(4/3))/(4*e^5) + (a^2*b*d^7*n*x^(2/3))/(2*e^7) - (a^2*b*d^8*n*x^(1/3))/e^8 - (7129*a*b^2*d^9*n^2*log(d + e*x^(1/3)))/(1260*e^9) + (b^3*d^3*n*x^2*log(c*(d + e*x^(1/3))^n)^2)/(6*e^3) - (275*b^3*d^3*n^2*x^2*log(c*(d + e*x^(1/3))^n))/(1512*e^3) - (b^3*d^2*n*x^(7/3)*log(c*(d + e*x^(1/3))^n)^2)/(7*e^2) + (191*b^3*d^2*n^2*x^(7/3)*log(c*(d + e*x^(1/3))^n))/(1764*e^2) - (b^3*d^4*n*x^(5/3)*log(c*(d + e*x^(1/3))^n)^2)/(5*e^4) + (1879*b^3*d^4*n^2*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(6300*e^4) + (b^3*d^5*n*x^(4/3)*log(c*(d + e*x^(1/3))^n)^2)/(4*e^5) - (2509*b^3*d^5*n^2*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(5040*e^5) + (b^3*d^7*n*x^(2/3)*log(c*(d + e*x^(1/3))^n)^2)/(2*e^7) - (4609*b^3*d^7*n^2*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(2520*e^7) - (b^3*d^8*n*x^(1/3)*log(c*(d + e*x^(1/3))^n)^2)/e^8 + (7129*b^3*d^8*n^2*x^(1/3)*log(c*(d + e*x^(1/3))^n))/(1260*e^8) - (275*a*b^2*d^3*n^2*x^2)/(1512*e^3) + (191*a*b^2*d^2*n^2*x^(7/3))/(1764*e^2) + (1879*a*b^2*d^4*n^2*x^(5/3))/(6300*e^4) - (2509*a*b^2*d^5*n^2*x^(4/3))/(5040*e^5) - (4609*a*b^2*d^7*n^2*x^(2/3))/(2520*e^7) + (7129*a*b^2*d^8*n^2*x^(1/3))/(1260*e^8) + (a^2*b*d*n*x^(8/3))/(8*e) - (a^2*b*d^6*n*x)/(3*e^6) + (a*b^2*d*n*x^(8/3)*log(c*(d + e*x^(1/3))^n))/(4*e) - (2*a*b^2*d^6*n*x*log(c*(d + e*x^(1/3))^n))/(3*e^6) + (a*b^2*d^3*n*x^2*log(c*(d + e*x^(1/3))^n))/(3*e^3) - (2*a*b^2*d^2*n*x^(7/3)*log(c*(d + e*x^(1/3))^n))/(7*e^2) - (2*a*b^2*d^4*n*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(5*e^4) + (a*b^2*d^5*n*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(2*e^5) + (a*b^2*d^7*n*x^(2/3)*log(c*(d + e*x^(1/3))^n))/e^7 - (2*a*b^2*d^8*n*x^(1/3)*log(c*(d + e*x^(1/3))^n))/e^8","B"
458,1,979,907,8.058912,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/3))^n))^3,x)","\frac{a^3\,x^2}{2}+\frac{b^3\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{2}-\frac{b^3\,n^3\,x^2}{72}+\frac{3\,a\,b^2\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2}-\frac{b^3\,n\,x^2\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4}+\frac{b^3\,n^2\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{12}+\frac{a\,b^2\,n^2\,x^2}{12}-\frac{b^3\,d^6\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3}{2\,e^6}+\frac{3\,a^2\,b\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2}-\frac{a^2\,b\,n\,x^2}{4}-\frac{a\,b^2\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2}-\frac{13489\,b^3\,d^6\,n^3\,\ln\left(d+e\,x^{1/3}\right)}{1200\,e^6}-\frac{919\,b^3\,d^2\,n^3\,x^{4/3}}{4800\,e^2}-\frac{4669\,b^3\,d^4\,n^3\,x^{2/3}}{2400\,e^4}+\frac{13489\,b^3\,d^5\,n^3\,x^{1/3}}{1200\,e^5}-\frac{3\,a\,b^2\,d^6\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2\,e^6}+\frac{147\,b^3\,d^6\,n\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{40\,e^6}+\frac{2059\,b^3\,d^3\,n^3\,x}{3600\,e^3}+\frac{91\,b^3\,d\,n^3\,x^{5/3}}{1500\,e}-\frac{3\,a^2\,b\,d^6\,n\,\ln\left(d+e\,x^{1/3}\right)}{2\,e^6}+\frac{b^3\,d^3\,n\,x\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2\,e^3}-\frac{19\,b^3\,d^3\,n^2\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{20\,e^3}+\frac{3\,b^3\,d\,n\,x^{5/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{10\,e}-\frac{11\,b^3\,d\,n^2\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{50\,e}-\frac{19\,a\,b^2\,d^3\,n^2\,x}{20\,e^3}-\frac{11\,a\,b^2\,d\,n^2\,x^{5/3}}{50\,e}-\frac{3\,a^2\,b\,d^2\,n\,x^{4/3}}{8\,e^2}-\frac{3\,a^2\,b\,d^4\,n\,x^{2/3}}{4\,e^4}+\frac{3\,a^2\,b\,d^5\,n\,x^{1/3}}{2\,e^5}+\frac{147\,a\,b^2\,d^6\,n^2\,\ln\left(d+e\,x^{1/3}\right)}{20\,e^6}-\frac{3\,b^3\,d^2\,n\,x^{4/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{8\,e^2}+\frac{37\,b^3\,d^2\,n^2\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{80\,e^2}-\frac{3\,b^3\,d^4\,n\,x^{2/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{4\,e^4}+\frac{87\,b^3\,d^4\,n^2\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{40\,e^4}+\frac{3\,b^3\,d^5\,n\,x^{1/3}\,{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2}{2\,e^5}-\frac{147\,b^3\,d^5\,n^2\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{20\,e^5}+\frac{37\,a\,b^2\,d^2\,n^2\,x^{4/3}}{80\,e^2}+\frac{87\,a\,b^2\,d^4\,n^2\,x^{2/3}}{40\,e^4}-\frac{147\,a\,b^2\,d^5\,n^2\,x^{1/3}}{20\,e^5}+\frac{a^2\,b\,d^3\,n\,x}{2\,e^3}+\frac{3\,a^2\,b\,d\,n\,x^{5/3}}{10\,e}+\frac{a\,b^2\,d^3\,n\,x\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{e^3}+\frac{3\,a\,b^2\,d\,n\,x^{5/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{5\,e}-\frac{3\,a\,b^2\,d^2\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{4\,e^2}-\frac{3\,a\,b^2\,d^4\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{2\,e^4}+\frac{3\,a\,b^2\,d^5\,n\,x^{1/3}\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}{e^5}","Not used",1,"(a^3*x^2)/2 + (b^3*x^2*log(c*(d + e*x^(1/3))^n)^3)/2 - (b^3*n^3*x^2)/72 + (3*a*b^2*x^2*log(c*(d + e*x^(1/3))^n)^2)/2 - (b^3*n*x^2*log(c*(d + e*x^(1/3))^n)^2)/4 + (b^3*n^2*x^2*log(c*(d + e*x^(1/3))^n))/12 + (a*b^2*n^2*x^2)/12 - (b^3*d^6*log(c*(d + e*x^(1/3))^n)^3)/(2*e^6) + (3*a^2*b*x^2*log(c*(d + e*x^(1/3))^n))/2 - (a^2*b*n*x^2)/4 - (a*b^2*n*x^2*log(c*(d + e*x^(1/3))^n))/2 - (13489*b^3*d^6*n^3*log(d + e*x^(1/3)))/(1200*e^6) - (919*b^3*d^2*n^3*x^(4/3))/(4800*e^2) - (4669*b^3*d^4*n^3*x^(2/3))/(2400*e^4) + (13489*b^3*d^5*n^3*x^(1/3))/(1200*e^5) - (3*a*b^2*d^6*log(c*(d + e*x^(1/3))^n)^2)/(2*e^6) + (147*b^3*d^6*n*log(c*(d + e*x^(1/3))^n)^2)/(40*e^6) + (2059*b^3*d^3*n^3*x)/(3600*e^3) + (91*b^3*d*n^3*x^(5/3))/(1500*e) - (3*a^2*b*d^6*n*log(d + e*x^(1/3)))/(2*e^6) + (b^3*d^3*n*x*log(c*(d + e*x^(1/3))^n)^2)/(2*e^3) - (19*b^3*d^3*n^2*x*log(c*(d + e*x^(1/3))^n))/(20*e^3) + (3*b^3*d*n*x^(5/3)*log(c*(d + e*x^(1/3))^n)^2)/(10*e) - (11*b^3*d*n^2*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(50*e) - (19*a*b^2*d^3*n^2*x)/(20*e^3) - (11*a*b^2*d*n^2*x^(5/3))/(50*e) - (3*a^2*b*d^2*n*x^(4/3))/(8*e^2) - (3*a^2*b*d^4*n*x^(2/3))/(4*e^4) + (3*a^2*b*d^5*n*x^(1/3))/(2*e^5) + (147*a*b^2*d^6*n^2*log(d + e*x^(1/3)))/(20*e^6) - (3*b^3*d^2*n*x^(4/3)*log(c*(d + e*x^(1/3))^n)^2)/(8*e^2) + (37*b^3*d^2*n^2*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(80*e^2) - (3*b^3*d^4*n*x^(2/3)*log(c*(d + e*x^(1/3))^n)^2)/(4*e^4) + (87*b^3*d^4*n^2*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(40*e^4) + (3*b^3*d^5*n*x^(1/3)*log(c*(d + e*x^(1/3))^n)^2)/(2*e^5) - (147*b^3*d^5*n^2*x^(1/3)*log(c*(d + e*x^(1/3))^n))/(20*e^5) + (37*a*b^2*d^2*n^2*x^(4/3))/(80*e^2) + (87*a*b^2*d^4*n^2*x^(2/3))/(40*e^4) - (147*a*b^2*d^5*n^2*x^(1/3))/(20*e^5) + (a^2*b*d^3*n*x)/(2*e^3) + (3*a^2*b*d*n*x^(5/3))/(10*e) + (a*b^2*d^3*n*x*log(c*(d + e*x^(1/3))^n))/e^3 + (3*a*b^2*d*n*x^(5/3)*log(c*(d + e*x^(1/3))^n))/(5*e) - (3*a*b^2*d^2*n*x^(4/3)*log(c*(d + e*x^(1/3))^n))/(4*e^2) - (3*a*b^2*d^4*n*x^(2/3)*log(c*(d + e*x^(1/3))^n))/(2*e^4) + (3*a*b^2*d^5*n*x^(1/3)*log(c*(d + e*x^(1/3))^n))/e^5","B"
459,1,558,438,0.687689,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^3,x)","x\,\left(a^3-a^2\,b\,n+\frac{2\,a\,b^2\,n^2}{3}-\frac{2\,b^3\,n^3}{9}\right)-x^{2/3}\,\left(\frac{d\,\left(3\,a^3-3\,a^2\,b\,n+2\,a\,b^2\,n^2-\frac{2\,b^3\,n^3}{3}\right)}{2\,e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{4\,e}\right)+{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^3\,\left(b^3\,x+\frac{b^3\,d^3}{e^3}\right)+{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)}^2\,\left(\frac{d\,\left(6\,a\,b^2\,d^2-11\,b^3\,d^2\,n\right)}{2\,e^3}-x^{2/3}\,\left(\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{9\,a\,b^2\,d}{2\,e}\right)+b^2\,x\,\left(3\,a-b\,n\right)+\frac{d\,x^{1/3}\,\left(\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{e}-\frac{9\,a\,b^2\,d}{e}\right)}{e}\right)+x^{1/3}\,\left(\frac{d\,\left(\frac{d\,\left(3\,a^3-3\,a^2\,b\,n+2\,a\,b^2\,n^2-\frac{2\,b^3\,n^3}{3}\right)}{e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{2\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(6\,a-11\,b\,n\right)}{e^2}\right)+\frac{\ln\left(d+e\,x^{1/3}\right)\,\left(18\,a^2\,b\,d^3\,n-66\,a\,b^2\,d^3\,n^2+85\,b^3\,d^3\,n^3\right)}{6\,e^3}+\frac{\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\,\left(\frac{x^{1/3}\,\left(\frac{d\,\left(b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-3\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{e}+6\,b^3\,d^2\,n^2\right)}{e}-\frac{x^{2/3}\,\left(b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-3\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{2\,e}+\frac{b\,e\,x\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)}{3}\right)}{e}","Not used",1,"x*(a^3 - (2*b^3*n^3)/9 + (2*a*b^2*n^2)/3 - a^2*b*n) - x^(2/3)*((d*(3*a^3 - (2*b^3*n^3)/3 + 2*a*b^2*n^2 - 3*a^2*b*n))/(2*e) - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(4*e)) + log(c*(d + e*x^(1/3))^n)^3*(b^3*x + (b^3*d^3)/e^3) + log(c*(d + e*x^(1/3))^n)^2*((d*(6*a*b^2*d^2 - 11*b^3*d^2*n))/(2*e^3) - x^(2/3)*((3*b^2*d*(3*a - b*n))/(2*e) - (9*a*b^2*d)/(2*e)) + b^2*x*(3*a - b*n) + (d*x^(1/3)*((3*b^2*d*(3*a - b*n))/e - (9*a*b^2*d)/e))/e) + x^(1/3)*((d*((d*(3*a^3 - (2*b^3*n^3)/3 + 2*a*b^2*n^2 - 3*a^2*b*n))/e - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(2*e)))/e + (b^2*d^2*n^2*(6*a - 11*b*n))/e^2) + (log(d + e*x^(1/3))*(85*b^3*d^3*n^3 - 66*a*b^2*d^3*n^2 + 18*a^2*b*d^3*n))/(6*e^3) + (log(c*(d + e*x^(1/3))^n)*((x^(1/3)*((d*(b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 3*b*d*e*(3*a^2 - b^2*n^2)))/e + 6*b^3*d^2*n^2))/e - (x^(2/3)*(b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 3*b*d*e*(3*a^2 - b^2*n^2)))/(2*e) + (b*e*x*(9*a^2 + 2*b^2*n^2 - 6*a*b*n))/3))/e","B"
460,0,-1,135,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^3/x, x)","F"
461,0,-1,439,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^3/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^3/x^2, x)","F"
462,0,-1,765,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^n))^3/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^n\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^n))^3/x^3, x)","F"
463,1,113,138,0.446233,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(2/3))^n)),x)","\frac{a\,x^4}{4}-\frac{b\,n\,x^4}{24}+\frac{b\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{4}+\frac{b\,d\,n\,x^{10/3}}{20\,e}-\frac{b\,d^6\,n\,\ln\left(d+e\,x^{2/3}\right)}{4\,e^6}+\frac{b\,d^3\,n\,x^2}{12\,e^3}-\frac{b\,d^2\,n\,x^{8/3}}{16\,e^2}-\frac{b\,d^4\,n\,x^{4/3}}{8\,e^4}+\frac{b\,d^5\,n\,x^{2/3}}{4\,e^5}","Not used",1,"(a*x^4)/4 - (b*n*x^4)/24 + (b*x^4*log(c*(d + e*x^(2/3))^n))/4 + (b*d*n*x^(10/3))/(20*e) - (b*d^6*n*log(d + e*x^(2/3)))/(4*e^6) + (b*d^3*n*x^2)/(12*e^3) - (b*d^2*n*x^(8/3))/(16*e^2) - (b*d^4*n*x^(4/3))/(8*e^4) + (b*d^5*n*x^(2/3))/(4*e^5)","B"
464,0,-1,130,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(2/3))^n)),x)","\int x^2\,\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right) \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(2/3))^n)), x)","F"
465,1,74,89,0.389528,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(2/3))^n)),x)","\frac{a\,x^2}{2}-\frac{b\,n\,x^2}{6}+\frac{b\,x^2\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2}+\frac{b\,d\,n\,x^{4/3}}{4\,e}+\frac{b\,d^3\,n\,\ln\left(d+e\,x^{2/3}\right)}{2\,e^3}-\frac{b\,d^2\,n\,x^{2/3}}{2\,e^2}","Not used",1,"(a*x^2)/2 - (b*n*x^2)/6 + (b*x^2*log(c*(d + e*x^(2/3))^n))/2 + (b*d*n*x^(4/3))/(4*e) + (b*d^3*n*log(d + e*x^(2/3)))/(2*e^3) - (b*d^2*n*x^(2/3))/(2*e^2)","B"
466,1,56,72,0.393564,"\text{Not used}","int(a + b*log(c*(d + e*x^(2/3))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)-\frac{2\,b\,n\,x}{3}+\frac{2\,b\,d\,n\,x^{1/3}}{e}-\frac{2\,b\,d^{3/2}\,n\,\mathrm{atan}\left(\frac{\sqrt{e}\,x^{1/3}}{\sqrt{d}}\right)}{e^{3/2}}","Not used",1,"a*x + b*x*log(c*(d + e*x^(2/3))^n) - (2*b*n*x)/3 + (2*b*d*n*x^(1/3))/e - (2*b*d^(3/2)*n*atan((e^(1/2)*x^(1/3))/d^(1/2)))/e^(3/2)","B"
467,0,-1,55,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))/x, x)","F"
468,0,-1,68,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))/x^2,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))/x^2, x)","F"
469,1,74,94,0.609568,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))/x^3,x)","-\frac{\frac{b\,e\,n}{2\,d}-\frac{b\,e^2\,n\,x^{2/3}}{d^2}}{2\,x^{4/3}}-\frac{a}{2\,x^2}-\frac{b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2\,x^2}-\frac{b\,e^3\,n\,\mathrm{atanh}\left(\frac{2\,e\,x^{2/3}}{d}+1\right)}{d^3}","Not used",1,"- ((b*e*n)/(2*d) - (b*e^2*n*x^(2/3))/d^2)/(2*x^(4/3)) - a/(2*x^2) - (b*log(c*(d + e*x^(2/3))^n))/(2*x^2) - (b*e^3*n*atanh((2*e*x^(2/3))/d + 1))/d^3","B"
470,0,-1,123,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))/x^4,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))/x^4, x)","F"
471,1,440,482,1.753659,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(2/3))^n))^2,x)","\frac{a^2\,x^4}{4}+\frac{b^2\,x^4\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4}+\frac{b^2\,n^2\,x^4}{72}+\frac{a\,b\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2}-\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4\,e^6}-\frac{a\,b\,n\,x^4}{12}-\frac{b^2\,n\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{12}+\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+e\,x^{2/3}\right)}{40\,e^6}-\frac{19\,b^2\,d^3\,n^2\,x^2}{120\,e^3}+\frac{37\,b^2\,d^2\,n^2\,x^{8/3}}{480\,e^2}+\frac{29\,b^2\,d^4\,n^2\,x^{4/3}}{80\,e^4}-\frac{49\,b^2\,d^5\,n^2\,x^{2/3}}{40\,e^5}-\frac{11\,b^2\,d\,n^2\,x^{10/3}}{300\,e}+\frac{b^2\,d^3\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{6\,e^3}-\frac{b^2\,d^2\,n\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{8\,e^2}-\frac{b^2\,d^4\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{4\,e^4}+\frac{b^2\,d^5\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2\,e^5}+\frac{a\,b\,d\,n\,x^{10/3}}{10\,e}-\frac{a\,b\,d^6\,n\,\ln\left(d+e\,x^{2/3}\right)}{2\,e^6}+\frac{b^2\,d\,n\,x^{10/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{10\,e}+\frac{a\,b\,d^3\,n\,x^2}{6\,e^3}-\frac{a\,b\,d^2\,n\,x^{8/3}}{8\,e^2}-\frac{a\,b\,d^4\,n\,x^{4/3}}{4\,e^4}+\frac{a\,b\,d^5\,n\,x^{2/3}}{2\,e^5}","Not used",1,"(a^2*x^4)/4 + (b^2*x^4*log(c*(d + e*x^(2/3))^n)^2)/4 + (b^2*n^2*x^4)/72 + (a*b*x^4*log(c*(d + e*x^(2/3))^n))/2 - (b^2*d^6*log(c*(d + e*x^(2/3))^n)^2)/(4*e^6) - (a*b*n*x^4)/12 - (b^2*n*x^4*log(c*(d + e*x^(2/3))^n))/12 + (49*b^2*d^6*n^2*log(d + e*x^(2/3)))/(40*e^6) - (19*b^2*d^3*n^2*x^2)/(120*e^3) + (37*b^2*d^2*n^2*x^(8/3))/(480*e^2) + (29*b^2*d^4*n^2*x^(4/3))/(80*e^4) - (49*b^2*d^5*n^2*x^(2/3))/(40*e^5) - (11*b^2*d*n^2*x^(10/3))/(300*e) + (b^2*d^3*n*x^2*log(c*(d + e*x^(2/3))^n))/(6*e^3) - (b^2*d^2*n*x^(8/3)*log(c*(d + e*x^(2/3))^n))/(8*e^2) - (b^2*d^4*n*x^(4/3)*log(c*(d + e*x^(2/3))^n))/(4*e^4) + (b^2*d^5*n*x^(2/3)*log(c*(d + e*x^(2/3))^n))/(2*e^5) + (a*b*d*n*x^(10/3))/(10*e) - (a*b*d^6*n*log(d + e*x^(2/3)))/(2*e^6) + (b^2*d*n*x^(10/3)*log(c*(d + e*x^(2/3))^n))/(10*e) + (a*b*d^3*n*x^2)/(6*e^3) - (a*b*d^2*n*x^(8/3))/(8*e^2) - (a*b*d^4*n*x^(4/3))/(4*e^4) + (a*b*d^5*n*x^(2/3))/(2*e^5)","B"
472,1,299,275,0.528750,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(2/3))^n))^2,x)","{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2\,\left(\frac{b^2\,x^2}{2}+\frac{b^2\,d^3}{2\,e^3}\right)-x^{4/3}\,\left(\frac{d\,\left(\frac{3\,a^2}{2}-a\,b\,n+\frac{b^2\,n^2}{3}\right)}{2\,e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{4\,e}\right)+x^2\,\left(\frac{a^2}{2}-\frac{a\,b\,n}{3}+\frac{b^2\,n^2}{9}\right)+\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\,\left(\frac{b\,x^2\,\left(3\,a-b\,n\right)}{3}-x^{4/3}\,\left(\frac{b\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{3\,a\,b\,d}{2\,e}\right)+\frac{d\,x^{2/3}\,\left(\frac{b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{3\,a\,b\,d}{e}\right)}{e}\right)+x^{2/3}\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a^2}{2}-a\,b\,n+\frac{b^2\,n^2}{3}\right)}{e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{2\,e}\right)}{e}+\frac{b^2\,d^2\,n^2}{e^2}\right)-\frac{\ln\left(d+e\,x^{2/3}\right)\,\left(11\,b^2\,d^3\,n^2-6\,a\,b\,d^3\,n\right)}{6\,e^3}","Not used",1,"log(c*(d + e*x^(2/3))^n)^2*((b^2*x^2)/2 + (b^2*d^3)/(2*e^3)) - x^(4/3)*((d*((3*a^2)/2 + (b^2*n^2)/3 - a*b*n))/(2*e) - (d*(3*a^2 - b^2*n^2))/(4*e)) + x^2*(a^2/2 + (b^2*n^2)/9 - (a*b*n)/3) + log(c*(d + e*x^(2/3))^n)*((b*x^2*(3*a - b*n))/3 - x^(4/3)*((b*d*(3*a - b*n))/(2*e) - (3*a*b*d)/(2*e)) + (d*x^(2/3)*((b*d*(3*a - b*n))/e - (3*a*b*d)/e))/e) + x^(2/3)*((d*((d*((3*a^2)/2 + (b^2*n^2)/3 - a*b*n))/e - (d*(3*a^2 - b^2*n^2))/(2*e)))/e + (b^2*d^2*n^2)/e^2) - (log(d + e*x^(2/3))*(11*b^2*d^3*n^2 - 6*a*b*d^3*n))/(6*e^3)","B"
473,0,-1,95,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x, x)","F"
474,0,-1,238,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^3, x)","F"
475,0,-1,412,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^5,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x^5} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^5, x)","F"
476,0,-1,547,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(2/3))^n))^2,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(2/3))^n))^2, x)","F"
477,0,-1,364,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2, x)","F"
478,0,-1,298,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^2, x)","F"
479,0,-1,476,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^4, x)","F"
480,0,-1,640,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^6,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^2}{x^6} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^2/x^6, x)","F"
481,1,992,913,8.103900,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(2/3))^n))^3,x)","\frac{a^3\,x^4}{4}+\frac{b^3\,x^4\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^3}{4}-\frac{b^3\,n^3\,x^4}{144}+\frac{3\,a\,b^2\,x^4\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4}-\frac{b^3\,n\,x^4\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{8}+\frac{b^3\,n^2\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{24}+\frac{a\,b^2\,n^2\,x^4}{24}-\frac{b^3\,d^6\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^3}{4\,e^6}+\frac{3\,a^2\,b\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{4}-\frac{a^2\,b\,n\,x^4}{8}-\frac{a\,b^2\,n\,x^4\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{4}-\frac{13489\,b^3\,d^6\,n^3\,\ln\left(d+e\,x^{2/3}\right)}{2400\,e^6}+\frac{2059\,b^3\,d^3\,n^3\,x^2}{7200\,e^3}-\frac{919\,b^3\,d^2\,n^3\,x^{8/3}}{9600\,e^2}-\frac{4669\,b^3\,d^4\,n^3\,x^{4/3}}{4800\,e^4}+\frac{13489\,b^3\,d^5\,n^3\,x^{2/3}}{2400\,e^5}-\frac{3\,a\,b^2\,d^6\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4\,e^6}+\frac{147\,b^3\,d^6\,n\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{80\,e^6}+\frac{91\,b^3\,d\,n^3\,x^{10/3}}{3000\,e}-\frac{3\,a^2\,b\,d^6\,n\,\ln\left(d+e\,x^{2/3}\right)}{4\,e^6}+\frac{3\,b^3\,d\,n\,x^{10/3}\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{20\,e}-\frac{11\,b^3\,d\,n^2\,x^{10/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{100\,e}+\frac{a^2\,b\,d^3\,n\,x^2}{4\,e^3}-\frac{3\,a^2\,b\,d^2\,n\,x^{8/3}}{16\,e^2}-\frac{3\,a^2\,b\,d^4\,n\,x^{4/3}}{8\,e^4}+\frac{3\,a^2\,b\,d^5\,n\,x^{2/3}}{4\,e^5}-\frac{11\,a\,b^2\,d\,n^2\,x^{10/3}}{100\,e}+\frac{147\,a\,b^2\,d^6\,n^2\,\ln\left(d+e\,x^{2/3}\right)}{40\,e^6}+\frac{b^3\,d^3\,n\,x^2\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4\,e^3}-\frac{19\,b^3\,d^3\,n^2\,x^2\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{40\,e^3}-\frac{3\,b^3\,d^2\,n\,x^{8/3}\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{16\,e^2}+\frac{37\,b^3\,d^2\,n^2\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{160\,e^2}-\frac{3\,b^3\,d^4\,n\,x^{4/3}\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{8\,e^4}+\frac{87\,b^3\,d^4\,n^2\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{80\,e^4}+\frac{3\,b^3\,d^5\,n\,x^{2/3}\,{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2}{4\,e^5}-\frac{147\,b^3\,d^5\,n^2\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{40\,e^5}-\frac{19\,a\,b^2\,d^3\,n^2\,x^2}{40\,e^3}+\frac{37\,a\,b^2\,d^2\,n^2\,x^{8/3}}{160\,e^2}+\frac{87\,a\,b^2\,d^4\,n^2\,x^{4/3}}{80\,e^4}-\frac{147\,a\,b^2\,d^5\,n^2\,x^{2/3}}{40\,e^5}+\frac{3\,a^2\,b\,d\,n\,x^{10/3}}{20\,e}+\frac{3\,a\,b^2\,d\,n\,x^{10/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{10\,e}+\frac{a\,b^2\,d^3\,n\,x^2\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2\,e^3}-\frac{3\,a\,b^2\,d^2\,n\,x^{8/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{8\,e^2}-\frac{3\,a\,b^2\,d^4\,n\,x^{4/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{4\,e^4}+\frac{3\,a\,b^2\,d^5\,n\,x^{2/3}\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}{2\,e^5}","Not used",1,"(a^3*x^4)/4 + (b^3*x^4*log(c*(d + e*x^(2/3))^n)^3)/4 - (b^3*n^3*x^4)/144 + (3*a*b^2*x^4*log(c*(d + e*x^(2/3))^n)^2)/4 - (b^3*n*x^4*log(c*(d + e*x^(2/3))^n)^2)/8 + (b^3*n^2*x^4*log(c*(d + e*x^(2/3))^n))/24 + (a*b^2*n^2*x^4)/24 - (b^3*d^6*log(c*(d + e*x^(2/3))^n)^3)/(4*e^6) + (3*a^2*b*x^4*log(c*(d + e*x^(2/3))^n))/4 - (a^2*b*n*x^4)/8 - (a*b^2*n*x^4*log(c*(d + e*x^(2/3))^n))/4 - (13489*b^3*d^6*n^3*log(d + e*x^(2/3)))/(2400*e^6) + (2059*b^3*d^3*n^3*x^2)/(7200*e^3) - (919*b^3*d^2*n^3*x^(8/3))/(9600*e^2) - (4669*b^3*d^4*n^3*x^(4/3))/(4800*e^4) + (13489*b^3*d^5*n^3*x^(2/3))/(2400*e^5) - (3*a*b^2*d^6*log(c*(d + e*x^(2/3))^n)^2)/(4*e^6) + (147*b^3*d^6*n*log(c*(d + e*x^(2/3))^n)^2)/(80*e^6) + (91*b^3*d*n^3*x^(10/3))/(3000*e) - (3*a^2*b*d^6*n*log(d + e*x^(2/3)))/(4*e^6) + (3*b^3*d*n*x^(10/3)*log(c*(d + e*x^(2/3))^n)^2)/(20*e) - (11*b^3*d*n^2*x^(10/3)*log(c*(d + e*x^(2/3))^n))/(100*e) + (a^2*b*d^3*n*x^2)/(4*e^3) - (3*a^2*b*d^2*n*x^(8/3))/(16*e^2) - (3*a^2*b*d^4*n*x^(4/3))/(8*e^4) + (3*a^2*b*d^5*n*x^(2/3))/(4*e^5) - (11*a*b^2*d*n^2*x^(10/3))/(100*e) + (147*a*b^2*d^6*n^2*log(d + e*x^(2/3)))/(40*e^6) + (b^3*d^3*n*x^2*log(c*(d + e*x^(2/3))^n)^2)/(4*e^3) - (19*b^3*d^3*n^2*x^2*log(c*(d + e*x^(2/3))^n))/(40*e^3) - (3*b^3*d^2*n*x^(8/3)*log(c*(d + e*x^(2/3))^n)^2)/(16*e^2) + (37*b^3*d^2*n^2*x^(8/3)*log(c*(d + e*x^(2/3))^n))/(160*e^2) - (3*b^3*d^4*n*x^(4/3)*log(c*(d + e*x^(2/3))^n)^2)/(8*e^4) + (87*b^3*d^4*n^2*x^(4/3)*log(c*(d + e*x^(2/3))^n))/(80*e^4) + (3*b^3*d^5*n*x^(2/3)*log(c*(d + e*x^(2/3))^n)^2)/(4*e^5) - (147*b^3*d^5*n^2*x^(2/3)*log(c*(d + e*x^(2/3))^n))/(40*e^5) - (19*a*b^2*d^3*n^2*x^2)/(40*e^3) + (37*a*b^2*d^2*n^2*x^(8/3))/(160*e^2) + (87*a*b^2*d^4*n^2*x^(4/3))/(80*e^4) - (147*a*b^2*d^5*n^2*x^(2/3))/(40*e^5) + (3*a^2*b*d*n*x^(10/3))/(20*e) + (3*a*b^2*d*n*x^(10/3)*log(c*(d + e*x^(2/3))^n))/(10*e) + (a*b^2*d^3*n*x^2*log(c*(d + e*x^(2/3))^n))/(2*e^3) - (3*a*b^2*d^2*n*x^(8/3)*log(c*(d + e*x^(2/3))^n))/(8*e^2) - (3*a*b^2*d^4*n*x^(4/3)*log(c*(d + e*x^(2/3))^n))/(4*e^4) + (3*a*b^2*d^5*n*x^(2/3)*log(c*(d + e*x^(2/3))^n))/(2*e^5)","B"
482,1,575,449,0.722577,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(2/3))^n))^3,x)","{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^3\,\left(\frac{b^3\,x^2}{2}+\frac{b^3\,d^3}{2\,e^3}\right)-x^{4/3}\,\left(\frac{d\,\left(\frac{3\,a^3}{2}-\frac{3\,a^2\,b\,n}{2}+a\,b^2\,n^2-\frac{b^3\,n^3}{3}\right)}{2\,e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{8\,e}\right)+{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)}^2\,\left(\frac{b^2\,x^2\,\left(3\,a-b\,n\right)}{2}-\frac{x^{4/3}\,\left(\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{9\,a\,b^2\,d}{2\,e}\right)}{2}+\frac{d\,\left(6\,a\,b^2\,d^2-11\,b^3\,d^2\,n\right)}{4\,e^3}+\frac{d\,x^{2/3}\,\left(\frac{6\,b^2\,d\,\left(3\,a-b\,n\right)}{e}-\frac{18\,a\,b^2\,d}{e}\right)}{4\,e}\right)+x^{2/3}\,\left(\frac{d\,\left(\frac{d\,\left(\frac{3\,a^3}{2}-\frac{3\,a^2\,b\,n}{2}+a\,b^2\,n^2-\frac{b^3\,n^3}{3}\right)}{e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{4\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(6\,a-11\,b\,n\right)}{2\,e^2}\right)+x^2\,\left(\frac{a^3}{2}-\frac{a^2\,b\,n}{2}+\frac{a\,b^2\,n^2}{3}-\frac{b^3\,n^3}{9}\right)+\frac{\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\,\left(\frac{x^{2/3}\,\left(\frac{d\,\left(2\,b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-6\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{e}+12\,b^3\,d^2\,n^2\right)}{2\,e}-\frac{x^{4/3}\,\left(2\,b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-6\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{4\,e}+\frac{b\,e\,x^2\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)}{3}\right)}{2\,e}+\frac{\ln\left(d+e\,x^{2/3}\right)\,\left(18\,a^2\,b\,d^3\,n-66\,a\,b^2\,d^3\,n^2+85\,b^3\,d^3\,n^3\right)}{12\,e^3}","Not used",1,"log(c*(d + e*x^(2/3))^n)^3*((b^3*x^2)/2 + (b^3*d^3)/(2*e^3)) - x^(4/3)*((d*((3*a^3)/2 - (b^3*n^3)/3 + a*b^2*n^2 - (3*a^2*b*n)/2))/(2*e) - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(8*e)) + log(c*(d + e*x^(2/3))^n)^2*((b^2*x^2*(3*a - b*n))/2 - (x^(4/3)*((3*b^2*d*(3*a - b*n))/(2*e) - (9*a*b^2*d)/(2*e)))/2 + (d*(6*a*b^2*d^2 - 11*b^3*d^2*n))/(4*e^3) + (d*x^(2/3)*((6*b^2*d*(3*a - b*n))/e - (18*a*b^2*d)/e))/(4*e)) + x^(2/3)*((d*((d*((3*a^3)/2 - (b^3*n^3)/3 + a*b^2*n^2 - (3*a^2*b*n)/2))/e - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(4*e)))/e + (b^2*d^2*n^2*(6*a - 11*b*n))/(2*e^2)) + x^2*(a^3/2 - (b^3*n^3)/9 + (a*b^2*n^2)/3 - (a^2*b*n)/2) + (log(c*(d + e*x^(2/3))^n)*((x^(2/3)*((d*(2*b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 6*b*d*e*(3*a^2 - b^2*n^2)))/e + 12*b^3*d^2*n^2))/(2*e) - (x^(4/3)*(2*b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 6*b*d*e*(3*a^2 - b^2*n^2)))/(4*e) + (b*e*x^2*(9*a^2 + 2*b^2*n^2 - 6*a*b*n))/3))/(2*e) + (log(d + e*x^(2/3))*(85*b^3*d^3*n^3 - 66*a*b^2*d^3*n^2 + 18*a^2*b*d^3*n))/(12*e^3)","B"
483,0,-1,139,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^3/x, x)","F"
484,0,-1,451,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^3, x)","F"
485,0,-1,794,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(2/3))^n))^3,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3 \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e*x^(2/3))^n))^3, x)","F"
486,0,-1,486,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^3,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3 \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^n))^3, x)","F"
487,0,-1,319,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^2, x)","F"
488,0,-1,632,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^n\right)\right)}^3}{x^4} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^n))^3/x^4, x)","F"
489,1,191,239,0.795669,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(1/3))^n)),x)","\frac{\frac{a\,d^{12}\,x^4}{4}-\frac{b\,e^{12}\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,x^{1/3}}+1\right)}{2}+\frac{b\,d^{12}\,x^4\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{4}+\frac{b\,d^3\,e^9\,n\,x}{12}+\frac{b\,d\,e^{11}\,n\,x^{1/3}}{4}+\frac{b\,d^{11}\,e\,n\,x^{11/3}}{44}-\frac{b\,d^6\,e^6\,n\,x^2}{24}+\frac{b\,d^9\,e^3\,n\,x^3}{36}-\frac{b\,d^2\,e^{10}\,n\,x^{2/3}}{8}-\frac{b\,d^4\,e^8\,n\,x^{4/3}}{16}+\frac{b\,d^5\,e^7\,n\,x^{5/3}}{20}+\frac{b\,d^7\,e^5\,n\,x^{7/3}}{28}-\frac{b\,d^8\,e^4\,n\,x^{8/3}}{32}-\frac{b\,d^{10}\,e^2\,n\,x^{10/3}}{40}}{d^{12}}","Not used",1,"((a*d^12*x^4)/4 - (b*e^12*n*atanh((2*e)/(d*x^(1/3)) + 1))/2 + (b*d^12*x^4*log(c*(d + e/x^(1/3))^n))/4 + (b*d^3*e^9*n*x)/12 + (b*d*e^11*n*x^(1/3))/4 + (b*d^11*e*n*x^(11/3))/44 - (b*d^6*e^6*n*x^2)/24 + (b*d^9*e^3*n*x^3)/36 - (b*d^2*e^10*n*x^(2/3))/8 - (b*d^4*e^8*n*x^(4/3))/16 + (b*d^5*e^7*n*x^(5/3))/20 + (b*d^7*e^5*n*x^(7/3))/28 - (b*d^8*e^4*n*x^(8/3))/32 - (b*d^10*e^2*n*x^(10/3))/40)/d^12","B"
490,1,153,190,0.676921,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(1/3))^n)),x)","\frac{840\,a\,d^9\,x^3+1680\,b\,e^9\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,x^{1/3}}+1\right)+840\,b\,d^9\,x^3\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)-280\,b\,d^3\,e^6\,n\,x-840\,b\,d\,e^8\,n\,x^{1/3}+105\,b\,d^8\,e\,n\,x^{8/3}+140\,b\,d^6\,e^3\,n\,x^2+420\,b\,d^2\,e^7\,n\,x^{2/3}+210\,b\,d^4\,e^5\,n\,x^{4/3}-168\,b\,d^5\,e^4\,n\,x^{5/3}-120\,b\,d^7\,e^2\,n\,x^{7/3}}{2520\,d^9}","Not used",1,"(840*a*d^9*x^3 + 1680*b*e^9*n*atanh((2*e)/(d*x^(1/3)) + 1) + 840*b*d^9*x^3*log(c*(d + e/x^(1/3))^n) - 280*b*d^3*e^6*n*x - 840*b*d*e^8*n*x^(1/3) + 105*b*d^8*e*n*x^(8/3) + 140*b*d^6*e^3*n*x^2 + 420*b*d^2*e^7*n*x^(2/3) + 210*b*d^4*e^5*n*x^(4/3) - 168*b*d^5*e^4*n*x^(5/3) - 120*b*d^7*e^2*n*x^(7/3))/(2520*d^9)","B"
491,1,112,141,0.792357,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/3))^n)),x)","\frac{x^{5/3}\,\left(\frac{b\,e\,n}{5\,d}-\frac{b\,e^2\,n}{4\,d^2\,x^{1/3}}-\frac{b\,e^4\,n}{2\,d^4\,x}+\frac{b\,e^3\,n}{3\,d^3\,x^{2/3}}+\frac{b\,e^5\,n}{d^5\,x^{4/3}}\right)}{2}+\frac{a\,x^2}{2}+\frac{b\,x^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2}-\frac{b\,e^6\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,x^{1/3}}+1\right)}{d^6}","Not used",1,"(x^(5/3)*((b*e*n)/(5*d) - (b*e^2*n)/(4*d^2*x^(1/3)) - (b*e^4*n)/(2*d^4*x) + (b*e^3*n)/(3*d^3*x^(2/3)) + (b*e^5*n)/(d^5*x^(4/3))))/2 + (a*x^2)/2 + (b*x^2*log(c*(d + e/x^(1/3))^n))/2 - (b*e^6*n*atanh((2*e)/(d*x^(1/3)) + 1))/d^6","B"
492,1,59,70,0.470289,"\text{Not used}","int(a + b*log(c*(d + e/x^(1/3))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)+\frac{b\,\left(2\,e^3\,n\,\ln\left(e+d\,x^{1/3}\right)-2\,d\,e^2\,n\,x^{1/3}+d^2\,e\,n\,x^{2/3}\right)}{2\,d^3}","Not used",1,"a*x + b*x*log(c*(d + e/x^(1/3))^n) + (b*(2*e^3*n*log(e + d*x^(1/3)) - 2*d*e^2*n*x^(1/3) + d^2*e*n*x^(2/3)))/(2*d^3)","B"
493,0,-1,51,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^n))/x, x)","F"
494,1,73,82,0.429685,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))/x^2,x)","\frac{b\,n}{3\,x}-\frac{a}{x}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{x}-\frac{b\,d\,n}{2\,e\,x^{2/3}}-\frac{b\,d^3\,n\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{e^3}+\frac{b\,d^2\,n}{e^2\,x^{1/3}}","Not used",1,"(b*n)/(3*x) - a/x - (b*log(c*(d + e/x^(1/3))^n))/x - (b*d*n)/(2*e*x^(2/3)) - (b*d^3*n*log(d + e/x^(1/3)))/e^3 + (b*d^2*n)/(e^2*x^(1/3))","B"
495,1,113,138,0.463943,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))/x^3,x)","\frac{b\,n}{12\,x^2}-\frac{a}{2\,x^2}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2\,x^2}-\frac{b\,d\,n}{10\,e\,x^{5/3}}+\frac{b\,d^6\,n\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{2\,e^6}-\frac{b\,d^3\,n}{6\,e^3\,x}+\frac{b\,d^2\,n}{8\,e^2\,x^{4/3}}+\frac{b\,d^4\,n}{4\,e^4\,x^{2/3}}-\frac{b\,d^5\,n}{2\,e^5\,x^{1/3}}","Not used",1,"(b*n)/(12*x^2) - a/(2*x^2) - (b*log(c*(d + e/x^(1/3))^n))/(2*x^2) - (b*d*n)/(10*e*x^(5/3)) + (b*d^6*n*log(d + e/x^(1/3)))/(2*e^6) - (b*d^3*n)/(6*e^3*x) + (b*d^2*n)/(8*e^2*x^(4/3)) + (b*d^4*n)/(4*e^4*x^(2/3)) - (b*d^5*n)/(2*e^5*x^(1/3))","B"
496,1,152,187,0.525961,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))/x^4,x)","\frac{b\,n}{27\,x^3}-\frac{a}{3\,x^3}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{3\,x^3}-\frac{b\,d\,n}{24\,e\,x^{8/3}}-\frac{b\,d^9\,n\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{3\,e^9}-\frac{b\,d^3\,n}{18\,e^3\,x^2}+\frac{b\,d^6\,n}{9\,e^6\,x}+\frac{b\,d^2\,n}{21\,e^2\,x^{7/3}}+\frac{b\,d^4\,n}{15\,e^4\,x^{5/3}}-\frac{b\,d^5\,n}{12\,e^5\,x^{4/3}}-\frac{b\,d^7\,n}{6\,e^7\,x^{2/3}}+\frac{b\,d^8\,n}{3\,e^8\,x^{1/3}}","Not used",1,"(b*n)/(27*x^3) - a/(3*x^3) - (b*log(c*(d + e/x^(1/3))^n))/(3*x^3) - (b*d*n)/(24*e*x^(8/3)) - (b*d^9*n*log(d + e/x^(1/3)))/(3*e^9) - (b*d^3*n)/(18*e^3*x^2) + (b*d^6*n)/(9*e^6*x) + (b*d^2*n)/(21*e^2*x^(7/3)) + (b*d^4*n)/(15*e^4*x^(5/3)) - (b*d^5*n)/(12*e^5*x^(4/3)) - (b*d^7*n)/(6*e^7*x^(2/3)) + (b*d^8*n)/(3*e^8*x^(1/3))","B"
497,0,-1,572,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(1/3))^n))^2,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e/x^(1/3))^n))^2, x)","F"
498,0,-1,400,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/3))^n))^2,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(1/3))^n))^2, x)","F"
499,0,-1,227,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^2,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^n))^2, x)","F"
500,0,-1,93,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^n))^2/x, x)","F"
501,1,299,269,0.563761,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^2/x^2,x)","\frac{\frac{d\,\left(3\,a^2-2\,a\,b\,n+\frac{2\,b^2\,n^2}{3}\right)}{2\,e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{2\,e}}{x^{2/3}}-{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2\,\left(\frac{b^2}{x}+\frac{b^2\,d^3}{e^3}\right)-\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\,\left(\frac{2\,b\,\left(3\,a-b\,n\right)}{3\,x}-\frac{\frac{b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{3\,a\,b\,d}{e}}{x^{2/3}}+\frac{d\,\left(\frac{2\,b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{6\,a\,b\,d}{e}\right)}{e\,x^{1/3}}\right)-\frac{\frac{d\,\left(\frac{d\,\left(3\,a^2-2\,a\,b\,n+\frac{2\,b^2\,n^2}{3}\right)}{e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{e}\right)}{e}+\frac{2\,b^2\,d^2\,n^2}{e^2}}{x^{1/3}}-\frac{a^2-\frac{2\,a\,b\,n}{3}+\frac{2\,b^2\,n^2}{9}}{x}+\frac{\ln\left(d+\frac{e}{x^{1/3}}\right)\,\left(11\,b^2\,d^3\,n^2-6\,a\,b\,d^3\,n\right)}{3\,e^3}","Not used",1,"((d*(3*a^2 + (2*b^2*n^2)/3 - 2*a*b*n))/(2*e) - (d*(3*a^2 - b^2*n^2))/(2*e))/x^(2/3) - log(c*(d + e/x^(1/3))^n)^2*(b^2/x + (b^2*d^3)/e^3) - log(c*(d + e/x^(1/3))^n)*((2*b*(3*a - b*n))/(3*x) - ((b*d*(3*a - b*n))/e - (3*a*b*d)/e)/x^(2/3) + (d*((2*b*d*(3*a - b*n))/e - (6*a*b*d)/e))/(e*x^(1/3))) - ((d*((d*(3*a^2 + (2*b^2*n^2)/3 - 2*a*b*n))/e - (d*(3*a^2 - b^2*n^2))/e))/e + (2*b^2*d^2*n^2)/e^2)/x^(1/3) - (a^2 + (2*b^2*n^2)/9 - (2*a*b*n)/3)/x + (log(d + e/x^(1/3))*(11*b^2*d^3*n^2 - 6*a*b*d^3*n))/(3*e^3)","B"
502,1,439,479,1.761534,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^2/x^3,x)","\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,e^6}-\frac{b^2\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,x^2}-\frac{b^2\,n^2}{36\,x^2}-\frac{a\,b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{x^2}-\frac{a^2}{2\,x^2}+\frac{a\,b\,n}{6\,x^2}+\frac{b^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{6\,x^2}-\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{20\,e^6}+\frac{19\,b^2\,d^3\,n^2}{60\,e^3\,x}-\frac{37\,b^2\,d^2\,n^2}{240\,e^2\,x^{4/3}}-\frac{29\,b^2\,d^4\,n^2}{40\,e^4\,x^{2/3}}+\frac{49\,b^2\,d^5\,n^2}{20\,e^5\,x^{1/3}}+\frac{11\,b^2\,d\,n^2}{150\,e\,x^{5/3}}-\frac{b^2\,d^3\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{3\,e^3\,x}+\frac{b^2\,d^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{4\,e^2\,x^{4/3}}+\frac{b^2\,d^4\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2\,e^4\,x^{2/3}}-\frac{b^2\,d^5\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{e^5\,x^{1/3}}-\frac{a\,b\,d\,n}{5\,e\,x^{5/3}}+\frac{a\,b\,d^6\,n\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{e^6}-\frac{b^2\,d\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{5\,e\,x^{5/3}}-\frac{a\,b\,d^3\,n}{3\,e^3\,x}+\frac{a\,b\,d^2\,n}{4\,e^2\,x^{4/3}}+\frac{a\,b\,d^4\,n}{2\,e^4\,x^{2/3}}-\frac{a\,b\,d^5\,n}{e^5\,x^{1/3}}","Not used",1,"(b^2*d^6*log(c*(d + e/x^(1/3))^n)^2)/(2*e^6) - (b^2*log(c*(d + e/x^(1/3))^n)^2)/(2*x^2) - (b^2*n^2)/(36*x^2) - (a*b*log(c*(d + e/x^(1/3))^n))/x^2 - a^2/(2*x^2) + (a*b*n)/(6*x^2) + (b^2*n*log(c*(d + e/x^(1/3))^n))/(6*x^2) - (49*b^2*d^6*n^2*log(d + e/x^(1/3)))/(20*e^6) + (19*b^2*d^3*n^2)/(60*e^3*x) - (37*b^2*d^2*n^2)/(240*e^2*x^(4/3)) - (29*b^2*d^4*n^2)/(40*e^4*x^(2/3)) + (49*b^2*d^5*n^2)/(20*e^5*x^(1/3)) + (11*b^2*d*n^2)/(150*e*x^(5/3)) - (b^2*d^3*n*log(c*(d + e/x^(1/3))^n))/(3*e^3*x) + (b^2*d^2*n*log(c*(d + e/x^(1/3))^n))/(4*e^2*x^(4/3)) + (b^2*d^4*n*log(c*(d + e/x^(1/3))^n))/(2*e^4*x^(2/3)) - (b^2*d^5*n*log(c*(d + e/x^(1/3))^n))/(e^5*x^(1/3)) - (a*b*d*n)/(5*e*x^(5/3)) + (a*b*d^6*n*log(d + e/x^(1/3)))/e^6 - (b^2*d*n*log(c*(d + e/x^(1/3))^n))/(5*e*x^(5/3)) - (a*b*d^3*n)/(3*e^3*x) + (a*b*d^2*n)/(4*e^2*x^(4/3)) + (a*b*d^4*n)/(2*e^4*x^(2/3)) - (a*b*d^5*n)/(e^5*x^(1/3))","B"
503,0,-1,759,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/3))^n))^3,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(1/3))^n))^3, x)","F"
504,0,-1,436,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^3,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^n))^3, x)","F"
505,0,-1,135,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^n))^3/x, x)","F"
506,1,570,438,0.739712,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^3/x^2,x)","\frac{\frac{d\,\left(3\,a^3-3\,a^2\,b\,n+2\,a\,b^2\,n^2-\frac{2\,b^3\,n^3}{3}\right)}{2\,e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{4\,e}}{x^{2/3}}-{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^3\,\left(\frac{b^3}{x}+\frac{b^3\,d^3}{e^3}\right)-{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2\,\left(\frac{b^2\,\left(3\,a-b\,n\right)}{x}-\frac{\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{9\,a\,b^2\,d}{2\,e}}{x^{2/3}}+\frac{d\,\left(6\,a\,b^2\,d^2-11\,b^3\,d^2\,n\right)}{2\,e^3}+\frac{d\,\left(\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{e}-\frac{9\,a\,b^2\,d}{e}\right)}{e\,x^{1/3}}\right)-\frac{a^3-a^2\,b\,n+\frac{2\,a\,b^2\,n^2}{3}-\frac{2\,b^3\,n^3}{9}}{x}-\frac{\frac{d\,\left(\frac{d\,\left(3\,a^3-3\,a^2\,b\,n+2\,a\,b^2\,n^2-\frac{2\,b^3\,n^3}{3}\right)}{e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{2\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(6\,a-11\,b\,n\right)}{e^2}}{x^{1/3}}-\frac{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)\,\left(\frac{\frac{d\,\left(b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-3\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{e}+6\,b^3\,d^2\,n^2}{e\,x^{1/3}}-\frac{b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-3\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)}{2\,e\,x^{2/3}}+\frac{b\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)}{3\,x}\right)}{e}-\frac{\ln\left(d+\frac{e}{x^{1/3}}\right)\,\left(18\,a^2\,b\,d^3\,n-66\,a\,b^2\,d^3\,n^2+85\,b^3\,d^3\,n^3\right)}{6\,e^3}","Not used",1,"((d*(3*a^3 - (2*b^3*n^3)/3 + 2*a*b^2*n^2 - 3*a^2*b*n))/(2*e) - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(4*e))/x^(2/3) - log(c*(d + e/x^(1/3))^n)^3*(b^3/x + (b^3*d^3)/e^3) - log(c*(d + e/x^(1/3))^n)^2*((b^2*(3*a - b*n))/x - ((3*b^2*d*(3*a - b*n))/(2*e) - (9*a*b^2*d)/(2*e))/x^(2/3) + (d*(6*a*b^2*d^2 - 11*b^3*d^2*n))/(2*e^3) + (d*((3*b^2*d*(3*a - b*n))/e - (9*a*b^2*d)/e))/(e*x^(1/3))) - (a^3 - (2*b^3*n^3)/9 + (2*a*b^2*n^2)/3 - a^2*b*n)/x - ((d*((d*(3*a^3 - (2*b^3*n^3)/3 + 2*a*b^2*n^2 - 3*a^2*b*n))/e - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(2*e)))/e + (b^2*d^2*n^2*(6*a - 11*b*n))/e^2)/x^(1/3) - (log(c*(d + e/x^(1/3))^n)*(((d*(b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 3*b*d*e*(3*a^2 - b^2*n^2)))/e + 6*b^3*d^2*n^2)/(e*x^(1/3)) - (b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 3*b*d*e*(3*a^2 - b^2*n^2))/(2*e*x^(2/3)) + (b*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n))/(3*x)))/e - (log(d + e/x^(1/3))*(85*b^3*d^3*n^3 - 66*a*b^2*d^3*n^2 + 18*a^2*b*d^3*n))/(6*e^3)","B"
507,1,992,907,8.196439,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^n))^3/x^3,x)","\frac{b^3\,n^3}{72\,x^2}-\frac{b^3\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^3}{2\,x^2}-\frac{a^3}{2\,x^2}-\frac{3\,a\,b^2\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,x^2}+\frac{b^3\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{4\,x^2}-\frac{b^3\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{12\,x^2}-\frac{a\,b^2\,n^2}{12\,x^2}+\frac{b^3\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^3}{2\,e^6}-\frac{3\,a^2\,b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2\,x^2}+\frac{a^2\,b\,n}{4\,x^2}+\frac{a\,b^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2\,x^2}+\frac{13489\,b^3\,d^6\,n^3\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{1200\,e^6}-\frac{2059\,b^3\,d^3\,n^3}{3600\,e^3\,x}+\frac{919\,b^3\,d^2\,n^3}{4800\,e^2\,x^{4/3}}+\frac{4669\,b^3\,d^4\,n^3}{2400\,e^4\,x^{2/3}}-\frac{13489\,b^3\,d^5\,n^3}{1200\,e^5\,x^{1/3}}+\frac{3\,a\,b^2\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,e^6}-\frac{147\,b^3\,d^6\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{40\,e^6}-\frac{91\,b^3\,d\,n^3}{1500\,e\,x^{5/3}}+\frac{3\,a^2\,b\,d^6\,n\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{2\,e^6}-\frac{3\,b^3\,d\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{10\,e\,x^{5/3}}+\frac{11\,b^3\,d\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{50\,e\,x^{5/3}}-\frac{a^2\,b\,d^3\,n}{2\,e^3\,x}+\frac{11\,a\,b^2\,d\,n^2}{50\,e\,x^{5/3}}+\frac{3\,a^2\,b\,d^2\,n}{8\,e^2\,x^{4/3}}+\frac{3\,a^2\,b\,d^4\,n}{4\,e^4\,x^{2/3}}-\frac{3\,a^2\,b\,d^5\,n}{2\,e^5\,x^{1/3}}-\frac{147\,a\,b^2\,d^6\,n^2\,\ln\left(d+\frac{e}{x^{1/3}}\right)}{20\,e^6}-\frac{b^3\,d^3\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,e^3\,x}+\frac{19\,b^3\,d^3\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{20\,e^3\,x}+\frac{3\,b^3\,d^2\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{8\,e^2\,x^{4/3}}-\frac{37\,b^3\,d^2\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{80\,e^2\,x^{4/3}}+\frac{3\,b^3\,d^4\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{4\,e^4\,x^{2/3}}-\frac{87\,b^3\,d^4\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{40\,e^4\,x^{2/3}}-\frac{3\,b^3\,d^5\,n\,{\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}^2}{2\,e^5\,x^{1/3}}+\frac{147\,b^3\,d^5\,n^2\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{20\,e^5\,x^{1/3}}+\frac{19\,a\,b^2\,d^3\,n^2}{20\,e^3\,x}-\frac{37\,a\,b^2\,d^2\,n^2}{80\,e^2\,x^{4/3}}-\frac{87\,a\,b^2\,d^4\,n^2}{40\,e^4\,x^{2/3}}+\frac{147\,a\,b^2\,d^5\,n^2}{20\,e^5\,x^{1/3}}-\frac{3\,a^2\,b\,d\,n}{10\,e\,x^{5/3}}-\frac{3\,a\,b^2\,d\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{5\,e\,x^{5/3}}-\frac{a\,b^2\,d^3\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{e^3\,x}+\frac{3\,a\,b^2\,d^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{4\,e^2\,x^{4/3}}+\frac{3\,a\,b^2\,d^4\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{2\,e^4\,x^{2/3}}-\frac{3\,a\,b^2\,d^5\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^n\right)}{e^5\,x^{1/3}}","Not used",1,"(b^3*n^3)/(72*x^2) - (b^3*log(c*(d + e/x^(1/3))^n)^3)/(2*x^2) - a^3/(2*x^2) - (3*a*b^2*log(c*(d + e/x^(1/3))^n)^2)/(2*x^2) + (b^3*n*log(c*(d + e/x^(1/3))^n)^2)/(4*x^2) - (b^3*n^2*log(c*(d + e/x^(1/3))^n))/(12*x^2) - (a*b^2*n^2)/(12*x^2) + (b^3*d^6*log(c*(d + e/x^(1/3))^n)^3)/(2*e^6) - (3*a^2*b*log(c*(d + e/x^(1/3))^n))/(2*x^2) + (a^2*b*n)/(4*x^2) + (a*b^2*n*log(c*(d + e/x^(1/3))^n))/(2*x^2) + (13489*b^3*d^6*n^3*log(d + e/x^(1/3)))/(1200*e^6) - (2059*b^3*d^3*n^3)/(3600*e^3*x) + (919*b^3*d^2*n^3)/(4800*e^2*x^(4/3)) + (4669*b^3*d^4*n^3)/(2400*e^4*x^(2/3)) - (13489*b^3*d^5*n^3)/(1200*e^5*x^(1/3)) + (3*a*b^2*d^6*log(c*(d + e/x^(1/3))^n)^2)/(2*e^6) - (147*b^3*d^6*n*log(c*(d + e/x^(1/3))^n)^2)/(40*e^6) - (91*b^3*d*n^3)/(1500*e*x^(5/3)) + (3*a^2*b*d^6*n*log(d + e/x^(1/3)))/(2*e^6) - (3*b^3*d*n*log(c*(d + e/x^(1/3))^n)^2)/(10*e*x^(5/3)) + (11*b^3*d*n^2*log(c*(d + e/x^(1/3))^n))/(50*e*x^(5/3)) - (a^2*b*d^3*n)/(2*e^3*x) + (11*a*b^2*d*n^2)/(50*e*x^(5/3)) + (3*a^2*b*d^2*n)/(8*e^2*x^(4/3)) + (3*a^2*b*d^4*n)/(4*e^4*x^(2/3)) - (3*a^2*b*d^5*n)/(2*e^5*x^(1/3)) - (147*a*b^2*d^6*n^2*log(d + e/x^(1/3)))/(20*e^6) - (b^3*d^3*n*log(c*(d + e/x^(1/3))^n)^2)/(2*e^3*x) + (19*b^3*d^3*n^2*log(c*(d + e/x^(1/3))^n))/(20*e^3*x) + (3*b^3*d^2*n*log(c*(d + e/x^(1/3))^n)^2)/(8*e^2*x^(4/3)) - (37*b^3*d^2*n^2*log(c*(d + e/x^(1/3))^n))/(80*e^2*x^(4/3)) + (3*b^3*d^4*n*log(c*(d + e/x^(1/3))^n)^2)/(4*e^4*x^(2/3)) - (87*b^3*d^4*n^2*log(c*(d + e/x^(1/3))^n))/(40*e^4*x^(2/3)) - (3*b^3*d^5*n*log(c*(d + e/x^(1/3))^n)^2)/(2*e^5*x^(1/3)) + (147*b^3*d^5*n^2*log(c*(d + e/x^(1/3))^n))/(20*e^5*x^(1/3)) + (19*a*b^2*d^3*n^2)/(20*e^3*x) - (37*a*b^2*d^2*n^2)/(80*e^2*x^(4/3)) - (87*a*b^2*d^4*n^2)/(40*e^4*x^(2/3)) + (147*a*b^2*d^5*n^2)/(20*e^5*x^(1/3)) - (3*a^2*b*d*n)/(10*e*x^(5/3)) - (3*a*b^2*d*n*log(c*(d + e/x^(1/3))^n))/(5*e*x^(5/3)) - (a*b^2*d^3*n*log(c*(d + e/x^(1/3))^n))/(e^3*x) + (3*a*b^2*d^2*n*log(c*(d + e/x^(1/3))^n))/(4*e^2*x^(4/3)) + (3*a*b^2*d^4*n*log(c*(d + e/x^(1/3))^n))/(2*e^4*x^(2/3)) - (3*a*b^2*d^5*n*log(c*(d + e/x^(1/3))^n))/(e^5*x^(1/3))","B"
508,1,112,143,0.701606,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(2/3))^n)),x)","\frac{x^{10/3}\,\left(\frac{b\,e\,n}{5\,d}-\frac{b\,e^2\,n}{4\,d^2\,x^{2/3}}-\frac{b\,e^4\,n}{2\,d^4\,x^2}+\frac{b\,e^3\,n}{3\,d^3\,x^{4/3}}+\frac{b\,e^5\,n}{d^5\,x^{8/3}}\right)}{4}+\frac{a\,x^4}{4}+\frac{b\,x^4\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{4}-\frac{b\,e^6\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,x^{2/3}}+1\right)}{2\,d^6}","Not used",1,"(x^(10/3)*((b*e*n)/(5*d) - (b*e^2*n)/(4*d^2*x^(2/3)) - (b*e^4*n)/(2*d^4*x^2) + (b*e^3*n)/(3*d^3*x^(4/3)) + (b*e^5*n)/(d^5*x^(8/3))))/4 + (a*x^4)/4 + (b*x^4*log(c*(d + e/x^(2/3))^n))/4 - (b*e^6*n*atanh((2*e)/(d*x^(2/3)) + 1))/(2*d^6)","B"
509,0,-1,121,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(2/3))^n)),x)","\int x^2\,\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right) \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e/x^(2/3))^n)), x)","F"
510,1,73,94,0.592040,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(2/3))^n)),x)","\frac{x^{4/3}\,\left(\frac{b\,e\,n}{2\,d}-\frac{b\,e^2\,n}{d^2\,x^{2/3}}\right)}{2}+\frac{a\,x^2}{2}+\frac{b\,x^2\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{2}+\frac{b\,e^3\,n\,\mathrm{atanh}\left(\frac{2\,e}{d\,x^{2/3}}+1\right)}{d^3}","Not used",1,"(x^(4/3)*((b*e*n)/(2*d) - (b*e^2*n)/(d^2*x^(2/3))))/2 + (a*x^2)/2 + (b*x^2*log(c*(d + e/x^(2/3))^n))/2 + (b*e^3*n*atanh((2*e)/(d*x^(2/3)) + 1))/d^3","B"
511,1,51,65,0.429093,"\text{Not used}","int(a + b*log(c*(d + e/x^(2/3))^n),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)+\frac{2\,b\,e\,n\,x^{1/3}}{d}-\frac{2\,b\,e^{3/2}\,n\,\mathrm{atan}\left(\frac{\sqrt{d}\,x^{1/3}}{\sqrt{e}}\right)}{d^{3/2}}","Not used",1,"a*x + b*x*log(c*(d + e/x^(2/3))^n) + (2*b*e*n*x^(1/3))/d - (2*b*e^(3/2)*n*atan((d^(1/2)*x^(1/3))/e^(1/2)))/d^(3/2)","B"
512,0,-1,55,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))/x, x)","F"
513,0,-1,77,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))/x^2,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))/x^2, x)","F"
514,1,74,89,0.439185,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))/x^3,x)","\frac{b\,n}{6\,x^2}-\frac{a}{2\,x^2}-\frac{b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{2\,x^2}-\frac{b\,d\,n}{4\,e\,x^{4/3}}-\frac{b\,d^3\,n\,\ln\left(d+\frac{e}{x^{2/3}}\right)}{2\,e^3}+\frac{b\,d^2\,n}{2\,e^2\,x^{2/3}}","Not used",1,"(b*n)/(6*x^2) - a/(2*x^2) - (b*log(c*(d + e/x^(2/3))^n))/(2*x^2) - (b*d*n)/(4*e*x^(4/3)) - (b*d^3*n*log(d + e/x^(2/3)))/(2*e^3) + (b*d^2*n)/(2*e^2*x^(2/3))","B"
515,0,-1,132,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))/x^4,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))/x^4, x)","F"
516,0,-1,412,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(2/3))^n))^2,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e/x^(2/3))^n))^2, x)","F"
517,0,-1,239,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(2/3))^n))^2,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(2/3))^n))^2, x)","F"
518,0,-1,95,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^2/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))^2/x, x)","F"
519,1,302,276,0.572580,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^2/x^3,x)","\frac{\frac{d\,\left(\frac{3\,a^2}{2}-a\,b\,n+\frac{b^2\,n^2}{3}\right)}{2\,e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{4\,e}}{x^{4/3}}-{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}^2\,\left(\frac{b^2}{2\,x^2}+\frac{b^2\,d^3}{2\,e^3}\right)-\frac{\frac{a^2}{2}-\frac{a\,b\,n}{3}+\frac{b^2\,n^2}{9}}{x^2}-\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\,\left(\frac{b\,\left(3\,a-b\,n\right)}{3\,x^2}-\frac{\frac{b\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{3\,a\,b\,d}{2\,e}}{x^{4/3}}+\frac{d\,\left(\frac{b\,d\,\left(3\,a-b\,n\right)}{e}-\frac{3\,a\,b\,d}{e}\right)}{e\,x^{2/3}}\right)-\frac{\frac{d\,\left(\frac{d\,\left(\frac{3\,a^2}{2}-a\,b\,n+\frac{b^2\,n^2}{3}\right)}{e}-\frac{d\,\left(3\,a^2-b^2\,n^2\right)}{2\,e}\right)}{e}+\frac{b^2\,d^2\,n^2}{e^2}}{x^{2/3}}+\frac{\ln\left(d+\frac{e}{x^{2/3}}\right)\,\left(11\,b^2\,d^3\,n^2-6\,a\,b\,d^3\,n\right)}{6\,e^3}","Not used",1,"((d*((3*a^2)/2 + (b^2*n^2)/3 - a*b*n))/(2*e) - (d*(3*a^2 - b^2*n^2))/(4*e))/x^(4/3) - log(c*(d + e/x^(2/3))^n)^2*(b^2/(2*x^2) + (b^2*d^3)/(2*e^3)) - (a^2/2 + (b^2*n^2)/9 - (a*b*n)/3)/x^2 - log(c*(d + e/x^(2/3))^n)*((b*(3*a - b*n))/(3*x^2) - ((b*d*(3*a - b*n))/(2*e) - (3*a*b*d)/(2*e))/x^(4/3) + (d*((b*d*(3*a - b*n))/e - (3*a*b*d)/e))/(e*x^(2/3))) - ((d*((d*((3*a^2)/2 + (b^2*n^2)/3 - a*b*n))/e - (d*(3*a^2 - b^2*n^2))/(2*e)))/e + (b^2*d^2*n^2)/e^2)/x^(2/3) + (log(d + e/x^(2/3))*(11*b^2*d^3*n^2 - 6*a*b*d^3*n))/(6*e^3)","B"
520,1,440,482,1.808863,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^2/x^5,x)","\frac{b^2\,d^6\,{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}^2}{4\,e^6}-\frac{b^2\,{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}^2}{4\,x^4}-\frac{b^2\,n^2}{72\,x^4}-\frac{a\,b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{2\,x^4}-\frac{a^2}{4\,x^4}+\frac{a\,b\,n}{12\,x^4}+\frac{b^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{12\,x^4}-\frac{49\,b^2\,d^6\,n^2\,\ln\left(d+\frac{e}{x^{2/3}}\right)}{40\,e^6}+\frac{19\,b^2\,d^3\,n^2}{120\,e^3\,x^2}-\frac{37\,b^2\,d^2\,n^2}{480\,e^2\,x^{8/3}}-\frac{29\,b^2\,d^4\,n^2}{80\,e^4\,x^{4/3}}+\frac{49\,b^2\,d^5\,n^2}{40\,e^5\,x^{2/3}}+\frac{11\,b^2\,d\,n^2}{300\,e\,x^{10/3}}-\frac{b^2\,d^3\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{6\,e^3\,x^2}+\frac{b^2\,d^2\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{8\,e^2\,x^{8/3}}+\frac{b^2\,d^4\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{4\,e^4\,x^{4/3}}-\frac{b^2\,d^5\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{2\,e^5\,x^{2/3}}-\frac{a\,b\,d\,n}{10\,e\,x^{10/3}}+\frac{a\,b\,d^6\,n\,\ln\left(d+\frac{e}{x^{2/3}}\right)}{2\,e^6}-\frac{b^2\,d\,n\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}{10\,e\,x^{10/3}}-\frac{a\,b\,d^3\,n}{6\,e^3\,x^2}+\frac{a\,b\,d^2\,n}{8\,e^2\,x^{8/3}}+\frac{a\,b\,d^4\,n}{4\,e^4\,x^{4/3}}-\frac{a\,b\,d^5\,n}{2\,e^5\,x^{2/3}}","Not used",1,"(b^2*d^6*log(c*(d + e/x^(2/3))^n)^2)/(4*e^6) - (b^2*log(c*(d + e/x^(2/3))^n)^2)/(4*x^4) - (b^2*n^2)/(72*x^4) - (a*b*log(c*(d + e/x^(2/3))^n))/(2*x^4) - a^2/(4*x^4) + (a*b*n)/(12*x^4) + (b^2*n*log(c*(d + e/x^(2/3))^n))/(12*x^4) - (49*b^2*d^6*n^2*log(d + e/x^(2/3)))/(40*e^6) + (19*b^2*d^3*n^2)/(120*e^3*x^2) - (37*b^2*d^2*n^2)/(480*e^2*x^(8/3)) - (29*b^2*d^4*n^2)/(80*e^4*x^(4/3)) + (49*b^2*d^5*n^2)/(40*e^5*x^(2/3)) + (11*b^2*d*n^2)/(300*e*x^(10/3)) - (b^2*d^3*n*log(c*(d + e/x^(2/3))^n))/(6*e^3*x^2) + (b^2*d^2*n*log(c*(d + e/x^(2/3))^n))/(8*e^2*x^(8/3)) + (b^2*d^4*n*log(c*(d + e/x^(2/3))^n))/(4*e^4*x^(4/3)) - (b^2*d^5*n*log(c*(d + e/x^(2/3))^n))/(2*e^5*x^(2/3)) - (a*b*d*n)/(10*e*x^(10/3)) + (a*b*d^6*n*log(d + e/x^(2/3)))/(2*e^6) - (b^2*d*n*log(c*(d + e/x^(2/3))^n))/(10*e*x^(10/3)) - (a*b*d^3*n)/(6*e^3*x^2) + (a*b*d^2*n)/(8*e^2*x^(8/3)) + (a*b*d^4*n)/(4*e^4*x^(4/3)) - (a*b*d^5*n)/(2*e^5*x^(2/3))","B"
521,0,-1,490,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(2/3))^n))^2,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e/x^(2/3))^n))^2, x)","F"
522,0,-1,309,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^2,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2 \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))^2, x)","F"
523,0,-1,361,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^2/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))^2/x^2, x)","F"
524,0,-1,773,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(2/3))^n))^3,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e/x^(2/3))^n))^3, x)","F"
525,0,-1,451,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(2/3))^n))^3,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*log(c*(d + e/x^(2/3))^n))^3, x)","F"
526,0,-1,139,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^3/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(2/3))^n))^3/x, x)","F"
527,1,578,449,0.745370,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^3/x^3,x)","\frac{\frac{d\,\left(\frac{3\,a^3}{2}-\frac{3\,a^2\,b\,n}{2}+a\,b^2\,n^2-\frac{b^3\,n^3}{3}\right)}{2\,e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{8\,e}}{x^{4/3}}-{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}^3\,\left(\frac{b^3}{2\,x^2}+\frac{b^3\,d^3}{2\,e^3}\right)-{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)}^2\,\left(\frac{b^2\,\left(3\,a-b\,n\right)}{2\,x^2}-\frac{\frac{3\,b^2\,d\,\left(3\,a-b\,n\right)}{2\,e}-\frac{9\,a\,b^2\,d}{2\,e}}{2\,x^{4/3}}+\frac{d\,\left(6\,a\,b^2\,d^2-11\,b^3\,d^2\,n\right)}{4\,e^3}+\frac{d\,\left(\frac{6\,b^2\,d\,\left(3\,a-b\,n\right)}{e}-\frac{18\,a\,b^2\,d}{e}\right)}{4\,e\,x^{2/3}}\right)-\frac{\frac{d\,\left(\frac{d\,\left(\frac{3\,a^3}{2}-\frac{3\,a^2\,b\,n}{2}+a\,b^2\,n^2-\frac{b^3\,n^3}{3}\right)}{e}-\frac{d\,\left(6\,a^3-6\,a\,b^2\,n^2+5\,b^3\,n^3\right)}{4\,e}\right)}{e}+\frac{b^2\,d^2\,n^2\,\left(6\,a-11\,b\,n\right)}{2\,e^2}}{x^{2/3}}-\frac{\frac{a^3}{2}-\frac{a^2\,b\,n}{2}+\frac{a\,b^2\,n^2}{3}-\frac{b^3\,n^3}{9}}{x^2}-\frac{\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\,\left(\frac{\frac{d\,\left(2\,b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-6\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)\right)}{e}+12\,b^3\,d^2\,n^2}{2\,e\,x^{2/3}}-\frac{2\,b\,d\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)-6\,b\,d\,e\,\left(3\,a^2-b^2\,n^2\right)}{4\,e\,x^{4/3}}+\frac{b\,e\,\left(9\,a^2-6\,a\,b\,n+2\,b^2\,n^2\right)}{3\,x^2}\right)}{2\,e}-\frac{\ln\left(d+\frac{e}{x^{2/3}}\right)\,\left(18\,a^2\,b\,d^3\,n-66\,a\,b^2\,d^3\,n^2+85\,b^3\,d^3\,n^3\right)}{12\,e^3}","Not used",1,"((d*((3*a^3)/2 - (b^3*n^3)/3 + a*b^2*n^2 - (3*a^2*b*n)/2))/(2*e) - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(8*e))/x^(4/3) - log(c*(d + e/x^(2/3))^n)^3*(b^3/(2*x^2) + (b^3*d^3)/(2*e^3)) - log(c*(d + e/x^(2/3))^n)^2*((b^2*(3*a - b*n))/(2*x^2) - ((3*b^2*d*(3*a - b*n))/(2*e) - (9*a*b^2*d)/(2*e))/(2*x^(4/3)) + (d*(6*a*b^2*d^2 - 11*b^3*d^2*n))/(4*e^3) + (d*((6*b^2*d*(3*a - b*n))/e - (18*a*b^2*d)/e))/(4*e*x^(2/3))) - ((d*((d*((3*a^3)/2 - (b^3*n^3)/3 + a*b^2*n^2 - (3*a^2*b*n)/2))/e - (d*(6*a^3 + 5*b^3*n^3 - 6*a*b^2*n^2))/(4*e)))/e + (b^2*d^2*n^2*(6*a - 11*b*n))/(2*e^2))/x^(2/3) - (a^3/2 - (b^3*n^3)/9 + (a*b^2*n^2)/3 - (a^2*b*n)/2)/x^2 - (log(c*(d + e/x^(2/3))^n)*(((d*(2*b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 6*b*d*e*(3*a^2 - b^2*n^2)))/e + 12*b^3*d^2*n^2)/(2*e*x^(2/3)) - (2*b*d*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n) - 6*b*d*e*(3*a^2 - b^2*n^2))/(4*e*x^(4/3)) + (b*e*(9*a^2 + 2*b^2*n^2 - 6*a*b*n))/(3*x^2)))/(2*e) - (log(d + e/x^(2/3))*(85*b^3*d^3*n^3 - 66*a*b^2*d^3*n^2 + 18*a^2*b*d^3*n))/(12*e^3)","B"
528,0,-1,1278,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(2/3))^n))^3,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3 \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e/x^(2/3))^n))^3, x)","F"
529,0,-1,738,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^3,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3 \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^n))^3, x)","F"
530,0,-1,483,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^3/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^n))^3/x^2, x)","F"
531,0,-1,784,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^n))^3/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^n\right)\right)}^3}{x^4} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^n))^3/x^4, x)","F"
532,0,-1,730,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/2))))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(1/2))))^p, x)","F"
533,0,-1,551,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/2))))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(1/2))))^p, x)","F"
534,0,-1,360,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/2))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(1/2))))^p, x)","F"
535,0,-1,174,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))))^p, x)","F"
536,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/2))))^p/x, x)","F"
537,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,\sqrt{x}\right)\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/2))))^p/x^2, x)","F"
538,0,-1,907,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/2))^2))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(1/2))^2))^p, x)","F"
539,0,-1,677,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/2))^2))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(1/2))^2))^p, x)","F"
540,0,-1,445,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/2))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(1/2))^2))^p, x)","F"
541,0,-1,213,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/2))^2))^p, x)","F"
542,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/2))^2))^p/x, x)","F"
543,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/2))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,\sqrt{x}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/2))^2))^p/x^2, x)","F"
544,0,-1,23,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/2))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(1/2))))^p, x)","F"
545,0,-1,21,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/2))))^p, x)","F"
546,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/2))))^p/x, x)","F"
547,0,-1,175,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))))^p/x^2, x)","F"
548,0,-1,552,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))))^p/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))))^p/x^4, x)","F"
549,0,-1,926,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))))^p/x^6,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{\sqrt{x}}\right)\right)\right)}^p}{x^6} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))))^p/x^6, x)","F"
550,0,-1,25,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/2))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(1/2))^2))^p, x)","F"
551,0,-1,23,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/2))^2))^p, x)","F"
552,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/2))^2))^p/x, x)","F"
553,0,-1,216,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^2, x)","F"
554,0,-1,676,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^4, x)","F"
555,0,-1,1141,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^6,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{\sqrt{x}}\right)}^2\right)\right)}^p}{x^6} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/2))^2))^p/x^6, x)","F"
556,0,-1,1121,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/3))))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(1/3))))^p, x)","F"
557,0,-1,831,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/3))))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(1/3))))^p, x)","F"
558,0,-1,553,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/3))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(1/3))))^p, x)","F"
559,0,-1,266,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))))^p, x)","F"
560,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/3))))^p/x, x)","F"
561,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,x^{1/3}\right)\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/3))))^p/x^2, x)","F"
562,0,-1,1363,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(1/3))^2))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(1/3))^2))^p, x)","F"
563,0,-1,1035,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(1/3))^2))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x^2*(a + b*log(c*(d + e*x^(1/3))^2))^p, x)","F"
564,0,-1,673,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(1/3))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(1/3))^2))^p, x)","F"
565,0,-1,338,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int((a + b*log(c*(d + e*x^(1/3))^2))^p, x)","F"
566,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/3))^2))^p/x, x)","F"
567,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(1/3))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{1/3}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(1/3))^2))^p/x^2, x)","F"
568,0,-1,557,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(2/3))))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(2/3))))^p, x)","F"
569,0,-1,273,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(2/3))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(2/3))))^p, x)","F"
570,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))))^p/x, x)","F"
571,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))))^p/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p}{x^3} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))))^p/x^3, x)","F"
572,0,-1,25,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(2/3))))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e*x^(2/3))))^p, x)","F"
573,0,-1,21,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))))^p, x)","F"
574,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+e\,x^{2/3}\right)\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))))^p/x^2, x)","F"
575,0,-1,678,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e*x^(2/3))^2))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x^3*(a + b*log(c*(d + e*x^(2/3))^2))^p, x)","F"
576,0,-1,350,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e*x^(2/3))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p \,d x","Not used",1,"int(x*(a + b*log(c*(d + e*x^(2/3))^2))^p, x)","F"
577,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^2))^p/x, x)","F"
578,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^2))^p/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p}{x^3} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^2))^p/x^3, x)","F"
579,0,-1,27,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e*x^(2/3))^2))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e*x^(2/3))^2))^p, x)","F"
580,0,-1,23,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^2))^p, x)","F"
581,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^(2/3))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+e\,x^{2/3}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^(2/3))^2))^p/x^2, x)","F"
582,0,-1,23,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/3))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(1/3))))^p, x)","F"
583,0,-1,21,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/3))))^p, x)","F"
584,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/3))))^p/x, x)","F"
585,0,-1,267,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))))^p/x^2, x)","F"
586,0,-1,554,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))))^p/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))))^p/x^3, x)","F"
587,0,-1,832,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))))^p/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{1/3}}\right)\right)\right)}^p}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))))^p/x^4, x)","F"
588,0,-1,25,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(1/3))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(1/3))^2))^p, x)","F"
589,0,-1,23,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/3))^2))^p, x)","F"
590,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(1/3))^2))^p/x, x)","F"
591,0,-1,342,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^2, x)","F"
592,0,-1,673,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^3,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p}{x^3} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^3, x)","F"
593,0,-1,1036,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^4,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{1/3}}\right)}^2\right)\right)}^p}{x^4} \,d x","Not used",1,"int((a + b*log(c*(d + e/x^(1/3))^2))^p/x^4, x)","F"
594,0,-1,25,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(2/3))))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p \,d x","Not used",0,"int(x^3*(a + b*log(c*(d + e/x^(2/3))))^p, x)","F"
595,0,-1,25,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(2/3))))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e/x^(2/3))))^p, x)","F"
596,0,-1,23,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(2/3))))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(2/3))))^p, x)","F"
597,0,-1,21,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))))^p,x)","\int {\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))))^p, x)","F"
598,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))))^p/x, x)","F"
599,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,\left(d+\frac{e}{x^{2/3}}\right)\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))))^p/x^2, x)","F"
600,0,-1,27,0.000000,"\text{Not used}","int(x^3*(a + b*log(c*(d + e/x^(2/3))^2))^p,x)","\int x^3\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x^3*(a + b*log(c*(d + e/x^(2/3))^2))^p, x)","F"
601,0,-1,27,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*(d + e/x^(2/3))^2))^p,x)","\int x^2\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x^2*(a + b*log(c*(d + e/x^(2/3))^2))^p, x)","F"
602,0,-1,25,0.000000,"\text{Not used}","int(x*(a + b*log(c*(d + e/x^(2/3))^2))^p,x)","\int x\,{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int(x*(a + b*log(c*(d + e/x^(2/3))^2))^p, x)","F"
603,0,-1,23,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^2))^p,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^2))^p, x)","F"
604,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^2))^p/x,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p}{x} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^2))^p/x, x)","F"
605,0,-1,27,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/x^(2/3))^2))^p/x^2,x)","\int \frac{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{x^{2/3}}\right)}^2\right)\right)}^p}{x^2} \,d x","Not used",0,"int((a + b*log(c*(d + e/x^(2/3))^2))^p/x^2, x)","F"
606,0,-1,631,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(1/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{\sqrt{h\,x}} \,d x","Not used",1,"int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(1/2), x)","F"
607,0,-1,603,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(3/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(3/2), x)","F"
608,0,-1,588,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(5/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(5/2), x)","F"
609,0,-1,620,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(7/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{7/2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(7/2), x)","F"
610,0,-1,641,0.000000,"\text{Not used}","int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(9/2),x)","\int \frac{\left(f+g\,x\right)\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{9/2}} \,d x","Not used",1,"int(((f + g*x)*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(9/2), x)","F"
611,0,-1,1002,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(1/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{\sqrt{h\,x}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(1/2), x)","F"
612,0,-1,949,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(3/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{3/2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(3/2), x)","F"
613,0,-1,932,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(5/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{5/2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(5/2), x)","F"
614,0,-1,935,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(7/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{7/2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(7/2), x)","F"
615,0,-1,968,0.000000,"\text{Not used}","int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(9/2),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{{\left(h\,x\right)}^{9/2}} \,d x","Not used",1,"int(((f + g*x)^2*(a + b*log(c*(d + e*x^2)^p)))/(h*x)^(9/2), x)","F"
616,0,-1,1680,0.000000,"\text{Not used}","int(((h*x)^(1/2)*(a + b*log(c*(d + e*x^2)^p)))/(f + g*x),x)","\int \frac{\sqrt{h\,x}\,\left(a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)\right)}{f+g\,x} \,d x","Not used",1,"int(((h*x)^(1/2)*(a + b*log(c*(d + e*x^2)^p)))/(f + g*x), x)","F"
617,0,-1,1361,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^2)^p))/((f + g*x)*(h*x)^(1/2)),x)","\int \frac{a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{\left(f+g\,x\right)\,\sqrt{h\,x}} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^2)^p))/((f + g*x)*(h*x)^(1/2)), x)","F"
618,0,-1,1659,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^2)^p))/((f + g*x)*(h*x)^(3/2)),x)","\int \frac{a+b\,\ln\left(c\,{\left(e\,x^2+d\right)}^p\right)}{\left(f+g\,x\right)\,{\left(h\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^2)^p))/((f + g*x)*(h*x)^(3/2)), x)","F"
619,0,-1,33,0.000000,"\text{Not used}","int((log(f*x^p)*log(e*x^m + 1))/x,x)","\int \frac{\ln\left(f\,x^p\right)\,\ln\left(e\,x^m+1\right)}{x} \,d x","Not used",1,"int((log(f*x^p)*log(e*x^m + 1))/x, x)","F"
620,0,-1,75,0.000000,"\text{Not used}","int((x^(m - 1)*log(f*x^p)^2)/(d + e*x^m),x)","\int \frac{x^{m-1}\,{\ln\left(f\,x^p\right)}^2}{d+e\,x^m} \,d x","Not used",1,"int((x^(m - 1)*log(f*x^p)^2)/(d + e*x^m), x)","F"
621,0,-1,161,0.000000,"\text{Not used}","int((log(f*x^p)^3*(a + b*log(c*(d + e*x^m)^n)))/x,x)","\int \frac{{\ln\left(f\,x^p\right)}^3\,\left(a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)\right)}{x} \,d x","Not used",1,"int((log(f*x^p)^3*(a + b*log(c*(d + e*x^m)^n)))/x, x)","F"
622,0,-1,132,0.000000,"\text{Not used}","int((log(f*x^p)^2*(a + b*log(c*(d + e*x^m)^n)))/x,x)","\int \frac{{\ln\left(f\,x^p\right)}^2\,\left(a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)\right)}{x} \,d x","Not used",1,"int((log(f*x^p)^2*(a + b*log(c*(d + e*x^m)^n)))/x, x)","F"
623,0,-1,102,0.000000,"\text{Not used}","int((log(f*x^p)*(a + b*log(c*(d + e*x^m)^n)))/x,x)","\int \frac{\ln\left(f\,x^p\right)\,\left(a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)\right)}{x} \,d x","Not used",1,"int((log(f*x^p)*(a + b*log(c*(d + e*x^m)^n)))/x, x)","F"
624,0,-1,49,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^m)^n))/x,x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)}{x} \,d x","Not used",1,"int((a + b*log(c*(d + e*x^m)^n))/x, x)","F"
625,0,-1,42,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)),x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)}{x\,\ln\left(f\,x^p\right)} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)), x)","F"
626,0,-1,64,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)^2),x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)}{x\,{\ln\left(f\,x^p\right)}^2} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)^2), x)","F"
627,0,-1,69,0.000000,"\text{Not used}","int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)^3),x)","\int \frac{a+b\,\ln\left(c\,{\left(d+e\,x^m\right)}^n\right)}{x\,{\ln\left(f\,x^p\right)}^3} \,d x","Not used",0,"int((a + b*log(c*(d + e*x^m)^n))/(x*log(f*x^p)^3), x)","F"
628,0,-1,76,0.000000,"\text{Not used}","int(log(c*(d + e*(f + g*x)^p)^q),x)","\int \ln\left(c\,{\left(d+e\,{\left(f+g\,x\right)}^p\right)}^q\right) \,d x","Not used",1,"int(log(c*(d + e*(f + g*x)^p)^q), x)","F"
629,1,192,169,0.280228,"\text{Not used}","int(log(c*(d + e*(f + g*x)^3)^q),x)","x\,\ln\left(c\,{\left(d+e\,{\left(f+g\,x\right)}^3\right)}^q\right)-\left(\sum _{k=1}^3\ln\left(d\,e^2\,g^5\,\left(\mathrm{root}\left(b^3\,e\,g^3+3\,b^2\,e\,f\,g^2\,q+3\,b\,e\,f^2\,g\,q^2+e\,f^3\,q^3+d\,q^3,b,k\right)\,g+f\,q\right)\,\left(\mathrm{root}\left(b^3\,e\,g^3+3\,b^2\,e\,f\,g^2\,q+3\,b\,e\,f^2\,g\,q^2+e\,f^3\,q^3+d\,q^3,b,k\right)-q\,x\right)\,9\right)\,\mathrm{root}\left(b^3\,e\,g^3+3\,b^2\,e\,f\,g^2\,q+3\,b\,e\,f^2\,g\,q^2+e\,f^3\,q^3+d\,q^3,b,k\right)\right)-3\,q\,x","Not used",1,"x*log(c*(d + e*(f + g*x)^3)^q) - symsum(log(9*d*e^2*g^5*(root(b^3*e*g^3 + 3*b^2*e*f*g^2*q + 3*b*e*f^2*g*q^2 + e*f^3*q^3 + d*q^3, b, k)*g + f*q)*(root(b^3*e*g^3 + 3*b^2*e*f*g^2*q + 3*b*e*f^2*g*q^2 + e*f^3*q^3 + d*q^3, b, k) - q*x))*root(b^3*e*g^3 + 3*b^2*e*f*g^2*q + 3*b*e*f^2*g*q^2 + e*f^3*q^3 + d*q^3, b, k), k, 1, 3) - 3*q*x","B"
630,1,82,63,0.134191,"\text{Not used}","int(log(c*(d + e*(f + g*x)^2)^q),x)","x\,\ln\left(c\,{\left(d+e\,{\left(f+g\,x\right)}^2\right)}^q\right)-2\,q\,x+\frac{f\,q\,\ln\left(e\,f^2+2\,e\,f\,g\,x+e\,g^2\,x^2+d\right)}{g}+\frac{2\,\sqrt{d}\,q\,\mathrm{atan}\left(\frac{\sqrt{e}\,f}{\sqrt{d}}+\frac{\sqrt{e}\,g\,x}{\sqrt{d}}\right)}{\sqrt{e}\,g}","Not used",1,"x*log(c*(d + e*(f + g*x)^2)^q) - 2*q*x + (f*q*log(d + e*f^2 + e*g^2*x^2 + 2*e*f*g*x))/g + (2*d^(1/2)*q*atan((e^(1/2)*f)/d^(1/2) + (e^(1/2)*g*x)/d^(1/2)))/(e^(1/2)*g)","B"
631,1,46,35,0.307216,"\text{Not used}","int(log(c*(d + e*(f + g*x))^q),x)","x\,\ln\left(c\,{\left(d+e\,\left(f+g\,x\right)\right)}^q\right)-q\,x+\frac{\ln\left(d+e\,f+e\,g\,x\right)\,\left(d\,q+e\,f\,q\right)}{e\,g}","Not used",1,"x*log(c*(d + e*(f + g*x))^q) - q*x + (log(d + e*f + e*g*x)*(d*q + e*f*q))/(e*g)","B"
632,1,67,45,0.176691,"\text{Not used}","int(log(c*(d + e/(f + g*x))^q),x)","x\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^q\right)-\frac{f\,q\,\ln\left(f+g\,x\right)}{g}+\frac{f\,q\,\ln\left(e+d\,f+d\,g\,x\right)}{g}+\frac{e\,q\,\ln\left(e+d\,f+d\,g\,x\right)}{d\,g}","Not used",1,"x*log(c*(d + e/(f + g*x))^q) - (f*q*log(f + g*x))/g + (f*q*log(e + d*f + d*g*x))/g + (e*q*log(e + d*f + d*g*x))/(d*g)","B"
633,1,163,59,0.521920,"\text{Not used}","int(log(c*(d + e/(f + g*x)^2)^q),x)","x\,\ln\left(c\,{\left(d+\frac{e}{{\left(f+g\,x\right)}^2}\right)}^q\right)-\frac{2\,f\,q\,\ln\left(f+g\,x\right)}{g}+\frac{\ln\left(e\,\sqrt{-d\,e}-3\,d\,f^2\,\sqrt{-d\,e}+4\,d\,e\,f+d\,e\,g\,x-3\,d\,f\,g\,x\,\sqrt{-d\,e}\right)\,\left(q\,\sqrt{-d\,e}+d\,f\,q\right)}{d\,g}-\frac{\ln\left(3\,d\,f^2\,\sqrt{-d\,e}-e\,\sqrt{-d\,e}+4\,d\,e\,f+d\,e\,g\,x+3\,d\,f\,g\,x\,\sqrt{-d\,e}\right)\,\left(q\,\sqrt{-d\,e}-d\,f\,q\right)}{d\,g}","Not used",1,"x*log(c*(d + e/(f + g*x)^2)^q) - (2*f*q*log(f + g*x))/g + (log(e*(-d*e)^(1/2) - 3*d*f^2*(-d*e)^(1/2) + 4*d*e*f + d*e*g*x - 3*d*f*g*x*(-d*e)^(1/2))*(q*(-d*e)^(1/2) + d*f*q))/(d*g) - (log(3*d*f^2*(-d*e)^(1/2) - e*(-d*e)^(1/2) + 4*d*e*f + d*e*g*x + 3*d*f*g*x*(-d*e)^(1/2))*(q*(-d*e)^(1/2) - d*f*q))/(d*g)","B"
634,1,499,165,0.632640,"\text{Not used}","int(log(c*(d + e/(f + g*x)^3)^q),x)","x\,\ln\left(c\,{\left(d+\frac{e}{{\left(f+g\,x\right)}^3}\right)}^q\right)-\left(\sum _{k=1}^3\ln\left(-d^2\,e^2\,g^{11}\,\left(3\,e\,q^3\,x+\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)\,e\,q^2+{\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)}^3\,d\,f\,g^2\,4+\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)\,d\,f^3\,q^2\,4+{\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)}^3\,d\,g^3\,x\,4+{\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)}^2\,d\,f^2\,g\,q\,8+\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)\,d\,f^2\,g\,q^2\,x\,4+{\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)}^2\,d\,f\,g^2\,q\,x\,8\right)\,9\right)\,\mathrm{root}\left(d\,g^3\,z^3+3\,d\,f\,g^2\,q\,z^2+3\,d\,f^2\,g\,q^2\,z+d\,f^3\,q^3+e\,q^3,z,k\right)\right)-\frac{3\,f\,q\,\ln\left(f+g\,x\right)}{g}","Not used",1,"x*log(c*(d + e/(f + g*x)^3)^q) - symsum(log(-9*d^2*e^2*g^11*(3*e*q^3*x + root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)*e*q^2 + 4*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)^3*d*f*g^2 + 4*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)*d*f^3*q^2 + 4*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)^3*d*g^3*x + 8*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)^2*d*f^2*g*q + 4*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)*d*f^2*g*q^2*x + 8*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k)^2*d*f*g^2*q*x))*root(d*g^3*z^3 + 3*d*f*g^2*q*z^2 + 3*d*f^2*g*q^2*z + d*f^3*q^3 + e*q^3, z, k), k, 1, 3) - (3*f*q*log(f + g*x))/g","B"
635,0,-1,25,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/(f + g*x))^p))^n,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)\right)}^n \,d x","Not used",0,"int((a + b*log(c*(d + e/(f + g*x))^p))^n, x)","F"
636,0,-1,221,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/(f + g*x))^p))^4,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)\right)}^4 \,d x","Not used",1,"int((a + b*log(c*(d + e/(f + g*x))^p))^4, x)","F"
637,0,-1,168,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/(f + g*x))^p))^3,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)\right)}^3 \,d x","Not used",1,"int((a + b*log(c*(d + e/(f + g*x))^p))^3, x)","F"
638,0,-1,115,0.000000,"\text{Not used}","int((a + b*log(c*(d + e/(f + g*x))^p))^2,x)","\int {\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)\right)}^2 \,d x","Not used",1,"int((a + b*log(c*(d + e/(f + g*x))^p))^2, x)","F"
639,1,61,50,0.418855,"\text{Not used}","int(a + b*log(c*(d + e/(f + g*x))^p),x)","a\,x+b\,x\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)-\frac{b\,f\,p\,\ln\left(f+g\,x\right)}{g}+\frac{b\,p\,\ln\left(e+d\,f+d\,g\,x\right)\,\left(e+d\,f\right)}{d\,g}","Not used",1,"a*x + b*x*log(c*(d + e/(f + g*x))^p) - (b*f*p*log(f + g*x))/g + (b*p*log(e + d*f + d*g*x)*(e + d*f))/(d*g)","B"
640,0,-1,25,0.000000,"\text{Not used}","int(1/(a + b*log(c*(d + e/(f + g*x))^p)),x)","\int \frac{1}{a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)} \,d x","Not used",0,"int(1/(a + b*log(c*(d + e/(f + g*x))^p)), x)","F"
641,0,-1,25,0.000000,"\text{Not used}","int(1/(a + b*log(c*(d + e/(f + g*x))^p))^2,x)","\int \frac{1}{{\left(a+b\,\ln\left(c\,{\left(d+\frac{e}{f+g\,x}\right)}^p\right)\right)}^2} \,d x","Not used",0,"int(1/(a + b*log(c*(d + e/(f + g*x))^p))^2, x)","F"