1,0,-1,76,0.000000,"\text{Not used}","int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^p)/x,x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^p}{x} \,d x","Not used",0,"int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^p)/x, x)","F"
2,0,-1,231,0.000000,"\text{Not used}","int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^3)/x,x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3}{x} \,d x","Not used",1,"int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^3)/x, x)","F"
3,0,-1,156,0.000000,"\text{Not used}","int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^2)/x,x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2}{x} \,d x","Not used",1,"int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q)^2)/x, x)","F"
4,0,-1,81,0.000000,"\text{Not used}","int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q))/x,x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}{x} \,d x","Not used",1,"int((log(c*x^n)^(q - 1)*(a*x^m + b*log(c*x^n)^q))/x, x)","F"
5,1,15,15,0.284109,"\text{Not used}","int(log(c*x^n)^(q - 1)/x,x)","\frac{{\ln\left(c\,x^n\right)}^q}{n\,q}","Not used",1,"log(c*x^n)^q/(n*q)","B"
6,0,-1,68,0.000000,"\text{Not used}","int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)),x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}}{x\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)} \,d x","Not used",0,"int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)), x)","F"
7,0,-1,70,0.000000,"\text{Not used}","int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)^2),x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2} \,d x","Not used",0,"int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)^2), x)","F"
8,0,-1,72,0.000000,"\text{Not used}","int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)^3),x)","\int \frac{{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3} \,d x","Not used",0,"int(log(c*x^n)^(q - 1)/(x*(a*x^m + b*log(c*x^n)^q)^3), x)","F"
9,0,-1,272,0.000000,"\text{Not used}","int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2)^3)/x,x)","\int \frac{\ln\left(c\,x^n\right)\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)}^3}{x} \,d x","Not used",1,"int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2)^3)/x, x)","F"
10,0,-1,125,0.000000,"\text{Not used}","int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2)^2)/x,x)","\int \frac{\ln\left(c\,x^n\right)\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)}^2}{x} \,d x","Not used",1,"int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2)^2)/x, x)","F"
11,0,-1,41,0.000000,"\text{Not used}","int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2))/x,x)","\int \frac{\ln\left(c\,x^n\right)\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)}{x} \,d x","Not used",1,"int((log(c*x^n)*(a*x^m + b*log(c*x^n)^2))/x, x)","F"
12,1,13,15,0.254333,"\text{Not used}","int(log(c*x^n)/x,x)","\frac{{\ln\left(c\,x^n\right)}^2}{2\,n}","Not used",1,"log(c*x^n)^2/(2*n)","B"
13,0,-1,67,0.000000,"\text{Not used}","int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)),x)","\int \frac{\ln\left(c\,x^n\right)}{x\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)} \,d x","Not used",0,"int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)), x)","F"
14,0,-1,68,0.000000,"\text{Not used}","int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)^2),x)","\int \frac{\ln\left(c\,x^n\right)}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)}^2} \,d x","Not used",0,"int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)^2), x)","F"
15,0,-1,68,0.000000,"\text{Not used}","int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)^3),x)","\int \frac{\ln\left(c\,x^n\right)}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^2\right)}^3} \,d x","Not used",0,"int(log(c*x^n)/(x*(a*x^m + b*log(c*x^n)^2)^3), x)","F"
16,0,-1,26,0.000000,"\text{Not used}","int(((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))*(a*x^m + b*log(c*x^n)^q)^p)/x,x)","\int \frac{\left(a\,m\,x^m+b\,n\,q\,{\ln\left(c\,x^n\right)}^{q-1}\right)\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^p}{x} \,d x","Not used",1,"int(((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))*(a*x^m + b*log(c*x^n)^q)^p)/x, x)","F"
17,1,20,22,0.704885,"\text{Not used}","int(((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))*(a*x^m + b*log(c*x^n)^q)^2)/x,x)","\frac{{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3}{3}","Not used",1,"(a*x^m + b*log(c*x^n)^q)^3/3","B"
18,1,20,22,0.680365,"\text{Not used}","int(((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))*(a*x^m + b*log(c*x^n)^q))/x,x)","\frac{{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2}{2}","Not used",1,"(a*x^m + b*log(c*x^n)^q)^2/2","B"
19,1,16,16,0.304402,"\text{Not used}","int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/x,x)","a\,x^m+b\,{\ln\left(c\,x^n\right)}^q","Not used",1,"a*x^m + b*log(c*x^n)^q","B"
20,0,-1,17,0.000000,"\text{Not used}","int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)),x)","\int \frac{a\,m\,x^m+b\,n\,q\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)} \,d x","Not used",1,"int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)), x)","F"
21,0,-1,20,0.000000,"\text{Not used}","int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^2),x)","\int \frac{a\,m\,x^m+b\,n\,q\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2} \,d x","Not used",1,"int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^2), x)","F"
22,0,-1,22,0.000000,"\text{Not used}","int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^3),x)","\int \frac{a\,m\,x^m+b\,n\,q\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3} \,d x","Not used",1,"int((a*m*x^m + b*n*q*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^3), x)","F"
23,1,52,20,0.330473,"\text{Not used}","int((a*x^2 + b*x*log(c*x^n)^2)^2*(a/x^2 + (2*b*n*log(c*x^n))/x^3),x)","\frac{a^3\,x^3}{3}+a^2\,b\,x^2\,{\ln\left(c\,x^n\right)}^2+a\,b^2\,x\,{\ln\left(c\,x^n\right)}^4+\frac{b^3\,{\ln\left(c\,x^n\right)}^6}{3}","Not used",1,"(b^3*log(c*x^n)^6)/3 + (a^3*x^3)/3 + a^2*b*x^2*log(c*x^n)^2 + a*b^2*x*log(c*x^n)^4","B"
24,1,18,20,0.292762,"\text{Not used}","int((a*x^2 + b*x*log(c*x^n)^2)*(a/x + (2*b*n*log(c*x^n))/x^2),x)","\frac{{\left(b\,{\ln\left(c\,x^n\right)}^2+a\,x\right)}^2}{2}","Not used",1,"(a*x + b*log(c*x^n)^2)^2/2","B"
25,1,14,14,0.256689,"\text{Not used}","int(a + (2*b*n*log(c*x^n))/x,x)","b\,{\ln\left(c\,x^n\right)}^2+a\,x","Not used",1,"a*x + b*log(c*x^n)^2","B"
26,1,16,15,0.348053,"\text{Not used}","int((a*x + 2*b*n*log(c*x^n))/(a*x^2 + b*x*log(c*x^n)^2),x)","\ln\left({\ln\left(c\,x^n\right)}^2+\frac{a\,x}{b}\right)","Not used",1,"log(log(c*x^n)^2 + (a*x)/b)","B"
27,1,18,18,0.255314,"\text{Not used}","int((a*x^2 + 2*b*n*x*log(c*x^n))/(a*x^2 + b*x*log(c*x^n)^2)^2,x)","-\frac{1}{b\,{\ln\left(c\,x^n\right)}^2+a\,x}","Not used",1,"-1/(a*x + b*log(c*x^n)^2)","B"
28,1,39,20,0.274662,"\text{Not used}","int((a*x^3 + 2*b*n*x^2*log(c*x^n))/(a*x^2 + b*x*log(c*x^n)^2)^3,x)","-\frac{1}{2\,a^2\,x^2+4\,a\,b\,x\,{\ln\left(c\,x^n\right)}^2+2\,b^2\,{\ln\left(c\,x^n\right)}^4}","Not used",1,"-1/(2*b^2*log(c*x^n)^4 + 2*a^2*x^2 + 4*a*b*x*log(c*x^n)^2)","B"
29,0,-1,19,0.000000,"\text{Not used}","int((a*x^(m - 1)*(m - 1) + b*n*q*log(c*x^n)^(q - 1))/(a*x^m + b*x*log(c*x^n)^q),x)","\int \frac{a\,x^{m-1}\,\left(m-1\right)+b\,n\,q\,{\ln\left(c\,x^n\right)}^{q-1}}{a\,x^m+b\,x\,{\ln\left(c\,x^n\right)}^q} \,d x","Not used",1,"int((a*x^(m - 1)*(m - 1) + b*n*q*log(c*x^n)^(q - 1))/(a*x^m + b*x*log(c*x^n)^q), x)","F"
30,0,-1,81,0.000000,"\text{Not used}","int(((a*x^m + b*log(c*x^n)^q)^p*(d*x^m + e*log(c*x^n)^(q - 1)))/x,x)","\int \frac{{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^p\,\left(d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}\right)}{x} \,d x","Not used",0,"int(((a*x^m + b*log(c*x^n)^q)^p*(d*x^m + e*log(c*x^n)^(q - 1)))/x, x)","F"
31,0,-1,331,0.000000,"\text{Not used}","int(((a*x^m + b*log(c*x^n)^q)^3*(d*x^m + e*log(c*x^n)^(q - 1)))/x,x)","\int \frac{{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3\,\left(d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}\right)}{x} \,d x","Not used",1,"int(((a*x^m + b*log(c*x^n)^q)^3*(d*x^m + e*log(c*x^n)^(q - 1)))/x, x)","F"
32,0,-1,235,0.000000,"\text{Not used}","int(((a*x^m + b*log(c*x^n)^q)^2*(d*x^m + e*log(c*x^n)^(q - 1)))/x,x)","\int \frac{{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2\,\left(d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}\right)}{x} \,d x","Not used",1,"int(((a*x^m + b*log(c*x^n)^q)^2*(d*x^m + e*log(c*x^n)^(q - 1)))/x, x)","F"
33,0,-1,139,0.000000,"\text{Not used}","int(((a*x^m + b*log(c*x^n)^q)*(d*x^m + e*log(c*x^n)^(q - 1)))/x,x)","\int \frac{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)\,\left(d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}\right)}{x} \,d x","Not used",1,"int(((a*x^m + b*log(c*x^n)^q)*(d*x^m + e*log(c*x^n)^(q - 1)))/x, x)","F"
34,1,25,25,0.316267,"\text{Not used}","int((d*x^m + e*log(c*x^n)^(q - 1))/x,x)","\frac{d\,x^m}{m}+\frac{e\,{\ln\left(c\,x^n\right)}^q}{n\,q}","Not used",1,"(d*x^m)/m + (e*log(c*x^n)^q)/(n*q)","B"
35,0,-1,73,0.000000,"\text{Not used}","int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)),x)","\int \frac{d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)} \,d x","Not used",0,"int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)), x)","F"
36,0,-1,75,0.000000,"\text{Not used}","int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^2),x)","\int \frac{d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^2} \,d x","Not used",0,"int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^2), x)","F"
37,0,-1,77,0.000000,"\text{Not used}","int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^3),x)","\int \frac{d\,x^m+e\,{\ln\left(c\,x^n\right)}^{q-1}}{x\,{\left(a\,x^m+b\,{\ln\left(c\,x^n\right)}^q\right)}^3} \,d x","Not used",0,"int((d*x^m + e*log(c*x^n)^(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^3), x)","F"
38,1,26,26,0.325076,"\text{Not used}","int(-(a*d*m*x^m*log(c*x^n) - a*d*n*x^m + b*d*n*log(c*x^n)^q*(q - 1))/(x*(a*x^m + b*log(c*x^n)^q)^2),x)","\frac{d\,\ln\left(c\,x^n\right)}{a\,x^m+b\,{\ln\left(c\,x^n\right)}^q}","Not used",1,"(d*log(c*x^n))/(a*x^m + b*log(c*x^n)^q)","B"
39,0,-1,61,0.000000,"\text{Not used}","int(-(log(c*x^n) - n*q)/(b*log(c*x^n)^q + a*x)^2,x)","\int -\frac{\ln\left(c\,x^n\right)-n\,q}{{\left(b\,{\ln\left(c\,x^n\right)}^q+a\,x\right)}^2} \,d x","Not used",0,"int(-(log(c*x^n) - n*q)/(b*log(c*x^n)^q + a*x)^2, x)","F"
40,0,-1,49,0.000000,"\text{Not used}","int(log((2*x*(e*x + d*(-e/d)^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x+d\,\sqrt{-\frac{e}{d}}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x + d*(-e/d)^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
41,0,-1,50,0.000000,"\text{Not used}","int(log((2*x*(e*x - d*(-e/d)^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x-d\,\sqrt{-\frac{e}{d}}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x - d*(-e/d)^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
42,0,-1,53,0.000000,"\text{Not used}","int(log((2*x*(e*x - (-d)^(1/2)*e^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x-\sqrt{-d}\,\sqrt{e}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x - (-d)^(1/2)*e^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
43,0,-1,52,0.000000,"\text{Not used}","int(log((2*x*(e*x + (-d)^(1/2)*e^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x+\sqrt{-d}\,\sqrt{e}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x + (-d)^(1/2)*e^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
44,0,-1,49,0.000000,"\text{Not used}","int(log((2*x*(e*x + d^(1/2)*(-e)^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x+\sqrt{d}\,\sqrt{-e}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x + d^(1/2)*(-e)^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
45,0,-1,50,0.000000,"\text{Not used}","int(log((2*x*(e*x - d^(1/2)*(-e)^(1/2)))/(d + e*x^2))/(d + e*x^2),x)","\int \frac{\ln\left(\frac{2\,x\,\left(e\,x-\sqrt{d}\,\sqrt{-e}\right)}{e\,x^2+d}\right)}{e\,x^2+d} \,d x","Not used",1,"int(log((2*x*(e*x - d^(1/2)*(-e)^(1/2)))/(d + e*x^2))/(d + e*x^2), x)","F"
46,0,-1,67,0.000000,"\text{Not used}","int((a + b*log(c*log(d*x)^p))*(e*x)^m,x)","\int \left(a+b\,\ln\left(c\,{\ln\left(d\,x\right)}^p\right)\right)\,{\left(e\,x\right)}^m \,d x","Not used",1,"int((a + b*log(c*log(d*x)^p))*(e*x)^m, x)","F"
47,0,-1,79,0.000000,"\text{Not used}","int((e*x)^m*(a + b*log(c*log(d*x^n)^p)),x)","\int {\left(e\,x\right)}^m\,\left(a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)\right) \,d x","Not used",1,"int((e*x)^m*(a + b*log(c*log(d*x^n)^p)), x)","F"
48,0,-1,55,0.000000,"\text{Not used}","int(x^2*(a + b*log(c*log(d*x^n)^p)),x)","\int x^2\,\left(a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)\right) \,d x","Not used",1,"int(x^2*(a + b*log(c*log(d*x^n)^p)), x)","F"
49,0,-1,55,0.000000,"\text{Not used}","int(x*(a + b*log(c*log(d*x^n)^p)),x)","\int x\,\left(a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)\right) \,d x","Not used",1,"int(x*(a + b*log(c*log(d*x^n)^p)), x)","F"
50,0,-1,45,0.000000,"\text{Not used}","int(a + b*log(c*log(d*x^n)^p),x)","\int a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right) \,d x","Not used",1,"int(a + b*log(c*log(d*x^n)^p), x)","F"
51,1,32,32,0.322779,"\text{Not used}","int((a + b*log(c*log(d*x^n)^p))/x,x)","\ln\left(x\right)\,\left(a-b\,p\right)+\frac{b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)\,\ln\left(d\,x^n\right)}{n}","Not used",1,"log(x)*(a - b*p) + (b*log(c*log(d*x^n)^p)*log(d*x^n))/n","B"
52,0,-1,48,0.000000,"\text{Not used}","int((a + b*log(c*log(d*x^n)^p))/x^2,x)","\int \frac{a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)}{x^2} \,d x","Not used",1,"int((a + b*log(c*log(d*x^n)^p))/x^2, x)","F"
53,0,-1,55,0.000000,"\text{Not used}","int((a + b*log(c*log(d*x^n)^p))/x^3,x)","\int \frac{a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)}{x^3} \,d x","Not used",1,"int((a + b*log(c*log(d*x^n)^p))/x^3, x)","F"
54,0,-1,55,0.000000,"\text{Not used}","int((a + b*log(c*log(d*x^n)^p))/x^4,x)","\int \frac{a+b\,\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)}{x^4} \,d x","Not used",1,"int((a + b*log(c*log(d*x^n)^p))/x^4, x)","F"
55,1,22,22,0.310044,"\text{Not used}","int(log(c*log(d*x)^p),x)","x\,\ln\left(c\,{\ln\left(d\,x\right)}^p\right)-\frac{p\,\mathrm{logint}\left(d\,x\right)}{d}","Not used",1,"x*log(c*log(d*x)^p) - (p*logint(d*x))/d","B"
56,1,20,20,0.283802,"\text{Not used}","int(log(c*log(d*x)^p)/x,x)","\ln\left(c\,{\ln\left(d\,x\right)}^p\right)\,\ln\left(d\,x\right)-p\,\ln\left(x\right)","Not used",1,"log(c*log(d*x)^p)*log(d*x) - p*log(x)","B"
57,0,-1,40,0.000000,"\text{Not used}","int(log(c*log(d*x^n)^p),x)","\int \ln\left(c\,{\ln\left(d\,x^n\right)}^p\right) \,d x","Not used",1,"int(log(c*log(d*x^n)^p), x)","F"
58,1,27,27,0.295197,"\text{Not used}","int(log(c*log(d*x^n)^p)/x,x)","\frac{\ln\left(c\,{\ln\left(d\,x^n\right)}^p\right)\,\ln\left(d\,x^n\right)}{n}-p\,\ln\left(x\right)","Not used",1,"(log(c*log(d*x^n)^p)*log(d*x^n))/n - p*log(x)","B"
59,0,-1,66,0.000000,"\text{Not used}","int(x^m*log(d*(b*x + c*x^2)^n),x)","\int x^m\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right) \,d x","Not used",1,"int(x^m*log(d*(b*x + c*x^2)^n), x)","F"
60,1,85,99,0.323557,"\text{Not used}","int(x^4*log(d*(b*x + c*x^2)^n),x)","\frac{x^5\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{5}-\frac{2\,n\,x^5}{25}-\frac{b^2\,n\,x^3}{15\,c^2}+\frac{b^3\,n\,x^2}{10\,c^3}+\frac{b^5\,n\,\ln\left(b+c\,x\right)}{5\,c^5}+\frac{b\,n\,x^4}{20\,c}-\frac{b^4\,n\,x}{5\,c^4}","Not used",1,"(x^5*log(d*(b*x + c*x^2)^n))/5 - (2*n*x^5)/25 - (b^2*n*x^3)/(15*c^2) + (b^3*n*x^2)/(10*c^3) + (b^5*n*log(b + c*x))/(5*c^5) + (b*n*x^4)/(20*c) - (b^4*n*x)/(5*c^4)","B"
61,1,73,85,0.337773,"\text{Not used}","int(x^3*log(d*(b*x + c*x^2)^n),x)","\frac{x^4\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{4}-\frac{n\,x^4}{8}-\frac{b^2\,n\,x^2}{8\,c^2}-\frac{b^4\,n\,\ln\left(b+c\,x\right)}{4\,c^4}+\frac{b\,n\,x^3}{12\,c}+\frac{b^3\,n\,x}{4\,c^3}","Not used",1,"(x^4*log(d*(b*x + c*x^2)^n))/4 - (n*x^4)/8 - (b^2*n*x^2)/(8*c^2) - (b^4*n*log(b + c*x))/(4*c^4) + (b*n*x^3)/(12*c) + (b^3*n*x)/(4*c^3)","B"
62,1,61,71,0.315740,"\text{Not used}","int(x^2*log(d*(b*x + c*x^2)^n),x)","\frac{x^3\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{3}-\frac{2\,n\,x^3}{9}+\frac{b^3\,n\,\ln\left(b+c\,x\right)}{3\,c^3}+\frac{b\,n\,x^2}{6\,c}-\frac{b^2\,n\,x}{3\,c^2}","Not used",1,"(x^3*log(d*(b*x + c*x^2)^n))/3 - (2*n*x^3)/9 + (b^3*n*log(b + c*x))/(3*c^3) + (b*n*x^2)/(6*c) - (b^2*n*x)/(3*c^2)","B"
63,1,49,57,0.368232,"\text{Not used}","int(x*log(d*(b*x + c*x^2)^n),x)","\frac{x^2\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{2}-\frac{n\,x^2}{2}+\frac{b\,n\,x}{2\,c}-\frac{b^2\,n\,\ln\left(b+c\,x\right)}{2\,c^2}","Not used",1,"(x^2*log(d*(b*x + c*x^2)^n))/2 - (n*x^2)/2 + (b*n*x)/(2*c) - (b^2*n*log(b + c*x))/(2*c^2)","B"
64,1,33,33,0.357228,"\text{Not used}","int(log(d*(b*x + c*x^2)^n),x)","x\,\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)-2\,n\,x+\frac{b\,n\,\ln\left(b+c\,x\right)}{c}","Not used",1,"x*log(d*(b*x + c*x^2)^n) - 2*n*x + (b*n*log(b + c*x))/c","B"
65,0,-1,53,0.000000,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)/x,x)","\int \frac{\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{x} \,d x","Not used",1,"int(log(d*(b*x + c*x^2)^n)/x, x)","F"
66,1,43,47,0.795715,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)/x^2,x)","-\frac{\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{x}-\frac{n}{x}-\frac{2\,c\,n\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{b}","Not used",1,"- log(d*(b*x + c*x^2)^n)/x - n/x - (2*c*n*atanh((2*c*x)/b + 1))/b","B"
67,1,54,72,0.476427,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)/x^3,x)","\frac{c^2\,n\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{b^2}-\frac{\frac{n}{2}+\frac{c\,n\,x}{b}}{2\,x^2}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{2\,x^2}","Not used",1,"(c^2*n*atanh((2*c*x)/b + 1))/b^2 - (n/2 + (c*n*x)/b)/(2*x^2) - log(d*(b*x + c*x^2)^n)/(2*x^2)","B"
68,1,68,86,0.455511,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)/x^4,x)","-\frac{\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{3\,x^3}-\frac{\frac{n}{3}-\frac{c^2\,n\,x^2}{b^2}+\frac{c\,n\,x}{2\,b}}{3\,x^3}-\frac{2\,c^3\,n\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{3\,b^3}","Not used",1,"- log(d*(b*x + c*x^2)^n)/(3*x^3) - (n/3 - (c^2*n*x^2)/b^2 + (c*n*x)/(2*b))/(3*x^3) - (2*c^3*n*atanh((2*c*x)/b + 1))/(3*b^3)","B"
69,1,79,100,0.486640,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)/x^5,x)","\frac{c^4\,n\,\mathrm{atanh}\left(\frac{2\,c\,x}{b}+1\right)}{2\,b^4}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}{4\,x^4}-\frac{\frac{n}{4}-\frac{c^2\,n\,x^2}{2\,b^2}+\frac{c^3\,n\,x^3}{b^3}+\frac{c\,n\,x}{3\,b}}{4\,x^4}","Not used",1,"(c^4*n*atanh((2*c*x)/b + 1))/(2*b^4) - log(d*(b*x + c*x^2)^n)/(4*x^4) - (n/4 - (c^2*n*x^2)/(2*b^2) + (c^3*n*x^3)/b^3 + (c*n*x)/(3*b))/(4*x^4)","B"
70,0,-1,157,0.000000,"\text{Not used}","int(x^m*log(d*(a + b*x + c*x^2)^n),x)","\int x^m\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right) \,d x","Not used",1,"int(x^m*log(d*(a + b*x + c*x^2)^n), x)","F"
71,1,395,207,0.591757,"\text{Not used}","int(x^4*log(d*(a + b*x + c*x^2)^n),x)","x^2\,\left(\frac{b\,\left(\frac{b^2\,n}{5\,c^2}-\frac{2\,a\,n}{5\,c}\right)}{2\,c}-\frac{a\,b\,n}{10\,c^2}\right)-\frac{2\,n\,x^5}{25}+x\,\left(\frac{a\,\left(\frac{b^2\,n}{5\,c^2}-\frac{2\,a\,n}{5\,c}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b^2\,n}{5\,c^2}-\frac{2\,a\,n}{5\,c}\right)}{c}-\frac{a\,b\,n}{5\,c^2}\right)}{c}\right)+\frac{x^5\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{5}-x^3\,\left(\frac{b^2\,n}{15\,c^2}-\frac{2\,a\,n}{15\,c}\right)+\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^5\,n}{10}+c^2\,\left(\frac{a^2\,n\,\sqrt{b^2-4\,a\,c}}{10}+\frac{a^2\,b\,n}{2}\right)-c\,\left(\frac{a\,b^3\,n}{2}+\frac{3\,a\,b^2\,n\,\sqrt{b^2-4\,a\,c}}{10}\right)+\frac{b^4\,n\,\sqrt{b^2-4\,a\,c}}{10}\right)}{c^5}-\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(c^2\,\left(\frac{a^2\,n\,\sqrt{b^2-4\,a\,c}}{10}-\frac{a^2\,b\,n}{2}\right)-\frac{b^5\,n}{10}+c\,\left(\frac{a\,b^3\,n}{2}-\frac{3\,a\,b^2\,n\,\sqrt{b^2-4\,a\,c}}{10}\right)+\frac{b^4\,n\,\sqrt{b^2-4\,a\,c}}{10}\right)}{c^5}+\frac{b\,n\,x^4}{20\,c}","Not used",1,"x^2*((b*((b^2*n)/(5*c^2) - (2*a*n)/(5*c)))/(2*c) - (a*b*n)/(10*c^2)) - (2*n*x^5)/25 + x*((a*((b^2*n)/(5*c^2) - (2*a*n)/(5*c)))/c - (b*((b*((b^2*n)/(5*c^2) - (2*a*n)/(5*c)))/c - (a*b*n)/(5*c^2)))/c) + (x^5*log(d*(a + b*x + c*x^2)^n))/5 - x^3*((b^2*n)/(15*c^2) - (2*a*n)/(15*c)) + (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*((b^5*n)/10 + c^2*((a^2*n*(b^2 - 4*a*c)^(1/2))/10 + (a^2*b*n)/2) - c*((a*b^3*n)/2 + (3*a*b^2*n*(b^2 - 4*a*c)^(1/2))/10) + (b^4*n*(b^2 - 4*a*c)^(1/2))/10))/c^5 - (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(c^2*((a^2*n*(b^2 - 4*a*c)^(1/2))/10 - (a^2*b*n)/2) - (b^5*n)/10 + c*((a*b^3*n)/2 - (3*a*b^2*n*(b^2 - 4*a*c)^(1/2))/10) + (b^4*n*(b^2 - 4*a*c)^(1/2))/10))/c^5 + (b*n*x^4)/(20*c)","B"
72,1,288,167,0.544078,"\text{Not used}","int(x^3*log(d*(a + b*x + c*x^2)^n),x)","x\,\left(\frac{b\,\left(\frac{b^2\,n}{4\,c^2}-\frac{a\,n}{2\,c}\right)}{c}-\frac{a\,b\,n}{4\,c^2}\right)-\frac{n\,x^4}{8}+\frac{x^4\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{4}-x^2\,\left(\frac{b^2\,n}{8\,c^2}-\frac{a\,n}{4\,c}\right)+\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(c\,\left(\frac{a\,b^2\,n}{2}-\frac{a\,b\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)-\frac{b^4\,n}{8}+\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}-\frac{a^2\,c^2\,n}{4}\right)}{c^4}-\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^4\,n}{8}-c\,\left(\frac{a\,b^2\,n}{2}+\frac{a\,b\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)+\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}+\frac{a^2\,c^2\,n}{4}\right)}{c^4}+\frac{b\,n\,x^3}{12\,c}","Not used",1,"x*((b*((b^2*n)/(4*c^2) - (a*n)/(2*c)))/c - (a*b*n)/(4*c^2)) - (n*x^4)/8 + (x^4*log(d*(a + b*x + c*x^2)^n))/4 - x^2*((b^2*n)/(8*c^2) - (a*n)/(4*c)) + (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(c*((a*b^2*n)/2 - (a*b*n*(b^2 - 4*a*c)^(1/2))/4) - (b^4*n)/8 + (b^3*n*(b^2 - 4*a*c)^(1/2))/8 - (a^2*c^2*n)/4))/c^4 - (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*((b^4*n)/8 - c*((a*b^2*n)/2 + (a*b*n*(b^2 - 4*a*c)^(1/2))/4) + (b^3*n*(b^2 - 4*a*c)^(1/2))/8 + (a^2*c^2*n)/4))/c^4 + (b*n*x^3)/(12*c)","B"
73,1,229,136,0.504452,"\text{Not used}","int(x^2*log(d*(a + b*x + c*x^2)^n),x)","\frac{x^3\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{3}-\frac{2\,n\,x^3}{9}-x\,\left(\frac{b^2\,n}{3\,c^2}-\frac{2\,a\,n}{3\,c}\right)-\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(c\,\left(\frac{a\,b\,n}{2}-\frac{a\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)-\frac{b^3\,n}{6}+\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)}{c^3}+\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3\,n}{6}-c\,\left(\frac{a\,b\,n}{2}+\frac{a\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)+\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)}{c^3}+\frac{b\,n\,x^2}{6\,c}","Not used",1,"(x^3*log(d*(a + b*x + c*x^2)^n))/3 - (2*n*x^3)/9 - x*((b^2*n)/(3*c^2) - (2*a*n)/(3*c)) - (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(c*((a*b*n)/2 - (a*n*(b^2 - 4*a*c)^(1/2))/6) - (b^3*n)/6 + (b^2*n*(b^2 - 4*a*c)^(1/2))/6))/c^3 + (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*((b^3*n)/6 - c*((a*b*n)/2 + (a*n*(b^2 - 4*a*c)^(1/2))/6) + (b^2*n*(b^2 - 4*a*c)^(1/2))/6))/c^3 + (b*n*x^2)/(6*c)","B"
74,1,166,109,0.554011,"\text{Not used}","int(x*log(d*(a + b*x + c*x^2)^n),x)","\frac{x^2\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{2}-\frac{n\,x^2}{2}-\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^2\,n-2\,a\,c\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,c^2}+\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(2\,a\,c\,n-b^2\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,c^2}+\frac{b\,n\,x}{2\,c}","Not used",1,"(x^2*log(d*(a + b*x + c*x^2)^n))/2 - (n*x^2)/2 - (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^2*n - 2*a*c*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*c^2) + (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(2*a*c*n - b^2*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*c^2) + (b*n*x)/(2*c)","B"
75,1,120,79,0.341688,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n),x)","x\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)-2\,n\,x-\frac{n\,\mathrm{atan}\left(\frac{b\,n\,\sqrt{4\,a\,c-b^2}}{2\,\left(\frac{b^2\,n}{2}-2\,a\,c\,n\right)}-\frac{n\,x\,\sqrt{4\,a\,c-b^2}}{2\,a\,n-\frac{b^2\,n}{2\,c}}\right)\,\sqrt{4\,a\,c-b^2}}{c}+\frac{b\,n\,\ln\left(c\,x^2+b\,x+a\right)}{2\,c}","Not used",1,"x*log(d*(a + b*x + c*x^2)^n) - 2*n*x - (n*atan((b*n*(4*a*c - b^2)^(1/2))/(2*((b^2*n)/2 - 2*a*c*n)) - (n*x*(4*a*c - b^2)^(1/2))/(2*a*n - (b^2*n)/(2*c)))*(4*a*c - b^2)^(1/2))/c + (b*n*log(a + b*x + c*x^2))/(2*c)","B"
76,0,-1,129,0.000000,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/x,x)","\int \frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{x} \,d x","Not used",1,"int(log(d*(a + b*x + c*x^2)^n)/x, x)","F"
77,1,262,86,0.931824,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/x^2,x)","\frac{b\,n\,\ln\left(x\right)}{a}-\frac{\ln\left(2\,b\,c^2\,n^2+4\,c^3\,n^2\,x-\frac{n\,\left(b-\sqrt{b^2-4\,a\,c}\right)\,\left(b^2\,c\,n-2\,a\,c^2\,n+b\,c^2\,n\,x+\frac{c\,n\,\left(b-\sqrt{b^2-4\,a\,c}\right)\,\left(2\,x\,b^2+a\,b-6\,a\,c\,x\right)}{2\,a}\right)}{2\,a}\right)\,\left(b\,n-n\,\sqrt{b^2-4\,a\,c}\right)}{2\,a}-\frac{\ln\left(2\,b\,c^2\,n^2+4\,c^3\,n^2\,x-\frac{n\,\left(b+\sqrt{b^2-4\,a\,c}\right)\,\left(b^2\,c\,n-2\,a\,c^2\,n+b\,c^2\,n\,x+\frac{c\,n\,\left(b+\sqrt{b^2-4\,a\,c}\right)\,\left(2\,x\,b^2+a\,b-6\,a\,c\,x\right)}{2\,a}\right)}{2\,a}\right)\,\left(b\,n+n\,\sqrt{b^2-4\,a\,c}\right)}{2\,a}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{x}","Not used",1,"(b*n*log(x))/a - (log(2*b*c^2*n^2 + 4*c^3*n^2*x - (n*(b - (b^2 - 4*a*c)^(1/2))*(b^2*c*n - 2*a*c^2*n + b*c^2*n*x + (c*n*(b - (b^2 - 4*a*c)^(1/2))*(a*b + 2*b^2*x - 6*a*c*x))/(2*a)))/(2*a))*(b*n - n*(b^2 - 4*a*c)^(1/2)))/(2*a) - (log(2*b*c^2*n^2 + 4*c^3*n^2*x - (n*(b + (b^2 - 4*a*c)^(1/2))*(b^2*c*n - 2*a*c^2*n + b*c^2*n*x + (c*n*(b + (b^2 - 4*a*c)^(1/2))*(a*b + 2*b^2*x - 6*a*c*x))/(2*a)))/(2*a))*(b*n + n*(b^2 - 4*a*c)^(1/2)))/(2*a) - log(d*(a + b*x + c*x^2)^n)/x","B"
78,1,474,121,0.759837,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/x^3,x)","\frac{\ln\left(\frac{b^3\,c^2\,n^2-2\,a\,b\,c^3\,n^2}{4\,a^2}+\frac{\left(b^2\,n-2\,a\,c\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{\left(\frac{x\,\left(24\,a^3\,c^2-8\,a^2\,b^2\,c\right)}{4\,a^2}-a\,b\,c\right)\,\left(b^2\,n-2\,a\,c\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^2}-\frac{2\,a\,b^3\,c\,n-6\,a^2\,b\,c^2\,n}{4\,a^2}+\frac{x\,\left(12\,a^2\,c^3\,n-4\,a\,b^2\,c^2\,n\right)}{4\,a^2}\right)}{4\,a^2}+\frac{b^2\,c^3\,n^2\,x}{4\,a^2}\right)\,\left(b^2\,n-2\,a\,c\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^2}-\frac{\ln\left(x\right)\,\left(b^2\,n-2\,a\,c\,n\right)}{2\,a^2}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{2\,x^2}-\frac{\ln\left(\frac{b^3\,c^2\,n^2-2\,a\,b\,c^3\,n^2}{4\,a^2}+\frac{\left(2\,a\,c\,n-b^2\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{2\,a\,b^3\,c\,n-6\,a^2\,b\,c^2\,n}{4\,a^2}+\frac{\left(\frac{x\,\left(24\,a^3\,c^2-8\,a^2\,b^2\,c\right)}{4\,a^2}-a\,b\,c\right)\,\left(2\,a\,c\,n-b^2\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^2}-\frac{x\,\left(12\,a^2\,c^3\,n-4\,a\,b^2\,c^2\,n\right)}{4\,a^2}\right)}{4\,a^2}+\frac{b^2\,c^3\,n^2\,x}{4\,a^2}\right)\,\left(2\,a\,c\,n-b^2\,n+b\,n\,\sqrt{b^2-4\,a\,c}\right)}{4\,a^2}-\frac{b\,n}{2\,a\,x}","Not used",1,"(log((b^3*c^2*n^2 - 2*a*b*c^3*n^2)/(4*a^2) + ((b^2*n - 2*a*c*n + b*n*(b^2 - 4*a*c)^(1/2))*((((x*(24*a^3*c^2 - 8*a^2*b^2*c))/(4*a^2) - a*b*c)*(b^2*n - 2*a*c*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*a^2) - (2*a*b^3*c*n - 6*a^2*b*c^2*n)/(4*a^2) + (x*(12*a^2*c^3*n - 4*a*b^2*c^2*n))/(4*a^2)))/(4*a^2) + (b^2*c^3*n^2*x)/(4*a^2))*(b^2*n - 2*a*c*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*a^2) - (log(x)*(b^2*n - 2*a*c*n))/(2*a^2) - log(d*(a + b*x + c*x^2)^n)/(2*x^2) - (log((b^3*c^2*n^2 - 2*a*b*c^3*n^2)/(4*a^2) + ((2*a*c*n - b^2*n + b*n*(b^2 - 4*a*c)^(1/2))*((2*a*b^3*c*n - 6*a^2*b*c^2*n)/(4*a^2) + (((x*(24*a^3*c^2 - 8*a^2*b^2*c))/(4*a^2) - a*b*c)*(2*a*c*n - b^2*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*a^2) - (x*(12*a^2*c^3*n - 4*a*b^2*c^2*n))/(4*a^2)))/(4*a^2) + (b^2*c^3*n^2*x)/(4*a^2))*(2*a*c*n - b^2*n + b*n*(b^2 - 4*a*c)^(1/2)))/(4*a^2) - (b*n)/(2*a*x)","B"
79,1,505,149,0.932791,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/x^4,x)","\frac{\ln\left(2\,a\,b^4\,\sqrt{b^2-4\,a\,c}-2\,b^6\,x-2\,a\,b^5+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}+13\,a^2\,b^3\,c-20\,a^3\,b\,c^2+4\,a^3\,c^3\,x+2\,a^3\,c^2\,\sqrt{b^2-4\,a\,c}-25\,a^2\,b^2\,c^2\,x+14\,a\,b^4\,c\,x-7\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-10\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(\frac{b\,c\,n}{2}-\frac{c\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)-\frac{b^3\,n}{6}+\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)}{a^3}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{3\,x^3}-\frac{\frac{b\,n}{2\,a}+\frac{n\,x\,\left(2\,a\,c-b^2\right)}{a^2}}{3\,x^2}-\frac{\ln\left(2\,a\,b^5+2\,b^6\,x+2\,a\,b^4\,\sqrt{b^2-4\,a\,c}+2\,b^5\,x\,\sqrt{b^2-4\,a\,c}-13\,a^2\,b^3\,c+20\,a^3\,b\,c^2-4\,a^3\,c^3\,x+2\,a^3\,c^2\,\sqrt{b^2-4\,a\,c}+25\,a^2\,b^2\,c^2\,x-14\,a\,b^4\,c\,x-7\,a^2\,b^2\,c\,\sqrt{b^2-4\,a\,c}-10\,a\,b^3\,c\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^3\,n}{6}-a\,\left(\frac{b\,c\,n}{2}+\frac{c\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)+\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}\right)}{a^3}+\frac{\ln\left(x\right)\,\left(b^3\,n-3\,a\,b\,c\,n\right)}{3\,a^3}","Not used",1,"(log(2*a*b^4*(b^2 - 4*a*c)^(1/2) - 2*b^6*x - 2*a*b^5 + 2*b^5*x*(b^2 - 4*a*c)^(1/2) + 13*a^2*b^3*c - 20*a^3*b*c^2 + 4*a^3*c^3*x + 2*a^3*c^2*(b^2 - 4*a*c)^(1/2) - 25*a^2*b^2*c^2*x + 14*a*b^4*c*x - 7*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 10*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*(a*((b*c*n)/2 - (c*n*(b^2 - 4*a*c)^(1/2))/6) - (b^3*n)/6 + (b^2*n*(b^2 - 4*a*c)^(1/2))/6))/a^3 - log(d*(a + b*x + c*x^2)^n)/(3*x^3) - ((b*n)/(2*a) + (n*x*(2*a*c - b^2))/a^2)/(3*x^2) - (log(2*a*b^5 + 2*b^6*x + 2*a*b^4*(b^2 - 4*a*c)^(1/2) + 2*b^5*x*(b^2 - 4*a*c)^(1/2) - 13*a^2*b^3*c + 20*a^3*b*c^2 - 4*a^3*c^3*x + 2*a^3*c^2*(b^2 - 4*a*c)^(1/2) + 25*a^2*b^2*c^2*x - 14*a*b^4*c*x - 7*a^2*b^2*c*(b^2 - 4*a*c)^(1/2) - 10*a*b^3*c*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b*c^2*x*(b^2 - 4*a*c)^(1/2))*((b^3*n)/6 - a*((b*c*n)/2 + (c*n*(b^2 - 4*a*c)^(1/2))/6) + (b^2*n*(b^2 - 4*a*c)^(1/2))/6))/a^3 + (log(x)*(b^3*n - 3*a*b*c*n))/(3*a^3)","B"
80,1,627,190,1.065155,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/x^5,x)","\frac{\ln\left(2\,a\,b^6+2\,b^7\,x-12\,a^4\,c^3+2\,a\,b^5\,\sqrt{b^2-4\,a\,c}+2\,b^6\,x\,\sqrt{b^2-4\,a\,c}-15\,a^2\,b^4\,c+31\,a^3\,b^2\,c^2+37\,a^2\,b^3\,c^2\,x-16\,a\,b^5\,c\,x-20\,a^3\,b\,c^3\,x-9\,a^2\,b^3\,c\,\sqrt{b^2-4\,a\,c}+7\,a^3\,b\,c^2\,\sqrt{b^2-4\,a\,c}-6\,a^3\,c^3\,x\,\sqrt{b^2-4\,a\,c}-12\,a\,b^4\,c\,x\,\sqrt{b^2-4\,a\,c}+19\,a^2\,b^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^4\,n}{8}-a\,\left(\frac{b^2\,c\,n}{2}+\frac{b\,c\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)+\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}+\frac{a^2\,c^2\,n}{4}\right)}{a^4}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{4\,x^4}-\frac{\ln\left(x\right)\,\left(2\,n\,a^2\,c^2-4\,n\,a\,b^2\,c+n\,b^4\right)}{4\,a^4}-\frac{\ln\left(12\,a^4\,c^3-2\,b^7\,x-2\,a\,b^6+2\,a\,b^5\,\sqrt{b^2-4\,a\,c}+2\,b^6\,x\,\sqrt{b^2-4\,a\,c}+15\,a^2\,b^4\,c-31\,a^3\,b^2\,c^2-37\,a^2\,b^3\,c^2\,x+16\,a\,b^5\,c\,x+20\,a^3\,b\,c^3\,x-9\,a^2\,b^3\,c\,\sqrt{b^2-4\,a\,c}+7\,a^3\,b\,c^2\,\sqrt{b^2-4\,a\,c}-6\,a^3\,c^3\,x\,\sqrt{b^2-4\,a\,c}-12\,a\,b^4\,c\,x\,\sqrt{b^2-4\,a\,c}+19\,a^2\,b^2\,c^2\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(a\,\left(\frac{b^2\,c\,n}{2}-\frac{b\,c\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)-\frac{b^4\,n}{8}+\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}-\frac{a^2\,c^2\,n}{4}\right)}{a^4}-\frac{\frac{b\,n}{3\,a}+\frac{n\,x\,\left(2\,a\,c-b^2\right)}{2\,a^2}-\frac{b\,n\,x^2\,\left(3\,a\,c-b^2\right)}{a^3}}{4\,x^3}","Not used",1,"(log(2*a*b^6 + 2*b^7*x - 12*a^4*c^3 + 2*a*b^5*(b^2 - 4*a*c)^(1/2) + 2*b^6*x*(b^2 - 4*a*c)^(1/2) - 15*a^2*b^4*c + 31*a^3*b^2*c^2 + 37*a^2*b^3*c^2*x - 16*a*b^5*c*x - 20*a^3*b*c^3*x - 9*a^2*b^3*c*(b^2 - 4*a*c)^(1/2) + 7*a^3*b*c^2*(b^2 - 4*a*c)^(1/2) - 6*a^3*c^3*x*(b^2 - 4*a*c)^(1/2) - 12*a*b^4*c*x*(b^2 - 4*a*c)^(1/2) + 19*a^2*b^2*c^2*x*(b^2 - 4*a*c)^(1/2))*((b^4*n)/8 - a*((b^2*c*n)/2 + (b*c*n*(b^2 - 4*a*c)^(1/2))/4) + (b^3*n*(b^2 - 4*a*c)^(1/2))/8 + (a^2*c^2*n)/4))/a^4 - log(d*(a + b*x + c*x^2)^n)/(4*x^4) - (log(x)*(b^4*n + 2*a^2*c^2*n - 4*a*b^2*c*n))/(4*a^4) - (log(12*a^4*c^3 - 2*b^7*x - 2*a*b^6 + 2*a*b^5*(b^2 - 4*a*c)^(1/2) + 2*b^6*x*(b^2 - 4*a*c)^(1/2) + 15*a^2*b^4*c - 31*a^3*b^2*c^2 - 37*a^2*b^3*c^2*x + 16*a*b^5*c*x + 20*a^3*b*c^3*x - 9*a^2*b^3*c*(b^2 - 4*a*c)^(1/2) + 7*a^3*b*c^2*(b^2 - 4*a*c)^(1/2) - 6*a^3*c^3*x*(b^2 - 4*a*c)^(1/2) - 12*a*b^4*c*x*(b^2 - 4*a*c)^(1/2) + 19*a^2*b^2*c^2*x*(b^2 - 4*a*c)^(1/2))*(a*((b^2*c*n)/2 - (b*c*n*(b^2 - 4*a*c)^(1/2))/4) - (b^4*n)/8 + (b^3*n*(b^2 - 4*a*c)^(1/2))/8 - (a^2*c^2*n)/4))/a^4 - ((b*n)/(3*a) + (n*x*(2*a*c - b^2))/(2*a^2) - (b*n*x^2*(3*a*c - b^2))/a^3)/(4*x^3)","B"
81,1,39,42,0.063721,"\text{Not used}","int(log(x + x^2 + 1),x)","\frac{\ln\left(x^2+x+1\right)}{2}-2\,x+\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)+x\,\ln\left(x^2+x+1\right)","Not used",1,"log(x + x^2 + 1)/2 - 2*x + 3^(1/2)*atan((2*3^(1/2)*x)/3 + 3^(1/2)/3) + x*log(x + x^2 + 1)","B"
82,1,1240,485,1.029644,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)*(d + e*x)^4,x)","x^3\,\left(\frac{b\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{3\,c}+\frac{2\,a\,e^4\,n}{15\,c}-\frac{d\,e^2\,n\,\left(b\,e+4\,c\,d\right)}{3\,c}\right)-x\,\left(\frac{a\,\left(\frac{b\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{c}+\frac{2\,a\,e^4\,n}{5\,c}-\frac{d\,e^2\,n\,\left(b\,e+4\,c\,d\right)}{c}\right)}{c}-\frac{b\,\left(\frac{b\,\left(\frac{b\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{c}+\frac{2\,a\,e^4\,n}{5\,c}-\frac{d\,e^2\,n\,\left(b\,e+4\,c\,d\right)}{c}\right)}{c}-\frac{a\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{c}+\frac{2\,d^2\,e\,n\,\left(b\,e+2\,c\,d\right)}{c}\right)}{c}+\frac{2\,d^3\,n\,\left(b\,e+c\,d\right)}{c}\right)-x^2\,\left(\frac{b\,\left(\frac{b\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{c}+\frac{2\,a\,e^4\,n}{5\,c}-\frac{d\,e^2\,n\,\left(b\,e+4\,c\,d\right)}{c}\right)}{2\,c}-\frac{a\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{5\,c}-\frac{2\,b\,e^4\,n}{5\,c}\right)}{2\,c}+\frac{d^2\,e\,n\,\left(b\,e+2\,c\,d\right)}{c}\right)-x^4\,\left(\frac{e^3\,n\,\left(b\,e+10\,c\,d\right)}{20\,c}-\frac{b\,e^4\,n}{10\,c}\right)+\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)\,\left(d^4\,x+2\,d^3\,e\,x^2+2\,d^2\,e^2\,x^3+d\,e^3\,x^4+\frac{e^4\,x^5}{5}\right)+\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^5\,e^4\,n+5\,b\,c^4\,d^4\,n+b^4\,e^4\,n\,\sqrt{b^2-4\,a\,c}+5\,c^4\,d^4\,n\,\sqrt{b^2-4\,a\,c}-5\,a\,b^3\,c\,e^4\,n+20\,a\,c^4\,d^3\,e\,n-5\,b^4\,c\,d\,e^3\,n+5\,a^2\,b\,c^2\,e^4\,n-10\,a^2\,c^3\,d\,e^3\,n-10\,b^2\,c^3\,d^3\,e\,n+a^2\,c^2\,e^4\,n\,\sqrt{b^2-4\,a\,c}+10\,b^3\,c^2\,d^2\,e^2\,n-10\,a\,c^3\,d^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}-3\,a\,b^2\,c\,e^4\,n\,\sqrt{b^2-4\,a\,c}-10\,b\,c^3\,d^3\,e\,n\,\sqrt{b^2-4\,a\,c}-5\,b^3\,c\,d\,e^3\,n\,\sqrt{b^2-4\,a\,c}-30\,a\,b\,c^3\,d^2\,e^2\,n+20\,a\,b^2\,c^2\,d\,e^3\,n+10\,a\,b\,c^2\,d\,e^3\,n\,\sqrt{b^2-4\,a\,c}\right)}{10\,c^5}-\frac{2\,e^4\,n\,x^5}{25}+\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^5\,e^4\,n+5\,b\,c^4\,d^4\,n-b^4\,e^4\,n\,\sqrt{b^2-4\,a\,c}-5\,c^4\,d^4\,n\,\sqrt{b^2-4\,a\,c}-5\,a\,b^3\,c\,e^4\,n+20\,a\,c^4\,d^3\,e\,n-5\,b^4\,c\,d\,e^3\,n+5\,a^2\,b\,c^2\,e^4\,n-10\,a^2\,c^3\,d\,e^3\,n-10\,b^2\,c^3\,d^3\,e\,n-a^2\,c^2\,e^4\,n\,\sqrt{b^2-4\,a\,c}+10\,b^3\,c^2\,d^2\,e^2\,n+10\,a\,c^3\,d^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}-10\,b^2\,c^2\,d^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}+3\,a\,b^2\,c\,e^4\,n\,\sqrt{b^2-4\,a\,c}+10\,b\,c^3\,d^3\,e\,n\,\sqrt{b^2-4\,a\,c}+5\,b^3\,c\,d\,e^3\,n\,\sqrt{b^2-4\,a\,c}-30\,a\,b\,c^3\,d^2\,e^2\,n+20\,a\,b^2\,c^2\,d\,e^3\,n-10\,a\,b\,c^2\,d\,e^3\,n\,\sqrt{b^2-4\,a\,c}\right)}{10\,c^5}","Not used",1,"x^3*((b*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/(3*c) + (2*a*e^4*n)/(15*c) - (d*e^2*n*(b*e + 4*c*d))/(3*c)) - x*((a*((b*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/c + (2*a*e^4*n)/(5*c) - (d*e^2*n*(b*e + 4*c*d))/c))/c - (b*((b*((b*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/c + (2*a*e^4*n)/(5*c) - (d*e^2*n*(b*e + 4*c*d))/c))/c - (a*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/c + (2*d^2*e*n*(b*e + 2*c*d))/c))/c + (2*d^3*n*(b*e + c*d))/c) - x^2*((b*((b*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/c + (2*a*e^4*n)/(5*c) - (d*e^2*n*(b*e + 4*c*d))/c))/(2*c) - (a*((e^3*n*(b*e + 10*c*d))/(5*c) - (2*b*e^4*n)/(5*c)))/(2*c) + (d^2*e*n*(b*e + 2*c*d))/c) - x^4*((e^3*n*(b*e + 10*c*d))/(20*c) - (b*e^4*n)/(10*c)) + log(d*(a + b*x + c*x^2)^n)*(d^4*x + (e^4*x^5)/5 + 2*d^3*e*x^2 + d*e^3*x^4 + 2*d^2*e^2*x^3) + (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^5*e^4*n + 5*b*c^4*d^4*n + b^4*e^4*n*(b^2 - 4*a*c)^(1/2) + 5*c^4*d^4*n*(b^2 - 4*a*c)^(1/2) - 5*a*b^3*c*e^4*n + 20*a*c^4*d^3*e*n - 5*b^4*c*d*e^3*n + 5*a^2*b*c^2*e^4*n - 10*a^2*c^3*d*e^3*n - 10*b^2*c^3*d^3*e*n + a^2*c^2*e^4*n*(b^2 - 4*a*c)^(1/2) + 10*b^3*c^2*d^2*e^2*n - 10*a*c^3*d^2*e^2*n*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^2*n*(b^2 - 4*a*c)^(1/2) - 3*a*b^2*c*e^4*n*(b^2 - 4*a*c)^(1/2) - 10*b*c^3*d^3*e*n*(b^2 - 4*a*c)^(1/2) - 5*b^3*c*d*e^3*n*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^2*n + 20*a*b^2*c^2*d*e^3*n + 10*a*b*c^2*d*e^3*n*(b^2 - 4*a*c)^(1/2)))/(10*c^5) - (2*e^4*n*x^5)/25 + (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^5*e^4*n + 5*b*c^4*d^4*n - b^4*e^4*n*(b^2 - 4*a*c)^(1/2) - 5*c^4*d^4*n*(b^2 - 4*a*c)^(1/2) - 5*a*b^3*c*e^4*n + 20*a*c^4*d^3*e*n - 5*b^4*c*d*e^3*n + 5*a^2*b*c^2*e^4*n - 10*a^2*c^3*d*e^3*n - 10*b^2*c^3*d^3*e*n - a^2*c^2*e^4*n*(b^2 - 4*a*c)^(1/2) + 10*b^3*c^2*d^2*e^2*n + 10*a*c^3*d^2*e^2*n*(b^2 - 4*a*c)^(1/2) - 10*b^2*c^2*d^2*e^2*n*(b^2 - 4*a*c)^(1/2) + 3*a*b^2*c*e^4*n*(b^2 - 4*a*c)^(1/2) + 10*b*c^3*d^3*e*n*(b^2 - 4*a*c)^(1/2) + 5*b^3*c*d*e^3*n*(b^2 - 4*a*c)^(1/2) - 30*a*b*c^3*d^2*e^2*n + 20*a*b^2*c^2*d*e^3*n - 10*a*b*c^2*d*e^3*n*(b^2 - 4*a*c)^(1/2)))/(10*c^5)","B"
83,1,775,338,0.836965,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)*(d + e*x)^3,x)","\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\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^3\,\left(\frac{e^2\,n\,\left(b\,e+8\,c\,d\right)}{12\,c}-\frac{b\,e^3\,n}{6\,c}\right)-x\,\left(\frac{b\,\left(\frac{b\,\left(\frac{e^2\,n\,\left(b\,e+8\,c\,d\right)}{4\,c}-\frac{b\,e^3\,n}{2\,c}\right)}{c}+\frac{a\,e^3\,n}{2\,c}-\frac{d\,e\,n\,\left(b\,e+3\,c\,d\right)}{c}\right)}{c}-\frac{a\,\left(\frac{e^2\,n\,\left(b\,e+8\,c\,d\right)}{4\,c}-\frac{b\,e^3\,n}{2\,c}\right)}{c}+\frac{d^2\,n\,\left(3\,b\,e+4\,c\,d\right)}{2\,c}\right)+x^2\,\left(\frac{b\,\left(\frac{e^2\,n\,\left(b\,e+8\,c\,d\right)}{4\,c}-\frac{b\,e^3\,n}{2\,c}\right)}{2\,c}+\frac{a\,e^3\,n}{4\,c}-\frac{d\,e\,n\,\left(b\,e+3\,c\,d\right)}{2\,c}\right)-\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^4\,e^3\,n+2\,a^2\,c^2\,e^3\,n-4\,b\,c^3\,d^3\,n+b^3\,e^3\,n\,\sqrt{b^2-4\,a\,c}-4\,c^3\,d^3\,n\,\sqrt{b^2-4\,a\,c}-4\,a\,b^2\,c\,e^3\,n-12\,a\,c^3\,d^2\,e\,n-4\,b^3\,c\,d\,e^2\,n+6\,b^2\,c^2\,d^2\,e\,n-2\,a\,b\,c\,e^3\,n\,\sqrt{b^2-4\,a\,c}+12\,a\,b\,c^2\,d\,e^2\,n+4\,a\,c^2\,d\,e^2\,n\,\sqrt{b^2-4\,a\,c}+6\,b\,c^2\,d^2\,e\,n\,\sqrt{b^2-4\,a\,c}-4\,b^2\,c\,d\,e^2\,n\,\sqrt{b^2-4\,a\,c}\right)}{8\,c^4}-\frac{e^3\,n\,x^4}{8}-\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^4\,e^3\,n+2\,a^2\,c^2\,e^3\,n-4\,b\,c^3\,d^3\,n-b^3\,e^3\,n\,\sqrt{b^2-4\,a\,c}+4\,c^3\,d^3\,n\,\sqrt{b^2-4\,a\,c}-4\,a\,b^2\,c\,e^3\,n-12\,a\,c^3\,d^2\,e\,n-4\,b^3\,c\,d\,e^2\,n+6\,b^2\,c^2\,d^2\,e\,n+2\,a\,b\,c\,e^3\,n\,\sqrt{b^2-4\,a\,c}+12\,a\,b\,c^2\,d\,e^2\,n-4\,a\,c^2\,d\,e^2\,n\,\sqrt{b^2-4\,a\,c}-6\,b\,c^2\,d^2\,e\,n\,\sqrt{b^2-4\,a\,c}+4\,b^2\,c\,d\,e^2\,n\,\sqrt{b^2-4\,a\,c}\right)}{8\,c^4}","Not used",1,"log(d*(a + b*x + c*x^2)^n)*(d^3*x + (e^3*x^4)/4 + (3*d^2*e*x^2)/2 + d*e^2*x^3) - x^3*((e^2*n*(b*e + 8*c*d))/(12*c) - (b*e^3*n)/(6*c)) - x*((b*((b*((e^2*n*(b*e + 8*c*d))/(4*c) - (b*e^3*n)/(2*c)))/c + (a*e^3*n)/(2*c) - (d*e*n*(b*e + 3*c*d))/c))/c - (a*((e^2*n*(b*e + 8*c*d))/(4*c) - (b*e^3*n)/(2*c)))/c + (d^2*n*(3*b*e + 4*c*d))/(2*c)) + x^2*((b*((e^2*n*(b*e + 8*c*d))/(4*c) - (b*e^3*n)/(2*c)))/(2*c) + (a*e^3*n)/(4*c) - (d*e*n*(b*e + 3*c*d))/(2*c)) - (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4*e^3*n + 2*a^2*c^2*e^3*n - 4*b*c^3*d^3*n + b^3*e^3*n*(b^2 - 4*a*c)^(1/2) - 4*c^3*d^3*n*(b^2 - 4*a*c)^(1/2) - 4*a*b^2*c*e^3*n - 12*a*c^3*d^2*e*n - 4*b^3*c*d*e^2*n + 6*b^2*c^2*d^2*e*n - 2*a*b*c*e^3*n*(b^2 - 4*a*c)^(1/2) + 12*a*b*c^2*d*e^2*n + 4*a*c^2*d*e^2*n*(b^2 - 4*a*c)^(1/2) + 6*b*c^2*d^2*e*n*(b^2 - 4*a*c)^(1/2) - 4*b^2*c*d*e^2*n*(b^2 - 4*a*c)^(1/2)))/(8*c^4) - (e^3*n*x^4)/8 - (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(b^4*e^3*n + 2*a^2*c^2*e^3*n - 4*b*c^3*d^3*n - b^3*e^3*n*(b^2 - 4*a*c)^(1/2) + 4*c^3*d^3*n*(b^2 - 4*a*c)^(1/2) - 4*a*b^2*c*e^3*n - 12*a*c^3*d^2*e*n - 4*b^3*c*d*e^2*n + 6*b^2*c^2*d^2*e*n + 2*a*b*c*e^3*n*(b^2 - 4*a*c)^(1/2) + 12*a*b*c^2*d*e^2*n - 4*a*c^2*d*e^2*n*(b^2 - 4*a*c)^(1/2) - 6*b*c^2*d^2*e*n*(b^2 - 4*a*c)^(1/2) + 4*b^2*c*d*e^2*n*(b^2 - 4*a*c)^(1/2)))/(8*c^4)","B"
84,1,457,226,0.672450,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)*(d + e*x)^2,x)","\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{\frac{d^2\,n\,\sqrt{b^2-4\,a\,c}}{2}+\frac{b\,d^2\,n}{2}+a\,d\,e\,n}{c}-\frac{\frac{a\,b\,e^2\,n}{2}+\frac{b^2\,d\,e\,n}{2}+\frac{a\,e^2\,n\,\sqrt{b^2-4\,a\,c}}{6}+\frac{b\,d\,e\,n\,\sqrt{b^2-4\,a\,c}}{2}}{c^2}+\frac{b^3\,e^2\,n}{6\,c^3}+\frac{b^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}}{6\,c^3}\right)+x\,\left(\frac{b\,\left(\frac{e\,n\,\left(b\,e+6\,c\,d\right)}{3\,c}-\frac{2\,b\,e^2\,n}{3\,c}\right)}{c}-\frac{d\,n\,\left(b\,e+2\,c\,d\right)}{c}+\frac{2\,a\,e^2\,n}{3\,c}\right)-\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{\frac{a\,b\,e^2\,n}{2}+\frac{b^2\,d\,e\,n}{2}-\frac{a\,e^2\,n\,\sqrt{b^2-4\,a\,c}}{6}-\frac{b\,d\,e\,n\,\sqrt{b^2-4\,a\,c}}{2}}{c^2}-\frac{\frac{b\,d^2\,n}{2}-\frac{d^2\,n\,\sqrt{b^2-4\,a\,c}}{2}+a\,d\,e\,n}{c}-\frac{b^3\,e^2\,n}{6\,c^3}+\frac{b^2\,e^2\,n\,\sqrt{b^2-4\,a\,c}}{6\,c^3}\right)+\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)\,\left(d^2\,x+d\,e\,x^2+\frac{e^2\,x^3}{3}\right)-x^2\,\left(\frac{e\,n\,\left(b\,e+6\,c\,d\right)}{6\,c}-\frac{b\,e^2\,n}{3\,c}\right)-\frac{2\,e^2\,n\,x^3}{9}","Not used",1,"log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(((d^2*n*(b^2 - 4*a*c)^(1/2))/2 + (b*d^2*n)/2 + a*d*e*n)/c - ((a*b*e^2*n)/2 + (b^2*d*e*n)/2 + (a*e^2*n*(b^2 - 4*a*c)^(1/2))/6 + (b*d*e*n*(b^2 - 4*a*c)^(1/2))/2)/c^2 + (b^3*e^2*n)/(6*c^3) + (b^2*e^2*n*(b^2 - 4*a*c)^(1/2))/(6*c^3)) + x*((b*((e*n*(b*e + 6*c*d))/(3*c) - (2*b*e^2*n)/(3*c)))/c - (d*n*(b*e + 2*c*d))/c + (2*a*e^2*n)/(3*c)) - log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(((a*b*e^2*n)/2 + (b^2*d*e*n)/2 - (a*e^2*n*(b^2 - 4*a*c)^(1/2))/6 - (b*d*e*n*(b^2 - 4*a*c)^(1/2))/2)/c^2 - ((b*d^2*n)/2 - (d^2*n*(b^2 - 4*a*c)^(1/2))/2 + a*d*e*n)/c - (b^3*e^2*n)/(6*c^3) + (b^2*e^2*n*(b^2 - 4*a*c)^(1/2))/(6*c^3)) + log(d*(a + b*x + c*x^2)^n)*(d^2*x + (e^2*x^3)/3 + d*e*x^2) - x^2*((e*n*(b*e + 6*c*d))/(6*c) - (b*e^2*n)/(3*c)) - (2*e^2*n*x^3)/9","B"
85,1,242,154,0.589736,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)*(d + e*x),x)","\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)\,\left(\frac{e\,x^2}{2}+d\,x\right)-x\,\left(\frac{n\,\left(b\,e+4\,c\,d\right)}{2\,c}-\frac{b\,e\,n}{c}\right)-\frac{e\,n\,x^2}{2}+\frac{\ln\left(4\,a\,c+b\,\sqrt{b^2-4\,a\,c}-b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(c\,\left(\frac{a\,e\,n}{2}+\frac{b\,d\,n}{2}-\frac{d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{b^2\,e\,n}{4}+\frac{b\,e\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)}{c^2}-\frac{\ln\left(b\,\sqrt{b^2-4\,a\,c}-4\,a\,c+b^2+2\,c\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(\frac{b^2\,e\,n}{4}-c\,\left(\frac{a\,e\,n}{2}+\frac{b\,d\,n}{2}+\frac{d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)+\frac{b\,e\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)}{c^2}","Not used",1,"log(d*(a + b*x + c*x^2)^n)*(d*x + (e*x^2)/2) - x*((n*(b*e + 4*c*d))/(2*c) - (b*e*n)/c) - (e*n*x^2)/2 + (log(4*a*c + b*(b^2 - 4*a*c)^(1/2) - b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*(c*((a*e*n)/2 + (b*d*n)/2 - (d*n*(b^2 - 4*a*c)^(1/2))/2) - (b^2*e*n)/4 + (b*e*n*(b^2 - 4*a*c)^(1/2))/4))/c^2 - (log(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2 + 2*c*x*(b^2 - 4*a*c)^(1/2))*((b^2*e*n)/4 - c*((a*e*n)/2 + (b*d*n)/2 + (d*n*(b^2 - 4*a*c)^(1/2))/2) + (b*e*n*(b^2 - 4*a*c)^(1/2))/4))/c^2","B"
86,1,120,79,0.002143,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n),x)","x\,\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)-2\,n\,x-\frac{n\,\mathrm{atan}\left(\frac{b\,n\,\sqrt{4\,a\,c-b^2}}{2\,\left(\frac{b^2\,n}{2}-2\,a\,c\,n\right)}-\frac{n\,x\,\sqrt{4\,a\,c-b^2}}{2\,a\,n-\frac{b^2\,n}{2\,c}}\right)\,\sqrt{4\,a\,c-b^2}}{c}+\frac{b\,n\,\ln\left(c\,x^2+b\,x+a\right)}{2\,c}","Not used",1,"x*log(d*(a + b*x + c*x^2)^n) - 2*n*x - (n*atan((b*n*(4*a*c - b^2)^(1/2))/(2*((b^2*n)/2 - 2*a*c*n)) - (n*x*(4*a*c - b^2)^(1/2))/(2*a*n - (b^2*n)/(2*c)))*(4*a*c - b^2)^(1/2))/c + (b*n*log(a + b*x + c*x^2))/(2*c)","B"
87,0,-1,228,0.000000,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(d + e*x),x)","\int \frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{d+e\,x} \,d x","Not used",1,"int(log(d*(a + b*x + c*x^2)^n)/(d + e*x), x)","F"
88,1,590,165,3.335765,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(d + e*x)^2,x)","\frac{\ln\left(d+e\,x\right)\,\left(b\,e\,n-2\,c\,d\,n\right)}{c\,d^2\,e-b\,d\,e^2+a\,e^3}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{e\,\left(d+e\,x\right)}-\frac{\ln\left(\frac{2\,b\,c^2\,n^2}{e}+\frac{4\,c^3\,n^2\,x}{e}-\frac{n\,\left(b\,e-2\,c\,d+e\,\sqrt{b^2-4\,a\,c}\right)\,\left(c^2\,n\,x\,\left(b\,e-2\,c\,d\right)-c\,n\,\left(-e\,b^2+c\,d\,b+2\,a\,c\,e\right)+\frac{c\,e\,n\,\left(b\,e-2\,c\,d+e\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)}{2\,\left(c\,d^2\,e-b\,d\,e^2+a\,e^3\right)}\right)}{2\,\left(c\,d^2\,e-b\,d\,e^2+a\,e^3\right)}\right)\,\left(e\,\left(\frac{b\,n}{2}+\frac{n\,\sqrt{b^2-4\,a\,c}}{2}\right)-c\,d\,n\right)}{c\,d^2\,e-b\,d\,e^2+a\,e^3}-\frac{\ln\left(\frac{2\,b\,c^2\,n^2}{e}+\frac{4\,c^3\,n^2\,x}{e}-\frac{n\,\left(2\,c\,d-b\,e+e\,\sqrt{b^2-4\,a\,c}\right)\,\left(c\,n\,\left(-e\,b^2+c\,d\,b+2\,a\,c\,e\right)-c^2\,n\,x\,\left(b\,e-2\,c\,d\right)+\frac{c\,e\,n\,\left(2\,c\,d-b\,e+e\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^2\,d\,e+2\,x\,b^2\,e^2+b\,c\,d^2-2\,x\,b\,c\,d\,e+a\,b\,e^2+2\,x\,c^2\,d^2-8\,a\,c\,d\,e-6\,a\,x\,c\,e^2\right)}{2\,\left(c\,d^2\,e-b\,d\,e^2+a\,e^3\right)}\right)}{2\,\left(c\,d^2\,e-b\,d\,e^2+a\,e^3\right)}\right)\,\left(e\,\left(\frac{b\,n}{2}-\frac{n\,\sqrt{b^2-4\,a\,c}}{2}\right)-c\,d\,n\right)}{c\,d^2\,e-b\,d\,e^2+a\,e^3}","Not used",1,"(log(d + e*x)*(b*e*n - 2*c*d*n))/(a*e^3 - b*d*e^2 + c*d^2*e) - log(d*(a + b*x + c*x^2)^n)/(e*(d + e*x)) - (log((2*b*c^2*n^2)/e + (4*c^3*n^2*x)/e - (n*(b*e - 2*c*d + e*(b^2 - 4*a*c)^(1/2))*(c^2*n*x*(b*e - 2*c*d) - c*n*(2*a*c*e - b^2*e + b*c*d) + (c*e*n*(b*e - 2*c*d + e*(b^2 - 4*a*c)^(1/2))*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x))/(2*(a*e^3 - b*d*e^2 + c*d^2*e))))/(2*(a*e^3 - b*d*e^2 + c*d^2*e)))*(e*((b*n)/2 + (n*(b^2 - 4*a*c)^(1/2))/2) - c*d*n))/(a*e^3 - b*d*e^2 + c*d^2*e) - (log((2*b*c^2*n^2)/e + (4*c^3*n^2*x)/e - (n*(2*c*d - b*e + e*(b^2 - 4*a*c)^(1/2))*(c*n*(2*a*c*e - b^2*e + b*c*d) - c^2*n*x*(b*e - 2*c*d) + (c*e*n*(2*c*d - b*e + e*(b^2 - 4*a*c)^(1/2))*(2*b^2*e^2*x + 2*c^2*d^2*x + a*b*e^2 + b*c*d^2 + b^2*d*e - 6*a*c*e^2*x - 8*a*c*d*e - 2*b*c*d*e*x))/(2*(a*e^3 - b*d*e^2 + c*d^2*e))))/(2*(a*e^3 - b*d*e^2 + c*d^2*e)))*(e*((b*n)/2 - (n*(b^2 - 4*a*c)^(1/2))/2) - c*d*n))/(a*e^3 - b*d*e^2 + c*d^2*e)","B"
89,1,1715,259,4.740830,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(d + e*x)^3,x)","\frac{\ln\left(3\,b^2\,c^3\,d^4-12\,a\,c^4\,d^4-2\,b^5\,e^4\,x-12\,a^3\,c^2\,e^4-2\,a\,b^4\,e^4+2\,b^4\,e^4\,x\,\sqrt{b^2-4\,a\,c}+6\,c^4\,d^4\,x\,\sqrt{b^2-4\,a\,c}+11\,a^2\,b^2\,c\,e^4-2\,b^3\,c^2\,d^3\,e+b^4\,c\,d^2\,e^2+40\,a^2\,c^3\,d^2\,e^2+2\,a\,b^3\,e^4\,\sqrt{b^2-4\,a\,c}+3\,b\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}+8\,a\,b\,c^3\,d^3\,e+6\,a\,b^3\,c\,d\,e^3+12\,a\,b^3\,c\,e^4\,x-32\,a\,c^4\,d^3\,e\,x+8\,b^4\,c\,d\,e^3\,x-5\,a^2\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}-24\,a^2\,b\,c^2\,d\,e^3-16\,a^2\,b\,c^2\,e^4\,x+32\,a^2\,c^3\,d\,e^3\,x+8\,b^2\,c^3\,d^3\,e\,x+16\,a^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+b^3\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+6\,a^2\,c^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}-14\,a\,b^2\,c^2\,d^2\,e^2-12\,b^3\,c^2\,d^2\,e^2\,x+14\,a\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-20\,a\,c^3\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+14\,b^2\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-8\,a\,b^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}-12\,b\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-8\,b^3\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}+48\,a\,b\,c^3\,d^2\,e^2\,x-40\,a\,b^2\,c^2\,d\,e^3\,x+20\,a\,b\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e\,\left(\frac{c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}-\frac{b\,c\,d\,n}{2}\right)-e^2\,\left(\frac{a\,c\,n}{2}-\frac{b^2\,n}{4}+\frac{b\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)+\frac{c^2\,d^2\,n}{2}\right)}{a^2\,e^5-2\,a\,b\,d\,e^4+2\,a\,c\,d^2\,e^3+b^2\,d^2\,e^3-2\,b\,c\,d^3\,e^2+c^2\,d^4\,e}-\frac{\ln\left(d+e\,x\right)\,\left(e^2\,\left(b^2\,n-2\,a\,c\,n\right)+2\,c^2\,d^2\,n-2\,b\,c\,d\,e\,n\right)}{2\,a^2\,e^5-4\,a\,b\,d\,e^4+4\,a\,c\,d^2\,e^3+2\,b^2\,d^2\,e^3-4\,b\,c\,d^3\,e^2+2\,c^2\,d^4\,e}+\frac{\ln\left(2\,a\,b^4\,e^4+12\,a\,c^4\,d^4+2\,b^5\,e^4\,x+12\,a^3\,c^2\,e^4-3\,b^2\,c^3\,d^4+2\,b^4\,e^4\,x\,\sqrt{b^2-4\,a\,c}+6\,c^4\,d^4\,x\,\sqrt{b^2-4\,a\,c}-11\,a^2\,b^2\,c\,e^4+2\,b^3\,c^2\,d^3\,e-b^4\,c\,d^2\,e^2-40\,a^2\,c^3\,d^2\,e^2+2\,a\,b^3\,e^4\,\sqrt{b^2-4\,a\,c}+3\,b\,c^3\,d^4\,\sqrt{b^2-4\,a\,c}-8\,a\,b\,c^3\,d^3\,e-6\,a\,b^3\,c\,d\,e^3-12\,a\,b^3\,c\,e^4\,x+32\,a\,c^4\,d^3\,e\,x-8\,b^4\,c\,d\,e^3\,x-5\,a^2\,b\,c\,e^4\,\sqrt{b^2-4\,a\,c}-16\,a\,c^3\,d^3\,e\,\sqrt{b^2-4\,a\,c}+24\,a^2\,b\,c^2\,d\,e^3+16\,a^2\,b\,c^2\,e^4\,x-32\,a^2\,c^3\,d\,e^3\,x-8\,b^2\,c^3\,d^3\,e\,x+16\,a^2\,c^2\,d\,e^3\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c^2\,d^3\,e\,\sqrt{b^2-4\,a\,c}+b^3\,c\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}+6\,a^2\,c^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}+14\,a\,b^2\,c^2\,d^2\,e^2+12\,b^3\,c^2\,d^2\,e^2\,x+14\,a\,b\,c^2\,d^2\,e^2\,\sqrt{b^2-4\,a\,c}-20\,a\,c^3\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}+14\,b^2\,c^2\,d^2\,e^2\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b^2\,c\,d\,e^3\,\sqrt{b^2-4\,a\,c}-8\,a\,b^2\,c\,e^4\,x\,\sqrt{b^2-4\,a\,c}-12\,b\,c^3\,d^3\,e\,x\,\sqrt{b^2-4\,a\,c}-8\,b^3\,c\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}-48\,a\,b\,c^3\,d^2\,e^2\,x+40\,a\,b^2\,c^2\,d\,e^3\,x+20\,a\,b\,c^2\,d\,e^3\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e^2\,\left(\frac{b^2\,n}{4}-\frac{a\,c\,n}{2}+\frac{b\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)-e\,\left(\frac{c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}+\frac{b\,c\,d\,n}{2}\right)+\frac{c^2\,d^2\,n}{2}\right)}{a^2\,e^5-2\,a\,b\,d\,e^4+2\,a\,c\,d^2\,e^3+b^2\,d^2\,e^3-2\,b\,c\,d^3\,e^2+c^2\,d^4\,e}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{2\,e\,\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}-\frac{n\,\left(b\,e-2\,c\,d\right)}{\left(2\,x\,e^2+2\,d\,e\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"(log(3*b^2*c^3*d^4 - 12*a*c^4*d^4 - 2*b^5*e^4*x - 12*a^3*c^2*e^4 - 2*a*b^4*e^4 + 2*b^4*e^4*x*(b^2 - 4*a*c)^(1/2) + 6*c^4*d^4*x*(b^2 - 4*a*c)^(1/2) + 11*a^2*b^2*c*e^4 - 2*b^3*c^2*d^3*e + b^4*c*d^2*e^2 + 40*a^2*c^3*d^2*e^2 + 2*a*b^3*e^4*(b^2 - 4*a*c)^(1/2) + 3*b*c^3*d^4*(b^2 - 4*a*c)^(1/2) + 8*a*b*c^3*d^3*e + 6*a*b^3*c*d*e^3 + 12*a*b^3*c*e^4*x - 32*a*c^4*d^3*e*x + 8*b^4*c*d*e^3*x - 5*a^2*b*c*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) - 24*a^2*b*c^2*d*e^3 - 16*a^2*b*c^2*e^4*x + 32*a^2*c^3*d*e^3*x + 8*b^2*c^3*d^3*e*x + 16*a^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) - 2*b^2*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + b^3*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 6*a^2*c^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 14*a*b^2*c^2*d^2*e^2 - 12*b^3*c^2*d^2*e^2*x + 14*a*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 20*a*c^3*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 14*b^2*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*a*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 8*a*b^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) - 12*b*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 8*b^3*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) + 48*a*b*c^3*d^2*e^2*x - 40*a*b^2*c^2*d*e^3*x + 20*a*b*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(e*((c*d*n*(b^2 - 4*a*c)^(1/2))/2 - (b*c*d*n)/2) - e^2*((a*c*n)/2 - (b^2*n)/4 + (b*n*(b^2 - 4*a*c)^(1/2))/4) + (c^2*d^2*n)/2))/(a^2*e^5 + c^2*d^4*e + b^2*d^2*e^3 - 2*a*b*d*e^4 + 2*a*c*d^2*e^3 - 2*b*c*d^3*e^2) - (log(d + e*x)*(e^2*(b^2*n - 2*a*c*n) + 2*c^2*d^2*n - 2*b*c*d*e*n))/(2*a^2*e^5 + 2*c^2*d^4*e + 2*b^2*d^2*e^3 - 4*a*b*d*e^4 + 4*a*c*d^2*e^3 - 4*b*c*d^3*e^2) + (log(2*a*b^4*e^4 + 12*a*c^4*d^4 + 2*b^5*e^4*x + 12*a^3*c^2*e^4 - 3*b^2*c^3*d^4 + 2*b^4*e^4*x*(b^2 - 4*a*c)^(1/2) + 6*c^4*d^4*x*(b^2 - 4*a*c)^(1/2) - 11*a^2*b^2*c*e^4 + 2*b^3*c^2*d^3*e - b^4*c*d^2*e^2 - 40*a^2*c^3*d^2*e^2 + 2*a*b^3*e^4*(b^2 - 4*a*c)^(1/2) + 3*b*c^3*d^4*(b^2 - 4*a*c)^(1/2) - 8*a*b*c^3*d^3*e - 6*a*b^3*c*d*e^3 - 12*a*b^3*c*e^4*x + 32*a*c^4*d^3*e*x - 8*b^4*c*d*e^3*x - 5*a^2*b*c*e^4*(b^2 - 4*a*c)^(1/2) - 16*a*c^3*d^3*e*(b^2 - 4*a*c)^(1/2) + 24*a^2*b*c^2*d*e^3 + 16*a^2*b*c^2*e^4*x - 32*a^2*c^3*d*e^3*x - 8*b^2*c^3*d^3*e*x + 16*a^2*c^2*d*e^3*(b^2 - 4*a*c)^(1/2) - 2*b^2*c^2*d^3*e*(b^2 - 4*a*c)^(1/2) + b^3*c*d^2*e^2*(b^2 - 4*a*c)^(1/2) + 6*a^2*c^2*e^4*x*(b^2 - 4*a*c)^(1/2) + 14*a*b^2*c^2*d^2*e^2 + 12*b^3*c^2*d^2*e^2*x + 14*a*b*c^2*d^2*e^2*(b^2 - 4*a*c)^(1/2) - 20*a*c^3*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) + 14*b^2*c^2*d^2*e^2*x*(b^2 - 4*a*c)^(1/2) - 10*a*b^2*c*d*e^3*(b^2 - 4*a*c)^(1/2) - 8*a*b^2*c*e^4*x*(b^2 - 4*a*c)^(1/2) - 12*b*c^3*d^3*e*x*(b^2 - 4*a*c)^(1/2) - 8*b^3*c*d*e^3*x*(b^2 - 4*a*c)^(1/2) - 48*a*b*c^3*d^2*e^2*x + 40*a*b^2*c^2*d*e^3*x + 20*a*b*c^2*d*e^3*x*(b^2 - 4*a*c)^(1/2))*(e^2*((b^2*n)/4 - (a*c*n)/2 + (b*n*(b^2 - 4*a*c)^(1/2))/4) - e*((c*d*n*(b^2 - 4*a*c)^(1/2))/2 + (b*c*d*n)/2) + (c^2*d^2*n)/2))/(a^2*e^5 + c^2*d^4*e + b^2*d^2*e^3 - 2*a*b*d*e^4 + 2*a*c*d^2*e^3 - 2*b*c*d^3*e^2) - log(d*(a + b*x + c*x^2)^n)/(2*e*(d^2 + e^2*x^2 + 2*d*e*x)) - (n*(b*e - 2*c*d))/((2*d*e + 2*e^2*x)*(a*e^2 + c*d^2 - b*d*e))","B"
90,1,2707,356,11.301857,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(d + e*x)^4,x)","\frac{\ln\left(d+e\,x\right)\,\left(e^3\,\left(b^3\,n-3\,a\,b\,c\,n\right)+e^2\,\left(6\,a\,c^2\,d\,n-3\,b^2\,c\,d\,n\right)-2\,c^3\,d^3\,n+3\,b\,c^2\,d^2\,e\,n\right)}{3\,a^3\,e^7-9\,a^2\,b\,d\,e^6+9\,a^2\,c\,d^2\,e^5+9\,a\,b^2\,d^2\,e^5-18\,a\,b\,c\,d^3\,e^4+9\,a\,c^2\,d^4\,e^3-3\,b^3\,d^3\,e^4+9\,b^2\,c\,d^4\,e^3-9\,b\,c^2\,d^5\,e^2+3\,c^3\,d^6\,e}-\frac{\ln\left(32\,a\,b^5\,e^5-2\,a\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}-192\,a\,c^5\,d^5+32\,b^6\,e^5\,x+48\,b^2\,c^4\,d^5-18\,b^3\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-3\,b^5\,e^5\,x\,\sqrt{b^2-4\,a\,c}+96\,c^5\,d^5\,x\,\sqrt{b^2-4\,a\,c}-208\,a^2\,b^3\,c\,e^5+320\,a^3\,b\,c^2\,e^5-704\,a^3\,c^3\,d\,e^4-48\,b^3\,c^3\,d^4\,e-16\,b^5\,c\,d^2\,e^3-64\,a^3\,c^3\,e^5\,x+1152\,a^2\,c^4\,d^3\,e^2+48\,b^4\,c^2\,d^3\,e^2-33\,b\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-11\,b\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-24\,a\,b^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-6\,a\,b^4\,e^5\,\sqrt{b^2-4\,a\,c}+48\,b\,c^4\,d^5\,\sqrt{b^2-4\,a\,c}+18\,b^3\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+15\,b^5\,d\,e^4\,\sqrt{b^2-4\,a\,c}+44\,c\,d^2\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+72\,c^3\,d^4\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}+22\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+192\,a\,b\,c^4\,d^4\,e-128\,a\,b^4\,c\,d\,e^4+120\,b^3\,c^2\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}-224\,a\,b^4\,c\,e^5\,x-576\,a\,c^5\,d^4\,e\,x-160\,b^5\,c\,d\,e^4\,x+144\,b^2\,c^4\,d^4\,e\,x-72\,b\,c^2\,d^3\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-120\,b^2\,c^3\,d^4\,e\,\sqrt{b^2-4\,a\,c}-60\,b^4\,c\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}+144\,c^3\,d^3\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-480\,a\,b^2\,c^3\,d^3\,e^2+320\,a\,b^3\,c^2\,d^2\,e^3-1024\,a^2\,b\,c^3\,d^2\,e^3+688\,a^2\,b^2\,c^2\,d\,e^4+400\,a^2\,b^2\,c^2\,e^5\,x+1408\,a^2\,c^4\,d^2\,e^3\,x-288\,b^3\,c^3\,d^3\,e^2\,x+304\,b^4\,c^2\,d^2\,e^3\,x-216\,b\,c^2\,d^2\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-1568\,a\,b^2\,c^3\,d^2\,e^3\,x+240\,b^2\,c^3\,d^3\,e^2\,x\,\sqrt{b^2-4\,a\,c}-120\,b^3\,c^2\,d^2\,e^3\,x\,\sqrt{b^2-4\,a\,c}-240\,b\,c^4\,d^4\,e\,x\,\sqrt{b^2-4\,a\,c}+108\,b^2\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+30\,b^4\,c\,d\,e^4\,x\,\sqrt{b^2-4\,a\,c}+1152\,a\,b\,c^4\,d^3\,e^2\,x+992\,a\,b^3\,c^2\,d\,e^4\,x-1408\,a^2\,b\,c^3\,d\,e^4\,x\right)\,\left(e^3\,\left(\frac{b^3\,n}{6}-\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}+\frac{a\,c\,n\,\sqrt{b^2-4\,a\,c}}{6}-\frac{a\,b\,c\,n}{2}\right)+e^2\,\left(a\,c^2\,d\,n-\frac{b^2\,c\,d\,n}{2}+\frac{b\,c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)+e\,\left(\frac{b\,c^2\,d^2\,n}{2}-\frac{c^2\,d^2\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{c^3\,d^3\,n}{3}\right)}{a^3\,e^7-3\,a^2\,b\,d\,e^6+3\,a^2\,c\,d^2\,e^5+3\,a\,b^2\,d^2\,e^5-6\,a\,b\,c\,d^3\,e^4+3\,a\,c^2\,d^4\,e^3-b^3\,d^3\,e^4+3\,b^2\,c\,d^4\,e^3-3\,b\,c^2\,d^5\,e^2+c^3\,d^6\,e}-\frac{\ln\left(2\,a\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}+32\,a\,b^5\,e^5-192\,a\,c^5\,d^5+32\,b^6\,e^5\,x+48\,b^2\,c^4\,d^5+18\,b^3\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+3\,b^5\,e^5\,x\,\sqrt{b^2-4\,a\,c}-96\,c^5\,d^5\,x\,\sqrt{b^2-4\,a\,c}-208\,a^2\,b^3\,c\,e^5+320\,a^3\,b\,c^2\,e^5-704\,a^3\,c^3\,d\,e^4-48\,b^3\,c^3\,d^4\,e-16\,b^5\,c\,d^2\,e^3-64\,a^3\,c^3\,e^5\,x+1152\,a^2\,c^4\,d^3\,e^2+48\,b^4\,c^2\,d^3\,e^2+33\,b\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+11\,b\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+24\,a\,b^2\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}+6\,a\,b^4\,e^5\,\sqrt{b^2-4\,a\,c}-48\,b\,c^4\,d^5\,\sqrt{b^2-4\,a\,c}-18\,b^3\,d\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}-15\,b^5\,d\,e^4\,\sqrt{b^2-4\,a\,c}-44\,c\,d^2\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}-72\,c^3\,d^4\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}-22\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+192\,a\,b\,c^4\,d^4\,e-128\,a\,b^4\,c\,d\,e^4-120\,b^3\,c^2\,d^3\,e^2\,\sqrt{b^2-4\,a\,c}-224\,a\,b^4\,c\,e^5\,x-576\,a\,c^5\,d^4\,e\,x-160\,b^5\,c\,d\,e^4\,x+144\,b^2\,c^4\,d^4\,e\,x+72\,b\,c^2\,d^3\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}+120\,b^2\,c^3\,d^4\,e\,\sqrt{b^2-4\,a\,c}+60\,b^4\,c\,d^2\,e^3\,\sqrt{b^2-4\,a\,c}-144\,c^3\,d^3\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-480\,a\,b^2\,c^3\,d^3\,e^2+320\,a\,b^3\,c^2\,d^2\,e^3-1024\,a^2\,b\,c^3\,d^2\,e^3+688\,a^2\,b^2\,c^2\,d\,e^4+400\,a^2\,b^2\,c^2\,e^5\,x+1408\,a^2\,c^4\,d^2\,e^3\,x-288\,b^3\,c^3\,d^3\,e^2\,x+304\,b^4\,c^2\,d^2\,e^3\,x+216\,b\,c^2\,d^2\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-1568\,a\,b^2\,c^3\,d^2\,e^3\,x-240\,b^2\,c^3\,d^3\,e^2\,x\,\sqrt{b^2-4\,a\,c}+120\,b^3\,c^2\,d^2\,e^3\,x\,\sqrt{b^2-4\,a\,c}+240\,b\,c^4\,d^4\,e\,x\,\sqrt{b^2-4\,a\,c}-108\,b^2\,c\,d\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-30\,b^4\,c\,d\,e^4\,x\,\sqrt{b^2-4\,a\,c}+1152\,a\,b\,c^4\,d^3\,e^2\,x+992\,a\,b^3\,c^2\,d\,e^4\,x-1408\,a^2\,b\,c^3\,d\,e^4\,x\right)\,\left(e^3\,\left(\frac{b^3\,n}{6}+\frac{b^2\,n\,\sqrt{b^2-4\,a\,c}}{6}-\frac{a\,c\,n\,\sqrt{b^2-4\,a\,c}}{6}-\frac{a\,b\,c\,n}{2}\right)-e^2\,\left(\frac{b^2\,c\,d\,n}{2}-a\,c^2\,d\,n+\frac{b\,c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)+e\,\left(\frac{b\,c^2\,d^2\,n}{2}+\frac{c^2\,d^2\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{c^3\,d^3\,n}{3}\right)}{a^3\,e^7-3\,a^2\,b\,d\,e^6+3\,a^2\,c\,d^2\,e^5+3\,a\,b^2\,d^2\,e^5-6\,a\,b\,c\,d^3\,e^4+3\,a\,c^2\,d^4\,e^3-b^3\,d^3\,e^4+3\,b^2\,c\,d^4\,e^3-3\,b\,c^2\,d^5\,e^2+c^3\,d^6\,e}-\frac{\frac{-3\,n\,b^2\,d\,e^2+7\,n\,b\,c\,d^2\,e+a\,n\,b\,e^3-6\,n\,c^2\,d^3+2\,a\,n\,c\,d\,e^2}{2\,\left(a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4\right)}-\frac{n\,x\,\left(b^2\,e^3-2\,b\,c\,d\,e^2+2\,c^2\,d^2\,e-2\,a\,c\,e^3\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}}{3\,d^2\,e+6\,d\,e^2\,x+3\,e^3\,x^2}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{3\,e\,\left(d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3\right)}","Not used",1,"(log(d + e*x)*(e^3*(b^3*n - 3*a*b*c*n) + e^2*(6*a*c^2*d*n - 3*b^2*c*d*n) - 2*c^3*d^3*n + 3*b*c^2*d^2*e*n))/(3*a^3*e^7 + 3*c^3*d^6*e - 3*b^3*d^3*e^4 + 9*a*b^2*d^2*e^5 + 9*a*c^2*d^4*e^3 + 9*a^2*c*d^2*e^5 - 9*b*c^2*d^5*e^2 + 9*b^2*c*d^4*e^3 - 9*a^2*b*d*e^6 - 18*a*b*c*d^3*e^4) - (log(32*a*b^5*e^5 - 2*a*e^5*(b^2 - 4*a*c)^(5/2) - 192*a*c^5*d^5 + 32*b^6*e^5*x + 48*b^2*c^4*d^5 - 18*b^3*e^5*x*(b^2 - 4*a*c)^(3/2) - 3*b^5*e^5*x*(b^2 - 4*a*c)^(1/2) + 96*c^5*d^5*x*(b^2 - 4*a*c)^(1/2) - 208*a^2*b^3*c*e^5 + 320*a^3*b*c^2*e^5 - 704*a^3*c^3*d*e^4 - 48*b^3*c^3*d^4*e - 16*b^5*c*d^2*e^3 - 64*a^3*c^3*e^5*x + 1152*a^2*c^4*d^3*e^2 + 48*b^4*c^2*d^3*e^2 - 33*b*d*e^4*(b^2 - 4*a*c)^(5/2) - 11*b*e^5*x*(b^2 - 4*a*c)^(5/2) - 24*a*b^2*e^5*(b^2 - 4*a*c)^(3/2) - 6*a*b^4*e^5*(b^2 - 4*a*c)^(1/2) + 48*b*c^4*d^5*(b^2 - 4*a*c)^(1/2) + 18*b^3*d*e^4*(b^2 - 4*a*c)^(3/2) + 15*b^5*d*e^4*(b^2 - 4*a*c)^(1/2) + 44*c*d^2*e^3*(b^2 - 4*a*c)^(5/2) + 72*c^3*d^4*e*(b^2 - 4*a*c)^(3/2) + 22*c*d*e^4*x*(b^2 - 4*a*c)^(5/2) + 192*a*b*c^4*d^4*e - 128*a*b^4*c*d*e^4 + 120*b^3*c^2*d^3*e^2*(b^2 - 4*a*c)^(1/2) - 224*a*b^4*c*e^5*x - 576*a*c^5*d^4*e*x - 160*b^5*c*d*e^4*x + 144*b^2*c^4*d^4*e*x - 72*b*c^2*d^3*e^2*(b^2 - 4*a*c)^(3/2) - 120*b^2*c^3*d^4*e*(b^2 - 4*a*c)^(1/2) - 60*b^4*c*d^2*e^3*(b^2 - 4*a*c)^(1/2) + 144*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(3/2) - 480*a*b^2*c^3*d^3*e^2 + 320*a*b^3*c^2*d^2*e^3 - 1024*a^2*b*c^3*d^2*e^3 + 688*a^2*b^2*c^2*d*e^4 + 400*a^2*b^2*c^2*e^5*x + 1408*a^2*c^4*d^2*e^3*x - 288*b^3*c^3*d^3*e^2*x + 304*b^4*c^2*d^2*e^3*x - 216*b*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(3/2) - 1568*a*b^2*c^3*d^2*e^3*x + 240*b^2*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(1/2) - 120*b^3*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(1/2) - 240*b*c^4*d^4*e*x*(b^2 - 4*a*c)^(1/2) + 108*b^2*c*d*e^4*x*(b^2 - 4*a*c)^(3/2) + 30*b^4*c*d*e^4*x*(b^2 - 4*a*c)^(1/2) + 1152*a*b*c^4*d^3*e^2*x + 992*a*b^3*c^2*d*e^4*x - 1408*a^2*b*c^3*d*e^4*x)*(e^3*((b^3*n)/6 - (b^2*n*(b^2 - 4*a*c)^(1/2))/6 + (a*c*n*(b^2 - 4*a*c)^(1/2))/6 - (a*b*c*n)/2) + e^2*(a*c^2*d*n - (b^2*c*d*n)/2 + (b*c*d*n*(b^2 - 4*a*c)^(1/2))/2) + e*((b*c^2*d^2*n)/2 - (c^2*d^2*n*(b^2 - 4*a*c)^(1/2))/2) - (c^3*d^3*n)/3))/(a^3*e^7 + c^3*d^6*e - b^3*d^3*e^4 + 3*a*b^2*d^2*e^5 + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 - 3*b*c^2*d^5*e^2 + 3*b^2*c*d^4*e^3 - 3*a^2*b*d*e^6 - 6*a*b*c*d^3*e^4) - (log(2*a*e^5*(b^2 - 4*a*c)^(5/2) + 32*a*b^5*e^5 - 192*a*c^5*d^5 + 32*b^6*e^5*x + 48*b^2*c^4*d^5 + 18*b^3*e^5*x*(b^2 - 4*a*c)^(3/2) + 3*b^5*e^5*x*(b^2 - 4*a*c)^(1/2) - 96*c^5*d^5*x*(b^2 - 4*a*c)^(1/2) - 208*a^2*b^3*c*e^5 + 320*a^3*b*c^2*e^5 - 704*a^3*c^3*d*e^4 - 48*b^3*c^3*d^4*e - 16*b^5*c*d^2*e^3 - 64*a^3*c^3*e^5*x + 1152*a^2*c^4*d^3*e^2 + 48*b^4*c^2*d^3*e^2 + 33*b*d*e^4*(b^2 - 4*a*c)^(5/2) + 11*b*e^5*x*(b^2 - 4*a*c)^(5/2) + 24*a*b^2*e^5*(b^2 - 4*a*c)^(3/2) + 6*a*b^4*e^5*(b^2 - 4*a*c)^(1/2) - 48*b*c^4*d^5*(b^2 - 4*a*c)^(1/2) - 18*b^3*d*e^4*(b^2 - 4*a*c)^(3/2) - 15*b^5*d*e^4*(b^2 - 4*a*c)^(1/2) - 44*c*d^2*e^3*(b^2 - 4*a*c)^(5/2) - 72*c^3*d^4*e*(b^2 - 4*a*c)^(3/2) - 22*c*d*e^4*x*(b^2 - 4*a*c)^(5/2) + 192*a*b*c^4*d^4*e - 128*a*b^4*c*d*e^4 - 120*b^3*c^2*d^3*e^2*(b^2 - 4*a*c)^(1/2) - 224*a*b^4*c*e^5*x - 576*a*c^5*d^4*e*x - 160*b^5*c*d*e^4*x + 144*b^2*c^4*d^4*e*x + 72*b*c^2*d^3*e^2*(b^2 - 4*a*c)^(3/2) + 120*b^2*c^3*d^4*e*(b^2 - 4*a*c)^(1/2) + 60*b^4*c*d^2*e^3*(b^2 - 4*a*c)^(1/2) - 144*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(3/2) - 480*a*b^2*c^3*d^3*e^2 + 320*a*b^3*c^2*d^2*e^3 - 1024*a^2*b*c^3*d^2*e^3 + 688*a^2*b^2*c^2*d*e^4 + 400*a^2*b^2*c^2*e^5*x + 1408*a^2*c^4*d^2*e^3*x - 288*b^3*c^3*d^3*e^2*x + 304*b^4*c^2*d^2*e^3*x + 216*b*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(3/2) - 1568*a*b^2*c^3*d^2*e^3*x - 240*b^2*c^3*d^3*e^2*x*(b^2 - 4*a*c)^(1/2) + 120*b^3*c^2*d^2*e^3*x*(b^2 - 4*a*c)^(1/2) + 240*b*c^4*d^4*e*x*(b^2 - 4*a*c)^(1/2) - 108*b^2*c*d*e^4*x*(b^2 - 4*a*c)^(3/2) - 30*b^4*c*d*e^4*x*(b^2 - 4*a*c)^(1/2) + 1152*a*b*c^4*d^3*e^2*x + 992*a*b^3*c^2*d*e^4*x - 1408*a^2*b*c^3*d*e^4*x)*(e^3*((b^3*n)/6 + (b^2*n*(b^2 - 4*a*c)^(1/2))/6 - (a*c*n*(b^2 - 4*a*c)^(1/2))/6 - (a*b*c*n)/2) - e^2*((b^2*c*d*n)/2 - a*c^2*d*n + (b*c*d*n*(b^2 - 4*a*c)^(1/2))/2) + e*((b*c^2*d^2*n)/2 + (c^2*d^2*n*(b^2 - 4*a*c)^(1/2))/2) - (c^3*d^3*n)/3))/(a^3*e^7 + c^3*d^6*e - b^3*d^3*e^4 + 3*a*b^2*d^2*e^5 + 3*a*c^2*d^4*e^3 + 3*a^2*c*d^2*e^5 - 3*b*c^2*d^5*e^2 + 3*b^2*c*d^4*e^3 - 3*a^2*b*d*e^6 - 6*a*b*c*d^3*e^4) - ((a*b*e^3*n - 6*c^2*d^3*n - 3*b^2*d*e^2*n + 2*a*c*d*e^2*n + 7*b*c*d^2*e*n)/(2*(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)) - (n*x*(b^2*e^3 + 2*c^2*d^2*e - 2*a*c*e^3 - 2*b*c*d*e^2))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))/(3*d^2*e + 3*e^3*x^2 + 6*d*e^2*x) - log(d*(a + b*x + c*x^2)^n)/(3*e*(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x))","B"
91,1,4334,519,18.948233,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(d + e*x)^5,x)","\frac{\ln\left(10\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{7/2}+3\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{7/2}-6\,a\,e^6\,{\left(4\,a\,c-b^2\right)}^3+96\,c^5\,d^6\,\left(4\,a\,c-b^2\right)-10\,b\,e^6\,x\,{\left(4\,a\,c-b^2\right)}^3-10\,b^5\,e^6\,x\,\left(4\,a\,c-b^2\right)+29\,b^2\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+29\,b^4\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+3\,b^6\,e^6\,x\,\sqrt{b^2-4\,a\,c}+192\,c^6\,d^6\,x\,\sqrt{b^2-4\,a\,c}+44\,a\,b^2\,e^6\,{\left(4\,a\,c-b^2\right)}^2-16\,b^3\,d\,e^5\,{\left(4\,a\,c-b^2\right)}^2+58\,c\,d^2\,e^4\,{\left(4\,a\,c-b^2\right)}^3+176\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}+44\,b^3\,e^6\,x\,{\left(4\,a\,c-b^2\right)}^2+14\,a\,b\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}-232\,c^3\,d^4\,e^2\,{\left(4\,a\,c-b^2\right)}^2-14\,a\,b^4\,e^6\,\left(4\,a\,c-b^2\right)+44\,a\,b^3\,e^6\,{\left(b^2-4\,a\,c\right)}^{3/2}+6\,a\,b^5\,e^6\,\sqrt{b^2-4\,a\,c}+96\,b\,c^5\,d^6\,\sqrt{b^2-4\,a\,c}-48\,b\,d\,e^5\,{\left(4\,a\,c-b^2\right)}^3+32\,b^5\,d\,e^5\,\left(4\,a\,c-b^2\right)+74\,b^2\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}-66\,b^4\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-18\,b^6\,d\,e^5\,\sqrt{b^2-4\,a\,c}+160\,c^4\,d^5\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}+288\,b\,c^2\,d^3\,e^3\,{\left(4\,a\,c-b^2\right)}^2-84\,b^2\,c\,d^2\,e^4\,{\left(4\,a\,c-b^2\right)}^2-40\,b^2\,c^3\,d^4\,e^2\,\left(4\,a\,c-b^2\right)+160\,b^3\,c^2\,d^3\,e^3\,\left(4\,a\,c-b^2\right)-64\,b^2\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+360\,b^3\,c^3\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}-240\,b^4\,c^2\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}-352\,c^3\,d^3\,e^3\,x\,{\left(4\,a\,c-b^2\right)}^2-128\,b\,c^4\,d^5\,e\,\left(4\,a\,c-b^2\right)-206\,b\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}+20\,c\,d\,e^5\,x\,{\left(4\,a\,c-b^2\right)}^3+320\,c^5\,d^5\,e\,x\,\left(4\,a\,c-b^2\right)-110\,b^4\,c\,d^2\,e^4\,\left(4\,a\,c-b^2\right)-168\,b\,c^3\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-288\,b^2\,c^4\,d^5\,e\,\sqrt{b^2-4\,a\,c}+148\,b^3\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+90\,b^5\,c\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}+116\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+464\,c^4\,d^4\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-264\,b^2\,c\,d\,e^5\,x\,{\left(4\,a\,c-b^2\right)}^2-800\,b\,c^4\,d^4\,e^2\,x\,\left(4\,a\,c-b^2\right)-928\,b\,c^3\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-116\,b\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+528\,b\,c^2\,d^2\,e^4\,x\,{\left(4\,a\,c-b^2\right)}^2+800\,b^2\,c^3\,d^3\,e^3\,x\,\left(4\,a\,c-b^2\right)-400\,b^3\,c^2\,d^2\,e^4\,x\,\left(4\,a\,c-b^2\right)+696\,b^2\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+720\,b^2\,c^4\,d^4\,e^2\,x\,\sqrt{b^2-4\,a\,c}-480\,b^3\,c^3\,d^3\,e^3\,x\,\sqrt{b^2-4\,a\,c}+180\,b^4\,c^2\,d^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}+100\,b^4\,c\,d\,e^5\,x\,\left(4\,a\,c-b^2\right)-576\,b\,c^5\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}-232\,b^3\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-36\,b^5\,c\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e^4\,\left(\frac{b^4\,n}{8}+\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}+\frac{a^2\,c^2\,n}{4}-\frac{a\,b^2\,c\,n}{2}-\frac{a\,b\,c\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)-e^3\,\left(\frac{b^3\,c\,d\,n}{2}-\frac{3\,a\,b\,c^2\,d\,n}{2}-\frac{a\,c^2\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}+\frac{b^2\,c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)+e^2\,\left(\frac{3\,b^2\,c^2\,d^2\,n}{4}-\frac{3\,a\,c^3\,d^2\,n}{2}+\frac{3\,b\,c^2\,d^2\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)-e\,\left(\frac{b\,c^3\,d^3\,n}{2}+\frac{c^3\,d^3\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)+\frac{c^4\,d^4\,n}{4}\right)}{a^4\,e^9-4\,a^3\,b\,d\,e^8+4\,a^3\,c\,d^2\,e^7+6\,a^2\,b^2\,d^2\,e^7-12\,a^2\,b\,c\,d^3\,e^6+6\,a^2\,c^2\,d^4\,e^5-4\,a\,b^3\,d^3\,e^6+12\,a\,b^2\,c\,d^4\,e^5-12\,a\,b\,c^2\,d^5\,e^4+4\,a\,c^3\,d^6\,e^3+b^4\,d^4\,e^5-4\,b^3\,c\,d^5\,e^4+6\,b^2\,c^2\,d^6\,e^3-4\,b\,c^3\,d^7\,e^2+c^4\,d^8\,e}-\frac{\ln\left(d+e\,x\right)\,\left(e^2\,\left(6\,b^2\,c^2\,d^2\,n-12\,a\,c^3\,d^2\,n\right)-e^3\,\left(4\,b^3\,c\,d\,n-12\,a\,b\,c^2\,d\,n\right)+e^4\,\left(2\,n\,a^2\,c^2-4\,n\,a\,b^2\,c+n\,b^4\right)+2\,c^4\,d^4\,n-4\,b\,c^3\,d^3\,e\,n\right)}{4\,a^4\,e^9-16\,a^3\,b\,d\,e^8+16\,a^3\,c\,d^2\,e^7+24\,a^2\,b^2\,d^2\,e^7-48\,a^2\,b\,c\,d^3\,e^6+24\,a^2\,c^2\,d^4\,e^5-16\,a\,b^3\,d^3\,e^6+48\,a\,b^2\,c\,d^4\,e^5-48\,a\,b\,c^2\,d^5\,e^4+16\,a\,c^3\,d^6\,e^3+4\,b^4\,d^4\,e^5-16\,b^3\,c\,d^5\,e^4+24\,b^2\,c^2\,d^6\,e^3-16\,b\,c^3\,d^7\,e^2+4\,c^4\,d^8\,e}-\frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{4\,e\,\left(d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4\right)}-\frac{\ln\left(10\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{7/2}+3\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{7/2}+6\,a\,e^6\,{\left(4\,a\,c-b^2\right)}^3-96\,c^5\,d^6\,\left(4\,a\,c-b^2\right)+10\,b\,e^6\,x\,{\left(4\,a\,c-b^2\right)}^3+10\,b^5\,e^6\,x\,\left(4\,a\,c-b^2\right)+29\,b^2\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+29\,b^4\,e^6\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+3\,b^6\,e^6\,x\,\sqrt{b^2-4\,a\,c}+192\,c^6\,d^6\,x\,\sqrt{b^2-4\,a\,c}-44\,a\,b^2\,e^6\,{\left(4\,a\,c-b^2\right)}^2+16\,b^3\,d\,e^5\,{\left(4\,a\,c-b^2\right)}^2-58\,c\,d^2\,e^4\,{\left(4\,a\,c-b^2\right)}^3+176\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{5/2}-44\,b^3\,e^6\,x\,{\left(4\,a\,c-b^2\right)}^2+14\,a\,b\,e^6\,{\left(b^2-4\,a\,c\right)}^{5/2}+232\,c^3\,d^4\,e^2\,{\left(4\,a\,c-b^2\right)}^2+14\,a\,b^4\,e^6\,\left(4\,a\,c-b^2\right)+44\,a\,b^3\,e^6\,{\left(b^2-4\,a\,c\right)}^{3/2}+6\,a\,b^5\,e^6\,\sqrt{b^2-4\,a\,c}+96\,b\,c^5\,d^6\,\sqrt{b^2-4\,a\,c}+48\,b\,d\,e^5\,{\left(4\,a\,c-b^2\right)}^3-32\,b^5\,d\,e^5\,\left(4\,a\,c-b^2\right)+74\,b^2\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{5/2}-66\,b^4\,d\,e^5\,{\left(b^2-4\,a\,c\right)}^{3/2}-18\,b^6\,d\,e^5\,\sqrt{b^2-4\,a\,c}+160\,c^4\,d^5\,e\,{\left(b^2-4\,a\,c\right)}^{3/2}-288\,b\,c^2\,d^3\,e^3\,{\left(4\,a\,c-b^2\right)}^2+84\,b^2\,c\,d^2\,e^4\,{\left(4\,a\,c-b^2\right)}^2+40\,b^2\,c^3\,d^4\,e^2\,\left(4\,a\,c-b^2\right)-160\,b^3\,c^2\,d^3\,e^3\,\left(4\,a\,c-b^2\right)-64\,b^2\,c^2\,d^3\,e^3\,{\left(b^2-4\,a\,c\right)}^{3/2}+360\,b^3\,c^3\,d^4\,e^2\,\sqrt{b^2-4\,a\,c}-240\,b^4\,c^2\,d^3\,e^3\,\sqrt{b^2-4\,a\,c}+352\,c^3\,d^3\,e^3\,x\,{\left(4\,a\,c-b^2\right)}^2+128\,b\,c^4\,d^5\,e\,\left(4\,a\,c-b^2\right)-206\,b\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{5/2}-20\,c\,d\,e^5\,x\,{\left(4\,a\,c-b^2\right)}^3-320\,c^5\,d^5\,e\,x\,\left(4\,a\,c-b^2\right)+110\,b^4\,c\,d^2\,e^4\,\left(4\,a\,c-b^2\right)-168\,b\,c^3\,d^4\,e^2\,{\left(b^2-4\,a\,c\right)}^{3/2}-288\,b^2\,c^4\,d^5\,e\,\sqrt{b^2-4\,a\,c}+148\,b^3\,c\,d^2\,e^4\,{\left(b^2-4\,a\,c\right)}^{3/2}+90\,b^5\,c\,d^2\,e^4\,\sqrt{b^2-4\,a\,c}+116\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}+464\,c^4\,d^4\,e^2\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+264\,b^2\,c\,d\,e^5\,x\,{\left(4\,a\,c-b^2\right)}^2+800\,b\,c^4\,d^4\,e^2\,x\,\left(4\,a\,c-b^2\right)-928\,b\,c^3\,d^3\,e^3\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-116\,b\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{5/2}-528\,b\,c^2\,d^2\,e^4\,x\,{\left(4\,a\,c-b^2\right)}^2-800\,b^2\,c^3\,d^3\,e^3\,x\,\left(4\,a\,c-b^2\right)+400\,b^3\,c^2\,d^2\,e^4\,x\,\left(4\,a\,c-b^2\right)+696\,b^2\,c^2\,d^2\,e^4\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}+720\,b^2\,c^4\,d^4\,e^2\,x\,\sqrt{b^2-4\,a\,c}-480\,b^3\,c^3\,d^3\,e^3\,x\,\sqrt{b^2-4\,a\,c}+180\,b^4\,c^2\,d^2\,e^4\,x\,\sqrt{b^2-4\,a\,c}-100\,b^4\,c\,d\,e^5\,x\,\left(4\,a\,c-b^2\right)-576\,b\,c^5\,d^5\,e\,x\,\sqrt{b^2-4\,a\,c}-232\,b^3\,c\,d\,e^5\,x\,{\left(b^2-4\,a\,c\right)}^{3/2}-36\,b^5\,c\,d\,e^5\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(e^3\,\left(\frac{b^3\,c\,d\,n}{2}-\frac{3\,a\,b\,c^2\,d\,n}{2}+\frac{a\,c^2\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}-\frac{b^2\,c\,d\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)-e^4\,\left(\frac{b^4\,n}{8}-\frac{b^3\,n\,\sqrt{b^2-4\,a\,c}}{8}+\frac{a^2\,c^2\,n}{4}-\frac{a\,b^2\,c\,n}{2}+\frac{a\,b\,c\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)+e^2\,\left(\frac{3\,a\,c^3\,d^2\,n}{2}-\frac{3\,b^2\,c^2\,d^2\,n}{4}+\frac{3\,b\,c^2\,d^2\,n\,\sqrt{b^2-4\,a\,c}}{4}\right)+e\,\left(\frac{b\,c^3\,d^3\,n}{2}-\frac{c^3\,d^3\,n\,\sqrt{b^2-4\,a\,c}}{2}\right)-\frac{c^4\,d^4\,n}{4}\right)}{a^4\,e^9-4\,a^3\,b\,d\,e^8+4\,a^3\,c\,d^2\,e^7+6\,a^2\,b^2\,d^2\,e^7-12\,a^2\,b\,c\,d^3\,e^6+6\,a^2\,c^2\,d^4\,e^5-4\,a\,b^3\,d^3\,e^6+12\,a\,b^2\,c\,d^4\,e^5-12\,a\,b\,c^2\,d^5\,e^4+4\,a\,c^3\,d^6\,e^3+b^4\,d^4\,e^5-4\,b^3\,c\,d^5\,e^4+6\,b^2\,c^2\,d^6\,e^3-4\,b\,c^3\,d^7\,e^2+c^4\,d^8\,e}-\frac{\frac{2\,n\,a^2\,b\,e^5+2\,n\,a^2\,c\,d\,e^4-7\,n\,a\,b^2\,d\,e^4-6\,n\,a\,b\,c\,d^2\,e^3+28\,n\,a\,c^2\,d^3\,e^2+11\,n\,b^3\,d^2\,e^3-35\,n\,b^2\,c\,d^3\,e^2+40\,n\,b\,c^2\,d^4\,e-22\,n\,c^3\,d^5}{6\,\left(a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6\right)}-\frac{x\,\left(-2\,n\,a^2\,c\,e^5+n\,a\,b^2\,e^5+12\,n\,a\,b\,c\,d\,e^4-24\,n\,a\,c^2\,d^2\,e^3-5\,n\,b^3\,d\,e^4+15\,n\,b^2\,c\,d^2\,e^3-16\,n\,b\,c^2\,d^3\,e^2+10\,n\,c^3\,d^4\,e\right)}{2\,\left(a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6\right)}+\frac{n\,x^2\,\left(b^3\,e^5-3\,b^2\,c\,d\,e^4+3\,b\,c^2\,d^2\,e^3-3\,a\,b\,c\,e^5-2\,c^3\,d^3\,e^2+6\,a\,c^2\,d\,e^4\right)}{a^3\,e^6-3\,a^2\,b\,d\,e^5+3\,a^2\,c\,d^2\,e^4+3\,a\,b^2\,d^2\,e^4-6\,a\,b\,c\,d^3\,e^3+3\,a\,c^2\,d^4\,e^2-b^3\,d^3\,e^3+3\,b^2\,c\,d^4\,e^2-3\,b\,c^2\,d^5\,e+c^3\,d^6}}{4\,d^3\,e+12\,d^2\,e^2\,x+12\,d\,e^3\,x^2+4\,e^4\,x^3}","Not used",1,"(log(10*d*e^5*(b^2 - 4*a*c)^(7/2) + 3*e^6*x*(b^2 - 4*a*c)^(7/2) - 6*a*e^6*(4*a*c - b^2)^3 + 96*c^5*d^6*(4*a*c - b^2) - 10*b*e^6*x*(4*a*c - b^2)^3 - 10*b^5*e^6*x*(4*a*c - b^2) + 29*b^2*e^6*x*(b^2 - 4*a*c)^(5/2) + 29*b^4*e^6*x*(b^2 - 4*a*c)^(3/2) + 3*b^6*e^6*x*(b^2 - 4*a*c)^(1/2) + 192*c^6*d^6*x*(b^2 - 4*a*c)^(1/2) + 44*a*b^2*e^6*(4*a*c - b^2)^2 - 16*b^3*d*e^5*(4*a*c - b^2)^2 + 58*c*d^2*e^4*(4*a*c - b^2)^3 + 176*c^2*d^3*e^3*(b^2 - 4*a*c)^(5/2) + 44*b^3*e^6*x*(4*a*c - b^2)^2 + 14*a*b*e^6*(b^2 - 4*a*c)^(5/2) - 232*c^3*d^4*e^2*(4*a*c - b^2)^2 - 14*a*b^4*e^6*(4*a*c - b^2) + 44*a*b^3*e^6*(b^2 - 4*a*c)^(3/2) + 6*a*b^5*e^6*(b^2 - 4*a*c)^(1/2) + 96*b*c^5*d^6*(b^2 - 4*a*c)^(1/2) - 48*b*d*e^5*(4*a*c - b^2)^3 + 32*b^5*d*e^5*(4*a*c - b^2) + 74*b^2*d*e^5*(b^2 - 4*a*c)^(5/2) - 66*b^4*d*e^5*(b^2 - 4*a*c)^(3/2) - 18*b^6*d*e^5*(b^2 - 4*a*c)^(1/2) + 160*c^4*d^5*e*(b^2 - 4*a*c)^(3/2) + 288*b*c^2*d^3*e^3*(4*a*c - b^2)^2 - 84*b^2*c*d^2*e^4*(4*a*c - b^2)^2 - 40*b^2*c^3*d^4*e^2*(4*a*c - b^2) + 160*b^3*c^2*d^3*e^3*(4*a*c - b^2) - 64*b^2*c^2*d^3*e^3*(b^2 - 4*a*c)^(3/2) + 360*b^3*c^3*d^4*e^2*(b^2 - 4*a*c)^(1/2) - 240*b^4*c^2*d^3*e^3*(b^2 - 4*a*c)^(1/2) - 352*c^3*d^3*e^3*x*(4*a*c - b^2)^2 - 128*b*c^4*d^5*e*(4*a*c - b^2) - 206*b*c*d^2*e^4*(b^2 - 4*a*c)^(5/2) + 20*c*d*e^5*x*(4*a*c - b^2)^3 + 320*c^5*d^5*e*x*(4*a*c - b^2) - 110*b^4*c*d^2*e^4*(4*a*c - b^2) - 168*b*c^3*d^4*e^2*(b^2 - 4*a*c)^(3/2) - 288*b^2*c^4*d^5*e*(b^2 - 4*a*c)^(1/2) + 148*b^3*c*d^2*e^4*(b^2 - 4*a*c)^(3/2) + 90*b^5*c*d^2*e^4*(b^2 - 4*a*c)^(1/2) + 116*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(5/2) + 464*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(3/2) - 264*b^2*c*d*e^5*x*(4*a*c - b^2)^2 - 800*b*c^4*d^4*e^2*x*(4*a*c - b^2) - 928*b*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) - 116*b*c*d*e^5*x*(b^2 - 4*a*c)^(5/2) + 528*b*c^2*d^2*e^4*x*(4*a*c - b^2)^2 + 800*b^2*c^3*d^3*e^3*x*(4*a*c - b^2) - 400*b^3*c^2*d^2*e^4*x*(4*a*c - b^2) + 696*b^2*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(3/2) + 720*b^2*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) - 480*b^3*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) + 180*b^4*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(1/2) + 100*b^4*c*d*e^5*x*(4*a*c - b^2) - 576*b*c^5*d^5*e*x*(b^2 - 4*a*c)^(1/2) - 232*b^3*c*d*e^5*x*(b^2 - 4*a*c)^(3/2) - 36*b^5*c*d*e^5*x*(b^2 - 4*a*c)^(1/2))*(e^4*((b^4*n)/8 + (b^3*n*(b^2 - 4*a*c)^(1/2))/8 + (a^2*c^2*n)/4 - (a*b^2*c*n)/2 - (a*b*c*n*(b^2 - 4*a*c)^(1/2))/4) - e^3*((b^3*c*d*n)/2 - (3*a*b*c^2*d*n)/2 - (a*c^2*d*n*(b^2 - 4*a*c)^(1/2))/2 + (b^2*c*d*n*(b^2 - 4*a*c)^(1/2))/2) + e^2*((3*b^2*c^2*d^2*n)/4 - (3*a*c^3*d^2*n)/2 + (3*b*c^2*d^2*n*(b^2 - 4*a*c)^(1/2))/4) - e*((b*c^3*d^3*n)/2 + (c^3*d^3*n*(b^2 - 4*a*c)^(1/2))/2) + (c^4*d^4*n)/4))/(a^4*e^9 + c^4*d^8*e + b^4*d^4*e^5 - 4*a*b^3*d^3*e^6 + 4*a*c^3*d^6*e^3 + 4*a^3*c*d^2*e^7 - 4*b*c^3*d^7*e^2 - 4*b^3*c*d^5*e^4 + 6*a^2*b^2*d^2*e^7 + 6*a^2*c^2*d^4*e^5 + 6*b^2*c^2*d^6*e^3 - 4*a^3*b*d*e^8 - 12*a*b*c^2*d^5*e^4 + 12*a*b^2*c*d^4*e^5 - 12*a^2*b*c*d^3*e^6) - (log(d + e*x)*(e^2*(6*b^2*c^2*d^2*n - 12*a*c^3*d^2*n) - e^3*(4*b^3*c*d*n - 12*a*b*c^2*d*n) + e^4*(b^4*n + 2*a^2*c^2*n - 4*a*b^2*c*n) + 2*c^4*d^4*n - 4*b*c^3*d^3*e*n))/(4*a^4*e^9 + 4*c^4*d^8*e + 4*b^4*d^4*e^5 - 16*a*b^3*d^3*e^6 + 16*a*c^3*d^6*e^3 + 16*a^3*c*d^2*e^7 - 16*b*c^3*d^7*e^2 - 16*b^3*c*d^5*e^4 + 24*a^2*b^2*d^2*e^7 + 24*a^2*c^2*d^4*e^5 + 24*b^2*c^2*d^6*e^3 - 16*a^3*b*d*e^8 - 48*a*b*c^2*d^5*e^4 + 48*a*b^2*c*d^4*e^5 - 48*a^2*b*c*d^3*e^6) - log(d*(a + b*x + c*x^2)^n)/(4*e*(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)) - (log(10*d*e^5*(b^2 - 4*a*c)^(7/2) + 3*e^6*x*(b^2 - 4*a*c)^(7/2) + 6*a*e^6*(4*a*c - b^2)^3 - 96*c^5*d^6*(4*a*c - b^2) + 10*b*e^6*x*(4*a*c - b^2)^3 + 10*b^5*e^6*x*(4*a*c - b^2) + 29*b^2*e^6*x*(b^2 - 4*a*c)^(5/2) + 29*b^4*e^6*x*(b^2 - 4*a*c)^(3/2) + 3*b^6*e^6*x*(b^2 - 4*a*c)^(1/2) + 192*c^6*d^6*x*(b^2 - 4*a*c)^(1/2) - 44*a*b^2*e^6*(4*a*c - b^2)^2 + 16*b^3*d*e^5*(4*a*c - b^2)^2 - 58*c*d^2*e^4*(4*a*c - b^2)^3 + 176*c^2*d^3*e^3*(b^2 - 4*a*c)^(5/2) - 44*b^3*e^6*x*(4*a*c - b^2)^2 + 14*a*b*e^6*(b^2 - 4*a*c)^(5/2) + 232*c^3*d^4*e^2*(4*a*c - b^2)^2 + 14*a*b^4*e^6*(4*a*c - b^2) + 44*a*b^3*e^6*(b^2 - 4*a*c)^(3/2) + 6*a*b^5*e^6*(b^2 - 4*a*c)^(1/2) + 96*b*c^5*d^6*(b^2 - 4*a*c)^(1/2) + 48*b*d*e^5*(4*a*c - b^2)^3 - 32*b^5*d*e^5*(4*a*c - b^2) + 74*b^2*d*e^5*(b^2 - 4*a*c)^(5/2) - 66*b^4*d*e^5*(b^2 - 4*a*c)^(3/2) - 18*b^6*d*e^5*(b^2 - 4*a*c)^(1/2) + 160*c^4*d^5*e*(b^2 - 4*a*c)^(3/2) - 288*b*c^2*d^3*e^3*(4*a*c - b^2)^2 + 84*b^2*c*d^2*e^4*(4*a*c - b^2)^2 + 40*b^2*c^3*d^4*e^2*(4*a*c - b^2) - 160*b^3*c^2*d^3*e^3*(4*a*c - b^2) - 64*b^2*c^2*d^3*e^3*(b^2 - 4*a*c)^(3/2) + 360*b^3*c^3*d^4*e^2*(b^2 - 4*a*c)^(1/2) - 240*b^4*c^2*d^3*e^3*(b^2 - 4*a*c)^(1/2) + 352*c^3*d^3*e^3*x*(4*a*c - b^2)^2 + 128*b*c^4*d^5*e*(4*a*c - b^2) - 206*b*c*d^2*e^4*(b^2 - 4*a*c)^(5/2) - 20*c*d*e^5*x*(4*a*c - b^2)^3 - 320*c^5*d^5*e*x*(4*a*c - b^2) + 110*b^4*c*d^2*e^4*(4*a*c - b^2) - 168*b*c^3*d^4*e^2*(b^2 - 4*a*c)^(3/2) - 288*b^2*c^4*d^5*e*(b^2 - 4*a*c)^(1/2) + 148*b^3*c*d^2*e^4*(b^2 - 4*a*c)^(3/2) + 90*b^5*c*d^2*e^4*(b^2 - 4*a*c)^(1/2) + 116*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(5/2) + 464*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(3/2) + 264*b^2*c*d*e^5*x*(4*a*c - b^2)^2 + 800*b*c^4*d^4*e^2*x*(4*a*c - b^2) - 928*b*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(3/2) - 116*b*c*d*e^5*x*(b^2 - 4*a*c)^(5/2) - 528*b*c^2*d^2*e^4*x*(4*a*c - b^2)^2 - 800*b^2*c^3*d^3*e^3*x*(4*a*c - b^2) + 400*b^3*c^2*d^2*e^4*x*(4*a*c - b^2) + 696*b^2*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(3/2) + 720*b^2*c^4*d^4*e^2*x*(b^2 - 4*a*c)^(1/2) - 480*b^3*c^3*d^3*e^3*x*(b^2 - 4*a*c)^(1/2) + 180*b^4*c^2*d^2*e^4*x*(b^2 - 4*a*c)^(1/2) - 100*b^4*c*d*e^5*x*(4*a*c - b^2) - 576*b*c^5*d^5*e*x*(b^2 - 4*a*c)^(1/2) - 232*b^3*c*d*e^5*x*(b^2 - 4*a*c)^(3/2) - 36*b^5*c*d*e^5*x*(b^2 - 4*a*c)^(1/2))*(e^3*((b^3*c*d*n)/2 - (3*a*b*c^2*d*n)/2 + (a*c^2*d*n*(b^2 - 4*a*c)^(1/2))/2 - (b^2*c*d*n*(b^2 - 4*a*c)^(1/2))/2) - e^4*((b^4*n)/8 - (b^3*n*(b^2 - 4*a*c)^(1/2))/8 + (a^2*c^2*n)/4 - (a*b^2*c*n)/2 + (a*b*c*n*(b^2 - 4*a*c)^(1/2))/4) + e^2*((3*a*c^3*d^2*n)/2 - (3*b^2*c^2*d^2*n)/4 + (3*b*c^2*d^2*n*(b^2 - 4*a*c)^(1/2))/4) + e*((b*c^3*d^3*n)/2 - (c^3*d^3*n*(b^2 - 4*a*c)^(1/2))/2) - (c^4*d^4*n)/4))/(a^4*e^9 + c^4*d^8*e + b^4*d^4*e^5 - 4*a*b^3*d^3*e^6 + 4*a*c^3*d^6*e^3 + 4*a^3*c*d^2*e^7 - 4*b*c^3*d^7*e^2 - 4*b^3*c*d^5*e^4 + 6*a^2*b^2*d^2*e^7 + 6*a^2*c^2*d^4*e^5 + 6*b^2*c^2*d^6*e^3 - 4*a^3*b*d*e^8 - 12*a*b*c^2*d^5*e^4 + 12*a*b^2*c*d^4*e^5 - 12*a^2*b*c*d^3*e^6) - ((11*b^3*d^2*e^3*n - 22*c^3*d^5*n + 2*a^2*b*e^5*n - 7*a*b^2*d*e^4*n + 2*a^2*c*d*e^4*n + 40*b*c^2*d^4*e*n + 28*a*c^2*d^3*e^2*n - 35*b^2*c*d^3*e^2*n - 6*a*b*c*d^2*e^3*n)/(6*(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3)) - (x*(a*b^2*e^5*n - 2*a^2*c*e^5*n - 5*b^3*d*e^4*n + 10*c^3*d^4*e*n - 24*a*c^2*d^2*e^3*n - 16*b*c^2*d^3*e^2*n + 15*b^2*c*d^2*e^3*n + 12*a*b*c*d*e^4*n))/(2*(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3)) + (n*x^2*(b^3*e^5 - 2*c^3*d^3*e^2 + 3*b*c^2*d^2*e^3 - 3*a*b*c*e^5 + 6*a*c^2*d*e^4 - 3*b^2*c*d*e^4))/(a^3*e^6 + c^3*d^6 - b^3*d^3*e^3 + 3*a*b^2*d^2*e^4 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4 + 3*b^2*c*d^4*e^2 - 3*a^2*b*d*e^5 - 3*b*c^2*d^5*e - 6*a*b*c*d^3*e^3))/(4*d^3*e + 4*e^4*x^3 + 12*d^2*e^2*x + 12*d*e^3*x^2)","B"
92,0,-1,175,0.000000,"\text{Not used}","int(log(d*(a + c*x^2)^n)/(a*e + c*e*x^2),x)","\int \frac{\ln\left(d\,{\left(c\,x^2+a\right)}^n\right)}{c\,e\,x^2+a\,e} \,d x","Not used",1,"int(log(d*(a + c*x^2)^n)/(a*e + c*e*x^2), x)","F"
93,0,-1,258,0.000000,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)/(a*e + b*e*x + c*e*x^2),x)","\int \frac{\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{c\,e\,x^2+b\,e\,x+a\,e} \,d x","Not used",1,"int(log(d*(a + b*x + c*x^2)^n)/(a*e + b*e*x + c*e*x^2), x)","F"
94,0,-1,762,0.000000,"\text{Not used}","int(log(g*(a + b*x + c*x^2)^n)/(d + e*x^2),x)","\int \frac{\ln\left(g\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{e\,x^2+d} \,d x","Not used",1,"int(log(g*(a + b*x + c*x^2)^n)/(d + e*x^2), x)","F"
95,0,-1,782,0.000000,"\text{Not used}","int(log(g*(a + b*x + c*x^2)^n)/(d + e*x + f*x^2),x)","\int \frac{\ln\left(g\,{\left(c\,x^2+b\,x+a\right)}^n\right)}{f\,x^2+e\,x+d} \,d x","Not used",1,"int(log(g*(a + b*x + c*x^2)^n)/(d + e*x + f*x^2), x)","F"
96,0,-1,144,0.000000,"\text{Not used}","int(log(d*(b*x + c*x^2)^n)^2,x)","\int {\ln\left(d\,{\left(c\,x^2+b\,x\right)}^n\right)}^2 \,d x","Not used",1,"int(log(d*(b*x + c*x^2)^n)^2, x)","F"
97,0,-1,587,0.000000,"\text{Not used}","int(log(d*(a + b*x + c*x^2)^n)^2,x)","\int {\ln\left(d\,{\left(c\,x^2+b\,x+a\right)}^n\right)}^2 \,d x","Not used",1,"int(log(d*(a + b*x + c*x^2)^n)^2, x)","F"
98,0,-1,311,0.000000,"\text{Not used}","int((x^2*log(x + x^2 + 1))/(3*x + x^2 + 2),x)","\int \frac{x^2\,\ln\left(x^2+x+1\right)}{x^2+3\,x+2} \,d x","Not used",1,"int((x^2*log(x + x^2 + 1))/(3*x + x^2 + 2), x)","F"
99,0,-1,371,0.000000,"\text{Not used}","int(log(x + x^2 + 1)^2,x)","\int {\ln\left(x^2+x+1\right)}^2 \,d x","Not used",1,"int(log(x + x^2 + 1)^2, x)","F"
100,0,-1,443,0.000000,"\text{Not used}","int(log(x + x^2 - 1)^2/x^3,x)","\int \frac{{\ln\left(x^2+x-1\right)}^2}{x^3} \,d x","Not used",1,"int(log(x + x^2 - 1)^2/x^3, x)","F"
101,0,-1,172,0.000000,"\text{Not used}","int(x^3*log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int x^3\,\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(x^3*log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
102,0,-1,149,0.000000,"\text{Not used}","int(x^2*log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int x^2\,\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(x^2*log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
103,0,-1,127,0.000000,"\text{Not used}","int(x*log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int x\,\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(x*log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
104,0,-1,95,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int \ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
105,0,-1,26,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x,x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{x} \,d x","Not used",0,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x, x)","F"
106,0,-1,76,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^2,x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{x^2} \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^2, x)","F"
107,0,-1,101,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^3,x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{x^3} \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^3, x)","F"
108,0,-1,187,0.000000,"\text{Not used}","int(x^(3/2)*log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int x^{3/2}\,\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(x^(3/2)*log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
109,0,-1,158,0.000000,"\text{Not used}","int(x^(1/2)*log(4*x + 4*(x*(x - 1))^(1/2) - 1),x)","\int \sqrt{x}\,\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right) \,d x","Not used",1,"int(x^(1/2)*log(4*x + 4*(x*(x - 1))^(1/2) - 1), x)","F"
110,0,-1,118,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(1/2),x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{\sqrt{x}} \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(1/2), x)","F"
111,0,-1,114,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(3/2),x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{x^{3/2}} \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(3/2), x)","F"
112,0,-1,151,0.000000,"\text{Not used}","int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(5/2),x)","\int \frac{\ln\left(4\,x+4\,\sqrt{x\,\left(x-1\right)}-1\right)}{x^{5/2}} \,d x","Not used",1,"int(log(4*x + 4*(x*(x - 1))^(1/2) - 1)/x^(5/2), x)","F"
113,0,-1,93,0.000000,"\text{Not used}","int(x^3*log(a + b*exp(x)),x)","\int x^3\,\ln\left(a+b\,{\mathrm{e}}^x\right) \,d x","Not used",1,"int(x^3*log(a + b*exp(x)), x)","F"
114,0,-1,77,0.000000,"\text{Not used}","int(x^2*log(a + b*exp(x)),x)","\int x^2\,\ln\left(a+b\,{\mathrm{e}}^x\right) \,d x","Not used",1,"int(x^2*log(a + b*exp(x)), x)","F"
115,0,-1,59,0.000000,"\text{Not used}","int(x*log(a + b*exp(x)),x)","\int x\,\ln\left(a+b\,{\mathrm{e}}^x\right) \,d x","Not used",1,"int(x*log(a + b*exp(x)), x)","F"
116,1,35,38,0.381419,"\text{Not used}","int(log(a + b*exp(x)),x)","x\,\ln\left(a+b\,{\mathrm{e}}^x\right)-x\,\ln\left(\frac{b\,{\mathrm{e}}^x}{a}+1\right)-\mathrm{polylog}\left(2,-\frac{b\,{\mathrm{e}}^x}{a}\right)","Not used",1,"x*log(a + b*exp(x)) - x*log((b*exp(x))/a + 1) - polylog(2, -(b*exp(x))/a)","B"
117,0,-1,15,0.000000,"\text{Not used}","int(log(a + b*exp(x))/x,x)","\int \frac{\ln\left(a+b\,{\mathrm{e}}^x\right)}{x} \,d x","Not used",0,"int(log(a + b*exp(x))/x, x)","F"
118,0,-1,132,0.000000,"\text{Not used}","int(x^3*log(e*(f^(c*(a + b*x)))^n + 1),x)","\int x^3\,\ln\left(e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n+1\right) \,d x","Not used",1,"int(x^3*log(e*(f^(c*(a + b*x)))^n + 1), x)","F"
119,0,-1,98,0.000000,"\text{Not used}","int(x^2*log(e*(f^(c*(a + b*x)))^n + 1),x)","\int x^2\,\ln\left(e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n+1\right) \,d x","Not used",1,"int(x^2*log(e*(f^(c*(a + b*x)))^n + 1), x)","F"
120,0,-1,63,0.000000,"\text{Not used}","int(x*log(e*(f^(c*(a + b*x)))^n + 1),x)","\int x\,\ln\left(e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n+1\right) \,d x","Not used",1,"int(x*log(e*(f^(c*(a + b*x)))^n + 1), x)","F"
121,0,-1,31,0.000000,"\text{Not used}","int(log(e*(f^(c*(a + b*x)))^n + 1),x)","\int \ln\left(e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n+1\right) \,d x","Not used",1,"int(log(e*(f^(c*(a + b*x)))^n + 1), x)","F"
122,0,-1,23,0.000000,"\text{Not used}","int(log(e*(f^(c*(a + b*x)))^n + 1)/x,x)","\int \frac{\ln\left(e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n+1\right)}{x} \,d x","Not used",0,"int(log(e*(f^(c*(a + b*x)))^n + 1)/x, x)","F"
123,0,-1,193,0.000000,"\text{Not used}","int(x^3*log(d + e*(f^(c*(a + b*x)))^n),x)","\int x^3\,\ln\left(d+e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n\right) \,d x","Not used",1,"int(x^3*log(d + e*(f^(c*(a + b*x)))^n), x)","F"
124,0,-1,156,0.000000,"\text{Not used}","int(x^2*log(d + e*(f^(c*(a + b*x)))^n),x)","\int x^2\,\ln\left(d+e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n\right) \,d x","Not used",1,"int(x^2*log(d + e*(f^(c*(a + b*x)))^n), x)","F"
125,0,-1,118,0.000000,"\text{Not used}","int(x*log(d + e*(f^(c*(a + b*x)))^n),x)","\int x\,\ln\left(d+e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n\right) \,d x","Not used",1,"int(x*log(d + e*(f^(c*(a + b*x)))^n), x)","F"
126,0,-1,75,0.000000,"\text{Not used}","int(log(d + e*(f^(c*(a + b*x)))^n),x)","\int \ln\left(d+e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n\right) \,d x","Not used",1,"int(log(d + e*(f^(c*(a + b*x)))^n), x)","F"
127,0,-1,23,0.000000,"\text{Not used}","int(log(d + e*(f^(c*(a + b*x)))^n)/x,x)","\int \frac{\ln\left(d+e\,{\left(f^{c\,\left(a+b\,x\right)}\right)}^n\right)}{x} \,d x","Not used",0,"int(log(d + e*(f^(c*(a + b*x)))^n)/x, x)","F"
128,0,-1,39,0.000000,"\text{Not used}","int(log(Pi + b*(F^(e*(c + d*x)))^n),x)","\int \ln\left(\Pi +b\,{\left(F^{e\,\left(c+d\,x\right)}\right)}^n\right) \,d x","Not used",1,"int(log(Pi + b*(F^(e*(c + d*x)))^n), x)","F"
129,1,5,5,0.419802,"\text{Not used}","int(1/(x*(log(x) + 3)),x)","\ln\left(\ln\left(x\right)+3\right)","Not used",1,"log(log(x) + 3)","B"
130,1,13,12,0.385783,"\text{Not used}","int((log(x) + 1)^(1/2)/x,x)","\sqrt{\ln\left(x\right)+1}\,\left(\frac{2\,\ln\left(x\right)}{3}+\frac{2}{3}\right)","Not used",1,"(log(x) + 1)^(1/2)*((2*log(x))/3 + 2/3)","B"
131,1,26,10,0.389739,"\text{Not used}","int((log(x) + 1)^5/x,x)","\frac{\ln\left(x\right)\,\left(\ln\left(x\right)+2\right)\,\left({\ln\left(x\right)}^2+\ln\left(x\right)+1\right)\,\left({\ln\left(x\right)}^2+3\,\ln\left(x\right)+3\right)}{6}","Not used",1,"(log(x)*(log(x) + 2)*(log(x) + log(x)^2 + 1)*(3*log(x) + log(x)^2 + 3))/6","B"
132,1,6,8,0.071238,"\text{Not used}","int(1/(x*log(x)^(1/2)),x)","2\,\sqrt{\ln\left(x\right)}","Not used",1,"2*log(x)^(1/2)","B"
133,1,3,3,0.525218,"\text{Not used}","int(1/(x*(log(x)^2 + 1)),x)","\mathrm{atan}\left(\ln\left(x\right)\right)","Not used",1,"atan(log(x))","B"
134,1,12,14,0.467476,"\text{Not used}","int(1/(x*(log(x)^2 - 3)^(1/2)),x)","\ln\left(\ln\left(x\right)+\sqrt{{\ln\left(x\right)}^2-3}\right)","Not used",1,"log(log(x) + (log(x)^2 - 3)^(1/2))","B"
135,1,7,11,0.398925,"\text{Not used}","int(1/(x*(4 - 9*log(x)^2)^(1/2)),x)","\frac{\mathrm{asin}\left(\frac{3\,\ln\left(x\right)}{2}\right)}{3}","Not used",1,"asin((3*log(x))/2)/3","B"
136,1,5,7,0.393205,"\text{Not used}","int(1/(x*(log(x)^2 + 4)^(1/2)),x)","\mathrm{asinh}\left(\frac{\ln\left(x\right)}{2}\right)","Not used",1,"asinh(log(x)/2)","B"
137,1,120,111,4.694108,"\text{Not used}","int(1/(x*(3*log(6*x)^3 + 2)),x)","\frac{2^{1/3}\,3^{2/3}\,\ln\left(\frac{\ln\left(6\,x\right)}{x^2}+\frac{2^{1/3}\,3^{2/3}}{3\,x^2}\right)}{18}+\frac{2^{1/3}\,3^{2/3}\,\ln\left(\frac{\ln\left(6\,x\right)}{x^2}+\frac{2^{1/3}\,3^{2/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,x^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18}-\frac{2^{1/3}\,3^{2/3}\,\ln\left(\frac{\ln\left(6\,x\right)}{x^2}-\frac{2^{1/3}\,3^{2/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,x^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{18}","Not used",1,"(2^(1/3)*3^(2/3)*log(log(6*x)/x^2 + (2^(1/3)*3^(2/3))/(3*x^2)))/18 + (2^(1/3)*3^(2/3)*log(log(6*x)/x^2 + (2^(1/3)*3^(2/3)*((3^(1/2)*1i)/2 - 1/2))/(3*x^2))*((3^(1/2)*1i)/2 - 1/2))/18 - (2^(1/3)*3^(2/3)*log(log(6*x)/x^2 - (2^(1/3)*3^(2/3)*((3^(1/2)*1i)/2 + 1/2))/(3*x^2))*((3^(1/2)*1i)/2 + 1/2))/18","B"
138,1,9,11,0.520979,"\text{Not used}","int(log(log(6*x))/(x*log(6*x)),x)","\frac{{\ln\left(\ln\left(6\,x\right)\right)}^2}{2}","Not used",1,"log(log(6*x))^2/2","B"
139,1,9,9,0.402721,"\text{Not used}","int(2^log(x)/x,x)","\frac{x^{\ln\left(2\right)}}{\ln\left(2\right)}","Not used",1,"x^log(2)/log(2)","B"
140,1,12,17,0.375845,"\text{Not used}","int(sin(log(x))^2/x,x)","\frac{\ln\left(x\right)}{2}-\frac{\sin\left(2\,\ln\left(x\right)\right)}{4}","Not used",1,"log(x)/2 - sin(2*log(x))/4","B"
141,1,12,12,0.374509,"\text{Not used}","int(-(log(x) - 7)/(x*(log(x) + 3)),x)","10\,\ln\left(\ln\left(x\right)+3\right)-\ln\left(x\right)","Not used",1,"10*log(log(x) + 3) - log(x)","B"
142,1,22,21,0.369520,"\text{Not used}","int(-((log(x) - 2)*(log(x) + 3)^2)/x,x)","\frac{\ln\left(x\right)\,\left(-3\,{\ln\left(x\right)}^3-16\,{\ln\left(x\right)}^2+18\,\ln\left(x\right)+216\right)}{12}","Not used",1,"(log(x)*(18*log(x) - 16*log(x)^2 - 3*log(x)^3 + 216))/12","B"
143,1,26,42,0.395138,"\text{Not used}","int((log(x)^2*(log(x)^2 + 1)^(1/2))/x,x)","\left(\frac{{\ln\left(x\right)}^3}{4}+\frac{\ln\left(x\right)}{8}\right)\,\sqrt{{\ln\left(x\right)}^2+1}-\frac{\mathrm{asinh}\left(\ln\left(x\right)\right)}{8}","Not used",1,"(log(x)/8 + log(x)^3/4)*(log(x)^2 + 1)^(1/2) - asinh(log(x))/8","B"
144,1,18,24,0.412158,"\text{Not used}","int((log(x) + 1)/(x*(2*log(x) + 3)^2),x)","\frac{\ln\left(2\,\ln\left(x\right)+3\right)}{4}+\frac{1}{4\,\left(2\,\ln\left(x\right)+3\right)}","Not used",1,"log(2*log(x) + 3)/4 + 1/(4*(2*log(x) + 3))","B"
145,1,13,23,0.427547,"\text{Not used}","int(log(x)/(x*(log(x) + 1)^(1/2)),x)","\sqrt{\ln\left(x\right)+1}\,\left(\frac{2\,\ln\left(x\right)}{3}-\frac{4}{3}\right)","Not used",1,"(log(x) + 1)^(1/2)*((2*log(x))/3 - 4/3)","B"
146,1,15,29,0.439330,"\text{Not used}","int(log(x)/(x*(4*log(x) - 1)^(1/2)),x)","\sqrt{4\,\ln\left(x\right)-1}\,\left(\frac{\ln\left(x\right)}{6}+\frac{1}{12}\right)","Not used",1,"(4*log(x) - 1)^(1/2)*(log(x)/6 + 1/12)","B"
147,1,18,22,0.406832,"\text{Not used}","int((log(x) + 1)^(1/2)/(x*log(x)),x)","2\,\sqrt{\ln\left(x\right)+1}-2\,\mathrm{atanh}\left(\sqrt{\ln\left(x\right)+1}\right)","Not used",1,"2*(log(x) + 1)^(1/2) - 2*atanh((log(x) + 1)^(1/2))","B"
148,1,18,27,0.424012,"\text{Not used}","int((log(x)^2 - 4*log(x) + 1)/(x*(log(x) - 1)^4),x)","-\frac{{\ln\left(x\right)}^2-3\,\ln\left(x\right)+\frac{4}{3}}{{\left(\ln\left(x\right)-1\right)}^3}","Not used",1,"-(log(x)^2 - 3*log(x) + 4/3)/(log(x) - 1)^3","B"
149,1,27,27,0.401036,"\text{Not used}","int((log(a*x^n)^2)^p/x,x)","\frac{\ln\left(a\,x^n\right)\,{\left({\ln\left(a\,x^n\right)}^2\right)}^p}{n\,\left(2\,p+1\right)}","Not used",1,"(log(a*x^n)*(log(a*x^n)^2)^p)/(n*(2*p + 1))","B"
150,1,27,27,0.383824,"\text{Not used}","int((log(a*x^n)^m)^p/x,x)","\frac{\ln\left(a\,x^n\right)\,{\left({\ln\left(a\,x^n\right)}^m\right)}^p}{n\,\left(m\,p+1\right)}","Not used",1,"(log(a*x^n)*(log(a*x^n)^m)^p)/(n*(m*p + 1))","B"
151,1,21,25,0.403664,"\text{Not used}","int((log(a*x^n)^2)^(1/2)/x,x)","\frac{\ln\left(a\,x^n\right)\,\sqrt{{\ln\left(a\,x^n\right)}^2}}{2\,n}","Not used",1,"(log(a*x^n)*(log(a*x^n)^2)^(1/2))/(2*n)","B"
152,1,29,29,0.357471,"\text{Not used}","int((b*log(a*x^n)^m)^p/x,x)","\frac{\ln\left(a\,x^n\right)\,{\left(b\,{\ln\left(a\,x^n\right)}^m\right)}^p}{n\,\left(m\,p+1\right)}","Not used",1,"(log(a*x^n)*(b*log(a*x^n)^m)^p)/(n*(m*p + 1))","B"
153,1,5,31,0.363148,"\text{Not used}","int(1/(x*log(exp(x))),x)","-\frac{1}{x}","Not used",1,"-1/x","B"
154,0,-1,35,0.000000,"\text{Not used}","int(sin(a + b*x)*log(x),x)","\int \sin\left(a+b\,x\right)\,\ln\left(x\right) \,d x","Not used",1,"int(sin(a + b*x)*log(x), x)","F"
155,0,-1,66,0.000000,"\text{Not used}","int(sin(a + b*x)^2*log(x),x)","\int {\sin\left(a+b\,x\right)}^2\,\ln\left(x\right) \,d x","Not used",1,"int(sin(a + b*x)^2*log(x), x)","F"
156,0,-1,89,0.000000,"\text{Not used}","int(sin(a + b*x)^3*log(x),x)","\int {\sin\left(a+b\,x\right)}^3\,\ln\left(x\right) \,d x","Not used",1,"int(sin(a + b*x)^3*log(x), x)","F"
157,0,-1,35,0.000000,"\text{Not used}","int(cos(a + b*x)*log(x),x)","\int \cos\left(a+b\,x\right)\,\ln\left(x\right) \,d x","Not used",1,"int(cos(a + b*x)*log(x), x)","F"
158,0,-1,66,0.000000,"\text{Not used}","int(cos(a + b*x)^2*log(x),x)","\int {\cos\left(a+b\,x\right)}^2\,\ln\left(x\right) \,d x","Not used",1,"int(cos(a + b*x)^2*log(x), x)","F"
159,0,-1,88,0.000000,"\text{Not used}","int(cos(a + b*x)^3*log(x),x)","\int {\cos\left(a+b\,x\right)}^3\,\ln\left(x\right) \,d x","Not used",1,"int(cos(a + b*x)^3*log(x), x)","F"
160,1,5,5,0.496183,"\text{Not used}","int(cos(x)*log(x) + sin(x)/x,x)","\ln\left(x\right)\,\sin\left(x\right)","Not used",1,"log(x)*sin(x)","B"
161,0,-1,47,0.000000,"\text{Not used}","int(log(a*sin(x)),x)","\int \ln\left(a\,\sin\left(x\right)\right) \,d x","Not used",1,"int(log(a*sin(x)), x)","F"
162,0,-1,45,0.000000,"\text{Not used}","int(log(a*sin(x)^2),x)","\int \ln\left(a\,{\sin\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*sin(x)^2), x)","F"
163,0,-1,52,0.000000,"\text{Not used}","int(log(a*sin(x)^n),x)","\int \ln\left(a\,{\sin\left(x\right)}^n\right) \,d x","Not used",1,"int(log(a*sin(x)^n), x)","F"
164,1,37,47,0.389779,"\text{Not used}","int(log(a*cos(x)),x)","x\,\ln\left(a\,\cos\left(x\right)\right)+\frac{\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\frac{x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(polylog(2, -exp(x*2i))*1i)/2 + (x*(x + log(exp(x*2i) + 1)*2i)*1i)/2 + x*log(a*cos(x))","B"
165,1,39,45,0.080728,"\text{Not used}","int(log(a*cos(x)^2),x)","x\,\ln\left(a\,{\cos\left(x\right)}^2\right)+\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}+x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"polylog(2, -exp(x*2i))*1i + x*(x + log(exp(x*2i) + 1)*2i)*1i + x*log(a*cos(x)^2)","B"
166,1,41,52,0.369188,"\text{Not used}","int(log(a*cos(x)^n),x)","x\,\ln\left(a\,{\cos\left(x\right)}^n\right)+\frac{n\,\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\frac{n\,x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"x*log(a*cos(x)^n) + (n*polylog(2, -exp(x*2i))*1i)/2 + (n*x*(x + log(exp(x*2i) + 1)*2i)*1i)/2","B"
167,1,39,51,0.094009,"\text{Not used}","int(log(a*tan(x)),x)","2\,x\,\mathrm{atanh}\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\right)+x\,\ln\left(a\,\mathrm{tan}\left(x\right)\right)-\frac{\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\frac{\mathrm{polylog}\left(2,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}","Not used",1,"2*x*atanh(exp(x*2i)) - (polylog(2, -exp(x*2i))*1i)/2 + (polylog(2, exp(x*2i))*1i)/2 + x*log(a*tan(x))","B"
168,1,41,49,0.057174,"\text{Not used}","int(log(a*tan(x)^2),x)","x\,\ln\left(a\,{\mathrm{tan}\left(x\right)}^2\right)-\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}+4\,x\,\mathrm{atanh}\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\right)+\mathrm{polylog}\left(2,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}","Not used",1,"x*log(a*tan(x)^2) - polylog(2, -exp(x*2i))*1i + 4*x*atanh(exp(x*2i)) + polylog(2, exp(x*2i))*1i","B"
169,1,44,56,0.067254,"\text{Not used}","int(log(a*tan(x)^n),x)","\frac{n\,\mathrm{polylog}\left(2,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+x\,\ln\left(a\,{\mathrm{tan}\left(x\right)}^n\right)-\frac{n\,\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+2\,n\,x\,\mathrm{atanh}\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\right)","Not used",1,"(n*polylog(2, exp(x*2i))*1i)/2 + x*log(a*tan(x)^n) - (n*polylog(2, -exp(x*2i))*1i)/2 + 2*n*x*atanh(exp(x*2i))","B"
170,0,-1,51,0.000000,"\text{Not used}","int(log(a*cot(x)),x)","\int \ln\left(a\,\mathrm{cot}\left(x\right)\right) \,d x","Not used",1,"int(log(a*cot(x)), x)","F"
171,0,-1,49,0.000000,"\text{Not used}","int(log(a*cot(x)^2),x)","\int \ln\left(a\,{\mathrm{cot}\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*cot(x)^2), x)","F"
172,1,44,56,0.067466,"\text{Not used}","int(log(a*cot(x)^n),x)","x\,\ln\left(a\,{\mathrm{cot}\left(x\right)}^n\right)-\frac{n\,\mathrm{polylog}\left(2,{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}+\frac{n\,\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}-2\,n\,x\,\mathrm{atanh}\left({\mathrm{e}}^{x\,2{}\mathrm{i}}\right)","Not used",1,"x*log(a*cot(x)^n) - (n*polylog(2, exp(x*2i))*1i)/2 + (n*polylog(2, -exp(x*2i))*1i)/2 - 2*n*x*atanh(exp(x*2i))","B"
173,1,39,46,0.088887,"\text{Not used}","int(log(a/cos(x)),x)","x\,\ln\left(\frac{a}{\cos\left(x\right)}\right)-\frac{\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}-\frac{x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"x*log(a/cos(x)) - (x*(x + log(exp(x*2i) + 1)*2i)*1i)/2 - (polylog(2, -exp(x*2i))*1i)/2","B"
174,1,39,45,0.380754,"\text{Not used}","int(log(a/cos(x)^2),x)","x\,\ln\left(\frac{a}{{\cos\left(x\right)}^2}\right)-\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}-x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"x*log(a/cos(x)^2) - x*(x + log(exp(x*2i) + 1)*2i)*1i - polylog(2, -exp(x*2i))*1i","B"
175,1,43,51,0.383374,"\text{Not used}","int(log(a*(1/cos(x))^n),x)","x\,\ln\left(a\,{\left(\frac{1}{\cos\left(x\right)}\right)}^n\right)-\frac{n\,\mathrm{polylog}\left(2,-{\mathrm{e}}^{x\,2{}\mathrm{i}}\right)\,1{}\mathrm{i}}{2}-\frac{n\,x\,\left(x+\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}+1\right)\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"x*log(a*(1/cos(x))^n) - (n*polylog(2, -exp(x*2i))*1i)/2 - (n*x*(x + log(exp(x*2i) + 1)*2i)*1i)/2","B"
176,0,-1,46,0.000000,"\text{Not used}","int(log(a/sin(x)),x)","\int \ln\left(\frac{a}{\sin\left(x\right)}\right) \,d x","Not used",1,"int(log(a/sin(x)), x)","F"
177,0,-1,45,0.000000,"\text{Not used}","int(log(a/sin(x)^2),x)","\int \ln\left(\frac{a}{{\sin\left(x\right)}^2}\right) \,d x","Not used",1,"int(log(a/sin(x)^2), x)","F"
178,0,-1,51,0.000000,"\text{Not used}","int(log(a*(1/sin(x))^n),x)","\int \ln\left(a\,{\left(\frac{1}{\sin\left(x\right)}\right)}^n\right) \,d x","Not used",1,"int(log(a*(1/sin(x))^n), x)","F"
179,0,-1,21,0.000000,"\text{Not used}","int(log(1/2 - cos(2*x)/2)*cos(x),x)","\int \ln\left(\frac{1}{2}-\frac{\cos\left(2\,x\right)}{2}\right)\,\cos\left(x\right) \,d x","Not used",1,"int(log(1/2 - cos(2*x)/2)*cos(x), x)","F"
180,1,6,6,0.500743,"\text{Not used}","int(cot(x)/log(exp(1)*sin(x)),x)","\ln\left(\ln\left(\sin\left(x\right)\right)+1\right)","Not used",1,"log(log(sin(x)) + 1)","B"
181,1,6,37,0.367150,"\text{Not used}","int(cot(x)/log(exp(sin(x))),x)","-\frac{1}{\sin\left(x\right)}","Not used",1,"-1/sin(x)","B"
182,1,35,12,0.578637,"\text{Not used}","int(log(cos(x))/cos(x)^2,x)","\mathrm{tan}\left(x\right)-2\,x+\ln\left(\cos\left(x\right)\right)\,\mathrm{tan}\left(x\right)+\ln\left(\cos\left(x\right)\right)\,1{}\mathrm{i}-\ln\left(\cos\left(2\,x\right)+1+\sin\left(2\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"log(cos(x))*1i - 2*x - log(cos(2*x) + sin(2*x)*1i + 1)*1i + tan(x) + log(cos(x))*tan(x)","B"
183,1,7,9,0.380696,"\text{Not used}","int(log(sin(x))*cot(x),x)","\frac{{\ln\left(\sin\left(x\right)\right)}^2}{2}","Not used",1,"log(sin(x))^2/2","B"
184,1,11,20,0.429622,"\text{Not used}","int(log(sin(x))*cos(x)*sin(x)^2,x)","\frac{{\sin\left(x\right)}^3\,\left(\ln\left(\sin\left(x\right)\right)-\frac{1}{3}\right)}{3}","Not used",1,"(sin(x)^3*(log(sin(x)) - 1/3))/3","B"
185,1,29,50,0.520990,"\text{Not used}","int(log(cos(a/2 + (b*x)/2)*sin(a/2 + (b*x)/2))*cos(a + b*x),x)","-\frac{\sin\left(a+b\,x\right)-\ln\left(\frac{\sin\left(a+b\,x\right)}{2}\right)\,\sin\left(a+b\,x\right)}{b}","Not used",1,"-(sin(a + b*x) - log(sin(a + b*x)/2)*sin(a + b*x))/b","B"
186,1,6,6,0.399468,"\text{Not used}","int(tan(x)/log(cos(x)),x)","-\ln\left(\ln\left(\cos\left(x\right)\right)\right)","Not used",1,"-log(log(cos(x)))","B"
187,1,7,9,0.432597,"\text{Not used}","int(log(cos(x))*tan(x),x)","-\frac{{\ln\left(\cos\left(x\right)\right)}^2}{2}","Not used",1,"-log(cos(x))^2/2","B"
188,1,9,10,0.379398,"\text{Not used}","int(log(cos(x))*sin(x),x)","-\cos\left(x\right)\,\left(\ln\left(\cos\left(x\right)\right)-1\right)","Not used",1,"-cos(x)*(log(cos(x)) - 1)","B"
189,0,-1,14,0.000000,"\text{Not used}","int(log(cos(x))*cos(x),x)","\int \ln\left(\cos\left(x\right)\right)\,\cos\left(x\right) \,d x","Not used",1,"int(log(cos(x))*cos(x), x)","F"
190,1,8,11,0.414521,"\text{Not used}","int(log(sin(x))*cos(x),x)","\sin\left(x\right)\,\left(\ln\left(\sin\left(x\right)\right)-1\right)","Not used",1,"sin(x)*(log(sin(x)) - 1)","B"
191,0,-1,74,0.000000,"\text{Not used}","int(log(sin(x))*sin(x)^2,x)","\int \ln\left(\sin\left(x\right)\right)\,{\sin\left(x\right)}^2 \,d x","Not used",1,"int(log(sin(x))*sin(x)^2, x)","F"
192,0,-1,40,0.000000,"\text{Not used}","int(log(sin(x))*sin(x)^3,x)","\int \ln\left(\sin\left(x\right)\right)\,{\sin\left(x\right)}^3 \,d x","Not used",1,"int(log(sin(x))*sin(x)^3, x)","F"
193,0,-1,79,0.000000,"\text{Not used}","int(log(sin(x^(1/2))),x)","\int \ln\left(\sin\left(\sqrt{x}\right)\right) \,d x","Not used",1,"int(log(sin(x^(1/2))), x)","F"
194,1,57,15,0.576373,"\text{Not used}","int(log(sin(x))/sin(x)^2,x)","-2\,x-\ln\left({\mathrm{e}}^{x\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}-\frac{\ln\left(\frac{{\mathrm{e}}^{-x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)\,2{}\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}-1}-\frac{2{}\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}-1}","Not used",1,"- 2*x - log(exp(x*2i) - 1)*1i - (log((exp(-x*1i)*1i)/2 - (exp(x*1i)*1i)/2)*2i)/(exp(x*2i) - 1) - 2i/(exp(x*2i) - 1)","B"
195,0,-1,35,0.000000,"\text{Not used}","int(sinh(a + b*x)*log(x),x)","\int \mathrm{sinh}\left(a+b\,x\right)\,\ln\left(x\right) \,d x","Not used",1,"int(sinh(a + b*x)*log(x), x)","F"
196,0,-1,66,0.000000,"\text{Not used}","int(sinh(a + b*x)^2*log(x),x)","\int {\mathrm{sinh}\left(a+b\,x\right)}^2\,\ln\left(x\right) \,d x","Not used",1,"int(sinh(a + b*x)^2*log(x), x)","F"
197,0,-1,89,0.000000,"\text{Not used}","int(sinh(a + b*x)^3*log(x),x)","\int {\mathrm{sinh}\left(a+b\,x\right)}^3\,\ln\left(x\right) \,d x","Not used",1,"int(sinh(a + b*x)^3*log(x), x)","F"
198,0,-1,35,0.000000,"\text{Not used}","int(cosh(a + b*x)*log(x),x)","\int \mathrm{cosh}\left(a+b\,x\right)\,\ln\left(x\right) \,d x","Not used",1,"int(cosh(a + b*x)*log(x), x)","F"
199,0,-1,66,0.000000,"\text{Not used}","int(cosh(a + b*x)^2*log(x),x)","\int {\mathrm{cosh}\left(a+b\,x\right)}^2\,\ln\left(x\right) \,d x","Not used",1,"int(cosh(a + b*x)^2*log(x), x)","F"
200,0,-1,88,0.000000,"\text{Not used}","int(cosh(a + b*x)^3*log(x),x)","\int {\mathrm{cosh}\left(a+b\,x\right)}^3\,\ln\left(x\right) \,d x","Not used",1,"int(cosh(a + b*x)^3*log(x), x)","F"
201,0,-1,39,0.000000,"\text{Not used}","int(log(a*sinh(x)),x)","\int \ln\left(a\,\mathrm{sinh}\left(x\right)\right) \,d x","Not used",1,"int(log(a*sinh(x)), x)","F"
202,0,-1,35,0.000000,"\text{Not used}","int(log(a*sinh(x)^2),x)","\int \ln\left(a\,{\mathrm{sinh}\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*sinh(x)^2), x)","F"
203,0,-1,44,0.000000,"\text{Not used}","int(log(a*sinh(x)^n),x)","\int \ln\left(a\,{\mathrm{sinh}\left(x\right)}^n\right) \,d x","Not used",1,"int(log(a*sinh(x)^n), x)","F"
204,0,-1,39,0.000000,"\text{Not used}","int(log(a*cosh(x)),x)","\int \ln\left(a\,\mathrm{cosh}\left(x\right)\right) \,d x","Not used",1,"int(log(a*cosh(x)), x)","F"
205,0,-1,35,0.000000,"\text{Not used}","int(log(a*cosh(x)^2),x)","\int \ln\left(a\,{\mathrm{cosh}\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*cosh(x)^2), x)","F"
206,0,-1,44,0.000000,"\text{Not used}","int(log(a*cosh(x)^n),x)","\int \ln\left(a\,{\mathrm{cosh}\left(x\right)}^n\right) \,d x","Not used",1,"int(log(a*cosh(x)^n), x)","F"
207,1,20,39,0.469519,"\text{Not used}","int(log(tanh(x)),x)","x\,\ln\left(\mathrm{tanh}\left(x\right)\right)-\frac{\mathrm{polylog}\left(2,\mathrm{tanh}\left(x\right)\right)}{2}+\frac{\mathrm{polylog}\left(2,-\mathrm{tanh}\left(x\right)\right)}{2}","Not used",1,"x*log(tanh(x)) - polylog(2, tanh(x))/2 + polylog(2, -tanh(x))/2","B"
208,0,-1,41,0.000000,"\text{Not used}","int(log(a*tanh(x)),x)","\int \ln\left(a\,\mathrm{tanh}\left(x\right)\right) \,d x","Not used",1,"int(log(a*tanh(x)), x)","F"
209,0,-1,37,0.000000,"\text{Not used}","int(log(a*tanh(x)^2),x)","\int \ln\left(a\,{\mathrm{tanh}\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*tanh(x)^2), x)","F"
210,0,-1,46,0.000000,"\text{Not used}","int(log(a*tanh(x)^n),x)","\int \ln\left(a\,{\mathrm{tanh}\left(x\right)}^n\right) \,d x","Not used",1,"int(log(a*tanh(x)^n), x)","F"
211,1,22,39,0.414135,"\text{Not used}","int(log(coth(x)),x)","\frac{\mathrm{polylog}\left(2,-\mathrm{coth}\left(x\right)\right)}{2}-\frac{\mathrm{polylog}\left(2,\mathrm{coth}\left(x\right)\right)}{2}+\mathrm{atanh}\left(\mathrm{coth}\left(x\right)\right)\,\ln\left(\mathrm{coth}\left(x\right)\right)","Not used",1,"polylog(2, -coth(x))/2 - polylog(2, coth(x))/2 + atanh(coth(x))*log(coth(x))","B"
212,0,-1,41,0.000000,"\text{Not used}","int(log(a*coth(x)),x)","\int \ln\left(a\,\mathrm{coth}\left(x\right)\right) \,d x","Not used",1,"int(log(a*coth(x)), x)","F"
213,0,-1,37,0.000000,"\text{Not used}","int(log(a*coth(x)^2),x)","\int \ln\left(a\,{\mathrm{coth}\left(x\right)}^2\right) \,d x","Not used",1,"int(log(a*coth(x)^2), x)","F"
214,0,-1,46,0.000000,"\text{Not used}","int(log(a*coth(x)^n),x)","\int \ln\left(a\,{\mathrm{coth}\left(x\right)}^n\right) \,d x","Not used",1,"int(log(a*coth(x)^n), x)","F"
215,0,-1,38,0.000000,"\text{Not used}","int(log(a/cosh(x)),x)","-\int \ln\left(\mathrm{cosh}\left(x\right)\right)-\ln\left(a\right) \,d x","Not used",1,"-int(log(cosh(x)) - log(a), x)","F"
216,0,-1,35,0.000000,"\text{Not used}","int(log(a/cosh(x)^2),x)","-\int 2\,\ln\left(\mathrm{cosh}\left(x\right)\right)-\ln\left(a\right) \,d x","Not used",1,"-int(2*log(cosh(x)) - log(a), x)","F"
217,0,-1,43,0.000000,"\text{Not used}","int(log(a*(1/cosh(x))^n),x)","\int \ln\left(a\,{\left(\frac{1}{\mathrm{cosh}\left(x\right)}\right)}^n\right) \,d x","Not used",1,"int(log(a*(1/cosh(x))^n), x)","F"
218,0,-1,38,0.000000,"\text{Not used}","int(log(a/sinh(x)),x)","\int \ln\left(\frac{a}{\mathrm{sinh}\left(x\right)}\right) \,d x","Not used",1,"int(log(a/sinh(x)), x)","F"
219,0,-1,35,0.000000,"\text{Not used}","int(log(a/sinh(x)^2),x)","\int \ln\left(\frac{a}{{\mathrm{sinh}\left(x\right)}^2}\right) \,d x","Not used",1,"int(log(a/sinh(x)^2), x)","F"
220,0,-1,43,0.000000,"\text{Not used}","int(log(a*(1/sinh(x))^n),x)","\int \ln\left(a\,{\left(\frac{1}{\mathrm{sinh}\left(x\right)}\right)}^n\right) \,d x","Not used",1,"int(log(a*(1/sinh(x))^n), x)","F"
221,1,31,50,0.509318,"\text{Not used}","int(log(cosh(a/2 + (b*x)/2)*sinh(a/2 + (b*x)/2))*cosh(a + b*x),x)","\frac{\ln\left(\frac{\mathrm{sinh}\left(a+b\,x\right)}{2}\right)\,\mathrm{sinh}\left(a+b\,x\right)}{b}-\frac{\mathrm{sinh}\left(a+b\,x\right)}{b}","Not used",1,"(log(sinh(a + b*x)/2)*sinh(a + b*x))/b - sinh(a + b*x)/b","B"
222,1,9,13,0.378764,"\text{Not used}","int(log(cosh(x)^2)*sinh(x),x)","2\,\mathrm{cosh}\left(x\right)\,\left(\ln\left(\mathrm{cosh}\left(x\right)\right)-1\right)","Not used",1,"2*cosh(x)*(log(cosh(x)) - 1)","B"
223,1,9,17,0.034338,"\text{Not used}","int(log(x)/x^(1/2),x)","2\,\sqrt{x}\,\left(\ln\left(x\right)-2\right)","Not used",1,"2*x^(1/2)*(log(x) - 2)","B"
224,1,25,27,0.121278,"\text{Not used}","int(x*log(2 - 3*x^2),x)","x^2\,\left(\frac{\ln\left(2-3\,x^2\right)}{2}-\frac{1}{2}\right)-\frac{\ln\left(x^2-\frac{2}{3}\right)}{3}","Not used",1,"x^2*(log(2 - 3*x^2)/2 - 1/2) - log(x^2 - 2/3)/3","B"
225,1,3,3,0.387799,"\text{Not used}","int(1/(x*(1 - log(x)^2)^(1/2)),x)","\mathrm{asin}\left(\ln\left(x\right)\right)","Not used",1,"asin(log(x))","B"
226,1,17,24,0.039087,"\text{Not used}","int(16*x^3*log(x)^2,x)","\frac{x^4\,\left(8\,{\ln\left(x\right)}^2-4\,\ln\left(x\right)+1\right)}{2}","Not used",1,"(x^4*(8*log(x)^2 - 4*log(x) + 1))/2","B"
227,1,25,25,0.064356,"\text{Not used}","int(log(a + b*x)/2,x)","\frac{x\,\ln\left(a+b\,x\right)}{2}-\frac{x}{2}+\frac{a\,\ln\left(a+b\,x\right)}{2\,b}","Not used",1,"(x*log(a + b*x))/2 - x/2 + (a*log(a + b*x))/(2*b)","B"
228,1,20,34,0.050958,"\text{Not used}","int((x*log(x + 2))/2,x)","\frac{x}{2}-\frac{x^2}{8}+\frac{\ln\left(x+2\right)\,\left(x^2-4\right)}{4}","Not used",1,"x/2 - x^2/8 + (log(x + 2)*(x^2 - 4))/4","B"
229,1,22,40,0.377436,"\text{Not used}","int((x*log(3*x + 1))/3,x)","\frac{x}{18}+\frac{\ln\left(3\,x+1\right)\,\left(x^2-\frac{1}{9}\right)}{6}-\frac{x^2}{12}","Not used",1,"x/18 + (log(3*x + 1)*(x^2 - 1/9))/6 - x^2/12","B"
230,1,25,31,0.405224,"\text{Not used}","int(x*log(x + x^3),x)","\frac{\ln\left(x^2+1\right)}{2}+\frac{x^2\,\ln\left(x^3+x\right)}{2}-\frac{3\,x^2}{4}","Not used",1,"log(x^2 + 1)/2 + (x^2*log(x + x^3))/2 - (3*x^2)/4","B"
231,1,22,26,0.078529,"\text{Not used}","int(log(x + (x^2 + 1)^(1/2)),x)","x\,\ln\left(x+\sqrt{x^2+1}\right)-\sqrt{x^2+1}","Not used",1,"x*log(x + (x^2 + 1)^(1/2)) - (x^2 + 1)^(1/2)","B"
232,1,22,26,0.554851,"\text{Not used}","int(log(x + (x^2 - 1)^(1/2)),x)","x\,\ln\left(x+\sqrt{x^2-1}\right)-\sqrt{x^2-1}","Not used",1,"x*log(x + (x^2 - 1)^(1/2)) - (x^2 - 1)^(1/2)","B"
233,1,22,26,0.485612,"\text{Not used}","int(log(x - (x^2 - 1)^(1/2)),x)","x\,\ln\left(x-\sqrt{x^2-1}\right)+\sqrt{x^2-1}","Not used",1,"x*log(x - (x^2 - 1)^(1/2)) + (x^2 - 1)^(1/2)","B"
234,1,37,43,1.078594,"\text{Not used}","int(log((x + 1)^(1/2) + x^(1/2)),x)","\mathrm{atanh}\left(\frac{\sqrt{x}}{\sqrt{x+1}-1}\right)-\frac{\sqrt{x}\,\sqrt{x+1}}{2}+x\,\ln\left(\sqrt{x+1}+\sqrt{x}\right)","Not used",1,"atanh(x^(1/2)/((x + 1)^(1/2) - 1)) - (x^(1/2)*(x + 1)^(1/2))/2 + x*log((x + 1)^(1/2) + x^(1/2))","B"
235,1,9,21,0.339788,"\text{Not used}","int(x^(1/3)*log(x),x)","\frac{3\,x^{4/3}\,\left(\ln\left(x\right)-\frac{3}{4}\right)}{4}","Not used",1,"(3*x^(4/3)*(log(x) - 3/4))/4","B"
236,1,13,13,0.361510,"\text{Not used}","int(2^log(x),x)","\frac{x^{\ln\left(2\right)+1}}{\ln\left(2\right)+1}","Not used",1,"x^(log(2) + 1)/(log(2) + 1)","B"
237,1,6,6,0.354583,"\text{Not used}","int(-(log(x) - 1)/x^2,x)","\frac{\ln\left(x\right)}{x}","Not used",1,"log(x)/x","B"
238,1,26,32,0.112015,"\text{Not used}","int(log(x + (x + 1)^(1/2) + 1),x)","\ln\left(\sqrt{x+1}\right)-x+\sqrt{x+1}+x\,\ln\left(x+\sqrt{x+1}+1\right)","Not used",1,"log((x + 1)^(1/2)) - x + (x + 1)^(1/2) + x*log(x + (x + 1)^(1/2) + 1)","B"
239,1,16,16,0.049697,"\text{Not used}","int(log(x + x^3),x)","2\,\mathrm{atan}\left(x\right)-3\,x+x\,\ln\left(x^3+x\right)","Not used",1,"2*atan(x) - 3*x + x*log(x + x^3)","B"
240,1,19,20,0.387410,"\text{Not used}","int(2^log(7*x - 8),x)","\frac{{\left(7\,x-8\right)}^{\ln\left(2\right)+1}}{7\,\left(\ln\left(2\right)+1\right)}","Not used",1,"(7*x - 8)^(log(2) + 1)/(7*(log(2) + 1))","B"
241,1,29,35,0.095003,"\text{Not used}","int(log((5*x - 11)/(76*x + 5)),x)","x\,\ln\left(\frac{5\,x-11}{76\,x+5}\right)-\frac{5\,\ln\left(x+\frac{5}{76}\right)}{76}-\frac{11\,\ln\left(x-\frac{11}{5}\right)}{5}","Not used",1,"x*log((5*x - 11)/(76*x + 5)) - (5*log(x + 5/76))/76 - (11*log(x - 11/5))/5","B"
242,1,12,12,0.051251,"\text{Not used}","int(log(1/(x + 13)),x)","\left(\ln\left(\frac{1}{x+13}\right)+1\right)\,\left(x+13\right)","Not used",1,"(log(1/(x + 13)) + 1)*(x + 13)","B"
243,1,40,36,0.486316,"\text{Not used}","int(x*log((x + 1)/x^2),x)","\frac{x}{2}-\frac{\ln\left(x\,\left(x+1\right)\right)}{3}-\frac{\ln\left(\frac{x+1}{x^2}\right)}{6}+\frac{x^2\,\ln\left(\frac{x+1}{x^2}\right)}{2}+\frac{x^2}{4}","Not used",1,"x/2 - log(x*(x + 1))/3 - log((x + 1)/x^2)/6 + (x^2*log((x + 1)/x^2))/2 + x^2/4","B"
244,1,56,54,0.585406,"\text{Not used}","int(x^3*log((5*x + 7)/x^2),x)","\frac{343\,x}{500}-\frac{2401\,\ln\left(x\,\left(5\,x+7\right)\right)}{3750}-\frac{2401\,\ln\left(\frac{5\,x+7}{x^2}\right)}{7500}+\frac{x^4\,\ln\left(\frac{5\,x+7}{x^2}\right)}{4}-\frac{49\,x^2}{200}+\frac{7\,x^3}{60}+\frac{x^4}{16}","Not used",1,"(343*x)/500 - (2401*log(x*(5*x + 7)))/3750 - (2401*log((5*x + 7)/x^2))/7500 + (x^4*log((5*x + 7)/x^2))/4 - (49*x^2)/200 + (7*x^3)/60 + x^4/16","B"
245,1,46,35,0.472863,"\text{Not used}","int(log(a + b*x)*(a + b*x),x)","\frac{a^2\,\ln\left(a+b\,x\right)}{2\,b}-\frac{b\,x^2}{4}-\frac{a\,x}{2}+a\,x\,\ln\left(a+b\,x\right)+\frac{b\,x^2\,\ln\left(a+b\,x\right)}{2}","Not used",1,"(a^2*log(a + b*x))/(2*b) - (b*x^2)/4 - (a*x)/2 + a*x*log(a + b*x) + (b*x^2*log(a + b*x))/2","B"
246,1,73,35,0.461442,"\text{Not used}","int(log(a + b*x)*(a + b*x)^2,x)","\frac{a^3\,\ln\left(a+b\,x\right)}{3\,b}-\frac{b^2\,x^3}{9}-\frac{a^2\,x}{3}+\frac{b^2\,x^3\,\ln\left(a+b\,x\right)}{3}-\frac{a\,b\,x^2}{3}+a^2\,x\,\ln\left(a+b\,x\right)+a\,b\,x^2\,\ln\left(a+b\,x\right)","Not used",1,"(a^3*log(a + b*x))/(3*b) - (b^2*x^3)/9 - (a^2*x)/3 + (b^2*x^3*log(a + b*x))/3 - (a*b*x^2)/3 + a^2*x*log(a + b*x) + a*b*x^2*log(a + b*x)","B"
247,1,13,15,0.545530,"\text{Not used}","int(log(a + b*x)/(a + b*x),x)","\frac{{\ln\left(a+b\,x\right)}^2}{2\,b}","Not used",1,"log(a + b*x)^2/(2*b)","B"
248,1,25,31,0.492371,"\text{Not used}","int(log(a + b*x)/(a + b*x)^2,x)","-\frac{a+a\,\ln\left(a+b\,x\right)}{a\,b\,\left(a+b\,x\right)}","Not used",1,"-(a + a*log(a + b*x))/(a*b*(a + b*x))","B"
249,1,52,44,0.460154,"\text{Not used}","int(log(a + b*x)*(a + b*x)^n,x)","\left\{\begin{array}{cl} \frac{{\ln\left(a+b\,x\right)}^2}{2\,b} & \text{\ if\ \ }n=-1\\ \frac{\left(\ln\left(a+b\,x\right)-\frac{1}{n+1}\right)\,{\left(a+b\,x\right)}^{n+1}}{b\,\left(n+1\right)} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(a + b*x)^2/(2*b), n ~= -1, ((log(a + b*x) - 1/(n + 1))*(a + b*x)^(n + 1))/(b*(n + 1)))","B"
250,1,18,18,0.378993,"\text{Not used}","int(1/(a*x + b*x*log(c*x^n)),x)","\frac{\ln\left(a+b\,\ln\left(c\,x^n\right)\right)}{b\,n}","Not used",1,"log(a + b*log(c*x^n))/(b*n)","B"
251,1,71,32,0.468864,"\text{Not used}","int(1/(a*x + b*x*log(c*x^n)^2),x)","-\frac{\ln\left(\frac{1}{b\,x}+\frac{\ln\left(c\,x^n\right)}{\sqrt{-a}\,\sqrt{b}\,x}\right)-\ln\left(\frac{1}{b\,x}-\frac{\ln\left(c\,x^n\right)}{\sqrt{-a}\,\sqrt{b}\,x}\right)}{2\,\sqrt{-a}\,\sqrt{b}\,n}","Not used",1,"-(log(1/(b*x) + log(c*x^n)/((-a)^(1/2)*b^(1/2)*x)) - log(1/(b*x) - log(c*x^n)/((-a)^(1/2)*b^(1/2)*x)))/(2*(-a)^(1/2)*b^(1/2)*n)","B"
252,1,153,144,2.282750,"\text{Not used}","int(1/(a*x + b*x*log(c*x^n)^3),x)","\frac{\ln\left(\frac{3\,a^{1/3}\,n}{b^{4/3}\,x^2}+\frac{3\,n\,\ln\left(c\,x^n\right)}{b\,x^2}\right)}{3\,a^{2/3}\,b^{1/3}\,n}+\frac{\ln\left(\frac{3\,n\,\ln\left(c\,x^n\right)}{b\,x^2}+\frac{3\,a^{1/3}\,n\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{4/3}\,x^2}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,n}-\frac{\ln\left(\frac{3\,n\,\ln\left(c\,x^n\right)}{b\,x^2}-\frac{3\,a^{1/3}\,n\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,b^{4/3}\,x^2}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{6\,a^{2/3}\,b^{1/3}\,n}","Not used",1,"log((3*a^(1/3)*n)/(b^(4/3)*x^2) + (3*n*log(c*x^n))/(b*x^2))/(3*a^(2/3)*b^(1/3)*n) + (log((3*n*log(c*x^n))/(b*x^2) + (3*a^(1/3)*n*(3^(1/2)*1i - 1))/(2*b^(4/3)*x^2))*(3^(1/2)*1i - 1))/(6*a^(2/3)*b^(1/3)*n) - (log((3*n*log(c*x^n))/(b*x^2) - (3*a^(1/3)*n*(3^(1/2)*1i + 1))/(2*b^(4/3)*x^2))*(3^(1/2)*1i + 1))/(6*a^(2/3)*b^(1/3)*n)","B"
253,1,95,227,2.239081,"\text{Not used}","int(1/(a*x + b*x*log(c*x^n)^4),x)","-\frac{\ln\left({\left(-a\right)}^{1/4}+b^{1/4}\,\ln\left(c\,x^n\right)\right)-\ln\left({\left(-a\right)}^{1/4}-b^{1/4}\,\ln\left(c\,x^n\right)\right)+\ln\left({\left(-a\right)}^{1/4}-b^{1/4}\,\ln\left(c\,x^n\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-\ln\left({\left(-a\right)}^{1/4}+b^{1/4}\,\ln\left(c\,x^n\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,{\left(-a\right)}^{3/4}\,b^{1/4}\,n}","Not used",1,"-(log((-a)^(1/4) + b^(1/4)*log(c*x^n)) - log((-a)^(1/4) - b^(1/4)*log(c*x^n)) + log((-a)^(1/4) - b^(1/4)*log(c*x^n)*1i)*1i - log((-a)^(1/4) + b^(1/4)*log(c*x^n)*1i)*1i)/(4*(-a)^(3/4)*b^(1/4)*n)","B"
254,1,27,27,0.364816,"\text{Not used}","int(1/(a*x + (b*x)/log(c*x^n)),x)","\frac{\ln\left(x\right)}{a}-\frac{b\,\ln\left(b+a\,\ln\left(c\,x^n\right)\right)}{a^2\,n}","Not used",1,"log(x)/a - (b*log(b + a*log(c*x^n)))/(a^2*n)","B"
255,1,45,40,0.375040,"\text{Not used}","int(1/(a*x + (b*x)/log(c*x^n)^2),x)","\frac{\ln\left(x\right)}{a}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{a^2\,n\,\ln\left(c\,x^n\right)}{\sqrt{b}\,\sqrt{a^3\,n^2}}\right)}{\sqrt{a^3\,n^2}}","Not used",1,"log(x)/a - (b^(1/2)*atan((a^2*n*log(c*x^n))/(b^(1/2)*(a^3*n^2)^(1/2))))/(a^3*n^2)^(1/2)","B"
256,1,174,149,2.401066,"\text{Not used}","int(1/(a*x + (b*x)/log(c*x^n)^3),x)","\frac{\ln\left(x\right)}{a}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(\frac{3\,{\left(-b\right)}^{4/3}\,n}{a^{7/3}\,x^2}+\frac{3\,b\,n\,\ln\left(c\,x^n\right)}{a^2\,x^2}\right)}{3\,a^{4/3}\,n}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(\frac{3\,b\,n\,\ln\left(c\,x^n\right)}{a^2\,x^2}+\frac{3\,{\left(-b\right)}^{4/3}\,n\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{7/3}\,x^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,n}-\frac{{\left(-b\right)}^{1/3}\,\ln\left(\frac{3\,b\,n\,\ln\left(c\,x^n\right)}{a^2\,x^2}-\frac{3\,{\left(-b\right)}^{4/3}\,n\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{7/3}\,x^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{3\,a^{4/3}\,n}","Not used",1,"log(x)/a + ((-b)^(1/3)*log((3*(-b)^(4/3)*n)/(a^(7/3)*x^2) + (3*b*n*log(c*x^n))/(a^2*x^2)))/(3*a^(4/3)*n) + ((-b)^(1/3)*log((3*b*n*log(c*x^n))/(a^2*x^2) + (3*(-b)^(4/3)*n*((3^(1/2)*1i)/2 - 1/2))/(a^(7/3)*x^2))*((3^(1/2)*1i)/2 - 1/2))/(3*a^(4/3)*n) - ((-b)^(1/3)*log((3*b*n*log(c*x^n))/(a^2*x^2) - (3*(-b)^(4/3)*n*((3^(1/2)*1i)/2 + 1/2))/(a^(7/3)*x^2))*((3^(1/2)*1i)/2 + 1/2))/(3*a^(4/3)*n)","B"
257,1,176,233,2.211731,"\text{Not used}","int(1/(a*x + (b*x)/log(c*x^n)^4),x)","\frac{\ln\left(x\right)}{a}+\frac{{\left(-b\right)}^{1/4}\,\left(\ln\left(-\frac{{\left(-b\right)}^{5/2}}{a^{11/2}\,x^3}-\frac{{\left(-b\right)}^{9/4}\,\ln\left(c\,x^n\right)\,1{}\mathrm{i}}{a^{21/4}\,x^3}\right)\,1{}\mathrm{i}-\ln\left(-\frac{{\left(-b\right)}^{5/2}}{a^{11/2}\,x^3}+\frac{{\left(-b\right)}^{9/4}\,\ln\left(c\,x^n\right)\,1{}\mathrm{i}}{a^{21/4}\,x^3}\right)\,1{}\mathrm{i}\right)}{4\,a^{5/4}\,n}-\frac{{\left(-b\right)}^{1/4}\,\ln\left(\frac{{\left(-b\right)}^{5/2}+a^{1/4}\,{\left(-b\right)}^{9/4}\,\ln\left(c\,x^n\right)}{x^3}\right)}{4\,a^{5/4}\,n}+\frac{{\left(-b\right)}^{1/4}\,\ln\left(\frac{{\left(-b\right)}^{5/2}-a^{1/4}\,{\left(-b\right)}^{9/4}\,\ln\left(c\,x^n\right)}{x^3}\right)}{4\,a^{5/4}\,n}","Not used",1,"log(x)/a + ((-b)^(1/4)*(log(- (-b)^(5/2)/(a^(11/2)*x^3) - ((-b)^(9/4)*log(c*x^n)*1i)/(a^(21/4)*x^3))*1i - log(((-b)^(9/4)*log(c*x^n)*1i)/(a^(21/4)*x^3) - (-b)^(5/2)/(a^(11/2)*x^3))*1i))/(4*a^(5/4)*n) - ((-b)^(1/4)*log(((-b)^(5/2) + a^(1/4)*(-b)^(9/4)*log(c*x^n))/x^3))/(4*a^(5/4)*n) + ((-b)^(1/4)*log(((-b)^(5/2) - a^(1/4)*(-b)^(9/4)*log(c*x^n))/x^3))/(4*a^(5/4)*n)","B"
258,1,19,22,0.430737,"\text{Not used}","int(1/(x + x*log(7*x) + x*log(7*x)^2),x)","\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\left(2\,\ln\left(7\,x\right)+1\right)}{3}\right)}{3}","Not used",1,"(2*3^(1/2)*atan((3^(1/2)*(2*log(7*x) + 1))/3))/3","B"
259,1,37,41,0.573507,"\text{Not used}","int((log(3*x) - 1)/(x*(log(3*x)^2 - log(3*x) + 1)),x)","\frac{\ln\left({\ln\left(3\,x\right)}^2-\ln\left(3\,x\right)+1\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\left(2\,\ln\left(3\,x\right)-1\right)}{3}\right)}{3}","Not used",1,"log(log(3*x)^2 - log(3*x) + 1)/2 - (3^(1/2)*atan((3^(1/2)*(2*log(3*x) - 1))/3))/3","B"
260,1,37,41,0.353797,"\text{Not used}","int((log(3*x)^2 - 1)/(x + x*log(3*x)^3),x)","\frac{\ln\left({\ln\left(3\,x\right)}^2-\ln\left(3\,x\right)+1\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\left(2\,\ln\left(3\,x\right)-1\right)}{3}\right)}{3}","Not used",1,"log(log(3*x)^2 - log(3*x) + 1)/2 - (3^(1/2)*atan((3^(1/2)*(2*log(3*x) - 1))/3))/3","B"
261,1,37,42,0.598474,"\text{Not used}","int((log(3*x)^2 - 1)/(x + x*log(3*x) + x*log(3*x)^2),x)","\ln\left(x\right)-\frac{\ln\left({\ln\left(3\,x\right)}^2+\ln\left(3\,x\right)+1\right)}{2}-\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,\left(2\,\ln\left(3\,x\right)+1\right)}{3}\right)","Not used",1,"log(x) - log(log(3*x) + log(3*x)^2 + 1)/2 - 3^(1/2)*atan((3^(1/2)*(2*log(3*x) + 1))/3)","B"
262,1,21,32,0.409973,"\text{Not used}","int(log(1/x)^2/x^5,x)","-\frac{\frac{{\ln\left(\frac{1}{x}\right)}^2}{4}-\frac{\ln\left(\frac{1}{x}\right)}{8}+\frac{1}{32}}{x^4}","Not used",1,"-(log(1/x)^2/4 - log(1/x)/8 + 1/32)/x^4","B"
263,0,-1,40,0.000000,"\text{Not used}","int(1/(-log(a*x^2))^(1/2),x)","\int \frac{1}{\sqrt{-\ln\left(a\,x^2\right)}} \,d x","Not used",1,"int(1/(-log(a*x^2))^(1/2), x)","F"
264,0,-1,39,0.000000,"\text{Not used}","int(1/(-log(a/x^2))^(1/2),x)","\int \frac{1}{\sqrt{-\ln\left(\frac{a}{x^2}\right)}} \,d x","Not used",1,"int(1/(-log(a/x^2))^(1/2), x)","F"
265,0,-1,43,0.000000,"\text{Not used}","int(1/(-log(a*x^n))^(1/2),x)","\int \frac{1}{\sqrt{-\ln\left(a\,x^n\right)}} \,d x","Not used",1,"int(1/(-log(a*x^n))^(1/2), x)","F"
266,0,-1,122,0.000000,"\text{Not used}","int(log(x^(1/2) - x + 1)/x,x)","\int \frac{\ln\left(\sqrt{x}-x+1\right)}{x} \,d x","Not used",1,"int(log(x^(1/2) - x + 1)/x, x)","F"
267,0,-1,81,0.000000,"\text{Not used}","int((x*log(c + d*x))/(a + b*x),x)","\int \frac{x\,\ln\left(c+d\,x\right)}{a+b\,x} \,d x","Not used",1,"int((x*log(c + d*x))/(a + b*x), x)","F"
268,1,4,9,0.017565,"\text{Not used}","int(log(x)/(x - 1),x)","-{\mathrm{Li}}_{\mathrm{2}}\left(x\right)","Not used",1,"-dilog(x)","B"
269,1,59,43,0.315352,"\text{Not used}","int((x*log(1 - b*x - a))/(a + b*x),x)","-\frac{\ln\left(1-b\,x-a\right)+b\,\left(x-x\,\ln\left(1-b\,x-a\right)\right)-a\,{\mathrm{Li}}_{\mathrm{2}}\left(1-b\,x-a\right)-a\,\ln\left(1-b\,x-a\right)}{b^2}","Not used",1,"-(log(1 - b*x - a) + b*(x - x*log(1 - b*x - a)) - a*dilog(1 - b*x - a) - a*log(1 - b*x - a))/b^2","B"
270,0,-1,30,0.000000,"\text{Not used}","int((log(x)*(b + 2*c*x))/(x*(b + c*x)),x)","\int \frac{\ln\left(x\right)\,\left(b+2\,c\,x\right)}{x\,\left(b+c\,x\right)} \,d x","Not used",1,"int((log(x)*(b + 2*c*x))/(x*(b + c*x)), x)","F"
271,1,7,7,0.417217,"\text{Not used}","int(sin(x*log(x)) + sin(x*log(x))*log(x),x)","-\cos\left(x\,\ln\left(x\right)\right)","Not used",1,"-cos(x*log(x))","B"
272,1,59,68,0.455886,"\text{Not used}","int(log(-((x - 1)^2 - 1)/((x - 1)^2 + 1))/x^2,x)","\frac{\ln\left(x\,\left(x-2\right)\right)}{2}-\mathrm{atan}\left(x-1\right)-\frac{\ln\left(x^2-2\,x+2\right)}{2}-\frac{\ln\left(2\,x-x^2\right)}{x}+\frac{\ln\left(x^2-2\,x+2\right)}{x}-\frac{1}{x}","Not used",1,"log(x*(x - 2))/2 - atan(x - 1) - log(x^2 - 2*x + 2)/2 - log(2*x - x^2)/x + log(x^2 - 2*x + 2)/x - 1/x","B"
273,1,23,29,0.075534,"\text{Not used}","int(log(x + x^(1/2)),x)","\sqrt{x}-\ln\left(\sqrt{x}+1\right)-x+x\,\ln\left(x+\sqrt{x}\right)","Not used",1,"x^(1/2) - log(x^(1/2) + 1) - x + x*log(x + x^(1/2))","B"
274,1,18,18,0.361876,"\text{Not used}","int(log(-x/(x + 1)),x)","x\,\ln\left(-\frac{x}{x+1}\right)-\ln\left(x+1\right)","Not used",1,"x*log(-x/(x + 1)) - log(x + 1)","B"
275,1,21,27,0.083268,"\text{Not used}","int(log((x - 1)/(x + 1)),x)","x\,\ln\left(\frac{x-1}{x+1}\right)-\ln\left(x^2-1\right)","Not used",1,"x*log((x - 1)/(x + 1)) - log(x^2 - 1)","B"
276,1,55,57,0.417244,"\text{Not used}","int(log(-(x^2 - 1)/(x^2 + 1))/(x + 1)^2,x)","\frac{\ln\left(x^2-1\right)}{2}-\frac{\ln\left(x^2+1\right)}{2}-\mathrm{atan}\left(x\right)-\frac{1}{x+1}+\frac{\ln\left(x^2+1\right)}{x+1}-\frac{\ln\left(1-x^2\right)}{x+1}","Not used",1,"log(x^2 - 1)/2 - log(x^2 + 1)/2 - atan(x) - 1/(x + 1) + log(x^2 + 1)/(x + 1) - log(1 - x^2)/(x + 1)","B"
277,0,-1,60,0.000000,"\text{Not used}","int(log(c*(x^2 + 1)^n)/(x^2 + 1),x)","\int \frac{\ln\left(c\,{\left(x^2+1\right)}^n\right)}{x^2+1} \,d x","Not used",1,"int(log(c*(x^2 + 1)^n)/(x^2 + 1), x)","F"
278,0,-1,61,0.000000,"\text{Not used}","int(log(x^2/(x^2 + 1))/(x^2 + 1),x)","\int \frac{\ln\left(\frac{x^2}{x^2+1}\right)}{x^2+1} \,d x","Not used",1,"int(log(x^2/(x^2 + 1))/(x^2 + 1), x)","F"
279,0,-1,165,0.000000,"\text{Not used}","int(log((c*x^2)/(a + b*x^2))/(a + b*x^2),x)","\int \frac{\ln\left(\frac{c\,x^2}{b\,x^2+a}\right)}{b\,x^2+a} \,d x","Not used",1,"int(log((c*x^2)/(a + b*x^2))/(a + b*x^2), x)","F"
280,0,-1,29,0.000000,"\text{Not used}","int(-log(((1 - a*x)^(1/2)*1i)/(a*x + 1)^(1/2) + 1)/(a^2*x^2 - 1),x)","\int -\frac{\ln\left(1+\frac{\sqrt{1-a\,x}\,1{}\mathrm{i}}{\sqrt{a\,x+1}}\right)}{a^2\,x^2-1} \,d x","Not used",1,"int(-log(((1 - a*x)^(1/2)*1i)/(a*x + 1)^(1/2) + 1)/(a^2*x^2 - 1), x)","F"
281,0,-1,29,0.000000,"\text{Not used}","int(-log(1 - ((1 - a*x)^(1/2)*1i)/(a*x + 1)^(1/2))/(a^2*x^2 - 1),x)","\int -\frac{\ln\left(1-\frac{\sqrt{1-a\,x}\,1{}\mathrm{i}}{\sqrt{a\,x+1}}\right)}{a^2\,x^2-1} \,d x","Not used",1,"int(-log(1 - ((1 - a*x)^(1/2)*1i)/(a*x + 1)^(1/2))/(a^2*x^2 - 1), x)","F"
282,1,17,17,0.065456,"\text{Not used}","int(log(exp(a + b*x)),x)","x\,\ln\left({\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\right)-\frac{b\,x^2}{2}","Not used",1,"x*log(exp(b*x)*exp(a)) - (b*x^2)/2","B"
283,1,49,27,0.598014,"\text{Not used}","int(log(exp(a + b*x^n)),x)","\left\{\begin{array}{cl} x\,\ln\left({\mathrm{e}}^{a+\frac{b}{x}}\right)+b\,\ln\left(x\right) & \text{\ if\ \ }n=-1\\ x\,\ln\left({\mathrm{e}}^{a+b\,x^n}\right)-\frac{b\,n\,x^{n+1}}{n+1} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, x*log(exp(a + b/x)) + b*log(x), n ~= -1, x*log(exp(a + b*x^n)) - (b*n*x^(n + 1))/(n + 1))","B"
284,1,27,25,0.660712,"\text{Not used}","int(exp(x)*log(a + b*exp(x)),x)","{\mathrm{e}}^x\,\ln\left(a+b\,{\mathrm{e}}^x\right)-{\mathrm{e}}^x+\frac{a\,\ln\left(a+b\,{\mathrm{e}}^x\right)}{b}","Not used",1,"exp(x)*log(a + b*exp(x)) - exp(x) + (a*log(a + b*exp(x)))/b","B"
285,1,20,26,0.365990,"\text{Not used}","int(exp(a + b*x)*log(x),x)","-\frac{{\mathrm{e}}^a\,\left(\mathrm{ei}\left(b\,x\right)-{\mathrm{e}}^{b\,x}\,\ln\left(x\right)\right)}{b}","Not used",1,"-(exp(a)*(ei(b*x) - exp(b*x)*log(x)))/b","B"
286,0,-1,13,0.000000,"\text{Not used}","int(x^2/(x + log(x)),x)","\int \frac{x^2}{x+\ln\left(x\right)} \,d x","Not used",0,"int(x^2/(x + log(x)), x)","F"
287,0,-1,11,0.000000,"\text{Not used}","int(x/(x + log(x)),x)","\int \frac{x}{x+\ln\left(x\right)} \,d x","Not used",0,"int(x/(x + log(x)), x)","F"
288,0,-1,9,0.000000,"\text{Not used}","int(1/(x + log(x)),x)","\int \frac{1}{x+\ln\left(x\right)} \,d x","Not used",0,"int(1/(x + log(x)), x)","F"
289,0,-1,13,0.000000,"\text{Not used}","int(1/(x*(x + log(x))),x)","\int \frac{1}{x\,\left(x+\ln\left(x\right)\right)} \,d x","Not used",0,"int(1/(x*(x + log(x))), x)","F"
290,0,-1,13,0.000000,"\text{Not used}","int(1/(x^2*(x + log(x))),x)","\int \frac{1}{x^2\,\left(x+\ln\left(x\right)\right)} \,d x","Not used",0,"int(1/(x^2*(x + log(x))), x)","F"
291,1,11,13,0.464496,"\text{Not used}","int(log(x)/(x + 4*x*log(x)^2),x)","\frac{\ln\left(4\,{\ln\left(x\right)}^2+1\right)}{8}","Not used",1,"log(4*log(x)^2 + 1)/8","B"
292,1,10,9,0.373884,"\text{Not used}","int(-(log(x) - 1)/(x*(x + log(x))),x)","\ln\left(x+\ln\left(x\right)\right)-\ln\left(x\right)","Not used",1,"log(x + log(x)) - log(x)","B"
293,1,13,13,0.394683,"\text{Not used}","int((x + 1)/(log(x)*(x + log(x))),x)","\ln\left(\ln\left(x\right)\right)-\ln\left(x+\ln\left(x\right)\right)+\mathrm{logint}\left(x\right)","Not used",1,"log(log(x)) - log(x + log(x)) + logint(x)","B"
294,1,63,67,0.643881,"\text{Not used}","int(log(((x + 1)/x)^(1/2) + 2),x)","\frac{\ln\left(-5\,\sqrt{\frac{x+1}{x}}-5\right)}{2}-\frac{\ln\left(\frac{\sqrt{\frac{x+1}{x}}}{9}-\frac{1}{9}\right)}{6}-\frac{\ln\left(-\frac{5\,\sqrt{\frac{x+1}{x}}}{9}-\frac{10}{9}\right)}{3}+x\,\ln\left(\sqrt{\frac{x+1}{x}}+2\right)","Not used",1,"log(- 5*((x + 1)/x)^(1/2) - 5)/2 - log(((x + 1)/x)^(1/2)/9 - 1/9)/6 - log(- (5*((x + 1)/x)^(1/2))/9 - 10/9)/3 + x*log(((x + 1)/x)^(1/2) + 2)","B"
295,1,38,50,0.448167,"\text{Not used}","int(log(((x + 1)/x)^(1/2) + 1),x)","\frac{x}{2}+\frac{\mathrm{atanh}\left(\sqrt{\frac{1}{x}+1}\right)}{2}+x\,\ln\left(\sqrt{\frac{x+1}{x}}+1\right)-\frac{x\,\sqrt{\frac{1}{x}+1}}{2}","Not used",1,"x/2 + atanh((1/x + 1)^(1/2))/2 + x*log(((x + 1)/x)^(1/2) + 1) - (x*(1/x + 1)^(1/2))/2","B"
296,1,18,21,0.057050,"\text{Not used}","int(log((x + 1)/x)/2,x)","\frac{\ln\left(x+1\right)}{2}+\frac{x\,\ln\left(\frac{x+1}{x}\right)}{2}","Not used",1,"log(x + 1)/2 + (x*log((x + 1)/x))/2","B"
297,1,38,50,0.430555,"\text{Not used}","int(log(((x + 1)/x)^(1/2) - 1),x)","\frac{x}{2}-\frac{\mathrm{atanh}\left(\sqrt{\frac{1}{x}+1}\right)}{2}+x\,\ln\left(\sqrt{\frac{x+1}{x}}-1\right)+\frac{x\,\sqrt{\frac{1}{x}+1}}{2}","Not used",1,"x/2 - atanh((1/x + 1)^(1/2))/2 + x*log(((x + 1)/x)^(1/2) - 1) + (x*(1/x + 1)^(1/2))/2","B"
298,1,63,69,0.323690,"\text{Not used}","int(log(((x + 1)/x)^(1/2) - 2),x)","\frac{\ln\left(5-5\,\sqrt{\frac{x+1}{x}}\right)}{2}-\frac{\ln\left(\frac{\sqrt{\frac{x+1}{x}}}{9}+\frac{1}{9}\right)}{6}-\frac{\ln\left(\frac{10}{9}-\frac{5\,\sqrt{\frac{x+1}{x}}}{9}\right)}{3}+x\,\ln\left(\sqrt{\frac{x+1}{x}}-2\right)","Not used",1,"log(5 - 5*((x + 1)/x)^(1/2))/2 - log(((x + 1)/x)^(1/2)/9 + 1/9)/6 - log(10/9 - (5*((x + 1)/x)^(1/2))/9)/3 + x*log(((x + 1)/x)^(1/2) - 2)","B"
299,1,9,9,0.365637,"\text{Not used}","int(x^(a*x) + x^(a*x)*log(x),x)","\frac{x^{a\,x}}{a}","Not used",1,"x^(a*x)/a","B"
300,0,-1,26,0.000000,"\text{Not used}","int((log(x)^m)^p,x)","\int {\left({\ln\left(x\right)}^m\right)}^p \,d x","Not used",1,"int((log(x)^m)^p, x)","F"
301,0,-1,60,0.000000,"\text{Not used}","int(log(x)/(a + b*log(x))^(1/2),x)","\int \frac{\ln\left(x\right)}{\sqrt{a+b\,\ln\left(x\right)}} \,d x","Not used",1,"int(log(x)/(a + b*log(x))^(1/2), x)","F"
302,0,-1,64,0.000000,"\text{Not used}","int(log(x)/(a - b*log(x))^(1/2),x)","\int \frac{\ln\left(x\right)}{\sqrt{a-b\,\ln\left(x\right)}} \,d x","Not used",1,"int(log(x)/(a - b*log(x))^(1/2), x)","F"
303,0,-1,69,0.000000,"\text{Not used}","int((A + B*log(x))/(a + b*log(x))^(1/2),x)","\int \frac{A+B\,\ln\left(x\right)}{\sqrt{a+b\,\ln\left(x\right)}} \,d x","Not used",1,"int((A + B*log(x))/(a + b*log(x))^(1/2), x)","F"
304,0,-1,71,0.000000,"\text{Not used}","int((A + B*log(x))/(a - b*log(x))^(1/2),x)","\int \frac{A+B\,\ln\left(x\right)}{\sqrt{a-b\,\ln\left(x\right)}} \,d x","Not used",1,"int((A + B*log(x))/(a - b*log(x))^(1/2), x)","F"
305,0,-1,98,0.000000,"\text{Not used}","int(x^2*log(log(x)*sin(x)),x)","\int x^2\,\ln\left(\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(x^2*log(log(x)*sin(x)), x)","F"
306,0,-1,80,0.000000,"\text{Not used}","int(x*log(log(x)*sin(x)),x)","\int x\,\ln\left(\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(x*log(log(x)*sin(x)), x)","F"
307,0,-1,52,0.000000,"\text{Not used}","int(log(log(x)*sin(x)),x)","\int \ln\left(\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(log(log(x)*sin(x)), x)","F"
308,0,-1,13,0.000000,"\text{Not used}","int(log(log(x)*sin(x))/x,x)","\int \frac{\ln\left(\ln\left(x\right)\,\sin\left(x\right)\right)}{x} \,d x","Not used",0,"int(log(log(x)*sin(x))/x, x)","F"
309,0,-1,26,0.000000,"\text{Not used}","int(log(log(x)*sin(x))/x^2,x)","\int \frac{\ln\left(\ln\left(x\right)\,\sin\left(x\right)\right)}{x^2} \,d x","Not used",0,"int(log(log(x)*sin(x))/x^2, x)","F"
310,0,-1,103,0.000000,"\text{Not used}","int(x^2*log(exp(x)*log(x)*sin(x)),x)","\int x^2\,\ln\left({\mathrm{e}}^x\,\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(x^2*log(exp(x)*log(x)*sin(x)), x)","F"
311,0,-1,85,0.000000,"\text{Not used}","int(x*log(exp(x)*log(x)*sin(x)),x)","\int x\,\ln\left({\mathrm{e}}^x\,\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(x*log(exp(x)*log(x)*sin(x)), x)","F"
312,0,-1,57,0.000000,"\text{Not used}","int(log(exp(x)*log(x)*sin(x)),x)","\int \ln\left({\mathrm{e}}^x\,\ln\left(x\right)\,\sin\left(x\right)\right) \,d x","Not used",1,"int(log(exp(x)*log(x)*sin(x)), x)","F"
313,0,-1,16,0.000000,"\text{Not used}","int(log(exp(x)*log(x)*sin(x))/x,x)","\int \frac{\ln\left({\mathrm{e}}^x\,\ln\left(x\right)\,\sin\left(x\right)\right)}{x} \,d x","Not used",0,"int(log(exp(x)*log(x)*sin(x))/x, x)","F"
314,0,-1,31,0.000000,"\text{Not used}","int(log(exp(x)*log(x)*sin(x))/x^2,x)","\int \frac{\ln\left({\mathrm{e}}^x\,\ln\left(x\right)\,\sin\left(x\right)\right)}{x^2} \,d x","Not used",0,"int(log(exp(x)*log(x)*sin(x))/x^2, x)","F"