1,0,-1,263,0.000000,"\text{Not used}","int(x^3*atanh(a + b*x)^2,x)","\int x^3\,{\mathrm{atanh}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^3*atanh(a + b*x)^2, x)","F"
2,0,-1,204,0.000000,"\text{Not used}","int(x^2*atanh(a + b*x)^2,x)","\int x^2\,{\mathrm{atanh}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^2*atanh(a + b*x)^2, x)","F"
3,0,-1,136,0.000000,"\text{Not used}","int(x*atanh(a + b*x)^2,x)","\int x\,{\mathrm{atanh}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x*atanh(a + b*x)^2, x)","F"
4,0,-1,81,0.000000,"\text{Not used}","int(atanh(a + b*x)^2,x)","\int {\mathrm{atanh}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(atanh(a + b*x)^2, x)","F"
5,0,-1,148,0.000000,"\text{Not used}","int(atanh(a + b*x)^2/x,x)","\int \frac{{\mathrm{atanh}\left(a+b\,x\right)}^2}{x} \,d x","Not used",1,"int(atanh(a + b*x)^2/x, x)","F"
6,0,-1,251,0.000000,"\text{Not used}","int(atanh(a + b*x)^2/x^2,x)","\int \frac{{\mathrm{atanh}\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",1,"int(atanh(a + b*x)^2/x^2, x)","F"
7,0,-1,370,0.000000,"\text{Not used}","int(atanh(a + b*x)^2/x^3,x)","\int \frac{{\mathrm{atanh}\left(a+b\,x\right)}^2}{x^3} \,d x","Not used",1,"int(atanh(a + b*x)^2/x^3, x)","F"
8,0,-1,56,0.000000,"\text{Not used}","int(atanh(b*x + 1)^2/x,x)","\int \frac{{\mathrm{atanh}\left(b\,x+1\right)}^2}{x} \,d x","Not used",1,"int(atanh(b*x + 1)^2/x, x)","F"
9,1,414,72,1.420867,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*atanh(c + d*x)),x)","x^3\,\left(\frac{d^2\,e^3\,\left(b+20\,a\,c\right)}{12}-\frac{2\,a\,c\,d^2\,e^3}{3}\right)+\ln\left(c+d\,x+1\right)\,\left(\frac{b\,c^3\,e^3\,x}{2}+\frac{3\,b\,c^2\,d\,e^3\,x^2}{4}+\frac{b\,c\,d^2\,e^3\,x^3}{2}+\frac{b\,d^3\,e^3\,x^4}{8}\right)-\ln\left(1-d\,x-c\right)\,\left(\frac{b\,c^3\,e^3\,x}{2}+\frac{3\,b\,c^2\,d\,e^3\,x^2}{4}+\frac{b\,c\,d^2\,e^3\,x^3}{2}+\frac{b\,d^3\,e^3\,x^4}{8}\right)-x^2\,\left(\frac{c\,\left(\frac{d^2\,e^3\,\left(b+20\,a\,c\right)}{4}-2\,a\,c\,d^2\,e^3\right)}{d}-\frac{d\,e^3\,\left(10\,a\,c^2+b\,c-a\right)}{2}+\frac{a\,d\,e^3\,\left(4\,c^2-4\right)}{8}\right)+x\,\left(\frac{c\,e^3\,\left(20\,a\,c^2+3\,b\,c-6\,a\right)}{2}-\frac{\left(4\,c^2-4\right)\,\left(\frac{d^2\,e^3\,\left(b+20\,a\,c\right)}{4}-2\,a\,c\,d^2\,e^3\right)}{4\,d^2}+\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{d^2\,e^3\,\left(b+20\,a\,c\right)}{4}-2\,a\,c\,d^2\,e^3\right)}{d}-d\,e^3\,\left(10\,a\,c^2+b\,c-a\right)+\frac{a\,d\,e^3\,\left(4\,c^2-4\right)}{4}\right)}{d}\right)+\frac{\ln\left(c+d\,x-1\right)\,\left(b\,e^3-b\,c^4\,e^3\right)}{8\,d}+\frac{a\,d^3\,e^3\,x^4}{4}+\frac{b\,e^3\,\ln\left(c+d\,x+1\right)\,\left(c^2+1\right)\,\left(c-1\right)\,\left(c+1\right)}{8\,d}","Not used",1,"x^3*((d^2*e^3*(b + 20*a*c))/12 - (2*a*c*d^2*e^3)/3) + log(c + d*x + 1)*((b*d^3*e^3*x^4)/8 + (b*c^3*e^3*x)/2 + (3*b*c^2*d*e^3*x^2)/4 + (b*c*d^2*e^3*x^3)/2) - log(1 - d*x - c)*((b*d^3*e^3*x^4)/8 + (b*c^3*e^3*x)/2 + (3*b*c^2*d*e^3*x^2)/4 + (b*c*d^2*e^3*x^3)/2) - x^2*((c*((d^2*e^3*(b + 20*a*c))/4 - 2*a*c*d^2*e^3))/d - (d*e^3*(b*c - a + 10*a*c^2))/2 + (a*d*e^3*(4*c^2 - 4))/8) + x*((c*e^3*(3*b*c - 6*a + 20*a*c^2))/2 - ((4*c^2 - 4)*((d^2*e^3*(b + 20*a*c))/4 - 2*a*c*d^2*e^3))/(4*d^2) + (2*c*((2*c*((d^2*e^3*(b + 20*a*c))/4 - 2*a*c*d^2*e^3))/d - d*e^3*(b*c - a + 10*a*c^2) + (a*d*e^3*(4*c^2 - 4))/4))/d) + (log(c + d*x - 1)*(b*e^3 - b*c^4*e^3))/(8*d) + (a*d^3*e^3*x^4)/4 + (b*e^3*log(c + d*x + 1)*(c^2 + 1)*(c - 1)*(c + 1))/(8*d)","B"
10,1,237,69,0.618461,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atanh(c + d*x)),x)","\frac{a\,d^2\,e^2\,x^3}{3}+\frac{b\,c\,e^2\,x}{3}+\frac{b\,e^2\,\ln\left(c+d\,x-1\right)}{6\,d}+\frac{b\,e^2\,\ln\left(c+d\,x+1\right)}{6\,d}+a\,c^2\,e^2\,x+\frac{b\,d\,e^2\,x^2}{6}+a\,c\,d\,e^2\,x^2+\frac{b\,c^2\,e^2\,x\,\ln\left(c+d\,x+1\right)}{2}-\frac{b\,c^3\,e^2\,\ln\left(c+d\,x-1\right)}{6\,d}+\frac{b\,c^3\,e^2\,\ln\left(c+d\,x+1\right)}{6\,d}-\frac{b\,c^2\,e^2\,x\,\ln\left(1-d\,x-c\right)}{2}+\frac{b\,d^2\,e^2\,x^3\,\ln\left(c+d\,x+1\right)}{6}-\frac{b\,d^2\,e^2\,x^3\,\ln\left(1-d\,x-c\right)}{6}+\frac{b\,c\,d\,e^2\,x^2\,\ln\left(c+d\,x+1\right)}{2}-\frac{b\,c\,d\,e^2\,x^2\,\ln\left(1-d\,x-c\right)}{2}","Not used",1,"(a*d^2*e^2*x^3)/3 + (b*c*e^2*x)/3 + (b*e^2*log(c + d*x - 1))/(6*d) + (b*e^2*log(c + d*x + 1))/(6*d) + a*c^2*e^2*x + (b*d*e^2*x^2)/6 + a*c*d*e^2*x^2 + (b*c^2*e^2*x*log(c + d*x + 1))/2 - (b*c^3*e^2*log(c + d*x - 1))/(6*d) + (b*c^3*e^2*log(c + d*x + 1))/(6*d) - (b*c^2*e^2*x*log(1 - d*x - c))/2 + (b*d^2*e^2*x^3*log(c + d*x + 1))/6 - (b*d^2*e^2*x^3*log(1 - d*x - c))/6 + (b*c*d*e^2*x^2*log(c + d*x + 1))/2 - (b*c*d*e^2*x^2*log(1 - d*x - c))/2","B"
11,1,73,48,1.842281,"\text{Not used}","int((c*e + d*e*x)*(a + b*atanh(c + d*x)),x)","\frac{b\,e\,x}{2}+a\,c\,e\,x-\frac{b\,e\,\mathrm{atanh}\left(c+d\,x\right)}{2\,d}+\frac{a\,d\,e\,x^2}{2}+\frac{b\,c^2\,e\,\mathrm{atanh}\left(c+d\,x\right)}{2\,d}+b\,c\,e\,x\,\mathrm{atanh}\left(c+d\,x\right)+\frac{b\,d\,e\,x^2\,\mathrm{atanh}\left(c+d\,x\right)}{2}","Not used",1,"(b*e*x)/2 + a*c*e*x - (b*e*atanh(c + d*x))/(2*d) + (a*d*e*x^2)/2 + (b*c^2*e*atanh(c + d*x))/(2*d) + b*c*e*x*atanh(c + d*x) + (b*d*e*x^2*atanh(c + d*x))/2","B"
12,0,-1,54,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))/(c*e + d*e*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c+d\,x\right)}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))/(c*e + d*e*x), x)","F"
13,1,122,63,1.368954,"\text{Not used}","int((a + b*atanh(c + d*x))/(c*e + d*e*x)^2,x)","\frac{b\,\ln\left(1-d\,x-c\right)}{2\,x\,d^2\,e^2+2\,c\,d\,e^2}-\frac{b\,\ln\left(c+d\,x+1\right)}{2\,\left(x\,d^2\,e^2+c\,d\,e^2\right)}-\frac{a}{x\,d^2\,e^2+c\,d\,e^2}-\frac{b\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2\,d\,e^2}+\frac{b\,\ln\left(c+d\,x\right)}{d\,e^2}","Not used",1,"(b*log(1 - d*x - c))/(2*d^2*e^2*x + 2*c*d*e^2) - (b*log(c + d*x + 1))/(2*(d^2*e^2*x + c*d*e^2)) - a/(d^2*e^2*x + c*d*e^2) - (b*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/(2*d*e^2) + (b*log(c + d*x))/(d*e^2)","B"
14,1,67,63,1.731750,"\text{Not used}","int((a + b*atanh(c + d*x))/(c*e + d*e*x)^3,x)","\frac{b\,\mathrm{atanh}\left(c+d\,x\right)}{2\,d\,e^3}-\frac{\frac{a}{2}+\frac{b\,c}{2}+\frac{b\,\ln\left(c+d\,x+1\right)}{4}-\frac{b\,\ln\left(1-d\,x-c\right)}{4}+\frac{b\,d\,x}{2}}{d\,e^3\,{\left(c+d\,x\right)}^2}","Not used",1,"(b*atanh(c + d*x))/(2*d*e^3) - (a/2 + (b*c)/2 + (b*log(c + d*x + 1))/4 - (b*log(1 - d*x - c))/4 + (b*d*x)/2)/(d*e^3*(c + d*x)^2)","B"
15,1,1730,159,2.124401,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*atanh(c + d*x))^2,x)","{\ln\left(1-d\,x-c\right)}^2\,\left(\frac{b^2\,c^3\,e^3\,x}{4}-\frac{b^2\,e^3-b^2\,c^4\,e^3}{16\,d}+\frac{b^2\,d^3\,e^3\,x^4}{16}+\frac{3\,b^2\,c^2\,d\,e^3\,x^2}{8}+\frac{b^2\,c\,d^2\,e^3\,x^3}{4}\right)+x\,\left(\frac{c\,e^3\,\left(20\,a^2\,c^2-6\,a^2+6\,a\,b\,c+b^2\right)}{2}+\frac{\left(6\,c^2-6\right)\,\left(2\,a^2\,c\,d^2\,e^3-\frac{a\,d^2\,e^3\,\left(b+10\,a\,c\right)}{2}\right)}{6\,d^2}-\frac{2\,c\,\left(\frac{2\,c\,\left(2\,a^2\,c\,d^2\,e^3-\frac{a\,d^2\,e^3\,\left(b+10\,a\,c\right)}{2}\right)}{d}+\frac{d\,e^3\,\left(60\,a^2\,c^2-6\,a^2+12\,a\,b\,c+b^2\right)}{6}-\frac{a^2\,d\,e^3\,\left(6\,c^2-6\right)}{6}\right)}{d}\right)-\ln\left(1-d\,x-c\right)\,\left(\ln\left(c+d\,x+1\right)\,\left(\frac{b^2\,c^3\,e^3\,x}{2}-\frac{\frac{b^2\,e^3}{2}-\frac{b^2\,c^4\,e^3}{2}}{4\,d}+\frac{b^2\,d^3\,e^3\,x^4}{8}+\frac{3\,b^2\,c^2\,d\,e^3\,x^2}{4}+\frac{b^2\,c\,d^2\,e^3\,x^3}{2}\right)+\frac{x^2\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(32\,b^2\,c\,d^4\,e^3-8\,b^2\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)+8\,b^2\,d^4\,e^3\,\left(c-1\right)\right)}{d^2}-48\,b^2\,c^2\,d^3\,e^3+8\,b^2\,d^3\,e^3\,\left(c-1\right)\,\left(c+1\right)-32\,b^2\,c\,d^3\,e^3\,\left(c-1\right)\right)}{128\,d^2}-\frac{x^2\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(32\,b\,d^4\,e^3\,\left(8\,a\,c-2\,a+b\,c\right)-8\,b\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(8\,a+b\right)+8\,b\,d^4\,e^3\,\left(8\,a+b\right)\,\left(c+1\right)\right)}{d^2}-48\,b\,c\,d^3\,e^3\,\left(8\,a\,c-4\,a+b\,c\right)-32\,b\,d^3\,e^3\,\left(c+1\right)\,\left(8\,a\,c-2\,a+b\,c\right)+8\,b\,d^3\,e^3\,\left(8\,a+b\right)\,\left(c-1\right)\,\left(c+1\right)\right)}{128\,d^2}+\frac{x^3\,\left(32\,b\,d^4\,e^3\,\left(8\,a\,c-2\,a+b\,c\right)-8\,b\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(8\,a+b\right)+8\,b\,d^4\,e^3\,\left(8\,a+b\right)\,\left(c+1\right)\right)}{192\,d^2}-\frac{x^3\,\left(32\,b^2\,c\,d^4\,e^3-8\,b^2\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)+8\,b^2\,d^4\,e^3\,\left(c-1\right)\right)}{192\,d^2}+\frac{x\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(32\,b\,d^4\,e^3\,\left(8\,a\,c-2\,a+b\,c\right)-8\,b\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(8\,a+b\right)+8\,b\,d^4\,e^3\,\left(8\,a+b\right)\,\left(c+1\right)\right)}{d^2}-48\,b\,c\,d^3\,e^3\,\left(8\,a\,c-4\,a+b\,c\right)-32\,b\,d^3\,e^3\,\left(c+1\right)\,\left(8\,a\,c-2\,a+b\,c\right)+8\,b\,d^3\,e^3\,\left(8\,a+b\right)\,\left(c-1\right)\,\left(c+1\right)\right)}{d^2}-\frac{\left(c-1\right)\,\left(c+1\right)\,\left(32\,b\,d^4\,e^3\,\left(8\,a\,c-2\,a+b\,c\right)-8\,b\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(8\,a+b\right)+8\,b\,d^4\,e^3\,\left(8\,a+b\right)\,\left(c+1\right)\right)}{d^2}+32\,b\,c^2\,d^2\,e^3\,\left(8\,a\,c-6\,a+b\,c\right)+48\,b\,c\,d^2\,e^3\,\left(c+1\right)\,\left(8\,a\,c-4\,a+b\,c\right)\right)}{64\,d^2}-\frac{x\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(\frac{\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(32\,b^2\,c\,d^4\,e^3-8\,b^2\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)+8\,b^2\,d^4\,e^3\,\left(c-1\right)\right)}{d^2}-48\,b^2\,c^2\,d^3\,e^3+8\,b^2\,d^3\,e^3\,\left(c-1\right)\,\left(c+1\right)-32\,b^2\,c\,d^3\,e^3\,\left(c-1\right)\right)}{d^2}+32\,b^2\,c^3\,d^2\,e^3-\frac{\left(c-1\right)\,\left(c+1\right)\,\left(32\,b^2\,c\,d^4\,e^3-8\,b^2\,d^3\,e^3\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)+8\,b^2\,d^4\,e^3\,\left(c-1\right)\right)}{d^2}+48\,b^2\,c^2\,d^2\,e^3\,\left(c-1\right)\right)}{64\,d^2}-\frac{b^2\,d^3\,e^3\,x^4}{32}+\frac{b\,d^3\,e^3\,x^4\,\left(8\,a+b\right)}{32}\right)+x^2\,\left(\frac{c\,\left(2\,a^2\,c\,d^2\,e^3-\frac{a\,d^2\,e^3\,\left(b+10\,a\,c\right)}{2}\right)}{d}+\frac{d\,e^3\,\left(60\,a^2\,c^2-6\,a^2+12\,a\,b\,c+b^2\right)}{12}-\frac{a^2\,d\,e^3\,\left(6\,c^2-6\right)}{12}\right)-x^3\,\left(\frac{2\,a^2\,c\,d^2\,e^3}{3}-\frac{a\,d^2\,e^3\,\left(b+10\,a\,c\right)}{6}\right)+{\ln\left(c+d\,x+1\right)}^2\,\left(\frac{b^2\,c^3\,e^3\,x}{4}-\frac{b^2\,e^3-b^2\,c^4\,e^3}{16\,d}+\frac{b^2\,d^3\,e^3\,x^4}{16}+\frac{3\,b^2\,c^2\,d\,e^3\,x^2}{8}+\frac{b^2\,c\,d^2\,e^3\,x^3}{4}\right)-\frac{\ln\left(c+d\,x-1\right)\,\left(b^2\,c^3\,e^3+3\,b^2\,c\,e^3-4\,b^2\,e^3+3\,a\,b\,c^4\,e^3-3\,a\,b\,e^3\right)}{12\,d}+\frac{\ln\left(c+d\,x+1\right)\,\left(b^2\,c^3\,e^3+3\,b^2\,c\,e^3+4\,b^2\,e^3+3\,a\,b\,c^4\,e^3-3\,a\,b\,e^3\right)}{12\,d}+d\,\ln\left(c+d\,x+1\right)\,\left(x^2\,\left(\frac{b^2\,c\,e^3}{4}+\frac{3\,a\,b\,c^2\,e^3}{2}\right)+x^3\,\left(\frac{d\,b^2\,e^3}{12}+a\,c\,d\,b\,e^3\right)+\frac{x\,\left(b^2\,c^2\,e^3+b^2\,e^3+4\,a\,b\,c^3\,e^3\right)}{4\,d}+\frac{a\,b\,d^2\,e^3\,x^4}{4}\right)+\frac{a^2\,d^3\,e^3\,x^4}{4}","Not used",1,"log(1 - d*x - c)^2*((b^2*c^3*e^3*x)/4 - (b^2*e^3 - b^2*c^4*e^3)/(16*d) + (b^2*d^3*e^3*x^4)/16 + (3*b^2*c^2*d*e^3*x^2)/8 + (b^2*c*d^2*e^3*x^3)/4) + x*((c*e^3*(b^2 - 6*a^2 + 20*a^2*c^2 + 6*a*b*c))/2 + ((6*c^2 - 6)*(2*a^2*c*d^2*e^3 - (a*d^2*e^3*(b + 10*a*c))/2))/(6*d^2) - (2*c*((2*c*(2*a^2*c*d^2*e^3 - (a*d^2*e^3*(b + 10*a*c))/2))/d + (d*e^3*(b^2 - 6*a^2 + 60*a^2*c^2 + 12*a*b*c))/6 - (a^2*d*e^3*(6*c^2 - 6))/6))/d) - log(1 - d*x - c)*(log(c + d*x + 1)*((b^2*c^3*e^3*x)/2 - ((b^2*e^3)/2 - (b^2*c^4*e^3)/2)/(4*d) + (b^2*d^3*e^3*x^4)/8 + (3*b^2*c^2*d*e^3*x^2)/4 + (b^2*c*d^2*e^3*x^3)/2) + (x^2*(((d*(c - 1) + d*(c + 1))*(32*b^2*c*d^4*e^3 - 8*b^2*d^3*e^3*(d*(c - 1) + d*(c + 1)) + 8*b^2*d^4*e^3*(c - 1)))/d^2 - 48*b^2*c^2*d^3*e^3 + 8*b^2*d^3*e^3*(c - 1)*(c + 1) - 32*b^2*c*d^3*e^3*(c - 1)))/(128*d^2) - (x^2*(((d*(c - 1) + d*(c + 1))*(32*b*d^4*e^3*(8*a*c - 2*a + b*c) - 8*b*d^3*e^3*(d*(c - 1) + d*(c + 1))*(8*a + b) + 8*b*d^4*e^3*(8*a + b)*(c + 1)))/d^2 - 48*b*c*d^3*e^3*(8*a*c - 4*a + b*c) - 32*b*d^3*e^3*(c + 1)*(8*a*c - 2*a + b*c) + 8*b*d^3*e^3*(8*a + b)*(c - 1)*(c + 1)))/(128*d^2) + (x^3*(32*b*d^4*e^3*(8*a*c - 2*a + b*c) - 8*b*d^3*e^3*(d*(c - 1) + d*(c + 1))*(8*a + b) + 8*b*d^4*e^3*(8*a + b)*(c + 1)))/(192*d^2) - (x^3*(32*b^2*c*d^4*e^3 - 8*b^2*d^3*e^3*(d*(c - 1) + d*(c + 1)) + 8*b^2*d^4*e^3*(c - 1)))/(192*d^2) + (x*(((d*(c - 1) + d*(c + 1))*(((d*(c - 1) + d*(c + 1))*(32*b*d^4*e^3*(8*a*c - 2*a + b*c) - 8*b*d^3*e^3*(d*(c - 1) + d*(c + 1))*(8*a + b) + 8*b*d^4*e^3*(8*a + b)*(c + 1)))/d^2 - 48*b*c*d^3*e^3*(8*a*c - 4*a + b*c) - 32*b*d^3*e^3*(c + 1)*(8*a*c - 2*a + b*c) + 8*b*d^3*e^3*(8*a + b)*(c - 1)*(c + 1)))/d^2 - ((c - 1)*(c + 1)*(32*b*d^4*e^3*(8*a*c - 2*a + b*c) - 8*b*d^3*e^3*(d*(c - 1) + d*(c + 1))*(8*a + b) + 8*b*d^4*e^3*(8*a + b)*(c + 1)))/d^2 + 32*b*c^2*d^2*e^3*(8*a*c - 6*a + b*c) + 48*b*c*d^2*e^3*(c + 1)*(8*a*c - 4*a + b*c)))/(64*d^2) - (x*(((d*(c - 1) + d*(c + 1))*(((d*(c - 1) + d*(c + 1))*(32*b^2*c*d^4*e^3 - 8*b^2*d^3*e^3*(d*(c - 1) + d*(c + 1)) + 8*b^2*d^4*e^3*(c - 1)))/d^2 - 48*b^2*c^2*d^3*e^3 + 8*b^2*d^3*e^3*(c - 1)*(c + 1) - 32*b^2*c*d^3*e^3*(c - 1)))/d^2 + 32*b^2*c^3*d^2*e^3 - ((c - 1)*(c + 1)*(32*b^2*c*d^4*e^3 - 8*b^2*d^3*e^3*(d*(c - 1) + d*(c + 1)) + 8*b^2*d^4*e^3*(c - 1)))/d^2 + 48*b^2*c^2*d^2*e^3*(c - 1)))/(64*d^2) - (b^2*d^3*e^3*x^4)/32 + (b*d^3*e^3*x^4*(8*a + b))/32) + x^2*((c*(2*a^2*c*d^2*e^3 - (a*d^2*e^3*(b + 10*a*c))/2))/d + (d*e^3*(b^2 - 6*a^2 + 60*a^2*c^2 + 12*a*b*c))/12 - (a^2*d*e^3*(6*c^2 - 6))/12) - x^3*((2*a^2*c*d^2*e^3)/3 - (a*d^2*e^3*(b + 10*a*c))/6) + log(c + d*x + 1)^2*((b^2*c^3*e^3*x)/4 - (b^2*e^3 - b^2*c^4*e^3)/(16*d) + (b^2*d^3*e^3*x^4)/16 + (3*b^2*c^2*d*e^3*x^2)/8 + (b^2*c*d^2*e^3*x^3)/4) - (log(c + d*x - 1)*(3*b^2*c*e^3 - 4*b^2*e^3 + b^2*c^3*e^3 - 3*a*b*e^3 + 3*a*b*c^4*e^3))/(12*d) + (log(c + d*x + 1)*(4*b^2*e^3 + 3*b^2*c*e^3 + b^2*c^3*e^3 - 3*a*b*e^3 + 3*a*b*c^4*e^3))/(12*d) + d*log(c + d*x + 1)*(x^2*((b^2*c*e^3)/4 + (3*a*b*c^2*e^3)/2) + x^3*((b^2*d*e^3)/12 + a*b*c*d*e^3) + (x*(b^2*e^3 + b^2*c^2*e^3 + 4*a*b*c^3*e^3))/(4*d) + (a*b*d^2*e^3*x^4)/4) + (a^2*d^3*e^3*x^4)/4","B"
16,0,-1,179,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atanh(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*atanh(c + d*x))^2, x)","F"
17,1,432,95,1.562609,"\text{Not used}","int((c*e + d*e*x)*(a + b*atanh(c + d*x))^2,x)","x\,\left(a\,e\,\left(b+3\,a\,c\right)-2\,a^2\,c\,e\right)+{\ln\left(1-d\,x-c\right)}^2\,\left(\frac{b^2\,c\,e\,x}{4}-\frac{b^2\,e-b^2\,c^2\,e}{8\,d}+\frac{b^2\,d\,e\,x^2}{8}\right)-\ln\left(1-d\,x-c\right)\,\left(\ln\left(c+d\,x+1\right)\,\left(\frac{b^2\,c\,e\,x}{2}-\frac{\frac{b^2\,e}{2}-\frac{b^2\,c^2\,e}{2}}{2\,d}+\frac{b^2\,d\,e\,x^2}{4}\right)-\frac{x\,\left(4\,b^2\,d^2\,e\,\left(c-1\right)-4\,b^2\,d\,e\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)+8\,b^2\,c\,d^2\,e\right)}{16\,d^2}+\frac{x\,\left(8\,b\,d^2\,e\,\left(4\,a\,c-2\,a+b\,c\right)+4\,b\,d^2\,e\,\left(4\,a+b\right)\,\left(c+1\right)-4\,b\,d\,e\,\left(d\,\left(c-1\right)+d\,\left(c+1\right)\right)\,\left(4\,a+b\right)\right)}{16\,d^2}-\frac{b^2\,d\,e\,x^2}{8}+\frac{b\,d\,e\,x^2\,\left(4\,a+b\right)}{8}\right)+{\ln\left(c+d\,x+1\right)}^2\,\left(\frac{b^2\,c\,e\,x}{4}-\frac{b^2\,e-b^2\,c^2\,e}{8\,d}+\frac{b^2\,d\,e\,x^2}{8}\right)+\frac{\ln\left(c+d\,x+1\right)\,\left(e\,b^2\,c+e\,b^2+a\,e\,b\,c^2-a\,e\,b\right)}{2\,d}+\frac{\ln\left(c+d\,x-1\right)\,\left(-e\,b^2\,c+e\,b^2-a\,e\,b\,c^2+a\,e\,b\right)}{2\,d}+d\,\ln\left(c+d\,x+1\right)\,\left(\frac{x\,\left(e\,b^2+2\,a\,c\,e\,b\right)}{2\,d}+\frac{a\,b\,e\,x^2}{2}\right)+\frac{a^2\,d\,e\,x^2}{2}","Not used",1,"x*(a*e*(b + 3*a*c) - 2*a^2*c*e) + log(1 - d*x - c)^2*((b^2*c*e*x)/4 - (b^2*e - b^2*c^2*e)/(8*d) + (b^2*d*e*x^2)/8) - log(1 - d*x - c)*(log(c + d*x + 1)*((b^2*c*e*x)/2 - ((b^2*e)/2 - (b^2*c^2*e)/2)/(2*d) + (b^2*d*e*x^2)/4) - (x*(4*b^2*d^2*e*(c - 1) - 4*b^2*d*e*(d*(c - 1) + d*(c + 1)) + 8*b^2*c*d^2*e))/(16*d^2) + (x*(8*b*d^2*e*(4*a*c - 2*a + b*c) + 4*b*d^2*e*(4*a + b)*(c + 1) - 4*b*d*e*(d*(c - 1) + d*(c + 1))*(4*a + b)))/(16*d^2) - (b^2*d*e*x^2)/8 + (b*d*e*x^2*(4*a + b))/8) + log(c + d*x + 1)^2*((b^2*c*e*x)/4 - (b^2*e - b^2*c^2*e)/(8*d) + (b^2*d*e*x^2)/8) + (log(c + d*x + 1)*(b^2*e - a*b*e + b^2*c*e + a*b*c^2*e))/(2*d) + (log(c + d*x - 1)*(b^2*e + a*b*e - b^2*c*e - a*b*c^2*e))/(2*d) + d*log(c + d*x + 1)*((x*(b^2*e + 2*a*b*c*e))/(2*d) + (a*b*e*x^2)/2) + (a^2*d*e*x^2)/2","B"
18,0,-1,168,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(c*e + d*e*x), x)","F"
19,0,-1,104,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^2, x)","F"
20,1,776,119,2.418202,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^3,x)","{\ln\left(1-d\,x-c\right)}^2\,\left(\frac{b^2}{8\,d\,e^3}-\frac{b^2}{2\,d\,\left(4\,c^2\,e^3+8\,c\,d\,e^3\,x+4\,d^2\,e^3\,x^2\right)}\right)+{\ln\left(c+d\,x+1\right)}^2\,\left(\frac{b^2}{8\,d\,e^3}-\frac{b^2}{8\,d^2\,e^3\,\left(2\,c\,x+d\,x^2+\frac{c^2}{d}\right)}\right)+\ln\left(1-d\,x-c\right)\,\left(\ln\left(c+d\,x+1\right)\,\left(\frac{b^2}{2\,d\,\left(2\,c^2\,e^3+4\,c\,d\,e^3\,x+2\,d^2\,e^3\,x^2\right)}-\frac{b^2\,\left(c^2+2\,c\,d\,x+d^2\,x^2\right)}{2\,d\,\left(2\,c^2\,e^3+4\,c\,d\,e^3\,x+2\,d^2\,e^3\,x^2\right)}\right)+\frac{b^2}{2\,d\,\left(4\,c^2\,e^3+8\,c\,d\,e^3\,x+4\,d^2\,e^3\,x^2\right)}+\frac{b\,\left(4\,a-b\right)}{2\,d\,\left(4\,c^2\,e^3+8\,c\,d\,e^3\,x+4\,d^2\,e^3\,x^2\right)}-\frac{b^2\,\left(x\,\left(4\,c\,d-d+d\,\left(2\,c-1\right)\right)-c+c^2+c\,\left(2\,c-1\right)+3\,d^2\,x^2+1\right)}{2\,d\,\left(4\,c^2\,e^3+8\,c\,d\,e^3\,x+4\,d^2\,e^3\,x^2\right)}+\frac{b^2\,\left(x\,\left(2\,d\,e^3+d\,\left(4\,c\,e^3+2\,e^3\right)+8\,c\,d\,e^3\right)+2\,c\,e^3+2\,e^3+c\,\left(4\,c\,e^3+2\,e^3\right)+2\,c^2\,e^3+6\,d^2\,e^3\,x^2\right)}{4\,d\,e^3\,\left(4\,c^2\,e^3+8\,c\,d\,e^3\,x+4\,d^2\,e^3\,x^2\right)}\right)-\frac{\frac{a^2+2\,b\,c\,a}{2\,d}+a\,b\,x}{c^2\,e^3+2\,c\,d\,e^3\,x+d^2\,e^3\,x^2}-\frac{\ln\left(c+d\,x+1\right)\,\left(x\,\left(\frac{2\,b^2\,c+b^2}{4\,d\,e^3}+\frac{b^2\,c}{4\,d\,e^3}-\frac{b^2\,\left(3\,c-1\right)}{4\,d\,e^3}\right)+\frac{b^2\,c^2+b^2\,c+b^2+4\,a\,b}{8\,d^2\,e^3}-\frac{b^2\,\left(\frac{c^2-c+1}{2\,d}+\frac{c\,\left(2\,c-1\right)}{2\,d}\right)}{4\,d\,e^3}+\frac{c\,\left(2\,b^2\,c+b^2\right)}{8\,d^2\,e^3}\right)}{2\,c\,x+d\,x^2+\frac{c^2}{d}}+\frac{b^2\,\ln\left(c+d\,x\right)}{d\,e^3}-\frac{\ln\left(c+d\,x-1\right)\,\left(b^2+a\,b\right)}{2\,d\,e^3}+\frac{\ln\left(c+d\,x+1\right)\,\left(a\,b-b^2\right)}{2\,d\,e^3}","Not used",1,"log(1 - d*x - c)^2*(b^2/(8*d*e^3) - b^2/(2*d*(4*c^2*e^3 + 4*d^2*e^3*x^2 + 8*c*d*e^3*x))) + log(c + d*x + 1)^2*(b^2/(8*d*e^3) - b^2/(8*d^2*e^3*(2*c*x + d*x^2 + c^2/d))) + log(1 - d*x - c)*(log(c + d*x + 1)*(b^2/(2*d*(2*c^2*e^3 + 2*d^2*e^3*x^2 + 4*c*d*e^3*x)) - (b^2*(c^2 + d^2*x^2 + 2*c*d*x))/(2*d*(2*c^2*e^3 + 2*d^2*e^3*x^2 + 4*c*d*e^3*x))) + b^2/(2*d*(4*c^2*e^3 + 4*d^2*e^3*x^2 + 8*c*d*e^3*x)) + (b*(4*a - b))/(2*d*(4*c^2*e^3 + 4*d^2*e^3*x^2 + 8*c*d*e^3*x)) - (b^2*(x*(4*c*d - d + d*(2*c - 1)) - c + c^2 + c*(2*c - 1) + 3*d^2*x^2 + 1))/(2*d*(4*c^2*e^3 + 4*d^2*e^3*x^2 + 8*c*d*e^3*x)) + (b^2*(x*(2*d*e^3 + d*(4*c*e^3 + 2*e^3) + 8*c*d*e^3) + 2*c*e^3 + 2*e^3 + c*(4*c*e^3 + 2*e^3) + 2*c^2*e^3 + 6*d^2*e^3*x^2))/(4*d*e^3*(4*c^2*e^3 + 4*d^2*e^3*x^2 + 8*c*d*e^3*x))) - ((a^2 + 2*a*b*c)/(2*d) + a*b*x)/(c^2*e^3 + d^2*e^3*x^2 + 2*c*d*e^3*x) - (log(c + d*x + 1)*(x*((2*b^2*c + b^2)/(4*d*e^3) + (b^2*c)/(4*d*e^3) - (b^2*(3*c - 1))/(4*d*e^3)) + (4*a*b + b^2*c + b^2 + b^2*c^2)/(8*d^2*e^3) - (b^2*((c^2 - c + 1)/(2*d) + (c*(2*c - 1))/(2*d)))/(4*d*e^3) + (c*(2*b^2*c + b^2))/(8*d^2*e^3)))/(2*c*x + d*x^2 + c^2/d) + (b^2*log(c + d*x))/(d*e^3) - (log(c + d*x - 1)*(a*b + b^2))/(2*d*e^3) + (log(c + d*x + 1)*(a*b - b^2))/(2*d*e^3)","B"
21,0,-1,180,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^4, x)","F"
22,1,2746,172,3.424107,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(c*e + d*e*x)^5,x)","{\ln\left(1-d\,x-c\right)}^2\,\left(\frac{b^2}{16\,d\,e^5}-\frac{b^2}{4\,d\,\left(4\,c^4\,e^5+16\,c^3\,d\,e^5\,x+24\,c^2\,d^2\,e^5\,x^2+16\,c\,d^3\,e^5\,x^3+4\,d^4\,e^5\,x^4\right)}\right)+{\ln\left(c+d\,x+1\right)}^2\,\left(\frac{b^2}{16\,d\,e^5}-\frac{b^2}{16\,d^2\,e^5\,\left(4\,c^3\,x+\frac{c^4}{d}+d^3\,x^4+6\,c^2\,d\,x^2+4\,c\,d^2\,x^3\right)}\right)+\ln\left(1-d\,x-c\right)\,\left(\ln\left(c+d\,x+1\right)\,\left(\frac{b^2}{4\,d\,\left(2\,c^4\,e^5+8\,c^3\,d\,e^5\,x+12\,c^2\,d^2\,e^5\,x^2+8\,c\,d^3\,e^5\,x^3+2\,d^4\,e^5\,x^4\right)}-\frac{b^2\,\left(c^4+4\,c^3\,d\,x+6\,c^2\,d^2\,x^2+4\,c\,d^3\,x^3+d^4\,x^4\right)}{4\,d\,\left(2\,c^4\,e^5+8\,c^3\,d\,e^5\,x+12\,c^2\,d^2\,e^5\,x^2+8\,c\,d^3\,e^5\,x^3+2\,d^4\,e^5\,x^4\right)}\right)+\frac{3\,b^2}{4\,d\,\left(24\,c^4\,e^5+96\,c^3\,d\,e^5\,x+144\,c^2\,d^2\,e^5\,x^2+96\,c\,d^3\,e^5\,x^3+24\,d^4\,e^5\,x^4\right)}+\frac{3\,b\,\left(8\,a-b\right)}{4\,d\,\left(24\,c^4\,e^5+96\,c^3\,d\,e^5\,x+144\,c^2\,d^2\,e^5\,x^2+96\,c\,d^3\,e^5\,x^3+24\,d^4\,e^5\,x^4\right)}-\frac{b^2\,\left(c\,\left(2\,c-3\,c^2+4\,c^3+c\,\left(6\,c^2-3\,c+c\,\left(12\,c-3\right)+1\right)-1\right)-3\,c+x^2\,\left(d\,\left(2\,d-6\,c\,d+12\,c^2\,d+d\,\left(6\,c^2-3\,c+c\,\left(12\,c-3\right)+1\right)+c\,\left(24\,c\,d-3\,d+d\,\left(12\,c-3\right)\right)\right)-9\,c\,d^2+c\,\left(30\,c\,d^2-3\,d^2+d\,\left(24\,c\,d-3\,d+d\,\left(12\,c-3\right)\right)\right)+3\,d^2+18\,c^2\,d^2\right)+x\,\left(d\,\left(2\,c-3\,c^2+4\,c^3+c\,\left(6\,c^2-3\,c+c\,\left(12\,c-3\right)+1\right)-1\right)-3\,d+6\,c\,d+c\,\left(2\,d-6\,c\,d+12\,c^2\,d+d\,\left(6\,c^2-3\,c+c\,\left(12\,c-3\right)+1\right)+c\,\left(24\,c\,d-3\,d+d\,\left(12\,c-3\right)\right)\right)-9\,c^2\,d+12\,c^3\,d\right)+3\,c^2-3\,c^3+3\,c^4+25\,d^4\,x^4+x^3\,\left(34\,c\,d^3+d\,\left(30\,c\,d^2-3\,d^2+d\,\left(24\,c\,d-3\,d+d\,\left(12\,c-3\right)\right)\right)-3\,d^3\right)+3\right)}{4\,d\,\left(24\,c^4\,e^5+96\,c^3\,d\,e^5\,x+144\,c^2\,d^2\,e^5\,x^2+96\,c\,d^3\,e^5\,x^3+24\,d^4\,e^5\,x^4\right)}+\frac{b^2\,\left(c\,\left(c\,\left(6\,c\,e^5+2\,e^5+c\,\left(24\,c\,e^5+6\,e^5\right)+12\,c^2\,e^5\right)+4\,c\,e^5+2\,e^5+6\,c^2\,e^5+8\,c^3\,e^5\right)+x\,\left(d\,\left(c\,\left(6\,c\,e^5+2\,e^5+c\,\left(24\,c\,e^5+6\,e^5\right)+12\,c^2\,e^5\right)+4\,c\,e^5+2\,e^5+6\,c^2\,e^5+8\,c^3\,e^5\right)+6\,d\,e^5+c\,\left(c\,\left(6\,d\,e^5+d\,\left(24\,c\,e^5+6\,e^5\right)+48\,c\,d\,e^5\right)+d\,\left(6\,c\,e^5+2\,e^5+c\,\left(24\,c\,e^5+6\,e^5\right)+12\,c^2\,e^5\right)+4\,d\,e^5+24\,c^2\,d\,e^5+12\,c\,d\,e^5\right)+18\,c^2\,d\,e^5+24\,c^3\,d\,e^5+12\,c\,d\,e^5\right)+x^3\,\left(d\,\left(d\,\left(6\,d\,e^5+d\,\left(24\,c\,e^5+6\,e^5\right)+48\,c\,d\,e^5\right)+6\,d^2\,e^5+60\,c\,d^2\,e^5\right)+6\,d^3\,e^5+68\,c\,d^3\,e^5\right)+6\,c\,e^5+6\,e^5+6\,c^2\,e^5+6\,c^3\,e^5+6\,c^4\,e^5+x^2\,\left(c\,\left(d\,\left(6\,d\,e^5+d\,\left(24\,c\,e^5+6\,e^5\right)+48\,c\,d\,e^5\right)+6\,d^2\,e^5+60\,c\,d^2\,e^5\right)+d\,\left(c\,\left(6\,d\,e^5+d\,\left(24\,c\,e^5+6\,e^5\right)+48\,c\,d\,e^5\right)+d\,\left(6\,c\,e^5+2\,e^5+c\,\left(24\,c\,e^5+6\,e^5\right)+12\,c^2\,e^5\right)+4\,d\,e^5+24\,c^2\,d\,e^5+12\,c\,d\,e^5\right)+6\,d^2\,e^5+18\,c\,d^2\,e^5+36\,c^2\,d^2\,e^5\right)+50\,d^4\,e^5\,x^4\right)}{8\,d\,e^5\,\left(24\,c^4\,e^5+96\,c^3\,d\,e^5\,x+144\,c^2\,d^2\,e^5\,x^2+96\,c\,d^3\,e^5\,x^3+24\,d^4\,e^5\,x^4\right)}\right)-\frac{x^2\,\left(\frac{d\,b^2}{2}+9\,a\,c\,d\,b\right)+x\,\left(b^2\,c+9\,a\,b\,c^2+a\,b\right)+\frac{3\,a^2+6\,a\,b\,c^3+2\,a\,b\,c+b^2\,c^2}{2\,d}+3\,a\,b\,d^2\,x^3}{6\,c^4\,e^5+24\,c^3\,d\,e^5\,x+36\,c^2\,d^2\,e^5\,x^2+24\,c\,d^3\,e^5\,x^3+6\,d^4\,e^5\,x^4}-\frac{\ln\left(c+d\,x+1\right)\,\left(x^2\,\left(\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{32\,e^5}+d\,\left(d\,\left(\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{96\,d^2\,e^5}+\frac{c\,\left(4\,b^2\,c+b^2\right)}{32\,d^2\,e^5}\right)+c\,\left(\frac{4\,b^2\,c+b^2}{16\,d\,e^5}+\frac{b^2\,c}{8\,d\,e^5}\right)+\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{48\,d\,e^5}\right)+c\,\left(d\,\left(\frac{4\,b^2\,c+b^2}{16\,d\,e^5}+\frac{b^2\,c}{8\,d\,e^5}\right)+\frac{4\,b^2\,c+b^2}{32\,e^5}+\frac{3\,b^2\,c}{16\,e^5}\right)-\frac{b^2\,\left(\frac{d}{4}-\frac{3\,c\,d}{4}+\frac{3\,c^2\,d}{2}+d\,\left(d\,\left(\frac{6\,c^2-3\,c+1}{12\,d}+\frac{c\,\left(4\,c-1\right)}{4\,d}\right)-\frac{c}{2}+c^2+c\,\left(3\,c-\frac{1}{2}\right)+\frac{1}{6}\right)+c\,\left(\frac{5\,c\,d}{2}-\frac{d}{4}+d\,\left(3\,c-\frac{1}{2}\right)\right)\right)}{8\,d\,e^5}\right)+x\,\left(c\,\left(d\,\left(\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{96\,d^2\,e^5}+\frac{c\,\left(4\,b^2\,c+b^2\right)}{32\,d^2\,e^5}\right)+c\,\left(\frac{4\,b^2\,c+b^2}{16\,d\,e^5}+\frac{b^2\,c}{8\,d\,e^5}\right)+\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{48\,d\,e^5}\right)+d\,\left(c\,\left(\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{96\,d^2\,e^5}+\frac{c\,\left(4\,b^2\,c+b^2\right)}{32\,d^2\,e^5}\right)+\frac{4\,b^2\,c^3+3\,b^2\,c^2+2\,b^2\,c+b^2}{96\,d^2\,e^5}\right)+\frac{4\,b^2\,c^3+3\,b^2\,c^2+2\,b^2\,c+b^2}{32\,d\,e^5}-\frac{b^2\,\left(\frac{c}{2}+c\,\left(d\,\left(\frac{6\,c^2-3\,c+1}{12\,d}+\frac{c\,\left(4\,c-1\right)}{4\,d}\right)-\frac{c}{2}+c^2+c\,\left(3\,c-\frac{1}{2}\right)+\frac{1}{6}\right)-\frac{3\,c^2}{4}+c^3+d\,\left(c\,\left(\frac{6\,c^2-3\,c+1}{12\,d}+\frac{c\,\left(4\,c-1\right)}{4\,d}\right)+\frac{4\,c^3-3\,c^2+2\,c-1}{12\,d}\right)-\frac{1}{4}\right)}{8\,d\,e^5}\right)+x^3\,\left(d\,\left(d\,\left(\frac{4\,b^2\,c+b^2}{16\,d\,e^5}+\frac{b^2\,c}{8\,d\,e^5}\right)+\frac{4\,b^2\,c+b^2}{32\,e^5}+\frac{3\,b^2\,c}{16\,e^5}\right)+\frac{b^2\,d+4\,b^2\,c\,d}{32\,e^5}-\frac{b^2\,\left(\frac{17\,c\,d^2}{6}-\frac{d^2}{4}+d\,\left(\frac{5\,c\,d}{2}-\frac{d}{4}+d\,\left(3\,c-\frac{1}{2}\right)\right)\right)}{8\,d\,e^5}+\frac{11\,b^2\,c\,d}{48\,e^5}\right)+c\,\left(c\,\left(\frac{6\,b^2\,c^2+3\,b^2\,c+b^2}{96\,d^2\,e^5}+\frac{c\,\left(4\,b^2\,c+b^2\right)}{32\,d^2\,e^5}\right)+\frac{4\,b^2\,c^3+3\,b^2\,c^2+2\,b^2\,c+b^2}{96\,d^2\,e^5}\right)+\frac{b^2\,c^4+b^2\,c^3+b^2\,c^2+b^2\,c+b^2+8\,a\,b}{32\,d^2\,e^5}-\frac{b^2\,\left(c\,\left(c\,\left(\frac{6\,c^2-3\,c+1}{12\,d}+\frac{c\,\left(4\,c-1\right)}{4\,d}\right)+\frac{4\,c^3-3\,c^2+2\,c-1}{12\,d}\right)+\frac{c^4-c^3+c^2-c+1}{4\,d}\right)}{8\,d\,e^5}\right)}{4\,c^3\,x+\frac{c^4}{d}+d^3\,x^4+6\,c^2\,d\,x^2+4\,c\,d^2\,x^3}+\frac{2\,b^2\,\ln\left(c+d\,x\right)}{3\,d\,e^5}-\frac{\ln\left(c+d\,x-1\right)\,\left(4\,b^2+3\,a\,b\right)}{12\,d\,e^5}+\frac{\ln\left(c+d\,x+1\right)\,\left(3\,a\,b-4\,b^2\right)}{12\,d\,e^5}","Not used",1,"log(1 - d*x - c)^2*(b^2/(16*d*e^5) - b^2/(4*d*(4*c^4*e^5 + 4*d^4*e^5*x^4 + 16*c*d^3*e^5*x^3 + 24*c^2*d^2*e^5*x^2 + 16*c^3*d*e^5*x))) + log(c + d*x + 1)^2*(b^2/(16*d*e^5) - b^2/(16*d^2*e^5*(4*c^3*x + c^4/d + d^3*x^4 + 6*c^2*d*x^2 + 4*c*d^2*x^3))) + log(1 - d*x - c)*(log(c + d*x + 1)*(b^2/(4*d*(2*c^4*e^5 + 2*d^4*e^5*x^4 + 8*c*d^3*e^5*x^3 + 12*c^2*d^2*e^5*x^2 + 8*c^3*d*e^5*x)) - (b^2*(c^4 + d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x))/(4*d*(2*c^4*e^5 + 2*d^4*e^5*x^4 + 8*c*d^3*e^5*x^3 + 12*c^2*d^2*e^5*x^2 + 8*c^3*d*e^5*x))) + (3*b^2)/(4*d*(24*c^4*e^5 + 24*d^4*e^5*x^4 + 96*c*d^3*e^5*x^3 + 144*c^2*d^2*e^5*x^2 + 96*c^3*d*e^5*x)) + (3*b*(8*a - b))/(4*d*(24*c^4*e^5 + 24*d^4*e^5*x^4 + 96*c*d^3*e^5*x^3 + 144*c^2*d^2*e^5*x^2 + 96*c^3*d*e^5*x)) - (b^2*(c*(2*c - 3*c^2 + 4*c^3 + c*(6*c^2 - 3*c + c*(12*c - 3) + 1) - 1) - 3*c + x^2*(d*(2*d - 6*c*d + 12*c^2*d + d*(6*c^2 - 3*c + c*(12*c - 3) + 1) + c*(24*c*d - 3*d + d*(12*c - 3))) - 9*c*d^2 + c*(30*c*d^2 - 3*d^2 + d*(24*c*d - 3*d + d*(12*c - 3))) + 3*d^2 + 18*c^2*d^2) + x*(d*(2*c - 3*c^2 + 4*c^3 + c*(6*c^2 - 3*c + c*(12*c - 3) + 1) - 1) - 3*d + 6*c*d + c*(2*d - 6*c*d + 12*c^2*d + d*(6*c^2 - 3*c + c*(12*c - 3) + 1) + c*(24*c*d - 3*d + d*(12*c - 3))) - 9*c^2*d + 12*c^3*d) + 3*c^2 - 3*c^3 + 3*c^4 + 25*d^4*x^4 + x^3*(34*c*d^3 + d*(30*c*d^2 - 3*d^2 + d*(24*c*d - 3*d + d*(12*c - 3))) - 3*d^3) + 3))/(4*d*(24*c^4*e^5 + 24*d^4*e^5*x^4 + 96*c*d^3*e^5*x^3 + 144*c^2*d^2*e^5*x^2 + 96*c^3*d*e^5*x)) + (b^2*(c*(c*(6*c*e^5 + 2*e^5 + c*(24*c*e^5 + 6*e^5) + 12*c^2*e^5) + 4*c*e^5 + 2*e^5 + 6*c^2*e^5 + 8*c^3*e^5) + x*(d*(c*(6*c*e^5 + 2*e^5 + c*(24*c*e^5 + 6*e^5) + 12*c^2*e^5) + 4*c*e^5 + 2*e^5 + 6*c^2*e^5 + 8*c^3*e^5) + 6*d*e^5 + c*(c*(6*d*e^5 + d*(24*c*e^5 + 6*e^5) + 48*c*d*e^5) + d*(6*c*e^5 + 2*e^5 + c*(24*c*e^5 + 6*e^5) + 12*c^2*e^5) + 4*d*e^5 + 24*c^2*d*e^5 + 12*c*d*e^5) + 18*c^2*d*e^5 + 24*c^3*d*e^5 + 12*c*d*e^5) + x^3*(d*(d*(6*d*e^5 + d*(24*c*e^5 + 6*e^5) + 48*c*d*e^5) + 6*d^2*e^5 + 60*c*d^2*e^5) + 6*d^3*e^5 + 68*c*d^3*e^5) + 6*c*e^5 + 6*e^5 + 6*c^2*e^5 + 6*c^3*e^5 + 6*c^4*e^5 + x^2*(c*(d*(6*d*e^5 + d*(24*c*e^5 + 6*e^5) + 48*c*d*e^5) + 6*d^2*e^5 + 60*c*d^2*e^5) + d*(c*(6*d*e^5 + d*(24*c*e^5 + 6*e^5) + 48*c*d*e^5) + d*(6*c*e^5 + 2*e^5 + c*(24*c*e^5 + 6*e^5) + 12*c^2*e^5) + 4*d*e^5 + 24*c^2*d*e^5 + 12*c*d*e^5) + 6*d^2*e^5 + 18*c*d^2*e^5 + 36*c^2*d^2*e^5) + 50*d^4*e^5*x^4))/(8*d*e^5*(24*c^4*e^5 + 24*d^4*e^5*x^4 + 96*c*d^3*e^5*x^3 + 144*c^2*d^2*e^5*x^2 + 96*c^3*d*e^5*x))) - (x^2*((b^2*d)/2 + 9*a*b*c*d) + x*(a*b + b^2*c + 9*a*b*c^2) + (3*a^2 + b^2*c^2 + 2*a*b*c + 6*a*b*c^3)/(2*d) + 3*a*b*d^2*x^3)/(6*c^4*e^5 + 6*d^4*e^5*x^4 + 24*c*d^3*e^5*x^3 + 36*c^2*d^2*e^5*x^2 + 24*c^3*d*e^5*x) - (log(c + d*x + 1)*(x^2*((3*b^2*c + b^2 + 6*b^2*c^2)/(32*e^5) + d*(d*((3*b^2*c + b^2 + 6*b^2*c^2)/(96*d^2*e^5) + (c*(4*b^2*c + b^2))/(32*d^2*e^5)) + c*((4*b^2*c + b^2)/(16*d*e^5) + (b^2*c)/(8*d*e^5)) + (3*b^2*c + b^2 + 6*b^2*c^2)/(48*d*e^5)) + c*(d*((4*b^2*c + b^2)/(16*d*e^5) + (b^2*c)/(8*d*e^5)) + (4*b^2*c + b^2)/(32*e^5) + (3*b^2*c)/(16*e^5)) - (b^2*(d/4 - (3*c*d)/4 + (3*c^2*d)/2 + d*(d*((6*c^2 - 3*c + 1)/(12*d) + (c*(4*c - 1))/(4*d)) - c/2 + c^2 + c*(3*c - 1/2) + 1/6) + c*((5*c*d)/2 - d/4 + d*(3*c - 1/2))))/(8*d*e^5)) + x*(c*(d*((3*b^2*c + b^2 + 6*b^2*c^2)/(96*d^2*e^5) + (c*(4*b^2*c + b^2))/(32*d^2*e^5)) + c*((4*b^2*c + b^2)/(16*d*e^5) + (b^2*c)/(8*d*e^5)) + (3*b^2*c + b^2 + 6*b^2*c^2)/(48*d*e^5)) + d*(c*((3*b^2*c + b^2 + 6*b^2*c^2)/(96*d^2*e^5) + (c*(4*b^2*c + b^2))/(32*d^2*e^5)) + (2*b^2*c + b^2 + 3*b^2*c^2 + 4*b^2*c^3)/(96*d^2*e^5)) + (2*b^2*c + b^2 + 3*b^2*c^2 + 4*b^2*c^3)/(32*d*e^5) - (b^2*(c/2 + c*(d*((6*c^2 - 3*c + 1)/(12*d) + (c*(4*c - 1))/(4*d)) - c/2 + c^2 + c*(3*c - 1/2) + 1/6) - (3*c^2)/4 + c^3 + d*(c*((6*c^2 - 3*c + 1)/(12*d) + (c*(4*c - 1))/(4*d)) + (2*c - 3*c^2 + 4*c^3 - 1)/(12*d)) - 1/4))/(8*d*e^5)) + x^3*(d*(d*((4*b^2*c + b^2)/(16*d*e^5) + (b^2*c)/(8*d*e^5)) + (4*b^2*c + b^2)/(32*e^5) + (3*b^2*c)/(16*e^5)) + (b^2*d + 4*b^2*c*d)/(32*e^5) - (b^2*((17*c*d^2)/6 - d^2/4 + d*((5*c*d)/2 - d/4 + d*(3*c - 1/2))))/(8*d*e^5) + (11*b^2*c*d)/(48*e^5)) + c*(c*((3*b^2*c + b^2 + 6*b^2*c^2)/(96*d^2*e^5) + (c*(4*b^2*c + b^2))/(32*d^2*e^5)) + (2*b^2*c + b^2 + 3*b^2*c^2 + 4*b^2*c^3)/(96*d^2*e^5)) + (8*a*b + b^2*c + b^2 + b^2*c^2 + b^2*c^3 + b^2*c^4)/(32*d^2*e^5) - (b^2*(c*(c*((6*c^2 - 3*c + 1)/(12*d) + (c*(4*c - 1))/(4*d)) + (2*c - 3*c^2 + 4*c^3 - 1)/(12*d)) + (c^2 - c - c^3 + c^4 + 1)/(4*d)))/(8*d*e^5)))/(4*c^3*x + c^4/d + d^3*x^4 + 6*c^2*d*x^2 + 4*c*d^2*x^3) + (2*b^2*log(c + d*x))/(3*d*e^5) - (log(c + d*x - 1)*(3*a*b + 4*b^2))/(12*d*e^5) + (log(c + d*x + 1)*(3*a*b - 4*b^2))/(12*d*e^5)","B"
23,0,-1,263,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atanh(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*atanh(c + d*x))^3, x)","F"
24,0,-1,160,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*atanh(c + d*x))^3,x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*atanh(c + d*x))^3, x)","F"
25,0,-1,257,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(c*e + d*e*x), x)","F"
26,0,-1,143,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^2, x)","F"
27,0,-1,166,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^3, x)","F"
28,0,-1,269,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(c*e + d*e*x)^4, x)","F"
29,0,-1,21,0.000000,"\text{Not used}","int(atanh(x + 1)/(2*x + 2),x)","\int \frac{\mathrm{atanh}\left(x+1\right)}{2\,x+2} \,d x","Not used",1,"int(atanh(x + 1)/(2*x + 2), x)","F"
30,0,-1,32,0.000000,"\text{Not used}","int(atanh(a + b*x)/(d*x + (a*d)/b),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{d\,x+\frac{a\,d}{b}} \,d x","Not used",1,"int(atanh(a + b*x)/(d*x + (a*d)/b), x)","F"
31,1,737,168,1.723549,"\text{Not used}","int((e + f*x)^3*(a + b*atanh(c + d*x)),x)","\ln\left(c+d\,x+1\right)\,\left(\frac{b\,e^3\,x}{2}+\frac{3\,b\,e^2\,f\,x^2}{4}+\frac{b\,e\,f^2\,x^3}{2}+\frac{b\,f^3\,x^4}{8}\right)-\ln\left(1-d\,x-c\right)\,\left(\frac{b\,e^3\,x}{2}+\frac{3\,b\,e^2\,f\,x^2}{4}+\frac{b\,e\,f^2\,x^3}{2}+\frac{b\,f^3\,x^4}{8}\right)+x\,\left(\frac{e\,\left(6\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+2\,a\,d^2\,e^2+3\,b\,d\,e\,f-6\,a\,f^2\right)}{2\,d^2}-\frac{\left(4\,c^2-4\right)\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{4\,d^2}+\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f+4\,b\,d\,e\,f^2-4\,a\,f^3}{4\,d^2}+\frac{a\,f^3\,\left(4\,c^2-4\right)}{4\,d^2}\right)}{d}\right)-x^2\,\left(\frac{c\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f+4\,b\,d\,e\,f^2-4\,a\,f^3}{8\,d^2}+\frac{a\,f^3\,\left(4\,c^2-4\right)}{8\,d^2}\right)+x^3\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{12\,d}-\frac{2\,a\,c\,f^3}{3\,d}\right)+\frac{a\,f^3\,x^4}{4}+\frac{\ln\left(c+d\,x-1\right)\,\left(b\,c^4\,f^3-4\,b\,c^3\,d\,e\,f^2-4\,b\,c^3\,f^3+6\,b\,c^2\,d^2\,e^2\,f+12\,b\,c^2\,d\,e\,f^2+6\,b\,c^2\,f^3-4\,b\,c\,d^3\,e^3-12\,b\,c\,d^2\,e^2\,f-12\,b\,c\,d\,e\,f^2-4\,b\,c\,f^3+4\,b\,d^3\,e^3+6\,b\,d^2\,e^2\,f+4\,b\,d\,e\,f^2+b\,f^3\right)}{8\,d^4}-\frac{\ln\left(c+d\,x+1\right)\,\left(b\,c^4\,f^3-4\,b\,c^3\,d\,e\,f^2+4\,b\,c^3\,f^3+6\,b\,c^2\,d^2\,e^2\,f-12\,b\,c^2\,d\,e\,f^2+6\,b\,c^2\,f^3-4\,b\,c\,d^3\,e^3+12\,b\,c\,d^2\,e^2\,f-12\,b\,c\,d\,e\,f^2+4\,b\,c\,f^3-4\,b\,d^3\,e^3+6\,b\,d^2\,e^2\,f-4\,b\,d\,e\,f^2+b\,f^3\right)}{8\,d^4}","Not used",1,"log(c + d*x + 1)*((b*f^3*x^4)/8 + (b*e^3*x)/2 + (3*b*e^2*f*x^2)/4 + (b*e*f^2*x^3)/2) - log(1 - d*x - c)*((b*f^3*x^4)/8 + (b*e^3*x)/2 + (3*b*e^2*f*x^2)/4 + (b*e*f^2*x^3)/2) + x*((e*(6*a*c^2*f^2 - 6*a*f^2 + 2*a*d^2*e^2 + 3*b*d*e*f + 12*a*c*d*e*f))/(2*d^2) - ((4*c^2 - 4)*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/(4*d^2) + (2*c*((2*c*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*c^2*f^3 - 4*a*f^3 + 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(4*d^2) + (a*f^3*(4*c^2 - 4))/(4*d^2)))/d) - x^2*((c*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*c^2*f^3 - 4*a*f^3 + 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(8*d^2) + (a*f^3*(4*c^2 - 4))/(8*d^2)) + x^3*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(12*d) - (2*a*c*f^3)/(3*d)) + (a*f^3*x^4)/4 + (log(c + d*x - 1)*(b*f^3 + 6*b*c^2*f^3 - 4*b*c^3*f^3 + 4*b*d^3*e^3 + b*c^4*f^3 - 4*b*c*f^3 + 4*b*d*e*f^2 - 4*b*c*d^3*e^3 + 6*b*d^2*e^2*f - 12*b*c*d^2*e^2*f + 12*b*c^2*d*e*f^2 - 4*b*c^3*d*e*f^2 + 6*b*c^2*d^2*e^2*f - 12*b*c*d*e*f^2))/(8*d^4) - (log(c + d*x + 1)*(b*f^3 + 6*b*c^2*f^3 + 4*b*c^3*f^3 - 4*b*d^3*e^3 + b*c^4*f^3 + 4*b*c*f^3 - 4*b*d*e*f^2 - 4*b*c*d^3*e^3 + 6*b*d^2*e^2*f + 12*b*c*d^2*e^2*f - 12*b*c^2*d*e*f^2 - 4*b*c^3*d*e*f^2 + 6*b*c^2*d^2*e^2*f - 12*b*c*d*e*f^2))/(8*d^4)","B"
32,1,381,120,1.386983,"\text{Not used}","int((e + f*x)^2*(a + b*atanh(c + d*x)),x)","x^2\,\left(\frac{f\,\left(b\,f+6\,a\,c\,f+6\,a\,d\,e\right)}{6\,d}-\frac{a\,c\,f^2}{d}\right)-\ln\left(1-d\,x-c\right)\,\left(\frac{b\,e^2\,x}{2}+\frac{b\,e\,f\,x^2}{2}+\frac{b\,f^2\,x^3}{6}\right)-x\,\left(\frac{2\,c\,\left(\frac{f\,\left(b\,f+6\,a\,c\,f+6\,a\,d\,e\right)}{3\,d}-\frac{2\,a\,c\,f^2}{d}\right)}{d}-\frac{3\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+3\,a\,d^2\,e^2+3\,b\,d\,e\,f-3\,a\,f^2}{3\,d^2}+\frac{a\,f^2\,\left(3\,c^2-3\right)}{3\,d^2}\right)+\ln\left(c+d\,x+1\right)\,\left(\frac{b\,e^2\,x}{2}+\frac{b\,e\,f\,x^2}{2}+\frac{b\,f^2\,x^3}{6}\right)+\frac{a\,f^2\,x^3}{3}+\frac{\ln\left(c+d\,x-1\right)\,\left(\frac{b\,f^2}{6}+d\,\left(\frac{b\,e\,f\,c^2}{2}-b\,e\,f\,c+\frac{b\,e\,f}{2}\right)+d^2\,\left(\frac{b\,e^2}{2}-\frac{b\,c\,e^2}{2}\right)+\frac{b\,c^2\,f^2}{2}-\frac{b\,c^3\,f^2}{6}-\frac{b\,c\,f^2}{2}\right)}{d^3}+\frac{\ln\left(c+d\,x+1\right)\,\left(\frac{b\,f^2}{6}-d\,\left(\frac{b\,e\,f\,c^2}{2}+b\,e\,f\,c+\frac{b\,e\,f}{2}\right)+d^2\,\left(\frac{b\,e^2}{2}+\frac{b\,c\,e^2}{2}\right)+\frac{b\,c^2\,f^2}{2}+\frac{b\,c^3\,f^2}{6}+\frac{b\,c\,f^2}{2}\right)}{d^3}","Not used",1,"x^2*((f*(b*f + 6*a*c*f + 6*a*d*e))/(6*d) - (a*c*f^2)/d) - log(1 - d*x - c)*((b*f^2*x^3)/6 + (b*e^2*x)/2 + (b*e*f*x^2)/2) - x*((2*c*((f*(b*f + 6*a*c*f + 6*a*d*e))/(3*d) - (2*a*c*f^2)/d))/d - (3*a*c^2*f^2 - 3*a*f^2 + 3*a*d^2*e^2 + 3*b*d*e*f + 12*a*c*d*e*f)/(3*d^2) + (a*f^2*(3*c^2 - 3))/(3*d^2)) + log(c + d*x + 1)*((b*f^2*x^3)/6 + (b*e^2*x)/2 + (b*e*f*x^2)/2) + (a*f^2*x^3)/3 + (log(c + d*x - 1)*((b*f^2)/6 + d*((b*e*f)/2 + (b*c^2*e*f)/2 - b*c*e*f) + d^2*((b*e^2)/2 - (b*c*e^2)/2) + (b*c^2*f^2)/2 - (b*c^3*f^2)/6 - (b*c*f^2)/2))/d^3 + (log(c + d*x + 1)*((b*f^2)/6 - d*((b*e*f)/2 + (b*c^2*e*f)/2 + b*c*e*f) + d^2*((b*e^2)/2 + (b*c*e^2)/2) + (b*c^2*f^2)/2 + (b*c^3*f^2)/6 + (b*c*f^2)/2))/d^3","B"
33,1,136,97,1.336628,"\text{Not used}","int((e + f*x)*(a + b*atanh(c + d*x)),x)","a\,e\,x+\frac{a\,f\,x^2}{2}+\frac{b\,e\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2\,d}-\frac{b\,f\,\mathrm{atanh}\left(c+d\,x\right)}{2\,d^2}+\frac{b\,f\,x^2\,\mathrm{atanh}\left(c+d\,x\right)}{2}+\frac{b\,f\,x}{2\,d}+b\,e\,x\,\mathrm{atanh}\left(c+d\,x\right)-\frac{b\,c^2\,f\,\mathrm{atanh}\left(c+d\,x\right)}{2\,d^2}-\frac{b\,c\,f\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2\,d^2}+\frac{b\,c\,e\,\mathrm{atanh}\left(c+d\,x\right)}{d}","Not used",1,"a*e*x + (a*f*x^2)/2 + (b*e*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/(2*d) - (b*f*atanh(c + d*x))/(2*d^2) + (b*f*x^2*atanh(c + d*x))/2 + (b*f*x)/(2*d) + b*e*x*atanh(c + d*x) - (b*c^2*f*atanh(c + d*x))/(2*d^2) - (b*c*f*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/(2*d^2) + (b*c*e*atanh(c + d*x))/d","B"
34,1,48,40,1.439781,"\text{Not used}","int(a + b*atanh(c + d*x),x)","a\,x+\frac{\frac{b\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2}+b\,c\,\mathrm{atanh}\left(c+d\,x\right)}{d}+b\,x\,\mathrm{atanh}\left(c+d\,x\right)","Not used",1,"a*x + ((b*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/2 + b*c*atanh(c + d*x))/d + b*x*atanh(c + d*x)","B"
35,0,-1,130,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))/(e + f*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c+d\,x\right)}{e+f\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))/(e + f*x), x)","F"
36,1,170,115,1.638281,"\text{Not used}","int((a + b*atanh(c + d*x))/(e + f*x)^2,x)","\ln\left(e+f\,x\right)\,\left(\frac{b\,\left(c-1\right)}{2\,e\,\left(d\,e-f\,\left(c-1\right)\right)}-\frac{b\,\left(c+1\right)}{2\,e\,\left(d\,e-f\,\left(c+1\right)\right)}\right)-\frac{a}{x\,f^2+e\,f}+\frac{b\,\ln\left(1-d\,x-c\right)}{f\,\left(2\,e+2\,f\,x\right)}-\frac{b\,\ln\left(c+d\,x+1\right)}{2\,f\,\left(e+f\,x\right)}-\frac{b\,d\,\ln\left(c+d\,x-1\right)}{2\,f^2-2\,c\,f^2+2\,d\,e\,f}-\frac{b\,d\,\ln\left(c+d\,x+1\right)}{2\,c\,f^2+2\,f^2-2\,d\,e\,f}","Not used",1,"log(e + f*x)*((b*(c - 1))/(2*e*(d*e - f*(c - 1))) - (b*(c + 1))/(2*e*(d*e - f*(c + 1)))) - a/(e*f + f^2*x) + (b*log(1 - d*x - c))/(f*(2*e + 2*f*x)) - (b*log(c + d*x + 1))/(2*f*(e + f*x)) - (b*d*log(c + d*x - 1))/(2*f^2 - 2*c*f^2 + 2*d*e*f) - (b*d*log(c + d*x + 1))/(2*c*f^2 + 2*f^2 - 2*d*e*f)","B"
37,1,417,167,3.033762,"\text{Not used}","int((a + b*atanh(c + d*x))/(e + f*x)^3,x)","\frac{b\,d^2\,\ln\left(c+d\,x+1\right)}{4\,c^2\,f^3-8\,c\,d\,e\,f^2+8\,c\,f^3+4\,d^2\,e^2\,f-8\,d\,e\,f^2+4\,f^3}-\frac{\ln\left(e+f\,x\right)\,\left(b\,d^3\,e-b\,c\,d^2\,f\right)}{c^4\,f^4-4\,c^3\,d\,e\,f^3+6\,c^2\,d^2\,e^2\,f^2-2\,c^2\,f^4-4\,c\,d^3\,e^3\,f+4\,c\,d\,e\,f^3+d^4\,e^4-2\,d^2\,e^2\,f^2+f^4}-\frac{b\,\ln\left(c+d\,x+1\right)}{4\,f\,\left(e^2+2\,e\,f\,x+f^2\,x^2\right)}-\frac{b\,d^2\,\ln\left(c+d\,x-1\right)}{4\,c^2\,f^3-8\,c\,d\,e\,f^2-8\,c\,f^3+4\,d^2\,e^2\,f+8\,d\,e\,f^2+4\,f^3}-\frac{\frac{-a\,c^2\,f^2+2\,a\,c\,d\,e\,f-a\,d^2\,e^2+b\,d\,e\,f+a\,f^2}{-c^2\,f^2+2\,c\,d\,e\,f-d^2\,e^2+f^2}+\frac{b\,d\,f^2\,x}{-c^2\,f^2+2\,c\,d\,e\,f-d^2\,e^2+f^2}}{2\,e^2\,f+4\,e\,f^2\,x+2\,f^3\,x^2}+\frac{b\,\ln\left(1-d\,x-c\right)}{2\,f\,\left(2\,e^2+4\,e\,f\,x+2\,f^2\,x^2\right)}","Not used",1,"(b*d^2*log(c + d*x + 1))/(8*c*f^3 + 4*f^3 + 4*c^2*f^3 + 4*d^2*e^2*f - 8*d*e*f^2 - 8*c*d*e*f^2) - (log(e + f*x)*(b*d^3*e - b*c*d^2*f))/(f^4 - 2*c^2*f^4 + c^4*f^4 + d^4*e^4 - 2*d^2*e^2*f^2 + 4*c*d*e*f^3 + 6*c^2*d^2*e^2*f^2 - 4*c*d^3*e^3*f - 4*c^3*d*e*f^3) - (b*log(c + d*x + 1))/(4*f*(e^2 + f^2*x^2 + 2*e*f*x)) - (b*d^2*log(c + d*x - 1))/(4*f^3 - 8*c*f^3 + 4*c^2*f^3 + 4*d^2*e^2*f + 8*d*e*f^2 - 8*c*d*e*f^2) - ((a*f^2 - a*c^2*f^2 - a*d^2*e^2 + b*d*e*f + 2*a*c*d*e*f)/(f^2 - c^2*f^2 - d^2*e^2 + 2*c*d*e*f) + (b*d*f^2*x)/(f^2 - c^2*f^2 - d^2*e^2 + 2*c*d*e*f))/(2*e^2*f + 2*f^3*x^2 + 4*e*f^2*x) + (b*log(1 - d*x - c))/(2*f*(2*e^2 + 2*f^2*x^2 + 4*e*f*x))","B"
38,0,-1,562,0.000000,"\text{Not used}","int((e + f*x)^3*(a + b*atanh(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^3\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)^3*(a + b*atanh(c + d*x))^2, x)","F"
39,0,-1,374,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*atanh(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)^2*(a + b*atanh(c + d*x))^2, x)","F"
40,0,-1,221,0.000000,"\text{Not used}","int((e + f*x)*(a + b*atanh(c + d*x))^2,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)*(a + b*atanh(c + d*x))^2, x)","F"
41,0,-1,97,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2, x)","F"
42,0,-1,214,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{e+f\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(e + f*x), x)","F"
43,0,-1,480,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(e + f*x)^2, x)","F"
44,0,-1,750,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^2/(e + f*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^2/(e + f*x)^3, x)","F"
45,0,-1,546,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*atanh(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)^2*(a + b*atanh(c + d*x))^3, x)","F"
46,0,-1,326,0.000000,"\text{Not used}","int((e + f*x)*(a + b*atanh(c + d*x))^3,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)*(a + b*atanh(c + d*x))^3, x)","F"
47,0,-1,132,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3, x)","F"
48,0,-1,308,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{e+f\,x} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(e + f*x), x)","F"
49,0,-1,1089,0.000000,"\text{Not used}","int((a + b*atanh(c + d*x))^3/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c + d*x))^3/(e + f*x)^2, x)","F"
50,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atanh(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((e + f*x)^m*(a + b*atanh(c + d*x))^3, x)","F"
51,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atanh(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}^2 \,d x","Not used",0,"int((e + f*x)^m*(a + b*atanh(c + d*x))^2, x)","F"
52,0,-1,162,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atanh(c + d*x)),x)","\int {\left(e+f\,x\right)}^m\,\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((e + f*x)^m*(a + b*atanh(c + d*x)), x)","F"
53,0,-1,780,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d*x^3),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{d\,x^3+c} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d*x^3), x)","F"
54,0,-1,481,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d*x^2),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d*x^2), x)","F"
55,0,-1,120,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d*x),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+d\,x} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d*x), x)","F"
56,0,-1,186,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d/x),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+\frac{d}{x}} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d/x), x)","F"
57,0,-1,545,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d/x^2),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+\frac{d}{x^2}} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d/x^2), x)","F"
58,0,-1,832,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d/x^3),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+\frac{d}{x^3}} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d/x^3), x)","F"
59,0,-1,585,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d*x^(1/2)),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+d\,\sqrt{x}} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d*x^(1/2)), x)","F"
60,0,-1,661,0.000000,"\text{Not used}","int(atanh(a + b*x)/(c + d/x^(1/2)),x)","\int \frac{\mathrm{atanh}\left(a+b\,x\right)}{c+\frac{d}{\sqrt{x}}} \,d x","Not used",1,"int(atanh(a + b*x)/(c + d/x^(1/2)), x)","F"
61,0,-1,335,0.000000,"\text{Not used}","int(atanh(d + e*x)/(a + b*x + c*x^2),x)","\int \frac{\mathrm{atanh}\left(d+e\,x\right)}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(atanh(d + e*x)/(a + b*x + c*x^2), x)","F"
62,0,-1,83,0.000000,"\text{Not used}","int(-((c*e + d*e*x)*(a + b*atanh(c + d*x)))/((c + d*x)^2 - 1),x)","\int -\frac{\left(c\,e+d\,e\,x\right)\,\left(a+b\,\mathrm{atanh}\left(c+d\,x\right)\right)}{{\left(c+d\,x\right)}^2-1} \,d x","Not used",1,"int(-((c*e + d*e*x)*(a + b*atanh(c + d*x)))/((c + d*x)^2 - 1), x)","F"