1,1,52,59,0.838810,"\text{Not used}","int(x^5*(a + b*atanh(c*x)),x)","\frac{\frac{b\,c^3\,x^3}{18}-\frac{b\,\mathrm{atanh}\left(c\,x\right)}{6}+\frac{b\,c^5\,x^5}{30}+\frac{b\,c\,x}{6}}{c^6}+\frac{a\,x^6}{6}+\frac{b\,x^6\,\mathrm{atanh}\left(c\,x\right)}{6}","Not used",1,"((b*c^3*x^3)/18 - (b*atanh(c*x))/6 + (b*c^5*x^5)/30 + (b*c*x)/6)/c^6 + (a*x^6)/6 + (b*x^6*atanh(c*x))/6","B"
2,1,53,57,0.820762,"\text{Not used}","int(x^4*(a + b*atanh(c*x)),x)","\frac{a\,x^5}{5}+\frac{\frac{b\,\ln\left(c^2\,x^2-1\right)}{10}+\frac{b\,c^2\,x^2}{10}+\frac{b\,c^4\,x^4}{20}}{c^5}+\frac{b\,x^5\,\mathrm{atanh}\left(c\,x\right)}{5}","Not used",1,"(a*x^5)/5 + ((b*log(c^2*x^2 - 1))/10 + (b*c^2*x^2)/10 + (b*c^4*x^4)/20)/c^5 + (b*x^5*atanh(c*x))/5","B"
3,1,43,48,0.772881,"\text{Not used}","int(x^3*(a + b*atanh(c*x)),x)","\frac{a\,x^4}{4}+\frac{\frac{b\,c^3\,x^3}{12}-\frac{b\,\mathrm{atanh}\left(c\,x\right)}{4}+\frac{b\,c\,x}{4}}{c^4}+\frac{b\,x^4\,\mathrm{atanh}\left(c\,x\right)}{4}","Not used",1,"(a*x^4)/4 + ((b*c^3*x^3)/12 - (b*atanh(c*x))/4 + (b*c*x)/4)/c^4 + (b*x^4*atanh(c*x))/4","B"
4,1,44,46,0.744222,"\text{Not used}","int(x^2*(a + b*atanh(c*x)),x)","\frac{\frac{b\,\ln\left(c^2\,x^2-1\right)}{6}+\frac{b\,c^2\,x^2}{6}}{c^3}+\frac{a\,x^3}{3}+\frac{b\,x^3\,\mathrm{atanh}\left(c\,x\right)}{3}","Not used",1,"((b*log(c^2*x^2 - 1))/6 + (b*c^2*x^2)/6)/c^3 + (a*x^3)/3 + (b*x^3*atanh(c*x))/3","B"
5,1,35,37,0.726520,"\text{Not used}","int(x*(a + b*atanh(c*x)),x)","\frac{a\,x^2}{2}-\frac{\frac{b\,\mathrm{atanh}\left(c\,x\right)}{2}-\frac{b\,c\,x}{2}}{c^2}+\frac{b\,x^2\,\mathrm{atanh}\left(c\,x\right)}{2}","Not used",1,"(a*x^2)/2 - ((b*atanh(c*x))/2 - (b*c*x)/2)/c^2 + (b*x^2*atanh(c*x))/2","B"
6,1,27,30,0.683611,"\text{Not used}","int(a + b*atanh(c*x),x)","a\,x+\frac{b\,\ln\left(c^2\,x^2-1\right)}{2\,c}+b\,x\,\mathrm{atanh}\left(c\,x\right)","Not used",1,"a*x + (b*log(c^2*x^2 - 1))/(2*c) + b*x*atanh(c*x)","B"
7,0,-1,26,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x))/x, x)","F"
8,1,33,36,0.699853,"\text{Not used}","int((a + b*atanh(c*x))/x^2,x)","b\,c\,\ln\left(x\right)-\frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{x}-\frac{b\,c\,\ln\left(c^2\,x^2-1\right)}{2}","Not used",1,"b*c*log(x) - (a + b*atanh(c*x))/x - (b*c*log(c^2*x^2 - 1))/2","B"
9,1,46,37,0.727994,"\text{Not used}","int((a + b*atanh(c*x))/x^3,x)","\frac{b\,c\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{-c^2}}\right)\,\sqrt{-c^2}}{2}-\frac{\frac{a}{2}+\frac{b\,\mathrm{atanh}\left(c\,x\right)}{2}+\frac{b\,c\,x}{2}}{x^2}","Not used",1,"(b*c*atan((c^2*x)/(-c^2)^(1/2))*(-c^2)^(1/2))/2 - (a/2 + (b*atanh(c*x))/2 + (b*c*x)/2)/x^2","B"
10,1,46,54,0.730101,"\text{Not used}","int((a + b*atanh(c*x))/x^4,x)","\frac{b\,c^3\,\ln\left(x\right)}{3}-\frac{b\,c^3\,\ln\left(c^2\,x^2-1\right)}{6}-\frac{\frac{a}{3}+\frac{b\,\mathrm{atanh}\left(c\,x\right)}{3}+\frac{b\,c\,x}{6}}{x^3}","Not used",1,"(b*c^3*log(x))/3 - (b*c^3*log(c^2*x^2 - 1))/6 - (a/3 + (b*atanh(c*x))/3 + (b*c*x)/6)/x^3","B"
11,1,59,48,1.052928,"\text{Not used}","int((a + b*atanh(c*x))/x^5,x)","\frac{b\,\ln\left(1-c\,x\right)}{8\,x^4}-\frac{b\,\ln\left(c\,x+1\right)}{8\,x^4}-\frac{b\,c^3\,x^3+\frac{b\,c\,x}{3}+a}{4\,x^4}-\frac{b\,c^4\,\mathrm{atan}\left(c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(b*log(1 - c*x))/(8*x^4) - (b*c^4*atan(c*x*1i)*1i)/4 - (b*log(c*x + 1))/(8*x^4) - (a + b*c^3*x^3 + (b*c*x)/3)/(4*x^4)","B"
12,1,71,65,0.911151,"\text{Not used}","int((a + b*atanh(c*x))/x^6,x)","\frac{b\,c^5\,\ln\left(x\right)}{5}-\frac{b\,c^5\,\ln\left(c^2\,x^2-1\right)}{10}-\frac{\frac{b\,c^3\,x^3}{2}+\frac{b\,c\,x}{4}+a}{5\,x^5}-\frac{b\,\ln\left(c\,x+1\right)}{10\,x^5}+\frac{b\,\ln\left(1-c\,x\right)}{10\,x^5}","Not used",1,"(b*c^5*log(x))/5 - (b*c^5*log(c^2*x^2 - 1))/10 - (a + (b*c^3*x^3)/2 + (b*c*x)/4)/(5*x^5) - (b*log(c*x + 1))/(10*x^5) + (b*log(1 - c*x))/(10*x^5)","B"
13,1,171,145,1.042471,"\text{Not used}","int(x^5*(a + b*atanh(c*x))^2,x)","\frac{46\,b^2\,\ln\left(c^2\,x^2-1\right)-30\,b^2\,{\mathrm{atanh}\left(c\,x\right)}^2+30\,a^2\,c^6\,x^6+16\,b^2\,c^2\,x^2+3\,b^2\,c^4\,x^4-60\,a\,b\,\mathrm{atanh}\left(c\,x\right)+20\,b^2\,c^3\,x^3\,\mathrm{atanh}\left(c\,x\right)+12\,b^2\,c^5\,x^5\,\mathrm{atanh}\left(c\,x\right)+60\,b^2\,c\,x\,\mathrm{atanh}\left(c\,x\right)+30\,b^2\,c^6\,x^6\,{\mathrm{atanh}\left(c\,x\right)}^2+20\,a\,b\,c^3\,x^3+12\,a\,b\,c^5\,x^5+60\,a\,b\,c\,x+60\,a\,b\,c^6\,x^6\,\mathrm{atanh}\left(c\,x\right)}{180\,c^6}","Not used",1,"(46*b^2*log(c^2*x^2 - 1) - 30*b^2*atanh(c*x)^2 + 30*a^2*c^6*x^6 + 16*b^2*c^2*x^2 + 3*b^2*c^4*x^4 - 60*a*b*atanh(c*x) + 20*b^2*c^3*x^3*atanh(c*x) + 12*b^2*c^5*x^5*atanh(c*x) + 60*b^2*c*x*atanh(c*x) + 30*b^2*c^6*x^6*atanh(c*x)^2 + 20*a*b*c^3*x^3 + 12*a*b*c^5*x^5 + 60*a*b*c*x + 60*a*b*c^6*x^6*atanh(c*x))/(180*c^6)","B"
14,0,-1,162,0.000000,"\text{Not used}","int(x^4*(a + b*atanh(c*x))^2,x)","\int x^4\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int(x^4*(a + b*atanh(c*x))^2, x)","F"
15,1,134,113,0.915757,"\text{Not used}","int(x^3*(a + b*atanh(c*x))^2,x)","\frac{4\,b^2\,\ln\left(c^2\,x^2-1\right)-3\,b^2\,{\mathrm{atanh}\left(c\,x\right)}^2+3\,a^2\,c^4\,x^4+b^2\,c^2\,x^2-6\,a\,b\,\mathrm{atanh}\left(c\,x\right)+2\,b^2\,c^3\,x^3\,\mathrm{atanh}\left(c\,x\right)+6\,b^2\,c\,x\,\mathrm{atanh}\left(c\,x\right)+3\,b^2\,c^4\,x^4\,{\mathrm{atanh}\left(c\,x\right)}^2+2\,a\,b\,c^3\,x^3+6\,a\,b\,c\,x+6\,a\,b\,c^4\,x^4\,\mathrm{atanh}\left(c\,x\right)}{12\,c^4}","Not used",1,"(4*b^2*log(c^2*x^2 - 1) - 3*b^2*atanh(c*x)^2 + 3*a^2*c^4*x^4 + b^2*c^2*x^2 - 6*a*b*atanh(c*x) + 2*b^2*c^3*x^3*atanh(c*x) + 6*b^2*c*x*atanh(c*x) + 3*b^2*c^4*x^4*atanh(c*x)^2 + 2*a*b*c^3*x^3 + 6*a*b*c*x + 6*a*b*c^4*x^4*atanh(c*x))/(12*c^4)","B"
16,0,-1,130,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x))^2, x)","F"
17,1,89,75,0.784782,"\text{Not used}","int(x*(a + b*atanh(c*x))^2,x)","\frac{a^2\,x^2}{2}-\frac{\frac{b^2\,{\mathrm{atanh}\left(c\,x\right)}^2}{2}-\frac{b^2\,\ln\left(c^2\,x^2-1\right)}{2}-c\,\left(x\,\mathrm{atanh}\left(c\,x\right)\,b^2+a\,x\,b\right)+a\,b\,\mathrm{atanh}\left(c\,x\right)}{c^2}+\frac{b^2\,x^2\,{\mathrm{atanh}\left(c\,x\right)}^2}{2}+a\,b\,x^2\,\mathrm{atanh}\left(c\,x\right)","Not used",1,"(a^2*x^2)/2 - ((b^2*atanh(c*x)^2)/2 - (b^2*log(c^2*x^2 - 1))/2 - c*(b^2*x*atanh(c*x) + a*b*x) + a*b*atanh(c*x))/c^2 + (b^2*x^2*atanh(c*x)^2)/2 + a*b*x^2*atanh(c*x)","B"
18,0,-1,74,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c*x))^2, x)","F"
19,0,-1,117,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/x, x)","F"
20,0,-1,71,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/x^2, x)","F"
21,1,246,80,1.489722,"\text{Not used}","int((a + b*atanh(c*x))^2/x^3,x)","\frac{b^2\,c^2\,{\ln\left(c\,x+1\right)}^2}{8}-\frac{a^2}{2\,x^2}+\frac{b^2\,c^2\,{\ln\left(1-c\,x\right)}^2}{8}-\frac{b^2\,{\ln\left(c\,x+1\right)}^2}{8\,x^2}-\frac{b^2\,{\ln\left(1-c\,x\right)}^2}{8\,x^2}+b^2\,c^2\,\ln\left(x\right)-\frac{b^2\,c^2\,\ln\left(c\,x-1\right)}{2}-\frac{b^2\,c^2\,\ln\left(c\,x+1\right)}{2}-\frac{a\,b\,\ln\left(c\,x+1\right)}{2\,x^2}+\frac{a\,b\,\ln\left(1-c\,x\right)}{2\,x^2}+\frac{b^2\,\ln\left(c\,x+1\right)\,\ln\left(1-c\,x\right)}{4\,x^2}-\frac{a\,b\,c}{x}-\frac{b^2\,c\,\ln\left(c\,x+1\right)}{2\,x}+\frac{b^2\,c\,\ln\left(1-c\,x\right)}{2\,x}-\frac{a\,b\,c^2\,\ln\left(c\,x-1\right)}{2}+\frac{a\,b\,c^2\,\ln\left(c\,x+1\right)}{2}-\frac{b^2\,c^2\,\ln\left(c\,x+1\right)\,\ln\left(1-c\,x\right)}{4}","Not used",1,"(b^2*c^2*log(c*x + 1)^2)/8 - a^2/(2*x^2) + (b^2*c^2*log(1 - c*x)^2)/8 - (b^2*log(c*x + 1)^2)/(8*x^2) - (b^2*log(1 - c*x)^2)/(8*x^2) + b^2*c^2*log(x) - (b^2*c^2*log(c*x - 1))/2 - (b^2*c^2*log(c*x + 1))/2 - (a*b*log(c*x + 1))/(2*x^2) + (a*b*log(1 - c*x))/(2*x^2) + (b^2*log(c*x + 1)*log(1 - c*x))/(4*x^2) - (a*b*c)/x - (b^2*c*log(c*x + 1))/(2*x) + (b^2*c*log(1 - c*x))/(2*x) - (a*b*c^2*log(c*x - 1))/2 + (a*b*c^2*log(c*x + 1))/2 - (b^2*c^2*log(c*x + 1)*log(1 - c*x))/4","B"
22,0,-1,130,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/x^4, x)","F"
23,1,303,117,1.903042,"\text{Not used}","int((a + b*atanh(c*x))^2/x^5,x)","\frac{b^2\,c^4\,{\ln\left(c\,x+1\right)}^2}{16}-\frac{a^2}{4\,x^4}+\frac{b^2\,c^4\,{\ln\left(1-c\,x\right)}^2}{16}-\frac{b^2\,{\ln\left(c\,x+1\right)}^2}{16\,x^4}-\frac{b^2\,{\ln\left(1-c\,x\right)}^2}{16\,x^4}-\frac{b^2\,c^2}{12\,x^2}+\frac{2\,b^2\,c^4\,\ln\left(x\right)}{3}-\frac{b^2\,c^4\,\ln\left(c\,x-1\right)}{3}-\frac{b^2\,c^4\,\ln\left(c\,x+1\right)}{3}-\frac{a\,b\,\ln\left(c\,x+1\right)}{4\,x^4}+\frac{a\,b\,\ln\left(1-c\,x\right)}{4\,x^4}+\frac{b^2\,\ln\left(c\,x+1\right)\,\ln\left(1-c\,x\right)}{8\,x^4}-\frac{a\,b\,c}{6\,x^3}-\frac{b^2\,c\,\ln\left(c\,x+1\right)}{12\,x^3}+\frac{b^2\,c\,\ln\left(1-c\,x\right)}{12\,x^3}-\frac{a\,b\,c^3}{2\,x}-\frac{b^2\,c^3\,\ln\left(c\,x+1\right)}{4\,x}+\frac{b^2\,c^3\,\ln\left(1-c\,x\right)}{4\,x}-\frac{a\,b\,c^4\,\ln\left(c\,x-1\right)}{4}+\frac{a\,b\,c^4\,\ln\left(c\,x+1\right)}{4}-\frac{b^2\,c^4\,\ln\left(c\,x+1\right)\,\ln\left(1-c\,x\right)}{8}","Not used",1,"(b^2*c^4*log(c*x + 1)^2)/16 - a^2/(4*x^4) + (b^2*c^4*log(1 - c*x)^2)/16 - (b^2*log(c*x + 1)^2)/(16*x^4) - (b^2*log(1 - c*x)^2)/(16*x^4) - (b^2*c^2)/(12*x^2) + (2*b^2*c^4*log(x))/3 - (b^2*c^4*log(c*x - 1))/3 - (b^2*c^4*log(c*x + 1))/3 - (a*b*log(c*x + 1))/(4*x^4) + (a*b*log(1 - c*x))/(4*x^4) + (b^2*log(c*x + 1)*log(1 - c*x))/(8*x^4) - (a*b*c)/(6*x^3) - (b^2*c*log(c*x + 1))/(12*x^3) + (b^2*c*log(1 - c*x))/(12*x^3) - (a*b*c^3)/(2*x) - (b^2*c^3*log(c*x + 1))/(4*x) + (b^2*c^3*log(1 - c*x))/(4*x) - (a*b*c^4*log(c*x - 1))/4 + (a*b*c^4*log(c*x + 1))/4 - (b^2*c^4*log(c*x + 1)*log(1 - c*x))/8","B"
24,0,-1,247,0.000000,"\text{Not used}","int(x^5*(a + b*atanh(c*x))^3,x)","\int x^5\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^5*(a + b*atanh(c*x))^3, x)","F"
25,0,-1,262,0.000000,"\text{Not used}","int(x^4*(a + b*atanh(c*x))^3,x)","\int x^4\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^4*(a + b*atanh(c*x))^3, x)","F"
26,0,-1,185,0.000000,"\text{Not used}","int(x^3*(a + b*atanh(c*x))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atanh(c*x))^3, x)","F"
27,0,-1,197,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x))^3, x)","F"
28,0,-1,123,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x))^3,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atanh(c*x))^3, x)","F"
29,0,-1,108,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c*x))^3, x)","F"
30,0,-1,184,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/x, x)","F"
31,0,-1,102,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/x^2, x)","F"
32,0,-1,123,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/x^3, x)","F"
33,0,-1,200,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/x^4, x)","F"
34,0,-1,187,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/x^5,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{x^5} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/x^5, x)","F"
35,0,-1,124,0.000000,"\text{Not used}","int((a + b*atanh(c*x))*(d*x)^(5/2),x)","\int \left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)\,{\left(d\,x\right)}^{5/2} \,d x","Not used",1,"int((a + b*atanh(c*x))*(d*x)^(5/2), x)","F"
36,0,-1,106,0.000000,"\text{Not used}","int((a + b*atanh(c*x))*(d*x)^(3/2),x)","\int \left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)\,{\left(d\,x\right)}^{3/2} \,d x","Not used",1,"int((a + b*atanh(c*x))*(d*x)^(3/2), x)","F"
37,0,-1,106,0.000000,"\text{Not used}","int((a + b*atanh(c*x))*(d*x)^(1/2),x)","\int \left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)\,\sqrt{d\,x} \,d x","Not used",1,"int((a + b*atanh(c*x))*(d*x)^(1/2), x)","F"
38,0,-1,85,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d*x)^(1/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{\sqrt{d\,x}} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d*x)^(1/2), x)","F"
39,0,-1,85,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d*x)^(3/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{{\left(d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d*x)^(3/2), x)","F"
40,0,-1,107,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d*x)^(5/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{{\left(d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d*x)^(5/2), x)","F"
41,0,-1,107,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d*x)^(7/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{{\left(d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d*x)^(7/2), x)","F"
42,0,-1,125,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d*x)^(9/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{{\left(d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d*x)^(9/2), x)","F"
43,0,-1,19,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atanh(c*x))^3*(d*x)^m, x)","F"
44,0,-1,19,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atanh(c*x))^2*(d*x)^m, x)","F"
45,0,-1,72,0.000000,"\text{Not used}","int((a + b*atanh(c*x))*(d*x)^m,x)","\int \left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b*atanh(c*x))*(d*x)^m, x)","F"
46,0,-1,19,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atanh}\left(c\,x\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x)), x)","F"
47,0,-1,19,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x))^2, x)","F"
48,0,-1,13,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^p,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^p \,d x","Not used",0,"int((a + b*atanh(c*x))^p, x)","F"
49,0,-1,19,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^p*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^p\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atanh(c*x))^p*(d*x)^m, x)","F"
50,1,69,54,1.063644,"\text{Not used}","int(x^7*(a + b*atanh(c*x^2)),x)","\frac{a\,x^8}{8}+\frac{b\,x^2}{8\,c^3}+\frac{b\,x^6}{24\,c}+\frac{b\,x^8\,\ln\left(c\,x^2+1\right)}{16}-\frac{b\,x^8\,\ln\left(1-c\,x^2\right)}{16}+\frac{b\,\mathrm{atan}\left(c\,x^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,c^4}","Not used",1,"(a*x^8)/8 + (b*x^2)/(8*c^3) + (b*x^6)/(24*c) + (b*atan(c*x^2*1i)*1i)/(8*c^4) + (b*x^8*log(c*x^2 + 1))/16 - (b*x^8*log(1 - c*x^2))/16","B"
51,1,61,48,0.791481,"\text{Not used}","int(x^5*(a + b*atanh(c*x^2)),x)","\frac{a\,x^6}{6}+\frac{b\,\ln\left(c^2\,x^4-1\right)}{12\,c^3}+\frac{b\,x^4}{12\,c}+\frac{b\,x^6\,\ln\left(c\,x^2+1\right)}{12}-\frac{b\,x^6\,\ln\left(1-c\,x^2\right)}{12}","Not used",1,"(a*x^6)/6 + (b*log(c^2*x^4 - 1))/(12*c^3) + (b*x^4)/(12*c) + (b*x^6*log(c*x^2 + 1))/12 - (b*x^6*log(1 - c*x^2))/12","B"
52,1,60,43,0.939020,"\text{Not used}","int(x^3*(a + b*atanh(c*x^2)),x)","\frac{a\,x^4}{4}+\frac{b\,x^2}{4\,c}+\frac{b\,x^4\,\ln\left(c\,x^2+1\right)}{8}-\frac{b\,x^4\,\ln\left(1-c\,x^2\right)}{8}+\frac{b\,\mathrm{atan}\left(c\,x^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,c^2}","Not used",1,"(a*x^4)/4 + (b*x^2)/(4*c) + (b*atan(c*x^2*1i)*1i)/(4*c^2) + (b*x^4*log(c*x^2 + 1))/8 - (b*x^4*log(1 - c*x^2))/8","B"
53,1,52,37,0.765039,"\text{Not used}","int(x*(a + b*atanh(c*x^2)),x)","\frac{a\,x^2}{2}+\frac{b\,\ln\left(c^2\,x^4-1\right)}{4\,c}+\frac{b\,x^2\,\ln\left(c\,x^2+1\right)}{4}-\frac{b\,x^2\,\ln\left(1-c\,x^2\right)}{4}","Not used",1,"(a*x^2)/2 + (b*log(c^2*x^4 - 1))/(4*c) + (b*x^2*log(c*x^2 + 1))/4 - (b*x^2*log(1 - c*x^2))/4","B"
54,0,-1,30,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/x, x)","F"
55,1,55,40,0.854943,"\text{Not used}","int((a + b*atanh(c*x^2))/x^3,x)","b\,c\,\ln\left(x\right)-\frac{a}{2\,x^2}-\frac{b\,c\,\ln\left(c^2\,x^4-1\right)}{4}-\frac{b\,\ln\left(c\,x^2+1\right)}{4\,x^2}+\frac{b\,\ln\left(1-c\,x^2\right)}{4\,x^2}","Not used",1,"b*c*log(x) - a/(2*x^2) - (b*c*log(c^2*x^4 - 1))/4 - (b*log(c*x^2 + 1))/(4*x^2) + (b*log(1 - c*x^2))/(4*x^2)","B"
56,1,52,41,0.999059,"\text{Not used}","int((a + b*atanh(c*x^2))/x^5,x)","\frac{b\,c^2\,\mathrm{atanh}\left(c\,x^2\right)}{4}-\frac{\frac{a}{4}+\frac{b\,\ln\left(c\,x^2+1\right)}{8}-\frac{b\,\ln\left(1-c\,x^2\right)}{8}+\frac{b\,c\,x^2}{4}}{x^4}","Not used",1,"(b*c^2*atanh(c*x^2))/4 - (a/4 + (b*log(c*x^2 + 1))/8 - (b*log(1 - c*x^2))/8 + (b*c*x^2)/4)/x^4","B"
57,1,67,56,0.884131,"\text{Not used}","int((a + b*atanh(c*x^2))/x^7,x)","\frac{b\,c^3\,\ln\left(x\right)}{3}-\frac{b\,c^3\,\ln\left(c^2\,x^4-1\right)}{12}-\frac{a}{6\,x^6}-\frac{b\,c}{12\,x^4}-\frac{b\,\ln\left(c\,x^2+1\right)}{12\,x^6}+\frac{b\,\ln\left(1-c\,x^2\right)}{12\,x^6}","Not used",1,"(b*c^3*log(x))/3 - (b*c^3*log(c^2*x^4 - 1))/12 - a/(6*x^6) - (b*c)/(12*x^4) - (b*log(c*x^2 + 1))/(12*x^6) + (b*log(1 - c*x^2))/(12*x^6)","B"
58,1,72,65,0.984056,"\text{Not used}","int(x^4*(a + b*atanh(c*x^2)),x)","\frac{a\,x^5}{5}+\frac{2\,b\,x^3}{15\,c}+\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\right)}{5\,c^{5/2}}+\frac{b\,x^5\,\ln\left(c\,x^2+1\right)}{10}-\frac{b\,x^5\,\ln\left(1-c\,x^2\right)}{10}+\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5\,c^{5/2}}","Not used",1,"(a*x^5)/5 + (2*b*x^3)/(15*c) + (b*atan(c^(1/2)*x))/(5*c^(5/2)) + (b*atan(c^(1/2)*x*1i)*1i)/(5*c^(5/2)) + (b*x^5*log(c*x^2 + 1))/10 - (b*x^5*log(1 - c*x^2))/10","B"
59,1,70,63,0.851153,"\text{Not used}","int(x^2*(a + b*atanh(c*x^2)),x)","\frac{a\,x^3}{3}-\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\right)}{3\,c^{3/2}}+\frac{2\,b\,x}{3\,c}+\frac{b\,x^3\,\ln\left(c\,x^2+1\right)}{6}-\frac{b\,x^3\,\ln\left(1-c\,x^2\right)}{6}+\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,c^{3/2}}","Not used",1,"(a*x^3)/3 - (b*atan(c^(1/2)*x))/(3*c^(3/2)) + (b*atan(c^(1/2)*x*1i)*1i)/(3*c^(3/2)) + (2*b*x)/(3*c) + (b*x^3*log(c*x^2 + 1))/6 - (b*x^3*log(1 - c*x^2))/6","B"
60,1,55,44,0.789785,"\text{Not used}","int(a + b*atanh(c*x^2),x)","a\,x+\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\right)}{\sqrt{c}}+\frac{b\,x\,\ln\left(c\,x^2+1\right)}{2}-\frac{b\,x\,\ln\left(1-c\,x^2\right)}{2}+\frac{b\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"a*x + (b*atan(c^(1/2)*x))/c^(1/2) + (b*atan(c^(1/2)*x*1i)*1i)/c^(1/2) + (b*x*log(c*x^2 + 1))/2 - (b*x*log(1 - c*x^2))/2","B"
61,1,62,46,0.921111,"\text{Not used}","int((a + b*atanh(c*x^2))/x^2,x)","b\,\sqrt{c}\,\mathrm{atan}\left(\sqrt{c}\,x\right)-\frac{a}{x}-\frac{b\,\ln\left(c\,x^2+1\right)}{2\,x}+\frac{b\,\ln\left(1-c\,x^2\right)}{2\,x}-b\,\sqrt{c}\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"b*c^(1/2)*atan(c^(1/2)*x) - a/x - b*c^(1/2)*atan(c^(1/2)*x*1i)*1i - (b*log(c*x^2 + 1))/(2*x) + (b*log(1 - c*x^2))/(2*x)","B"
62,1,71,63,0.994560,"\text{Not used}","int((a + b*atanh(c*x^2))/x^4,x)","\frac{b\,\ln\left(1-c\,x^2\right)}{6\,x^3}-\frac{b\,c^{3/2}\,\mathrm{atan}\left(\sqrt{c}\,x\right)}{3}-\frac{b\,\ln\left(c\,x^2+1\right)}{6\,x^3}-\frac{2\,b\,c\,x^2+a}{3\,x^3}-\frac{b\,c^{3/2}\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(b*log(1 - c*x^2))/(6*x^3) - (b*c^(3/2)*atan(c^(1/2)*x))/3 - (b*c^(3/2)*atan(c^(1/2)*x*1i)*1i)/3 - (b*log(c*x^2 + 1))/(6*x^3) - (a + 2*b*c*x^2)/(3*x^3)","B"
63,1,71,63,1.026449,"\text{Not used}","int((a + b*atanh(c*x^2))/x^6,x)","\frac{b\,c^{5/2}\,\mathrm{atan}\left(\sqrt{c}\,x\right)}{5}-\frac{\frac{2\,b\,c\,x^2}{3}+a}{5\,x^5}-\frac{b\,\ln\left(c\,x^2+1\right)}{10\,x^5}+\frac{b\,\ln\left(1-c\,x^2\right)}{10\,x^5}-\frac{b\,c^{5/2}\,\mathrm{atan}\left(\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}","Not used",1,"(b*c^(5/2)*atan(c^(1/2)*x))/5 - (a + (2*b*c*x^2)/3)/(5*x^5) - (b*c^(5/2)*atan(c^(1/2)*x*1i)*1i)/5 - (b*log(c*x^2 + 1))/(10*x^5) + (b*log(1 - c*x^2))/(10*x^5)","B"
64,1,335,125,1.733078,"\text{Not used}","int(x^7*(a + b*atanh(c*x^2))^2,x)","\frac{a^2\,x^8}{8}+\frac{b^2\,\ln\left(c\,x^2-1\right)}{6\,c^4}+\frac{b^2\,\ln\left(c\,x^2+1\right)}{6\,c^4}-\frac{b^2\,{\ln\left(c\,x^2+1\right)}^2}{32\,c^4}-\frac{b^2\,{\ln\left(1-c\,x^2\right)}^2}{32\,c^4}+\frac{b^2\,x^4}{24\,c^2}+\frac{b^2\,x^8\,{\ln\left(c\,x^2+1\right)}^2}{32}+\frac{b^2\,x^8\,{\ln\left(1-c\,x^2\right)}^2}{32}+\frac{b^2\,x^2\,\ln\left(c\,x^2+1\right)}{8\,c^3}-\frac{b^2\,x^2\,\ln\left(1-c\,x^2\right)}{8\,c^3}+\frac{b^2\,x^6\,\ln\left(c\,x^2+1\right)}{24\,c}-\frac{b^2\,x^6\,\ln\left(1-c\,x^2\right)}{24\,c}+\frac{a\,b\,\ln\left(c\,x^2-1\right)}{8\,c^4}-\frac{a\,b\,\ln\left(c\,x^2+1\right)}{8\,c^4}+\frac{a\,b\,x^8\,\ln\left(c\,x^2+1\right)}{8}-\frac{a\,b\,x^8\,\ln\left(1-c\,x^2\right)}{8}+\frac{b^2\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{16\,c^4}+\frac{a\,b\,x^2}{4\,c^3}+\frac{a\,b\,x^6}{12\,c}-\frac{b^2\,x^8\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{16}","Not used",1,"(a^2*x^8)/8 + (b^2*log(c*x^2 - 1))/(6*c^4) + (b^2*log(c*x^2 + 1))/(6*c^4) - (b^2*log(c*x^2 + 1)^2)/(32*c^4) - (b^2*log(1 - c*x^2)^2)/(32*c^4) + (b^2*x^4)/(24*c^2) + (b^2*x^8*log(c*x^2 + 1)^2)/32 + (b^2*x^8*log(1 - c*x^2)^2)/32 + (b^2*x^2*log(c*x^2 + 1))/(8*c^3) - (b^2*x^2*log(1 - c*x^2))/(8*c^3) + (b^2*x^6*log(c*x^2 + 1))/(24*c) - (b^2*x^6*log(1 - c*x^2))/(24*c) + (a*b*log(c*x^2 - 1))/(8*c^4) - (a*b*log(c*x^2 + 1))/(8*c^4) + (a*b*x^8*log(c*x^2 + 1))/8 - (a*b*x^8*log(1 - c*x^2))/8 + (b^2*log(c*x^2 + 1)*log(1 - c*x^2))/(16*c^4) + (a*b*x^2)/(4*c^3) + (a*b*x^6)/(12*c) - (b^2*x^8*log(c*x^2 + 1)*log(1 - c*x^2))/16","B"
65,0,-1,146,0.000000,"\text{Not used}","int(x^5*(a + b*atanh(c*x^2))^2,x)","\int x^5\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x^5*(a + b*atanh(c*x^2))^2, x)","F"
66,1,275,91,1.261931,"\text{Not used}","int(x^3*(a + b*atanh(c*x^2))^2,x)","\frac{a^2\,x^4}{4}+\frac{b^2\,\ln\left(c\,x^2-1\right)}{4\,c^2}+\frac{b^2\,\ln\left(c\,x^2+1\right)}{4\,c^2}-\frac{b^2\,{\ln\left(c\,x^2+1\right)}^2}{16\,c^2}-\frac{b^2\,{\ln\left(1-c\,x^2\right)}^2}{16\,c^2}+\frac{b^2\,x^4\,{\ln\left(c\,x^2+1\right)}^2}{16}+\frac{b^2\,x^4\,{\ln\left(1-c\,x^2\right)}^2}{16}+\frac{b^2\,x^2\,\ln\left(c\,x^2+1\right)}{4\,c}-\frac{b^2\,x^2\,\ln\left(1-c\,x^2\right)}{4\,c}+\frac{a\,b\,\ln\left(c\,x^2-1\right)}{4\,c^2}-\frac{a\,b\,\ln\left(c\,x^2+1\right)}{4\,c^2}+\frac{a\,b\,x^4\,\ln\left(c\,x^2+1\right)}{4}-\frac{a\,b\,x^4\,\ln\left(1-c\,x^2\right)}{4}+\frac{b^2\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{8\,c^2}+\frac{a\,b\,x^2}{2\,c}-\frac{b^2\,x^4\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{8}","Not used",1,"(a^2*x^4)/4 + (b^2*log(c*x^2 - 1))/(4*c^2) + (b^2*log(c*x^2 + 1))/(4*c^2) - (b^2*log(c*x^2 + 1)^2)/(16*c^2) - (b^2*log(1 - c*x^2)^2)/(16*c^2) + (b^2*x^4*log(c*x^2 + 1)^2)/16 + (b^2*x^4*log(1 - c*x^2)^2)/16 + (b^2*x^2*log(c*x^2 + 1))/(4*c) - (b^2*x^2*log(1 - c*x^2))/(4*c) + (a*b*log(c*x^2 - 1))/(4*c^2) - (a*b*log(c*x^2 + 1))/(4*c^2) + (a*b*x^4*log(c*x^2 + 1))/4 - (a*b*x^4*log(1 - c*x^2))/4 + (b^2*log(c*x^2 + 1)*log(1 - c*x^2))/(8*c^2) + (a*b*x^2)/(2*c) - (b^2*x^4*log(c*x^2 + 1)*log(1 - c*x^2))/8","B"
67,0,-1,94,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x^2))^2,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*atanh(c*x^2))^2, x)","F"
68,0,-1,137,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/x, x)","F"
69,0,-1,87,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/x^3, x)","F"
70,1,278,88,1.497740,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x^5,x)","\frac{b^2\,c^2\,{\ln\left(c\,x^2+1\right)}^2}{16}-\frac{b^2\,c^2\,\ln\left(c\,x^2-1\right)}{4}-\frac{b^2\,c^2\,\ln\left(c\,x^2+1\right)}{4}-\frac{a^2}{4\,x^4}+\frac{b^2\,c^2\,{\ln\left(1-c\,x^2\right)}^2}{16}-\frac{b^2\,{\ln\left(c\,x^2+1\right)}^2}{16\,x^4}-\frac{b^2\,{\ln\left(1-c\,x^2\right)}^2}{16\,x^4}+b^2\,c^2\,\ln\left(x\right)-\frac{a\,b\,c^2\,\ln\left(c\,x^2-1\right)}{4}+\frac{a\,b\,c^2\,\ln\left(c\,x^2+1\right)}{4}-\frac{a\,b\,c}{2\,x^2}-\frac{a\,b\,\ln\left(c\,x^2+1\right)}{4\,x^4}+\frac{a\,b\,\ln\left(1-c\,x^2\right)}{4\,x^4}-\frac{b^2\,c^2\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{8}-\frac{b^2\,c\,\ln\left(c\,x^2+1\right)}{4\,x^2}+\frac{b^2\,c\,\ln\left(1-c\,x^2\right)}{4\,x^2}+\frac{b^2\,\ln\left(c\,x^2+1\right)\,\ln\left(1-c\,x^2\right)}{8\,x^4}","Not used",1,"(b^2*c^2*log(c*x^2 + 1)^2)/16 - (b^2*c^2*log(c*x^2 - 1))/4 - (b^2*c^2*log(c*x^2 + 1))/4 - a^2/(4*x^4) + (b^2*c^2*log(1 - c*x^2)^2)/16 - (b^2*log(c*x^2 + 1)^2)/(16*x^4) - (b^2*log(1 - c*x^2)^2)/(16*x^4) + b^2*c^2*log(x) - (a*b*c^2*log(c*x^2 - 1))/4 + (a*b*c^2*log(c*x^2 + 1))/4 - (a*b*c)/(2*x^2) - (a*b*log(c*x^2 + 1))/(4*x^4) + (a*b*log(1 - c*x^2))/(4*x^4) - (b^2*c^2*log(c*x^2 + 1)*log(1 - c*x^2))/8 - (b^2*c*log(c*x^2 + 1))/(4*x^2) + (b^2*c*log(1 - c*x^2))/(4*x^2) + (b^2*log(c*x^2 + 1)*log(1 - c*x^2))/(8*x^4)","B"
71,0,-1,1173,0.000000,"\text{Not used}","int(x^4*(a + b*atanh(c*x^2))^2,x)","\int x^4\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x^4*(a + b*atanh(c*x^2))^2, x)","F"
72,0,-1,1129,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x^2))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x^2))^2, x)","F"
73,0,-1,958,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2, x)","F"
74,0,-1,942,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/x^2, x)","F"
75,0,-1,1102,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/x^4, x)","F"
76,0,-1,1176,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/x^6,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{x^6} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/x^6, x)","F"
77,0,-1,141,0.000000,"\text{Not used}","int(x^3*(a + b*atanh(c*x^2))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atanh(c*x^2))^3, x)","F"
78,0,-1,134,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x^2))^3,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atanh(c*x^2))^3, x)","F"
79,0,-1,207,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^3/x, x)","F"
80,0,-1,125,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^3/x^3, x)","F"
81,0,-1,139,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^3/x^5,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3}{x^5} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^3/x^5, x)","F"
82,0,-1,317,0.000000,"\text{Not used}","int((d*x)^(5/2)*(a + b*atanh(c*x^2)),x)","\int {\left(d\,x\right)}^{5/2}\,\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right) \,d x","Not used",1,"int((d*x)^(5/2)*(a + b*atanh(c*x^2)), x)","F"
83,0,-1,317,0.000000,"\text{Not used}","int((d*x)^(3/2)*(a + b*atanh(c*x^2)),x)","\int {\left(d\,x\right)}^{3/2}\,\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right) \,d x","Not used",1,"int((d*x)^(3/2)*(a + b*atanh(c*x^2)), x)","F"
84,0,-1,301,0.000000,"\text{Not used}","int((d*x)^(1/2)*(a + b*atanh(c*x^2)),x)","\int \sqrt{d\,x}\,\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right) \,d x","Not used",1,"int((d*x)^(1/2)*(a + b*atanh(c*x^2)), x)","F"
85,0,-1,285,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d*x)^(1/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{\sqrt{d\,x}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d*x)^(1/2), x)","F"
86,0,-1,285,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d*x)^(3/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{{\left(d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d*x)^(3/2), x)","F"
87,0,-1,301,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d*x)^(5/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{{\left(d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d*x)^(5/2), x)","F"
88,0,-1,317,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d*x)^(7/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{{\left(d\,x\right)}^{7/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d*x)^(7/2), x)","F"
89,0,-1,317,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d*x)^(9/2),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{{\left(d\,x\right)}^{9/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d*x)^(9/2), x)","F"
90,0,-1,6327,0.000000,"\text{Not used}","int((d*x)^(1/2)*(a + b*atanh(c*x^2))^2,x)","\int \sqrt{d\,x}\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int((d*x)^(1/2)*(a + b*atanh(c*x^2))^2, x)","F"
91,0,-1,6177,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/(d*x)^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{\sqrt{d\,x}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/(d*x)^(1/2), x)","F"
92,0,-1,6334,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/(d*x)^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{{\left(d\,x\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/(d*x)^(3/2), x)","F"
93,0,-1,6520,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/(d*x)^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{{\left(d\,x\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2/(d*x)^(5/2), x)","F"
94,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^2))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^2))^3, x)","F"
95,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^2))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^2))^2, x)","F"
96,0,-1,74,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^2)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atanh(c*x^2)), x)","F"
97,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^2)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atanh}\left(c\,x^2\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^2)), x)","F"
98,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^2))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^2))^2, x)","F"
99,1,69,54,1.108005,"\text{Not used}","int(x^11*(a + b*atanh(c*x^3)),x)","\frac{a\,x^{12}}{12}+\frac{b\,x^3}{12\,c^3}+\frac{b\,x^9}{36\,c}+\frac{b\,x^{12}\,\ln\left(c\,x^3+1\right)}{24}-\frac{b\,x^{12}\,\ln\left(1-c\,x^3\right)}{24}+\frac{b\,\mathrm{atan}\left(c\,x^3\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{12\,c^4}","Not used",1,"(a*x^12)/12 + (b*x^3)/(12*c^3) + (b*x^9)/(36*c) + (b*atan(c*x^3*1i)*1i)/(12*c^4) + (b*x^12*log(c*x^3 + 1))/24 - (b*x^12*log(1 - c*x^3))/24","B"
100,1,61,48,0.824143,"\text{Not used}","int(x^8*(a + b*atanh(c*x^3)),x)","\frac{a\,x^9}{9}+\frac{b\,\ln\left(c^2\,x^6-1\right)}{18\,c^3}+\frac{b\,x^6}{18\,c}+\frac{b\,x^9\,\ln\left(c\,x^3+1\right)}{18}-\frac{b\,x^9\,\ln\left(1-c\,x^3\right)}{18}","Not used",1,"(a*x^9)/9 + (b*log(c^2*x^6 - 1))/(18*c^3) + (b*x^6)/(18*c) + (b*x^9*log(c*x^3 + 1))/18 - (b*x^9*log(1 - c*x^3))/18","B"
101,1,60,43,0.957116,"\text{Not used}","int(x^5*(a + b*atanh(c*x^3)),x)","\frac{a\,x^6}{6}+\frac{b\,x^3}{6\,c}+\frac{b\,x^6\,\ln\left(c\,x^3+1\right)}{12}-\frac{b\,x^6\,\ln\left(1-c\,x^3\right)}{12}+\frac{b\,\mathrm{atan}\left(c\,x^3\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,c^2}","Not used",1,"(a*x^6)/6 + (b*x^3)/(6*c) + (b*atan(c*x^3*1i)*1i)/(6*c^2) + (b*x^6*log(c*x^3 + 1))/12 - (b*x^6*log(1 - c*x^3))/12","B"
102,1,52,37,0.780213,"\text{Not used}","int(x^2*(a + b*atanh(c*x^3)),x)","\frac{a\,x^3}{3}+\frac{b\,\ln\left(c^2\,x^6-1\right)}{6\,c}+\frac{b\,x^3\,\ln\left(c\,x^3+1\right)}{6}-\frac{b\,x^3\,\ln\left(1-c\,x^3\right)}{6}","Not used",1,"(a*x^3)/3 + (b*log(c^2*x^6 - 1))/(6*c) + (b*x^3*log(c*x^3 + 1))/6 - (b*x^3*log(1 - c*x^3))/6","B"
103,0,-1,30,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^3\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^3))/x, x)","F"
104,1,55,40,0.853396,"\text{Not used}","int((a + b*atanh(c*x^3))/x^4,x)","b\,c\,\ln\left(x\right)-\frac{a}{3\,x^3}-\frac{b\,c\,\ln\left(c^2\,x^6-1\right)}{6}-\frac{b\,\ln\left(c\,x^3+1\right)}{6\,x^3}+\frac{b\,\ln\left(1-c\,x^3\right)}{6\,x^3}","Not used",1,"b*c*log(x) - a/(3*x^3) - (b*c*log(c^2*x^6 - 1))/6 - (b*log(c*x^3 + 1))/(6*x^3) + (b*log(1 - c*x^3))/(6*x^3)","B"
105,1,52,41,1.022409,"\text{Not used}","int((a + b*atanh(c*x^3))/x^7,x)","\frac{b\,c^2\,\mathrm{atanh}\left(c\,x^3\right)}{6}-\frac{\frac{a}{6}+\frac{b\,\ln\left(c\,x^3+1\right)}{12}-\frac{b\,\ln\left(1-c\,x^3\right)}{12}+\frac{b\,c\,x^3}{6}}{x^6}","Not used",1,"(b*c^2*atanh(c*x^3))/6 - (a/6 + (b*log(c*x^3 + 1))/12 - (b*log(1 - c*x^3))/12 + (b*c*x^3)/6)/x^6","B"
106,1,67,56,0.901404,"\text{Not used}","int((a + b*atanh(c*x^3))/x^10,x)","\frac{b\,c^3\,\ln\left(x\right)}{3}-\frac{b\,c^3\,\ln\left(c^2\,x^6-1\right)}{18}-\frac{a}{9\,x^9}-\frac{b\,c}{18\,x^6}-\frac{b\,\ln\left(c\,x^3+1\right)}{18\,x^9}+\frac{b\,\ln\left(1-c\,x^3\right)}{18\,x^9}","Not used",1,"(b*c^3*log(x))/3 - (b*c^3*log(c^2*x^6 - 1))/18 - a/(9*x^9) - (b*c)/(18*x^6) - (b*log(c*x^3 + 1))/(18*x^9) + (b*log(1 - c*x^3))/(18*x^9)","B"
107,1,125,174,1.573607,"\text{Not used}","int(x^3*(a + b*atanh(c*x^3)),x)","\frac{a\,x^4}{4}+\frac{b\,\left(-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)}{2}+\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(c^{1/3}\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{4\,c^{4/3}}+\frac{3\,b\,x}{4\,c}+\frac{b\,x^4\,\ln\left(c\,x^3+1\right)}{8}-\frac{b\,x^4\,\ln\left(1-c\,x^3\right)}{8}-\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)\right)}{8\,c^{4/3}}","Not used",1,"(a*x^4)/4 + (b*(atan((c^(1/3)*x*(3^(1/2) + 1i))/2)/2 - atan((c^(1/3)*x*(3^(1/2) - 1i))/2)/2 + atan(c^(1/3)*x*1i))*1i)/(4*c^(4/3)) + (3*b*x)/(4*c) + (b*x^4*log(c*x^3 + 1))/8 - (b*x^4*log(1 - c*x^3))/8 - (3^(1/2)*b*(atan((c^(1/3)*x*(3^(1/2) - 1i))/2) + atan((c^(1/3)*x*(3^(1/2) + 1i))/2)))/(8*c^(4/3))","B"
108,1,107,101,2.756868,"\text{Not used}","int(a + b*atanh(c*x^3),x)","a\,x+\frac{b\,\ln\left(c^{2/3}\,x^2-1\right)}{2\,c^{1/3}}-\frac{\ln\left(4\,c^{2/3}\,x^2+2-\sqrt{3}\,2{}\mathrm{i}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4\,c^{1/3}}-\frac{\ln\left(4\,c^{2/3}\,x^2+2+\sqrt{3}\,2{}\mathrm{i}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4\,c^{1/3}}+\frac{b\,x\,\ln\left(c\,x^3+1\right)}{2}-\frac{b\,x\,\ln\left(1-c\,x^3\right)}{2}","Not used",1,"a*x + (b*log(c^(2/3)*x^2 - 1))/(2*c^(1/3)) - (log(4*c^(2/3)*x^2 - 3^(1/2)*2i + 2)*(b + 3^(1/2)*b*1i))/(4*c^(1/3)) - (log(3^(1/2)*2i + 4*c^(2/3)*x^2 + 2)*(b - 3^(1/2)*b*1i))/(4*c^(1/3)) + (b*x*log(c*x^3 + 1))/2 - (b*x*log(1 - c*x^3))/2","B"
109,1,118,165,1.470483,"\text{Not used}","int((a + b*atanh(c*x^3))/x^3,x)","\frac{b\,\ln\left(1-c\,x^3\right)}{4\,x^2}-\frac{b\,c^{2/3}\,\left(-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)}{2}+\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(c^{1/3}\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2}-\frac{b\,\ln\left(c\,x^3+1\right)}{4\,x^2}-\frac{a}{2\,x^2}+\frac{\sqrt{3}\,b\,c^{2/3}\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)\right)}{4}","Not used",1,"(b*log(1 - c*x^3))/(4*x^2) - (b*c^(2/3)*(atan((c^(1/3)*x*(3^(1/2) + 1i))/2)/2 - atan((c^(1/3)*x*(3^(1/2) - 1i))/2)/2 + atan(c^(1/3)*x*1i))*1i)/2 - (b*log(c*x^3 + 1))/(4*x^2) - a/(2*x^2) + (3^(1/2)*b*c^(2/3)*(atan((c^(1/3)*x*(3^(1/2) - 1i))/2) + atan((c^(1/3)*x*(3^(1/2) + 1i))/2)))/4","B"
110,1,135,115,3.118883,"\text{Not used}","int((a + b*atanh(c*x^3))/x^6,x)","\frac{b\,\ln\left(1-c\,x^3\right)}{10\,x^5}-\frac{b\,c^{5/3}\,\ln\left(c^{2/3}\,x^2-1\right)}{10}-\frac{b\,\ln\left(c\,x^3+1\right)}{10\,x^5}-\frac{\frac{3\,b\,c\,x^3}{2}+a}{5\,x^5}+\frac{b\,c^{5/3}\,\ln\left(\sqrt{3}\,c^{2/3}\,x^2-c^{2/3}\,x^2\,1{}\mathrm{i}-2{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{20}-\frac{b\,c^{5/3}\,\ln\left(-c^{2/3}\,x^2\,1{}\mathrm{i}-\sqrt{3}\,c^{2/3}\,x^2-2{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{20}","Not used",1,"(b*log(1 - c*x^3))/(10*x^5) - (b*c^(5/3)*log(c^(2/3)*x^2 - 1))/10 - (b*log(c*x^3 + 1))/(10*x^5) - (a + (3*b*c*x^3)/2)/(5*x^5) + (b*c^(5/3)*log(3^(1/2)*c^(2/3)*x^2 - c^(2/3)*x^2*1i - 2i)*(3^(1/2)*1i + 1))/20 - (b*c^(5/3)*log(- c^(2/3)*x^2*1i - 3^(1/2)*c^(2/3)*x^2 - 2i)*(3^(1/2)*1i - 1))/20","B"
111,1,127,176,1.258982,"\text{Not used}","int(x^7*(a + b*atanh(c*x^3)),x)","\frac{a\,x^8}{8}+\frac{b\,\left(-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)}{2}+\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(c^{1/3}\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{8\,c^{8/3}}+\frac{3\,b\,x^5}{40\,c}+\frac{b\,x^8\,\ln\left(c\,x^3+1\right)}{16}-\frac{b\,x^8\,\ln\left(1-c\,x^3\right)}{16}+\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)\right)}{16\,c^{8/3}}","Not used",1,"(a*x^8)/8 + (b*(atan((c^(1/3)*x*(3^(1/2) + 1i))/2)/2 - atan((c^(1/3)*x*(3^(1/2) - 1i))/2)/2 + atan(c^(1/3)*x*1i))*1i)/(8*c^(8/3)) + (3*b*x^5)/(40*c) + (b*x^8*log(c*x^3 + 1))/16 - (b*x^8*log(1 - c*x^3))/16 + (3^(1/2)*b*(atan((c^(1/3)*x*(3^(1/2) - 1i))/2) + atan((c^(1/3)*x*(3^(1/2) + 1i))/2)))/(16*c^(8/3))","B"
112,1,124,117,2.437785,"\text{Not used}","int(x^4*(a + b*atanh(c*x^3)),x)","\frac{a\,x^5}{5}+\frac{b\,\ln\left(1-c^{2/3}\,x^2\right)}{10\,c^{5/3}}+\frac{3\,b\,x^2}{10\,c}-\frac{\ln\left(2\,c^{2/3}\,x^2+1-\sqrt{3}\,1{}\mathrm{i}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{20\,c^{5/3}}-\frac{\ln\left(2\,c^{2/3}\,x^2+1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{20\,c^{5/3}}+\frac{b\,x^5\,\ln\left(c\,x^3+1\right)}{10}-\frac{b\,x^5\,\ln\left(1-c\,x^3\right)}{10}","Not used",1,"(a*x^5)/5 + (b*log(1 - c^(2/3)*x^2))/(10*c^(5/3)) + (3*b*x^2)/(10*c) - (log(2*c^(2/3)*x^2 - 3^(1/2)*1i + 1)*(b - 3^(1/2)*b*1i))/(20*c^(5/3)) - (log(3^(1/2)*1i + 2*c^(2/3)*x^2 + 1)*(b + 3^(1/2)*b*1i))/(20*c^(5/3)) + (b*x^5*log(c*x^3 + 1))/10 - (b*x^5*log(1 - c*x^3))/10","B"
113,1,118,165,1.247866,"\text{Not used}","int(x*(a + b*atanh(c*x^3)),x)","\frac{a\,x^2}{2}+\frac{b\,\left(-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)}{2}+\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(c^{1/3}\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2\,c^{2/3}}+\frac{b\,x^2\,\ln\left(c\,x^3+1\right)}{4}-\frac{b\,x^2\,\ln\left(1-c\,x^3\right)}{4}+\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)\right)}{4\,c^{2/3}}","Not used",1,"(a*x^2)/2 + (b*(atan((c^(1/3)*x*(3^(1/2) + 1i))/2)/2 - atan((c^(1/3)*x*(3^(1/2) - 1i))/2)/2 + atan(c^(1/3)*x*1i))*1i)/(2*c^(2/3)) + (b*x^2*log(c*x^3 + 1))/4 - (b*x^2*log(1 - c*x^3))/4 + (3^(1/2)*b*(atan((c^(1/3)*x*(3^(1/2) - 1i))/2) + atan((c^(1/3)*x*(3^(1/2) + 1i))/2)))/(4*c^(2/3))","B"
114,1,117,104,2.386963,"\text{Not used}","int((a + b*atanh(c*x^3))/x^2,x)","\frac{b\,\ln\left(1-c\,x^3\right)}{2\,x}-\frac{b\,c^{1/3}\,\ln\left(1-c^{2/3}\,x^2\right)}{2}-\frac{b\,\ln\left(c\,x^3+1\right)}{2\,x}-\frac{a}{x}-\frac{b\,c^{1/3}\,\ln\left(-\sqrt{3}-c^{2/3}\,x^2\,2{}\mathrm{i}-\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}+\frac{b\,c^{1/3}\,\ln\left(-\sqrt{3}+c^{2/3}\,x^2\,2{}\mathrm{i}+1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}","Not used",1,"(b*log(1 - c*x^3))/(2*x) - (b*c^(1/3)*log(1 - c^(2/3)*x^2))/2 - (b*log(c*x^3 + 1))/(2*x) - a/x - (b*c^(1/3)*log(- 3^(1/2) - c^(2/3)*x^2*2i - 1i)*(3^(1/2)*1i - 1))/4 + (b*c^(1/3)*log(c^(2/3)*x^2*2i - 3^(1/2) + 1i)*(3^(1/2)*1i + 1))/4","B"
115,1,125,174,1.275777,"\text{Not used}","int((a + b*atanh(c*x^3))/x^5,x)","\frac{b\,\ln\left(1-c\,x^3\right)}{8\,x^4}-\frac{b\,c^{4/3}\,\left(-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)}{2}+\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(c^{1/3}\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{4}-\frac{3\,b\,c}{4\,x}-\frac{b\,\ln\left(c\,x^3+1\right)}{8\,x^4}-\frac{a}{4\,x^4}-\frac{\sqrt{3}\,b\,c^{4/3}\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}-\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(\sqrt{3}+1{}\mathrm{i}\right)}{2}\right)\right)}{8}","Not used",1,"(b*log(1 - c*x^3))/(8*x^4) - (b*c^(4/3)*(atan((c^(1/3)*x*(3^(1/2) + 1i))/2)/2 - atan((c^(1/3)*x*(3^(1/2) - 1i))/2)/2 + atan(c^(1/3)*x*1i))*1i)/4 - (3*b*c)/(4*x) - (b*log(c*x^3 + 1))/(8*x^4) - a/(4*x^4) - (3^(1/2)*b*c^(4/3)*(atan((c^(1/3)*x*(3^(1/2) - 1i))/2) + atan((c^(1/3)*x*(3^(1/2) + 1i))/2)))/8","B"
116,1,335,125,1.596219,"\text{Not used}","int(x^11*(a + b*atanh(c*x^3))^2,x)","\frac{a^2\,x^{12}}{12}+\frac{b^2\,\ln\left(c\,x^3-1\right)}{9\,c^4}+\frac{b^2\,\ln\left(c\,x^3+1\right)}{9\,c^4}-\frac{b^2\,{\ln\left(c\,x^3+1\right)}^2}{48\,c^4}-\frac{b^2\,{\ln\left(1-c\,x^3\right)}^2}{48\,c^4}+\frac{b^2\,x^6}{36\,c^2}+\frac{b^2\,x^{12}\,{\ln\left(c\,x^3+1\right)}^2}{48}+\frac{b^2\,x^{12}\,{\ln\left(1-c\,x^3\right)}^2}{48}+\frac{b^2\,x^3\,\ln\left(c\,x^3+1\right)}{12\,c^3}-\frac{b^2\,x^3\,\ln\left(1-c\,x^3\right)}{12\,c^3}+\frac{b^2\,x^9\,\ln\left(c\,x^3+1\right)}{36\,c}-\frac{b^2\,x^9\,\ln\left(1-c\,x^3\right)}{36\,c}+\frac{a\,b\,\ln\left(c\,x^3-1\right)}{12\,c^4}-\frac{a\,b\,\ln\left(c\,x^3+1\right)}{12\,c^4}+\frac{a\,b\,x^{12}\,\ln\left(c\,x^3+1\right)}{12}-\frac{a\,b\,x^{12}\,\ln\left(1-c\,x^3\right)}{12}+\frac{b^2\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{24\,c^4}+\frac{a\,b\,x^3}{6\,c^3}+\frac{a\,b\,x^9}{18\,c}-\frac{b^2\,x^{12}\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{24}","Not used",1,"(a^2*x^12)/12 + (b^2*log(c*x^3 - 1))/(9*c^4) + (b^2*log(c*x^3 + 1))/(9*c^4) - (b^2*log(c*x^3 + 1)^2)/(48*c^4) - (b^2*log(1 - c*x^3)^2)/(48*c^4) + (b^2*x^6)/(36*c^2) + (b^2*x^12*log(c*x^3 + 1)^2)/48 + (b^2*x^12*log(1 - c*x^3)^2)/48 + (b^2*x^3*log(c*x^3 + 1))/(12*c^3) - (b^2*x^3*log(1 - c*x^3))/(12*c^3) + (b^2*x^9*log(c*x^3 + 1))/(36*c) - (b^2*x^9*log(1 - c*x^3))/(36*c) + (a*b*log(c*x^3 - 1))/(12*c^4) - (a*b*log(c*x^3 + 1))/(12*c^4) + (a*b*x^12*log(c*x^3 + 1))/12 - (a*b*x^12*log(1 - c*x^3))/12 + (b^2*log(c*x^3 + 1)*log(1 - c*x^3))/(24*c^4) + (a*b*x^3)/(6*c^3) + (a*b*x^9)/(18*c) - (b^2*x^12*log(c*x^3 + 1)*log(1 - c*x^3))/24","B"
117,0,-1,146,0.000000,"\text{Not used}","int(x^8*(a + b*atanh(c*x^3))^2,x)","\int x^8\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2 \,d x","Not used",1,"int(x^8*(a + b*atanh(c*x^3))^2, x)","F"
118,1,275,91,1.246811,"\text{Not used}","int(x^5*(a + b*atanh(c*x^3))^2,x)","\frac{a^2\,x^6}{6}+\frac{b^2\,\ln\left(c\,x^3-1\right)}{6\,c^2}+\frac{b^2\,\ln\left(c\,x^3+1\right)}{6\,c^2}-\frac{b^2\,{\ln\left(c\,x^3+1\right)}^2}{24\,c^2}-\frac{b^2\,{\ln\left(1-c\,x^3\right)}^2}{24\,c^2}+\frac{b^2\,x^6\,{\ln\left(c\,x^3+1\right)}^2}{24}+\frac{b^2\,x^6\,{\ln\left(1-c\,x^3\right)}^2}{24}+\frac{b^2\,x^3\,\ln\left(c\,x^3+1\right)}{6\,c}-\frac{b^2\,x^3\,\ln\left(1-c\,x^3\right)}{6\,c}+\frac{a\,b\,\ln\left(c\,x^3-1\right)}{6\,c^2}-\frac{a\,b\,\ln\left(c\,x^3+1\right)}{6\,c^2}+\frac{a\,b\,x^6\,\ln\left(c\,x^3+1\right)}{6}-\frac{a\,b\,x^6\,\ln\left(1-c\,x^3\right)}{6}+\frac{b^2\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{12\,c^2}+\frac{a\,b\,x^3}{3\,c}-\frac{b^2\,x^6\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{12}","Not used",1,"(a^2*x^6)/6 + (b^2*log(c*x^3 - 1))/(6*c^2) + (b^2*log(c*x^3 + 1))/(6*c^2) - (b^2*log(c*x^3 + 1)^2)/(24*c^2) - (b^2*log(1 - c*x^3)^2)/(24*c^2) + (b^2*x^6*log(c*x^3 + 1)^2)/24 + (b^2*x^6*log(1 - c*x^3)^2)/24 + (b^2*x^3*log(c*x^3 + 1))/(6*c) - (b^2*x^3*log(1 - c*x^3))/(6*c) + (a*b*log(c*x^3 - 1))/(6*c^2) - (a*b*log(c*x^3 + 1))/(6*c^2) + (a*b*x^6*log(c*x^3 + 1))/6 - (a*b*x^6*log(1 - c*x^3))/6 + (b^2*log(c*x^3 + 1)*log(1 - c*x^3))/(12*c^2) + (a*b*x^3)/(3*c) - (b^2*x^6*log(c*x^3 + 1)*log(1 - c*x^3))/12","B"
119,0,-1,96,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x^3))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x^3))^2, x)","F"
120,0,-1,140,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^2/x, x)","F"
121,0,-1,90,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^2/x^4, x)","F"
122,1,278,88,1.543230,"\text{Not used}","int((a + b*atanh(c*x^3))^2/x^7,x)","\frac{b^2\,c^2\,{\ln\left(c\,x^3+1\right)}^2}{24}-\frac{b^2\,c^2\,\ln\left(c\,x^3-1\right)}{6}-\frac{b^2\,c^2\,\ln\left(c\,x^3+1\right)}{6}-\frac{a^2}{6\,x^6}+\frac{b^2\,c^2\,{\ln\left(1-c\,x^3\right)}^2}{24}-\frac{b^2\,{\ln\left(c\,x^3+1\right)}^2}{24\,x^6}-\frac{b^2\,{\ln\left(1-c\,x^3\right)}^2}{24\,x^6}+b^2\,c^2\,\ln\left(x\right)-\frac{a\,b\,c^2\,\ln\left(c\,x^3-1\right)}{6}+\frac{a\,b\,c^2\,\ln\left(c\,x^3+1\right)}{6}-\frac{a\,b\,c}{3\,x^3}-\frac{a\,b\,\ln\left(c\,x^3+1\right)}{6\,x^6}+\frac{a\,b\,\ln\left(1-c\,x^3\right)}{6\,x^6}-\frac{b^2\,c^2\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{12}-\frac{b^2\,c\,\ln\left(c\,x^3+1\right)}{6\,x^3}+\frac{b^2\,c\,\ln\left(1-c\,x^3\right)}{6\,x^3}+\frac{b^2\,\ln\left(c\,x^3+1\right)\,\ln\left(1-c\,x^3\right)}{12\,x^6}","Not used",1,"(b^2*c^2*log(c*x^3 + 1)^2)/24 - (b^2*c^2*log(c*x^3 - 1))/6 - (b^2*c^2*log(c*x^3 + 1))/6 - a^2/(6*x^6) + (b^2*c^2*log(1 - c*x^3)^2)/24 - (b^2*log(c*x^3 + 1)^2)/(24*x^6) - (b^2*log(1 - c*x^3)^2)/(24*x^6) + b^2*c^2*log(x) - (a*b*c^2*log(c*x^3 - 1))/6 + (a*b*c^2*log(c*x^3 + 1))/6 - (a*b*c)/(3*x^3) - (a*b*log(c*x^3 + 1))/(6*x^6) + (a*b*log(1 - c*x^3))/(6*x^6) - (b^2*c^2*log(c*x^3 + 1)*log(1 - c*x^3))/12 - (b^2*c*log(c*x^3 + 1))/(6*x^3) + (b^2*c*log(1 - c*x^3))/(6*x^3) + (b^2*log(c*x^3 + 1)*log(1 - c*x^3))/(12*x^6)","B"
123,0,-1,144,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^2/x^10,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2}{x^{10}} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^2/x^10, x)","F"
124,0,-1,231,0.000000,"\text{Not used}","int(x^8*(a + b*atanh(c*x^3))^3,x)","\int x^8\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^8*(a + b*atanh(c*x^3))^3, x)","F"
125,0,-1,139,0.000000,"\text{Not used}","int(x^5*(a + b*atanh(c*x^3))^3,x)","\int x^5\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^5*(a + b*atanh(c*x^3))^3, x)","F"
126,0,-1,130,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x^3))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x^3))^3, x)","F"
127,0,-1,210,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^3/x, x)","F"
128,0,-1,120,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^3/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^3/x^4, x)","F"
129,0,-1,136,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))^3/x^7,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3}{x^7} \,d x","Not used",1,"int((a + b*atanh(c*x^3))^3/x^7, x)","F"
130,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^3))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^3))^3, x)","F"
131,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^3))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^3))^2, x)","F"
132,0,-1,74,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^3)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atanh(c*x^3)), x)","F"
133,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^3)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atanh}\left(c\,x^3\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^3)), x)","F"
134,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^3))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atanh}\left(c\,x^3\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^3))^2, x)","F"
135,1,45,50,0.778600,"\text{Not used}","int(x^3*(a + b*atanh(c/x)),x)","\frac{a\,x^4}{4}-\frac{b\,c^4\,\mathrm{atanh}\left(\frac{c}{x}\right)}{4}+\frac{b\,x^4\,\mathrm{atanh}\left(\frac{c}{x}\right)}{4}+\frac{b\,c\,x^3}{12}+\frac{b\,c^3\,x}{4}","Not used",1,"(a*x^4)/4 - (b*c^4*atanh(c/x))/4 + (b*x^4*atanh(c/x))/4 + (b*c*x^3)/12 + (b*c^3*x)/4","B"
136,1,42,45,0.718507,"\text{Not used}","int(x^2*(a + b*atanh(c/x)),x)","\frac{a\,x^3}{3}+\frac{b\,c^3\,\ln\left(x^2-c^2\right)}{6}+\frac{b\,x^3\,\mathrm{atanh}\left(\frac{c}{x}\right)}{3}+\frac{b\,c\,x^2}{6}","Not used",1,"(a*x^3)/3 + (b*c^3*log(x^2 - c^2))/6 + (b*x^3*atanh(c/x))/3 + (b*c*x^2)/6","B"
137,1,36,39,0.735154,"\text{Not used}","int(x*(a + b*atanh(c/x)),x)","\frac{a\,x^2}{2}-\frac{b\,c^2\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2}+\frac{b\,x^2\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2}+\frac{b\,c\,x}{2}","Not used",1,"(a*x^2)/2 - (b*c^2*atanh(c/x))/2 + (b*x^2*atanh(c/x))/2 + (b*c*x)/2","B"
138,1,27,29,0.679479,"\text{Not used}","int(a + b*atanh(c/x),x)","a\,x+b\,x\,\mathrm{atanh}\left(\frac{c}{x}\right)+\frac{b\,c\,\ln\left(x^2-c^2\right)}{2}","Not used",1,"a*x + b*x*atanh(c/x) + (b*c*log(x^2 - c^2))/2","B"
139,0,-1,30,0.000000,"\text{Not used}","int((a + b*atanh(c/x))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c/x))/x, x)","F"
140,1,43,35,0.744517,"\text{Not used}","int((a + b*atanh(c/x))/x^2,x)","\frac{b\,x\,\ln\left(x\right)-\frac{b\,x\,\ln\left(x^2-c^2\right)}{2}}{c\,x}-\frac{a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)}{x}","Not used",1,"(b*x*log(x) - (b*x*log(x^2 - c^2))/2)/(c*x) - (a + b*atanh(c/x))/x","B"
141,1,49,43,0.709113,"\text{Not used}","int((a + b*atanh(c/x))/x^3,x)","\frac{b\,c\,\mathrm{atan}\left(\frac{x}{\sqrt{-c^2}}\right)}{2\,{\left(-c^2\right)}^{3/2}}-\frac{b}{2\,c\,x}-\frac{b\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2\,x^2}-\frac{a}{2\,x^2}","Not used",1,"(b*c*atan(x/(-c^2)^(1/2)))/(2*(-c^2)^(3/2)) - b/(2*c*x) - (b*atanh(c/x))/(2*x^2) - a/(2*x^2)","B"
142,1,59,57,0.750474,"\text{Not used}","int((a + b*atanh(c/x))/x^4,x)","-\frac{\frac{a}{3}+\frac{b\,\mathrm{atanh}\left(\frac{c}{x}\right)}{3}}{x^3}-\frac{\frac{b\,x^3\,\ln\left(x^2-c^2\right)}{6}-\frac{b\,x^3\,\ln\left(x\right)}{3}+\frac{b\,c^2\,x}{6}}{c^3\,x^3}","Not used",1,"- (a/3 + (b*atanh(c/x))/3)/x^3 - ((b*x^3*log(x^2 - c^2))/6 - (b*x^3*log(x))/3 + (b*c^2*x)/6)/(c^3*x^3)","B"
143,1,142,123,0.892456,"\text{Not used}","int(x^3*(a + b*atanh(c/x))^2,x)","\frac{a^2\,x^4}{4}-\frac{b^2\,c^4\,{\mathrm{atanh}\left(\frac{c}{x}\right)}^2}{4}+\frac{b^2\,x^4\,{\mathrm{atanh}\left(\frac{c}{x}\right)}^2}{4}+\frac{b^2\,c^4\,\ln\left(x^2-c^2\right)}{3}+\frac{b^2\,c^2\,x^2}{12}+\frac{b^2\,c\,x^3\,\mathrm{atanh}\left(\frac{c}{x}\right)}{6}+\frac{b^2\,c^3\,x\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2}+\frac{a\,b\,c\,x^3}{6}+\frac{a\,b\,c^3\,x}{2}-\frac{a\,b\,c^4\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2}+\frac{a\,b\,x^4\,\mathrm{atanh}\left(\frac{c}{x}\right)}{2}","Not used",1,"(a^2*x^4)/4 - (b^2*c^4*atanh(c/x)^2)/4 + (b^2*x^4*atanh(c/x)^2)/4 + (b^2*c^4*log(x^2 - c^2))/3 + (b^2*c^2*x^2)/12 + (b^2*c*x^3*atanh(c/x))/6 + (b^2*c^3*x*atanh(c/x))/2 + (a*b*c*x^3)/6 + (a*b*c^3*x)/2 - (a*b*c^4*atanh(c/x))/2 + (a*b*x^4*atanh(c/x))/2","B"
144,0,-1,142,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c/x))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atanh(c/x))^2, x)","F"
145,1,101,83,0.781719,"\text{Not used}","int(x*(a + b*atanh(c/x))^2,x)","\frac{a^2\,x^2}{2}-\frac{b^2\,c^2\,{\mathrm{atanh}\left(\frac{c}{x}\right)}^2}{2}+\frac{b^2\,x^2\,{\mathrm{atanh}\left(\frac{c}{x}\right)}^2}{2}+\frac{b^2\,c^2\,\ln\left(x^2-c^2\right)}{2}-a\,b\,c^2\,\mathrm{atanh}\left(\frac{c}{x}\right)+a\,b\,x^2\,\mathrm{atanh}\left(\frac{c}{x}\right)+b^2\,c\,x\,\mathrm{atanh}\left(\frac{c}{x}\right)+a\,b\,c\,x","Not used",1,"(a^2*x^2)/2 - (b^2*c^2*atanh(c/x)^2)/2 + (b^2*x^2*atanh(c/x)^2)/2 + (b^2*c^2*log(x^2 - c^2))/2 - a*b*c^2*atanh(c/x) + a*b*x^2*atanh(c/x) + b^2*c*x*atanh(c/x) + a*b*c*x","B"
146,0,-1,74,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c/x))^2, x)","F"
147,0,-1,133,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c/x))^2/x, x)","F"
148,0,-1,87,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atanh(c/x))^2/x^2, x)","F"
149,1,235,87,1.283782,"\text{Not used}","int((a + b*atanh(c/x))^2/x^3,x)","\ln\left(1-\frac{c}{x}\right)\,\left(\frac{a\,b}{2\,x^2}-\ln\left(\frac{c}{x}+1\right)\,\left(\frac{b^2}{4\,c^2}-\frac{b^2}{4\,x^2}\right)+\frac{b^2\,\left(2\,c\,x-c^2\right)}{8\,c^2\,x^2}+\frac{b^2\,\left(2\,c^2+4\,x\,c\right)}{16\,c^2\,x^2}\right)-\frac{\frac{a^2}{2}+\frac{a\,b\,x}{c}}{x^2}+{\ln\left(\frac{c}{x}+1\right)}^2\,\left(\frac{b^2}{8\,c^2}-\frac{b^2}{8\,x^2}\right)+{\ln\left(1-\frac{c}{x}\right)}^2\,\left(\frac{b^2}{8\,c^2}-\frac{b^2}{8\,x^2}\right)-\frac{\ln\left(x-c\right)\,\left(b^2+a\,b\right)}{2\,c^2}+\frac{\ln\left(c+x\right)\,\left(a\,b-b^2\right)}{2\,c^2}-\frac{\ln\left(\frac{c}{x}+1\right)\,\left(\frac{a\,b}{2}+\frac{b^2\,x}{2\,c}\right)}{x^2}+\frac{b^2\,\ln\left(x\right)}{c^2}","Not used",1,"log(1 - c/x)*((a*b)/(2*x^2) - log(c/x + 1)*(b^2/(4*c^2) - b^2/(4*x^2)) + (b^2*(2*c*x - c^2))/(8*c^2*x^2) + (b^2*(4*c*x + 2*c^2))/(16*c^2*x^2)) - (a^2/2 + (a*b*x)/c)/x^2 + log(c/x + 1)^2*(b^2/(8*c^2) - b^2/(8*x^2)) + log(1 - c/x)^2*(b^2/(8*c^2) - b^2/(8*x^2)) - (log(x - c)*(a*b + b^2))/(2*c^2) + (log(c + x)*(a*b - b^2))/(2*c^2) - (log(c/x + 1)*((a*b)/2 + (b^2*x)/(2*c)))/x^2 + (b^2*log(x))/c^2","B"
150,0,-1,203,0.000000,"\text{Not used}","int(x^3*(a + b*atanh(c/x))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atanh(c/x))^3, x)","F"
151,0,-1,217,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c/x))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atanh(c/x))^3, x)","F"
152,0,-1,135,0.000000,"\text{Not used}","int(x*(a + b*atanh(c/x))^3,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atanh(c/x))^3, x)","F"
153,0,-1,108,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c/x))^3, x)","F"
154,0,-1,208,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atanh(c/x))^3/x, x)","F"
155,0,-1,126,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^3/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*atanh(c/x))^3/x^2, x)","F"
156,0,-1,139,0.000000,"\text{Not used}","int((a + b*atanh(c/x))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x}\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atanh(c/x))^3/x^3, x)","F"
157,1,66,54,1.010261,"\text{Not used}","int(x^7*(a + b*atanh(c/x^2)),x)","\frac{a\,x^8}{8}+\frac{b\,c^3\,x^2}{8}+\frac{b\,x^8\,\ln\left(x^2+c\right)}{16}+\frac{b\,c\,x^6}{24}-\frac{b\,x^8\,\ln\left(x^2-c\right)}{16}+\frac{b\,c^4\,\mathrm{atan}\left(\frac{x^2\,1{}\mathrm{i}}{c}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(a*x^8)/8 + (b*c^3*x^2)/8 + (b*x^8*log(c + x^2))/16 + (b*c^4*atan((x^2*1i)/c)*1i)/8 + (b*c*x^6)/24 - (b*x^8*log(x^2 - c))/16","B"
158,1,56,45,0.813946,"\text{Not used}","int(x^5*(a + b*atanh(c/x^2)),x)","\frac{a\,x^6}{6}+\frac{b\,c^3\,\ln\left(x^4-c^2\right)}{12}+\frac{b\,x^6\,\ln\left(x^2+c\right)}{12}+\frac{b\,c\,x^4}{12}-\frac{b\,x^6\,\ln\left(x^2-c\right)}{12}","Not used",1,"(a*x^6)/6 + (b*c^3*log(x^4 - c^2))/12 + (b*x^6*log(c + x^2))/12 + (b*c*x^4)/12 - (b*x^6*log(x^2 - c))/12","B"
159,1,57,43,0.864698,"\text{Not used}","int(x^3*(a + b*atanh(c/x^2)),x)","\frac{a\,x^4}{4}+\frac{b\,x^4\,\ln\left(x^2+c\right)}{8}+\frac{b\,c\,x^2}{4}-\frac{b\,x^4\,\ln\left(x^2-c\right)}{8}+\frac{b\,c^2\,\mathrm{atan}\left(\frac{x^2\,1{}\mathrm{i}}{c}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(a*x^4)/4 + (b*x^4*log(c + x^2))/8 + (b*c^2*atan((x^2*1i)/c)*1i)/4 + (b*c*x^2)/4 - (b*x^4*log(x^2 - c))/8","B"
160,1,47,34,0.788982,"\text{Not used}","int(x*(a + b*atanh(c/x^2)),x)","\frac{a\,x^2}{2}+\frac{b\,x^2\,\ln\left(x^2+c\right)}{4}+\frac{b\,c\,\ln\left(x^4-c^2\right)}{4}-\frac{b\,x^2\,\ln\left(x^2-c\right)}{4}","Not used",1,"(a*x^2)/2 + (b*x^2*log(c + x^2))/4 + (b*c*log(x^4 - c^2))/4 - (b*x^2*log(x^2 - c))/4","B"
161,0,-1,30,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c/x^2))/x, x)","F"
162,1,56,37,0.841843,"\text{Not used}","int((a + b*atanh(c/x^2))/x^3,x)","\frac{b\,\ln\left(x\right)}{c}-\frac{b\,\ln\left(x^4-c^2\right)}{4\,c}-\frac{a}{2\,x^2}-\frac{b\,\ln\left(x^2+c\right)}{4\,x^2}+\frac{b\,\ln\left(x^2-c\right)}{4\,x^2}","Not used",1,"(b*log(x))/c - (b*log(x^4 - c^2))/(4*c) - a/(2*x^2) - (b*log(c + x^2))/(4*x^2) + (b*log(x^2 - c))/(4*x^2)","B"
163,1,59,45,0.995476,"\text{Not used}","int((a + b*atanh(c/x^2))/x^5,x)","\frac{\frac{b\,x^4\,\mathrm{atanh}\left(\frac{x^2}{c}\right)}{4}-\frac{b\,c\,x^2}{4}}{c^2\,x^4}-\frac{\frac{a}{4}-\frac{b\,\ln\left(x^2-c\right)}{8}+\frac{b\,\ln\left(x^2+c\right)}{8}}{x^4}","Not used",1,"((b*x^4*atanh(x^2/c))/4 - (b*c*x^2)/4)/(c^2*x^4) - (a/4 - (b*log(x^2 - c))/8 + (b*log(c + x^2))/8)/x^4","B"
164,1,66,57,0.894063,"\text{Not used}","int((a + b*atanh(c/x^2))/x^7,x)","\frac{b\,\ln\left(x\right)}{3\,c^3}-\frac{b\,\ln\left(x^4-c^2\right)}{12\,c^3}-\frac{b}{12\,c\,x^4}-\frac{a}{6\,x^6}-\frac{b\,\ln\left(x^2+c\right)}{12\,x^6}+\frac{b\,\ln\left(x^2-c\right)}{12\,x^6}","Not used",1,"(b*log(x))/(3*c^3) - (b*log(x^4 - c^2))/(12*c^3) - b/(12*c*x^4) - a/(6*x^6) - (b*log(c + x^2))/(12*x^6) + (b*log(x^2 - c))/(12*x^6)","B"
165,1,67,63,0.982940,"\text{Not used}","int(x^4*(a + b*atanh(c/x^2)),x)","\frac{a\,x^5}{5}+\frac{b\,c^{5/2}\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)}{5}+\frac{b\,x^5\,\ln\left(x^2+c\right)}{10}+\frac{2\,b\,c\,x^3}{15}-\frac{b\,x^5\,\ln\left(x^2-c\right)}{10}+\frac{b\,c^{5/2}\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}}{5}","Not used",1,"(a*x^5)/5 + (b*c^(5/2)*atan(x/c^(1/2)))/5 + (b*c^(5/2)*atan((x*1i)/c^(1/2))*1i)/5 + (b*x^5*log(c + x^2))/10 + (2*b*c*x^3)/15 - (b*x^5*log(x^2 - c))/10","B"
166,1,65,61,0.895404,"\text{Not used}","int(x^2*(a + b*atanh(c/x^2)),x)","\frac{a\,x^3}{3}-\frac{b\,c^{3/2}\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)}{3}+\frac{2\,b\,c\,x}{3}+\frac{b\,x^3\,\ln\left(x^2+c\right)}{6}-\frac{b\,x^3\,\ln\left(x^2-c\right)}{6}+\frac{b\,c^{3/2}\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}}{3}","Not used",1,"(a*x^3)/3 - (b*c^(3/2)*atan(x/c^(1/2)))/3 + (b*c^(3/2)*atan((x*1i)/c^(1/2))*1i)/3 + (2*b*c*x)/3 + (b*x^3*log(c + x^2))/6 - (b*x^3*log(x^2 - c))/6","B"
167,1,52,44,0.819433,"\text{Not used}","int(a + b*atanh(c/x^2),x)","a\,x+\frac{b\,x\,\ln\left(x^2+c\right)}{2}+b\,\sqrt{c}\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)-\frac{b\,x\,\ln\left(x^2-c\right)}{2}+b\,\sqrt{c}\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}","Not used",1,"a*x + (b*x*log(c + x^2))/2 + b*c^(1/2)*atan(x/c^(1/2)) + b*c^(1/2)*atan((x*1i)/c^(1/2))*1i - (b*x*log(x^2 - c))/2","B"
168,1,59,46,0.959987,"\text{Not used}","int((a + b*atanh(c/x^2))/x^2,x)","\frac{b\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)}{\sqrt{c}}-\frac{a}{x}-\frac{b\,\ln\left(x^2+c\right)}{2\,x}+\frac{b\,\ln\left(x^2-c\right)}{2\,x}-\frac{b\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"(b*atan(x/c^(1/2)))/c^(1/2) - a/x - (b*atan((x*1i)/c^(1/2))*1i)/c^(1/2) - (b*log(c + x^2))/(2*x) + (b*log(x^2 - c))/(2*x)","B"
169,1,69,65,0.991853,"\text{Not used}","int((a + b*atanh(c/x^2))/x^4,x)","\frac{b\,\ln\left(x^2-c\right)}{6\,x^3}-\frac{2\,b}{3\,c\,x}-\frac{b\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)}{3\,c^{3/2}}-\frac{b\,\ln\left(x^2+c\right)}{6\,x^3}-\frac{a}{3\,x^3}-\frac{b\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}}{3\,c^{3/2}}","Not used",1,"(b*log(x^2 - c))/(6*x^3) - (2*b)/(3*c*x) - (b*atan(x/c^(1/2)))/(3*c^(3/2)) - (b*atan((x*1i)/c^(1/2))*1i)/(3*c^(3/2)) - (b*log(c + x^2))/(6*x^3) - a/(3*x^3)","B"
170,1,69,65,1.000193,"\text{Not used}","int((a + b*atanh(c/x^2))/x^6,x)","\frac{b\,\mathrm{atan}\left(\frac{x}{\sqrt{c}}\right)}{5\,c^{5/2}}-\frac{2\,b}{15\,c\,x^3}-\frac{a}{5\,x^5}-\frac{b\,\ln\left(x^2+c\right)}{10\,x^5}+\frac{b\,\ln\left(x^2-c\right)}{10\,x^5}-\frac{b\,\mathrm{atan}\left(\frac{x\,1{}\mathrm{i}}{\sqrt{c}}\right)\,1{}\mathrm{i}}{5\,c^{5/2}}","Not used",1,"(b*atan(x/c^(1/2)))/(5*c^(5/2)) - (2*b)/(15*c*x^3) - a/(5*x^5) - (b*atan((x*1i)/c^(1/2))*1i)/(5*c^(5/2)) - (b*log(c + x^2))/(10*x^5) + (b*log(x^2 - c))/(10*x^5)","B"
171,1,247,94,1.209143,"\text{Not used}","int(x^3*(a + b*atanh(c/x^2))^2,x)","\frac{a^2\,x^4}{4}-\frac{a\,b\,c^2\,\ln\left(x^2+c\right)}{4}+\frac{a\,b\,c^2\,\ln\left(x^2-c\right)}{4}+\frac{a\,b\,c\,x^2}{2}+\frac{a\,b\,x^4\,\ln\left(x^2+c\right)}{4}-\frac{a\,b\,x^4\,\ln\left(x^2-c\right)}{4}-\frac{b^2\,c^2\,{\ln\left(x^2+c\right)}^2}{16}+\frac{b^2\,c^2\,\ln\left(x^2+c\right)\,\ln\left(x^2-c\right)}{8}+\frac{b^2\,c^2\,\ln\left(x^2+c\right)}{4}-\frac{b^2\,c^2\,{\ln\left(x^2-c\right)}^2}{16}+\frac{b^2\,c^2\,\ln\left(x^2-c\right)}{4}+\frac{b^2\,c\,x^2\,\ln\left(x^2+c\right)}{4}-\frac{b^2\,c\,x^2\,\ln\left(x^2-c\right)}{4}+\frac{b^2\,x^4\,{\ln\left(x^2+c\right)}^2}{16}-\frac{b^2\,x^4\,\ln\left(x^2+c\right)\,\ln\left(x^2-c\right)}{8}+\frac{b^2\,x^4\,{\ln\left(x^2-c\right)}^2}{16}","Not used",1,"(a^2*x^4)/4 + (b^2*c^2*log(x^2 - c))/4 - (b^2*c^2*log(c + x^2)^2)/16 + (b^2*x^4*log(c + x^2)^2)/16 - (b^2*c^2*log(x^2 - c)^2)/16 + (b^2*x^4*log(x^2 - c)^2)/16 + (b^2*c^2*log(c + x^2))/4 + (a*b*x^4*log(c + x^2))/4 + (a*b*c^2*log(x^2 - c))/4 + (b^2*c^2*log(c + x^2)*log(x^2 - c))/8 + (a*b*c*x^2)/2 - (a*b*x^4*log(x^2 - c))/4 + (b^2*c*x^2*log(c + x^2))/4 - (b^2*x^4*log(c + x^2)*log(x^2 - c))/8 - (b^2*c*x^2*log(x^2 - c))/4 - (a*b*c^2*log(c + x^2))/4","B"
172,0,-1,94,0.000000,"\text{Not used}","int(x*(a + b*atanh(c/x^2))^2,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*atanh(c/x^2))^2, x)","F"
173,0,-1,144,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2/x, x)","F"
174,0,-1,99,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2/x^3, x)","F"
175,1,262,97,1.540684,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x^5,x)","\frac{b^2\,{\ln\left(x^2+c\right)}^2}{16\,c^2}-\frac{b^2\,\ln\left(x^2-c\right)}{4\,c^2}-\frac{a^2}{4\,x^4}-\frac{b^2\,{\ln\left(x^2+c\right)}^2}{16\,x^4}+\frac{b^2\,{\ln\left(x^2-c\right)}^2}{16\,c^2}-\frac{b^2\,{\ln\left(x^2-c\right)}^2}{16\,x^4}+\frac{b^2\,\ln\left(x\right)}{c^2}-\frac{b^2\,\ln\left(x^2+c\right)}{4\,c^2}-\frac{a\,b\,\ln\left(x^2+c\right)}{4\,x^4}+\frac{b^2\,\ln\left(x^2-c\right)}{4\,c\,x^2}-\frac{a\,b\,\ln\left(x^2-c\right)}{4\,c^2}-\frac{b^2\,\ln\left(x^2+c\right)\,\ln\left(x^2-c\right)}{8\,c^2}+\frac{a\,b\,\ln\left(x^2-c\right)}{4\,x^4}+\frac{b^2\,\ln\left(x^2+c\right)\,\ln\left(x^2-c\right)}{8\,x^4}-\frac{a\,b}{2\,c\,x^2}-\frac{b^2\,\ln\left(x^2+c\right)}{4\,c\,x^2}+\frac{a\,b\,\ln\left(x^2+c\right)}{4\,c^2}","Not used",1,"(b^2*log(c + x^2)^2)/(16*c^2) - (b^2*log(x^2 - c))/(4*c^2) - a^2/(4*x^4) - (b^2*log(c + x^2)^2)/(16*x^4) + (b^2*log(x^2 - c)^2)/(16*c^2) - (b^2*log(x^2 - c)^2)/(16*x^4) + (b^2*log(x))/c^2 - (b^2*log(c + x^2))/(4*c^2) - (a*b*log(c + x^2))/(4*x^4) + (b^2*log(x^2 - c))/(4*c*x^2) - (a*b*log(x^2 - c))/(4*c^2) - (b^2*log(c + x^2)*log(x^2 - c))/(8*c^2) + (a*b*log(x^2 - c))/(4*x^4) + (b^2*log(c + x^2)*log(x^2 - c))/(8*x^4) - (a*b)/(2*c*x^2) - (b^2*log(c + x^2))/(4*c*x^2) + (a*b*log(c + x^2))/(4*c^2)","B"
176,0,-1,1214,0.000000,"\text{Not used}","int(x^4*(a + b*atanh(c/x^2))^2,x)","\int x^4\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2 \,d x","Not used",1,"int(x^4*(a + b*atanh(c/x^2))^2, x)","F"
177,0,-1,1172,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c/x^2))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atanh(c/x^2))^2, x)","F"
178,0,-1,1549,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2, x)","F"
179,0,-1,1117,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2/x^2, x)","F"
180,0,-1,1263,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2/x^4, x)","F"
181,0,-1,1337,0.000000,"\text{Not used}","int((a + b*atanh(c/x^2))^2/x^6,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2}{x^6} \,d x","Not used",1,"int((a + b*atanh(c/x^2))^2/x^6, x)","F"
182,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c/x^2))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c/x^2))^3, x)","F"
183,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c/x^2))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c/x^2))^2, x)","F"
184,0,-1,75,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c/x^2)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atanh(c/x^2)), x)","F"
185,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c/x^2)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c/x^2)), x)","F"
186,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c/x^2))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atanh}\left(\frac{c}{x^2}\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c/x^2))^2, x)","F"
187,1,86,88,1.434079,"\text{Not used}","int(x^3*(a + b*atanh(c*x^(1/2))),x)","\frac{\frac{b\,c^3\,x^{3/2}}{12}-\frac{b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{4}+\frac{b\,c^5\,x^{5/2}}{20}+\frac{b\,c^7\,x^{7/2}}{28}+\frac{b\,c\,\sqrt{x}}{4}}{c^8}+\frac{b\,\left(105\,x^4\,\ln\left(c\,\sqrt{x}+1\right)-105\,x^4\,\ln\left(1-c\,\sqrt{x}\right)\right)}{840}+\frac{a\,x^4}{4}","Not used",1,"((b*c^3*x^(3/2))/12 - (b*atanh(c*x^(1/2)))/4 + (b*c^5*x^(5/2))/20 + (b*c^7*x^(7/2))/28 + (b*c*x^(1/2))/4)/c^8 + (b*(105*x^4*log(c*x^(1/2) + 1) - 105*x^4*log(1 - c*x^(1/2))))/840 + (a*x^4)/4","B"
188,1,58,75,1.217421,"\text{Not used}","int(x^2*(a + b*atanh(c*x^(1/2))),x)","\frac{a\,x^3}{3}+\frac{\frac{b\,c^3\,x^{3/2}}{9}-\frac{b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{3}+\frac{b\,c^5\,x^{5/2}}{15}+\frac{b\,c\,\sqrt{x}}{3}}{c^6}+\frac{b\,x^3\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{3}","Not used",1,"(a*x^3)/3 + ((b*c^3*x^(3/2))/9 - (b*atanh(c*x^(1/2)))/3 + (b*c^5*x^(5/2))/15 + (b*c*x^(1/2))/3)/c^6 + (b*x^3*atanh(c*x^(1/2)))/3","B"
189,1,49,62,1.169559,"\text{Not used}","int(x*(a + b*atanh(c*x^(1/2))),x)","\frac{\frac{b\,c^3\,x^{3/2}}{6}-\frac{b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{2}+\frac{b\,c\,\sqrt{x}}{2}}{c^4}+\frac{a\,x^2}{2}+\frac{b\,x^2\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{2}","Not used",1,"((b*c^3*x^(3/2))/6 - (b*atanh(c*x^(1/2)))/2 + (b*c*x^(1/2))/2)/c^4 + (a*x^2)/2 + (b*x^2*atanh(c*x^(1/2)))/2","B"
190,1,32,39,0.901174,"\text{Not used}","int(a + b*atanh(c*x^(1/2)),x)","a\,x+b\,x\,\mathrm{atanh}\left(c\,\sqrt{x}\right)-\frac{b\,\left(\mathrm{atanh}\left(c\,\sqrt{x}\right)-c\,\sqrt{x}\right)}{c^2}","Not used",1,"a*x + b*x*atanh(c*x^(1/2)) - (b*(atanh(c*x^(1/2)) - c*x^(1/2)))/c^2","B"
191,0,-1,29,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))/x, x)","F"
192,1,52,40,1.116830,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/x^2,x)","b\,c\,\mathrm{atan}\left(\frac{c^2\,\sqrt{x}}{\sqrt{-c^2}}\right)\,\sqrt{-c^2}-\frac{a}{x}-\frac{b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+b\,c\,\sqrt{x}}{x}","Not used",1,"b*c*atan((c^2*x^(1/2))/(-c^2)^(1/2))*(-c^2)^(1/2) - a/x - (b*atanh(c*x^(1/2)) + b*c*x^(1/2))/x","B"
193,1,61,60,1.363486,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/x^3,x)","\frac{b\,c^4\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{2}-\frac{b\,\left(3\,\ln\left(c\,\sqrt{x}+1\right)-3\,\ln\left(1-c\,\sqrt{x}\right)+2\,c\,\sqrt{x}+6\,c^3\,x^{3/2}\right)}{12\,x^2}-\frac{a}{2\,x^2}","Not used",1,"(b*c^4*atanh(c*x^(1/2)))/2 - (b*(3*log(c*x^(1/2) + 1) - 3*log(1 - c*x^(1/2)) + 2*c*x^(1/2) + 6*c^3*x^(3/2)))/(12*x^2) - a/(2*x^2)","B"
194,1,69,73,1.386433,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/x^4,x)","\frac{b\,c^6\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{3}-\frac{b\,\left(15\,\ln\left(c\,\sqrt{x}+1\right)-15\,\ln\left(1-c\,\sqrt{x}\right)+6\,c\,\sqrt{x}+10\,c^3\,x^{3/2}+30\,c^5\,x^{5/2}\right)}{90\,x^3}-\frac{a}{3\,x^3}","Not used",1,"(b*c^6*atanh(c*x^(1/2)))/3 - (b*(15*log(c*x^(1/2) + 1) - 15*log(1 - c*x^(1/2)) + 6*c*x^(1/2) + 10*c^3*x^(3/2) + 30*c^5*x^(5/2)))/(90*x^3) - a/(3*x^3)","B"
195,1,453,211,4.867192,"\text{Not used}","int(x^3*(a + b*atanh(c*x^(1/2)))^2,x)","\frac{a^2\,x^4}{4}+\frac{44\,b^2\,\ln\left(c\,\sqrt{x}-1\right)}{105\,c^8}+\frac{44\,b^2\,\ln\left(c\,\sqrt{x}+1\right)}{105\,c^8}+\frac{71\,b^2\,x}{420\,c^6}-\frac{b^2\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{16\,c^8}-\frac{b^2\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{16\,c^8}+\frac{b^2\,x^3}{84\,c^2}+\frac{3\,b^2\,x^2}{70\,c^4}+\frac{b^2\,x^4\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{16}+\frac{b^2\,x^4\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{16}+\frac{b^2\,x^{7/2}\,\ln\left(c\,\sqrt{x}+1\right)}{28\,c}+\frac{b^2\,x^{5/2}\,\ln\left(c\,\sqrt{x}+1\right)}{20\,c^3}+\frac{b^2\,x^{3/2}\,\ln\left(c\,\sqrt{x}+1\right)}{12\,c^5}+\frac{b^2\,\sqrt{x}\,\ln\left(c\,\sqrt{x}+1\right)}{4\,c^7}-\frac{b^2\,x^{7/2}\,\ln\left(1-c\,\sqrt{x}\right)}{28\,c}-\frac{b^2\,x^{5/2}\,\ln\left(1-c\,\sqrt{x}\right)}{20\,c^3}-\frac{b^2\,x^{3/2}\,\ln\left(1-c\,\sqrt{x}\right)}{12\,c^5}-\frac{b^2\,\sqrt{x}\,\ln\left(1-c\,\sqrt{x}\right)}{4\,c^7}+\frac{a\,b\,\ln\left(c\,\sqrt{x}-1\right)}{4\,c^8}-\frac{a\,b\,\ln\left(c\,\sqrt{x}+1\right)}{4\,c^8}+\frac{a\,b\,x^4\,\ln\left(c\,\sqrt{x}+1\right)}{4}-\frac{a\,b\,x^4\,\ln\left(1-c\,\sqrt{x}\right)}{4}+\frac{b^2\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{8\,c^8}+\frac{a\,b\,x^{7/2}}{14\,c}+\frac{a\,b\,x^{5/2}}{10\,c^3}+\frac{a\,b\,x^{3/2}}{6\,c^5}+\frac{a\,b\,\sqrt{x}}{2\,c^7}-\frac{b^2\,x^4\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{8}","Not used",1,"(a^2*x^4)/4 + (44*b^2*log(c*x^(1/2) - 1))/(105*c^8) + (44*b^2*log(c*x^(1/2) + 1))/(105*c^8) + (71*b^2*x)/(420*c^6) - (b^2*log(c*x^(1/2) + 1)^2)/(16*c^8) - (b^2*log(1 - c*x^(1/2))^2)/(16*c^8) + (b^2*x^3)/(84*c^2) + (3*b^2*x^2)/(70*c^4) + (b^2*x^4*log(c*x^(1/2) + 1)^2)/16 + (b^2*x^4*log(1 - c*x^(1/2))^2)/16 + (b^2*x^(7/2)*log(c*x^(1/2) + 1))/(28*c) + (b^2*x^(5/2)*log(c*x^(1/2) + 1))/(20*c^3) + (b^2*x^(3/2)*log(c*x^(1/2) + 1))/(12*c^5) + (b^2*x^(1/2)*log(c*x^(1/2) + 1))/(4*c^7) - (b^2*x^(7/2)*log(1 - c*x^(1/2)))/(28*c) - (b^2*x^(5/2)*log(1 - c*x^(1/2)))/(20*c^3) - (b^2*x^(3/2)*log(1 - c*x^(1/2)))/(12*c^5) - (b^2*x^(1/2)*log(1 - c*x^(1/2)))/(4*c^7) + (a*b*log(c*x^(1/2) - 1))/(4*c^8) - (a*b*log(c*x^(1/2) + 1))/(4*c^8) + (a*b*x^4*log(c*x^(1/2) + 1))/4 - (a*b*x^4*log(1 - c*x^(1/2)))/4 + (b^2*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/(8*c^8) + (a*b*x^(7/2))/(14*c) + (a*b*x^(5/2))/(10*c^3) + (a*b*x^(3/2))/(6*c^5) + (a*b*x^(1/2))/(2*c^7) - (b^2*x^4*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/8","B"
196,1,185,173,1.565440,"\text{Not used}","int(x^2*(a + b*atanh(c*x^(1/2)))^2,x)","\frac{46\,b^2\,\ln\left(c^2\,x-1\right)-30\,b^2\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2-60\,a\,b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+16\,b^2\,c^2\,x+30\,a^2\,c^6\,x^3+3\,b^2\,c^4\,x^2+30\,b^2\,c^6\,x^3\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2+60\,b^2\,c\,\sqrt{x}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+60\,a\,b\,c\,\sqrt{x}+20\,b^2\,c^3\,x^{3/2}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+12\,b^2\,c^5\,x^{5/2}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+20\,a\,b\,c^3\,x^{3/2}+12\,a\,b\,c^5\,x^{5/2}+60\,a\,b\,c^6\,x^3\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{90\,c^6}","Not used",1,"(46*b^2*log(c^2*x - 1) - 30*b^2*atanh(c*x^(1/2))^2 - 60*a*b*atanh(c*x^(1/2)) + 16*b^2*c^2*x + 30*a^2*c^6*x^3 + 3*b^2*c^4*x^2 + 30*b^2*c^6*x^3*atanh(c*x^(1/2))^2 + 60*b^2*c*x^(1/2)*atanh(c*x^(1/2)) + 60*a*b*c*x^(1/2) + 20*b^2*c^3*x^(3/2)*atanh(c*x^(1/2)) + 12*b^2*c^5*x^(5/2)*atanh(c*x^(1/2)) + 20*a*b*c^3*x^(3/2) + 12*a*b*c^5*x^(5/2) + 60*a*b*c^6*x^3*atanh(c*x^(1/2)))/(90*c^6)","B"
197,1,143,129,1.281073,"\text{Not used}","int(x*(a + b*atanh(c*x^(1/2)))^2,x)","\frac{a^2\,x^2}{2}-\frac{b^2\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2}{2\,c^4}+\frac{2\,b^2\,\ln\left(c^2\,x-1\right)}{3\,c^4}+\frac{b^2\,x^2\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2}{2}+\frac{b^2\,x}{6\,c^2}+\frac{b^2\,x^{3/2}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{3\,c}+\frac{b^2\,\sqrt{x}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{c^3}+\frac{a\,b\,x^{3/2}}{3\,c}+\frac{a\,b\,\sqrt{x}}{c^3}-\frac{a\,b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{c^4}+a\,b\,x^2\,\mathrm{atanh}\left(c\,\sqrt{x}\right)","Not used",1,"(a^2*x^2)/2 - (b^2*atanh(c*x^(1/2))^2)/(2*c^4) + (2*b^2*log(c^2*x - 1))/(3*c^4) + (b^2*x^2*atanh(c*x^(1/2))^2)/2 + (b^2*x)/(6*c^2) + (b^2*x^(3/2)*atanh(c*x^(1/2)))/(3*c) + (b^2*x^(1/2)*atanh(c*x^(1/2)))/c^3 + (a*b*x^(3/2))/(3*c) + (a*b*x^(1/2))/c^3 - (a*b*atanh(c*x^(1/2)))/c^4 + a*b*x^2*atanh(c*x^(1/2))","B"
198,1,94,85,1.058159,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^2,x)","a^2\,x+\frac{c\,\left(2\,b^2\,\sqrt{x}\,\mathrm{atanh}\left(c\,\sqrt{x}\right)+2\,a\,b\,\sqrt{x}\right)-b^2\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2+b^2\,\ln\left(c^2\,x-1\right)-2\,a\,b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{c^2}+b^2\,x\,{\mathrm{atanh}\left(c\,\sqrt{x}\right)}^2+2\,a\,b\,x\,\mathrm{atanh}\left(c\,\sqrt{x}\right)","Not used",1,"a^2*x + (c*(2*b^2*x^(1/2)*atanh(c*x^(1/2)) + 2*a*b*x^(1/2)) - b^2*atanh(c*x^(1/2))^2 + b^2*log(c^2*x - 1) - 2*a*b*atanh(c*x^(1/2)))/c^2 + b^2*x*atanh(c*x^(1/2))^2 + 2*a*b*x*atanh(c*x^(1/2))","B"
199,0,-1,145,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))^2/x, x)","F"
200,1,278,85,1.791638,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^2/x^2,x)","2\,b^2\,c^2\,\ln\left(\sqrt{x}\right)-\frac{a^2}{x}-b^2\,c^2\,\ln\left(c\,\sqrt{x}-1\right)-b^2\,c^2\,\ln\left(c\,\sqrt{x}+1\right)+\frac{b^2\,c^2\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{4}+\frac{b^2\,c^2\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{4}-\frac{b^2\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{4\,x}-\frac{b^2\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{4\,x}-a\,b\,c^2\,\ln\left(c\,\sqrt{x}-1\right)+a\,b\,c^2\,\ln\left(c\,\sqrt{x}+1\right)-\frac{2\,a\,b\,c}{\sqrt{x}}-\frac{a\,b\,\ln\left(c\,\sqrt{x}+1\right)}{x}+\frac{a\,b\,\ln\left(1-c\,\sqrt{x}\right)}{x}-\frac{b^2\,c^2\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{2}-\frac{b^2\,c\,\ln\left(c\,\sqrt{x}+1\right)}{\sqrt{x}}+\frac{b^2\,c\,\ln\left(1-c\,\sqrt{x}\right)}{\sqrt{x}}+\frac{b^2\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{2\,x}","Not used",1,"2*b^2*c^2*log(x^(1/2)) - a^2/x - b^2*c^2*log(c*x^(1/2) - 1) - b^2*c^2*log(c*x^(1/2) + 1) + (b^2*c^2*log(c*x^(1/2) + 1)^2)/4 + (b^2*c^2*log(1 - c*x^(1/2))^2)/4 - (b^2*log(c*x^(1/2) + 1)^2)/(4*x) - (b^2*log(1 - c*x^(1/2))^2)/(4*x) - a*b*c^2*log(c*x^(1/2) - 1) + a*b*c^2*log(c*x^(1/2) + 1) - (2*a*b*c)/x^(1/2) - (a*b*log(c*x^(1/2) + 1))/x + (a*b*log(1 - c*x^(1/2)))/x - (b^2*c^2*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/2 - (b^2*c*log(c*x^(1/2) + 1))/x^(1/2) + (b^2*c*log(1 - c*x^(1/2)))/x^(1/2) + (b^2*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/(2*x)","B"
201,1,341,133,2.706663,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^2/x^3,x)","\frac{4\,b^2\,c^4\,\ln\left(\sqrt{x}\right)}{3}-\frac{a^2}{2\,x^2}-\frac{2\,b^2\,c^4\,\ln\left(c\,\sqrt{x}-1\right)}{3}-\frac{2\,b^2\,c^4\,\ln\left(c\,\sqrt{x}+1\right)}{3}+\frac{b^2\,c^4\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{8}+\frac{b^2\,c^4\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{8}-\frac{b^2\,c^2}{6\,x}-\frac{b^2\,{\ln\left(c\,\sqrt{x}+1\right)}^2}{8\,x^2}-\frac{b^2\,{\ln\left(1-c\,\sqrt{x}\right)}^2}{8\,x^2}-\frac{b^2\,c^3\,\ln\left(c\,\sqrt{x}+1\right)}{2\,\sqrt{x}}+\frac{b^2\,c^3\,\ln\left(1-c\,\sqrt{x}\right)}{2\,\sqrt{x}}-\frac{a\,b\,c^4\,\ln\left(c\,\sqrt{x}-1\right)}{2}+\frac{a\,b\,c^4\,\ln\left(c\,\sqrt{x}+1\right)}{2}-\frac{a\,b\,c}{3\,x^{3/2}}-\frac{a\,b\,\ln\left(c\,\sqrt{x}+1\right)}{2\,x^2}+\frac{a\,b\,\ln\left(1-c\,\sqrt{x}\right)}{2\,x^2}-\frac{b^2\,c^4\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{4}-\frac{a\,b\,c^3}{\sqrt{x}}-\frac{b^2\,c\,\ln\left(c\,\sqrt{x}+1\right)}{6\,x^{3/2}}+\frac{b^2\,c\,\ln\left(1-c\,\sqrt{x}\right)}{6\,x^{3/2}}+\frac{b^2\,\ln\left(c\,\sqrt{x}+1\right)\,\ln\left(1-c\,\sqrt{x}\right)}{4\,x^2}","Not used",1,"(4*b^2*c^4*log(x^(1/2)))/3 - a^2/(2*x^2) - (2*b^2*c^4*log(c*x^(1/2) - 1))/3 - (2*b^2*c^4*log(c*x^(1/2) + 1))/3 + (b^2*c^4*log(c*x^(1/2) + 1)^2)/8 + (b^2*c^4*log(1 - c*x^(1/2))^2)/8 - (b^2*c^2)/(6*x) - (b^2*log(c*x^(1/2) + 1)^2)/(8*x^2) - (b^2*log(1 - c*x^(1/2))^2)/(8*x^2) - (b^2*c^3*log(c*x^(1/2) + 1))/(2*x^(1/2)) + (b^2*c^3*log(1 - c*x^(1/2)))/(2*x^(1/2)) - (a*b*c^4*log(c*x^(1/2) - 1))/2 + (a*b*c^4*log(c*x^(1/2) + 1))/2 - (a*b*c)/(3*x^(3/2)) - (a*b*log(c*x^(1/2) + 1))/(2*x^2) + (a*b*log(1 - c*x^(1/2)))/(2*x^2) - (b^2*c^4*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/4 - (a*b*c^3)/x^(1/2) - (b^2*c*log(c*x^(1/2) + 1))/(6*x^(3/2)) + (b^2*c*log(1 - c*x^(1/2)))/(6*x^(3/2)) + (b^2*log(c*x^(1/2) + 1)*log(1 - c*x^(1/2)))/(4*x^2)","B"
202,0,-1,374,0.000000,"\text{Not used}","int(x^3*(a + b*atanh(c*x^(1/2)))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atanh(c*x^(1/2)))^3, x)","F"
203,0,-1,304,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x^(1/2)))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x^(1/2)))^3, x)","F"
204,0,-1,234,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x^(1/2)))^3,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atanh(c*x^(1/2)))^3, x)","F"
205,0,-1,142,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))^3, x)","F"
206,0,-1,224,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))^3/x, x)","F"
207,0,-1,142,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^3/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))^3/x^2, x)","F"
208,0,-1,234,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))^3/x^3, x)","F"
209,1,24,38,0.861741,"\text{Not used}","int(x^(3/2)*atanh(x^(1/2)),x)","\frac{x}{5}+\frac{\ln\left(x-1\right)}{5}+\frac{2\,x^{5/2}\,\mathrm{atanh}\left(\sqrt{x}\right)}{5}+\frac{x^2}{10}","Not used",1,"x/5 + log(x - 1)/5 + (2*x^(5/2)*atanh(x^(1/2)))/5 + x^2/10","B"
210,0,-1,31,0.000000,"\text{Not used}","int(x^(1/2)*atanh(x^(1/2)),x)","\int \sqrt{x}\,\mathrm{atanh}\left(\sqrt{x}\right) \,d x","Not used",1,"int(x^(1/2)*atanh(x^(1/2)), x)","F"
211,1,14,20,0.800878,"\text{Not used}","int(atanh(x^(1/2))/x^(1/2),x)","\ln\left(x-1\right)+2\,\sqrt{x}\,\mathrm{atanh}\left(\sqrt{x}\right)","Not used",1,"log(x - 1) + 2*x^(1/2)*atanh(x^(1/2))","B"
212,1,22,24,0.786356,"\text{Not used}","int(atanh(x^(1/2))/x^(3/2),x)","2\,\ln\left(\sqrt{x}\right)-\ln\left(x-1\right)-\frac{2\,\mathrm{atanh}\left(\sqrt{x}\right)}{\sqrt{x}}","Not used",1,"2*log(x^(1/2)) - log(x - 1) - (2*atanh(x^(1/2)))/x^(1/2)","B"
213,1,231,190,13.380300,"\text{Not used}","int(x^3*(a + b*atanh(c*x^(3/2))),x)","\frac{a\,x^4}{4}+\frac{3\,b\,x^{5/2}}{20\,c}+\frac{b\,\ln\left(\frac{c^{1/3}\,\sqrt{x}-1}{c^{1/3}\,\sqrt{x}+1}\right)}{8\,c^{8/3}}+\frac{\ln\left(1-c\,x^{3/2}\right)\,\left(\frac{b\,x^4}{4}-\frac{b\,c^2\,x^7}{4}\right)}{2\,c^2\,x^3-2}+\frac{b\,x^4\,\ln\left(c\,x^{3/2}+1\right)}{8}+\frac{b\,\ln\left(\frac{\sqrt{3}+c^{2/3}\,x\,1{}\mathrm{i}-c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}\,c^{2/3}\,x+1{}\mathrm{i}}{2\,c^{2/3}\,x+1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}{8\,c^{8/3}}+\frac{\sqrt{2}\,b\,\ln\left(\frac{\sqrt{3}\,c^{2/3}\,x+c^{2/3}\,x\,1{}\mathrm{i}+c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}+1{}\mathrm{i}}{2\,c^{2/3}\,x+1-\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{16\,c^{8/3}}","Not used",1,"(a*x^4)/4 + (3*b*x^(5/2))/(20*c) + (b*log((c^(1/3)*x^(1/2) - 1)/(c^(1/3)*x^(1/2) + 1)))/(8*c^(8/3)) + (log(1 - c*x^(3/2))*((b*x^4)/4 - (b*c^2*x^7)/4))/(2*c^2*x^3 - 2) + (b*x^4*log(c*x^(3/2) + 1))/8 + (b*log((3^(1/2) + c^(2/3)*x*1i - c^(1/3)*x^(1/2)*4i - 3^(1/2)*c^(2/3)*x + 1i)/(3^(1/2)*1i + 2*c^(2/3)*x + 1))*((3^(1/2)*1i)/2 - 1/2)^(1/2))/(8*c^(8/3)) + (2^(1/2)*b*log((c^(2/3)*x*1i - 3^(1/2) + c^(1/3)*x^(1/2)*4i + 3^(1/2)*c^(2/3)*x + 1i)/(2*c^(2/3)*x - 3^(1/2)*1i + 1))*(3^(1/2)*1i + 1)^(1/2)*1i)/(16*c^(8/3))","B"
214,1,110,49,1.756928,"\text{Not used}","int(x^2*(a + b*atanh(c*x^(3/2))),x)","\frac{a\,x^3}{3}+\frac{b\,x^{3/2}}{3\,c}+\frac{b\,\ln\left(\frac{c\,x^{3/2}-1}{c\,x^{3/2}+1}\right)}{6\,c^2}+\frac{b\,x^3\,\ln\left(c\,x^{3/2}+1\right)}{6}+\frac{b\,x^3\,\ln\left(1-c\,x^{3/2}\right)}{3\,\left(2\,c^2\,x^3-2\right)}-\frac{b\,c^2\,x^6\,\ln\left(1-c\,x^{3/2}\right)}{3\,\left(2\,c^2\,x^3-2\right)}","Not used",1,"(a*x^3)/3 + (b*x^(3/2))/(3*c) + (b*log((c*x^(3/2) - 1)/(c*x^(3/2) + 1)))/(6*c^2) + (b*x^3*log(c*x^(3/2) + 1))/6 + (b*x^3*log(1 - c*x^(3/2)))/(3*(2*c^2*x^3 - 2)) - (b*c^2*x^6*log(1 - c*x^(3/2)))/(3*(2*c^2*x^3 - 2))","B"
215,1,247,190,11.966752,"\text{Not used}","int(x*(a + b*atanh(c*x^(3/2))),x)","\frac{a\,x^2}{2}+\frac{3\,b\,\sqrt{x}}{2\,c}+\frac{b\,\ln\left(\frac{c^{1/3}\,\sqrt{x}-1}{c^{1/3}\,\sqrt{x}+1}\right)}{4\,c^{4/3}}+\frac{\ln\left(1-c\,x^{3/2}\right)\,\left(\frac{b\,x^2}{2}-\frac{b\,c^2\,x^5}{2}\right)}{2\,c^2\,x^3-2}+\frac{b\,x^2\,\ln\left(c\,x^{3/2}+1\right)}{4}+\frac{b\,\ln\left(\frac{\sqrt{3}\,c^{2/3}\,x+c^{2/3}\,x\,1{}\mathrm{i}-c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}+1{}\mathrm{i}}{2\,c^{2/3}\,x+1-\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}{4\,c^{4/3}}+\frac{\sqrt{2}\,b\,\ln\left(\frac{2\,\sqrt{2}-c^{1/3}\,\sqrt{x}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}-\sqrt{2}\,c^{2/3}\,x+\sqrt{2}\,\sqrt{3}\,c^{2/3}\,x\,1{}\mathrm{i}}{2\,c^{2/3}\,x+1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{1+\sqrt{3}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8\,c^{4/3}}","Not used",1,"(a*x^2)/2 + (3*b*x^(1/2))/(2*c) + (b*log((c^(1/3)*x^(1/2) - 1)/(c^(1/3)*x^(1/2) + 1)))/(4*c^(4/3)) + (log(1 - c*x^(3/2))*((b*x^2)/2 - (b*c^2*x^5)/2))/(2*c^2*x^3 - 2) + (b*x^2*log(c*x^(3/2) + 1))/4 + (b*log((c^(2/3)*x*1i - 3^(1/2) - c^(1/3)*x^(1/2)*4i + 3^(1/2)*c^(2/3)*x + 1i)/(2*c^(2/3)*x - 3^(1/2)*1i + 1))*((3^(1/2)*1i)/2 - 1/2)^(1/2))/(4*c^(4/3)) + (2^(1/2)*b*log((2*2^(1/2) - c^(1/3)*x^(1/2)*(3^(1/2)*1i + 1)^(5/2)*1i - 2^(1/2)*c^(2/3)*x + 2^(1/2)*3^(1/2)*c^(2/3)*x*1i)/(3^(1/2)*1i + 2*c^(2/3)*x + 1))*(3^(1/2)*1i + 1)^(1/2)*1i)/(8*c^(4/3))","B"
216,1,107,170,5.100295,"\text{Not used}","int(a + b*atanh(c*x^(3/2)),x)","a\,x+b\,x\,\mathrm{atanh}\left(c\,x^{3/2}\right)-\frac{b\,\mathrm{atanh}\left(c^{1/3}\,\sqrt{x}\right)}{c^{2/3}}+\frac{b\,\mathrm{atanh}\left(\frac{486\,c^8\,\sqrt{x}}{-243\,c^{23/3}+\sqrt{3}\,c^{23/3}\,243{}\mathrm{i}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,c^{2/3}}+\frac{b\,\mathrm{atanh}\left(\frac{486\,c^8\,\sqrt{x}}{243\,c^{23/3}+\sqrt{3}\,c^{23/3}\,243{}\mathrm{i}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2\,c^{2/3}}","Not used",1,"a*x + b*x*atanh(c*x^(3/2)) - (b*atanh(c^(1/3)*x^(1/2)))/c^(2/3) + (b*atanh((486*c^8*x^(1/2))/(3^(1/2)*c^(23/3)*243i - 243*c^(23/3)))*(3^(1/2)*1i + 1))/(2*c^(2/3)) + (b*atanh((486*c^8*x^(1/2))/(3^(1/2)*c^(23/3)*243i + 243*c^(23/3)))*(3^(1/2)*1i - 1))/(2*c^(2/3))","B"
217,0,-1,34,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^{3/2}\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^(3/2)))/x, x)","F"
218,1,220,172,7.456010,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))/x^2,x)","\frac{b\,c^{2/3}\,\ln\left(\frac{c^{1/3}\,\sqrt{x}+1}{c^{1/3}\,\sqrt{x}-1}\right)}{2}-\frac{a}{x}+\frac{\ln\left(1-c\,x^{3/2}\right)\,\left(b\,x-b\,c^2\,x^4\right)}{2\,x^2-2\,c^2\,x^5}-\frac{b\,\ln\left(c\,x^{3/2}+1\right)}{2\,x}+\frac{b\,c^{2/3}\,\ln\left(\frac{\sqrt{3}+c^{2/3}\,x\,1{}\mathrm{i}-c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}\,c^{2/3}\,x+1{}\mathrm{i}}{2\,c^{2/3}\,x+1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{2}+\frac{b\,c^{2/3}\,\ln\left(\frac{\sqrt{3}\,c^{2/3}\,x+c^{2/3}\,x\,1{}\mathrm{i}+c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}+1{}\mathrm{i}}{2\,c^{2/3}\,x+1-\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}{2}","Not used",1,"(b*c^(2/3)*log((c^(1/3)*x^(1/2) + 1)/(c^(1/3)*x^(1/2) - 1)))/2 - a/x + (log(1 - c*x^(3/2))*(b*x - b*c^2*x^4))/(2*x^2 - 2*c^2*x^5) - (b*log(c*x^(3/2) + 1))/(2*x) + (b*c^(2/3)*log((3^(1/2) + c^(2/3)*x*1i - c^(1/3)*x^(1/2)*4i - 3^(1/2)*c^(2/3)*x + 1i)/(3^(1/2)*1i + 2*c^(2/3)*x + 1))*((3^(1/2)*1i)/2 + 1/2)^(1/2)*1i)/2 + (b*c^(2/3)*log((c^(2/3)*x*1i - 3^(1/2) + c^(1/3)*x^(1/2)*4i + 3^(1/2)*c^(2/3)*x + 1i)/(2*c^(2/3)*x - 3^(1/2)*1i + 1))*((3^(1/2)*1i)/2 - 1/2)^(1/2))/2","B"
219,1,228,188,7.374959,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))/x^3,x)","\frac{b\,c^{4/3}\,\ln\left(\frac{c^{1/3}\,\sqrt{x}+1}{c^{1/3}\,\sqrt{x}-1}\right)}{4}-\frac{a}{2\,x^2}+\frac{\ln\left(1-c\,x^{3/2}\right)\,\left(\frac{b\,x}{2}-\frac{b\,c^2\,x^4}{2}\right)}{2\,x^3-2\,c^2\,x^6}-\frac{3\,b\,c}{2\,\sqrt{x}}-\frac{b\,\ln\left(c\,x^{3/2}+1\right)}{4\,x^2}+\frac{b\,c^{4/3}\,\ln\left(\frac{\sqrt{3}+c^{2/3}\,x\,1{}\mathrm{i}+c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}\,c^{2/3}\,x+1{}\mathrm{i}}{2\,c^{2/3}\,x+1+\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}}{4}+\frac{b\,c^{4/3}\,\ln\left(\frac{\sqrt{3}\,c^{2/3}\,x+c^{2/3}\,x\,1{}\mathrm{i}-c^{1/3}\,\sqrt{x}\,4{}\mathrm{i}-\sqrt{3}+1{}\mathrm{i}}{2\,c^{2/3}\,x+1-\sqrt{3}\,1{}\mathrm{i}}\right)\,\sqrt{\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{4}","Not used",1,"(b*c^(4/3)*log((c^(1/3)*x^(1/2) + 1)/(c^(1/3)*x^(1/2) - 1)))/4 - a/(2*x^2) + (log(1 - c*x^(3/2))*((b*x)/2 - (b*c^2*x^4)/2))/(2*x^3 - 2*c^2*x^6) - (3*b*c)/(2*x^(1/2)) - (b*log(c*x^(3/2) + 1))/(4*x^2) + (b*c^(4/3)*log((3^(1/2) + c^(2/3)*x*1i + c^(1/3)*x^(1/2)*4i - 3^(1/2)*c^(2/3)*x + 1i)/(3^(1/2)*1i + 2*c^(2/3)*x + 1))*((3^(1/2)*1i)/2 - 1/2)^(1/2))/4 + (b*c^(4/3)*log((c^(2/3)*x*1i - 3^(1/2) - c^(1/3)*x^(1/2)*4i + 3^(1/2)*c^(2/3)*x + 1i)/(2*c^(2/3)*x - 3^(1/2)*1i + 1))*((3^(1/2)*1i)/2 + 1/2)^(1/2)*1i)/4","B"
220,1,114,47,1.358335,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))/x^4,x)","\frac{b\,c^2\,\ln\left(\frac{c\,x^{3/2}+1}{c\,x^{3/2}-1}\right)}{6}-\frac{a}{3\,x^3}-\frac{b\,c}{3\,x^{3/2}}-\frac{b\,\ln\left(c\,x^{3/2}+1\right)}{6\,x^3}+\frac{b\,x\,\ln\left(1-c\,x^{3/2}\right)}{3\,\left(2\,x^4-2\,c^2\,x^7\right)}-\frac{b\,c^2\,x^4\,\ln\left(1-c\,x^{3/2}\right)}{3\,\left(2\,x^4-2\,c^2\,x^7\right)}","Not used",1,"(b*c^2*log((c*x^(3/2) + 1)/(c*x^(3/2) - 1)))/6 - a/(3*x^3) - (b*c)/(3*x^(3/2)) - (b*log(c*x^(3/2) + 1))/(6*x^3) + (b*x*log(1 - c*x^(3/2)))/(3*(2*x^4 - 2*c^2*x^7)) - (b*c^2*x^4*log(1 - c*x^(3/2)))/(3*(2*x^4 - 2*c^2*x^7))","B"
221,1,105,101,1.307237,"\text{Not used}","int(x^2*(a + b*atanh(c*x^(3/2)))^2,x)","\frac{c\,\left(\frac{2\,b^2\,x^{3/2}\,\mathrm{atanh}\left(c\,x^{3/2}\right)}{3}+\frac{2\,a\,b\,x^{3/2}}{3}\right)-\frac{b^2\,{\mathrm{atanh}\left(c\,x^{3/2}\right)}^2}{3}+\frac{b^2\,\ln\left(c^2\,x^3-1\right)}{3}-\frac{2\,a\,b\,\mathrm{atanh}\left(c\,x^{3/2}\right)}{3}}{c^2}+\frac{a^2\,x^3}{3}+\frac{b^2\,x^3\,{\mathrm{atanh}\left(c\,x^{3/2}\right)}^2}{3}+\frac{2\,a\,b\,x^3\,\mathrm{atanh}\left(c\,x^{3/2}\right)}{3}","Not used",1,"(c*((2*b^2*x^(3/2)*atanh(c*x^(3/2)))/3 + (2*a*b*x^(3/2))/3) - (b^2*atanh(c*x^(3/2))^2)/3 + (b^2*log(c^2*x^3 - 1))/3 - (2*a*b*atanh(c*x^(3/2)))/3)/c^2 + (a^2*x^3)/3 + (b^2*x^3*atanh(c*x^(3/2))^2)/3 + (2*a*b*x^3*atanh(c*x^(3/2)))/3","B"
222,0,-1,156,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^{3/2}\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^(3/2)))^2/x, x)","F"
223,1,281,96,2.036527,"\text{Not used}","int((a + b*atanh(c*x^(3/2)))^2/x^4,x)","\frac{2\,b^2\,c^2\,\ln\left(x^{3/2}\right)}{3}-\frac{a^2}{3\,x^3}-\frac{b^2\,c^2\,\ln\left(c\,x^{3/2}-1\right)}{3}-\frac{b^2\,c^2\,\ln\left(c\,x^{3/2}+1\right)}{3}+\frac{b^2\,c^2\,{\ln\left(c\,x^{3/2}+1\right)}^2}{12}+\frac{b^2\,c^2\,{\ln\left(1-c\,x^{3/2}\right)}^2}{12}-\frac{b^2\,{\ln\left(c\,x^{3/2}+1\right)}^2}{12\,x^3}-\frac{b^2\,{\ln\left(1-c\,x^{3/2}\right)}^2}{12\,x^3}-\frac{a\,b\,c^2\,\ln\left(c\,x^{3/2}-1\right)}{3}+\frac{a\,b\,c^2\,\ln\left(c\,x^{3/2}+1\right)}{3}-\frac{2\,a\,b\,c}{3\,x^{3/2}}-\frac{a\,b\,\ln\left(c\,x^{3/2}+1\right)}{3\,x^3}+\frac{a\,b\,\ln\left(1-c\,x^{3/2}\right)}{3\,x^3}-\frac{b^2\,c^2\,\ln\left(c\,x^{3/2}+1\right)\,\ln\left(1-c\,x^{3/2}\right)}{6}-\frac{b^2\,c\,\ln\left(c\,x^{3/2}+1\right)}{3\,x^{3/2}}+\frac{b^2\,c\,\ln\left(1-c\,x^{3/2}\right)}{3\,x^{3/2}}+\frac{b^2\,\ln\left(c\,x^{3/2}+1\right)\,\ln\left(1-c\,x^{3/2}\right)}{6\,x^3}","Not used",1,"(2*b^2*c^2*log(x^(3/2)))/3 - a^2/(3*x^3) - (b^2*c^2*log(c*x^(3/2) - 1))/3 - (b^2*c^2*log(c*x^(3/2) + 1))/3 + (b^2*c^2*log(c*x^(3/2) + 1)^2)/12 + (b^2*c^2*log(1 - c*x^(3/2))^2)/12 - (b^2*log(c*x^(3/2) + 1)^2)/(12*x^3) - (b^2*log(1 - c*x^(3/2))^2)/(12*x^3) - (a*b*c^2*log(c*x^(3/2) - 1))/3 + (a*b*c^2*log(c*x^(3/2) + 1))/3 - (2*a*b*c)/(3*x^(3/2)) - (a*b*log(c*x^(3/2) + 1))/(3*x^3) + (a*b*log(1 - c*x^(3/2)))/(3*x^3) - (b^2*c^2*log(c*x^(3/2) + 1)*log(1 - c*x^(3/2)))/6 - (b^2*c*log(c*x^(3/2) + 1))/(3*x^(3/2)) + (b^2*c*log(1 - c*x^(3/2)))/(3*x^(3/2)) + (b^2*log(c*x^(3/2) + 1)*log(1 - c*x^(3/2)))/(6*x^3)","B"
224,0,-1,66,0.000000,"\text{Not used}","int(x^2*(a + b*atanh(c*x^n)),x)","\int x^2\,\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right) \,d x","Not used",1,"int(x^2*(a + b*atanh(c*x^n)), x)","F"
225,0,-1,67,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x^n)),x)","\int x\,\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right) \,d x","Not used",1,"int(x*(a + b*atanh(c*x^n)), x)","F"
226,0,-1,58,0.000000,"\text{Not used}","int(a + b*atanh(c*x^n),x)","\int a+b\,\mathrm{atanh}\left(c\,x^n\right) \,d x","Not used",1,"int(a + b*atanh(c*x^n), x)","F"
227,0,-1,36,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))/x,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^n\right)}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^n))/x, x)","F"
228,0,-1,67,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))/x^2,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^n\right)}{x^2} \,d x","Not used",1,"int((a + b*atanh(c*x^n))/x^2, x)","F"
229,0,-1,70,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))/x^3,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^n\right)}{x^3} \,d x","Not used",1,"int((a + b*atanh(c*x^n))/x^3, x)","F"
230,0,-1,72,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))/x^4,x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^n\right)}{x^4} \,d x","Not used",1,"int((a + b*atanh(c*x^n))/x^4, x)","F"
231,0,-1,17,0.000000,"\text{Not used}","int(x*(a + b*atanh(c*x^n))^2,x)","\int x\,{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2 \,d x","Not used",0,"int(x*(a + b*atanh(c*x^n))^2, x)","F"
232,0,-1,15,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2 \,d x","Not used",0,"int((a + b*atanh(c*x^n))^2, x)","F"
233,0,-1,148,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atanh(c*x^n))^2/x, x)","F"
234,0,-1,19,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2}{x^2} \,d x","Not used",0,"int((a + b*atanh(c*x^n))^2/x^2, x)","F"
235,0,-1,19,0.000000,"\text{Not used}","int((a + b*atanh(c*x^n))^2/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2}{x^3} \,d x","Not used",0,"int((a + b*atanh(c*x^n))^2/x^3, x)","F"
236,0,-1,30,0.000000,"\text{Not used}","int(atanh(a*x^n)/x,x)","\int \frac{\mathrm{atanh}\left(a\,x^n\right)}{x} \,d x","Not used",1,"int(atanh(a*x^n)/x, x)","F"
237,0,-1,24,0.000000,"\text{Not used}","int(atanh(a*x^5)/x,x)","\int \frac{\mathrm{atanh}\left(a\,x^5\right)}{x} \,d x","Not used",1,"int(atanh(a*x^5)/x, x)","F"
238,1,15,19,0.070784,"\text{Not used}","int(atanh(1/x),x)","\frac{\ln\left(x^2-1\right)}{2}+x\,\mathrm{atanh}\left(\frac{1}{x}\right)","Not used",1,"log(x^2 - 1)/2 + x*atanh(1/x)","B"
239,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^n))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^n))^3, x)","F"
240,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^n))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atanh(c*x^n))^2, x)","F"
241,0,-1,84,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atanh(c*x^n)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atanh(c*x^n)), x)","F"
242,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^n)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atanh}\left(c\,x^n\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^n)), x)","F"
243,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atanh(c*x^n))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atanh}\left(c\,x^n\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atanh(c*x^n))^2, x)","F"