1,1,41,51,1.313036,"\text{Not used}","int(x^5*acoth(a*x),x)","\frac{\frac{a\,x}{6}-\frac{\mathrm{acoth}\left(a\,x\right)}{6}+\frac{a^3\,x^3}{18}+\frac{a^5\,x^5}{30}}{a^6}+\frac{x^6\,\mathrm{acoth}\left(a\,x\right)}{6}","Not used",1,"((a*x)/6 - acoth(a*x)/6 + (a^3*x^3)/18 + (a^5*x^5)/30)/a^6 + (x^6*acoth(a*x))/6","B"
2,1,43,50,1.267019,"\text{Not used}","int(x^4*acoth(a*x),x)","\frac{\frac{\ln\left(a^2\,x^2-1\right)}{10}+\frac{a^2\,x^2}{10}+\frac{a^4\,x^4}{20}}{a^5}+\frac{x^5\,\mathrm{acoth}\left(a\,x\right)}{5}","Not used",1,"(log(a^2*x^2 - 1)/10 + (a^2*x^2)/10 + (a^4*x^4)/20)/a^5 + (x^5*acoth(a*x))/5","B"
3,1,33,41,1.219361,"\text{Not used}","int(x^3*acoth(a*x),x)","\frac{\frac{a\,x}{4}-\frac{\mathrm{acoth}\left(a\,x\right)}{4}+\frac{a^3\,x^3}{12}}{a^4}+\frac{x^4\,\mathrm{acoth}\left(a\,x\right)}{4}","Not used",1,"((a*x)/4 - acoth(a*x)/4 + (a^3*x^3)/12)/a^4 + (x^4*acoth(a*x))/4","B"
4,1,35,40,1.224876,"\text{Not used}","int(x^2*acoth(a*x),x)","\frac{\frac{\ln\left(a^2\,x^2-1\right)}{6}+\frac{a^2\,x^2}{6}}{a^3}+\frac{x^3\,\mathrm{acoth}\left(a\,x\right)}{3}","Not used",1,"(log(a^2*x^2 - 1)/6 + (a^2*x^2)/6)/a^3 + (x^3*acoth(a*x))/3","B"
5,1,26,31,1.180480,"\text{Not used}","int(x*acoth(a*x),x)","\frac{x^2\,\mathrm{acoth}\left(a\,x\right)}{2}-\frac{\frac{\mathrm{acoth}\left(a\,x\right)}{2}-\frac{a\,x}{2}}{a^2}","Not used",1,"(x^2*acoth(a*x))/2 - (acoth(a*x)/2 - (a*x)/2)/a^2","B"
6,1,22,25,1.149310,"\text{Not used}","int(acoth(a*x),x)","x\,\mathrm{acoth}\left(a\,x\right)+\frac{\ln\left(a^2\,x^2-1\right)}{2\,a}","Not used",1,"x*acoth(a*x) + log(a^2*x^2 - 1)/(2*a)","B"
7,0,-1,28,0.000000,"\text{Not used}","int(acoth(a*x)/x,x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{x} \,d x","Not used",1,"int(acoth(a*x)/x, x)","F"
8,1,27,30,1.163323,"\text{Not used}","int(acoth(a*x)/x^2,x)","a\,\ln\left(x\right)-\frac{a\,\ln\left(a^2\,x^2-1\right)}{2}-\frac{\mathrm{acoth}\left(a\,x\right)}{x}","Not used",1,"a*log(x) - (a*log(a^2*x^2 - 1))/2 - acoth(a*x)/x","B"
9,1,40,31,1.190452,"\text{Not used}","int(acoth(a*x)/x^3,x)","\frac{a\,\mathrm{atan}\left(\frac{a^2\,x}{\sqrt{-a^2}}\right)\,\sqrt{-a^2}}{2}-\frac{\frac{\mathrm{acoth}\left(a\,x\right)}{2}+\frac{a\,x}{2}}{x^2}","Not used",1,"(a*atan((a^2*x)/(-a^2)^(1/2))*(-a^2)^(1/2))/2 - (acoth(a*x)/2 + (a*x)/2)/x^2","B"
10,1,39,47,1.182948,"\text{Not used}","int(acoth(a*x)/x^4,x)","\frac{a^3\,\ln\left(x\right)}{3}-\frac{\frac{\mathrm{acoth}\left(a\,x\right)}{3}+\frac{a\,x}{6}}{x^3}-\frac{a^3\,\ln\left(a^2\,x^2-1\right)}{6}","Not used",1,"(a^3*log(x))/3 - (acoth(a*x)/3 + (a*x)/6)/x^3 - (a^3*log(a^2*x^2 - 1))/6","B"
11,1,60,41,1.605895,"\text{Not used}","int(acoth(a*x)/x^5,x)","\frac{\ln\left(1-\frac{1}{a\,x}\right)}{8\,x^4}-\frac{\ln\left(\frac{1}{a\,x}+1\right)}{8\,x^4}-\frac{a^3\,x^2+\frac{a}{3}}{4\,x^3}-\frac{a^4\,\mathrm{atan}\left(a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"log(1 - 1/(a*x))/(8*x^4) - (a^4*atan(a*x*1i)*1i)/4 - log(1/(a*x) + 1)/(8*x^4) - (a/3 + a^3*x^2)/(4*x^3)","B"
12,1,85,105,1.364841,"\text{Not used}","int(x^5*acoth(a*x)^2,x)","\frac{x^6\,{\mathrm{acoth}\left(a\,x\right)}^2}{6}+\frac{\frac{23\,\ln\left(a^2\,x^2-1\right)}{90}+\frac{4\,a^2\,x^2}{45}+\frac{a^4\,x^4}{60}-\frac{{\mathrm{acoth}\left(a\,x\right)}^2}{6}+\frac{a^3\,x^3\,\mathrm{acoth}\left(a\,x\right)}{9}+\frac{a^5\,x^5\,\mathrm{acoth}\left(a\,x\right)}{15}+\frac{a\,x\,\mathrm{acoth}\left(a\,x\right)}{3}}{a^6}","Not used",1,"(x^6*acoth(a*x)^2)/6 + ((23*log(a^2*x^2 - 1))/90 + (4*a^2*x^2)/45 + (a^4*x^4)/60 - acoth(a*x)^2/6 + (a^3*x^3*acoth(a*x))/9 + (a^5*x^5*acoth(a*x))/15 + (a*x*acoth(a*x))/3)/a^6","B"
13,0,-1,127,0.000000,"\text{Not used}","int(x^4*acoth(a*x)^2,x)","\int x^4\,{\mathrm{acoth}\left(a\,x\right)}^2 \,d x","Not used",1,"int(x^4*acoth(a*x)^2, x)","F"
14,1,65,81,1.264920,"\text{Not used}","int(x^3*acoth(a*x)^2,x)","\frac{x^4\,{\mathrm{acoth}\left(a\,x\right)}^2}{4}+\frac{\frac{\ln\left(a^2\,x^2-1\right)}{3}+\frac{a^2\,x^2}{12}-\frac{{\mathrm{acoth}\left(a\,x\right)}^2}{4}+\frac{a^3\,x^3\,\mathrm{acoth}\left(a\,x\right)}{6}+\frac{a\,x\,\mathrm{acoth}\left(a\,x\right)}{2}}{a^4}","Not used",1,"(x^4*acoth(a*x)^2)/4 + (log(a^2*x^2 - 1)/3 + (a^2*x^2)/12 - acoth(a*x)^2/4 + (a^3*x^3*acoth(a*x))/6 + (a*x*acoth(a*x))/2)/a^4","B"
15,0,-1,103,0.000000,"\text{Not used}","int(x^2*acoth(a*x)^2,x)","\int x^2\,{\mathrm{acoth}\left(a\,x\right)}^2 \,d x","Not used",1,"int(x^2*acoth(a*x)^2, x)","F"
16,1,44,54,1.209258,"\text{Not used}","int(x*acoth(a*x)^2,x)","\frac{x^2\,{\mathrm{acoth}\left(a\,x\right)}^2}{2}+\frac{-\frac{{\mathrm{acoth}\left(a\,x\right)}^2}{2}+a\,x\,\mathrm{acoth}\left(a\,x\right)+\frac{\ln\left(a^2\,x^2-1\right)}{2}}{a^2}","Not used",1,"(x^2*acoth(a*x)^2)/2 + (log(a^2*x^2 - 1)/2 - acoth(a*x)^2/2 + a*x*acoth(a*x))/a^2","B"
17,0,-1,58,0.000000,"\text{Not used}","int(acoth(a*x)^2,x)","\int {\mathrm{acoth}\left(a\,x\right)}^2 \,d x","Not used",1,"int(acoth(a*x)^2, x)","F"
18,0,-1,97,0.000000,"\text{Not used}","int(acoth(a*x)^2/x,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^2}{x} \,d x","Not used",1,"int(acoth(a*x)^2/x, x)","F"
19,0,-1,55,0.000000,"\text{Not used}","int(acoth(a*x)^2/x^2,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^2}{x^2} \,d x","Not used",1,"int(acoth(a*x)^2/x^2, x)","F"
20,1,145,61,1.447255,"\text{Not used}","int(acoth(a*x)^2/x^3,x)","a^2\,\ln\left(x\right)+{\ln\left(\frac{1}{a\,x}+1\right)}^2\,\left(\frac{a^2}{8}-\frac{1}{8\,x^2}\right)+{\ln\left(1-\frac{1}{a\,x}\right)}^2\,\left(\frac{a^2}{8}-\frac{1}{8\,x^2}\right)-\frac{a^2\,\ln\left(a^2\,x^2-1\right)}{2}+\ln\left(1-\frac{1}{a\,x}\right)\,\left(\frac{4\,a\,x-2}{16\,x^2}+\frac{4\,a\,x+2}{16\,x^2}-\ln\left(\frac{1}{a\,x}+1\right)\,\left(\frac{a^2}{4}-\frac{1}{4\,x^2}\right)\right)-\frac{a\,\ln\left(\frac{1}{a\,x}+1\right)}{2\,x}","Not used",1,"a^2*log(x) + log(1/(a*x) + 1)^2*(a^2/8 - 1/(8*x^2)) + log(1 - 1/(a*x))^2*(a^2/8 - 1/(8*x^2)) - (a^2*log(a^2*x^2 - 1))/2 + log(1 - 1/(a*x))*((4*a*x - 2)/(16*x^2) + (4*a*x + 2)/(16*x^2) - log(1/(a*x) + 1)*(a^2/4 - 1/(4*x^2))) - (a*log(1/(a*x) + 1))/(2*x)","B"
21,0,-1,103,0.000000,"\text{Not used}","int(acoth(a*x)^2/x^4,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^2}{x^4} \,d x","Not used",1,"int(acoth(a*x)^2/x^4, x)","F"
22,1,196,90,1.550164,"\text{Not used}","int(acoth(a*x)^2/x^5,x)","\frac{2\,a^4\,\ln\left(x\right)}{3}+{\ln\left(\frac{1}{a\,x}+1\right)}^2\,\left(\frac{a^4}{16}-\frac{1}{16\,x^4}\right)+{\ln\left(1-\frac{1}{a\,x}\right)}^2\,\left(\frac{a^4}{16}-\frac{1}{16\,x^4}\right)+\ln\left(1-\frac{1}{a\,x}\right)\,\left(\frac{24\,a^3\,x^3-12\,a^2\,x^2+8\,a\,x-6}{192\,x^4}+\frac{24\,a^3\,x^3+12\,a^2\,x^2+8\,a\,x+6}{192\,x^4}-\ln\left(\frac{1}{a\,x}+1\right)\,\left(\frac{a^4}{8}-\frac{1}{8\,x^4}\right)\right)-\frac{a^4\,\ln\left(a^2\,x^2-1\right)}{3}-\frac{a^2}{12\,x^2}-\frac{a\,\ln\left(\frac{1}{a\,x}+1\right)\,\left(\frac{a^2\,x^2}{4}+\frac{1}{12}\right)}{x^3}","Not used",1,"(2*a^4*log(x))/3 + log(1/(a*x) + 1)^2*(a^4/16 - 1/(16*x^4)) + log(1 - 1/(a*x))^2*(a^4/16 - 1/(16*x^4)) + log(1 - 1/(a*x))*((8*a*x - 12*a^2*x^2 + 24*a^3*x^3 - 6)/(192*x^4) + (8*a*x + 12*a^2*x^2 + 24*a^3*x^3 + 6)/(192*x^4) - log(1/(a*x) + 1)*(a^4/8 - 1/(8*x^4))) - (a^4*log(a^2*x^2 - 1))/3 - a^2/(12*x^2) - (a*log(1/(a*x) + 1)*((a^2*x^2)/4 + 1/12))/x^3","B"
23,0,-1,186,0.000000,"\text{Not used}","int(x^5*acoth(a*x)^3,x)","\int x^5\,{\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(x^5*acoth(a*x)^3, x)","F"
24,0,-1,196,0.000000,"\text{Not used}","int(x^4*acoth(a*x)^3,x)","\int x^4\,{\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(x^4*acoth(a*x)^3, x)","F"
25,0,-1,139,0.000000,"\text{Not used}","int(x^3*acoth(a*x)^3,x)","\int x^3\,{\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(x^3*acoth(a*x)^3, x)","F"
26,0,-1,149,0.000000,"\text{Not used}","int(x^2*acoth(a*x)^3,x)","\int x^2\,{\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(x^2*acoth(a*x)^3, x)","F"
27,0,-1,95,0.000000,"\text{Not used}","int(x*acoth(a*x)^3,x)","\int x\,{\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(x*acoth(a*x)^3, x)","F"
28,0,-1,85,0.000000,"\text{Not used}","int(acoth(a*x)^3,x)","\int {\mathrm{acoth}\left(a\,x\right)}^3 \,d x","Not used",1,"int(acoth(a*x)^3, x)","F"
29,0,-1,150,0.000000,"\text{Not used}","int(acoth(a*x)^3/x,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^3}{x} \,d x","Not used",1,"int(acoth(a*x)^3/x, x)","F"
30,0,-1,79,0.000000,"\text{Not used}","int(acoth(a*x)^3/x^2,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^3}{x^2} \,d x","Not used",1,"int(acoth(a*x)^3/x^2, x)","F"
31,0,-1,95,0.000000,"\text{Not used}","int(acoth(a*x)^3/x^3,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^3}{x^3} \,d x","Not used",1,"int(acoth(a*x)^3/x^3, x)","F"
32,0,-1,154,0.000000,"\text{Not used}","int(acoth(a*x)^3/x^4,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^3}{x^4} \,d x","Not used",1,"int(acoth(a*x)^3/x^4, x)","F"
33,0,-1,141,0.000000,"\text{Not used}","int(acoth(a*x)^3/x^5,x)","\int \frac{{\mathrm{acoth}\left(a\,x\right)}^3}{x^5} \,d x","Not used",1,"int(acoth(a*x)^3/x^5, x)","F"
34,0,-1,164,0.000000,"\text{Not used}","int(acoth(c*x)^2/(d + e*x),x)","\int \frac{{\mathrm{acoth}\left(c\,x\right)}^2}{d+e\,x} \,d x","Not used",1,"int(acoth(c*x)^2/(d + e*x), x)","F"
35,1,296,245,1.509254,"\text{Not used}","int(acoth(a*x)*(c + d*x^2)^4,x)","\ln\left(\frac{1}{a\,x}+1\right)\,\left(\frac{c^4\,x}{2}+\frac{2\,c^3\,d\,x^3}{3}+\frac{3\,c^2\,d^2\,x^5}{5}+\frac{2\,c\,d^3\,x^7}{7}+\frac{d^4\,x^9}{18}\right)-\ln\left(1-\frac{1}{a\,x}\right)\,\left(\frac{c^4\,x}{2}+\frac{2\,c^3\,d\,x^3}{3}+\frac{3\,c^2\,d^2\,x^5}{5}+\frac{2\,c\,d^3\,x^7}{7}+\frac{d^4\,x^9}{18}\right)+x^2\,\left(\frac{\frac{\frac{d^4}{9\,a^3}+\frac{4\,c\,d^3}{7\,a}}{a^2}+\frac{6\,c^2\,d^2}{5\,a}}{2\,a^2}+\frac{2\,c^3\,d}{3\,a}\right)+x^6\,\left(\frac{d^4}{54\,a^3}+\frac{2\,c\,d^3}{21\,a}\right)+x^4\,\left(\frac{\frac{d^4}{9\,a^3}+\frac{4\,c\,d^3}{7\,a}}{4\,a^2}+\frac{3\,c^2\,d^2}{10\,a}\right)+\frac{\ln\left(a^2\,x^2-1\right)\,\left(315\,a^8\,c^4+420\,a^6\,c^3\,d+378\,a^4\,c^2\,d^2+180\,a^2\,c\,d^3+35\,d^4\right)}{630\,a^9}+\frac{d^4\,x^8}{72\,a}","Not used",1,"log(1/(a*x) + 1)*((c^4*x)/2 + (d^4*x^9)/18 + (2*c^3*d*x^3)/3 + (2*c*d^3*x^7)/7 + (3*c^2*d^2*x^5)/5) - log(1 - 1/(a*x))*((c^4*x)/2 + (d^4*x^9)/18 + (2*c^3*d*x^3)/3 + (2*c*d^3*x^7)/7 + (3*c^2*d^2*x^5)/5) + x^2*(((d^4/(9*a^3) + (4*c*d^3)/(7*a))/a^2 + (6*c^2*d^2)/(5*a))/(2*a^2) + (2*c^3*d)/(3*a)) + x^6*(d^4/(54*a^3) + (2*c*d^3)/(21*a)) + x^4*((d^4/(9*a^3) + (4*c*d^3)/(7*a))/(4*a^2) + (3*c^2*d^2)/(10*a)) + (log(a^2*x^2 - 1)*(35*d^4 + 315*a^8*c^4 + 180*a^2*c*d^3 + 420*a^6*c^3*d + 378*a^4*c^2*d^2))/(630*a^9) + (d^4*x^8)/(72*a)","B"
36,1,190,169,1.519412,"\text{Not used}","int(acoth(a*x)*(c + d*x^2)^3,x)","c^3\,x\,\mathrm{acoth}\left(a\,x\right)+\frac{d^3\,x^7\,\mathrm{acoth}\left(a\,x\right)}{7}+\frac{c^3\,\ln\left(a^2\,x^2-1\right)}{2\,a}+\frac{d^3\,\ln\left(a^2\,x^2-1\right)}{14\,a^7}+\frac{d^3\,x^6}{42\,a}+\frac{d^3\,x^4}{28\,a^3}+\frac{d^3\,x^2}{14\,a^5}+\frac{c^2\,d\,\ln\left(a^2\,x^2-1\right)}{2\,a^3}+\frac{3\,c\,d^2\,\ln\left(a^2\,x^2-1\right)}{10\,a^5}+\frac{c^2\,d\,x^2}{2\,a}+\frac{3\,c\,d^2\,x^4}{20\,a}+\frac{3\,c\,d^2\,x^2}{10\,a^3}+c^2\,d\,x^3\,\mathrm{acoth}\left(a\,x\right)+\frac{3\,c\,d^2\,x^5\,\mathrm{acoth}\left(a\,x\right)}{5}","Not used",1,"c^3*x*acoth(a*x) + (d^3*x^7*acoth(a*x))/7 + (c^3*log(a^2*x^2 - 1))/(2*a) + (d^3*log(a^2*x^2 - 1))/(14*a^7) + (d^3*x^6)/(42*a) + (d^3*x^4)/(28*a^3) + (d^3*x^2)/(14*a^5) + (c^2*d*log(a^2*x^2 - 1))/(2*a^3) + (3*c*d^2*log(a^2*x^2 - 1))/(10*a^5) + (c^2*d*x^2)/(2*a) + (3*c*d^2*x^4)/(20*a) + (3*c*d^2*x^2)/(10*a^3) + c^2*d*x^3*acoth(a*x) + (3*c*d^2*x^5*acoth(a*x))/5","B"
37,1,115,110,1.370385,"\text{Not used}","int(acoth(a*x)*(c + d*x^2)^2,x)","\frac{a^4\,\left(\frac{c^2\,\ln\left(a^2\,x^2-1\right)}{2}+\frac{d^2\,x^4}{20}+\frac{c\,d\,x^2}{3}\right)+a^2\,\left(\frac{d^2\,x^2}{10}+\frac{c\,d\,\ln\left(a^2\,x^2-1\right)}{3}\right)+\frac{d^2\,\ln\left(a^2\,x^2-1\right)}{10}}{a^5}+c^2\,x\,\mathrm{acoth}\left(a\,x\right)+\frac{d^2\,x^5\,\mathrm{acoth}\left(a\,x\right)}{5}+\frac{2\,c\,d\,x^3\,\mathrm{acoth}\left(a\,x\right)}{3}","Not used",1,"(a^4*((c^2*log(a^2*x^2 - 1))/2 + (d^2*x^4)/20 + (c*d*x^2)/3) + a^2*((d^2*x^2)/10 + (c*d*log(a^2*x^2 - 1))/3) + (d^2*log(a^2*x^2 - 1))/10)/a^5 + c^2*x*acoth(a*x) + (d^2*x^5*acoth(a*x))/5 + (2*c*d*x^3*acoth(a*x))/3","B"
38,1,60,57,1.274034,"\text{Not used}","int(acoth(a*x)*(c + d*x^2),x)","\frac{\frac{d\,\ln\left(a^2\,x^2-1\right)}{6}+a^2\,\left(\frac{c\,\ln\left(a^2\,x^2-1\right)}{2}+\frac{d\,x^2}{6}\right)}{a^3}+\frac{d\,x^3\,\mathrm{acoth}\left(a\,x\right)}{3}+c\,x\,\mathrm{acoth}\left(a\,x\right)","Not used",1,"((d*log(a^2*x^2 - 1))/6 + a^2*((c*log(a^2*x^2 - 1))/2 + (d*x^2)/6))/a^3 + (d*x^3*acoth(a*x))/3 + c*x*acoth(a*x)","B"
39,0,-1,390,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2), x)","F"
40,0,-1,590,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^2,x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^2} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^2, x)","F"
41,0,-1,657,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^3,x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^3} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^3, x)","F"
42,0,-1,19,0.000000,"\text{Not used}","int(acoth(a*x)*(c + d*x^2)^(1/2),x)","\int \mathrm{acoth}\left(a\,x\right)\,\sqrt{d\,x^2+c} \,d x","Not used",0,"int(acoth(a*x)*(c + d*x^2)^(1/2), x)","F"
43,0,-1,19,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^(1/2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{\sqrt{d\,x^2+c}} \,d x","Not used",0,"int(acoth(a*x)/(c + d*x^2)^(1/2), x)","F"
44,0,-1,62,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^(3/2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^(3/2), x)","F"
45,0,-1,128,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^(5/2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^(5/2), x)","F"
46,0,-1,200,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^(7/2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^(7/2), x)","F"
47,0,-1,283,0.000000,"\text{Not used}","int(acoth(a*x)/(c + d*x^2)^(9/2),x)","\int \frac{\mathrm{acoth}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{9/2}} \,d x","Not used",1,"int(acoth(a*x)/(c + d*x^2)^(9/2), x)","F"
48,0,-1,186,0.000000,"\text{Not used}","int(acoth(x)*(a - a*x^2)^(1/2),x)","\int \mathrm{acoth}\left(x\right)\,\sqrt{a-a\,x^2} \,d x","Not used",1,"int(acoth(x)*(a - a*x^2)^(1/2), x)","F"
49,0,-1,144,0.000000,"\text{Not used}","int(acoth(x)/(a - a*x^2)^(1/2),x)","\int \frac{\mathrm{acoth}\left(x\right)}{\sqrt{a-a\,x^2}} \,d x","Not used",1,"int(acoth(x)/(a - a*x^2)^(1/2), x)","F"
50,0,-1,37,0.000000,"\text{Not used}","int(acoth(x)/(a - a*x^2)^(3/2),x)","\int \frac{\mathrm{acoth}\left(x\right)}{{\left(a-a\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(acoth(x)/(a - a*x^2)^(3/2), x)","F"
51,0,-1,83,0.000000,"\text{Not used}","int(acoth(x)/(a - a*x^2)^(5/2),x)","\int \frac{\mathrm{acoth}\left(x\right)}{{\left(a-a\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(acoth(x)/(a - a*x^2)^(5/2), x)","F"
52,0,-1,124,0.000000,"\text{Not used}","int(acoth(x)/(a - a*x^2)^(7/2),x)","\int \frac{\mathrm{acoth}\left(x\right)}{{\left(a-a\,x^2\right)}^{7/2}} \,d x","Not used",1,"int(acoth(x)/(a - a*x^2)^(7/2), x)","F"
53,1,3,3,0.304197,"\text{Not used}","int(-1/(acoth(x)*(x^2 - 1)),x)","\ln\left(\mathrm{acoth}\left(x\right)\right)","Not used",1,"log(acoth(x))","B"
54,1,22,12,1.363318,"\text{Not used}","int(-acoth(x)^n/(x^2 - 1),x)","\left\{\begin{array}{cl} \ln\left(\mathrm{acoth}\left(x\right)\right) & \text{\ if\ \ }n=-1\\ \frac{{\mathrm{acoth}\left(x\right)}^{n+1}}{n+1} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(acoth(x)), n ~= -1, acoth(x)^(n + 1)/(n + 1))","B"
55,1,201,62,2.679939,"\text{Not used}","int(acoth(x)^2/(x^2 - 1)^2,x)","\frac{{\ln\left(\frac{1}{x}+1\right)}^3}{48}-\frac{{\ln\left(1-\frac{1}{x}\right)}^3}{48}-\frac{x}{4\,\left(x^2-1\right)}+\ln\left(1-\frac{1}{x}\right)\,\left(\frac{\frac{3\,x}{32}-\frac{1}{8}}{x^2-1}-\frac{\frac{x}{8}+\frac{1}{8}}{x^2-1}-\frac{{\ln\left(\frac{1}{x}+1\right)}^2}{16}+\frac{x}{32\,\left(x^2-1\right)}+\ln\left(\frac{1}{x}+1\right)\,\left(\frac{\frac{x}{4}+\frac{1}{16}}{x^2-1}-\frac{1}{16\,\left(x^2-1\right)}\right)\right)+{\ln\left(1-\frac{1}{x}\right)}^2\,\left(\frac{\ln\left(\frac{1}{x}+1\right)}{16}-\frac{x}{8\,\left(x^2-1\right)}\right)+\frac{\ln\left(\frac{1}{x}+1\right)}{4\,\left(x^2-1\right)}-\frac{x\,{\ln\left(\frac{1}{x}+1\right)}^2}{8\,\left(x^2-1\right)}-\frac{\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"log(1/x + 1)^3/48 - (atan(x*1i)*1i)/4 - log(1 - 1/x)^3/48 - x/(4*(x^2 - 1)) + log(1 - 1/x)*(((3*x)/32 - 1/8)/(x^2 - 1) - (x/8 + 1/8)/(x^2 - 1) - log(1/x + 1)^2/16 + x/(32*(x^2 - 1)) + log(1/x + 1)*((x/4 + 1/16)/(x^2 - 1) - 1/(16*(x^2 - 1)))) + log(1 - 1/x)^2*(log(1/x + 1)/16 - x/(8*(x^2 - 1))) + log(1/x + 1)/(4*(x^2 - 1)) - (x*log(1/x + 1)^2)/(8*(x^2 - 1))","B"
56,0,-1,37,0.000000,"\text{Not used}","int(-(x*acoth(x))/(x^2 - 1),x)","-\int \frac{x\,\mathrm{acoth}\left(x\right)}{x^2-1} \,d x","Not used",1,"-int((x*acoth(x))/(x^2 - 1), x)","F"
57,1,21,8,1.203450,"\text{Not used}","int(-acoth(x)/(x^2 - 1),x)","\frac{{\left(\ln\left(1-\frac{1}{x}\right)-\ln\left(\frac{1}{x}+1\right)\right)}^2}{8}","Not used",1,"(log(1 - 1/x) - log(1/x + 1))^2/8","B"
58,1,21,36,1.155364,"\text{Not used}","int((x*acoth(x))/(x^2 - 1)^2,x)","\frac{\frac{x}{4}-\frac{\mathrm{acoth}\left(x\right)}{2}}{x^2-1}-\frac{\mathrm{acoth}\left(x\right)}{4}","Not used",1,"(x/4 - acoth(x)/2)/(x^2 - 1) - acoth(x)/4","B"
59,1,81,38,1.216033,"\text{Not used}","int(acoth(x)/(x^2 - 1)^2,x)","\frac{{\ln\left(\frac{1}{x}+1\right)}^2}{16}-\ln\left(1-\frac{1}{x}\right)\,\left(\frac{\ln\left(\frac{1}{x}+1\right)}{8}-\frac{x}{4\,\left(x^2-1\right)}\right)+\frac{{\ln\left(1-\frac{1}{x}\right)}^2}{16}+\frac{1}{4\,\left(x^2-1\right)}-\frac{x\,\ln\left(\frac{1}{x}+1\right)}{4\,\left(x^2-1\right)}","Not used",1,"log(1/x + 1)^2/16 - log(1 - 1/x)*(log(1/x + 1)/8 - x/(4*(x^2 - 1))) + log(1 - 1/x)^2/16 + 1/(4*(x^2 - 1)) - (x*log(1/x + 1))/(4*(x^2 - 1))","B"
60,1,34,50,1.209780,"\text{Not used}","int(-(x*acoth(x))/(x^2 - 1)^3,x)","\frac{3\,\ln\left(x-1\right)}{64}-\frac{3\,\ln\left(x+1\right)}{64}+\frac{\frac{\mathrm{acoth}\left(x\right)}{4}-\frac{5\,x}{32}+\frac{3\,x^3}{32}}{{\left(x^2-1\right)}^2}","Not used",1,"(3*log(x - 1))/64 - (3*log(x + 1))/64 + (acoth(x)/4 - (5*x)/32 + (3*x^3)/32)/(x^2 - 1)^2","B"
61,1,112,67,1.318247,"\text{Not used}","int(-acoth(x)/(x^2 - 1)^3,x)","\frac{3\,{\ln\left(\frac{1}{x}+1\right)}^2}{64}-\ln\left(1-\frac{1}{x}\right)\,\left(\frac{3\,\ln\left(\frac{1}{x}+1\right)}{32}+\frac{\frac{5\,x}{16}-\frac{3\,x^3}{16}}{x^4-2\,x^2+1}\right)+\frac{3\,{\ln\left(1-\frac{1}{x}\right)}^2}{64}+\frac{\frac{3\,x^2}{16}-\frac{1}{4}}{x^4-2\,x^2+1}+\frac{\ln\left(\frac{1}{x}+1\right)\,\left(\frac{5\,x}{16}-\frac{3\,x^3}{16}\right)}{x^4-2\,x^2+1}","Not used",1,"(3*log(1/x + 1)^2)/64 - log(1 - 1/x)*((3*log(1/x + 1))/32 + ((5*x)/16 - (3*x^3)/16)/(x^4 - 2*x^2 + 1)) + (3*log(1 - 1/x)^2)/64 + ((3*x^2)/16 - 1/4)/(x^4 - 2*x^2 + 1) + (log(1/x + 1)*((5*x)/16 - (3*x^3)/16))/(x^4 - 2*x^2 + 1)","B"
62,1,134,101,1.473072,"\text{Not used}","int(x^3*acoth(a + b*x),x)","\frac{x^4\,\ln\left(\frac{1}{a+b\,x}+1\right)}{8}-x\,\left(\frac{4\,a^2-4}{16\,b^3}-\frac{a^2}{b^3}\right)-\frac{x^4\,\ln\left(1-\frac{1}{a+b\,x}\right)}{8}+\frac{x^3}{12\,b}-\frac{a\,x^2}{4\,b^2}+\frac{\ln\left(a+b\,x-1\right)\,\left(a^4-4\,a^3+6\,a^2-4\,a+1\right)}{8\,b^4}-\frac{\ln\left(a+b\,x+1\right)\,\left(a^4+4\,a^3+6\,a^2+4\,a+1\right)}{8\,b^4}","Not used",1,"(x^4*log(1/(a + b*x) + 1))/8 - x*((4*a^2 - 4)/(16*b^3) - a^2/b^3) - (x^4*log(1 - 1/(a + b*x)))/8 + x^3/(12*b) - (a*x^2)/(4*b^2) + (log(a + b*x - 1)*(6*a^2 - 4*a - 4*a^3 + a^4 + 1))/(8*b^4) - (log(a + b*x + 1)*(4*a + 6*a^2 + 4*a^3 + a^4 + 1))/(8*b^4)","B"
63,1,98,78,1.363679,"\text{Not used}","int(x^2*acoth(a + b*x),x)","\frac{x^3\,\ln\left(\frac{1}{a+b\,x}+1\right)}{6}-\frac{x^3\,\ln\left(1-\frac{1}{a+b\,x}\right)}{6}+\frac{x^2}{6\,b}-\frac{\ln\left(a+b\,x-1\right)\,\left(a^3-3\,a^2+3\,a-1\right)}{6\,b^3}+\frac{\ln\left(a+b\,x+1\right)\,\left(a^3+3\,a^2+3\,a+1\right)}{6\,b^3}-\frac{2\,a\,x}{3\,b^2}","Not used",1,"(x^3*log(1/(a + b*x) + 1))/6 - (x^3*log(1 - 1/(a + b*x)))/6 + x^2/(6*b) - (log(a + b*x - 1)*(3*a - 3*a^2 + a^3 - 1))/(6*b^3) + (log(a + b*x + 1)*(3*a + 3*a^2 + a^3 + 1))/(6*b^3) - (2*a*x)/(3*b^2)","B"
64,1,62,65,2.003620,"\text{Not used}","int(x*acoth(a + b*x),x)","\frac{x^2\,\mathrm{acoth}\left(a+b\,x\right)}{2}-\frac{\frac{\mathrm{acoth}\left(a+b\,x\right)}{2}-\frac{b\,x}{2}+\frac{a^2\,\mathrm{acoth}\left(a+b\,x\right)}{2}+\frac{a\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)}{2}}{b^2}","Not used",1,"(x^2*acoth(a + b*x))/2 - (acoth(a + b*x)/2 - (b*x)/2 + (a^2*acoth(a + b*x))/2 + (a*log(a^2 + b^2*x^2 + 2*a*b*x - 1))/2)/b^2","B"
65,1,42,35,1.706608,"\text{Not used}","int(acoth(a + b*x),x)","\frac{\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)}{2}+a\,\mathrm{acoth}\left(a+b\,x\right)}{b}+x\,\mathrm{acoth}\left(a+b\,x\right)","Not used",1,"(log(a^2 + b^2*x^2 + 2*a*b*x - 1)/2 + a*acoth(a + b*x))/b + x*acoth(a + b*x)","B"
66,0,-1,92,0.000000,"\text{Not used}","int(acoth(a + b*x)/x,x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{x} \,d x","Not used",1,"int(acoth(a + b*x)/x, x)","F"
67,1,62,64,1.732197,"\text{Not used}","int(acoth(a + b*x)/x^2,x)","-\frac{\mathrm{acoth}\left(a+b\,x\right)}{x}-\frac{b\,x\,\ln\left(x\right)-\frac{b\,x\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)}{2}+a\,b\,x\,\mathrm{acoth}\left(a+b\,x\right)}{x\,\left(a^2-1\right)}","Not used",1,"- acoth(a + b*x)/x - (b*x*log(x) - (b*x*log(a^2 + b^2*x^2 + 2*a*b*x - 1))/2 + a*b*x*acoth(a + b*x))/(x*(a^2 - 1))","B"
68,1,247,90,1.951455,"\text{Not used}","int(acoth(a + b*x)/x^3,x)","\ln\left(x\right)\,\left(\frac{b^2}{4\,{\left(a-1\right)}^2}-\frac{b^2}{4\,{\left(a+1\right)}^2}\right)-\ln\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)\,\left(\frac{b^2}{8\,{\left(a-1\right)}^2}-\frac{b^2}{8\,{\left(a+1\right)}^2}\right)-\frac{\mathrm{acoth}\left(a+b\,x\right)\,\left(\frac{a^2}{2}-\frac{1}{2}\right)-\frac{b\,x}{2}+\frac{b^2\,x^2\,\mathrm{acoth}\left(a+b\,x\right)}{2}+\frac{x^3\,\left(3\,a^2\,b^3+b^3\right)}{2\,{\left(a^2-1\right)}^2}+\frac{a\,b^4\,x^4}{{\left(a^2-1\right)}^2}+a\,b\,x\,\mathrm{acoth}\left(a+b\,x\right)}{a^2\,x^2+2\,a\,b\,x^3+b^2\,x^4-x^2}-\frac{\mathrm{atan}\left(\frac{2\,x\,b^2+2\,a\,b}{2\,\sqrt{b^2\,\left(a^2-1\right)-a^2\,b^2}}\right)\,\left(a^2\,b^3+b^3\right)}{\sqrt{-b^2}\,\left(2\,a^4-4\,a^2+2\right)}","Not used",1,"log(x)*(b^2/(4*(a - 1)^2) - b^2/(4*(a + 1)^2)) - log(a^2 + b^2*x^2 + 2*a*b*x - 1)*(b^2/(8*(a - 1)^2) - b^2/(8*(a + 1)^2)) - (acoth(a + b*x)*(a^2/2 - 1/2) - (b*x)/2 + (b^2*x^2*acoth(a + b*x))/2 + (x^3*(b^3 + 3*a^2*b^3))/(2*(a^2 - 1)^2) + (a*b^4*x^4)/(a^2 - 1)^2 + a*b*x*acoth(a + b*x))/(a^2*x^2 - x^2 + b^2*x^4 + 2*a*b*x^3) - (atan((2*a*b + 2*b^2*x)/(2*(b^2*(a^2 - 1) - a^2*b^2)^(1/2)))*(b^3 + a^2*b^3))/((-b^2)^(1/2)*(2*a^4 - 4*a^2 + 2))","B"
69,0,-1,263,0.000000,"\text{Not used}","int(x^3*acoth(a + b*x)^2,x)","\int x^3\,{\mathrm{acoth}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^3*acoth(a + b*x)^2, x)","F"
70,0,-1,204,0.000000,"\text{Not used}","int(x^2*acoth(a + b*x)^2,x)","\int x^2\,{\mathrm{acoth}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x^2*acoth(a + b*x)^2, x)","F"
71,0,-1,136,0.000000,"\text{Not used}","int(x*acoth(a + b*x)^2,x)","\int x\,{\mathrm{acoth}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(x*acoth(a + b*x)^2, x)","F"
72,0,-1,81,0.000000,"\text{Not used}","int(acoth(a + b*x)^2,x)","\int {\mathrm{acoth}\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(acoth(a + b*x)^2, x)","F"
73,0,-1,148,0.000000,"\text{Not used}","int(acoth(a + b*x)^2/x,x)","\int \frac{{\mathrm{acoth}\left(a+b\,x\right)}^2}{x} \,d x","Not used",1,"int(acoth(a + b*x)^2/x, x)","F"
74,0,-1,251,0.000000,"\text{Not used}","int(acoth(a + b*x)^2/x^2,x)","\int \frac{{\mathrm{acoth}\left(a+b\,x\right)}^2}{x^2} \,d x","Not used",1,"int(acoth(a + b*x)^2/x^2, x)","F"
75,0,-1,370,0.000000,"\text{Not used}","int(acoth(a + b*x)^2/x^3,x)","\int \frac{{\mathrm{acoth}\left(a+b\,x\right)}^2}{x^3} \,d x","Not used",1,"int(acoth(a + b*x)^2/x^3, x)","F"
76,0,-1,673,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d*x^2),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d*x^2), x)","F"
77,0,-1,120,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d*x),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{c+d\,x} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d*x), x)","F"
78,0,-1,292,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d/x),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{c+\frac{d}{x}} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d/x), x)","F"
79,0,-1,738,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d/x^2),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{c+\frac{d}{x^2}} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d/x^2), x)","F"
80,0,-1,619,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d*x^(1/2)),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{c+d\,\sqrt{x}} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d*x^(1/2)), x)","F"
81,0,-1,738,0.000000,"\text{Not used}","int(acoth(a + b*x)/(c + d/x^(1/2)),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{c+\frac{d}{\sqrt{x}}} \,d x","Not used",1,"int(acoth(a + b*x)/(c + d/x^(1/2)), x)","F"
82,0,-1,335,0.000000,"\text{Not used}","int(acoth(d + e*x)/(a + b*x + c*x^2),x)","\int \frac{\mathrm{acoth}\left(d+e\,x\right)}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(acoth(d + e*x)/(a + b*x + c*x^2), x)","F"
83,1,31,51,1.304869,"\text{Not used}","int(x^2*acoth(x^(1/2)),x)","\frac{x^3\,\mathrm{acoth}\left(\sqrt{x}\right)}{3}-\frac{\mathrm{acoth}\left(\sqrt{x}\right)}{3}+\frac{\sqrt{x}}{3}+\frac{x^{3/2}}{9}+\frac{x^{5/2}}{15}","Not used",1,"(x^3*acoth(x^(1/2)))/3 - acoth(x^(1/2))/3 + x^(1/2)/3 + x^(3/2)/9 + x^(5/2)/15","B"
84,1,26,42,1.262961,"\text{Not used}","int(x*acoth(x^(1/2)),x)","\frac{x^2\,\mathrm{acoth}\left(\sqrt{x}\right)}{2}-\frac{\mathrm{acoth}\left(\sqrt{x}\right)}{2}+\frac{\sqrt{x}}{2}+\frac{x^{3/2}}{6}","Not used",1,"(x^2*acoth(x^(1/2)))/2 - acoth(x^(1/2))/2 + x^(1/2)/2 + x^(3/2)/6","B"
85,1,16,22,1.237206,"\text{Not used}","int(acoth(x^(1/2)),x)","x\,\mathrm{acoth}\left(\sqrt{x}\right)-\mathrm{acoth}\left(\sqrt{x}\right)+\sqrt{x}","Not used",1,"x*acoth(x^(1/2)) - acoth(x^(1/2)) + x^(1/2)","B"
86,0,-1,19,0.000000,"\text{Not used}","int(acoth(x^(1/2))/x,x)","\int \frac{\mathrm{acoth}\left(\sqrt{x}\right)}{x} \,d x","Not used",1,"int(acoth(x^(1/2))/x, x)","F"
87,1,18,25,1.271662,"\text{Not used}","int(acoth(x^(1/2))/x^2,x)","\mathrm{atanh}\left(\sqrt{x}\right)-\frac{\mathrm{acoth}\left(\sqrt{x}\right)+\sqrt{x}}{x}","Not used",1,"atanh(x^(1/2)) - (acoth(x^(1/2)) + x^(1/2))/x","B"
88,1,45,42,1.487035,"\text{Not used}","int(acoth(x^(1/2))/x^3,x)","\frac{\ln\left(1-\frac{1}{\sqrt{x}}\right)}{4\,x^2}-\frac{\frac{x}{2}+\frac{1}{6}}{x^{3/2}}-\frac{\ln\left(\frac{1}{\sqrt{x}}+1\right)}{4\,x^2}-\frac{\mathrm{atan}\left(\sqrt{x}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"log(1 - 1/x^(1/2))/(4*x^2) - (atan(x^(1/2)*1i)*1i)/2 - (x/2 + 1/6)/x^(3/2) - log(1/x^(1/2) + 1)/(4*x^2)","B"
89,1,24,38,1.259305,"\text{Not used}","int(x^(3/2)*acoth(x^(1/2)),x)","\frac{x}{5}+\frac{\ln\left(x-1\right)}{5}+\frac{2\,x^{5/2}\,\mathrm{acoth}\left(\sqrt{x}\right)}{5}+\frac{x^2}{10}","Not used",1,"x/5 + log(x - 1)/5 + (2*x^(5/2)*acoth(x^(1/2)))/5 + x^2/10","B"
90,0,-1,31,0.000000,"\text{Not used}","int(x^(1/2)*acoth(x^(1/2)),x)","\int \sqrt{x}\,\mathrm{acoth}\left(\sqrt{x}\right) \,d x","Not used",1,"int(x^(1/2)*acoth(x^(1/2)), x)","F"
91,1,14,20,1.289212,"\text{Not used}","int(acoth(x^(1/2))/x^(1/2),x)","\ln\left(x-1\right)+2\,\sqrt{x}\,\mathrm{acoth}\left(\sqrt{x}\right)","Not used",1,"log(x - 1) + 2*x^(1/2)*acoth(x^(1/2))","B"
92,1,22,24,1.251511,"\text{Not used}","int(acoth(x^(1/2))/x^(3/2),x)","2\,\ln\left(\sqrt{x}\right)-\ln\left(x-1\right)-\frac{2\,\mathrm{acoth}\left(\sqrt{x}\right)}{\sqrt{x}}","Not used",1,"2*log(x^(1/2)) - log(x - 1) - (2*acoth(x^(1/2)))/x^(1/2)","B"
93,0,-1,28,0.000000,"\text{Not used}","int(acoth(a*x^5)/x,x)","\int \frac{\mathrm{acoth}\left(a\,x^5\right)}{x} \,d x","Not used",1,"int(acoth(a*x^5)/x, x)","F"
94,1,26,19,1.134629,"\text{Not used}","int(acoth(1/x),x)","\frac{\ln\left(x^2-1\right)}{2}+x\,\left(\frac{\ln\left(x+1\right)}{2}-\frac{\ln\left(1-x\right)}{2}\right)","Not used",1,"log(x^2 - 1)/2 + x*(log(x + 1)/2 - log(1 - x)/2)","B"
95,0,-1,38,0.000000,"\text{Not used}","int(acoth(a*x^n)/x,x)","\int \frac{\mathrm{acoth}\left(a\,x^n\right)}{x} \,d x","Not used",1,"int(acoth(a*x^n)/x, x)","F"
96,1,50,39,2.023768,"\text{Not used}","int(acoth(a + b*x)*(a + b*x),x)","\frac{x}{2}-\frac{\frac{\mathrm{acoth}\left(a+b\,x\right)}{2}-\frac{a^2\,\mathrm{acoth}\left(a+b\,x\right)}{2}}{b}+a\,x\,\mathrm{acoth}\left(a+b\,x\right)+\frac{b\,x^2\,\mathrm{acoth}\left(a+b\,x\right)}{2}","Not used",1,"x/2 - (acoth(a + b*x)/2 - (a^2*acoth(a + b*x))/2)/b + a*x*acoth(a + b*x) + (b*x^2*acoth(a + b*x))/2","B"
97,1,114,54,1.542019,"\text{Not used}","int(acoth(a + b*x)*(a + b*x)^2,x)","\frac{a\,x}{3}+\ln\left(\frac{1}{a+b\,x}+1\right)\,\left(\frac{a^2\,x}{2}+\frac{a\,b\,x^2}{2}+\frac{b^2\,x^3}{6}\right)+\frac{b\,x^2}{6}-\ln\left(1-\frac{1}{a+b\,x}\right)\,\left(\frac{a^2\,x}{2}+\frac{a\,b\,x^2}{2}+\frac{b^2\,x^3}{6}\right)-\frac{\ln\left(a+b\,x-1\right)\,\left(a^3-1\right)}{6\,b}+\frac{\ln\left(a+b\,x+1\right)\,\left(a^3+1\right)}{6\,b}","Not used",1,"(a*x)/3 + log(1/(a + b*x) + 1)*((a^2*x)/2 + (b^2*x^3)/6 + (a*b*x^2)/2) + (b*x^2)/6 - log(1 - 1/(a + b*x))*((a^2*x)/2 + (b^2*x^3)/6 + (a*b*x^2)/2) - (log(a + b*x - 1)*(a^3 - 1))/(6*b) + (log(a + b*x + 1)*(a^3 + 1))/(6*b)","B"
98,0,-1,35,0.000000,"\text{Not used}","int(acoth(a + b*x)/(a + b*x),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{a+b\,x} \,d x","Not used",1,"int(acoth(a + b*x)/(a + b*x), x)","F"
99,1,93,48,1.406111,"\text{Not used}","int(acoth(a + b*x)/(a + b*x)^2,x)","\frac{\ln\left(a+b\,x\right)}{b}-\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)}{2\,b}-\frac{\ln\left(\frac{a+b\,x+1}{a+b\,x}\right)}{2\,\left(x\,b^2+a\,b\right)}+\frac{\ln\left(\frac{a+b\,x-1}{a+b\,x}\right)}{2\,x\,b^2+2\,a\,b}","Not used",1,"log(a + b*x)/b - log(a^2 + b^2*x^2 + 2*a*b*x - 1)/(2*b) - log((a + b*x + 1)/(a + b*x))/(2*(a*b + b^2*x)) + log((a + b*x - 1)/(a + b*x))/(2*a*b + 2*b^2*x)","B"
100,0,-1,25,0.000000,"\text{Not used}","int(acoth(x + 1)/(2*x + 2),x)","\int \frac{\mathrm{acoth}\left(x+1\right)}{2\,x+2} \,d x","Not used",1,"int(acoth(x + 1)/(2*x + 2), x)","F"
101,0,-1,35,0.000000,"\text{Not used}","int(acoth(a + b*x)/(d*x + (a*d)/b),x)","\int \frac{\mathrm{acoth}\left(a+b\,x\right)}{d\,x+\frac{a\,d}{b}} \,d x","Not used",1,"int(acoth(a + b*x)/(d*x + (a*d)/b), x)","F"
102,1,742,168,2.172571,"\text{Not used}","int((e + f*x)^3*(a + b*acoth(c + d*x)),x)","x\,\left(\frac{e\,\left(6\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+2\,a\,d^2\,e^2+3\,b\,d\,e\,f-6\,a\,f^2\right)}{2\,d^2}-\frac{\left(4\,c^2-4\right)\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{4\,d^2}+\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f+4\,b\,d\,e\,f^2-4\,a\,f^3}{4\,d^2}+\frac{a\,f^3\,\left(4\,c^2-4\right)}{4\,d^2}\right)}{d}\right)-\ln\left(1-\frac{1}{c+d\,x}\right)\,\left(\frac{b\,e^3\,x}{2}+\frac{3\,b\,e^2\,f\,x^2}{4}+\frac{b\,e\,f^2\,x^3}{2}+\frac{b\,f^3\,x^4}{8}\right)-x^2\,\left(\frac{c\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f+4\,b\,d\,e\,f^2-4\,a\,f^3}{8\,d^2}+\frac{a\,f^3\,\left(4\,c^2-4\right)}{8\,d^2}\right)+x^3\,\left(\frac{f^2\,\left(b\,f+8\,a\,c\,f+12\,a\,d\,e\right)}{12\,d}-\frac{2\,a\,c\,f^3}{3\,d}\right)+\ln\left(\frac{1}{c+d\,x}+1\right)\,\left(\frac{b\,e^3\,x}{2}+\frac{3\,b\,e^2\,f\,x^2}{4}+\frac{b\,e\,f^2\,x^3}{2}+\frac{b\,f^3\,x^4}{8}\right)+\frac{a\,f^3\,x^4}{4}+\frac{\ln\left(c+d\,x-1\right)\,\left(b\,c^4\,f^3-4\,b\,c^3\,d\,e\,f^2-4\,b\,c^3\,f^3+6\,b\,c^2\,d^2\,e^2\,f+12\,b\,c^2\,d\,e\,f^2+6\,b\,c^2\,f^3-4\,b\,c\,d^3\,e^3-12\,b\,c\,d^2\,e^2\,f-12\,b\,c\,d\,e\,f^2-4\,b\,c\,f^3+4\,b\,d^3\,e^3+6\,b\,d^2\,e^2\,f+4\,b\,d\,e\,f^2+b\,f^3\right)}{8\,d^4}-\frac{\ln\left(c+d\,x+1\right)\,\left(b\,c^4\,f^3-4\,b\,c^3\,d\,e\,f^2+4\,b\,c^3\,f^3+6\,b\,c^2\,d^2\,e^2\,f-12\,b\,c^2\,d\,e\,f^2+6\,b\,c^2\,f^3-4\,b\,c\,d^3\,e^3+12\,b\,c\,d^2\,e^2\,f-12\,b\,c\,d\,e\,f^2+4\,b\,c\,f^3-4\,b\,d^3\,e^3+6\,b\,d^2\,e^2\,f-4\,b\,d\,e\,f^2+b\,f^3\right)}{8\,d^4}","Not used",1,"x*((e*(6*a*c^2*f^2 - 6*a*f^2 + 2*a*d^2*e^2 + 3*b*d*e*f + 12*a*c*d*e*f))/(2*d^2) - ((4*c^2 - 4)*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/(4*d^2) + (2*c*((2*c*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*c^2*f^3 - 4*a*f^3 + 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(4*d^2) + (a*f^3*(4*c^2 - 4))/(4*d^2)))/d) - log(1 - 1/(c + d*x))*((b*f^3*x^4)/8 + (b*e^3*x)/2 + (3*b*e^2*f*x^2)/4 + (b*e*f^2*x^3)/2) - x^2*((c*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*c^2*f^3 - 4*a*f^3 + 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(8*d^2) + (a*f^3*(4*c^2 - 4))/(8*d^2)) + x^3*((f^2*(b*f + 8*a*c*f + 12*a*d*e))/(12*d) - (2*a*c*f^3)/(3*d)) + log(1/(c + d*x) + 1)*((b*f^3*x^4)/8 + (b*e^3*x)/2 + (3*b*e^2*f*x^2)/4 + (b*e*f^2*x^3)/2) + (a*f^3*x^4)/4 + (log(c + d*x - 1)*(b*f^3 + 6*b*c^2*f^3 - 4*b*c^3*f^3 + 4*b*d^3*e^3 + b*c^4*f^3 - 4*b*c*f^3 + 4*b*d*e*f^2 - 4*b*c*d^3*e^3 + 6*b*d^2*e^2*f - 12*b*c*d^2*e^2*f + 12*b*c^2*d*e*f^2 - 4*b*c^3*d*e*f^2 + 6*b*c^2*d^2*e^2*f - 12*b*c*d*e*f^2))/(8*d^4) - (log(c + d*x + 1)*(b*f^3 + 6*b*c^2*f^3 + 4*b*c^3*f^3 - 4*b*d^3*e^3 + b*c^4*f^3 + 4*b*c*f^3 - 4*b*d*e*f^2 - 4*b*c*d^3*e^3 + 6*b*d^2*e^2*f + 12*b*c*d^2*e^2*f - 12*b*c^2*d*e*f^2 - 4*b*c^3*d*e*f^2 + 6*b*c^2*d^2*e^2*f - 12*b*c*d*e*f^2))/(8*d^4)","B"
103,1,386,120,1.926350,"\text{Not used}","int((e + f*x)^2*(a + b*acoth(c + d*x)),x)","x^2\,\left(\frac{f\,\left(b\,f+6\,a\,c\,f+6\,a\,d\,e\right)}{6\,d}-\frac{a\,c\,f^2}{d}\right)-\ln\left(1-\frac{1}{c+d\,x}\right)\,\left(\frac{b\,e^2\,x}{2}+\frac{b\,e\,f\,x^2}{2}+\frac{b\,f^2\,x^3}{6}\right)-x\,\left(\frac{2\,c\,\left(\frac{f\,\left(b\,f+6\,a\,c\,f+6\,a\,d\,e\right)}{3\,d}-\frac{2\,a\,c\,f^2}{d}\right)}{d}-\frac{3\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+3\,a\,d^2\,e^2+3\,b\,d\,e\,f-3\,a\,f^2}{3\,d^2}+\frac{a\,f^2\,\left(3\,c^2-3\right)}{3\,d^2}\right)+\ln\left(\frac{1}{c+d\,x}+1\right)\,\left(\frac{b\,e^2\,x}{2}+\frac{b\,e\,f\,x^2}{2}+\frac{b\,f^2\,x^3}{6}\right)+\frac{a\,f^2\,x^3}{3}+\frac{\ln\left(c+d\,x-1\right)\,\left(\frac{b\,f^2}{6}+d\,\left(\frac{b\,e\,f\,c^2}{2}-b\,e\,f\,c+\frac{b\,e\,f}{2}\right)+d^2\,\left(\frac{b\,e^2}{2}-\frac{b\,c\,e^2}{2}\right)+\frac{b\,c^2\,f^2}{2}-\frac{b\,c^3\,f^2}{6}-\frac{b\,c\,f^2}{2}\right)}{d^3}+\frac{\ln\left(c+d\,x+1\right)\,\left(\frac{b\,f^2}{6}-d\,\left(\frac{b\,e\,f\,c^2}{2}+b\,e\,f\,c+\frac{b\,e\,f}{2}\right)+d^2\,\left(\frac{b\,e^2}{2}+\frac{b\,c\,e^2}{2}\right)+\frac{b\,c^2\,f^2}{2}+\frac{b\,c^3\,f^2}{6}+\frac{b\,c\,f^2}{2}\right)}{d^3}","Not used",1,"x^2*((f*(b*f + 6*a*c*f + 6*a*d*e))/(6*d) - (a*c*f^2)/d) - log(1 - 1/(c + d*x))*((b*f^2*x^3)/6 + (b*e^2*x)/2 + (b*e*f*x^2)/2) - x*((2*c*((f*(b*f + 6*a*c*f + 6*a*d*e))/(3*d) - (2*a*c*f^2)/d))/d - (3*a*c^2*f^2 - 3*a*f^2 + 3*a*d^2*e^2 + 3*b*d*e*f + 12*a*c*d*e*f)/(3*d^2) + (a*f^2*(3*c^2 - 3))/(3*d^2)) + log(1/(c + d*x) + 1)*((b*f^2*x^3)/6 + (b*e^2*x)/2 + (b*e*f*x^2)/2) + (a*f^2*x^3)/3 + (log(c + d*x - 1)*((b*f^2)/6 + d*((b*e*f)/2 + (b*c^2*e*f)/2 - b*c*e*f) + d^2*((b*e^2)/2 - (b*c*e^2)/2) + (b*c^2*f^2)/2 - (b*c^3*f^2)/6 - (b*c*f^2)/2))/d^3 + (log(c + d*x + 1)*((b*f^2)/6 - d*((b*e*f)/2 + (b*c^2*e*f)/2 + b*c*e*f) + d^2*((b*e^2)/2 + (b*c*e^2)/2) + (b*c^2*f^2)/2 + (b*c^3*f^2)/6 + (b*c*f^2)/2))/d^3","B"
104,1,136,97,2.403963,"\text{Not used}","int((e + f*x)*(a + b*acoth(c + d*x)),x)","a\,e\,x+\frac{a\,f\,x^2}{2}+\frac{b\,e\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2\,d}-\frac{b\,f\,\mathrm{acoth}\left(c+d\,x\right)}{2\,d^2}+\frac{b\,f\,x^2\,\mathrm{acoth}\left(c+d\,x\right)}{2}+\frac{b\,f\,x}{2\,d}+b\,e\,x\,\mathrm{acoth}\left(c+d\,x\right)-\frac{b\,c^2\,f\,\mathrm{acoth}\left(c+d\,x\right)}{2\,d^2}-\frac{b\,c\,f\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2\,d^2}+\frac{b\,c\,e\,\mathrm{acoth}\left(c+d\,x\right)}{d}","Not used",1,"a*e*x + (a*f*x^2)/2 + (b*e*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/(2*d) - (b*f*acoth(c + d*x))/(2*d^2) + (b*f*x^2*acoth(c + d*x))/2 + (b*f*x)/(2*d) + b*e*x*acoth(c + d*x) - (b*c^2*f*acoth(c + d*x))/(2*d^2) - (b*c*f*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/(2*d^2) + (b*c*e*acoth(c + d*x))/d","B"
105,1,48,40,1.753732,"\text{Not used}","int(a + b*acoth(c + d*x),x)","a\,x+\frac{\frac{b\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2-1\right)}{2}+b\,c\,\mathrm{acoth}\left(c+d\,x\right)}{d}+b\,x\,\mathrm{acoth}\left(c+d\,x\right)","Not used",1,"a*x + ((b*log(c^2 + d^2*x^2 + 2*c*d*x - 1))/2 + b*c*acoth(c + d*x))/d + b*x*acoth(c + d*x)","B"
106,0,-1,130,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))/(e + f*x),x)","\int \frac{a+b\,\mathrm{acoth}\left(c+d\,x\right)}{e+f\,x} \,d x","Not used",1,"int((a + b*acoth(c + d*x))/(e + f*x), x)","F"
107,1,175,115,2.080289,"\text{Not used}","int((a + b*acoth(c + d*x))/(e + f*x)^2,x)","\ln\left(e+f\,x\right)\,\left(\frac{b\,\left(c-1\right)}{2\,e\,\left(d\,e-f\,\left(c-1\right)\right)}-\frac{b\,\left(c+1\right)}{2\,e\,\left(d\,e-f\,\left(c+1\right)\right)}\right)-\frac{a}{x\,f^2+e\,f}-\frac{b\,\ln\left(\frac{1}{c+d\,x}+1\right)}{2\,f\,\left(e+f\,x\right)}-\frac{b\,d\,\ln\left(c+d\,x-1\right)}{2\,f^2-2\,c\,f^2+2\,d\,e\,f}-\frac{b\,d\,\ln\left(c+d\,x+1\right)}{2\,c\,f^2+2\,f^2-2\,d\,e\,f}+\frac{b\,\ln\left(1-\frac{1}{c+d\,x}\right)}{f\,\left(2\,e+2\,f\,x\right)}","Not used",1,"log(e + f*x)*((b*(c - 1))/(2*e*(d*e - f*(c - 1))) - (b*(c + 1))/(2*e*(d*e - f*(c + 1)))) - a/(e*f + f^2*x) - (b*log(1/(c + d*x) + 1))/(2*f*(e + f*x)) - (b*d*log(c + d*x - 1))/(2*f^2 - 2*c*f^2 + 2*d*e*f) - (b*d*log(c + d*x + 1))/(2*c*f^2 + 2*f^2 - 2*d*e*f) + (b*log(1 - 1/(c + d*x)))/(f*(2*e + 2*f*x))","B"
108,1,422,167,3.296245,"\text{Not used}","int((a + b*acoth(c + d*x))/(e + f*x)^3,x)","\frac{b\,\ln\left(1-\frac{1}{c+d\,x}\right)}{2\,f\,\left(2\,e^2+4\,e\,f\,x+2\,f^2\,x^2\right)}-\frac{\ln\left(e+f\,x\right)\,\left(b\,d^3\,e-b\,c\,d^2\,f\right)}{c^4\,f^4-4\,c^3\,d\,e\,f^3+6\,c^2\,d^2\,e^2\,f^2-2\,c^2\,f^4-4\,c\,d^3\,e^3\,f+4\,c\,d\,e\,f^3+d^4\,e^4-2\,d^2\,e^2\,f^2+f^4}-\frac{\frac{-a\,c^2\,f^2+2\,a\,c\,d\,e\,f-a\,d^2\,e^2+b\,d\,e\,f+a\,f^2}{-c^2\,f^2+2\,c\,d\,e\,f-d^2\,e^2+f^2}+\frac{b\,d\,f^2\,x}{-c^2\,f^2+2\,c\,d\,e\,f-d^2\,e^2+f^2}}{2\,e^2\,f+4\,e\,f^2\,x+2\,f^3\,x^2}-\frac{b\,d^2\,\ln\left(c+d\,x-1\right)}{4\,c^2\,f^3-8\,c\,d\,e\,f^2-8\,c\,f^3+4\,d^2\,e^2\,f+8\,d\,e\,f^2+4\,f^3}+\frac{b\,d^2\,\ln\left(c+d\,x+1\right)}{4\,c^2\,f^3-8\,c\,d\,e\,f^2+8\,c\,f^3+4\,d^2\,e^2\,f-8\,d\,e\,f^2+4\,f^3}-\frac{b\,\ln\left(\frac{1}{c+d\,x}+1\right)}{4\,f\,\left(e^2+2\,e\,f\,x+f^2\,x^2\right)}","Not used",1,"(b*log(1 - 1/(c + d*x)))/(2*f*(2*e^2 + 2*f^2*x^2 + 4*e*f*x)) - (log(e + f*x)*(b*d^3*e - b*c*d^2*f))/(f^4 - 2*c^2*f^4 + c^4*f^4 + d^4*e^4 - 2*d^2*e^2*f^2 + 4*c*d*e*f^3 + 6*c^2*d^2*e^2*f^2 - 4*c*d^3*e^3*f - 4*c^3*d*e*f^3) - ((a*f^2 - a*c^2*f^2 - a*d^2*e^2 + b*d*e*f + 2*a*c*d*e*f)/(f^2 - c^2*f^2 - d^2*e^2 + 2*c*d*e*f) + (b*d*f^2*x)/(f^2 - c^2*f^2 - d^2*e^2 + 2*c*d*e*f))/(2*e^2*f + 2*f^3*x^2 + 4*e*f^2*x) - (b*d^2*log(c + d*x - 1))/(4*f^3 - 8*c*f^3 + 4*c^2*f^3 + 4*d^2*e^2*f + 8*d*e*f^2 - 8*c*d*e*f^2) + (b*d^2*log(c + d*x + 1))/(8*c*f^3 + 4*f^3 + 4*c^2*f^3 + 4*d^2*e^2*f - 8*d*e*f^2 - 8*c*d*e*f^2) - (b*log(1/(c + d*x) + 1))/(4*f*(e^2 + f^2*x^2 + 2*e*f*x))","B"
109,0,-1,374,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*acoth(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)^2*(a + b*acoth(c + d*x))^2, x)","F"
110,0,-1,221,0.000000,"\text{Not used}","int((e + f*x)*(a + b*acoth(c + d*x))^2,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)*(a + b*acoth(c + d*x))^2, x)","F"
111,0,-1,97,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^2,x)","\int {\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*acoth(c + d*x))^2, x)","F"
112,0,-1,214,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^2/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2}{e+f\,x} \,d x","Not used",1,"int((a + b*acoth(c + d*x))^2/(e + f*x), x)","F"
113,0,-1,480,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^2/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*acoth(c + d*x))^2/(e + f*x)^2, x)","F"
114,0,-1,546,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*acoth(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)^2*(a + b*acoth(c + d*x))^3, x)","F"
115,0,-1,326,0.000000,"\text{Not used}","int((e + f*x)*(a + b*acoth(c + d*x))^3,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)*(a + b*acoth(c + d*x))^3, x)","F"
116,0,-1,132,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^3,x)","\int {\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*acoth(c + d*x))^3, x)","F"
117,0,-1,308,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^3/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3}{e+f\,x} \,d x","Not used",1,"int((a + b*acoth(c + d*x))^3/(e + f*x), x)","F"
118,0,-1,1089,0.000000,"\text{Not used}","int((a + b*acoth(c + d*x))^3/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*acoth(c + d*x))^3/(e + f*x)^2, x)","F"
119,0,-1,162,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*acoth(c + d*x)),x)","\int {\left(e+f\,x\right)}^m\,\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((e + f*x)^m*(a + b*acoth(c + d*x)), x)","F"
120,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*acoth(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^2 \,d x","Not used",0,"int((e + f*x)^m*(a + b*acoth(c + d*x))^2, x)","F"
121,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*acoth(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{acoth}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((e + f*x)^m*(a + b*acoth(c + d*x))^3, x)","F"
122,0,-1,43,0.000000,"\text{Not used}","int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1),x)","-\int \frac{{\left(a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^n}{c^2\,x^2-1} \,d x","Not used",0,"-int((a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1), x)","F"
123,0,-1,460,0.000000,"\text{Not used}","int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^3}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1), x)","F"
124,0,-1,302,0.000000,"\text{Not used}","int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1), x)","F"
125,0,-1,89,0.000000,"\text{Not used}","int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1),x)","\int -\frac{a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1), x)","F"
126,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)),x)","-\int \frac{1}{\left(a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)), x)","F"
127,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)),x)","-\int \frac{1}{{\left(a+b\,\mathrm{acoth}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*acoth((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)), x)","F"
128,1,96,37,1.609588,"\text{Not used}","int(x^m*acoth(tanh(a + b*x)),x)","\frac{2\,b\,x^m\,x^2\,\left(m+1\right)}{2\,m^2+6\,m+4}-\frac{x\,x^m\,\left(m+2\right)\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,m^2+6\,m+4}","Not used",1,"(2*b*x^m*x^2*(m + 1))/(6*m + 2*m^2 + 4) - (x*x^m*(m + 2)*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(6*m + 2*m^2 + 4)","B"
129,1,19,23,0.090133,"\text{Not used}","int(x^2*acoth(tanh(a + b*x)),x)","\frac{x^3\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{3}-\frac{b\,x^4}{12}","Not used",1,"(x^3*acoth(tanh(a + b*x)))/3 - (b*x^4)/12","B"
130,1,19,23,1.126711,"\text{Not used}","int(x*acoth(tanh(a + b*x)),x)","\frac{x^2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{2}-\frac{b\,x^3}{6}","Not used",1,"(x^2*acoth(tanh(a + b*x)))/2 - (b*x^3)/6","B"
131,1,16,16,1.120688,"\text{Not used}","int(acoth(tanh(a + b*x)),x)","x\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)-\frac{b\,x^2}{2}","Not used",1,"x*acoth(tanh(a + b*x)) - (b*x^2)/2","B"
132,1,59,21,0.180273,"\text{Not used}","int(acoth(tanh(a + b*x))/x,x)","b\,x-\ln\left(x\right)\,\left(\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}+b\,x\right)","Not used",1,"b*x - log(x)*(log(-2/(exp(2*a)*exp(2*b*x) - 1))/2 - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 + b*x)","B"
133,1,17,17,0.086297,"\text{Not used}","int(acoth(tanh(a + b*x))/x^2,x)","b\,\ln\left(x\right)-\frac{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{x}","Not used",1,"b*log(x) - acoth(tanh(a + b*x))/x","B"
134,1,16,23,1.135498,"\text{Not used}","int(acoth(tanh(a + b*x))/x^3,x)","-\frac{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+b\,x}{2\,x^2}","Not used",1,"-(acoth(tanh(a + b*x)) + b*x)/(2*x^2)","B"
135,1,19,23,1.123377,"\text{Not used}","int(acoth(tanh(a + b*x))/x^4,x)","-\frac{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{3\,x^3}-\frac{b}{6\,x^2}","Not used",1,"- acoth(tanh(a + b*x))/(3*x^3) - b/(6*x^2)","B"
136,1,203,71,1.324916,"\text{Not used}","int(x^m*acoth(tanh(a + b*x))^2,x)","\frac{4\,b^2\,x^m\,x^3\,\left(m^2+3\,m+2\right)}{4\,m^3+24\,m^2+44\,m+24}+\frac{x\,x^m\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2\,\left(m^2+5\,m+6\right)}{4\,m^3+24\,m^2+44\,m+24}-\frac{4\,b\,x^m\,x^2\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left(m^2+4\,m+3\right)}{4\,m^3+24\,m^2+44\,m+24}","Not used",1,"(4*b^2*x^m*x^3*(3*m + m^2 + 2))/(44*m + 24*m^2 + 4*m^3 + 24) + (x*x^m*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2*(5*m + m^2 + 6))/(44*m + 24*m^2 + 4*m^3 + 24) - (4*b*x^m*x^2*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*(4*m + m^2 + 3))/(44*m + 24*m^2 + 4*m^3 + 24)","B"
137,1,36,42,1.175079,"\text{Not used}","int(x^3*acoth(tanh(a + b*x))^2,x)","\frac{b^2\,x^6}{60}-\frac{b\,x^5\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{10}+\frac{x^4\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{4}","Not used",1,"(x^4*acoth(tanh(a + b*x))^2)/4 + (b^2*x^6)/60 - (b*x^5*acoth(tanh(a + b*x)))/10","B"
138,1,36,42,1.181788,"\text{Not used}","int(x^2*acoth(tanh(a + b*x))^2,x)","\frac{b^2\,x^5}{30}-\frac{b\,x^4\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{6}+\frac{x^3\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{3}","Not used",1,"(x^3*acoth(tanh(a + b*x))^2)/3 + (b^2*x^5)/30 - (b*x^4*acoth(tanh(a + b*x)))/6","B"
139,1,36,34,1.154219,"\text{Not used}","int(x*acoth(tanh(a + b*x))^2,x)","\frac{b^2\,x^4}{12}-\frac{b\,x^3\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{3}+\frac{x^2\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{2}","Not used",1,"(x^2*acoth(tanh(a + b*x))^2)/2 + (b^2*x^4)/12 - (b*x^3*acoth(tanh(a + b*x)))/3","B"
140,1,33,16,1.120765,"\text{Not used}","int(acoth(tanh(a + b*x))^2,x)","\frac{b^2\,x^3}{3}-b\,x^2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+x\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2","Not used",1,"x*acoth(tanh(a + b*x))^2 + (b^2*x^3)/3 - b*x^2*acoth(tanh(a + b*x))","B"
141,1,183,49,0.291585,"\text{Not used}","int(acoth(tanh(a + b*x))^2/x,x)","\ln\left(x\right)\,\left(\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4}-a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+a^2\right)+\frac{b^2\,x^2}{2}-b\,x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)","Not used",1,"log(x)*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2/4 - a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + a^2) + (b^2*x^2)/2 - b*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)","B"
142,1,207,39,1.246800,"\text{Not used}","int(acoth(tanh(a + b*x))^2/x^2,x)","b\,\ln\left(\frac{{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\frac{{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2}{4\,x}-b\,\ln\left(\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\frac{{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2}{4\,x}+b\,\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(x\right)-b\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(x\right)+\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2\,x}-2\,b^2\,x\,\ln\left(x\right)","Not used",1,"b*log(exp(2*b*x)/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2/(4*x) - b*log(1/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1))^2/(4*x) + b*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(x) - b*log(-2/(exp(2*a)*exp(2*b*x) - 1))*log(x) + (log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(-2/(exp(2*a)*exp(2*b*x) - 1)))/(2*x) - 2*b^2*x*log(x)","B"
143,1,34,36,1.157708,"\text{Not used}","int(acoth(tanh(a + b*x))^2/x^3,x)","b^2\,\ln\left(x\right)-\frac{\frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{2}+b\,x\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{x^2}","Not used",1,"b^2*log(x) - (acoth(tanh(a + b*x))^2/2 + b*x*acoth(tanh(a + b*x)))/x^2","B"
144,1,32,31,1.118762,"\text{Not used}","int(acoth(tanh(a + b*x))^2/x^4,x)","-\frac{b^2\,x^2+b\,x\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{3\,x^3}","Not used",1,"-(acoth(tanh(a + b*x))^2 + b^2*x^2 + b*x*acoth(tanh(a + b*x)))/(3*x^3)","B"
145,1,36,64,1.169279,"\text{Not used}","int(acoth(tanh(a + b*x))^2/x^5,x)","-\frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{4\,x^4}-\frac{b^2}{12\,x^2}-\frac{b\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{6\,x^3}","Not used",1,"- acoth(tanh(a + b*x))^2/(4*x^4) - b^2/(12*x^2) - (b*acoth(tanh(a + b*x)))/(6*x^3)","B"
146,1,332,110,1.451593,"\text{Not used}","int(x^m*acoth(tanh(a + b*x))^3,x)","\frac{8\,b^3\,x^m\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{8\,m^4+80\,m^3+280\,m^2+400\,m+192}-\frac{x\,x^m\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3\,\left(m^3+9\,m^2+26\,m+24\right)}{8\,m^4+80\,m^3+280\,m^2+400\,m+192}-\frac{12\,b^2\,x^m\,x^3\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left(m^3+7\,m^2+14\,m+8\right)}{8\,m^4+80\,m^3+280\,m^2+400\,m+192}+\frac{6\,b\,x^m\,x^2\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2\,\left(m^3+8\,m^2+19\,m+12\right)}{8\,m^4+80\,m^3+280\,m^2+400\,m+192}","Not used",1,"(8*b^3*x^m*x^4*(11*m + 6*m^2 + m^3 + 6))/(400*m + 280*m^2 + 80*m^3 + 8*m^4 + 192) - (x*x^m*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3*(26*m + 9*m^2 + m^3 + 24))/(400*m + 280*m^2 + 80*m^3 + 8*m^4 + 192) - (12*b^2*x^m*x^3*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*(14*m + 7*m^2 + m^3 + 8))/(400*m + 280*m^2 + 80*m^3 + 8*m^4 + 192) + (6*b*x^m*x^2*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2*(19*m + 8*m^2 + m^3 + 12))/(400*m + 280*m^2 + 80*m^3 + 8*m^4 + 192)","B"
147,1,53,61,1.250734,"\text{Not used}","int(x^4*acoth(tanh(a + b*x))^3,x)","-\frac{b^3\,x^8}{280}+\frac{b^2\,x^7\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{35}-\frac{b\,x^6\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{10}+\frac{x^5\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{5}","Not used",1,"(x^5*acoth(tanh(a + b*x))^3)/5 - (b^3*x^8)/280 - (b*x^6*acoth(tanh(a + b*x))^2)/10 + (b^2*x^7*acoth(tanh(a + b*x)))/35","B"
148,1,53,61,1.231641,"\text{Not used}","int(x^3*acoth(tanh(a + b*x))^3,x)","-\frac{b^3\,x^7}{140}+\frac{b^2\,x^6\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{20}-\frac{3\,b\,x^5\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{20}+\frac{x^4\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{4}","Not used",1,"(x^4*acoth(tanh(a + b*x))^3)/4 - (b^3*x^7)/140 - (3*b*x^5*acoth(tanh(a + b*x))^2)/20 + (b^2*x^6*acoth(tanh(a + b*x)))/20","B"
149,1,53,53,1.207317,"\text{Not used}","int(x^2*acoth(tanh(a + b*x))^3,x)","-\frac{b^3\,x^6}{60}+\frac{b^2\,x^5\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{10}-\frac{b\,x^4\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{4}+\frac{x^3\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{3}","Not used",1,"(x^3*acoth(tanh(a + b*x))^3)/3 - (b^3*x^6)/60 - (b*x^4*acoth(tanh(a + b*x))^2)/4 + (b^2*x^5*acoth(tanh(a + b*x)))/10","B"
150,1,53,34,0.117421,"\text{Not used}","int(x*acoth(tanh(a + b*x))^3,x)","-\frac{b^3\,x^5}{20}+\frac{b^2\,x^4\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{4}-\frac{b\,x^3\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{2}+\frac{x^2\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{2}","Not used",1,"(x^2*acoth(tanh(a + b*x))^3)/2 - (b^3*x^5)/20 - (b*x^3*acoth(tanh(a + b*x))^2)/2 + (b^2*x^4*acoth(tanh(a + b*x)))/4","B"
151,1,47,16,1.180547,"\text{Not used}","int(acoth(tanh(a + b*x))^3,x)","\frac{x\,\left(2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)-b\,x\right)\,\left(b^2\,x^2-2\,b\,x\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+2\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2\right)}{4}","Not used",1,"(x*(2*acoth(tanh(a + b*x)) - b*x)*(2*acoth(tanh(a + b*x))^2 + b^2*x^2 - 2*b*x*acoth(tanh(a + b*x))))/4","B"
152,1,306,77,0.144417,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x,x)","\frac{b^3\,x^3}{3}-\ln\left(x\right)\,\left(\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}{8}-a^3-\frac{3\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4}+\frac{3\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2}\right)-\frac{3\,b^2\,x^2\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{4}+\frac{3\,b\,x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4}","Not used",1,"(b^3*x^3)/3 - log(x)*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3/8 - a^3 - (3*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/4 + (3*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/2) - (3*b^2*x^2*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/4 + (3*b*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/4","B"
153,1,372,68,1.203268,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x^2,x)","\ln\left(x\right)\,\left(3\,a^2\,b+\frac{3\,b\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4}-3\,a\,b\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{8\,x}+\frac{b^3\,x^2}{2}-\frac{3\,b^2\,x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2}","Not used",1,"log(x)*(3*a^2*b + (3*b*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/4 - 3*a*b*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(8*x) + (b^3*x^2)/2 - (3*b^2*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/2","B"
154,1,383,60,1.325203,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x^3,x)","\frac{{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^3}{16\,x^2}-\frac{{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^3}{16\,x^2}+\frac{9\,b^2\,\ln\left(\frac{{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{4}-\frac{9\,b^2\,\ln\left(\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{4}-\frac{3\,b^3\,x}{2}-\frac{3\,b\,{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2}{8\,x}+\frac{3\,b^2\,\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(x\right)}{2}-3\,b^3\,x\,\ln\left(x\right)-\frac{3\,b\,{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2}{8\,x}-\frac{3\,b^2\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(x\right)}{2}-\frac{3\,\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2}{16\,x^2}+\frac{3\,{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{16\,x^2}+\frac{3\,b\,\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{4\,x}","Not used",1,"log(-2/(exp(2*a)*exp(2*b*x) - 1))^3/(16*x^2) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^3/(16*x^2) + (9*b^2*log(exp(2*b*x)/(exp(2*a)*exp(2*b*x) - 1)))/4 - (9*b^2*log(1/(exp(2*a)*exp(2*b*x) - 1)))/4 - (3*b^3*x)/2 - (3*b*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2)/(8*x) + (3*b^2*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(x))/2 - 3*b^3*x*log(x) - (3*b*log(-2/(exp(2*a)*exp(2*b*x) - 1))^2)/(8*x) - (3*b^2*log(-2/(exp(2*a)*exp(2*b*x) - 1))*log(x))/2 - (3*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(-2/(exp(2*a)*exp(2*b*x) - 1))^2)/(16*x^2) + (3*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2*log(-2/(exp(2*a)*exp(2*b*x) - 1)))/(16*x^2) + (3*b*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(-2/(exp(2*a)*exp(2*b*x) - 1)))/(4*x)","B"
155,1,51,55,1.180456,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x^4,x)","b^3\,\ln\left(x\right)-\frac{b^2\,x^2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+\frac{b\,x\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{2}+\frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{3}}{x^3}","Not used",1,"b^3*log(x) - (acoth(tanh(a + b*x))^3/3 + (b*x*acoth(tanh(a + b*x))^2)/2 + b^2*x^2*acoth(tanh(a + b*x)))/x^3","B"
156,1,48,31,1.193141,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x^5,x)","-\frac{b^3\,x^3+b^2\,x^2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+b\,x\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2+{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{4\,x^4}","Not used",1,"-(acoth(tanh(a + b*x))^3 + b^3*x^3 + b*x*acoth(tanh(a + b*x))^2 + b^2*x^2*acoth(tanh(a + b*x)))/(4*x^4)","B"
157,1,53,64,0.118479,"\text{Not used}","int(acoth(tanh(a + b*x))^3/x^6,x)","-\frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3}{5\,x^5}-\frac{b^3}{20\,x^2}-\frac{b^2\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{10\,x^3}-\frac{3\,b\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}{20\,x^4}","Not used",1,"- acoth(tanh(a + b*x))^3/(5*x^5) - b^3/(20*x^2) - (b^2*acoth(tanh(a + b*x)))/(10*x^3) - (3*b*acoth(tanh(a + b*x))^2)/(20*x^4)","B"
158,0,-1,53,0.000000,"\text{Not used}","int(x^m/acoth(tanh(a + b*x)),x)","\int \frac{x^m}{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)} \,d x","Not used",1,"int(x^m/acoth(tanh(a + b*x)), x)","F"
159,1,354,81,0.129216,"\text{Not used}","int(x^3/acoth(tanh(a + b*x)),x)","\frac{x^3}{3\,b}+\frac{x^2\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{4\,b^2}+\frac{x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4\,b^3}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}{8\,b^4}","Not used",1,"x^3/(3*b) + (x^2*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(4*b^2) + (x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/(4*b^3) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)))/(8*b^4)","B"
160,1,234,56,1.327964,"\text{Not used}","int(x^2/acoth(tanh(a + b*x)),x)","\frac{x^2}{2\,b}+\frac{x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b^2}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}{4\,b^3}","Not used",1,"x^2/(2*b) + (x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b^2) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2))/(4*b^3)","B"
161,1,108,31,0.144384,"\text{Not used}","int(x/acoth(tanh(a + b*x)),x)","\frac{x}{b}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b^2}","Not used",1,"x/b + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b^2)","B"
162,1,12,12,1.177522,"\text{Not used}","int(1/acoth(tanh(a + b*x)),x)","\frac{\ln\left(\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\right)}{b}","Not used",1,"log(acoth(tanh(a + b*x)))/b","B"
163,1,113,44,2.905659,"\text{Not used}","int(1/(x*acoth(tanh(a + b*x))),x)","-\frac{4\,\mathrm{atanh}\left(\frac{4\,b\,x}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}-1\right)}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}","Not used",1,"-(4*atanh((4*b*x)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) - 1))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)","B"
164,1,220,65,3.119427,"\text{Not used}","int(1/(x^2*acoth(tanh(a + b*x))),x)","\frac{2\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-2\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+4\,b\,x+b\,x\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,8{}\mathrm{i}}{x\,{\left(\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}","Not used",1,"(2*log(-1/(exp(2*a)*exp(2*b*x) - 1)) - 2*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 4*b*x + b*x*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*8i)/(x*(log(-1/(exp(2*a)*exp(2*b*x) - 1)) - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)","B"
165,1,300,92,3.595213,"\text{Not used}","int(1/(x^3*acoth(tanh(a + b*x))),x)","\frac{{\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\left(2\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+8\,b\,x\right)+{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2+12\,b^2\,x^2+8\,b\,x\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+b^2\,x^2\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,16{}\mathrm{i}}{x^2\,{\left(\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}","Not used",1,"(log(-1/(exp(2*a)*exp(2*b*x) - 1))^2 - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*(2*log(-1/(exp(2*a)*exp(2*b*x) - 1)) + 8*b*x) + log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2 + 12*b^2*x^2 + b^2*x^2*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*16i + 8*b*x*log(-1/(exp(2*a)*exp(2*b*x) - 1)))/(x^2*(log(-1/(exp(2*a)*exp(2*b*x) - 1)) - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3)","B"
166,0,-1,65,0.000000,"\text{Not used}","int(x^m/acoth(tanh(a + b*x))^2,x)","\int \frac{x^m}{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2} \,d x","Not used",1,"int(x^m/acoth(tanh(a + b*x))^2, x)","F"
167,1,669,98,1.285676,"\text{Not used}","int(x^4/acoth(tanh(a + b*x))^2,x)","\frac{x^3}{3\,b^2}-\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4+24\,a^2\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+16\,a^4-8\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-32\,a^3\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b\,\left(8\,a\,b^4+8\,b^5\,x-4\,b^4\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}+\frac{x^2\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b^3}+\frac{3\,x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4\,b^4}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}{2\,b^5}","Not used",1,"x^3/(3*b^2) - ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4 + 24*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 16*a^4 - 8*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 32*a^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b*(8*a*b^4 + 8*b^5*x - 4*b^4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))) + (x^2*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b^3) + (3*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/(4*b^4) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)))/(2*b^5)","B"
168,1,490,75,0.171017,"\text{Not used}","int(x^3/acoth(tanh(a + b*x))^2,x)","\frac{x^2}{2\,b^2}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left(3\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-12\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+12\,a^2\right)}{4\,b^4}-\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{4\,b\,\left(2\,a\,b^3+2\,b^4\,x-b^3\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}+\frac{x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{b^3}","Not used",1,"x^2/(2*b^2) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*(3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 12*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 12*a^2))/(4*b^4) - ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(4*b*(2*a*b^3 + 2*b^4*x - b^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))) + (x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/b^3","B"
169,1,302,50,1.292773,"\text{Not used}","int(x^2/acoth(tanh(a + b*x))^2,x)","\frac{x}{b^2}-\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2}{2\,b\,\left(2\,a\,b^2+2\,b^3\,x-b^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{b^3}","Not used",1,"x/b^2 - ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2)/(2*b*(2*a*b^2 + 2*b^3*x - b^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/b^3","B"
170,1,28,28,0.087621,"\text{Not used}","int(x/acoth(tanh(a + b*x))^2,x)","\frac{\ln\left(\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\right)}{b^2}-\frac{x}{b\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}","Not used",1,"log(acoth(tanh(a + b*x)))/b^2 - x/(b*acoth(tanh(a + b*x)))","B"
171,1,14,14,1.136136,"\text{Not used}","int(1/acoth(tanh(a + b*x))^2,x)","-\frac{1}{b\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}","Not used",1,"-1/(b*acoth(tanh(a + b*x)))","B"
172,1,421,70,4.025490,"\text{Not used}","int(1/(x*acoth(tanh(a + b*x))^2),x)","-\frac{4\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-4\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+8\,b\,x+\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,8{}\mathrm{i}-\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,\left(\ln\left(2\right)+\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,8{}\mathrm{i}}{\left(\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,{\left(\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}","Not used",1,"-(4*log(-1/(exp(2*a)*exp(2*b*x) - 1)) - 4*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 8*b*x + log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*8i - atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*(log(2) + log(-1/(exp(2*a)*exp(2*b*x) - 1)))*8i)/((log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-1/(exp(2*a)*exp(2*b*x) - 1)))*(log(-1/(exp(2*a)*exp(2*b*x) - 1)) - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)","B"
173,1,453,102,3.799397,"\text{Not used}","int(1/(x^2*acoth(tanh(a + b*x))^2),x)","\frac{4\,{\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\left(8\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+b\,x\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,32{}\mathrm{i}\right)+4\,{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2-16\,b^2\,x^2+b\,x\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,32{}\mathrm{i}}{x\,\left(\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,{\left(\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}","Not used",1,"(4*log(-1/(exp(2*a)*exp(2*b*x) - 1))^2 - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*(8*log(-1/(exp(2*a)*exp(2*b*x) - 1)) + b*x*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*32i) + 4*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2 - 16*b^2*x^2 + b*x*log(-1/(exp(2*a)*exp(2*b*x) - 1))*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*32i)/(x*(log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-1/(exp(2*a)*exp(2*b*x) - 1)))*(log(-1/(exp(2*a)*exp(2*b*x) - 1)) - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3)","B"
174,1,689,143,4.904721,"\text{Not used}","int(1/(x^3*acoth(tanh(a + b*x))^2),x)","\frac{2\,{\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^3-2\,{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^3-6\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,{\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2+6\,{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-32\,b^3\,x^3+24\,b\,x\,{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2+24\,b\,x\,{\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}^2-24\,b^2\,x^2\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+24\,b^2\,x^2\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-b^2\,x^2\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,96{}\mathrm{i}-48\,b\,x\,\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+b^2\,x^2\,\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,\mathrm{atan}\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}\right)\,96{}\mathrm{i}}{x^2\,\left(\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,{\left(\ln\left(-\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4}","Not used",1,"(2*log(-1/(exp(2*a)*exp(2*b*x) - 1))^3 - 2*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^3 - 6*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(-1/(exp(2*a)*exp(2*b*x) - 1))^2 + 6*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2*log(-1/(exp(2*a)*exp(2*b*x) - 1)) - 32*b^3*x^3 + 24*b*x*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))^2 + 24*b*x*log(-1/(exp(2*a)*exp(2*b*x) - 1))^2 - 24*b^2*x^2*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 24*b^2*x^2*log(-1/(exp(2*a)*exp(2*b*x) - 1)) - b^2*x^2*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*96i - 48*b*x*log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*log(-1/(exp(2*a)*exp(2*b*x) - 1)) + b^2*x^2*log(-1/(exp(2*a)*exp(2*b*x) - 1))*atan((log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))*1i - log(-2/(exp(2*a)*exp(2*b*x) - 1))*1i + b*x*2i)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))*96i)/(x^2*(log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-1/(exp(2*a)*exp(2*b*x) - 1)))*(log(-1/(exp(2*a)*exp(2*b*x) - 1)) - log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4)","B"
175,0,-1,94,0.000000,"\text{Not used}","int(x^m/acoth(tanh(a + b*x))^3,x)","\int \frac{x^m}{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^3} \,d x","Not used",1,"int(x^m/acoth(tanh(a + b*x))^3, x)","F"
176,1,867,92,1.378459,"\text{Not used}","int(x^4/acoth(tanh(a + b*x))^3,x)","\frac{\frac{7\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4+24\,a^2\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+16\,a^4-8\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-32\,a^3\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}{4\,b}-x\,\left(4\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-32\,a^3-24\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+48\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}{2\,b^4\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+x\,\left(16\,a\,b^5-8\,b^5\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+8\,a^2\,b^4+8\,b^6\,x^2-8\,a\,b^4\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}+\frac{x^2}{2\,b^3}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left(3\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-12\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+12\,a^2\right)}{2\,b^5}+\frac{3\,x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b^4}","Not used",1,"((7*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4 + 24*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 16*a^4 - 8*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 32*a^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)))/(4*b) - x*(4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 32*a^3 - 24*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 48*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)))/(2*b^4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + x*(16*a*b^5 - 8*b^5*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + 8*a^2*b^4 + 8*b^6*x^2 - 8*a*b^4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + x^2/(2*b^3) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*(3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 12*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 12*a^2))/(2*b^5) + (3*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b^4)","B"
177,1,620,71,1.431895,"\text{Not used}","int(x^3/acoth(tanh(a + b*x))^3,x)","\frac{x}{b^3}-\frac{x\,\left(3\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-12\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+12\,a^2\right)-\frac{5\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)}{4\,b}}{b^3\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+x\,\left(8\,a\,b^4-4\,b^4\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+4\,a^2\,b^3+4\,b^5\,x^2-4\,a\,b^3\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}+\frac{\ln\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)\,\left(3\,\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-3\,\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+6\,b\,x\right)}{2\,b^4}","Not used",1,"x/b^3 - (x*(3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 12*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 12*a^2) - (5*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)))/(4*b))/(b^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + x*(8*a*b^4 - 4*b^4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + 4*a^2*b^3 + 4*b^5*x^2 - 4*a*b^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + (log(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))*(3*log(-2/(exp(2*a)*exp(2*b*x) - 1)) - 3*log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 6*b*x))/(2*b^4)","B"
178,1,46,47,1.219183,"\text{Not used}","int(x^2/acoth(tanh(a + b*x))^3,x)","\frac{\ln\left(\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\right)}{b^3}-\frac{\frac{b^2\,x^2}{2}+b\,x\,\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{b^3\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}","Not used",1,"log(acoth(tanh(a + b*x)))/b^3 - ((b^2*x^2)/2 + b*x*acoth(tanh(a + b*x)))/(b^3*acoth(tanh(a + b*x))^2)","B"
179,1,25,34,0.088140,"\text{Not used}","int(x/acoth(tanh(a + b*x))^3,x)","-\frac{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)+b\,x}{2\,b^2\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}","Not used",1,"-(acoth(tanh(a + b*x)) + b*x)/(2*b^2*acoth(tanh(a + b*x))^2)","B"
180,1,14,16,0.066294,"\text{Not used}","int(1/acoth(tanh(a + b*x))^3,x)","-\frac{1}{2\,b\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^2}","Not used",1,"-1/(2*b*acoth(tanh(a + b*x))^2)","B"
181,1,902,97,6.492911,"\text{Not used}","int(1/(x*acoth(tanh(a + b*x))^3),x)","-\frac{16\,\mathrm{atanh}\left(\frac{16\,\left(4\,b\,x-\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-8\,a^3-6\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+12\,a^2\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2}\right)\,\left(\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{16}-\frac{a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{4}+\frac{a^2}{4}\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}-\frac{\frac{12}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}-\frac{16\,b\,x}{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2}}{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2+x\,\left(8\,a\,b-4\,b\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+4\,b^2\,x^2}","Not used",1,"- (16*atanh((16*(4*b*x - ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 8*a^3 - 6*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 12*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2))*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2/16 - (a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/4 + a^2/4))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - (12/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) - (16*b*x)/((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2))/((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2 + x*(8*a*b - 4*b*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + 4*b^2*x^2)","B"
182,1,1074,131,5.261595,"\text{Not used}","int(1/(x^2*acoth(tanh(a + b*x))^3),x)","\frac{\frac{8}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}-\frac{72\,b\,x}{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2}+\frac{96\,b^2\,x^2}{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}}{x\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)+x^2\,\left(8\,a\,b-4\,b\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+4\,b^2\,x^3}+\frac{96\,b\,\mathrm{atanh}\left(\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4+24\,a^2\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2+16\,a^4-8\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-32\,a^3\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4}-\frac{4\,b\,x\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4}","Not used",1,"(8/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) - (72*b*x)/((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2) + (96*b^2*x^2)/((log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2)))/(x*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2) + x^2*(8*a*b - 4*b*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + 4*b^2*x^3) + (96*b*atanh(((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4 + 24*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 + 16*a^4 - 8*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 32*a^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4 - (4*b*x*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4","B"
183,1,1251,170,8.120643,"\text{Not used}","int(1/(x^3*acoth(tanh(a + b*x))^3),x)","\frac{\frac{4}{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x}+\frac{32\,b\,x}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}-\frac{288\,b^2\,x^2}{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}+\frac{384\,b^3\,x^3}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}}{x^3\,\left(8\,a\,b-4\,b\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\right)+x^2\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)+4\,b^2\,x^4}-\frac{384\,b^2\,\mathrm{atanh}\left(\frac{4\,b\,x\,\left({\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-4\,a\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)+4\,a^2\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}-\frac{{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^5+40\,a^2\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3-80\,a^3\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2-32\,a^5-10\,a\,{\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4+80\,a^4\,\left(2\,a-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^5}\right)}{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^5}","Not used",1,"(4/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + (32*b*x)/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - (288*b^2*x^2)/((log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2)) + (384*b^3*x^3)/((log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2)))/(x^3*(8*a*b - 4*b*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)) + x^2*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2) + 4*b^2*x^4) - (384*b^2*atanh((4*b*x*((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 4*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x) + 4*a^2))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - ((2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^5 + 40*a^2*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3 - 80*a^3*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2 - 32*a^5 - 10*a*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4 + 80*a^4*(2*a - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + log(-2/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^5))/(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^5","B"
184,0,-1,79,0.000000,"\text{Not used}","int(x^m*acoth(tanh(a + b*x))^n,x)","\int x^m\,{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(x^m*acoth(tanh(a + b*x))^n, x)","F"
185,1,546,165,2.187102,"\text{Not used}","int(x^4*acoth(tanh(a + b*x))^n,x)","-{\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}\right)}^n\,\left(\frac{3\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^5}{4\,b^5\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}-\frac{x^5\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}{n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120}+\frac{3\,n\,x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4}{2\,b^4\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{n\,x^4\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left(n^3+6\,n^2+11\,n+6\right)}{2\,b\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{3\,n\,x^2\,\left(n+1\right)\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}{2\,b^3\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}+\frac{n\,x^3\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2\,\left(n^2+3\,n+2\right)}{b^2\,\left(n^5+15\,n^4+85\,n^3+225\,n^2+274\,n+120\right)}\right)","Not used",1,"-(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 - log(-2/(exp(2*a)*exp(2*b*x) - 1))/2)^n*((3*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^5)/(4*b^5*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) - (x^5*(50*n + 35*n^2 + 10*n^3 + n^4 + 24))/(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120) + (3*n*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4)/(2*b^4*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (n*x^4*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*(11*n + 6*n^2 + n^3 + 6))/(2*b*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (3*n*x^2*(n + 1)*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3)/(2*b^3*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)) + (n*x^3*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2*(3*n + n^2 + 2))/(b^2*(274*n + 225*n^2 + 85*n^3 + 15*n^4 + n^5 + 120)))","B"
186,1,418,121,1.500405,"\text{Not used}","int(x^3*acoth(tanh(a + b*x))^n,x)","-{\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}\right)}^n\,\left(\frac{3\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^4}{8\,b^4\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}-\frac{x^4\,\left(n^3+6\,n^2+11\,n+6\right)}{n^4+10\,n^3+35\,n^2+50\,n+24}+\frac{3\,n\,x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}{4\,b^3\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{n\,x^3\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)\,\left(n^2+3\,n+2\right)}{2\,b\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}+\frac{3\,n\,x^2\,\left(n+1\right)\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4\,b^2\,\left(n^4+10\,n^3+35\,n^2+50\,n+24\right)}\right)","Not used",1,"-(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 - log(-2/(exp(2*a)*exp(2*b*x) - 1))/2)^n*((3*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^4)/(8*b^4*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) - (x^4*(11*n + 6*n^2 + n^3 + 6))/(50*n + 35*n^2 + 10*n^3 + n^4 + 24) + (3*n*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3)/(4*b^3*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (n*x^3*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)*(3*n + n^2 + 2))/(2*b*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)) + (3*n*x^2*(n + 1)*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/(4*b^2*(50*n + 35*n^2 + 10*n^3 + n^4 + 24)))","B"
187,1,304,82,1.360570,"\text{Not used}","int(x^2*acoth(tanh(a + b*x))^n,x)","-{\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}\right)}^n\,\left(\frac{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^3}{4\,b^3\,\left(n^3+6\,n^2+11\,n+6\right)}-\frac{x^3\,\left(n^2+3\,n+2\right)}{n^3+6\,n^2+11\,n+6}+\frac{n\,x\,{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{2\,b^2\,\left(n^3+6\,n^2+11\,n+6\right)}+\frac{n\,x^2\,\left(n+1\right)\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b\,\left(n^3+6\,n^2+11\,n+6\right)}\right)","Not used",1,"-(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 - log(-2/(exp(2*a)*exp(2*b*x) - 1))/2)^n*((log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^3/(4*b^3*(11*n + 6*n^2 + n^3 + 6)) - (x^3*(3*n + n^2 + 2))/(11*n + 6*n^2 + n^3 + 6) + (n*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2)/(2*b^2*(11*n + 6*n^2 + n^3 + 6)) + (n*x^2*(n + 1)*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b*(11*n + 6*n^2 + n^3 + 6)))","B"
188,1,205,48,1.306609,"\text{Not used}","int(x*acoth(tanh(a + b*x))^n,x)","-{\left(\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}\right)}^n\,\left(\frac{{\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}^2}{4\,b^2\,\left(n^2+3\,n+2\right)}-\frac{x^2\,\left(n+1\right)}{n^2+3\,n+2}+\frac{n\,x\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,b\,\left(n^2+3\,n+2\right)}\right)","Not used",1,"-(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 - log(-2/(exp(2*a)*exp(2*b*x) - 1))/2)^n*((log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x)^2/(4*b^2*(3*n + n^2 + 2)) - (x^2*(n + 1))/(3*n + n^2 + 2) + (n*x*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(2*b*(3*n + n^2 + 2)))","B"
189,1,121,20,1.267953,"\text{Not used}","int(acoth(tanh(a + b*x))^n,x)","{\left(\frac{1}{2}\right)}^n\,\left(\frac{x}{n+1}-\frac{\frac{\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}-\frac{\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)}{2}+b\,x}{b\,\left(n+1\right)}\right)\,{\left(\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)\right)}^n","Not used",1,"(1/2)^n*(x/(n + 1) - (log(-2/(exp(2*a)*exp(2*b*x) - 1))/2 - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1))/2 + b*x)/(b*(n + 1)))*(log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) - log(-2/(exp(2*a)*exp(2*b*x) - 1)))^n","B"
190,0,-1,64,0.000000,"\text{Not used}","int(acoth(tanh(a + b*x))^n/x,x)","\int \frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^n}{x} \,d x","Not used",1,"int(acoth(tanh(a + b*x))^n/x, x)","F"
191,0,-1,71,0.000000,"\text{Not used}","int(acoth(tanh(a + b*x))^n/x^2,x)","\int \frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^n}{x^2} \,d x","Not used",1,"int(acoth(tanh(a + b*x))^n/x^2, x)","F"
192,0,-1,101,0.000000,"\text{Not used}","int(acoth(tanh(a + b*x))^n/x^3,x)","\int \frac{{\mathrm{acoth}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}^n}{x^3} \,d x","Not used",1,"int(acoth(tanh(a + b*x))^n/x^3, x)","F"
193,1,96,37,0.003421,"\text{Not used}","int(x^m*acoth(tanh(a + b*x)),x)","\frac{2\,b\,x^m\,x^2\,\left(m+1\right)}{2\,m^2+6\,m+4}-\frac{x\,x^m\,\left(m+2\right)\,\left(\ln\left(-\frac{2}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)-\ln\left(\frac{2\,{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}-1}\right)+2\,b\,x\right)}{2\,m^2+6\,m+4}","Not used",1,"(2*b*x^m*x^2*(m + 1))/(6*m + 2*m^2 + 4) - (x*x^m*(m + 2)*(log(-2/(exp(2*a)*exp(2*b*x) - 1)) - log((2*exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) - 1)) + 2*b*x))/(6*m + 2*m^2 + 4)","B"
194,1,19,23,0.078721,"\text{Not used}","int(x^2*acoth(coth(a + b*x)),x)","\frac{x^3\,\mathrm{acoth}\left(\mathrm{coth}\left(a+b\,x\right)\right)}{3}-\frac{b\,x^4}{12}","Not used",1,"(x^3*acoth(coth(a + b*x)))/3 - (b*x^4)/12","B"
195,1,19,23,0.056370,"\text{Not used}","int(x*acoth(coth(a + b*x)),x)","\frac{x^2\,\mathrm{acoth}\left(\mathrm{coth}\left(a+b\,x\right)\right)}{2}-\frac{b\,x^3}{6}","Not used",1,"(x^2*acoth(coth(a + b*x)))/2 - (b*x^3)/6","B"
196,1,16,16,1.206967,"\text{Not used}","int(acoth(coth(a + b*x)),x)","x\,\mathrm{acoth}\left(\mathrm{coth}\left(a+b\,x\right)\right)-\frac{b\,x^2}{2}","Not used",1,"x*acoth(coth(a + b*x)) - (b*x^2)/2","B"
197,1,58,21,0.545178,"\text{Not used}","int(acoth(coth(a + b*x))/x,x)","b\,x-\frac{\ln\left(\frac{1}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}+1}\right)\,\ln\left(x\right)}{2}+\frac{\ln\left(\frac{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}}{{\mathrm{e}}^{2\,a}\,{\mathrm{e}}^{2\,b\,x}+1}\right)\,\ln\left(x\right)}{2}-b\,x\,\ln\left(x\right)","Not used",1,"b*x - (log(1/(exp(2*a)*exp(2*b*x) + 1))*log(x))/2 + (log((exp(2*a)*exp(2*b*x))/(exp(2*a)*exp(2*b*x) + 1))*log(x))/2 - b*x*log(x)","B"
198,1,17,17,0.074031,"\text{Not used}","int(acoth(coth(a + b*x))/x^2,x)","b\,\ln\left(x\right)-\frac{\mathrm{acoth}\left(\mathrm{coth}\left(a+b\,x\right)\right)}{x}","Not used",1,"b*log(x) - acoth(coth(a + b*x))/x","B"
199,1,16,23,1.143087,"\text{Not used}","int(acoth(coth(a + b*x))/x^3,x)","-\frac{\mathrm{acoth}\left(\mathrm{coth}\left(a+b\,x\right)\right)+b\,x}{2\,x^2}","Not used",1,"-(acoth(coth(a + b*x)) + b*x)/(2*x^2)","B"
200,0,-1,27,0.000000,"\text{Not used}","int(acoth(cosh(x)),x)","\int \mathrm{acoth}\left(\mathrm{cosh}\left(x\right)\right) \,d x","Not used",1,"int(acoth(cosh(x)), x)","F"
201,0,-1,51,0.000000,"\text{Not used}","int(x*acoth(cosh(x)),x)","\int x\,\mathrm{acoth}\left(\mathrm{cosh}\left(x\right)\right) \,d x","Not used",1,"int(x*acoth(cosh(x)), x)","F"
202,0,-1,77,0.000000,"\text{Not used}","int(x^2*acoth(cosh(x)),x)","\int x^2\,\mathrm{acoth}\left(\mathrm{cosh}\left(x\right)\right) \,d x","Not used",1,"int(x^2*acoth(cosh(x)), x)","F"
203,0,-1,307,0.000000,"\text{Not used}","int(x^2*acoth(c + d*tanh(a + b*x)),x)","\int x^2\,\mathrm{acoth}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*acoth(c + d*tanh(a + b*x)), x)","F"
204,0,-1,231,0.000000,"\text{Not used}","int(x*acoth(c + d*tanh(a + b*x)),x)","\int x\,\mathrm{acoth}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*acoth(c + d*tanh(a + b*x)), x)","F"
205,0,-1,150,0.000000,"\text{Not used}","int(acoth(c + d*tanh(a + b*x)),x)","\int \mathrm{acoth}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(c + d*tanh(a + b*x)), x)","F"
206,0,-1,18,0.000000,"\text{Not used}","int(acoth(c + d*tanh(a + b*x))/x,x)","\int \frac{\mathrm{acoth}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(acoth(c + d*tanh(a + b*x))/x, x)","F"
207,0,-1,155,0.000000,"\text{Not used}","int(x^3*acoth(d + d*tanh(a + b*x) + 1),x)","\int x^3\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x^3*acoth(d + d*tanh(a + b*x) + 1), x)","F"
208,0,-1,128,0.000000,"\text{Not used}","int(x^2*acoth(d + d*tanh(a + b*x) + 1),x)","\int x^2\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x^2*acoth(d + d*tanh(a + b*x) + 1), x)","F"
209,0,-1,101,0.000000,"\text{Not used}","int(x*acoth(d + d*tanh(a + b*x) + 1),x)","\int x\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x*acoth(d + d*tanh(a + b*x) + 1), x)","F"
210,0,-1,69,0.000000,"\text{Not used}","int(acoth(d + d*tanh(a + b*x) + 1),x)","\int \mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(acoth(d + d*tanh(a + b*x) + 1), x)","F"
211,0,-1,19,0.000000,"\text{Not used}","int(acoth(d + d*tanh(a + b*x) + 1)/x,x)","\int \frac{\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)+1\right)}{x} \,d x","Not used",0,"int(acoth(d + d*tanh(a + b*x) + 1)/x, x)","F"
212,0,-1,168,0.000000,"\text{Not used}","int(-x^3*acoth(d + d*tanh(a + b*x) - 1),x)","\int -x^3\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x^3*acoth(d + d*tanh(a + b*x) - 1), x)","F"
213,0,-1,139,0.000000,"\text{Not used}","int(-x^2*acoth(d + d*tanh(a + b*x) - 1),x)","\int -x^2\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x^2*acoth(d + d*tanh(a + b*x) - 1), x)","F"
214,0,-1,110,0.000000,"\text{Not used}","int(-x*acoth(d + d*tanh(a + b*x) - 1),x)","\int -x\,\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x*acoth(d + d*tanh(a + b*x) - 1), x)","F"
215,0,-1,76,0.000000,"\text{Not used}","int(-acoth(d + d*tanh(a + b*x) - 1),x)","\int -\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-acoth(d + d*tanh(a + b*x) - 1), x)","F"
216,0,-1,22,0.000000,"\text{Not used}","int(-acoth(d + d*tanh(a + b*x) - 1)/x,x)","\int -\frac{\mathrm{acoth}\left(d+d\,\mathrm{tanh}\left(a+b\,x\right)-1\right)}{x} \,d x","Not used",0,"int(-acoth(d + d*tanh(a + b*x) - 1)/x, x)","F"
217,0,-1,303,0.000000,"\text{Not used}","int(x^2*acoth(c + d*coth(a + b*x)),x)","\int x^2\,\mathrm{acoth}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*acoth(c + d*coth(a + b*x)), x)","F"
218,0,-1,229,0.000000,"\text{Not used}","int(x*acoth(c + d*coth(a + b*x)),x)","\int x\,\mathrm{acoth}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*acoth(c + d*coth(a + b*x)), x)","F"
219,0,-1,150,0.000000,"\text{Not used}","int(acoth(c + d*coth(a + b*x)),x)","\int \mathrm{acoth}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(c + d*coth(a + b*x)), x)","F"
220,0,-1,18,0.000000,"\text{Not used}","int(acoth(c + d*coth(a + b*x))/x,x)","\int \frac{\mathrm{acoth}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(acoth(c + d*coth(a + b*x))/x, x)","F"
221,0,-1,152,0.000000,"\text{Not used}","int(x^3*acoth(d + d*coth(a + b*x) + 1),x)","\int x^3\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x^3*acoth(d + d*coth(a + b*x) + 1), x)","F"
222,0,-1,126,0.000000,"\text{Not used}","int(x^2*acoth(d + d*coth(a + b*x) + 1),x)","\int x^2\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x^2*acoth(d + d*coth(a + b*x) + 1), x)","F"
223,0,-1,100,0.000000,"\text{Not used}","int(x*acoth(d + d*coth(a + b*x) + 1),x)","\int x\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(x*acoth(d + d*coth(a + b*x) + 1), x)","F"
224,0,-1,69,0.000000,"\text{Not used}","int(acoth(d + d*coth(a + b*x) + 1),x)","\int \mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)+1\right) \,d x","Not used",1,"int(acoth(d + d*coth(a + b*x) + 1), x)","F"
225,0,-1,19,0.000000,"\text{Not used}","int(acoth(d + d*coth(a + b*x) + 1)/x,x)","\int \frac{\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)+1\right)}{x} \,d x","Not used",0,"int(acoth(d + d*coth(a + b*x) + 1)/x, x)","F"
226,0,-1,165,0.000000,"\text{Not used}","int(-x^3*acoth(d + d*coth(a + b*x) - 1),x)","\int -x^3\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x^3*acoth(d + d*coth(a + b*x) - 1), x)","F"
227,0,-1,137,0.000000,"\text{Not used}","int(-x^2*acoth(d + d*coth(a + b*x) - 1),x)","\int -x^2\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x^2*acoth(d + d*coth(a + b*x) - 1), x)","F"
228,0,-1,109,0.000000,"\text{Not used}","int(-x*acoth(d + d*coth(a + b*x) - 1),x)","\int -x\,\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-x*acoth(d + d*coth(a + b*x) - 1), x)","F"
229,0,-1,76,0.000000,"\text{Not used}","int(-acoth(d + d*coth(a + b*x) - 1),x)","\int -\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)-1\right) \,d x","Not used",1,"int(-acoth(d + d*coth(a + b*x) - 1), x)","F"
230,0,-1,22,0.000000,"\text{Not used}","int(-acoth(d + d*coth(a + b*x) - 1)/x,x)","\int -\frac{\mathrm{acoth}\left(d+d\,\mathrm{coth}\left(a+b\,x\right)-1\right)}{x} \,d x","Not used",0,"int(-acoth(d + d*coth(a + b*x) - 1)/x, x)","F"
231,0,-1,302,0.000000,"\text{Not used}","int(acoth(tan(a + b*x))*(e + f*x)^3,x)","\int \mathrm{acoth}\left(\mathrm{tan}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^3 \,d x","Not used",1,"int(acoth(tan(a + b*x))*(e + f*x)^3, x)","F"
232,0,-1,234,0.000000,"\text{Not used}","int(acoth(tan(a + b*x))*(e + f*x)^2,x)","\int \mathrm{acoth}\left(\mathrm{tan}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^2 \,d x","Not used",1,"int(acoth(tan(a + b*x))*(e + f*x)^2, x)","F"
233,0,-1,162,0.000000,"\text{Not used}","int(acoth(tan(a + b*x))*(e + f*x),x)","\int \mathrm{acoth}\left(\mathrm{tan}\left(a+b\,x\right)\right)\,\left(e+f\,x\right) \,d x","Not used",1,"int(acoth(tan(a + b*x))*(e + f*x), x)","F"
234,0,-1,79,0.000000,"\text{Not used}","int(acoth(tan(a + b*x)),x)","\int \mathrm{acoth}\left(\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(tan(a + b*x)), x)","F"
235,0,-1,18,0.000000,"\text{Not used}","int(acoth(tan(a + b*x))/(e + f*x),x)","\int \frac{\mathrm{acoth}\left(\mathrm{tan}\left(a+b\,x\right)\right)}{e+f\,x} \,d x","Not used",0,"int(acoth(tan(a + b*x))/(e + f*x), x)","F"
236,0,-1,395,0.000000,"\text{Not used}","int(x^2*acoth(c + d*tan(a + b*x)),x)","\int x^2\,\mathrm{acoth}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*acoth(c + d*tan(a + b*x)), x)","F"
237,0,-1,295,0.000000,"\text{Not used}","int(x*acoth(c + d*tan(a + b*x)),x)","\int x\,\mathrm{acoth}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*acoth(c + d*tan(a + b*x)), x)","F"
238,0,-1,194,0.000000,"\text{Not used}","int(acoth(c + d*tan(a + b*x)),x)","\int \mathrm{acoth}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(c + d*tan(a + b*x)), x)","F"
239,0,-1,18,0.000000,"\text{Not used}","int(acoth(c + d*tan(a + b*x))/x,x)","\int \frac{\mathrm{acoth}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(acoth(c + d*tan(a + b*x))/x, x)","F"
240,0,-1,170,0.000000,"\text{Not used}","int(x^2*acoth(d*tan(a + b*x) - d*1i + 1),x)","\int x^2\,\mathrm{acoth}\left(d\,\mathrm{tan}\left(a+b\,x\right)+1-d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x^2*acoth(d*tan(a + b*x) - d*1i + 1), x)","F"
241,0,-1,133,0.000000,"\text{Not used}","int(x*acoth(d*tan(a + b*x) - d*1i + 1),x)","\int x\,\mathrm{acoth}\left(d\,\mathrm{tan}\left(a+b\,x\right)+1-d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x*acoth(d*tan(a + b*x) - d*1i + 1), x)","F"
242,0,-1,93,0.000000,"\text{Not used}","int(acoth(d*tan(a + b*x) - d*1i + 1),x)","\int \mathrm{acoth}\left(d\,\mathrm{tan}\left(a+b\,x\right)+1-d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(acoth(d*tan(a + b*x) - d*1i + 1), x)","F"
243,0,-1,23,0.000000,"\text{Not used}","int(acoth(d*tan(a + b*x) - d*1i + 1)/x,x)","\int \frac{\mathrm{acoth}\left(d\,\mathrm{tan}\left(a+b\,x\right)+1-d\,1{}\mathrm{i}\right)}{x} \,d x","Not used",0,"int(acoth(d*tan(a + b*x) - d*1i + 1)/x, x)","F"
244,0,-1,171,0.000000,"\text{Not used}","int(x^2*acoth(d*1i - d*tan(a + b*x) + 1),x)","\int x^2\,\mathrm{acoth}\left(1-d\,\mathrm{tan}\left(a+b\,x\right)+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x^2*acoth(d*1i - d*tan(a + b*x) + 1), x)","F"
245,0,-1,134,0.000000,"\text{Not used}","int(x*acoth(d*1i - d*tan(a + b*x) + 1),x)","\int x\,\mathrm{acoth}\left(1-d\,\mathrm{tan}\left(a+b\,x\right)+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x*acoth(d*1i - d*tan(a + b*x) + 1), x)","F"
246,0,-1,94,0.000000,"\text{Not used}","int(acoth(d*1i - d*tan(a + b*x) + 1),x)","\int \mathrm{acoth}\left(1-d\,\mathrm{tan}\left(a+b\,x\right)+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(acoth(d*1i - d*tan(a + b*x) + 1), x)","F"
247,0,-1,24,0.000000,"\text{Not used}","int(acoth(d*1i - d*tan(a + b*x) + 1)/x,x)","\int \frac{\mathrm{acoth}\left(1-d\,\mathrm{tan}\left(a+b\,x\right)+d\,1{}\mathrm{i}\right)}{x} \,d x","Not used",0,"int(acoth(d*1i - d*tan(a + b*x) + 1)/x, x)","F"
248,0,-1,302,0.000000,"\text{Not used}","int(acoth(cot(a + b*x))*(e + f*x)^3,x)","\int \mathrm{acoth}\left(\mathrm{cot}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^3 \,d x","Not used",1,"int(acoth(cot(a + b*x))*(e + f*x)^3, x)","F"
249,0,-1,234,0.000000,"\text{Not used}","int(acoth(cot(a + b*x))*(e + f*x)^2,x)","\int \mathrm{acoth}\left(\mathrm{cot}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^2 \,d x","Not used",1,"int(acoth(cot(a + b*x))*(e + f*x)^2, x)","F"
250,0,-1,162,0.000000,"\text{Not used}","int(acoth(cot(a + b*x))*(e + f*x),x)","\int \mathrm{acoth}\left(\mathrm{cot}\left(a+b\,x\right)\right)\,\left(e+f\,x\right) \,d x","Not used",1,"int(acoth(cot(a + b*x))*(e + f*x), x)","F"
251,0,-1,79,0.000000,"\text{Not used}","int(acoth(cot(a + b*x)),x)","\int \mathrm{acoth}\left(\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(cot(a + b*x)), x)","F"
252,0,-1,18,0.000000,"\text{Not used}","int(acoth(cot(a + b*x))/(e + f*x),x)","\int \frac{\mathrm{acoth}\left(\mathrm{cot}\left(a+b\,x\right)\right)}{e+f\,x} \,d x","Not used",0,"int(acoth(cot(a + b*x))/(e + f*x), x)","F"
253,0,-1,391,0.000000,"\text{Not used}","int(x^2*acoth(c + d*cot(a + b*x)),x)","\int x^2\,\mathrm{acoth}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*acoth(c + d*cot(a + b*x)), x)","F"
254,0,-1,293,0.000000,"\text{Not used}","int(x*acoth(c + d*cot(a + b*x)),x)","\int x\,\mathrm{acoth}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*acoth(c + d*cot(a + b*x)), x)","F"
255,0,-1,194,0.000000,"\text{Not used}","int(acoth(c + d*cot(a + b*x)),x)","\int \mathrm{acoth}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(acoth(c + d*cot(a + b*x)), x)","F"
256,0,-1,18,0.000000,"\text{Not used}","int(acoth(c + d*cot(a + b*x))/x,x)","\int \frac{\mathrm{acoth}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(acoth(c + d*cot(a + b*x))/x, x)","F"
257,0,-1,168,0.000000,"\text{Not used}","int(x^2*acoth(d*1i + d*cot(a + b*x) + 1),x)","\int x^2\,\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)+1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x^2*acoth(d*1i + d*cot(a + b*x) + 1), x)","F"
258,0,-1,132,0.000000,"\text{Not used}","int(x*acoth(d*1i + d*cot(a + b*x) + 1),x)","\int x\,\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)+1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x*acoth(d*1i + d*cot(a + b*x) + 1), x)","F"
259,0,-1,93,0.000000,"\text{Not used}","int(acoth(d*1i + d*cot(a + b*x) + 1),x)","\int \mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)+1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(acoth(d*1i + d*cot(a + b*x) + 1), x)","F"
260,0,-1,23,0.000000,"\text{Not used}","int(acoth(d*1i + d*cot(a + b*x) + 1)/x,x)","\int \frac{\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)+1+d\,1{}\mathrm{i}\right)}{x} \,d x","Not used",0,"int(acoth(d*1i + d*cot(a + b*x) + 1)/x, x)","F"
261,0,-1,169,0.000000,"\text{Not used}","int(-x^2*acoth(d*1i + d*cot(a + b*x) - 1),x)","\int -x^2\,\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)-1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(-x^2*acoth(d*1i + d*cot(a + b*x) - 1), x)","F"
262,0,-1,133,0.000000,"\text{Not used}","int(-x*acoth(d*1i + d*cot(a + b*x) - 1),x)","\int -x\,\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)-1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(-x*acoth(d*1i + d*cot(a + b*x) - 1), x)","F"
263,0,-1,94,0.000000,"\text{Not used}","int(-acoth(d*1i + d*cot(a + b*x) - 1),x)","\int -\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)-1+d\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(-acoth(d*1i + d*cot(a + b*x) - 1), x)","F"
264,0,-1,24,0.000000,"\text{Not used}","int(-acoth(d*1i + d*cot(a + b*x) - 1)/x,x)","\int -\frac{\mathrm{acoth}\left(d\,\mathrm{cot}\left(a+b\,x\right)-1+d\,1{}\mathrm{i}\right)}{x} \,d x","Not used",0,"int(-acoth(d*1i + d*cot(a + b*x) - 1)/x, x)","F"
265,0,-1,160,0.000000,"\text{Not used}","int(((a + b*acoth(c*x^n))*(d + e*log(f*x^m)))/x,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x^n\right)\right)\,\left(d+e\,\ln\left(f\,x^m\right)\right)}{x} \,d x","Not used",1,"int(((a + b*acoth(c*x^n))*(d + e*log(f*x^m)))/x, x)","F"
266,1,510,297,2.287904,"\text{Not used}","int(x^5*(a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(1-c^2\,x^2\right)\,\left(\frac{a\,e\,x^6}{6}+\frac{b\,e\,x}{6\,c^5}+\frac{b\,e\,x^5}{30\,c}+\frac{b\,e\,x^3}{18\,c^3}\right)-\ln\left(\frac{1}{c\,x}+1\right)\,\left(\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e}{12\,c^6}-\frac{b\,e\,x^6}{12}\right)-\frac{b\,d\,x^6}{12}+\frac{b\,e\,x^6}{36}+\frac{b\,e\,x^4}{24\,c^2}+\frac{b\,e\,x^2}{12\,c^4}\right)+\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{\frac{b\,d\,x^7}{6}-\frac{b\,c^2\,d\,x^9}{6}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\frac{b\,e\,x^7}{36}+\frac{b\,e\,x^5}{12\,c^2}-\frac{b\,e\,x^3}{6\,c^4}+\frac{b\,c^2\,e\,x^9}{18}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e\,x^7}{6}-\frac{b\,c^2\,e\,x^9}{6}\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(1-c^2\,x^2\right)\,\left(x-c^2\,x^3\right)}{12\,c^6\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}\right)+x^4\,\left(\frac{a\,\left(3\,d-e\right)}{12\,c^2}-\frac{a\,d}{4\,c^2}\right)+x^3\,\left(\frac{b\,\left(15\,d-11\,e\right)}{270\,c^3}-\frac{7\,b\,e}{108\,c^3}\right)+x\,\left(\frac{\frac{b\,\left(15\,d-11\,e\right)}{90\,c^3}-\frac{7\,b\,e}{36\,c^3}}{c^2}-\frac{b\,e}{2\,c^5}\right)+\frac{a\,x^6\,\left(3\,d-e\right)}{18}+\frac{x^2\,\left(\frac{a\,\left(3\,d-e\right)}{3\,c^2}-\frac{a\,d}{c^2}\right)}{2\,c^2}-\frac{\ln\left(c\,x-1\right)\,\left(20\,a\,e-10\,b\,d+49\,b\,e\right)}{120\,c^6}-\frac{\ln\left(c\,x+1\right)\,\left(20\,a\,e+10\,b\,d-49\,b\,e\right)}{120\,c^6}+\frac{b\,x^5\,\left(15\,d-11\,e\right)}{450\,c}","Not used",1,"log(1 - c^2*x^2)*((a*e*x^6)/6 + (b*e*x)/(6*c^5) + (b*e*x^5)/(30*c) + (b*e*x^3)/(18*c^3)) - log(1/(c*x) + 1)*(log(1 - c^2*x^2)*((b*e)/(12*c^6) - (b*e*x^6)/12) - (b*d*x^6)/12 + (b*e*x^6)/36 + (b*e*x^4)/(24*c^2) + (b*e*x^2)/(12*c^4)) + log(1 - 1/(c*x))*(((b*d*x^7)/6 - (b*c^2*d*x^9)/6)/(2*(x + c*x^2)*(c*x - 1)) + ((b*e*x^7)/36 + (b*e*x^5)/(12*c^2) - (b*e*x^3)/(6*c^4) + (b*c^2*e*x^9)/18)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*((b*e*x^7)/6 - (b*c^2*e*x^9)/6))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1 - c^2*x^2)*(x - c^2*x^3))/(12*c^6*(x + c*x^2)*(c*x - 1))) + x^4*((a*(3*d - e))/(12*c^2) - (a*d)/(4*c^2)) + x^3*((b*(15*d - 11*e))/(270*c^3) - (7*b*e)/(108*c^3)) + x*(((b*(15*d - 11*e))/(90*c^3) - (7*b*e)/(36*c^3))/c^2 - (b*e)/(2*c^5)) + (a*x^6*(3*d - e))/18 + (x^2*((a*(3*d - e))/(3*c^2) - (a*d)/c^2))/(2*c^2) - (log(c*x - 1)*(20*a*e - 10*b*d + 49*b*e))/(120*c^6) - (log(c*x + 1)*(20*a*e + 10*b*d - 49*b*e))/(120*c^6) + (b*x^5*(15*d - 11*e))/(450*c)","B"
267,1,414,225,2.280216,"\text{Not used}","int(x^3*(a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{\frac{b\,e\,x^5}{8}-\frac{b\,e\,x^3}{4\,c^2}+\frac{b\,c^2\,e\,x^7}{8}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\frac{b\,d\,x^5}{4}-\frac{b\,c^2\,d\,x^7}{4}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e\,x^5}{4}-\frac{b\,c^2\,e\,x^7}{4}\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(1-c^2\,x^2\right)\,\left(x-c^2\,x^3\right)}{8\,c^4\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}\right)+x\,\left(\frac{b\,\left(6\,d-7\,e\right)}{24\,c^3}-\frac{3\,b\,e}{4\,c^3}\right)+\ln\left(1-c^2\,x^2\right)\,\left(\frac{a\,e\,x^4}{4}+\frac{b\,e\,x}{4\,c^3}+\frac{b\,e\,x^3}{12\,c}\right)-\ln\left(\frac{1}{c\,x}+1\right)\,\left(\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e}{8\,c^4}-\frac{b\,e\,x^4}{8}\right)-\frac{b\,d\,x^4}{8}+\frac{b\,e\,x^4}{16}+\frac{b\,e\,x^2}{8\,c^2}\right)+x^2\,\left(\frac{a\,\left(2\,d-e\right)}{4\,c^2}-\frac{a\,d}{2\,c^2}\right)+\frac{a\,x^4\,\left(2\,d-e\right)}{8}-\frac{\ln\left(c\,x-1\right)\,\left(12\,a\,e-6\,b\,d+25\,b\,e\right)}{48\,c^4}-\frac{\ln\left(c\,x+1\right)\,\left(12\,a\,e+6\,b\,d-25\,b\,e\right)}{48\,c^4}+\frac{b\,x^3\,\left(6\,d-7\,e\right)}{72\,c}","Not used",1,"log(1 - 1/(c*x))*(((b*e*x^5)/8 - (b*e*x^3)/(4*c^2) + (b*c^2*e*x^7)/8)/(2*(x + c*x^2)*(c*x - 1)) + ((b*d*x^5)/4 - (b*c^2*d*x^7)/4)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*((b*e*x^5)/4 - (b*c^2*e*x^7)/4))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1 - c^2*x^2)*(x - c^2*x^3))/(8*c^4*(x + c*x^2)*(c*x - 1))) + x*((b*(6*d - 7*e))/(24*c^3) - (3*b*e)/(4*c^3)) + log(1 - c^2*x^2)*((a*e*x^4)/4 + (b*e*x)/(4*c^3) + (b*e*x^3)/(12*c)) - log(1/(c*x) + 1)*(log(1 - c^2*x^2)*((b*e)/(8*c^4) - (b*e*x^4)/8) - (b*d*x^4)/8 + (b*e*x^4)/16 + (b*e*x^2)/(8*c^2)) + x^2*((a*(2*d - e))/(4*c^2) - (a*d)/(2*c^2)) + (a*x^4*(2*d - e))/8 - (log(c*x - 1)*(12*a*e - 6*b*d + 25*b*e))/(48*c^4) - (log(c*x + 1)*(12*a*e + 6*b*d - 25*b*e))/(48*c^4) + (b*x^3*(6*d - 7*e))/(72*c)","B"
268,1,329,140,2.048160,"\text{Not used}","int(x*(a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{\frac{b\,d\,x^3}{2}-\frac{b\,c^2\,d\,x^5}{2}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{\frac{b\,e\,x^3}{2}-\frac{b\,c^2\,e\,x^5}{2}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e\,x^3}{2}-\frac{b\,c^2\,e\,x^5}{2}\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(1-c^2\,x^2\right)\,\left(x-c^2\,x^3\right)}{4\,c^2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}\right)+\ln\left(1-c^2\,x^2\right)\,\left(\frac{a\,e\,x^2}{2}+\frac{b\,e\,x}{2\,c}\right)-\ln\left(\frac{1}{c\,x}+1\right)\,\left(\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e}{4\,c^2}-\frac{b\,e\,x^2}{4}\right)-\frac{b\,d\,x^2}{4}+\frac{b\,e\,x^2}{4}\right)+\frac{a\,x^2\,\left(d-e\right)}{2}-\frac{\ln\left(c\,x+1\right)\,\left(2\,a\,e+b\,d-3\,b\,e\right)}{4\,c^2}-\frac{\ln\left(c\,x-1\right)\,\left(2\,a\,e-b\,d+3\,b\,e\right)}{4\,c^2}+\frac{b\,x\,\left(d-3\,e\right)}{2\,c}","Not used",1,"log(1 - 1/(c*x))*(((b*d*x^3)/2 - (b*c^2*d*x^5)/2)/(2*(x + c*x^2)*(c*x - 1)) - ((b*e*x^3)/2 - (b*c^2*e*x^5)/2)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*((b*e*x^3)/2 - (b*c^2*e*x^5)/2))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1 - c^2*x^2)*(x - c^2*x^3))/(4*c^2*(x + c*x^2)*(c*x - 1))) + log(1 - c^2*x^2)*((a*e*x^2)/2 + (b*e*x)/(2*c)) - log(1/(c*x) + 1)*(log(1 - c^2*x^2)*((b*e)/(4*c^2) - (b*e*x^2)/4) - (b*d*x^2)/4 + (b*e*x^2)/4) + (a*x^2*(d - e))/2 - (log(c*x + 1)*(2*a*e + b*d - 3*b*e))/(4*c^2) - (log(c*x - 1)*(2*a*e - b*d + 3*b*e))/(4*c^2) + (b*x*(d - 3*e))/(2*c)","B"
269,0,-1,381,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x, x)","F"
270,0,-1,247,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^3,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x^3} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^3, x)","F"
271,0,-1,339,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^5,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x^5} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^5, x)","F"
272,1,497,315,2.339176,"\text{Not used}","int(x^4*(a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(\frac{1}{c\,x}+1\right)\,\left(\frac{b\,d\,x^5}{10}-\frac{\frac{2\,b\,e\,c^5\,x^5}{5}+\frac{2\,b\,e\,c^3\,x^3}{3}+2\,b\,e\,c\,x}{10\,c^5}+\frac{b\,e\,x^5\,\ln\left(1-c^2\,x^2\right)}{10}\right)+\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{\frac{b\,d\,x^6}{5}-\frac{b\,c^2\,d\,x^8}{5}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\frac{4\,b\,e\,x^6}{75}+\frac{4\,b\,e\,x^4}{15\,c^2}-\frac{2\,b\,e\,x^2}{5\,c^4}+\frac{2\,b\,c^2\,e\,x^8}{25}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e\,x^6}{5}-\frac{b\,c^2\,e\,x^8}{5}\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(\frac{1}{c\,x}+1\right)}{10\,c^5}\right)+x^3\,\left(\frac{a\,\left(5\,d-2\,e\right)}{15\,c^2}-\frac{a\,d}{3\,c^2}\right)+x^2\,\left(\frac{b\,\left(10\,d-9\,e\right)}{100\,c^3}-\frac{b\,e}{6\,c^3}\right)+\frac{x\,\left(\frac{a\,\left(5\,d-2\,e\right)}{5\,c^2}-\frac{a\,d}{c^2}\right)}{c^2}+\frac{a\,x^5\,\left(5\,d-2\,e\right)}{25}+c^2\,\ln\left(1-c^2\,x^2\right)\,\left(\frac{a\,e\,x^5}{5\,c^2}+\frac{b\,e\,x^4}{20\,c^3}+\frac{b\,e\,x^2}{10\,c^5}\right)-\frac{\ln\left(c\,x-1\right)\,\left(60\,a\,e-30\,b\,d+137\,b\,e\right)}{300\,c^5}+\frac{\ln\left(c\,x+1\right)\,\left(60\,a\,e+30\,b\,d-137\,b\,e\right)}{300\,c^5}+\frac{b\,e\,{\ln\left(\frac{1}{c\,x}+1\right)}^2}{20\,c^5}+\frac{b\,e\,{\ln\left(1-\frac{1}{c\,x}\right)}^2}{20\,c^5}+\frac{b\,e\,{\ln\left(1-c^2\,x^2\right)}^2}{20\,c^5}+\frac{b\,x^4\,\left(10\,d-9\,e\right)}{200\,c}","Not used",1,"log(1/(c*x) + 1)*((b*d*x^5)/10 - (2*b*c*e*x + (2*b*c^3*e*x^3)/3 + (2*b*c^5*e*x^5)/5)/(10*c^5) + (b*e*x^5*log(1 - c^2*x^2))/10) + log(1 - 1/(c*x))*(((b*d*x^6)/5 - (b*c^2*d*x^8)/5)/(2*(x + c*x^2)*(c*x - 1)) + ((4*b*e*x^6)/75 + (4*b*e*x^4)/(15*c^2) - (2*b*e*x^2)/(5*c^4) + (2*b*c^2*e*x^8)/25)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*((b*e*x^6)/5 - (b*c^2*e*x^8)/5))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1/(c*x) + 1))/(10*c^5)) + x^3*((a*(5*d - 2*e))/(15*c^2) - (a*d)/(3*c^2)) + x^2*((b*(10*d - 9*e))/(100*c^3) - (b*e)/(6*c^3)) + (x*((a*(5*d - 2*e))/(5*c^2) - (a*d)/c^2))/c^2 + (a*x^5*(5*d - 2*e))/25 + c^2*log(1 - c^2*x^2)*((a*e*x^5)/(5*c^2) + (b*e*x^4)/(20*c^3) + (b*e*x^2)/(10*c^5)) - (log(c*x - 1)*(60*a*e - 30*b*d + 137*b*e))/(300*c^5) + (log(c*x + 1)*(60*a*e + 30*b*d - 137*b*e))/(300*c^5) + (b*e*log(1/(c*x) + 1)^2)/(20*c^5) + (b*e*log(1 - 1/(c*x))^2)/(20*c^5) + (b*e*log(1 - c^2*x^2)^2)/(20*c^5) + (b*x^4*(10*d - 9*e))/(200*c)","B"
273,1,414,247,2.327793,"\text{Not used}","int(x^2*(a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(\frac{1}{c\,x}+1\right)\,\left(\frac{b\,d\,x^3}{6}-\frac{\frac{2\,b\,e\,c^3\,x^3}{3}+2\,b\,e\,c\,x}{6\,c^3}+\frac{b\,e\,x^3\,\ln\left(1-c^2\,x^2\right)}{6}\right)+x\,\left(\frac{a\,\left(3\,d-2\,e\right)}{3\,c^2}-\frac{a\,d}{c^2}\right)+\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{\frac{4\,b\,e\,x^4}{9}-\frac{2\,b\,e\,x^2}{3\,c^2}+\frac{2\,b\,c^2\,e\,x^6}{9}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\frac{b\,d\,x^4}{3}-\frac{b\,c^2\,d\,x^6}{3}}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(\frac{b\,e\,x^4}{3}-\frac{b\,c^2\,e\,x^6}{3}\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(\frac{1}{c\,x}+1\right)}{6\,c^3}\right)+\frac{a\,x^3\,\left(3\,d-2\,e\right)}{9}+c^2\,\ln\left(1-c^2\,x^2\right)\,\left(\frac{a\,e\,x^3}{3\,c^2}+\frac{b\,e\,x^2}{6\,c^3}\right)-\frac{\ln\left(c\,x-1\right)\,\left(6\,a\,e-3\,b\,d+11\,b\,e\right)}{18\,c^3}+\frac{\ln\left(c\,x+1\right)\,\left(6\,a\,e+3\,b\,d-11\,b\,e\right)}{18\,c^3}+\frac{b\,e\,{\ln\left(\frac{1}{c\,x}+1\right)}^2}{12\,c^3}+\frac{b\,e\,{\ln\left(1-\frac{1}{c\,x}\right)}^2}{12\,c^3}+\frac{b\,e\,{\ln\left(1-c^2\,x^2\right)}^2}{12\,c^3}+\frac{b\,x^2\,\left(3\,d-5\,e\right)}{18\,c}","Not used",1,"log(1/(c*x) + 1)*((b*d*x^3)/6 - (2*b*c*e*x + (2*b*c^3*e*x^3)/3)/(6*c^3) + (b*e*x^3*log(1 - c^2*x^2))/6) + x*((a*(3*d - 2*e))/(3*c^2) - (a*d)/c^2) + log(1 - 1/(c*x))*(((4*b*e*x^4)/9 - (2*b*e*x^2)/(3*c^2) + (2*b*c^2*e*x^6)/9)/(2*(x + c*x^2)*(c*x - 1)) + ((b*d*x^4)/3 - (b*c^2*d*x^6)/3)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*((b*e*x^4)/3 - (b*c^2*e*x^6)/3))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1/(c*x) + 1))/(6*c^3)) + (a*x^3*(3*d - 2*e))/9 + c^2*log(1 - c^2*x^2)*((a*e*x^3)/(3*c^2) + (b*e*x^2)/(6*c^3)) - (log(c*x - 1)*(6*a*e - 3*b*d + 11*b*e))/(18*c^3) + (log(c*x + 1)*(6*a*e + 3*b*d - 11*b*e))/(18*c^3) + (b*e*log(1/(c*x) + 1)^2)/(12*c^3) + (b*e*log(1 - 1/(c*x))^2)/(12*c^3) + (b*e*log(1 - c^2*x^2)^2)/(12*c^3) + (b*x^2*(3*d - 5*e))/(18*c)","B"
274,1,315,104,2.089342,"\text{Not used}","int((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)),x)","\ln\left(\frac{1}{c\,x}+1\right)\,\left(\frac{b\,d\,x}{2}-b\,e\,x+\frac{b\,e\,x\,\ln\left(1-c^2\,x^2\right)}{2}\right)+\ln\left(1-\frac{1}{c\,x}\right)\,\left(\frac{b\,d\,x^2-b\,c^2\,d\,x^4}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{2\,b\,e\,x^2-2\,b\,c^2\,e\,x^4}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}+\frac{\ln\left(1-c^2\,x^2\right)\,\left(b\,e\,x^2-b\,c^2\,e\,x^4\right)}{2\,\left(c\,x^2+x\right)\,\left(c\,x-1\right)}-\frac{b\,e\,\ln\left(\frac{1}{c\,x}+1\right)}{2\,c}\right)+a\,x\,\left(d-2\,e\right)+\frac{\ln\left(c\,x+1\right)\,\left(2\,a\,e+b\,d-2\,b\,e\right)}{2\,c}-\frac{\ln\left(c\,x-1\right)\,\left(2\,a\,e-b\,d+2\,b\,e\right)}{2\,c}+\frac{b\,e\,{\ln\left(\frac{1}{c\,x}+1\right)}^2}{4\,c}+\frac{b\,e\,{\ln\left(1-\frac{1}{c\,x}\right)}^2}{4\,c}+\frac{b\,e\,{\ln\left(1-c^2\,x^2\right)}^2}{4\,c}+a\,e\,x\,\ln\left(1-c^2\,x^2\right)","Not used",1,"log(1/(c*x) + 1)*((b*d*x)/2 - b*e*x + (b*e*x*log(1 - c^2*x^2))/2) + log(1 - 1/(c*x))*((b*d*x^2 - b*c^2*d*x^4)/(2*(x + c*x^2)*(c*x - 1)) - (2*b*e*x^2 - 2*b*c^2*e*x^4)/(2*(x + c*x^2)*(c*x - 1)) + (log(1 - c^2*x^2)*(b*e*x^2 - b*c^2*e*x^4))/(2*(x + c*x^2)*(c*x - 1)) - (b*e*log(1/(c*x) + 1))/(2*c)) + a*x*(d - 2*e) + (log(c*x + 1)*(2*a*e + b*d - 2*b*e))/(2*c) - (log(c*x - 1)*(2*a*e - b*d + 2*b*e))/(2*c) + (b*e*log(1/(c*x) + 1)^2)/(4*c) + (b*e*log(1 - 1/(c*x))^2)/(4*c) + (b*e*log(1 - c^2*x^2)^2)/(4*c) + a*e*x*log(1 - c^2*x^2)","B"
275,0,-1,105,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^2,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x^2} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^2, x)","F"
276,0,-1,197,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^4,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x^4} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^4, x)","F"
277,0,-1,256,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^6,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(1-c^2\,x^2\right)\right)}{x^6} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(1 - c^2*x^2)))/x^6, x)","F"
278,0,-1,512,0.000000,"\text{Not used}","int(x*(a + b*acoth(c*x))*(d + e*log(f + g*x^2)),x)","\int x\,\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right) \,d x","Not used",1,"int(x*(a + b*acoth(c*x))*(d + e*log(f + g*x^2)), x)","F"
279,0,-1,546,0.000000,"\text{Not used}","int((a + b*acoth(c*x))*(d + e*log(f + g*x^2)),x)","\int \left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right) \,d x","Not used",1,"int((a + b*acoth(c*x))*(d + e*log(f + g*x^2)), x)","F"
280,0,-1,101,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x} \,d x","Not used",0,"int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x, x)","F"
281,0,-1,560,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x^2,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x^2} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x^2, x)","F"
282,0,-1,712,0.000000,"\text{Not used}","int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x^3,x)","\int \frac{\left(a+b\,\mathrm{acoth}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x^3} \,d x","Not used",1,"int(((a + b*acoth(c*x))*(d + e*log(f + g*x^2)))/x^3, x)","F"
283,0,-1,25,0.000000,"\text{Not used}","int(acoth(exp(x)),x)","\int \mathrm{acoth}\left({\mathrm{e}}^x\right) \,d x","Not used",1,"int(acoth(exp(x)), x)","F"
284,0,-1,51,0.000000,"\text{Not used}","int(x*acoth(exp(x)),x)","\int x\,\mathrm{acoth}\left({\mathrm{e}}^x\right) \,d x","Not used",1,"int(x*acoth(exp(x)), x)","F"
285,0,-1,70,0.000000,"\text{Not used}","int(x^2*acoth(exp(x)),x)","\int x^2\,\mathrm{acoth}\left({\mathrm{e}}^x\right) \,d x","Not used",1,"int(x^2*acoth(exp(x)), x)","F"
286,0,-1,41,0.000000,"\text{Not used}","int(acoth(exp(a + b*x)),x)","\int \mathrm{acoth}\left({\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(acoth(exp(a + b*x)), x)","F"
287,0,-1,83,0.000000,"\text{Not used}","int(x*acoth(exp(a + b*x)),x)","\int x\,\mathrm{acoth}\left({\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(x*acoth(exp(a + b*x)), x)","F"
288,0,-1,119,0.000000,"\text{Not used}","int(x^2*acoth(exp(a + b*x)),x)","\int x^2\,\mathrm{acoth}\left({\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(x^2*acoth(exp(a + b*x)), x)","F"
289,0,-1,168,0.000000,"\text{Not used}","int(acoth(a + b*f^(c + d*x)),x)","\int \mathrm{acoth}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(acoth(a + b*f^(c + d*x)), x)","F"
290,0,-1,216,0.000000,"\text{Not used}","int(x*acoth(a + b*f^(c + d*x)),x)","\int x\,\mathrm{acoth}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(x*acoth(a + b*f^(c + d*x)), x)","F"
291,0,-1,269,0.000000,"\text{Not used}","int(x^2*acoth(a + b*f^(c + d*x)),x)","\int x^2\,\mathrm{acoth}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(x^2*acoth(a + b*f^(c + d*x)), x)","F"
292,1,15,17,1.395355,"\text{Not used}","int(1/((a - a*x^2)*(b - 2*b*acoth(x))),x)","-\frac{\ln\left(2\,\mathrm{acoth}\left(x\right)-1\right)}{2\,a\,b}","Not used",1,"-log(2*acoth(x) - 1)/(2*a*b)","B"
293,1,107,44,1.560637,"\text{Not used}","int(x^3*acoth(a + b*x^4),x)","\frac{x^4\,\ln\left(\frac{b\,x^4+a+1}{b\,x^4+a}\right)}{8}-\frac{x^4\,\ln\left(\frac{b\,x^4+a-1}{b\,x^4+a}\right)}{8}+\frac{\ln\left(b\,x^4+a-1\right)}{8\,b}+\frac{\ln\left(b\,x^4+a+1\right)}{8\,b}-\frac{a\,\ln\left(b\,x^4+a-1\right)}{8\,b}+\frac{a\,\ln\left(b\,x^4+a+1\right)}{8\,b}","Not used",1,"(x^4*log((a + b*x^4 + 1)/(a + b*x^4)))/8 - (x^4*log((a + b*x^4 - 1)/(a + b*x^4)))/8 + log(a + b*x^4 - 1)/(8*b) + log(a + b*x^4 + 1)/(8*b) - (a*log(a + b*x^4 - 1))/(8*b) + (a*log(a + b*x^4 + 1))/(8*b)","B"
294,1,58,47,2.509641,"\text{Not used}","int(x^(n - 1)*acoth(a + b*x^n),x)","\frac{\frac{\ln\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n-1\right)}{2}+a\,\mathrm{acoth}\left(a+b\,x^n\right)}{b\,n}+\frac{x^n\,\mathrm{acoth}\left(a+b\,x^n\right)}{n}","Not used",1,"(log(a^2 + b^2*x^(2*n) + 2*a*b*x^n - 1)/2 + a*acoth(a + b*x^n))/(b*n) + (x^n*acoth(a + b*x^n))/n","B"
295,1,187,107,1.672009,"\text{Not used}","int(exp(c*(a + b*x))*acoth(sinh(a*c + b*c*x)),x)","\frac{\ln\left(6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-2\,\sqrt{2}-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}+1\right)}{2\,b\,c}-\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\ln\left(1-\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}\right)}{2\,b\,c}-\frac{\ln\left(2\,\sqrt{2}-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}-1\right)}{2\,b\,c}+\frac{\ln\left(\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}+1\right)\,{\mathrm{e}}^{a\,c+b\,c\,x}}{2\,b\,c}","Not used",1,"(log(6*2^(1/2)*exp(2*c*(a + b*x)) - 2*2^(1/2) - 8*exp(2*c*(a + b*x)))*(2^(1/2) + 1))/(2*b*c) - (exp(a*c + b*c*x)*log(1 - 1/((exp(b*c*x)*exp(a*c))/2 - (exp(-b*c*x)*exp(-a*c))/2)))/(2*b*c) - (log(2*2^(1/2) - 8*exp(2*c*(a + b*x)) - 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) - 1))/(2*b*c) + (log(1/((exp(b*c*x)*exp(a*c))/2 - (exp(-b*c*x)*exp(-a*c))/2) + 1)*exp(a*c + b*c*x))/(2*b*c)","B"
296,1,119,49,1.830255,"\text{Not used}","int(exp(c*(a + b*x))*acoth(cosh(a*c + b*c*x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}-1\right)}{b\,c}-\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\ln\left(1-\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}\right)}{2\,b\,c}+\frac{\ln\left(\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}+1\right)\,{\mathrm{e}}^{a\,c+b\,c\,x}}{2\,b\,c}","Not used",1,"log(exp(2*b*c*x)*exp(2*a*c) - 1)/(b*c) - (exp(a*c + b*c*x)*log(1 - 1/((exp(b*c*x)*exp(a*c))/2 + (exp(-b*c*x)*exp(-a*c))/2)))/(2*b*c) + (log(1/((exp(b*c*x)*exp(a*c))/2 + (exp(-b*c*x)*exp(-a*c))/2) + 1)*exp(a*c + b*c*x))/(2*b*c)","B"
297,1,28,45,0.103340,"\text{Not used}","int(exp(c*(a + b*x))*acoth(tanh(a*c + b*c*x)),x)","\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\left(\mathrm{acoth}\left(\mathrm{tanh}\left(a\,c+b\,c\,x\right)\right)-1\right)}{b\,c}","Not used",1,"(exp(a*c + b*c*x)*(acoth(tanh(a*c + b*c*x)) - 1))/(b*c)","B"
298,1,28,45,1.205413,"\text{Not used}","int(exp(c*(a + b*x))*acoth(coth(a*c + b*c*x)),x)","\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\left(\mathrm{acoth}\left(\mathrm{coth}\left(a\,c+b\,c\,x\right)\right)-1\right)}{b\,c}","Not used",1,"(exp(a*c + b*c*x)*(acoth(coth(a*c + b*c*x)) - 1))/(b*c)","B"
299,1,111,49,1.436948,"\text{Not used}","int(acoth(1/cosh(a*c + b*c*x))*exp(c*(a + b*x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}-1\right)}{b\,c}-\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,\ln\left(1-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}-\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}\right)}{2\,b\,c}+\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,\ln\left(\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}+1\right)}{2\,b\,c}","Not used",1,"log(exp(2*b*c*x)*exp(2*a*c) - 1)/(b*c) - (exp(b*c*x)*exp(a*c)*log(1 - (exp(-b*c*x)*exp(-a*c))/2 - (exp(b*c*x)*exp(a*c))/2))/(2*b*c) + (exp(b*c*x)*exp(a*c)*log((exp(b*c*x)*exp(a*c))/2 + (exp(-b*c*x)*exp(-a*c))/2 + 1))/(2*b*c)","B"
300,1,179,107,1.603720,"\text{Not used}","int(acoth(1/sinh(a*c + b*c*x))*exp(c*(a + b*x)),x)","\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\ln\left(\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}+1\right)}{2\,b\,c}-\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\ln\left(\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}-\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+1\right)}{2\,b\,c}+\frac{\ln\left(6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-2\,\sqrt{2}-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}+1\right)}{2\,b\,c}-\frac{\ln\left(2\,\sqrt{2}-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}-1\right)}{2\,b\,c}","Not used",1,"(exp(a*c + b*c*x)*log((exp(b*c*x)*exp(a*c))/2 - (exp(-b*c*x)*exp(-a*c))/2 + 1))/(2*b*c) - (exp(a*c + b*c*x)*log((exp(-b*c*x)*exp(-a*c))/2 - (exp(b*c*x)*exp(a*c))/2 + 1))/(2*b*c) + (log(6*2^(1/2)*exp(2*c*(a + b*x)) - 2*2^(1/2) - 8*exp(2*c*(a + b*x)))*(2^(1/2) + 1))/(2*b*c) - (log(2*2^(1/2) - 8*exp(2*c*(a + b*x)) - 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) - 1))/(2*b*c)","B"