1,1,83,97,1.579795,"\text{Not used}","int((b*coth(c + d*x))^(7/2),x)","\frac{b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}-\frac{2\,b^3\,\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{d}-\frac{2\,b\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}-\frac{b^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}\,1{}\mathrm{i}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(b^(7/2)*atan((b*coth(c + d*x))^(1/2)/b^(1/2)))/d - (2*b^3*(b*coth(c + d*x))^(1/2))/d - (2*b*(b*coth(c + d*x))^(5/2))/(5*d) - (b^(7/2)*atan(((b*coth(c + d*x))^(1/2)*1i)/b^(1/2))*1i)/d","B"
2,1,62,78,1.371635,"\text{Not used}","int((b*coth(c + d*x))^(5/2),x)","\frac{b^{5/2}\,\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}-\frac{b^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}-\frac{2\,b\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}","Not used",1,"(b^(5/2)*atanh((b*coth(c + d*x))^(1/2)/b^(1/2)))/d - (b^(5/2)*atan((b*coth(c + d*x))^(1/2)/b^(1/2)))/d - (2*b*(b*coth(c + d*x))^(3/2))/(3*d)","B"
3,1,61,75,1.274941,"\text{Not used}","int((b*coth(c + d*x))^(3/2),x)","\frac{b^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}-\frac{2\,b\,\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{d}+\frac{b^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}","Not used",1,"(b^(3/2)*atan((b*coth(c + d*x))^(1/2)/b^(1/2)))/d - (2*b*(b*coth(c + d*x))^(1/2))/d + (b^(3/2)*atanh((b*coth(c + d*x))^(1/2)/b^(1/2)))/d","B"
4,1,41,58,1.215031,"\text{Not used}","int((b*coth(c + d*x))^(1/2),x)","-\frac{\sqrt{b}\,\left(\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)-\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)\right)}{d}","Not used",1,"-(b^(1/2)*(atan((b*coth(c + d*x))^(1/2)/b^(1/2)) - atanh((b*coth(c + d*x))^(1/2)/b^(1/2))))/d","B"
5,1,38,57,1.294236,"\text{Not used}","int(1/(b*coth(c + d*x))^(1/2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)+\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{\sqrt{b}\,d}","Not used",1,"(atan((b*coth(c + d*x))^(1/2)/b^(1/2)) + atanh((b*coth(c + d*x))^(1/2)/b^(1/2)))/(b^(1/2)*d)","B"
6,1,64,78,1.390291,"\text{Not used}","int(1/(b*coth(c + d*x))^(3/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{3/2}\,d}-\frac{\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{3/2}\,d}-\frac{2}{b\,d\,\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}","Not used",1,"atanh((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(3/2)*d) - atan((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(3/2)*d) - 2/(b*d*(b*coth(c + d*x))^(1/2))","B"
7,1,63,79,1.491220,"\text{Not used}","int(1/(b*coth(c + d*x))^(5/2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{5/2}\,d}-\frac{2}{3\,b\,d\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{3/2}}+\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{5/2}\,d}","Not used",1,"atan((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(5/2)*d) - 2/(3*b*d*(b*coth(c + d*x))^(3/2)) + atanh((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(5/2)*d)","B"
8,1,80,100,1.596304,"\text{Not used}","int(1/(b*coth(c + d*x))^(7/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{7/2}\,d}-\frac{\mathrm{atan}\left(\frac{\sqrt{b\,\mathrm{coth}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{7/2}\,d}-\frac{\frac{2}{5\,b}+\frac{2\,{\mathrm{coth}\left(c+d\,x\right)}^2}{b}}{d\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{5/2}}","Not used",1,"atanh((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(7/2)*d) - atan((b*coth(c + d*x))^(1/2)/b^(1/2))/(b^(7/2)*d) - (2/(5*b) + (2*coth(c + d*x)^2)/b)/(d*(b*coth(c + d*x))^(5/2))","B"
9,1,249,236,1.880946,"\text{Not used}","int((b*coth(c + d*x))^(4/3),x)","-\frac{3\,b\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d}-\frac{b^{4/3}\,\mathrm{atan}\left(\frac{{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}}{b^{1/3}}\right)\,1{}\mathrm{i}}{d}-\frac{b^{4/3}\,\ln\left(\frac{486\,b^{37/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d^4}-\frac{486\,b^{12}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{b^{4/3}\,\ln\left(\frac{486\,b^{37/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d^4}-\frac{486\,b^{12}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{b^{4/3}\,\ln\left(\frac{972\,b^{37/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d^4}+\frac{486\,b^{12}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}+\frac{b^{4/3}\,\ln\left(\frac{972\,b^{37/3}\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d^4}+\frac{486\,b^{12}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"(b^(4/3)*log((972*b^(37/3)*((3^(1/2)*1i)/4 - 1/4))/d^4 + (486*b^12*(b*coth(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/4 - 1/4))/d - (b^(4/3)*atan(((b*coth(c + d*x))^(1/3)*1i)/b^(1/3))*1i)/d - (b^(4/3)*log((486*b^(37/3)*((3^(1/2)*1i)/2 - 1/2))/d^4 - (486*b^12*(b*coth(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 - 1/2))/(2*d) - (b^(4/3)*log((486*b^(37/3)*((3^(1/2)*1i)/2 + 1/2))/d^4 - (486*b^12*(b*coth(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2))/(2*d) - (3*b*(b*coth(c + d*x))^(1/3))/d + (b^(4/3)*log((972*b^(37/3)*((3^(1/2)*1i)/4 + 1/4))/d^4 + (486*b^12*(b*coth(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/4 + 1/4))/d","B"
10,1,233,218,1.499223,"\text{Not used}","int((b*coth(c + d*x))^(2/3),x)","-\frac{b^{2/3}\,\mathrm{atan}\left(\frac{{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}}{b^{1/3}}\right)\,1{}\mathrm{i}}{d}-\frac{b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}-\frac{972\,b^{26/3}\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}-\frac{972\,b^{26/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}+\frac{1944\,b^{26/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}+\frac{b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}+\frac{1944\,b^{26/3}\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"(b^(2/3)*log((972*b^9)/d^3 + (1944*b^(26/3)*((3^(1/2)*1i)/4 - 1/4)*(b*coth(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/4 - 1/4))/d - (b^(2/3)*log((972*b^9)/d^3 - (972*b^(26/3)*((3^(1/2)*1i)/2 - 1/2)*(b*coth(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/2 - 1/2))/(2*d) - (b^(2/3)*log((972*b^9)/d^3 - (972*b^(26/3)*((3^(1/2)*1i)/2 + 1/2)*(b*coth(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/2 + 1/2))/(2*d) - (b^(2/3)*atan(((b*coth(c + d*x))^(1/3)*1i)/b^(1/3))*1i)/d + (b^(2/3)*log((972*b^9)/d^3 + (1944*b^(26/3)*((3^(1/2)*1i)/4 + 1/4)*(b*coth(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/4 + 1/4))/d","B"
11,1,146,132,1.515840,"\text{Not used}","int((b*coth(c + d*x))^(1/3),x)","\frac{{\left(-b\right)}^{1/3}\,\ln\left(81\,{\left(-b\right)}^{16/3}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}-81\,b^6\right)}{2\,d}-\frac{{\left(-b\right)}^{1/3}\,\ln\left(-\frac{81\,b^6}{d^4}-\frac{81\,{\left(-b\right)}^{16/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(-\frac{81\,b^6}{d^4}+\frac{162\,{\left(-b\right)}^{16/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}}{d^4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"((-b)^(1/3)*log(81*(-b)^(16/3)*(b*coth(c + d*x))^(2/3) - 81*b^6))/(2*d) - ((-b)^(1/3)*log(- (81*b^6)/d^4 - (81*(-b)^(16/3)*((3^(1/2)*1i)/2 + 1/2)*(b*coth(c + d*x))^(2/3))/d^4)*((3^(1/2)*1i)/2 + 1/2))/(2*d) + ((-b)^(1/3)*log((162*(-b)^(16/3)*((3^(1/2)*1i)/4 - 1/4)*(b*coth(c + d*x))^(2/3))/d^4 - (81*b^6)/d^4)*((3^(1/2)*1i)/4 - 1/4))/d","B"
12,1,147,132,1.651954,"\text{Not used}","int(1/(b*coth(c + d*x))^(1/3),x)","\frac{\ln\left(162\,{\left(-b\right)}^{11/3}+162\,b^3\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}\right)}{2\,{\left(-b\right)}^{1/3}\,d}+\frac{\ln\left(\frac{81\,{\left(-b\right)}^{11/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^3}+\frac{162\,b^3\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}}{d^3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,{\left(-b\right)}^{1/3}\,d}-\frac{\ln\left(\frac{81\,{\left(-b\right)}^{11/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^3}-\frac{162\,b^3\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{2/3}}{d^3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,{\left(-b\right)}^{1/3}\,d}","Not used",1,"log(162*(-b)^(11/3) + 162*b^3*(b*coth(c + d*x))^(2/3))/(2*(-b)^(1/3)*d) + (log((81*(-b)^(11/3)*(3^(1/2)*1i - 1))/d^3 + (162*b^3*(b*coth(c + d*x))^(2/3))/d^3)*(3^(1/2)*1i - 1))/(4*(-b)^(1/3)*d) - (log((81*(-b)^(11/3)*(3^(1/2)*1i + 1))/d^3 - (162*b^3*(b*coth(c + d*x))^(2/3))/d^3)*(3^(1/2)*1i + 1))/(4*(-b)^(1/3)*d)","B"
13,1,197,218,1.386225,"\text{Not used}","int(1/(b*coth(c + d*x))^(2/3),x)","\frac{\mathrm{atanh}\left(\frac{{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{b^{1/3}}\right)}{b^{2/3}\,d}-\frac{\mathrm{atan}\left(\frac{b^{10/3}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,243{}\mathrm{i}}{-243\,b^{11/3}+\sqrt{3}\,b^{11/3}\,243{}\mathrm{i}}-\frac{243\,\sqrt{3}\,b^{10/3}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{-243\,b^{11/3}+\sqrt{3}\,b^{11/3}\,243{}\mathrm{i}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b^{2/3}\,d}-\frac{\mathrm{atan}\left(\frac{b^{10/3}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,243{}\mathrm{i}}{243\,b^{11/3}+\sqrt{3}\,b^{11/3}\,243{}\mathrm{i}}+\frac{243\,\sqrt{3}\,b^{10/3}\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}{243\,b^{11/3}+\sqrt{3}\,b^{11/3}\,243{}\mathrm{i}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b^{2/3}\,d}","Not used",1,"atanh((b*coth(c + d*x))^(1/3)/b^(1/3))/(b^(2/3)*d) - (atan((b^(10/3)*(b*coth(c + d*x))^(1/3)*243i)/(3^(1/2)*b^(11/3)*243i - 243*b^(11/3)) - (243*3^(1/2)*b^(10/3)*(b*coth(c + d*x))^(1/3))/(3^(1/2)*b^(11/3)*243i - 243*b^(11/3)))*(3^(1/2)*1i + 1)*1i)/(2*b^(2/3)*d) - (atan((b^(10/3)*(b*coth(c + d*x))^(1/3)*243i)/(3^(1/2)*b^(11/3)*243i + 243*b^(11/3)) + (243*3^(1/2)*b^(10/3)*(b*coth(c + d*x))^(1/3))/(3^(1/2)*b^(11/3)*243i + 243*b^(11/3)))*(3^(1/2)*1i - 1)*1i)/(2*b^(2/3)*d)","B"
14,1,165,238,1.418588,"\text{Not used}","int(1/(b*coth(c + d*x))^(4/3),x)","-\frac{3}{b\,d\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}}-\frac{\mathrm{atan}\left(\frac{{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}}{b^{1/3}}\right)\,1{}\mathrm{i}}{b^{4/3}\,d}-\frac{\mathrm{atan}\left(\frac{b^9\,d^4\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,486{}\mathrm{i}}{243\,b^{28/3}\,d^4-\sqrt{3}\,b^{28/3}\,d^4\,243{}\mathrm{i}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b^{4/3}\,d}+\frac{\mathrm{atan}\left(\frac{b^9\,d^4\,{\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^{1/3}\,486{}\mathrm{i}}{243\,b^{28/3}\,d^4+\sqrt{3}\,b^{28/3}\,d^4\,243{}\mathrm{i}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b^{4/3}\,d}","Not used",1,"(atan((b^9*d^4*(b*coth(c + d*x))^(1/3)*486i)/(243*b^(28/3)*d^4 + 3^(1/2)*b^(28/3)*d^4*243i))*(3^(1/2)*1i - 1)*1i)/(2*b^(4/3)*d) - (atan(((b*coth(c + d*x))^(1/3)*1i)/b^(1/3))*1i)/(b^(4/3)*d) - (atan((b^9*d^4*(b*coth(c + d*x))^(1/3)*486i)/(243*b^(28/3)*d^4 - 3^(1/2)*b^(28/3)*d^4*243i))*(3^(1/2)*1i + 1)*1i)/(2*b^(4/3)*d) - 3/(b*d*(b*coth(c + d*x))^(1/3))","B"
15,0,-1,43,0.000000,"\text{Not used}","int(coth(a + b*x)^n,x)","\int {\mathrm{coth}\left(a+b\,x\right)}^n \,d x","Not used",1,"int(coth(a + b*x)^n, x)","F"
16,0,-1,48,0.000000,"\text{Not used}","int((b*coth(c + d*x))^n,x)","\int {\left(b\,\mathrm{coth}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((b*coth(c + d*x))^n, x)","F"
17,0,-1,57,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^n,x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^n \,d x","Not used",1,"int((b*coth(c + d*x)^2)^n, x)","F"
18,0,-1,61,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int((b*coth(c + d*x)^2)^(3/2), x)","F"
19,0,-1,31,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((b*coth(c + d*x)^2)^(1/2), x)","F"
20,1,30,31,1.263794,"\text{Not used}","int(1/(b*coth(c + d*x)^2)^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{b}\,\mathrm{coth}\left(c+d\,x\right)}{\sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^2}}\right)}{\sqrt{b}\,d}","Not used",1,"atanh((b^(1/2)*coth(c + d*x))/(b*coth(c + d*x)^2)^(1/2))/(b^(1/2)*d)","B"
21,0,-1,65,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^2)^(3/2), x)","F"
22,0,-1,297,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^(4/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{4/3} \,d x","Not used",1,"int((b*coth(c + d*x)^2)^(4/3), x)","F"
23,0,-1,289,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^(2/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{2/3} \,d x","Not used",1,"int((b*coth(c + d*x)^2)^(2/3), x)","F"
24,0,-1,264,0.000000,"\text{Not used}","int((b*coth(c + d*x)^2)^(1/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{1/3} \,d x","Not used",1,"int((b*coth(c + d*x)^2)^(1/3), x)","F"
25,0,-1,264,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^2)^(1/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^2)^(1/3), x)","F"
26,0,-1,289,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^2)^(2/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{2/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^2)^(2/3), x)","F"
27,0,-1,309,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^2)^(4/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^2\right)}^{4/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^2)^(4/3), x)","F"
28,0,-1,55,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^n,x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^n \,d x","Not used",1,"int((b*coth(c + d*x)^3)^n, x)","F"
29,0,-1,134,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^(3/2),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{3/2} \,d x","Not used",1,"int((b*coth(c + d*x)^3)^(3/2), x)","F"
30,0,-1,104,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^(1/2),x)","\int \sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((b*coth(c + d*x)^3)^(1/2), x)","F"
31,0,-1,105,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^3)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^3)^(1/2), x)","F"
32,0,-1,141,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^3)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^3)^(3/2), x)","F"
33,0,-1,74,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^(4/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{4/3} \,d x","Not used",1,"int((b*coth(c + d*x)^3)^(4/3), x)","F"
34,0,-1,50,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^(2/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{2/3} \,d x","Not used",1,"int((b*coth(c + d*x)^3)^(2/3), x)","F"
35,0,-1,31,0.000000,"\text{Not used}","int((b*coth(c + d*x)^3)^(1/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{1/3} \,d x","Not used",1,"int((b*coth(c + d*x)^3)^(1/3), x)","F"
36,0,-1,31,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^3)^(1/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^3)^(1/3), x)","F"
37,0,-1,50,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^3)^(2/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{2/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^3)^(2/3), x)","F"
38,0,-1,80,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^3)^(4/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^3\right)}^{4/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^3)^(4/3), x)","F"
39,0,-1,57,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^n,x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^n \,d x","Not used",1,"int((b*coth(c + d*x)^4)^n, x)","F"
40,0,-1,110,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^(3/2),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{3/2} \,d x","Not used",1,"int((b*coth(c + d*x)^4)^(3/2), x)","F"
41,0,-1,50,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^(1/2),x)","\int \sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^4} \,d x","Not used",1,"int((b*coth(c + d*x)^4)^(1/2), x)","F"
42,0,-1,50,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^4)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^4}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^4)^(1/2), x)","F"
43,0,-1,118,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^4)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^4)^(3/2), x)","F"
44,0,-1,353,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^(4/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{4/3} \,d x","Not used",1,"int((b*coth(c + d*x)^4)^(4/3), x)","F"
45,0,-1,291,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^(2/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{2/3} \,d x","Not used",1,"int((b*coth(c + d*x)^4)^(2/3), x)","F"
46,0,-1,289,0.000000,"\text{Not used}","int((b*coth(c + d*x)^4)^(1/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{1/3} \,d x","Not used",1,"int((b*coth(c + d*x)^4)^(1/3), x)","F"
47,0,-1,289,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^4)^(1/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^4)^(1/3), x)","F"
48,0,-1,291,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^4)^(2/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{2/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^4)^(2/3), x)","F"
49,0,-1,369,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^4)^(4/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^4\right)}^{4/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^4)^(4/3), x)","F"
50,0,-1,57,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^n,x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^n \,d x","Not used",1,"int((b*coth(c + d*x)^m)^n, x)","F"
51,0,-1,63,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^(3/2),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{3/2} \,d x","Not used",1,"int((b*coth(c + d*x)^m)^(3/2), x)","F"
52,0,-1,54,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^(1/2),x)","\int \sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^m} \,d x","Not used",1,"int((b*coth(c + d*x)^m)^(1/2), x)","F"
53,0,-1,60,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^m)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{coth}\left(c+d\,x\right)}^m}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^m)^(1/2), x)","F"
54,0,-1,69,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^m)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^m)^(3/2), x)","F"
55,0,-1,65,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^(4/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{4/3} \,d x","Not used",1,"int((b*coth(c + d*x)^m)^(4/3), x)","F"
56,0,-1,60,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^(2/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{2/3} \,d x","Not used",1,"int((b*coth(c + d*x)^m)^(2/3), x)","F"
57,0,-1,54,0.000000,"\text{Not used}","int((b*coth(c + d*x)^m)^(1/3),x)","\int {\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{1/3} \,d x","Not used",1,"int((b*coth(c + d*x)^m)^(1/3), x)","F"
58,0,-1,60,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^m)^(1/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^m)^(1/3), x)","F"
59,0,-1,60,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^m)^(2/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{2/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^m)^(2/3), x)","F"
60,0,-1,69,0.000000,"\text{Not used}","int(1/(b*coth(c + d*x)^m)^(4/3),x)","\int \frac{1}{{\left(b\,{\mathrm{coth}\left(c+d\,x\right)}^m\right)}^{4/3}} \,d x","Not used",1,"int(1/(b*coth(c + d*x)^m)^(4/3), x)","F"
61,1,88,41,1.125976,"\text{Not used}","int((coth(x) + 1)^5,x)","16\,\ln\left({\mathrm{e}}^{2\,x}-1\right)-\frac{64}{3\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}-\frac{48}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{4}{6\,{\mathrm{e}}^{4\,x}-4\,{\mathrm{e}}^{2\,x}-4\,{\mathrm{e}}^{6\,x}+{\mathrm{e}}^{8\,x}+1}-\frac{64}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"16*log(exp(2*x) - 1) - 64/(3*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) - 48/(exp(4*x) - 2*exp(2*x) + 1) - 4/(6*exp(4*x) - 4*exp(2*x) - 4*exp(6*x) + exp(8*x) + 1) - 64/(exp(2*x) - 1)","B"
62,1,60,31,1.143754,"\text{Not used}","int((coth(x) + 1)^4,x)","8\,\ln\left({\mathrm{e}}^{2\,x}-1\right)-\frac{8}{3\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}-\frac{12}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{24}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"8*log(exp(2*x) - 1) - 8/(3*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) - 12/(exp(4*x) - 2*exp(2*x) + 1) - 24/(exp(2*x) - 1)","B"
63,1,36,23,0.041058,"\text{Not used}","int((coth(x) + 1)^3,x)","4\,\ln\left({\mathrm{e}}^{2\,x}-1\right)-\frac{2}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}-\frac{8}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"4*log(exp(2*x) - 1) - 2/(exp(4*x) - 2*exp(2*x) + 1) - 8/(exp(2*x) - 1)","B"
64,1,20,13,1.143202,"\text{Not used}","int((coth(x) + 1)^2,x)","2\,\ln\left({\mathrm{e}}^{2\,x}-1\right)-\frac{2}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"2*log(exp(2*x) - 1) - 2/(exp(2*x) - 1)","B"
65,1,14,16,0.051320,"\text{Not used}","int(1/(coth(x) + 1),x)","\frac{x}{2}-\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 - 1/(2*(coth(x) + 1))","B"
66,1,16,26,0.045569,"\text{Not used}","int(1/(coth(x) + 1)^2,x)","\frac{x}{4}+\frac{{\mathrm{e}}^{-2\,x}}{4}-\frac{{\mathrm{e}}^{-4\,x}}{16}","Not used",1,"x/4 + exp(-2*x)/4 - exp(-4*x)/16","B"
67,1,22,36,0.056117,"\text{Not used}","int(1/(coth(x) + 1)^3,x)","\frac{x}{8}+\frac{3\,{\mathrm{e}}^{-2\,x}}{16}-\frac{3\,{\mathrm{e}}^{-4\,x}}{32}+\frac{{\mathrm{e}}^{-6\,x}}{48}","Not used",1,"x/8 + (3*exp(-2*x))/16 - (3*exp(-4*x))/32 + exp(-6*x)/48","B"
68,1,28,46,1.144515,"\text{Not used}","int(1/(coth(x) + 1)^4,x)","\frac{x}{16}+\frac{{\mathrm{e}}^{-2\,x}}{8}-\frac{3\,{\mathrm{e}}^{-4\,x}}{32}+\frac{{\mathrm{e}}^{-6\,x}}{24}-\frac{{\mathrm{e}}^{-8\,x}}{128}","Not used",1,"x/16 + exp(-2*x)/8 - (3*exp(-4*x))/32 + exp(-6*x)/24 - exp(-8*x)/128","B"
69,1,34,56,1.148856,"\text{Not used}","int(1/(coth(x) + 1)^5,x)","\frac{x}{32}+\frac{5\,{\mathrm{e}}^{-2\,x}}{64}-\frac{5\,{\mathrm{e}}^{-4\,x}}{64}+\frac{5\,{\mathrm{e}}^{-6\,x}}{96}-\frac{5\,{\mathrm{e}}^{-8\,x}}{256}+\frac{{\mathrm{e}}^{-10\,x}}{320}","Not used",1,"x/32 + (5*exp(-2*x))/64 - (5*exp(-4*x))/64 + (5*exp(-6*x))/96 - (5*exp(-8*x))/256 + exp(-10*x)/320","B"
70,1,44,57,1.265434,"\text{Not used}","int((coth(x) + 1)^(7/2),x)","-8\,\sqrt{\mathrm{coth}\left(x\right)+1}-\frac{4\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}{3}-\frac{2\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{5/2}}{5}-\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}\,1{}\mathrm{i}}{2}\right)\,8{}\mathrm{i}","Not used",1,"- 2^(1/2)*atan((2^(1/2)*(coth(x) + 1)^(1/2)*1i)/2)*8i - 8*(coth(x) + 1)^(1/2) - (4*(coth(x) + 1)^(3/2))/3 - (2*(coth(x) + 1)^(5/2))/5","B"
71,1,54,45,1.194707,"\text{Not used}","int((coth(x) + 1)^(5/2),x)","\sqrt{8}\,\ln\left(-2\,\sqrt{8}\,\sqrt{\mathrm{coth}\left(x\right)+1}-8\right)-\frac{2\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}{3}-2\,\sqrt{2}\,\ln\left(4\,\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}-8\right)-4\,\sqrt{\mathrm{coth}\left(x\right)+1}","Not used",1,"8^(1/2)*log(- 2*8^(1/2)*(coth(x) + 1)^(1/2) - 8) - (2*(coth(x) + 1)^(3/2))/3 - 2*2^(1/2)*log(4*2^(1/2)*(coth(x) + 1)^(1/2) - 8) - 4*(coth(x) + 1)^(1/2)","B"
72,1,26,33,1.185086,"\text{Not used}","int((coth(x) + 1)^(3/2),x)","2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)-2\,\sqrt{\mathrm{coth}\left(x\right)+1}","Not used",1,"2*2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2) - 2*(coth(x) + 1)^(1/2)","B"
73,1,16,21,1.203671,"\text{Not used}","int((coth(x) + 1)^(1/2),x)","\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)","Not used",1,"2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2)","B"
74,1,26,32,1.243086,"\text{Not used}","int(1/(coth(x) + 1)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{2}-\frac{1}{\sqrt{\mathrm{coth}\left(x\right)+1}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/2 - 1/(coth(x) + 1)^(1/2)","B"
75,1,32,49,1.200097,"\text{Not used}","int(1/(coth(x) + 1)^(3/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{4}-\frac{\frac{\mathrm{coth}\left(x\right)}{2}+\frac{5}{6}}{{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/4 - (coth(x)/2 + 5/6)/(coth(x) + 1)^(3/2)","B"
76,1,40,61,1.199502,"\text{Not used}","int(1/(coth(x) + 1)^(5/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{8}-\frac{\frac{\mathrm{coth}\left(x\right)}{6}+\frac{{\left(\mathrm{coth}\left(x\right)+1\right)}^2}{4}+\frac{11}{30}}{{\left(\mathrm{coth}\left(x\right)+1\right)}^{5/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/8 - (coth(x)/6 + (coth(x) + 1)^2/4 + 11/30)/(coth(x) + 1)^(5/2)","B"
77,1,244,142,1.282110,"\text{Not used}","int((a + b*coth(c + d*x))^5,x)","x\,{\left(a-b\right)}^5-\frac{4\,\left(5\,a^3\,b^2+5\,a^2\,b^3+5\,a\,b^4+b^5\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(5\,a^4\,b+10\,a^2\,b^3+b^5\right)}{d}-\frac{4\,\left(5\,a^2\,b^3+5\,a\,b^4+2\,b^5\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}-\frac{4\,b^5}{d\,\left(6\,{\mathrm{e}}^{4\,c+4\,d\,x}-4\,{\mathrm{e}}^{2\,c+2\,d\,x}-4\,{\mathrm{e}}^{6\,c+6\,d\,x}+{\mathrm{e}}^{8\,c+8\,d\,x}+1\right)}-\frac{8\,\left(3\,b^5+5\,a\,b^4\right)}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}","Not used",1,"x*(a - b)^5 - (4*(5*a*b^4 + b^5 + 5*a^2*b^3 + 5*a^3*b^2))/(d*(exp(2*c + 2*d*x) - 1)) + (log(exp(2*c)*exp(2*d*x) - 1)*(5*a^4*b + b^5 + 10*a^2*b^3))/d - (4*(5*a*b^4 + 2*b^5 + 5*a^2*b^3))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) - (4*b^5)/(d*(6*exp(4*c + 4*d*x) - 4*exp(2*c + 2*d*x) - 4*exp(6*c + 6*d*x) + exp(8*c + 8*d*x) + 1)) - (8*(5*a*b^4 + 3*b^5))/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1))","B"
78,1,158,101,1.238034,"\text{Not used}","int((a + b*coth(c + d*x))^4,x)","x\,{\left(a-b\right)}^4-\frac{4\,\left(3\,a^2\,b^2+2\,a\,b^3+b^4\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{4\,\left(b^4+2\,a\,b^3\right)}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(4\,a^3\,b+4\,a\,b^3\right)}{d}-\frac{8\,b^4}{3\,d\,\left(3\,{\mathrm{e}}^{2\,c+2\,d\,x}-3\,{\mathrm{e}}^{4\,c+4\,d\,x}+{\mathrm{e}}^{6\,c+6\,d\,x}-1\right)}","Not used",1,"x*(a - b)^4 - (4*(2*a*b^3 + b^4 + 3*a^2*b^2))/(d*(exp(2*c + 2*d*x) - 1)) - (4*(2*a*b^3 + b^4))/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (log(exp(2*c)*exp(2*d*x) - 1)*(4*a*b^3 + 4*a^3*b))/d - (8*b^4)/(3*d*(3*exp(2*c + 2*d*x) - 3*exp(4*c + 4*d*x) + exp(6*c + 6*d*x) - 1))","B"
79,1,97,69,0.109051,"\text{Not used}","int((a + b*coth(c + d*x))^3,x)","x\,{\left(a-b\right)}^3-\frac{2\,\left(b^3+3\,a\,b^2\right)}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}-\frac{2\,b^3}{d\,\left({\mathrm{e}}^{4\,c+4\,d\,x}-2\,{\mathrm{e}}^{2\,c+2\,d\,x}+1\right)}+\frac{\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)\,\left(3\,a^2\,b+b^3\right)}{d}","Not used",1,"x*(a - b)^3 - (2*(3*a*b^2 + b^3))/(d*(exp(2*c + 2*d*x) - 1)) - (2*b^3)/(d*(exp(4*c + 4*d*x) - 2*exp(2*c + 2*d*x) + 1)) + (log(exp(2*c)*exp(2*d*x) - 1)*(3*a^2*b + b^3))/d","B"
80,1,51,38,0.103746,"\text{Not used}","int((a + b*coth(c + d*x))^2,x)","x\,{\left(a-b\right)}^2-\frac{2\,b^2}{d\,\left({\mathrm{e}}^{2\,c+2\,d\,x}-1\right)}+\frac{2\,a\,b\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}-1\right)}{d}","Not used",1,"x*(a - b)^2 - (2*b^2)/(d*(exp(2*c + 2*d*x) - 1)) + (2*a*b*log(exp(2*c)*exp(2*d*x) - 1))/d","B"
81,1,55,50,1.224521,"\text{Not used}","int(1/(a + b*coth(c + d*x)),x)","\frac{x}{a-b}-\frac{b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)}{a^2\,d-b^2\,d}","Not used",1,"x/(a - b) - (b*log(b - a + a*exp(2*c)*exp(2*d*x) + b*exp(2*c)*exp(2*d*x)))/(a^2*d - b^2*d)","B"
82,1,104,85,1.300396,"\text{Not used}","int(1/(a + b*coth(c + d*x))^2,x)","\frac{x}{{\left(a-b\right)}^2}-\frac{2\,a\,b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)}{d\,a^4-2\,d\,a^2\,b^2+d\,b^4}-\frac{2\,b^2}{d\,{\left(a+b\right)}^2\,\left(a-b\right)\,\left(b-a+{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\right)}","Not used",1,"x/(a - b)^2 - (2*a*b*log(b - a + a*exp(2*c)*exp(2*d*x) + b*exp(2*c)*exp(2*d*x)))/(a^4*d + b^4*d - 2*a^2*b^2*d) - (2*b^2)/(d*(a + b)^2*(a - b)*(b - a + exp(2*c + 2*d*x)*(a + b)))","B"
83,1,195,129,1.398806,"\text{Not used}","int(1/(a + b*coth(c + d*x))^3,x)","\frac{x}{{\left(a-b\right)}^3}-\frac{\ln\left(b-a+a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(3\,a^2\,b+b^3\right)}{d\,a^6-3\,d\,a^4\,b^2+3\,d\,a^2\,b^4-d\,b^6}+\frac{2\,b^3}{d\,{\left(a+b\right)}^3\,\left(a-b\right)\,\left({\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2+{\left(a-b\right)}^2-2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\,\left(a-b\right)\right)}-\frac{2\,\left(3\,a\,b^2-b^3\right)}{d\,{\left(a+b\right)}^3\,{\left(a-b\right)}^2\,\left(b-a+{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\right)}","Not used",1,"x/(a - b)^3 - (log(b - a + a*exp(2*c)*exp(2*d*x) + b*exp(2*c)*exp(2*d*x))*(3*a^2*b + b^3))/(a^6*d - b^6*d + 3*a^2*b^4*d - 3*a^4*b^2*d) + (2*b^3)/(d*(a + b)^3*(a - b)*(exp(4*c + 4*d*x)*(a + b)^2 + (a - b)^2 - 2*exp(2*c + 2*d*x)*(a + b)*(a - b))) - (2*(3*a*b^2 - b^3))/(d*(a + b)^3*(a - b)^2*(b - a + exp(2*c + 2*d*x)*(a + b)))","B"
84,1,310,169,1.385935,"\text{Not used}","int(1/(a + b*coth(c + d*x))^4,x)","\frac{x}{{\left(a-b\right)}^4}-\frac{\ln\left(b-a+a\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+b\,{\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}\right)\,\left(4\,a^3\,b+4\,a\,b^3\right)}{d\,a^8-4\,d\,a^6\,b^2+6\,d\,a^4\,b^4-4\,d\,a^2\,b^6+d\,b^8}-\frac{4\,\left(3\,a^2\,b^2-2\,a\,b^3+b^4\right)}{d\,{\left(a+b\right)}^4\,{\left(a-b\right)}^3\,\left(b-a+{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\right)}-\frac{8\,b^4}{3\,d\,{\left(a+b\right)}^4\,\left(a-b\right)\,\left({\mathrm{e}}^{6\,c+6\,d\,x}\,{\left(a+b\right)}^3-{\left(a-b\right)}^3+3\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\,{\left(a-b\right)}^2-3\,{\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2\,\left(a-b\right)\right)}+\frac{4\,\left(2\,a\,b^3-b^4\right)}{d\,{\left(a+b\right)}^4\,{\left(a-b\right)}^2\,\left({\mathrm{e}}^{4\,c+4\,d\,x}\,{\left(a+b\right)}^2+{\left(a-b\right)}^2-2\,{\mathrm{e}}^{2\,c+2\,d\,x}\,\left(a+b\right)\,\left(a-b\right)\right)}","Not used",1,"x/(a - b)^4 - (log(b - a + a*exp(2*c)*exp(2*d*x) + b*exp(2*c)*exp(2*d*x))*(4*a*b^3 + 4*a^3*b))/(a^8*d + b^8*d - 4*a^2*b^6*d + 6*a^4*b^4*d - 4*a^6*b^2*d) - (4*(b^4 - 2*a*b^3 + 3*a^2*b^2))/(d*(a + b)^4*(a - b)^3*(b - a + exp(2*c + 2*d*x)*(a + b))) - (8*b^4)/(3*d*(a + b)^4*(a - b)*(exp(6*c + 6*d*x)*(a + b)^3 - (a - b)^3 + 3*exp(2*c + 2*d*x)*(a + b)*(a - b)^2 - 3*exp(4*c + 4*d*x)*(a + b)^2*(a - b))) + (4*(2*a*b^3 - b^4))/(d*(a + b)^4*(a - b)^2*(exp(4*c + 4*d*x)*(a + b)^2 + (a - b)^2 - 2*exp(2*c + 2*d*x)*(a + b)*(a - b)))","B"
85,1,22,31,0.044511,"\text{Not used}","int(1/(6*coth(c + d*x) + 4),x)","\frac{3\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+\frac{1}{5}\right)}{10\,d}-\frac{x}{2}","Not used",1,"(3*log(exp(2*c)*exp(2*d*x) + 1/5))/(10*d) - x/2","B"
86,1,22,31,0.043823,"\text{Not used}","int(-1/(6*coth(c + d*x) - 4),x)","\frac{x}{10}-\frac{3\,\ln\left({\mathrm{e}}^{2\,c}\,{\mathrm{e}}^{2\,d\,x}+5\right)}{10\,d}","Not used",1,"x/10 - (3*log(exp(2*c)*exp(2*d*x) + 5))/(10*d)","B"
87,1,151,74,1.407783,"\text{Not used}","int((a + b*coth(c + d*x))^(1/2),x)","\frac{\mathrm{atan}\left(\frac{b^2\,\sqrt{a-b}\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}\,1{}\mathrm{i}+a\,b\,\sqrt{a-b}\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}\,1{}\mathrm{i}}{a^2\,b-b^3}\right)\,\sqrt{a-b}\,1{}\mathrm{i}}{d}+\frac{\mathrm{atan}\left(\frac{b^2\,\sqrt{a+b}\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}\,1{}\mathrm{i}-a\,b\,\sqrt{a+b}\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}\,1{}\mathrm{i}}{a^2\,b-b^3}\right)\,\sqrt{a+b}\,1{}\mathrm{i}}{d}","Not used",1,"(atan((b^2*(a - b)^(1/2)*(a + b*coth(c + d*x))^(1/2)*1i + a*b*(a - b)^(1/2)*(a + b*coth(c + d*x))^(1/2)*1i)/(a^2*b - b^3))*(a - b)^(1/2)*1i)/d + (atan((b^2*(a + b)^(1/2)*(a + b*coth(c + d*x))^(1/2)*1i - a*b*(a + b)^(1/2)*(a + b*coth(c + d*x))^(1/2)*1i)/(a^2*b - b^3))*(a + b)^(1/2)*1i)/d","B"
88,1,242,74,1.470885,"\text{Not used}","int(1/(a + b*coth(c + d*x))^(1/2),x)","\frac{\mathrm{atanh}\left(\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}}{\left(\frac{16\,b^4\,d^3}{a\,d^3-b\,d^3}-\frac{16\,a\,b^3\,d^3}{a\,d^3-b\,d^3}\right)\,\sqrt{a-b}}+\frac{\left(a\,d^3-b\,d^3\right)\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}}{b\,d^3\,\sqrt{a-b}}\right)}{d\,\sqrt{a-b}}-\frac{\mathrm{atanh}\left(\frac{16\,a\,b^2\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}}{\left(\frac{16\,b^4\,d^3}{a\,d^3+b\,d^3}+\frac{16\,a\,b^3\,d^3}{a\,d^3+b\,d^3}\right)\,\sqrt{a+b}}-\frac{\left(a\,d^3+b\,d^3\right)\,\sqrt{a+b\,\mathrm{coth}\left(c+d\,x\right)}}{b\,d^3\,\sqrt{a+b}}\right)}{d\,\sqrt{a+b}}","Not used",1,"atanh((16*a*b^2*(a + b*coth(c + d*x))^(1/2))/(((16*b^4*d^3)/(a*d^3 - b*d^3) - (16*a*b^3*d^3)/(a*d^3 - b*d^3))*(a - b)^(1/2)) + ((a*d^3 - b*d^3)*(a + b*coth(c + d*x))^(1/2))/(b*d^3*(a - b)^(1/2)))/(d*(a - b)^(1/2)) - atanh((16*a*b^2*(a + b*coth(c + d*x))^(1/2))/(((16*b^4*d^3)/(a*d^3 + b*d^3) + (16*a*b^3*d^3)/(a*d^3 + b*d^3))*(a + b)^(1/2)) - ((a*d^3 + b*d^3)*(a + b*coth(c + d*x))^(1/2))/(b*d^3*(a + b)^(1/2)))/(d*(a + b)^(1/2))","B"
89,1,34,60,1.377457,"\text{Not used}","int(sinh(x)^4/(coth(x) + 1),x)","\frac{5\,x}{16}+\frac{5\,{\mathrm{e}}^{-2\,x}}{32}-\frac{5\,{\mathrm{e}}^{2\,x}}{64}-\frac{5\,{\mathrm{e}}^{-4\,x}}{128}+\frac{{\mathrm{e}}^{4\,x}}{128}+\frac{{\mathrm{e}}^{-6\,x}}{192}","Not used",1,"(5*x)/16 + (5*exp(-2*x))/32 - (5*exp(2*x))/64 - (5*exp(-4*x))/128 + exp(4*x)/128 + exp(-6*x)/192","B"
90,1,29,29,1.267345,"\text{Not used}","int(sinh(x)^3/(coth(x) + 1),x)","\frac{{\mathrm{e}}^{-3\,x}}{12}-\frac{3\,{\mathrm{e}}^{-x}}{8}+\frac{{\mathrm{e}}^{3\,x}}{48}-\frac{{\mathrm{e}}^{-5\,x}}{80}-\frac{{\mathrm{e}}^x}{4}","Not used",1,"exp(-3*x)/12 - (3*exp(-x))/8 + exp(3*x)/48 - exp(-5*x)/80 - exp(x)/4","B"
91,1,22,38,1.244795,"\text{Not used}","int(sinh(x)^2/(coth(x) + 1),x)","\frac{{\mathrm{e}}^{2\,x}}{16}-\frac{3\,{\mathrm{e}}^{-2\,x}}{16}-\frac{3\,x}{8}+\frac{{\mathrm{e}}^{-4\,x}}{32}","Not used",1,"exp(2*x)/16 - (3*exp(-2*x))/16 - (3*x)/8 + exp(-4*x)/32","B"
92,1,17,19,1.242068,"\text{Not used}","int(sinh(x)/(coth(x) + 1),x)","\frac{{\mathrm{e}}^{-x}}{2}-\frac{{\mathrm{e}}^{-3\,x}}{12}+\frac{{\mathrm{e}}^x}{4}","Not used",1,"exp(-x)/2 - exp(-3*x)/12 + exp(x)/4","B"
93,1,6,10,1.197189,"\text{Not used}","int(1/(sinh(x)*(coth(x) + 1)),x)","-{\mathrm{e}}^{-x}","Not used",1,"-exp(-x)","B"
94,1,11,7,1.175883,"\text{Not used}","int(1/(sinh(x)^2*(coth(x) + 1)),x)","\ln\left({\mathrm{e}}^{2\,x}-1\right)-2\,x","Not used",1,"log(exp(2*x) - 1) - 2*x","B"
95,1,29,8,0.079052,"\text{Not used}","int(1/(sinh(x)^3*(coth(x) + 1)),x)","\ln\left(2\,{\mathrm{e}}^x+2\right)-\ln\left(2\,{\mathrm{e}}^x-2\right)-\frac{2\,{\mathrm{e}}^x}{{\mathrm{e}}^{2\,x}-1}","Not used",1,"log(2*exp(x) + 2) - log(2*exp(x) - 2) - (2*exp(x))/(exp(2*x) - 1)","B"
96,1,16,11,1.175794,"\text{Not used}","int(1/(sinh(x)^4*(coth(x) + 1)),x)","-\frac{2}{{\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1}","Not used",1,"-2/(exp(4*x) - 2*exp(2*x) + 1)","B"
97,1,143,155,1.628876,"\text{Not used}","int(sinh(x)^4/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{4\,x}}{64\,a+64\,b}-\frac{{\mathrm{e}}^{-4\,x}}{64\,a-64\,b}+\frac{{\mathrm{e}}^{-2\,x}\,\left(2\,a-3\,b\right)}{16\,{\left(a-b\right)}^2}-\frac{b^5\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6}+\frac{x\,\left(3\,a^2-9\,a\,b+8\,b^2\right)}{8\,{\left(a-b\right)}^3}-\frac{{\mathrm{e}}^{2\,x}\,\left(2\,a+3\,b\right)}{16\,{\left(a+b\right)}^2}","Not used",1,"exp(4*x)/(64*a + 64*b) - exp(-4*x)/(64*a - 64*b) + (exp(-2*x)*(2*a - 3*b))/(16*(a - b)^2) - (b^5*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2) + (x*(3*a^2 - 9*a*b + 8*b^2))/(8*(a - b)^3) - (exp(2*x)*(2*a + 3*b))/(16*(a + b)^2)","B"
98,1,172,134,1.864806,"\text{Not used}","int(sinh(x)^3/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{-3\,x}}{24\,a-24\,b}+\frac{{\mathrm{e}}^{3\,x}}{24\,a+24\,b}-\frac{{\mathrm{e}}^{-x}\,\left(3\,a-5\,b\right)}{8\,{\left(a-b\right)}^2}-\frac{{\mathrm{e}}^x\,\left(3\,a+5\,b\right)}{8\,{\left(a+b\right)}^2}-\frac{b^4\,\ln\left(2\,a^3\,b-2\,a\,b^3+a^4-b^4+{\mathrm{e}}^x\,{\left(a+b\right)}^{7/2}\,\sqrt{a-b}\right)}{{\left(a+b\right)}^{5/2}\,{\left(a-b\right)}^{5/2}}+\frac{b^4\,\ln\left(2\,a\,b^3-2\,a^3\,b-a^4+b^4+{\mathrm{e}}^x\,{\left(a+b\right)}^{7/2}\,\sqrt{a-b}\right)}{{\left(a+b\right)}^{5/2}\,{\left(a-b\right)}^{5/2}}","Not used",1,"exp(-3*x)/(24*a - 24*b) + exp(3*x)/(24*a + 24*b) - (exp(-x)*(3*a - 5*b))/(8*(a - b)^2) - (exp(x)*(3*a + 5*b))/(8*(a + b)^2) - (b^4*log(2*a^3*b - 2*a*b^3 + a^4 - b^4 + exp(x)*(a + b)^(7/2)*(a - b)^(1/2)))/((a + b)^(5/2)*(a - b)^(5/2)) + (b^4*log(2*a*b^3 - 2*a^3*b - a^4 + b^4 + exp(x)*(a + b)^(7/2)*(a - b)^(1/2)))/((a + b)^(5/2)*(a - b)^(5/2))","B"
99,1,85,92,1.468983,"\text{Not used}","int(sinh(x)^2/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,a+8\,b}-\frac{{\mathrm{e}}^{-2\,x}}{8\,a-8\,b}-\frac{b^3\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^4-2\,a^2\,b^2+b^4}-\frac{x\,\left(a-2\,b\right)}{2\,{\left(a-b\right)}^2}","Not used",1,"exp(2*x)/(8*a + 8*b) - exp(-2*x)/(8*a - 8*b) - (b^3*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^4 + b^4 - 2*a^2*b^2) - (x*(a - 2*b))/(2*(a - b)^2)","B"
100,1,156,73,1.495559,"\text{Not used}","int(sinh(x)/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^x}{2\,a+2\,b}+\frac{{\mathrm{e}}^{-x}}{2\,a-2\,b}-\frac{b^2\,\ln\left(\frac{2\,b^2\,{\mathrm{e}}^x}{-a^3-a^2\,b+a\,b^2+b^3}-\frac{2\,b^2}{{\left(a+b\right)}^{5/2}\,\sqrt{a-b}}\right)}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}+\frac{b^2\,\ln\left(\frac{2\,b^2}{{\left(a+b\right)}^{5/2}\,\sqrt{a-b}}+\frac{2\,b^2\,{\mathrm{e}}^x}{-a^3-a^2\,b+a\,b^2+b^3}\right)}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"exp(x)/(2*a + 2*b) + exp(-x)/(2*a - 2*b) - (b^2*log((2*b^2*exp(x))/(a*b^2 - a^2*b - a^3 + b^3) - (2*b^2)/((a + b)^(5/2)*(a - b)^(1/2))))/((a + b)^(3/2)*(a - b)^(3/2)) + (b^2*log((2*b^2)/((a + b)^(5/2)*(a - b)^(1/2)) + (2*b^2*exp(x))/(a*b^2 - a^2*b - a^3 + b^3)))/((a + b)^(3/2)*(a - b)^(3/2))","B"
101,1,35,38,0.171966,"\text{Not used}","int(1/(sinh(x)*(a + b*coth(x))),x)","-\frac{2\,\mathrm{atan}\left(\frac{{\mathrm{e}}^x\,\sqrt{b^2-a^2}}{a-b}\right)}{\sqrt{b^2-a^2}}","Not used",1,"-(2*atan((exp(x)*(b^2 - a^2)^(1/2))/(a - b)))/(b^2 - a^2)^(1/2)","B"
102,1,51,12,0.156301,"\text{Not used}","int(1/(sinh(x)^2*(a + b*coth(x))),x)","-\frac{2\,\mathrm{atan}\left(\frac{a\,{\mathrm{e}}^{2\,x}\,\sqrt{-b^2}-a\,\sqrt{-b^2}+b\,{\mathrm{e}}^{2\,x}\,\sqrt{-b^2}}{b^2}\right)}{\sqrt{-b^2}}","Not used",1,"-(2*atan((a*exp(2*x)*(-b^2)^(1/2) - a*(-b^2)^(1/2) + b*exp(2*x)*(-b^2)^(1/2))/b^2))/(-b^2)^(1/2)","B"
103,1,230,57,1.457237,"\text{Not used}","int(1/(sinh(x)^3*(a + b*coth(x))),x)","\frac{2\,{\mathrm{e}}^x}{b-b\,{\mathrm{e}}^{2\,x}}-\frac{a\,\ln\left(32\,a\,b^2-64\,a^2\,b+32\,a^3-32\,a^3\,{\mathrm{e}}^x-32\,a\,b^2\,{\mathrm{e}}^x+64\,a^2\,b\,{\mathrm{e}}^x\right)}{b^2}+\frac{a\,\ln\left(32\,a\,b^2-64\,a^2\,b+32\,a^3+32\,a^3\,{\mathrm{e}}^x+32\,a\,b^2\,{\mathrm{e}}^x-64\,a^2\,b\,{\mathrm{e}}^x\right)}{b^2}+\frac{\ln\left(32\,a\,\sqrt{a^2-b^2}-32\,b\,\sqrt{a^2-b^2}-32\,a^2\,{\mathrm{e}}^x+32\,b^2\,{\mathrm{e}}^x\right)\,\sqrt{a^2-b^2}}{b^2}-\frac{\ln\left(32\,a\,\sqrt{a^2-b^2}-32\,b\,\sqrt{a^2-b^2}+32\,a^2\,{\mathrm{e}}^x-32\,b^2\,{\mathrm{e}}^x\right)\,\sqrt{a^2-b^2}}{b^2}","Not used",1,"(2*exp(x))/(b - b*exp(2*x)) - (a*log(32*a*b^2 - 64*a^2*b + 32*a^3 - 32*a^3*exp(x) - 32*a*b^2*exp(x) + 64*a^2*b*exp(x)))/b^2 + (a*log(32*a*b^2 - 64*a^2*b + 32*a^3 + 32*a^3*exp(x) + 32*a*b^2*exp(x) - 64*a^2*b*exp(x)))/b^2 + (log(32*a*(a^2 - b^2)^(1/2) - 32*b*(a^2 - b^2)^(1/2) - 32*a^2*exp(x) + 32*b^2*exp(x))*(a^2 - b^2)^(1/2))/b^2 - (log(32*a*(a^2 - b^2)^(1/2) - 32*b*(a^2 - b^2)^(1/2) + 32*a^2*exp(x) - 32*b^2*exp(x))*(a^2 - b^2)^(1/2))/b^2","B"
104,1,88,40,1.441569,"\text{Not used}","int(1/(sinh(x)^4*(a + b*coth(x))),x)","\frac{2\,\left(a-b\right)}{b^2\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{2}{b\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}-\frac{\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)\,\left(a+b\right)\,\left(a-b\right)}{b^3}+\frac{\ln\left({\mathrm{e}}^{2\,x}-1\right)\,\left(a+b\right)\,\left(a-b\right)}{b^3}","Not used",1,"(2*(a - b))/(b^2*(exp(2*x) - 1)) - 2/(b*(exp(4*x) - 2*exp(2*x) + 1)) - (log(b - a + a*exp(2*x) + b*exp(2*x))*(a + b)*(a - b))/b^3 + (log(exp(2*x) - 1)*(a + b)*(a - b))/b^3","B"
105,1,34,60,1.421557,"\text{Not used}","int(cosh(x)^4/(coth(x) + 1),x)","\frac{x}{16}+\frac{{\mathrm{e}}^{-2\,x}}{32}+\frac{3\,{\mathrm{e}}^{2\,x}}{64}+\frac{3\,{\mathrm{e}}^{-4\,x}}{128}+\frac{{\mathrm{e}}^{4\,x}}{128}+\frac{{\mathrm{e}}^{-6\,x}}{192}","Not used",1,"x/16 + exp(-2*x)/32 + (3*exp(2*x))/64 + (3*exp(-4*x))/128 + exp(4*x)/128 + exp(-6*x)/192","B"
106,1,23,25,1.315457,"\text{Not used}","int(cosh(x)^3/(coth(x) + 1),x)","\frac{{\mathrm{e}}^{-3\,x}}{24}+\frac{{\mathrm{e}}^{3\,x}}{48}+\frac{{\mathrm{e}}^{-5\,x}}{80}+\frac{{\mathrm{e}}^x}{8}","Not used",1,"exp(-3*x)/24 + exp(3*x)/48 + exp(-5*x)/80 + exp(x)/8","B"
107,1,22,38,0.107387,"\text{Not used}","int(cosh(x)^2/(coth(x) + 1),x)","\frac{x}{8}+\frac{{\mathrm{e}}^{-2\,x}}{16}+\frac{{\mathrm{e}}^{2\,x}}{16}+\frac{{\mathrm{e}}^{-4\,x}}{32}","Not used",1,"x/8 + exp(-2*x)/16 + exp(2*x)/16 + exp(-4*x)/32","B"
108,1,11,17,1.185866,"\text{Not used}","int(cosh(x)/(coth(x) + 1),x)","\frac{{\mathrm{e}}^{-3\,x}}{12}+\frac{{\mathrm{e}}^x}{4}","Not used",1,"exp(-3*x)/12 + exp(x)/4","B"
109,1,10,10,1.280761,"\text{Not used}","int(1/(cosh(x)*(coth(x) + 1)),x)","{\mathrm{e}}^{-x}+2\,\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"exp(-x) + 2*atan(exp(x))","B"
110,1,21,15,1.189459,"\text{Not used}","int(1/(cosh(x)^2*(coth(x) + 1)),x)","\ln\left({\mathrm{e}}^{2\,x}+1\right)-2\,x-\frac{2}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"log(exp(2*x) + 1) - 2*x - 2/(exp(2*x) + 1)","B"
111,1,22,20,1.254867,"\text{Not used}","int(1/(cosh(x)^3*(coth(x) + 1)),x)","-\mathrm{atan}\left({\mathrm{e}}^x\right)-\frac{1}{2\,\mathrm{cosh}\left(x\right)}-\frac{{\mathrm{e}}^{-x}}{2\,{\mathrm{cosh}\left(x\right)}^2}","Not used",1,"- atan(exp(x)) - 1/(2*cosh(x)) - exp(-x)/(2*cosh(x)^2)","B"
112,1,18,17,0.073849,"\text{Not used}","int(1/(cosh(x)^4*(coth(x) + 1)),x)","-\frac{2\,\left(3\,{\mathrm{e}}^{2\,x}-1\right)}{3\,{\left({\mathrm{e}}^{2\,x}+1\right)}^3}","Not used",1,"-(2*(3*exp(2*x) - 1))/(3*(exp(2*x) + 1)^3)","B"
113,0,-1,21,0.000000,"\text{Not used}","int((coth(x) + 1)^(1/2)/cosh(x)^2,x)","\int \frac{\sqrt{\mathrm{coth}\left(x\right)+1}}{{\mathrm{cosh}\left(x\right)}^2} \,d x","Not used",1,"int((coth(x) + 1)^(1/2)/cosh(x)^2, x)","F"
114,1,135,147,1.743213,"\text{Not used}","int(cosh(x)^4/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{4\,x}}{64\,a+64\,b}-\frac{{\mathrm{e}}^{-4\,x}}{64\,a-64\,b}-\frac{{\mathrm{e}}^{-2\,x}\,\left(2\,a-b\right)}{16\,{\left(a-b\right)}^2}+\frac{{\mathrm{e}}^{2\,x}\,\left(2\,a+b\right)}{16\,{\left(a+b\right)}^2}-\frac{a^4\,b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^6-3\,a^4\,b^2+3\,a^2\,b^4-b^6}+\frac{a\,x\,\left(3\,a-b\right)}{8\,{\left(a-b\right)}^3}","Not used",1,"exp(4*x)/(64*a + 64*b) - exp(-4*x)/(64*a - 64*b) - (exp(-2*x)*(2*a - b))/(16*(a - b)^2) + (exp(2*x)*(2*a + b))/(16*(a + b)^2) - (a^4*b*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^6 - b^6 + 3*a^2*b^4 - 3*a^4*b^2) + (a*x*(3*a - b))/(8*(a - b)^3)","B"
115,1,262,135,2.043787,"\text{Not used}","int(cosh(x)^3/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{3\,x}}{24\,a+24\,b}-\frac{{\mathrm{e}}^{-3\,x}}{24\,a-24\,b}+\frac{{\mathrm{e}}^x\,\left(3\,a+b\right)}{8\,{\left(a+b\right)}^2}-\frac{{\mathrm{e}}^{-x}\,\left(3\,a-b\right)}{8\,{\left(a-b\right)}^2}+\frac{2\,\mathrm{atan}\left(\frac{a^3\,b\,{\mathrm{e}}^x\,\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}{a^5\,\sqrt{a^6\,b^2}-b^5\,\sqrt{a^6\,b^2}+2\,a^2\,b^3\,\sqrt{a^6\,b^2}-2\,a^3\,b^2\,\sqrt{a^6\,b^2}+a\,b^4\,\sqrt{a^6\,b^2}-a^4\,b\,\sqrt{a^6\,b^2}}\right)\,\sqrt{a^6\,b^2}}{\sqrt{-a^{10}+5\,a^8\,b^2-10\,a^6\,b^4+10\,a^4\,b^6-5\,a^2\,b^8+b^{10}}}","Not used",1,"exp(3*x)/(24*a + 24*b) - exp(-3*x)/(24*a - 24*b) + (exp(x)*(3*a + b))/(8*(a + b)^2) - (exp(-x)*(3*a - b))/(8*(a - b)^2) + (2*atan((a^3*b*exp(x)*(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2))/(a^5*(a^6*b^2)^(1/2) - b^5*(a^6*b^2)^(1/2) + 2*a^2*b^3*(a^6*b^2)^(1/2) - 2*a^3*b^2*(a^6*b^2)^(1/2) + a*b^4*(a^6*b^2)^(1/2) - a^4*b*(a^6*b^2)^(1/2)))*(a^6*b^2)^(1/2))/(b^10 - a^10 - 5*a^2*b^8 + 10*a^4*b^6 - 10*a^6*b^4 + 5*a^8*b^2)^(1/2)","B"
116,1,82,85,1.397773,"\text{Not used}","int(cosh(x)^2/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^{2\,x}}{8\,a+8\,b}-\frac{{\mathrm{e}}^{-2\,x}}{8\,a-8\,b}+\frac{a\,x}{2\,{\left(a-b\right)}^2}-\frac{a^2\,b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^4-2\,a^2\,b^2+b^4}","Not used",1,"exp(2*x)/(8*a + 8*b) - exp(-2*x)/(8*a - 8*b) + (a*x)/(2*(a - b)^2) - (a^2*b*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^4 + b^4 - 2*a^2*b^2)","B"
117,1,158,72,1.529465,"\text{Not used}","int(cosh(x)/(a + b*coth(x)),x)","\frac{{\mathrm{e}}^x}{2\,a+2\,b}-\frac{{\mathrm{e}}^{-x}}{2\,a-2\,b}+\frac{2\,\mathrm{atan}\left(\frac{a\,b\,{\mathrm{e}}^x\,\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}{a^3\,\sqrt{a^2\,b^2}+b^3\,\sqrt{a^2\,b^2}-a\,b^2\,\sqrt{a^2\,b^2}-a^2\,b\,\sqrt{a^2\,b^2}}\right)\,\sqrt{a^2\,b^2}}{\sqrt{-a^6+3\,a^4\,b^2-3\,a^2\,b^4+b^6}}","Not used",1,"exp(x)/(2*a + 2*b) - exp(-x)/(2*a - 2*b) + (2*atan((a*b*exp(x)*(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^3*(a^2*b^2)^(1/2) + b^3*(a^2*b^2)^(1/2) - a*b^2*(a^2*b^2)^(1/2) - a^2*b*(a^2*b^2)^(1/2)))*(a^2*b^2)^(1/2))/(b^6 - a^6 - 3*a^2*b^4 + 3*a^4*b^2)^(1/2)","B"
118,1,164,50,3.223107,"\text{Not used}","int(1/(cosh(x)*(a + b*coth(x))),x)","\frac{b\,\ln\left(32\,a\,b^2\,{\mathrm{e}}^x+32\,a^2\,b\,{\mathrm{e}}^x+32\,a\,b\,\sqrt{a^2-b^2}\right)}{a\,\sqrt{a^2-b^2}}-\frac{b\,\ln\left(32\,a\,b^2\,{\mathrm{e}}^x+32\,a^2\,b\,{\mathrm{e}}^x-32\,a\,b\,\sqrt{a^2-b^2}\right)}{a\,\sqrt{a^2-b^2}}+\frac{\ln\left(32\,a\,b\,{\mathrm{e}}^x-32\,a^2\,{\mathrm{e}}^x+a\,b\,32{}\mathrm{i}-a^2\,32{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}-\frac{\ln\left(32\,a^2\,{\mathrm{e}}^x-32\,a\,b\,{\mathrm{e}}^x+a\,b\,32{}\mathrm{i}-a^2\,32{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(log(a*b*32i - a^2*32i - 32*a^2*exp(x) + 32*a*b*exp(x))*1i)/a - (log(a*b*32i - a^2*32i + 32*a^2*exp(x) - 32*a*b*exp(x))*1i)/a - (b*log(32*a*b^2*exp(x) + 32*a^2*b*exp(x) - 32*a*b*(a^2 - b^2)^(1/2)))/(a*(a^2 - b^2)^(1/2)) + (b*log(32*a*b^2*exp(x) + 32*a^2*b*exp(x) + 32*a*b*(a^2 - b^2)^(1/2)))/(a*(a^2 - b^2)^(1/2))","B"
119,1,323,29,1.584328,"\text{Not used}","int(1/(cosh(x)^2*(a + b*coth(x))),x)","\frac{2\,\mathrm{atan}\left(\frac{b\,\left(a^4\,{\left(b^2\right)}^{3/2}-a^6\,\sqrt{b^2}\right)\,\left(b^6\,\sqrt{-a^4}-a\,b^5\,\sqrt{-a^4}-a^2\,b^4\,\sqrt{-a^4}+a^3\,b^3\,\sqrt{-a^4}+b^6\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}-2\,a^2\,b^4\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}+a^4\,b^2\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}\right)+b^2\,\left(a^3\,{\left(b^2\right)}^{3/2}-a^5\,\sqrt{b^2}\right)\,\left(b^6\,\sqrt{-a^4}-a\,b^5\,\sqrt{-a^4}-a^2\,b^4\,\sqrt{-a^4}+a^3\,b^3\,\sqrt{-a^4}+b^6\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}-2\,a^2\,b^4\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}+a^4\,b^2\,{\mathrm{e}}^{2\,x}\,\sqrt{-a^4}\right)}{-a^{12}\,b^4+3\,a^{10}\,b^6-3\,a^8\,b^8+a^6\,b^{10}}\right)\,\sqrt{b^2}}{\sqrt{-a^4}}-\frac{2}{a\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"(2*atan((b*(a^4*(b^2)^(3/2) - a^6*(b^2)^(1/2))*(b^6*(-a^4)^(1/2) - a*b^5*(-a^4)^(1/2) - a^2*b^4*(-a^4)^(1/2) + a^3*b^3*(-a^4)^(1/2) + b^6*exp(2*x)*(-a^4)^(1/2) - 2*a^2*b^4*exp(2*x)*(-a^4)^(1/2) + a^4*b^2*exp(2*x)*(-a^4)^(1/2)) + b^2*(a^3*(b^2)^(3/2) - a^5*(b^2)^(1/2))*(b^6*(-a^4)^(1/2) - a*b^5*(-a^4)^(1/2) - a^2*b^4*(-a^4)^(1/2) + a^3*b^3*(-a^4)^(1/2) + b^6*exp(2*x)*(-a^4)^(1/2) - 2*a^2*b^4*exp(2*x)*(-a^4)^(1/2) + a^4*b^2*exp(2*x)*(-a^4)^(1/2)))/(a^6*b^10 - 3*a^8*b^8 + 3*a^10*b^6 - a^12*b^4))*(b^2)^(1/2))/(-a^4)^(1/2) - 2/(a*(exp(2*x) + 1))","B"
120,1,166,83,3.938397,"\text{Not used}","int(1/(cosh(x)^3*(a + b*coth(x))),x)","\frac{{\mathrm{e}}^x\,\left(a-2\,b\right)}{a^2\,\left({\mathrm{e}}^{2\,x}+1\right)}+\frac{\ln\left({\mathrm{e}}^x+1{}\mathrm{i}\right)\,\left(a^2\,1{}\mathrm{i}-b^2\,2{}\mathrm{i}\right)}{2\,a^3}-\frac{2\,{\mathrm{e}}^x}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}-\frac{\ln\left({\mathrm{e}}^x-\mathrm{i}\right)\,\left(a^2\,1{}\mathrm{i}-b^2\,2{}\mathrm{i}\right)}{2\,a^3}+\frac{b\,\ln\left(a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^x+\sqrt{a^2-b^2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}}{a^3}-\frac{b\,\ln\left(a\,{\mathrm{e}}^x+b\,{\mathrm{e}}^x-\sqrt{a^2-b^2}\right)\,\sqrt{\left(a+b\right)\,\left(a-b\right)}}{a^3}","Not used",1,"(log(exp(x) + 1i)*(a^2*1i - b^2*2i))/(2*a^3) - (log(exp(x) - 1i)*(a^2*1i - b^2*2i))/(2*a^3) - (2*exp(x))/(a*(2*exp(2*x) + exp(4*x) + 1)) + (exp(x)*(a - 2*b))/(a^2*(exp(2*x) + 1)) + (b*log(a*exp(x) + b*exp(x) + (a^2 - b^2)^(1/2))*((a + b)*(a - b))^(1/2))/a^3 - (b*log(a*exp(x) + b*exp(x) - (a^2 - b^2)^(1/2))*((a + b)*(a - b))^(1/2))/a^3","B"
121,1,123,79,1.450059,"\text{Not used}","int(1/(cosh(x)^4*(a + b*coth(x))),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{2\,\left(2\,a-b\right)}{a^2\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}-\frac{2\,b\,\left(a-b\right)}{a^3\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)\,\left(a+b\right)\,\left(a-b\right)}{a^4}+\frac{b\,\ln\left({\mathrm{e}}^{2\,x}+1\right)\,\left(a+b\right)\,\left(a-b\right)}{a^4}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - (2*(2*a - b))/(a^2*(2*exp(2*x) + exp(4*x) + 1)) - (2*b*(a - b))/(a^3*(exp(2*x) + 1)) - (b*log(b - a + a*exp(2*x) + b*exp(2*x))*(a + b)*(a - b))/a^4 + (b*log(exp(2*x) + 1)*(a + b)*(a - b))/a^4","B"
122,1,65,31,0.512930,"\text{Not used}","int(1/(cosh(x)*(2*coth(x) + 1i)),x)","\ln\left({\mathrm{e}}^x\,\left(32+64{}\mathrm{i}\right)-64+32{}\mathrm{i}\right)-\ln\left({\mathrm{e}}^x\,\left(32+64{}\mathrm{i}\right)+64-32{}\mathrm{i}\right)-\frac{2\,\sqrt{5}\,\ln\left({\mathrm{e}}^x\,\left(-\frac{256}{5}+\frac{192}{5}{}\mathrm{i}\right)+\sqrt{5}\,\left(-\frac{128}{5}-\frac{64}{5}{}\mathrm{i}\right)\right)}{5}+\frac{2\,\sqrt{5}\,\ln\left({\mathrm{e}}^x\,\left(-\frac{256}{5}+\frac{192}{5}{}\mathrm{i}\right)+\sqrt{5}\,\left(\frac{128}{5}+\frac{64}{5}{}\mathrm{i}\right)\right)}{5}","Not used",1,"log(exp(x)*(32 + 64i) - (64 - 32i)) - log(exp(x)*(32 + 64i) + (64 - 32i)) - (2*5^(1/2)*log(- exp(x)*(256/5 - 192i/5) - 5^(1/2)*(128/5 + 64i/5)))/5 + (2*5^(1/2)*log(5^(1/2)*(128/5 + 64i/5) - exp(x)*(256/5 - 192i/5)))/5","B"
123,1,69,43,1.303135,"\text{Not used}","int(tanh(x)^4/(coth(x) + 1),x)","\frac{9\,x}{2}-2\,\ln\left({\mathrm{e}}^{2\,x}+1\right)+\frac{{\mathrm{e}}^{-2\,x}}{4}+\frac{8}{3\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}-\frac{2}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}+\frac{4}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"(9*x)/2 - 2*log(exp(2*x) + 1) + exp(-2*x)/4 + 8/(3*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) - 2/(2*exp(2*x) + exp(4*x) + 1) + 4/(exp(2*x) + 1)","B"
124,1,35,37,1.206048,"\text{Not used}","int(tanh(x)^3/(coth(x) + 1),x)","2\,\ln\left({\mathrm{e}}^{2\,x}+1\right)-\frac{7\,x}{2}-\frac{{\mathrm{e}}^{-2\,x}}{4}-\frac{2}{2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1}","Not used",1,"2*log(exp(2*x) + 1) - (7*x)/2 - exp(-2*x)/4 - 2/(2*exp(2*x) + exp(4*x) + 1)","B"
125,1,29,29,1.215642,"\text{Not used}","int(tanh(x)^2/(coth(x) + 1),x)","\frac{5\,x}{2}-\ln\left({\mathrm{e}}^{2\,x}+1\right)+\frac{{\mathrm{e}}^{-2\,x}}{4}+\frac{2}{{\mathrm{e}}^{2\,x}+1}","Not used",1,"(5*x)/2 - log(exp(2*x) + 1) + exp(-2*x)/4 + 2/(exp(2*x) + 1)","B"
126,1,17,19,1.169708,"\text{Not used}","int(tanh(x)/(coth(x) + 1),x)","\ln\left({\mathrm{e}}^{2\,x}+1\right)-\frac{3\,x}{2}-\frac{{\mathrm{e}}^{-2\,x}}{4}","Not used",1,"log(exp(2*x) + 1) - (3*x)/2 - exp(-2*x)/4","B"
127,1,14,16,0.001964,"\text{Not used}","int(1/(coth(x) + 1),x)","\frac{x}{2}-\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 - 1/(2*(coth(x) + 1))","B"
128,1,12,16,0.048658,"\text{Not used}","int(coth(x)/(coth(x) + 1),x)","\frac{x}{2}+\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 + 1/(2*(coth(x) + 1))","B"
129,1,21,19,0.059478,"\text{Not used}","int(coth(x)^2/(coth(x) + 1),x)","\frac{x}{2}-\ln\left(\mathrm{coth}\left(x\right)+1\right)-\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 - log(coth(x) + 1) - 1/(2*(coth(x) + 1))","B"
130,1,21,31,1.163662,"\text{Not used}","int(coth(x)^3/(coth(x) + 1),x)","\frac{x}{2}+\ln\left(\mathrm{coth}\left(x\right)+1\right)-\mathrm{coth}\left(x\right)+\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 + log(coth(x) + 1) - coth(x) + 1/(2*(coth(x) + 1))","B"
131,1,29,37,0.065748,"\text{Not used}","int(coth(x)^4/(coth(x) + 1),x)","\frac{x}{2}-2\,\ln\left(\mathrm{coth}\left(x\right)+1\right)+\mathrm{coth}\left(x\right)-\frac{{\mathrm{coth}\left(x\right)}^2}{2}-\frac{1}{2\,\left(\mathrm{coth}\left(x\right)+1\right)}","Not used",1,"x/2 - 2*log(coth(x) + 1) + coth(x) - coth(x)^2/2 - 1/(2*(coth(x) + 1))","B"
132,1,34,45,1.237978,"\text{Not used}","int(coth(x)*(coth(x) + 1)^(3/2),x)","2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)-2\,\sqrt{\mathrm{coth}\left(x\right)+1}-\frac{2\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}{3}","Not used",1,"2*2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2) - 2*(coth(x) + 1)^(1/2) - (2*(coth(x) + 1)^(3/2))/3","B"
133,1,25,32,1.197408,"\text{Not used}","int(coth(x)*(coth(x) + 1)^(1/2),x)","\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)-2\,\sqrt{\mathrm{coth}\left(x\right)+1}","Not used",1,"2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2) - 2*(coth(x) + 1)^(1/2)","B"
134,1,24,30,1.230454,"\text{Not used}","int(coth(x)/(coth(x) + 1)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{2}+\frac{1}{\sqrt{\mathrm{coth}\left(x\right)+1}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/2 + 1/(coth(x) + 1)^(1/2)","B"
135,1,32,49,1.217765,"\text{Not used}","int(coth(x)/(coth(x) + 1)^(3/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{4}-\frac{\frac{\mathrm{coth}\left(x\right)}{2}+\frac{1}{6}}{{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/4 - (coth(x)/2 + 1/6)/(coth(x) + 1)^(3/2)","B"
136,1,34,45,1.248069,"\text{Not used}","int(coth(x)^2*(coth(x) + 1)^(3/2),x)","2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)-2\,\sqrt{\mathrm{coth}\left(x\right)+1}-\frac{2\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{5/2}}{5}","Not used",1,"2*2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2) - 2*(coth(x) + 1)^(1/2) - (2*(coth(x) + 1)^(5/2))/5","B"
137,1,25,34,1.194986,"\text{Not used}","int(coth(x)^2*(coth(x) + 1)^(1/2),x)","\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)-\frac{2\,{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}{3}","Not used",1,"2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2) - (2*(coth(x) + 1)^(3/2))/3","B"
138,1,36,42,1.255568,"\text{Not used}","int(coth(x)^2/(coth(x) + 1)^(1/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{2}-\frac{3}{\sqrt{\mathrm{coth}\left(x\right)+1}}-\frac{2\,\mathrm{coth}\left(x\right)}{\sqrt{\mathrm{coth}\left(x\right)+1}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/2 - 3/(coth(x) + 1)^(1/2) - (2*coth(x))/(coth(x) + 1)^(1/2)","B"
139,1,31,49,1.232054,"\text{Not used}","int(coth(x)^2/(coth(x) + 1)^(3/2),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{\mathrm{coth}\left(x\right)+1}}{2}\right)}{4}+\frac{\frac{3\,\mathrm{coth}\left(x\right)}{2}+\frac{7}{6}}{{\left(\mathrm{coth}\left(x\right)+1\right)}^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(coth(x) + 1)^(1/2))/2))/4 + ((3*coth(x))/2 + 7/6)/(coth(x) + 1)^(3/2)","B"
140,1,163,97,1.611619,"\text{Not used}","int(tanh(x)^4/(a + b*coth(x)),x)","\frac{8}{3\,a\,\left(3\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}+1\right)}+\frac{x}{a-b}-\frac{b^5\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^6-a^4\,b^2}-\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)\,\left(a^2\,b+b^3\right)}{a^4}+\frac{2\,\left(2\,a^3+a^2\,b+b^3\right)}{a^3\,\left(a+b\right)\,\left({\mathrm{e}}^{2\,x}+1\right)}-\frac{2\,\left(2\,a^2+a\,b-b^2\right)}{a^2\,\left(a+b\right)\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}","Not used",1,"8/(3*a*(3*exp(2*x) + 3*exp(4*x) + exp(6*x) + 1)) + x/(a - b) - (b^5*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^6 - a^4*b^2) - (log(exp(2*x) + 1)*(a^2*b + b^3))/a^4 + (2*(a^2*b + 2*a^3 + b^3))/(a^3*(a + b)*(exp(2*x) + 1)) - (2*(a*b + 2*a^2 - b^2))/(a^2*(a + b)*(2*exp(2*x) + exp(4*x) + 1))","B"
141,1,111,76,1.510595,"\text{Not used}","int(tanh(x)^3/(a + b*coth(x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)\,\left(a^2+b^2\right)}{a^3}-\frac{x}{a-b}-\frac{2}{a\,\left(2\,{\mathrm{e}}^{2\,x}+{\mathrm{e}}^{4\,x}+1\right)}+\frac{b^4\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^5-a^3\,b^2}+\frac{2\,\left(a^2-b^2\right)}{a^2\,\left(a+b\right)\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"(log(exp(2*x) + 1)*(a^2 + b^2))/a^3 - x/(a - b) - 2/(a*(2*exp(2*x) + exp(4*x) + 1)) + (b^4*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^5 - a^3*b^2) + (2*(a^2 - b^2))/(a^2*(a + b)*(exp(2*x) + 1))","B"
142,1,73,60,1.449721,"\text{Not used}","int(tanh(x)^2/(a + b*coth(x)),x)","\frac{2}{a\,\left({\mathrm{e}}^{2\,x}+1\right)}+\frac{x}{a-b}-\frac{b^3\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^4-a^2\,b^2}-\frac{b\,\ln\left({\mathrm{e}}^{2\,x}+1\right)}{a^2}","Not used",1,"2/(a*(exp(2*x) + 1)) + x/(a - b) - (b^3*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^4 - a^2*b^2) - (b*log(exp(2*x) + 1))/a^2","B"
143,1,58,51,0.323511,"\text{Not used}","int(tanh(x)/(a + b*coth(x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)}{a}-\frac{x}{a-b}-\frac{b^2\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a\,b^2-a^3}","Not used",1,"log(exp(2*x) + 1)/a - x/(a - b) - (b^2*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a*b^2 - a^3)","B"
144,1,42,39,0.083955,"\text{Not used}","int(1/(a + b*coth(x)),x)","\frac{x}{a-b}-\frac{b\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^2-b^2}","Not used",1,"x/(a - b) - (b*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^2 - b^2)","B"
145,1,42,39,0.063805,"\text{Not used}","int(coth(x)/(a + b*coth(x)),x)","\frac{a\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^2-b^2}-\frac{x}{a-b}","Not used",1,"(a*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^2 - b^2) - x/(a - b)","B"
146,1,57,63,1.480454,"\text{Not used}","int(coth(x)^2/(a + b*coth(x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,x}-1\right)}{b}+\frac{x}{a-b}-\frac{a^2\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^2\,b-b^3}","Not used",1,"log(exp(2*x) - 1)/b + x/(a - b) - (a^2*log(b - a + a*exp(2*x) + b*exp(2*x)))/(a^2*b - b^3)","B"
147,1,74,64,1.509260,"\text{Not used}","int(coth(x)^3/(a + b*coth(x)),x)","-\frac{2}{b\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{x}{a-b}-\frac{a^3\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^4-a^2\,b^2}-\frac{a\,\ln\left({\mathrm{e}}^{2\,x}-1\right)}{b^2}","Not used",1,"- 2/(b*(exp(2*x) - 1)) - x/(a - b) - (a^3*log(b - a + a*exp(2*x) + b*exp(2*x)))/(b^4 - a^2*b^2) - (a*log(exp(2*x) - 1))/b^2","B"
148,1,110,76,1.626861,"\text{Not used}","int(coth(x)^4/(a + b*coth(x)),x)","\frac{x}{a-b}-\frac{2}{b\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}+\frac{\ln\left({\mathrm{e}}^{2\,x}-1\right)\,\left(a^2+b^2\right)}{b^3}+\frac{a^4\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^5-a^2\,b^3}+\frac{2\,\left(a^2-b^2\right)}{b^2\,\left(a+b\right)\,\left({\mathrm{e}}^{2\,x}-1\right)}","Not used",1,"x/(a - b) - 2/(b*(exp(4*x) - 2*exp(2*x) + 1)) + (log(exp(2*x) - 1)*(a^2 + b^2))/b^3 + (a^4*log(b - a + a*exp(2*x) + b*exp(2*x)))/(b^5 - a^2*b^3) + (2*(a^2 - b^2))/(b^2*(a + b)*(exp(2*x) - 1))","B"
149,1,164,94,1.630862,"\text{Not used}","int(coth(x)^5/(a + b*coth(x)),x)","-\frac{8}{3\,b\,\left(3\,{\mathrm{e}}^{2\,x}-3\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{6\,x}-1\right)}-\frac{x}{a-b}-\frac{a^5\,\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{b^6-a^2\,b^4}-\frac{\ln\left({\mathrm{e}}^{2\,x}-1\right)\,\left(a^3+a\,b^2\right)}{b^4}-\frac{2\,\left(a^3+a\,b^2+2\,b^3\right)}{b^3\,\left(a+b\right)\,\left({\mathrm{e}}^{2\,x}-1\right)}-\frac{2\,\left(-a^2+a\,b+2\,b^2\right)}{b^2\,\left(a+b\right)\,\left({\mathrm{e}}^{4\,x}-2\,{\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"- 8/(3*b*(3*exp(2*x) - 3*exp(4*x) + exp(6*x) - 1)) - x/(a - b) - (a^5*log(b - a + a*exp(2*x) + b*exp(2*x)))/(b^6 - a^2*b^4) - (log(exp(2*x) - 1)*(a*b^2 + a^3))/b^4 - (2*(a*b^2 + a^3 + 2*b^3))/(b^3*(a + b)*(exp(2*x) - 1)) - (2*(a*b - a^2 + 2*b^2))/(b^2*(a + b)*(exp(4*x) - 2*exp(2*x) + 1))","B"
150,1,68,54,1.281828,"\text{Not used}","int(x/(sinh(x)^2*(a + b*coth(x))^2),x)","\frac{\ln\left(b-a+a\,{\mathrm{e}}^{2\,x}+b\,{\mathrm{e}}^{2\,x}\right)}{a^2-b^2}-\frac{2\,x}{a^2-b^2}-\frac{2\,x}{\left(a+b\right)\,\left(b-a+{\mathrm{e}}^{2\,x}\,\left(a+b\right)\right)}","Not used",1,"log(b - a + a*exp(2*x) + b*exp(2*x))/(a^2 - b^2) - (2*x)/(a^2 - b^2) - (2*x)/((a + b)*(b - a + exp(2*x)*(a + b)))","B"
151,1,23,30,1.250581,"\text{Not used}","int(x^3*coth(a + 2*log(x)),x)","\frac{\ln\left(x^4-{\mathrm{e}}^{-2\,a}\right)\,{\mathrm{e}}^{-2\,a}}{2}+\frac{x^4}{4}","Not used",1,"(log(x^4 - exp(-2*a))*exp(-2*a))/2 + x^4/4","B"
152,1,39,45,1.212932,"\text{Not used}","int(x^2*coth(a + 2*log(x)),x)","\frac{\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{{\left({\mathrm{e}}^{2\,a}\right)}^{3/4}}-\frac{\mathrm{atanh}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{{\left({\mathrm{e}}^{2\,a}\right)}^{3/4}}+\frac{x^3}{3}","Not used",1,"atan(x*exp(2*a)^(1/4))/exp(2*a)^(3/4) - atanh(x*exp(2*a)^(1/4))/exp(2*a)^(3/4) + x^3/3","B"
153,1,25,23,1.226124,"\text{Not used}","int(x*coth(a + 2*log(x)),x)","\frac{x^2}{2}-\frac{\mathrm{atanh}\left(x^2\,\sqrt{{\mathrm{e}}^{2\,a}}\right)}{\sqrt{{\mathrm{e}}^{2\,a}}}","Not used",1,"x^2/2 - atanh(x^2*exp(2*a)^(1/2))/exp(2*a)^(1/2)","B"
154,1,36,40,1.186192,"\text{Not used}","int(coth(a + 2*log(x)),x)","x-\frac{\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}}-\frac{\mathrm{atanh}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}}","Not used",1,"x - atan(x*exp(2*a)^(1/4))/exp(2*a)^(1/4) - atanh(x*exp(2*a)^(1/4))/exp(2*a)^(1/4)","B"
155,1,18,12,1.212054,"\text{Not used}","int(coth(a + 2*log(x))/x,x)","\frac{\ln\left(x^4-{\mathrm{e}}^{-2\,a}\right)}{2}-\ln\left(x\right)","Not used",1,"log(x^4 - exp(-2*a))/2 - log(x)","B"
156,1,37,41,1.204984,"\text{Not used}","int(coth(a + 2*log(x))/x^2,x)","{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)-{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,\mathrm{atanh}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)+\frac{1}{x}","Not used",1,"exp(2*a)^(1/4)*atan(x*exp(2*a)^(1/4)) - exp(2*a)^(1/4)*atanh(x*exp(2*a)^(1/4)) + 1/x","B"
157,1,25,21,1.213874,"\text{Not used}","int(coth(a + 2*log(x))/x^3,x)","\frac{1}{2\,x^2}-\mathrm{atanh}\left(x^2\,\sqrt{{\mathrm{e}}^{2\,a}}\right)\,\sqrt{{\mathrm{e}}^{2\,a}}","Not used",1,"1/(2*x^2) - atanh(x^2*exp(2*a)^(1/2))*exp(2*a)^(1/2)","B"
158,1,40,47,1.246862,"\text{Not used}","int(x^3*coth(a + 2*log(x))^2,x)","\ln\left(x^4-{\mathrm{e}}^{-2\,a}\right)\,{\mathrm{e}}^{-2\,a}-\frac{{\mathrm{e}}^{-2\,a}}{x^4\,{\mathrm{e}}^{2\,a}-1}+\frac{x^4}{4}","Not used",1,"log(x^4 - exp(-2*a))*exp(-2*a) - exp(-2*a)/(x^4*exp(2*a) - 1) + x^4/4","B"
159,1,60,68,1.236512,"\text{Not used}","int(x^2*coth(a + 2*log(x))^2,x)","\frac{3\,\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{2\,{\left({\mathrm{e}}^{2\,a}\right)}^{3/4}}-\frac{x^3}{x^4\,{\mathrm{e}}^{2\,a}-1}+\frac{x^3}{3}+\frac{\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,{\left({\mathrm{e}}^{2\,a}\right)}^{3/4}}","Not used",1,"(3*atan(x*exp(2*a)^(1/4)))/(2*exp(2*a)^(3/4)) - x^3/(x^4*exp(2*a) - 1) + (atan(x*exp(2*a)^(1/4)*1i)*3i)/(2*exp(2*a)^(3/4)) + x^3/3","B"
160,1,42,41,1.226105,"\text{Not used}","int(x*coth(a + 2*log(x))^2,x)","\frac{x^2}{2}-\frac{x^2}{x^4\,{\mathrm{e}}^{2\,a}-1}-\frac{\mathrm{atanh}\left(x^2\,\sqrt{{\mathrm{e}}^{2\,a}}\right)}{\sqrt{{\mathrm{e}}^{2\,a}}}","Not used",1,"x^2/2 - x^2/(x^4*exp(2*a) - 1) - atanh(x^2*exp(2*a)^(1/2))/exp(2*a)^(1/2)","B"
161,1,54,60,1.205357,"\text{Not used}","int(coth(a + 2*log(x))^2,x)","x-\frac{\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{2\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}}-\frac{x}{x^4\,{\mathrm{e}}^{2\,a}-1}+\frac{\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}}","Not used",1,"x - atan(x*exp(2*a)^(1/4))/(2*exp(2*a)^(1/4)) + (atan(x*exp(2*a)^(1/4)*1i)*1i)/(2*exp(2*a)^(1/4)) - x/(x^4*exp(2*a) - 1)","B"
162,1,28,14,1.187736,"\text{Not used}","int(coth(a + 2*log(x))^2/x,x)","\ln\left(x\right)-\frac{{\mathrm{e}}^{2\,a}\,x^4+1}{2\,\left(x^4\,{\mathrm{e}}^{2\,a}-1\right)}","Not used",1,"log(x) - (x^4*exp(2*a) + 1)/(2*(x^4*exp(2*a) - 1))","B"
163,1,60,86,1.212053,"\text{Not used}","int(coth(a + 2*log(x))^2/x^2,x)","\frac{{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,\mathrm{atanh}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{2}-\frac{{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\,\mathrm{atan}\left(x\,{\left({\mathrm{e}}^{2\,a}\right)}^{1/4}\right)}{2}+\frac{2\,x^4\,{\mathrm{e}}^{2\,a}-1}{x-x^5\,{\mathrm{e}}^{2\,a}}","Not used",1,"(exp(2*a)^(1/4)*atanh(x*exp(2*a)^(1/4)))/2 - (exp(2*a)^(1/4)*atan(x*exp(2*a)^(1/4)))/2 + (2*x^4*exp(2*a) - 1)/(x - x^5*exp(2*a))","B"
164,1,48,60,1.229726,"\text{Not used}","int(coth(a + 2*log(x))^2/x^3,x)","\mathrm{atanh}\left(x^2\,\sqrt{{\mathrm{e}}^{2\,a}}\right)\,\sqrt{{\mathrm{e}}^{2\,a}}-\frac{\frac{3\,x^4\,{\mathrm{e}}^{2\,a}}{2}-\frac{1}{2}}{x^6\,{\mathrm{e}}^{2\,a}-x^2}","Not used",1,"atanh(x^2*exp(2*a)^(1/2))*exp(2*a)^(1/2) - ((3*x^4*exp(2*a))/2 - 1/2)/(x^6*exp(2*a) - x^2)","B"
165,0,-1,59,0.000000,"\text{Not used}","int(coth(a + 2*log(x))*(e*x)^m,x)","\int \mathrm{coth}\left(a+2\,\ln\left(x\right)\right)\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(a + 2*log(x))*(e*x)^m, x)","F"
166,0,-1,79,0.000000,"\text{Not used}","int(coth(a + 2*log(x))^2*(e*x)^m,x)","\int {\mathrm{coth}\left(a+2\,\ln\left(x\right)\right)}^2\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(a + 2*log(x))^2*(e*x)^m, x)","F"
167,0,-1,177,0.000000,"\text{Not used}","int(coth(a + 2*log(x))^3*(e*x)^m,x)","\int {\mathrm{coth}\left(a+2\,\ln\left(x\right)\right)}^3\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(a + 2*log(x))^3*(e*x)^m, x)","F"
168,0,-1,79,0.000000,"\text{Not used}","int(coth(a + b*log(x))^p,x)","\int {\mathrm{coth}\left(a+b\,\ln\left(x\right)\right)}^p \,d x","Not used",1,"int(coth(a + b*log(x))^p, x)","F"
169,0,-1,99,0.000000,"\text{Not used}","int(coth(a + b*log(x))^p*(e*x)^m,x)","\int {\mathrm{coth}\left(a+b\,\ln\left(x\right)\right)}^p\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(a + b*log(x))^p*(e*x)^m, x)","F"
170,0,-1,52,0.000000,"\text{Not used}","int(coth(a + log(x)/2)^p,x)","\int {\mathrm{coth}\left(a+\frac{\ln\left(x\right)}{2}\right)}^p \,d x","Not used",1,"int(coth(a + log(x)/2)^p, x)","F"
171,0,-1,108,0.000000,"\text{Not used}","int(coth(a + log(x)/4)^p,x)","\int {\mathrm{coth}\left(a+\frac{\ln\left(x\right)}{4}\right)}^p \,d x","Not used",1,"int(coth(a + log(x)/4)^p, x)","F"
172,0,-1,162,0.000000,"\text{Not used}","int(coth(a + log(x)/6)^p,x)","\int {\mathrm{coth}\left(a+\frac{\ln\left(x\right)}{6}\right)}^p \,d x","Not used",1,"int(coth(a + log(x)/6)^p, x)","F"
173,0,-1,194,0.000000,"\text{Not used}","int(coth(a + log(x)/8)^p,x)","\int {\mathrm{coth}\left(a+\frac{\ln\left(x\right)}{8}\right)}^p \,d x","Not used",1,"int(coth(a + log(x)/8)^p, x)","F"
174,0,-1,61,0.000000,"\text{Not used}","int(coth(a + log(x))^p,x)","\int {\mathrm{coth}\left(a+\ln\left(x\right)\right)}^p \,d x","Not used",1,"int(coth(a + log(x))^p, x)","F"
175,0,-1,61,0.000000,"\text{Not used}","int(coth(a + 2*log(x))^p,x)","\int {\mathrm{coth}\left(a+2\,\ln\left(x\right)\right)}^p \,d x","Not used",1,"int(coth(a + 2*log(x))^p, x)","F"
176,0,-1,61,0.000000,"\text{Not used}","int(coth(a + 3*log(x))^p,x)","\int {\mathrm{coth}\left(a+3\,\ln\left(x\right)\right)}^p \,d x","Not used",1,"int(coth(a + 3*log(x))^p, x)","F"
177,0,-1,58,0.000000,"\text{Not used}","int(x^3*coth(d*(a + b*log(c*x^n))),x)","\int x^3\,\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right) \,d x","Not used",1,"int(x^3*coth(d*(a + b*log(c*x^n))), x)","F"
178,0,-1,62,0.000000,"\text{Not used}","int(x^2*coth(d*(a + b*log(c*x^n))),x)","\int x^2\,\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right) \,d x","Not used",1,"int(x^2*coth(d*(a + b*log(c*x^n))), x)","F"
179,0,-1,54,0.000000,"\text{Not used}","int(x*coth(d*(a + b*log(c*x^n))),x)","\int x\,\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right) \,d x","Not used",1,"int(x*coth(d*(a + b*log(c*x^n))), x)","F"
180,0,-1,52,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n))),x)","\int \mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right) \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n))), x)","F"
181,1,34,25,1.192769,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))/x,x)","\frac{\ln\left({\mathrm{e}}^{2\,a\,d}\,{\left(c\,x^n\right)}^{2\,b\,d}-1\right)}{b\,d\,n}-\ln\left(x\right)","Not used",1,"log(exp(2*a*d)*(c*x^n)^(2*b*d) - 1)/(b*d*n) - log(x)","B"
182,0,-1,58,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))/x^2,x)","\int \frac{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}{x^2} \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))/x^2, x)","F"
183,0,-1,55,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))/x^3,x)","\int \frac{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}{x^3} \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))/x^3, x)","F"
184,0,-1,132,0.000000,"\text{Not used}","int(x^3*coth(d*(a + b*log(c*x^n)))^2,x)","\int x^3\,{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2 \,d x","Not used",1,"int(x^3*coth(d*(a + b*log(c*x^n)))^2, x)","F"
185,0,-1,136,0.000000,"\text{Not used}","int(x^2*coth(d*(a + b*log(c*x^n)))^2,x)","\int x^2\,{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2 \,d x","Not used",1,"int(x^2*coth(d*(a + b*log(c*x^n)))^2, x)","F"
186,0,-1,130,0.000000,"\text{Not used}","int(x*coth(d*(a + b*log(c*x^n)))^2,x)","\int x\,{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2 \,d x","Not used",1,"int(x*coth(d*(a + b*log(c*x^n)))^2, x)","F"
187,0,-1,126,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^2,x)","\int {\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2 \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^2, x)","F"
188,1,34,28,1.188989,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^2/x,x)","\ln\left(x\right)-\frac{2}{b\,d\,n\,\left({\mathrm{e}}^{2\,a\,d}\,{\left(c\,x^n\right)}^{2\,b\,d}-1\right)}","Not used",1,"log(x) - 2/(b*d*n*(exp(2*a*d)*(c*x^n)^(2*b*d) - 1))","B"
189,0,-1,134,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^2/x^2,x)","\int \frac{{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2}{x^2} \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^2/x^2, x)","F"
190,0,-1,135,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^2/x^3,x)","\int \frac{{\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2}{x^3} \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^2/x^3, x)","F"
191,1,95,43,1.225379,"\text{Not used}","int(coth(a + b*log(c*x^n))^3/x,x)","\frac{2}{b\,n-b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}-\ln\left(x\right)-\frac{2}{b\,n-2\,b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}+b\,n\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}}+\frac{\ln\left({\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}-1\right)}{b\,n}","Not used",1,"2/(b*n - b*n*exp(2*a)*(c*x^n)^(2*b)) - log(x) - 2/(b*n - 2*b*n*exp(2*a)*(c*x^n)^(2*b) + b*n*exp(4*a)*(c*x^n)^(4*b)) + log(exp(2*a)*(c*x^n)^(2*b) - 1)/(b*n)","B"
192,1,163,45,1.208170,"\text{Not used}","int(coth(a + b*log(c*x^n))^4/x,x)","\ln\left(x\right)-\frac{\frac{4}{3\,b\,n}+\frac{4\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}}{3\,b\,n}}{3\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}-3\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}+{\mathrm{e}}^{6\,a}\,{\left(c\,x^n\right)}^{6\,b}-1}-\frac{4}{3\,b\,n\,\left({\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}-1\right)}-\frac{4\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}{3\,b\,n\,\left({\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}-2\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}+1\right)}","Not used",1,"log(x) - (4/(3*b*n) + (4*exp(4*a)*(c*x^n)^(4*b))/(3*b*n))/(3*exp(2*a)*(c*x^n)^(2*b) - 3*exp(4*a)*(c*x^n)^(4*b) + exp(6*a)*(c*x^n)^(6*b) - 1) - 4/(3*b*n*(exp(2*a)*(c*x^n)^(2*b) - 1)) - (4*exp(2*a)*(c*x^n)^(2*b))/(3*b*n*(exp(4*a)*(c*x^n)^(4*b) - 2*exp(2*a)*(c*x^n)^(2*b) + 1))","B"
193,1,229,66,1.199433,"\text{Not used}","int(coth(a + b*log(c*x^n))^5/x,x)","\frac{8}{b\,n-3\,b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}+3\,b\,n\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}-b\,n\,{\mathrm{e}}^{6\,a}\,{\left(c\,x^n\right)}^{6\,b}}-\ln\left(x\right)+\frac{4}{b\,n-b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}}-\frac{4}{b\,n-4\,b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}+6\,b\,n\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}-4\,b\,n\,{\mathrm{e}}^{6\,a}\,{\left(c\,x^n\right)}^{6\,b}+b\,n\,{\mathrm{e}}^{8\,a}\,{\left(c\,x^n\right)}^{8\,b}}-\frac{8}{b\,n-2\,b\,n\,{\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}+b\,n\,{\mathrm{e}}^{4\,a}\,{\left(c\,x^n\right)}^{4\,b}}+\frac{\ln\left({\mathrm{e}}^{2\,a}\,{\left(c\,x^n\right)}^{2\,b}-1\right)}{b\,n}","Not used",1,"8/(b*n - 3*b*n*exp(2*a)*(c*x^n)^(2*b) + 3*b*n*exp(4*a)*(c*x^n)^(4*b) - b*n*exp(6*a)*(c*x^n)^(6*b)) - log(x) + 4/(b*n - b*n*exp(2*a)*(c*x^n)^(2*b)) - 4/(b*n - 4*b*n*exp(2*a)*(c*x^n)^(2*b) + 6*b*n*exp(4*a)*(c*x^n)^(4*b) - 4*b*n*exp(6*a)*(c*x^n)^(6*b) + b*n*exp(8*a)*(c*x^n)^(8*b)) - 8/(b*n - 2*b*n*exp(2*a)*(c*x^n)^(2*b) + b*n*exp(4*a)*(c*x^n)^(4*b)) + log(exp(2*a)*(c*x^n)^(2*b) - 1)/(b*n)","B"
194,0,-1,87,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))*(e*x)^m,x)","\int \mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))*(e*x)^m, x)","F"
195,0,-1,168,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^2*(e*x)^m,x)","\int {\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^2\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^2*(e*x)^m, x)","F"
196,0,-1,306,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^3*(e*x)^m,x)","\int {\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^3\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^3*(e*x)^m, x)","F"
197,0,-1,115,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^p,x)","\int {\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^p \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^p, x)","F"
198,0,-1,135,0.000000,"\text{Not used}","int(coth(d*(a + b*log(c*x^n)))^p*(e*x)^m,x)","\int {\mathrm{coth}\left(d\,\left(a+b\,\ln\left(c\,x^n\right)\right)\right)}^p\,{\left(e\,x\right)}^m \,d x","Not used",1,"int(coth(d*(a + b*log(c*x^n)))^p*(e*x)^m, x)","F"
199,1,65,73,2.240863,"\text{Not used}","int(coth(a + b*log(c*x^n))^(5/2)/x,x)","\frac{\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}-\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}-\frac{2\,{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{3/2}}{3\,b\,n}","Not used",1,"atanh(coth(a + b*log(c*x^n))^(1/2))/(b*n) - atan(coth(a + b*log(c*x^n))^(1/2))/(b*n) - (2*coth(a + b*log(c*x^n))^(3/2))/(3*b*n)","B"
200,1,51,70,1.859997,"\text{Not used}","int(coth(a + b*log(c*x^n))^(3/2)/x,x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)+\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)-2\,\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}}{b\,n}","Not used",1,"(atan(coth(a + b*log(c*x^n))^(1/2)) + atanh(coth(a + b*log(c*x^n))^(1/2)) - 2*coth(a + b*log(c*x^n))^(1/2))/(b*n)","B"
201,1,39,48,1.504701,"\text{Not used}","int(coth(a + b*log(c*x^n))^(1/2)/x,x)","-\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)-\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}","Not used",1,"-(atan(coth(a + b*log(c*x^n))^(1/2)) - atanh(coth(a + b*log(c*x^n))^(1/2)))/(b*n)","B"
202,1,36,47,1.643600,"\text{Not used}","int(1/(x*coth(a + b*log(c*x^n))^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)+\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}","Not used",1,"(atan(coth(a + b*log(c*x^n))^(1/2)) + atanh(coth(a + b*log(c*x^n))^(1/2)))/(b*n)","B"
203,1,65,71,1.741799,"\text{Not used}","int(1/(x*coth(a + b*log(c*x^n))^(3/2)),x)","\frac{\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}-\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}-\frac{2}{b\,n\,\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}}","Not used",1,"atanh(coth(a + b*log(c*x^n))^(1/2))/(b*n) - atan(coth(a + b*log(c*x^n))^(1/2))/(b*n) - 2/(b*n*coth(a + b*log(c*x^n))^(1/2))","B"
204,1,64,72,2.390592,"\text{Not used}","int(1/(x*coth(a + b*log(c*x^n))^(5/2)),x)","\frac{\mathrm{atan}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}+\frac{\mathrm{atanh}\left(\sqrt{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}\right)}{b\,n}-\frac{2}{3\,b\,n\,{\mathrm{coth}\left(a+b\,\ln\left(c\,x^n\right)\right)}^{3/2}}","Not used",1,"atan(coth(a + b*log(c*x^n))^(1/2))/(b*n) + atanh(coth(a + b*log(c*x^n))^(1/2))/(b*n) - 2/(3*b*n*coth(a + b*log(c*x^n))^(3/2))","B"
205,0,-1,135,0.000000,"\text{Not used}","int(coth(x)^5/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^5}{\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)^5/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
206,0,-1,105,0.000000,"\text{Not used}","int(coth(x)^3/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \frac{{\mathrm{coth}\left(x\right)}^3}{\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)^3/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
207,0,-1,58,0.000000,"\text{Not used}","int(coth(x)/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \frac{\mathrm{coth}\left(x\right)}{\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a}} \,d x","Not used",1,"int(coth(x)/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
208,0,-1,106,0.000000,"\text{Not used}","int(tanh(x)/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \frac{\mathrm{tanh}\left(x\right)}{\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a}} \,d x","Not used",1,"int(tanh(x)/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
209,0,-1,183,0.000000,"\text{Not used}","int(tanh(x)^3/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \frac{{\mathrm{tanh}\left(x\right)}^3}{\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a}} \,d x","Not used",1,"int(tanh(x)^3/(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
210,0,-1,132,0.000000,"\text{Not used}","int(coth(x)*(a + b*coth(x)^2 + c*coth(x)^4)^(1/2),x)","\int \mathrm{coth}\left(x\right)\,\sqrt{c\,{\mathrm{coth}\left(x\right)}^4+b\,{\mathrm{coth}\left(x\right)}^2+a} \,d x","Not used",1,"int(coth(x)*(a + b*coth(x)^2 + c*coth(x)^4)^(1/2), x)","F"
211,0,-1,319,0.000000,"\text{Not used}","int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(5/2),x)","\int {\mathrm{e}}^{c\,\left(a+b\,x\right)}\,{\left({\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2\right)}^{5/2} \,d x","Not used",1,"int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(5/2), x)","F"
212,0,-1,197,0.000000,"\text{Not used}","int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(3/2),x)","\int {\mathrm{e}}^{c\,\left(a+b\,x\right)}\,{\left({\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(3/2), x)","F"
213,0,-1,83,0.000000,"\text{Not used}","int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(1/2),x)","\int {\mathrm{e}}^{c\,\left(a+b\,x\right)}\,\sqrt{{\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2} \,d x","Not used",1,"int(exp(c*(a + b*x))*(coth(a*c + b*c*x)^2)^(1/2), x)","F"
214,0,-1,83,0.000000,"\text{Not used}","int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{c\,\left(a+b\,x\right)}}{\sqrt{{\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2}} \,d x","Not used",1,"int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(1/2), x)","F"
215,0,-1,193,0.000000,"\text{Not used}","int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(3/2),x)","\int \frac{{\mathrm{e}}^{c\,\left(a+b\,x\right)}}{{\left({\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(3/2), x)","F"
216,0,-1,311,0.000000,"\text{Not used}","int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(5/2),x)","\int \frac{{\mathrm{e}}^{c\,\left(a+b\,x\right)}}{{\left({\mathrm{coth}\left(a\,c+b\,c\,x\right)}^2\right)}^{5/2}} \,d x","Not used",1,"int(exp(c*(a + b*x))/(coth(a*c + b*c*x)^2)^(5/2), x)","F"
217,0,-1,157,0.000000,"\text{Not used}","int(sin(coth(a + b*x))^3,x)","\int {\sin\left(\mathrm{coth}\left(a+b\,x\right)\right)}^3 \,d x","Not used",1,"int(sin(coth(a + b*x))^3, x)","F"
218,0,-1,115,0.000000,"\text{Not used}","int(sin(coth(a + b*x))^2,x)","\int {\sin\left(\mathrm{coth}\left(a+b\,x\right)\right)}^2 \,d x","Not used",1,"int(sin(coth(a + b*x))^2, x)","F"
219,0,-1,77,0.000000,"\text{Not used}","int(sin(coth(a + b*x)),x)","\int \sin\left(\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(sin(coth(a + b*x)), x)","F"
220,0,-1,67,0.000000,"\text{Not used}","int(1/sin(coth(a + b*x)),x)","\int \frac{1}{\sin\left(\mathrm{coth}\left(a+b\,x\right)\right)} \,d x","Not used",0,"int(1/sin(coth(a + b*x)), x)","F"
221,0,-1,157,0.000000,"\text{Not used}","int(cos(coth(a + b*x))^3,x)","\int {\cos\left(\mathrm{coth}\left(a+b\,x\right)\right)}^3 \,d x","Not used",1,"int(cos(coth(a + b*x))^3, x)","F"
222,0,-1,115,0.000000,"\text{Not used}","int(cos(coth(a + b*x))^2,x)","\int {\cos\left(\mathrm{coth}\left(a+b\,x\right)\right)}^2 \,d x","Not used",1,"int(cos(coth(a + b*x))^2, x)","F"
223,0,-1,77,0.000000,"\text{Not used}","int(cos(coth(a + b*x)),x)","\int \cos\left(\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(cos(coth(a + b*x)), x)","F"
224,0,-1,67,0.000000,"\text{Not used}","int(1/cos(coth(a + b*x)),x)","\int \frac{1}{\cos\left(\mathrm{coth}\left(a+b\,x\right)\right)} \,d x","Not used",0,"int(1/cos(coth(a + b*x)), x)","F"