1,1,171,114,1.256582,"\text{Not used}","int(x^3/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{13\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{31\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{49\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{12}-\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}+\frac{3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a^4}","Not used",1,"((13*((a*x - 1)/(a*x + 1))^(1/2))/4 - (31*((a*x - 1)/(a*x + 1))^(3/2))/12 + (49*((a*x - 1)/(a*x + 1))^(5/2))/12 - (3*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) + (3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a^4)","B"
2,1,133,90,0.063037,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{3\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}+\frac{\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^3}","Not used",1,"(3*((a*x - 1)/(a*x + 1))^(1/2) - (4*((a*x - 1)/(a*x + 1))^(3/2))/3 + ((a*x - 1)/(a*x + 1))^(5/2))/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) + atanh(((a*x - 1)/(a*x + 1))^(1/2))/a^3","B"
3,1,98,63,0.063097,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{3\,\sqrt{\frac{a\,x-1}{a\,x+1}}-{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}+\frac{\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^2}","Not used",1,"(3*((a*x - 1)/(a*x + 1))^(1/2) - ((a*x - 1)/(a*x + 1))^(3/2))/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) + atanh(((a*x - 1)/(a*x + 1))^(1/2))/a^2","B"
4,1,58,36,0.043971,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}+\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1)) + (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
5,1,37,22,1.180074,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(1/2)),x)","2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)","Not used",1,"2*atan(((a*x - 1)/(a*x + 1))^(1/2)) + 2*atanh(((a*x - 1)/(a*x + 1))^(1/2))","B"
6,1,55,24,0.054826,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","2\,a\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+\frac{2\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\frac{a\,x-1}{a\,x+1}+1}","Not used",1,"2*a*atan(((a*x - 1)/(a*x + 1))^(1/2)) + (2*a*((a*x - 1)/(a*x + 1))^(1/2))/((a*x - 1)/(a*x + 1) + 1)","B"
7,1,81,38,1.202578,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,x^2}+a^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+\frac{3\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,x}","Not used",1,"a^2*((a*x - 1)/(a*x + 1))^(1/2) + ((a*x - 1)/(a*x + 1))^(1/2)/(2*x^2) + a^2*atan(((a*x - 1)/(a*x + 1))^(1/2)) + (3*a*((a*x - 1)/(a*x + 1))^(1/2))/(2*x)","B"
8,1,105,75,0.063979,"\text{Not used}","int(1/(x^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,x^3}+a^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+\frac{7\,a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,x}+\frac{5\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,x^2}","Not used",1,"(2*a^3*((a*x - 1)/(a*x + 1))^(1/2))/3 + ((a*x - 1)/(a*x + 1))^(1/2)/(3*x^3) + a^3*atan(((a*x - 1)/(a*x + 1))^(1/2)) + (7*a^2*((a*x - 1)/(a*x + 1))^(1/2))/(6*x) + (5*a*((a*x - 1)/(a*x + 1))^(1/2))/(6*x^2)","B"
9,1,129,88,0.084553,"\text{Not used}","int(1/(x^5*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,a^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,x^4}+\frac{3\,a^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4}+\frac{17\,a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{24\,x^2}+\frac{25\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{24\,x}+\frac{7\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{12\,x^3}","Not used",1,"(2*a^4*((a*x - 1)/(a*x + 1))^(1/2))/3 + ((a*x - 1)/(a*x + 1))^(1/2)/(4*x^4) + (3*a^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/4 + (17*a^2*((a*x - 1)/(a*x + 1))^(1/2))/(24*x^2) + (25*a^3*((a*x - 1)/(a*x + 1))^(1/2))/(24*x) + (7*a*((a*x - 1)/(a*x + 1))^(1/2))/(12*x^3)","B"
10,1,38,43,0.036308,"\text{Not used}","int((x^3*(a*x + 1))/(a*x - 1),x)","\frac{2\,\ln\left(a\,x-1\right)}{a^4}+\frac{2\,x}{a^3}+\frac{x^4}{4}+\frac{2\,x^3}{3\,a}+\frac{x^2}{a^2}","Not used",1,"(2*log(a*x - 1))/a^4 + (2*x)/a^3 + x^4/4 + (2*x^3)/(3*a) + x^2/a^2","B"
11,1,30,33,0.036223,"\text{Not used}","int((x^2*(a*x + 1))/(a*x - 1),x)","\frac{2\,\ln\left(a\,x-1\right)}{a^3}+\frac{2\,x}{a^2}+\frac{x^3}{3}+\frac{x^2}{a}","Not used",1,"(2*log(a*x - 1))/a^3 + (2*x)/a^2 + x^3/3 + x^2/a","B"
12,1,23,26,0.040713,"\text{Not used}","int((x*(a*x + 1))/(a*x - 1),x)","\frac{2\,\ln\left(a\,x-1\right)}{a^2}+\frac{2\,x}{a}+\frac{x^2}{2}","Not used",1,"(2*log(a*x - 1))/a^2 + (2*x)/a + x^2/2","B"
13,1,13,14,1.171307,"\text{Not used}","int((a*x + 1)/(a*x - 1),x)","x+\frac{2\,\ln\left(a\,x-1\right)}{a}","Not used",1,"x + (2*log(a*x - 1))/a","B"
14,1,14,14,0.043148,"\text{Not used}","int((a*x + 1)/(x*(a*x - 1)),x)","2\,\ln\left(3-3\,a\,x\right)-\ln\left(x\right)","Not used",1,"2*log(3 - 3*a*x) - log(x)","B"
15,1,14,19,1.190276,"\text{Not used}","int((a*x + 1)/(x^2*(a*x - 1)),x)","\frac{1}{x}-4\,a\,\mathrm{atanh}\left(2\,a\,x-1\right)","Not used",1,"1/x - 4*a*atanh(2*a*x - 1)","B"
16,1,23,33,0.043856,"\text{Not used}","int((a*x + 1)/(x^3*(a*x - 1)),x)","\frac{2\,a\,x+\frac{1}{2}}{x^2}-4\,a^2\,\mathrm{atanh}\left(2\,a\,x-1\right)","Not used",1,"(2*a*x + 1/2)/x^2 - 4*a^2*atanh(2*a*x - 1)","B"
17,1,30,40,0.041827,"\text{Not used}","int((a*x + 1)/(x^4*(a*x - 1)),x)","\frac{2\,a^2\,x^2+a\,x+\frac{1}{3}}{x^3}-4\,a^3\,\mathrm{atanh}\left(2\,a\,x-1\right)","Not used",1,"(a*x + 2*a^2*x^2 + 1/3)/x^3 - 4*a^3*atanh(2*a*x - 1)","B"
18,1,154,118,1.257393,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{11\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^3}-\frac{\frac{88\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{11\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{25\,\left(a\,x-1\right)}{a\,x+1}+4}{a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}-3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}+3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(11*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a^3 - ((88*(a*x - 1)^2)/(3*(a*x + 1)^2) - (11*(a*x - 1)^3)/(a*x + 1)^3 - (25*(a*x - 1))/(a*x + 1) + 4)/(a^3*((a*x - 1)/(a*x + 1))^(1/2) - 3*a^3*((a*x - 1)/(a*x + 1))^(3/2) + 3*a^3*((a*x - 1)/(a*x + 1))^(5/2) - a^3*((a*x - 1)/(a*x + 1))^(7/2))","B"
19,1,117,92,0.064803,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{9\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^2}-\frac{\frac{9\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{15\,\left(a\,x-1\right)}{a\,x+1}+4}{a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}-2\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}+a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(9*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a^2 - ((9*(a*x - 1)^2)/(a*x + 1)^2 - (15*(a*x - 1))/(a*x + 1) + 4)/(a^2*((a*x - 1)/(a*x + 1))^(1/2) - 2*a^2*((a*x - 1)/(a*x + 1))^(3/2) + a^2*((a*x - 1)/(a*x + 1))^(5/2))","B"
20,1,59,62,1.293337,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,a\,x+12\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}-10}{2\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x + 12*atanh(((a*x - 1)/(a*x + 1))^(1/2))*((a*x - 1)/(a*x + 1))^(1/2) - 10)/(2*a*((a*x - 1)/(a*x + 1))^(1/2))","B"
21,1,54,46,0.036656,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(3/2)),x)","2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-\frac{4}{\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"2*atanh(((a*x - 1)/(a*x + 1))^(1/2)) - 2*atan(((a*x - 1)/(a*x + 1))^(1/2)) - 4/((a*x - 1)/(a*x + 1))^(1/2)","B"
22,1,57,51,0.048704,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{1}{x\,\sqrt{\frac{a\,x-1}{a\,x+1}}}-6\,a\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-\frac{5\,a}{\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"1/(x*((a*x - 1)/(a*x + 1))^(1/2)) - 6*a*atan(((a*x - 1)/(a*x + 1))^(1/2)) - (5*a)/((a*x - 1)/(a*x + 1))^(1/2)","B"
23,1,83,91,0.075640,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{1}{2\,x^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}-\frac{7\,a^2}{\sqrt{\frac{a\,x-1}{a\,x+1}}}-9\,a^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+\frac{5\,a}{2\,x\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"1/(2*x^2*((a*x - 1)/(a*x + 1))^(1/2)) - (7*a^2)/((a*x - 1)/(a*x + 1))^(1/2) - 9*a^2*atan(((a*x - 1)/(a*x + 1))^(1/2)) + (5*a)/(2*x*((a*x - 1)/(a*x + 1))^(1/2))","B"
24,1,152,93,1.240175,"\text{Not used}","int(1/(x^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{4\,a^3+\frac{88\,a^3\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}+\frac{11\,a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{25\,a^3\,\left(a\,x-1\right)}{a\,x+1}}{\sqrt{\frac{a\,x-1}{a\,x+1}}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}+{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}-11\,a^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)","Not used",1,"- (4*a^3 + (88*a^3*(a*x - 1)^2)/(3*(a*x + 1)^2) + (11*a^3*(a*x - 1)^3)/(a*x + 1)^3 + (25*a^3*(a*x - 1))/(a*x + 1))/(((a*x - 1)/(a*x + 1))^(1/2) + 3*((a*x - 1)/(a*x + 1))^(3/2) + 3*((a*x - 1)/(a*x + 1))^(5/2) + ((a*x - 1)/(a*x + 1))^(7/2)) - 11*a^3*atan(((a*x - 1)/(a*x + 1))^(1/2))","B"
25,1,57,57,0.043632,"\text{Not used}","int((x^3*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{16\,\ln\left(a\,x-1\right)}{a^4}-\frac{4}{a\,\left(a^4\,x-a^3\right)}+\frac{12\,x}{a^3}+\frac{x^4}{4}+\frac{4\,x^3}{3\,a}+\frac{4\,x^2}{a^2}","Not used",1,"(16*log(a*x - 1))/a^4 - 4/(a*(a^4*x - a^3)) + (12*x)/a^3 + x^4/4 + (4*x^3)/(3*a) + (4*x^2)/a^2","B"
26,1,49,47,1.167102,"\text{Not used}","int((x^2*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{12\,\ln\left(a\,x-1\right)}{a^3}-\frac{4}{a\,\left(a^3\,x-a^2\right)}+\frac{8\,x}{a^2}+\frac{x^3}{3}+\frac{2\,x^2}{a}","Not used",1,"(12*log(a*x - 1))/a^3 - 4/(a*(a^3*x - a^2)) + (8*x)/a^2 + x^3/3 + (2*x^2)/a","B"
27,1,38,39,0.041953,"\text{Not used}","int((x*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{8\,\ln\left(a\,x-1\right)}{a^2}+\frac{4\,x}{a}+\frac{x^2}{2}+\frac{4}{a\,\left(a-a^2\,x\right)}","Not used",1,"(8*log(a*x - 1))/a^2 + (4*x)/a + x^2/2 + 4/(a*(a - a^2*x))","B"
28,1,25,27,0.035738,"\text{Not used}","int((a*x + 1)^2/(a*x - 1)^2,x)","x-\frac{4}{a\,\left(a\,x-1\right)}+\frac{4\,\ln\left(a\,x-1\right)}{a}","Not used",1,"x - 4/(a*(a*x - 1)) + (4*log(a*x - 1))/a","B"
29,1,12,13,0.034364,"\text{Not used}","int((a*x + 1)^2/(x*(a*x - 1)^2),x)","\ln\left(x\right)-\frac{4}{a\,x-1}","Not used",1,"log(x) - 4/(a*x - 1)","B"
30,1,28,32,0.051783,"\text{Not used}","int((a*x + 1)^2/(x^2*(a*x - 1)^2),x)","8\,a\,\mathrm{atanh}\left(2\,a\,x-1\right)+\frac{5\,a\,x-1}{x-a\,x^2}","Not used",1,"8*a*atanh(2*a*x - 1) + (5*a*x - 1)/(x - a*x^2)","B"
31,1,41,46,1.196385,"\text{Not used}","int((a*x + 1)^2/(x^3*(a*x - 1)^2),x)","16\,a^2\,\mathrm{atanh}\left(2\,a\,x-1\right)+\frac{-8\,a^2\,x^2+\frac{7\,a\,x}{2}+\frac{1}{2}}{a\,x^3-x^2}","Not used",1,"16*a^2*atanh(2*a*x - 1) + ((7*a*x)/2 - 8*a^2*x^2 + 1/2)/(a*x^3 - x^2)","B"
32,1,49,54,0.061532,"\text{Not used}","int((a*x + 1)^2/(x^4*(a*x - 1)^2),x)","24\,a^3\,\mathrm{atanh}\left(2\,a\,x-1\right)+\frac{-12\,a^3\,x^3+6\,a^2\,x^2+\frac{5\,a\,x}{3}+\frac{1}{3}}{a\,x^4-x^3}","Not used",1,"24*a^3*atanh(2*a*x - 1) + ((5*a*x)/3 + 6*a^2*x^2 - 12*a^3*x^3 + 1/3)/(a*x^4 - x^3)","B"
33,1,172,114,1.213434,"\text{Not used}","int(x^3*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a^4}-\frac{\frac{3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{49\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{31\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{12}-\frac{13\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a^4) - ((3*((a*x - 1)/(a*x + 1))^(1/2))/4 - (49*((a*x - 1)/(a*x + 1))^(3/2))/12 + (31*((a*x - 1)/(a*x + 1))^(5/2))/12 - (13*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1))","B"
34,1,134,90,0.054499,"\text{Not used}","int(x^2*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^3}","Not used",1,"(((a*x - 1)/(a*x + 1))^(1/2) - (4*((a*x - 1)/(a*x + 1))^(3/2))/3 + 3*((a*x - 1)/(a*x + 1))^(5/2))/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) - atanh(((a*x - 1)/(a*x + 1))^(1/2))/a^3","B"
35,1,97,64,0.057100,"\text{Not used}","int(x*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^2}-\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}-3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"atanh(((a*x - 1)/(a*x + 1))^(1/2))/a^2 - (((a*x - 1)/(a*x + 1))^(1/2) - 3*((a*x - 1)/(a*x + 1))^(3/2))/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1))","B"
36,1,58,37,1.189345,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1)) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
37,1,37,20,0.030886,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/x,x)","2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)","Not used",1,"2*atanh(((a*x - 1)/(a*x + 1))^(1/2)) - 2*atan(((a*x - 1)/(a*x + 1))^(1/2))","B"
38,1,55,25,1.197789,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/x^2,x)","2\,a\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-\frac{2\,a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\frac{a\,x-1}{a\,x+1}+1}","Not used",1,"2*a*atan(((a*x - 1)/(a*x + 1))^(1/2)) - (2*a*((a*x - 1)/(a*x + 1))^(1/2))/((a*x - 1)/(a*x + 1) + 1)","B"
39,1,82,40,1.200542,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/x^3,x)","a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,x^2}-a^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+\frac{a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,x}","Not used",1,"a^2*((a*x - 1)/(a*x + 1))^(1/2) - ((a*x - 1)/(a*x + 1))^(1/2)/(2*x^2) - a^2*atan(((a*x - 1)/(a*x + 1))^(1/2)) + (a*((a*x - 1)/(a*x + 1))^(1/2))/(2*x)","B"
40,1,105,76,1.204206,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/x^4,x)","a^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,x^3}-\frac{2\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3}-\frac{a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,x}+\frac{a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,x^2}","Not used",1,"a^3*atan(((a*x - 1)/(a*x + 1))^(1/2)) - ((a*x - 1)/(a*x + 1))^(1/2)/(3*x^3) - (2*a^3*((a*x - 1)/(a*x + 1))^(1/2))/3 - (a^2*((a*x - 1)/(a*x + 1))^(1/2))/(6*x) + (a*((a*x - 1)/(a*x + 1))^(1/2))/(6*x^2)","B"
41,1,129,88,1.221370,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/x^5,x)","\frac{2\,a^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3}-\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,x^4}-\frac{3\,a^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4}-\frac{a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{24\,x^2}+\frac{7\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{24\,x}+\frac{a\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{12\,x^3}","Not used",1,"(2*a^4*((a*x - 1)/(a*x + 1))^(1/2))/3 - ((a*x - 1)/(a*x + 1))^(1/2)/(4*x^4) - (3*a^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/4 - (a^2*((a*x - 1)/(a*x + 1))^(1/2))/(24*x^2) + (7*a^3*((a*x - 1)/(a*x + 1))^(1/2))/(24*x) + (a*((a*x - 1)/(a*x + 1))^(1/2))/(12*x^3)","B"
42,1,38,42,1.170643,"\text{Not used}","int((x^3*(a*x - 1))/(a*x + 1),x)","\frac{2\,\ln\left(a\,x+1\right)}{a^4}-\frac{2\,x}{a^3}+\frac{x^4}{4}-\frac{2\,x^3}{3\,a}+\frac{x^2}{a^2}","Not used",1,"(2*log(a*x + 1))/a^4 - (2*x)/a^3 + x^4/4 - (2*x^3)/(3*a) + x^2/a^2","B"
43,1,31,33,0.037413,"\text{Not used}","int((x^2*(a*x - 1))/(a*x + 1),x)","\frac{2\,x}{a^2}-\frac{2\,\ln\left(a\,x+1\right)}{a^3}+\frac{x^3}{3}-\frac{x^2}{a}","Not used",1,"(2*x)/a^2 - (2*log(a*x + 1))/a^3 + x^3/3 - x^2/a","B"
44,1,23,25,0.039013,"\text{Not used}","int((x*(a*x - 1))/(a*x + 1),x)","\frac{2\,\ln\left(a\,x+1\right)}{a^2}-\frac{2\,x}{a}+\frac{x^2}{2}","Not used",1,"(2*log(a*x + 1))/a^2 - (2*x)/a + x^2/2","B"
45,1,13,13,0.028968,"\text{Not used}","int((a*x - 1)/(a*x + 1),x)","x-\frac{2\,\ln\left(a\,x+1\right)}{a}","Not used",1,"x - (2*log(a*x + 1))/a","B"
46,1,14,13,0.043476,"\text{Not used}","int((a*x - 1)/(x*(a*x + 1)),x)","2\,\ln\left(-3\,a\,x-3\right)-\ln\left(x\right)","Not used",1,"2*log(- 3*a*x - 3) - log(x)","B"
47,1,14,18,1.195959,"\text{Not used}","int((a*x - 1)/(x^2*(a*x + 1)),x)","\frac{1}{x}-4\,a\,\mathrm{atanh}\left(2\,a\,x+1\right)","Not used",1,"1/x - 4*a*atanh(2*a*x + 1)","B"
48,1,24,32,0.043561,"\text{Not used}","int((a*x - 1)/(x^3*(a*x + 1)),x)","4\,a^2\,\mathrm{atanh}\left(2\,a\,x+1\right)-\frac{2\,a\,x-\frac{1}{2}}{x^2}","Not used",1,"4*a^2*atanh(2*a*x + 1) - (2*a*x - 1/2)/x^2","B"
49,1,31,40,1.211150,"\text{Not used}","int((a*x - 1)/(x^4*(a*x + 1)),x)","\frac{2\,a^2\,x^2-a\,x+\frac{1}{3}}{x^3}-4\,a^3\,\mathrm{atanh}\left(2\,a\,x+1\right)","Not used",1,"(2*a^2*x^2 - a*x + 1/3)/x^3 - 4*a^3*atanh(2*a*x + 1)","B"
50,1,192,136,0.076158,"\text{Not used}","int(x^3*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{51\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a^4}-\frac{\frac{35\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{123\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}+\frac{149\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{4}-\frac{77\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}-\frac{4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a^4}","Not used",1,"(51*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a^4) - ((35*((a*x - 1)/(a*x + 1))^(1/2))/4 - (123*((a*x - 1)/(a*x + 1))^(3/2))/4 + (149*((a*x - 1)/(a*x + 1))^(5/2))/4 - (77*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) - (4*((a*x - 1)/(a*x + 1))^(1/2))/a^4","B"
51,1,156,116,0.058330,"\text{Not used}","int(x^2*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{7\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{52\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+13\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}+\frac{4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a^3}-\frac{11\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^3}","Not used",1,"(7*((a*x - 1)/(a*x + 1))^(1/2) - (52*((a*x - 1)/(a*x + 1))^(3/2))/3 + 13*((a*x - 1)/(a*x + 1))^(5/2))/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) + (4*((a*x - 1)/(a*x + 1))^(1/2))/a^3 - (11*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a^3","B"
52,1,120,90,1.222912,"\text{Not used}","int(x*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{9\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a^2}-\frac{4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a^2}-\frac{5\,\sqrt{\frac{a\,x-1}{a\,x+1}}-7\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(9*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a^2 - (4*((a*x - 1)/(a*x + 1))^(1/2))/a^2 - (5*((a*x - 1)/(a*x + 1))^(1/2) - 7*((a*x - 1)/(a*x + 1))^(3/2))/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1))","B"
53,1,78,60,0.039705,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}+\frac{4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1)) + (4*((a*x - 1)/(a*x + 1))^(1/2))/a - (6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
54,1,54,46,0.033005,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/x,x)","2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)+2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-4\,\sqrt{\frac{a\,x-1}{a\,x+1}}","Not used",1,"2*atan(((a*x - 1)/(a*x + 1))^(1/2)) + 2*atanh(((a*x - 1)/(a*x + 1))^(1/2)) - 4*((a*x - 1)/(a*x + 1))^(1/2)","B"
55,1,59,53,0.048037,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/x^2,x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}+5\,a\,x\,\sqrt{\frac{a\,x-1}{a\,x+1}}-6\,a\,x\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{x}","Not used",1,"(((a*x - 1)/(a*x + 1))^(1/2) + 5*a*x*((a*x - 1)/(a*x + 1))^(1/2) - 6*a*x*atan(((a*x - 1)/(a*x + 1))^(1/2)))/x","B"
56,1,118,87,0.058956,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/x^3,x)","9\,a^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)-\frac{5\,a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+7\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}-4\,a^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}","Not used",1,"9*a^2*atan(((a*x - 1)/(a*x + 1))^(1/2)) - (5*a^2*((a*x - 1)/(a*x + 1))^(1/2) + 7*a^2*((a*x - 1)/(a*x + 1))^(3/2))/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) - 4*a^2*((a*x - 1)/(a*x + 1))^(1/2)","B"
57,1,153,96,1.232342,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/x^4,x)","\frac{7\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{52\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+13\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}+4\,a^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}-11\,a^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)","Not used",1,"(7*a^3*((a*x - 1)/(a*x + 1))^(1/2) + (52*a^3*((a*x - 1)/(a*x + 1))^(3/2))/3 + 13*a^3*((a*x - 1)/(a*x + 1))^(5/2))/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) + 4*a^3*((a*x - 1)/(a*x + 1))^(1/2) - 11*a^3*atan(((a*x - 1)/(a*x + 1))^(1/2))","B"
58,1,190,133,1.236378,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/x^5,x)","\frac{51\,a^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4}-4\,a^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{\frac{35\,a^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{123\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}+\frac{149\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{4}+\frac{77\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{\frac{6\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}+\frac{4\,\left(a\,x-1\right)}{a\,x+1}+1}","Not used",1,"(51*a^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/4 - 4*a^4*((a*x - 1)/(a*x + 1))^(1/2) - ((35*a^4*((a*x - 1)/(a*x + 1))^(1/2))/4 + (123*a^4*((a*x - 1)/(a*x + 1))^(3/2))/4 + (149*a^4*((a*x - 1)/(a*x + 1))^(5/2))/4 + (77*a^4*((a*x - 1)/(a*x + 1))^(7/2))/4)/((6*(a*x - 1)^2)/(a*x + 1)^2 + (4*(a*x - 1)^3)/(a*x + 1)^3 + (a*x - 1)^4/(a*x + 1)^4 + (4*(a*x - 1))/(a*x + 1) + 1)","B"
59,1,229,253,0.107217,"\text{Not used}","int(x^4/((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{481\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{192}-\frac{7\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{6}+\frac{509\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{96}-\frac{29\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/4}}{40}+\frac{31\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{19/4}}{64}}{a^5+\frac{10\,a^5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a^5\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a^5\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a^5\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{5\,a^5\,\left(a\,x-1\right)}{a\,x+1}}-\frac{31\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}+\frac{31\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}","Not used",1,"((481*((a*x - 1)/(a*x + 1))^(3/4))/192 - (7*((a*x - 1)/(a*x + 1))^(7/4))/6 + (509*((a*x - 1)/(a*x + 1))^(11/4))/96 - (29*((a*x - 1)/(a*x + 1))^(15/4))/40 + (31*((a*x - 1)/(a*x + 1))^(19/4))/64)/(a^5 + (10*a^5*(a*x - 1)^2)/(a*x + 1)^2 - (10*a^5*(a*x - 1)^3)/(a*x + 1)^3 + (5*a^5*(a*x - 1)^4)/(a*x + 1)^4 - (a^5*(a*x - 1)^5)/(a*x + 1)^5 - (5*a^5*(a*x - 1))/(a*x + 1)) - (31*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) + (31*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5)","B"
60,1,192,216,1.242081,"\text{Not used}","int(x^3/((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{245\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{96}-\frac{107\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{96}+\frac{93\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{32}-\frac{11\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/4}}{32}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}-\frac{11\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}+\frac{11\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}","Not used",1,"((245*((a*x - 1)/(a*x + 1))^(3/4))/96 - (107*((a*x - 1)/(a*x + 1))^(7/4))/96 + (93*((a*x - 1)/(a*x + 1))^(11/4))/32 - (11*((a*x - 1)/(a*x + 1))^(15/4))/32)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) - (11*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) + (11*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4)","B"
61,1,157,179,0.080901,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{29\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{12}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}+\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{4}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}-\frac{3\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}+\frac{3\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}","Not used",1,"((29*((a*x - 1)/(a*x + 1))^(3/4))/12 - ((a*x - 1)/(a*x + 1))^(7/4)/2 + (3*((a*x - 1)/(a*x + 1))^(11/4))/4)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) - (3*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) + (3*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3)","B"
62,1,120,142,0.077339,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{2}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}+\frac{\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}","Not used",1,"((5*((a*x - 1)/(a*x + 1))^(3/4))/2 - ((a*x - 1)/(a*x + 1))^(7/4)/2)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) - atan(((a*x - 1)/(a*x + 1))^(1/4))/(4*a^2) + atanh(((a*x - 1)/(a*x + 1))^(1/4))/(4*a^2)","B"
63,1,78,96,0.064860,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}+\frac{\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(3/4))/(a - (a*(a*x - 1))/(a*x + 1)) - atan(((a*x - 1)/(a*x + 1))^(1/4))/a + atanh(((a*x - 1)/(a*x + 1))^(1/4))/a","B"
64,1,101,291,0.082753,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(1/4)),x)","-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}-2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)","Not used",1,"2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 - 1i) - 2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i + 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 + 1i)","B"
65,1,87,267,1.194819,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(1/4)),x)","{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)+\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{\frac{a\,x-1}{a\,x+1}+1}","Not used",1,"(-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) - (-1)^(1/4)*a*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) + (2*a*((a*x - 1)/(a*x + 1))^(3/4))/((a*x - 1)/(a*x + 1) + 1)","B"
66,1,132,319,0.074697,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(1/4)),x)","\frac{\frac{5\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{2}+\frac{a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}+\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}","Not used",1,"((5*a^2*((a*x - 1)/(a*x + 1))^(3/4))/2 + (a^2*((a*x - 1)/(a*x + 1))^(7/4))/2)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) + ((-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4 - ((-1)^(1/4)*a^2*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4","B"
67,1,168,356,1.211226,"\text{Not used}","int(1/(x^4*((a*x - 1)/(a*x + 1))^(1/4)),x)","\frac{\frac{29\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{12}+\frac{a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}+\frac{3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{4}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}+\frac{3\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}-\frac{3\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}","Not used",1,"((29*a^3*((a*x - 1)/(a*x + 1))^(3/4))/12 + (a^3*((a*x - 1)/(a*x + 1))^(7/4))/2 + (3*a^3*((a*x - 1)/(a*x + 1))^(11/4))/4)/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) + (3*(-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8 - (3*(-1)^(1/4)*a^3*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8","B"
68,1,229,253,0.094894,"\text{Not used}","int(x^4/((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{275\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{64}-\frac{249\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{40}+\frac{371\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{32}-\frac{9\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{2}+\frac{79\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/4}}{64}}{a^5+\frac{10\,a^5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a^5\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a^5\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a^5\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{5\,a^5\,\left(a\,x-1\right)}{a\,x+1}}+\frac{237\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}+\frac{237\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}","Not used",1,"((275*((a*x - 1)/(a*x + 1))^(1/4))/64 - (249*((a*x - 1)/(a*x + 1))^(5/4))/40 + (371*((a*x - 1)/(a*x + 1))^(9/4))/32 - (9*((a*x - 1)/(a*x + 1))^(13/4))/2 + (79*((a*x - 1)/(a*x + 1))^(17/4))/64)/(a^5 + (10*a^5*(a*x - 1)^2)/(a*x + 1)^2 - (10*a^5*(a*x - 1)^3)/(a*x + 1)^3 + (5*a^5*(a*x - 1)^4)/(a*x + 1)^4 - (a^5*(a*x - 1)^5)/(a*x + 1)^5 - (5*a^5*(a*x - 1))/(a*x + 1)) + (237*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) + (237*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5)","B"
69,1,192,216,1.214747,"\text{Not used}","int(x^3/((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{133\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{32}-\frac{147\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{32}+\frac{183\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{32}-\frac{41\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{32}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}+\frac{123\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}+\frac{123\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}","Not used",1,"((133*((a*x - 1)/(a*x + 1))^(1/4))/32 - (147*((a*x - 1)/(a*x + 1))^(5/4))/32 + (183*((a*x - 1)/(a*x + 1))^(9/4))/32 - (41*((a*x - 1)/(a*x + 1))^(13/4))/32)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) + (123*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) + (123*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4)","B"
70,1,157,179,0.084569,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{15\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}-\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{17\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}+\frac{17\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}+\frac{17\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}","Not used",1,"((15*((a*x - 1)/(a*x + 1))^(1/4))/4 - (5*((a*x - 1)/(a*x + 1))^(5/4))/2 + (17*((a*x - 1)/(a*x + 1))^(9/4))/12)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) + (17*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) + (17*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3)","B"
71,1,120,142,1.205698,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{7\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}-\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}+\frac{9\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}+\frac{9\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}","Not used",1,"((7*((a*x - 1)/(a*x + 1))^(1/4))/2 - (3*((a*x - 1)/(a*x + 1))^(5/4))/2)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) + (9*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) + (9*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2)","B"
72,1,79,98,1.186373,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}+\frac{3\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}+\frac{3\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/4))/(a - (a*(a*x - 1))/(a*x + 1)) + (3*atan(((a*x - 1)/(a*x + 1))^(1/4)))/a + (3*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/a","B"
73,1,101,291,0.051583,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(3/4)),x)","2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)","Not used",1,"2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i + 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 + 1i) + 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 - 1i)","B"
74,1,88,268,0.078416,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(3/4)),x)","\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{\frac{a\,x-1}{a\,x+1}+1}-{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,3{}\mathrm{i}-{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,3{}\mathrm{i}","Not used",1,"(2*a*((a*x - 1)/(a*x + 1))^(1/4))/((a*x - 1)/(a*x + 1) + 1) - (-1)^(1/4)*a*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*3i - (-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*3i","B"
75,1,132,319,0.088681,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(3/4)),x)","\frac{\frac{7\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}+\frac{3\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,9{}\mathrm{i}}{4}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,9{}\mathrm{i}}{4}","Not used",1,"((7*a^2*((a*x - 1)/(a*x + 1))^(1/4))/2 + (3*a^2*((a*x - 1)/(a*x + 1))^(5/4))/2)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) - ((-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*9i)/4 - ((-1)^(1/4)*a^2*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*9i)/4","B"
76,1,168,356,1.212384,"\text{Not used}","int(1/(x^4*((a*x - 1)/(a*x + 1))^(3/4)),x)","\frac{\frac{15\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}+\frac{5\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{17\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,17{}\mathrm{i}}{8}-\frac{{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,17{}\mathrm{i}}{8}","Not used",1,"((15*a^3*((a*x - 1)/(a*x + 1))^(1/4))/4 + (5*a^3*((a*x - 1)/(a*x + 1))^(5/4))/2 + (17*a^3*((a*x - 1)/(a*x + 1))^(9/4))/12)/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) - ((-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*17i)/8 - ((-1)^(1/4)*a^3*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*17i)/8","B"
77,1,248,287,1.264364,"\text{Not used}","int(x^4/((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{1003\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}-\frac{1003\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}-\frac{\frac{787\,{\left(a\,x-1\right)}^2}{6\,{\left(a\,x+1\right)}^2}-\frac{13793\,{\left(a\,x-1\right)}^3}{96\,{\left(a\,x+1\right)}^3}+\frac{3009\,{\left(a\,x-1\right)}^4}{40\,{\left(a\,x+1\right)}^4}-\frac{1003\,{\left(a\,x-1\right)}^5}{64\,{\left(a\,x+1\right)}^5}-\frac{11797\,\left(a\,x-1\right)}{192\,\left(a\,x+1\right)}+8}{a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-5\,a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+10\,a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}-10\,a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}+5\,a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/4}-a^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{21/4}}","Not used",1,"(1003*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) - (1003*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) - ((787*(a*x - 1)^2)/(6*(a*x + 1)^2) - (13793*(a*x - 1)^3)/(96*(a*x + 1)^3) + (3009*(a*x - 1)^4)/(40*(a*x + 1)^4) - (1003*(a*x - 1)^5)/(64*(a*x + 1)^5) - (11797*(a*x - 1))/(192*(a*x + 1)) + 8)/(a^5*((a*x - 1)/(a*x + 1))^(1/4) - 5*a^5*((a*x - 1)/(a*x + 1))^(5/4) + 10*a^5*((a*x - 1)/(a*x + 1))^(9/4) - 10*a^5*((a*x - 1)/(a*x + 1))^(13/4) + 5*a^5*((a*x - 1)/(a*x + 1))^(17/4) - a^5*((a*x - 1)/(a*x + 1))^(21/4))","B"
78,1,211,250,0.142607,"\text{Not used}","int(x^3/((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{475\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{475\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{\frac{7483\,{\left(a\,x-1\right)}^2}{96\,{\left(a\,x+1\right)}^2}-\frac{1805\,{\left(a\,x-1\right)}^3}{32\,{\left(a\,x+1\right)}^3}+\frac{475\,{\left(a\,x-1\right)}^4}{32\,{\left(a\,x+1\right)}^4}-\frac{4645\,\left(a\,x-1\right)}{96\,\left(a\,x+1\right)}+8}{a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-4\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+6\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}-4\,a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}+a^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/4}}","Not used",1,"(475*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - (475*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - ((7483*(a*x - 1)^2)/(96*(a*x + 1)^2) - (1805*(a*x - 1)^3)/(32*(a*x + 1)^3) + (475*(a*x - 1)^4)/(32*(a*x + 1)^4) - (4645*(a*x - 1))/(96*(a*x + 1)) + 8)/(a^4*((a*x - 1)/(a*x + 1))^(1/4) - 4*a^4*((a*x - 1)/(a*x + 1))^(5/4) + 6*a^4*((a*x - 1)/(a*x + 1))^(9/4) - 4*a^4*((a*x - 1)/(a*x + 1))^(13/4) + a^4*((a*x - 1)/(a*x + 1))^(17/4))","B"
79,1,176,213,0.091742,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{55\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}-\frac{55\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}-\frac{\frac{77\,{\left(a\,x-1\right)}^2}{2\,{\left(a\,x+1\right)}^2}-\frac{55\,{\left(a\,x-1\right)}^3}{4\,{\left(a\,x+1\right)}^3}-\frac{425\,\left(a\,x-1\right)}{12\,\left(a\,x+1\right)}+8}{a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}-a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}","Not used",1,"(55*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) - (55*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) - ((77*(a*x - 1)^2)/(2*(a*x + 1)^2) - (55*(a*x - 1)^3)/(4*(a*x + 1)^3) - (425*(a*x - 1))/(12*(a*x + 1)) + 8)/(a^3*((a*x - 1)/(a*x + 1))^(1/4) - 3*a^3*((a*x - 1)/(a*x + 1))^(5/4) + 3*a^3*((a*x - 1)/(a*x + 1))^(9/4) - a^3*((a*x - 1)/(a*x + 1))^(13/4))","B"
80,1,139,176,1.209646,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{25\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{25\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{\frac{25\,{\left(a\,x-1\right)}^2}{2\,{\left(a\,x+1\right)}^2}-\frac{45\,\left(a\,x-1\right)}{2\,\left(a\,x+1\right)}+8}{a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-2\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}","Not used",1,"(25*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) - (25*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) - ((25*(a*x - 1)^2)/(2*(a*x + 1)^2) - (45*(a*x - 1))/(2*(a*x + 1)) + 8)/(a^2*((a*x - 1)/(a*x + 1))^(1/4) - 2*a^2*((a*x - 1)/(a*x + 1))^(5/4) + a^2*((a*x - 1)/(a*x + 1))^(9/4))","B"
81,1,98,130,0.064354,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{\frac{10\,\left(a\,x-1\right)}{a\,x+1}-8}{a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}-\frac{5\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}+\frac{5\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}","Not used",1,"((10*(a*x - 1))/(a*x + 1) - 8)/(a*((a*x - 1)/(a*x + 1))^(1/4) - a*((a*x - 1)/(a*x + 1))^(5/4)) - (5*atan(((a*x - 1)/(a*x + 1))^(1/4)))/a + (5*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/a","B"
82,1,118,320,1.179877,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(5/4)),x)","-2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-\frac{8}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1+1{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)","Not used",1,"- atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i - 2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 - 1i) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 + 1i) - 8/((a*x - 1)/(a*x + 1))^(1/4)","B"
83,1,107,299,1.217121,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(5/4)),x)","5\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-5\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-\frac{8\,a+\frac{10\,a\,\left(a\,x-1\right)}{a\,x+1}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}+{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}","Not used",1,"5*(-1)^(1/4)*a*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) - 5*(-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) - (8*a + (10*a*(a*x - 1))/(a*x + 1))/(((a*x - 1)/(a*x + 1))^(1/4) + ((a*x - 1)/(a*x + 1))^(5/4))","B"
84,1,152,351,0.084471,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(5/4)),x)","\frac{25\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}-\frac{25\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}-\frac{8\,a^2+\frac{25\,a^2\,{\left(a\,x-1\right)}^2}{2\,{\left(a\,x+1\right)}^2}+\frac{45\,a^2\,\left(a\,x-1\right)}{2\,\left(a\,x+1\right)}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}+2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}","Not used",1,"(25*(-1)^(1/4)*a^2*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4 - (25*(-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4 - (8*a^2 + (25*a^2*(a*x - 1)^2)/(2*(a*x + 1)^2) + (45*a^2*(a*x - 1))/(2*(a*x + 1)))/(((a*x - 1)/(a*x + 1))^(1/4) + 2*((a*x - 1)/(a*x + 1))^(5/4) + ((a*x - 1)/(a*x + 1))^(9/4))","B"
85,1,188,385,1.263816,"\text{Not used}","int(1/(x^4*((a*x - 1)/(a*x + 1))^(5/4)),x)","\frac{55\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}-\frac{55\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}-\frac{8\,a^3+\frac{77\,a^3\,{\left(a\,x-1\right)}^2}{2\,{\left(a\,x+1\right)}^2}+\frac{55\,a^3\,{\left(a\,x-1\right)}^3}{4\,{\left(a\,x+1\right)}^3}+\frac{425\,a^3\,\left(a\,x-1\right)}{12\,\left(a\,x+1\right)}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}+{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}","Not used",1,"(55*(-1)^(1/4)*a^3*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8 - (55*(-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8 - (8*a^3 + (77*a^3*(a*x - 1)^2)/(2*(a*x + 1)^2) + (55*a^3*(a*x - 1)^3)/(4*(a*x + 1)^3) + (425*a^3*(a*x - 1))/(12*(a*x + 1)))/(((a*x - 1)/(a*x + 1))^(1/4) + 3*((a*x - 1)/(a*x + 1))^(5/4) + 3*((a*x - 1)/(a*x + 1))^(9/4) + ((a*x - 1)/(a*x + 1))^(13/4))","B"
86,1,229,253,0.080065,"\text{Not used}","int(x^4*((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{31\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{64}-\frac{29\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{40}+\frac{509\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{96}-\frac{7\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{6}+\frac{481\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/4}}{192}}{a^5+\frac{10\,a^5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a^5\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a^5\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a^5\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{5\,a^5\,\left(a\,x-1\right)}{a\,x+1}}-\frac{31\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}-\frac{31\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}","Not used",1,"((31*((a*x - 1)/(a*x + 1))^(1/4))/64 - (29*((a*x - 1)/(a*x + 1))^(5/4))/40 + (509*((a*x - 1)/(a*x + 1))^(9/4))/96 - (7*((a*x - 1)/(a*x + 1))^(13/4))/6 + (481*((a*x - 1)/(a*x + 1))^(17/4))/192)/(a^5 + (10*a^5*(a*x - 1)^2)/(a*x + 1)^2 - (10*a^5*(a*x - 1)^3)/(a*x + 1)^3 + (5*a^5*(a*x - 1)^4)/(a*x + 1)^4 - (a^5*(a*x - 1)^5)/(a*x + 1)^5 - (5*a^5*(a*x - 1))/(a*x + 1)) - (31*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) - (31*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5)","B"
87,1,193,216,1.209891,"\text{Not used}","int(x^3*((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{11\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{\frac{11\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{32}-\frac{93\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{32}+\frac{107\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{96}-\frac{245\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{96}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}+\frac{11\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}","Not used",1,"(11*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - ((11*((a*x - 1)/(a*x + 1))^(1/4))/32 - (93*((a*x - 1)/(a*x + 1))^(5/4))/32 + (107*((a*x - 1)/(a*x + 1))^(9/4))/96 - (245*((a*x - 1)/(a*x + 1))^(13/4))/96)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) + (11*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4)","B"
88,1,157,179,1.202250,"\text{Not used}","int(x^2*((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{29\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}-\frac{3\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}-\frac{3\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}","Not used",1,"((3*((a*x - 1)/(a*x + 1))^(1/4))/4 - ((a*x - 1)/(a*x + 1))^(5/4)/2 + (29*((a*x - 1)/(a*x + 1))^(9/4))/12)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) - (3*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) - (3*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3)","B"
89,1,121,142,0.061170,"\text{Not used}","int(x*((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}-\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}+\frac{\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}","Not used",1,"atan(((a*x - 1)/(a*x + 1))^(1/4))/(4*a^2) - (((a*x - 1)/(a*x + 1))^(1/4)/2 - (5*((a*x - 1)/(a*x + 1))^(5/4))/2)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) + atanh(((a*x - 1)/(a*x + 1))^(1/4))/(4*a^2)","B"
90,1,79,97,1.180609,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/4),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}-\frac{\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/4))/(a - (a*(a*x - 1))/(a*x + 1)) - atan(((a*x - 1)/(a*x + 1))^(1/4))/a - atanh(((a*x - 1)/(a*x + 1))^(1/4))/a","B"
91,1,101,291,1.175761,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/4)/x,x)","2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1+1{}\mathrm{i}\right)","Not used",1,"2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 + 1i) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 - 1i)","B"
92,1,88,268,1.186458,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/4)/x^2,x)","-\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{\frac{a\,x-1}{a\,x+1}+1}-{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,1{}\mathrm{i}-{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,1{}\mathrm{i}","Not used",1,"- (-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*1i - (-1)^(1/4)*a*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*1i - (2*a*((a*x - 1)/(a*x + 1))^(1/4))/((a*x - 1)/(a*x + 1) + 1)","B"
93,1,132,319,0.065440,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/4)/x^3,x)","\frac{\frac{a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}+\frac{5\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}+\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,1{}\mathrm{i}}{4}+\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,1{}\mathrm{i}}{4}","Not used",1,"((a^2*((a*x - 1)/(a*x + 1))^(1/4))/2 + (5*a^2*((a*x - 1)/(a*x + 1))^(5/4))/2)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) + ((-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*1i)/4 + ((-1)^(1/4)*a^2*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*1i)/4","B"
94,1,169,356,0.069000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/4)/x^4,x)","-\frac{\frac{3\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}+\frac{a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{29\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,3{}\mathrm{i}}{8}-\frac{{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,3{}\mathrm{i}}{8}","Not used",1,"- ((3*a^3*((a*x - 1)/(a*x + 1))^(1/4))/4 + (a^3*((a*x - 1)/(a*x + 1))^(5/4))/2 + (29*a^3*((a*x - 1)/(a*x + 1))^(9/4))/12)/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) - ((-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*3i)/8 - ((-1)^(1/4)*a^3*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*3i)/8","B"
95,1,229,253,1.214270,"\text{Not used}","int(x^4*((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{79\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{64}-\frac{9\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}+\frac{371\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{32}-\frac{249\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/4}}{40}+\frac{275\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{19/4}}{64}}{a^5+\frac{10\,a^5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a^5\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a^5\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a^5\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{5\,a^5\,\left(a\,x-1\right)}{a\,x+1}}+\frac{237\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}-\frac{237\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}","Not used",1,"((79*((a*x - 1)/(a*x + 1))^(3/4))/64 - (9*((a*x - 1)/(a*x + 1))^(7/4))/2 + (371*((a*x - 1)/(a*x + 1))^(11/4))/32 - (249*((a*x - 1)/(a*x + 1))^(15/4))/40 + (275*((a*x - 1)/(a*x + 1))^(19/4))/64)/(a^5 + (10*a^5*(a*x - 1)^2)/(a*x + 1)^2 - (10*a^5*(a*x - 1)^3)/(a*x + 1)^3 + (5*a^5*(a*x - 1)^4)/(a*x + 1)^4 - (a^5*(a*x - 1)^5)/(a*x + 1)^5 - (5*a^5*(a*x - 1))/(a*x + 1)) + (237*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5) - (237*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5)","B"
96,1,193,216,1.180075,"\text{Not used}","int(x^3*((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{123\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{123\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{\frac{41\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{32}-\frac{183\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{32}+\frac{147\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{32}-\frac{133\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/4}}{32}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(123*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - (123*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - ((41*((a*x - 1)/(a*x + 1))^(3/4))/32 - (183*((a*x - 1)/(a*x + 1))^(7/4))/32 + (147*((a*x - 1)/(a*x + 1))^(11/4))/32 - (133*((a*x - 1)/(a*x + 1))^(15/4))/32)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1))","B"
97,1,157,179,0.056630,"\text{Not used}","int(x^2*((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{\frac{17\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{12}-\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}+\frac{15\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{4}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}+\frac{17\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}-\frac{17\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}","Not used",1,"((17*((a*x - 1)/(a*x + 1))^(3/4))/12 - (5*((a*x - 1)/(a*x + 1))^(7/4))/2 + (15*((a*x - 1)/(a*x + 1))^(11/4))/4)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) + (17*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3) - (17*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3)","B"
98,1,121,142,1.185636,"\text{Not used}","int(x*((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{9\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{9\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{2}-\frac{7\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(9*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) - (9*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) - ((3*((a*x - 1)/(a*x + 1))^(3/4))/2 - (7*((a*x - 1)/(a*x + 1))^(7/4))/2)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1))","B"
99,1,79,98,1.183001,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/4),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}+\frac{3\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}-\frac{3\,\mathrm{atanh}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(3/4))/(a - (a*(a*x - 1))/(a*x + 1)) + (3*atan(((a*x - 1)/(a*x + 1))^(1/4)))/a - (3*atanh(((a*x - 1)/(a*x + 1))^(1/4)))/a","B"
100,1,101,291,1.181234,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/4)/x,x)","-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}-2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1+1{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)","Not used",1,"- atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i - 2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 - 1i) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 + 1i)","B"
101,1,88,269,0.052161,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/4)/x^2,x)","3\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-3\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{\frac{a\,x-1}{a\,x+1}+1}","Not used",1,"3*(-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) - 3*(-1)^(1/4)*a*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)) - (2*a*((a*x - 1)/(a*x + 1))^(3/4))/((a*x - 1)/(a*x + 1) + 1)","B"
102,1,132,319,1.182113,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/4)/x^3,x)","\frac{\frac{3\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{2}+\frac{7\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{9\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}+\frac{9\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4}","Not used",1,"((3*a^2*((a*x - 1)/(a*x + 1))^(3/4))/2 + (7*a^2*((a*x - 1)/(a*x + 1))^(7/4))/2)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) - (9*(-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4 + (9*(-1)^(1/4)*a^2*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/4","B"
103,1,169,356,0.064198,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/4)/x^4,x)","\frac{17\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}-\frac{\frac{17\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}}{12}+\frac{5\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/4}}{2}+\frac{15\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/4}}{4}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{17\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8}","Not used",1,"(17*(-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8 - ((17*a^3*((a*x - 1)/(a*x + 1))^(3/4))/12 + (5*a^3*((a*x - 1)/(a*x + 1))^(7/4))/2 + (15*a^3*((a*x - 1)/(a*x + 1))^(11/4))/4)/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) - (17*(-1)^(1/4)*a^3*atanh((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)))/8","B"
104,1,253,287,0.080779,"\text{Not used}","int(x^4*((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a^5}+\frac{\frac{491\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{64}-\frac{1409\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{40}+\frac{6113\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{96}-\frac{307\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{6}+\frac{4117\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/4}}{192}}{a^5+\frac{10\,a^5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a^5\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a^5\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a^5\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{5\,a^5\,\left(a\,x-1\right)}{a\,x+1}}-\frac{1003\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{128\,a^5}+\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,1003{}\mathrm{i}}{128\,a^5}","Not used",1,"(atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*1003i)/(128*a^5) + (8*((a*x - 1)/(a*x + 1))^(1/4))/a^5 + ((491*((a*x - 1)/(a*x + 1))^(1/4))/64 - (1409*((a*x - 1)/(a*x + 1))^(5/4))/40 + (6113*((a*x - 1)/(a*x + 1))^(9/4))/96 - (307*((a*x - 1)/(a*x + 1))^(13/4))/6 + (4117*((a*x - 1)/(a*x + 1))^(17/4))/192)/(a^5 + (10*a^5*(a*x - 1)^2)/(a*x + 1)^2 - (10*a^5*(a*x - 1)^3)/(a*x + 1)^3 + (5*a^5*(a*x - 1)^4)/(a*x + 1)^4 - (a^5*(a*x - 1)^5)/(a*x + 1)^5 - (5*a^5*(a*x - 1))/(a*x + 1)) - (1003*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(128*a^5)","B"
105,1,217,250,0.079545,"\text{Not used}","int(x^3*((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{475\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{64\,a^4}-\frac{\frac{219\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{32}-\frac{781\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{32}+\frac{2875\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{96}-\frac{1573\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/4}}{96}}{a^4+\frac{6\,a^4\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a^4\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a^4\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a^4\,\left(a\,x-1\right)}{a\,x+1}}-\frac{8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a^4}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,475{}\mathrm{i}}{64\,a^4}","Not used",1,"(475*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(64*a^4) - (8*((a*x - 1)/(a*x + 1))^(1/4))/a^4 - ((219*((a*x - 1)/(a*x + 1))^(1/4))/32 - (781*((a*x - 1)/(a*x + 1))^(5/4))/32 + (2875*((a*x - 1)/(a*x + 1))^(9/4))/96 - (1573*((a*x - 1)/(a*x + 1))^(13/4))/96)/(a^4 + (6*a^4*(a*x - 1)^2)/(a*x + 1)^2 - (4*a^4*(a*x - 1)^3)/(a*x + 1)^3 + (a^4*(a*x - 1)^4)/(a*x + 1)^4 - (4*a^4*(a*x - 1))/(a*x + 1)) - (atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*475i)/(64*a^4)","B"
106,1,181,213,0.073697,"\text{Not used}","int(x^2*((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{\frac{23\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}-\frac{29\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{137\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}+\frac{8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a^3}-\frac{55\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{8\,a^3}+\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,55{}\mathrm{i}}{8\,a^3}","Not used",1,"((23*((a*x - 1)/(a*x + 1))^(1/4))/4 - (29*((a*x - 1)/(a*x + 1))^(5/4))/2 + (137*((a*x - 1)/(a*x + 1))^(9/4))/12)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) + (atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*55i)/(8*a^3) + (8*((a*x - 1)/(a*x + 1))^(1/4))/a^3 - (55*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(8*a^3)","B"
107,1,145,176,1.197504,"\text{Not used}","int(x*((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{25\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{4\,a^2}-\frac{8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a^2}-\frac{\frac{9\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}-\frac{13\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,25{}\mathrm{i}}{4\,a^2}","Not used",1,"(25*atan(((a*x - 1)/(a*x + 1))^(1/4)))/(4*a^2) - ((9*((a*x - 1)/(a*x + 1))^(1/4))/2 - (13*((a*x - 1)/(a*x + 1))^(5/4))/2)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) - (8*((a*x - 1)/(a*x + 1))^(1/4))/a^2 - (atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*25i)/(4*a^2)","B"
108,1,103,130,1.188308,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(5/4),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}+\frac{8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{a}-\frac{5\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)}{a}+\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/4))/(a - (a*(a*x - 1))/(a*x + 1)) + (atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*5i)/a + (8*((a*x - 1)/(a*x + 1))^(1/4))/a - (5*atan(((a*x - 1)/(a*x + 1))^(1/4)))/a","B"
109,1,118,320,1.144026,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(5/4)/x,x)","2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)-8\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)","Not used",1,"2*atan(((a*x - 1)/(a*x + 1))^(1/4)) - atan(((a*x - 1)/(a*x + 1))^(1/4)*1i)*2i + 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 - 1i/2))*(1 + 1i) + 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/4)*(1/2 + 1i/2))*(1 - 1i) - 8*((a*x - 1)/(a*x + 1))^(1/4)","B"
110,1,106,299,1.180181,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(5/4)/x^2,x)","8\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}+5\,{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)+\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{\frac{a\,x-1}{a\,x+1}+1}+{\left(-1\right)}^{1/4}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,5{}\mathrm{i}","Not used",1,"8*a*((a*x - 1)/(a*x + 1))^(1/4) + (-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*5i + 5*(-1)^(1/4)*a*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)*1i) + (2*a*((a*x - 1)/(a*x + 1))^(1/4))/((a*x - 1)/(a*x + 1) + 1)","B"
111,1,153,351,0.070150,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(5/4)/x^3,x)","-8\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}-\frac{\frac{9\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{2}+\frac{13\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}-\frac{{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,25{}\mathrm{i}}{4}-\frac{25\,{\left(-1\right)}^{1/4}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)}{4}","Not used",1,"- 8*a^2*((a*x - 1)/(a*x + 1))^(1/4) - ((9*a^2*((a*x - 1)/(a*x + 1))^(1/4))/2 + (13*a^2*((a*x - 1)/(a*x + 1))^(5/4))/2)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) - ((-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*25i)/4 - (25*(-1)^(1/4)*a^2*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)*1i))/4","B"
112,1,188,385,0.072584,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(5/4)/x^4,x)","\frac{\frac{23\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}}{4}+\frac{29\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}}{2}+\frac{137\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/4}}{12}}{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{3\,\left(a\,x-1\right)}{a\,x+1}+1}+8\,a^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}+\frac{{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\right)\,55{}\mathrm{i}}{8}+\frac{55\,{\left(-1\right)}^{1/4}\,a^3\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}\,1{}\mathrm{i}\right)}{8}","Not used",1,"((23*a^3*((a*x - 1)/(a*x + 1))^(1/4))/4 + (29*a^3*((a*x - 1)/(a*x + 1))^(5/4))/2 + (137*a^3*((a*x - 1)/(a*x + 1))^(9/4))/12)/((3*(a*x - 1)^2)/(a*x + 1)^2 + (a*x - 1)^3/(a*x + 1)^3 + (3*(a*x - 1))/(a*x + 1) + 1) + 8*a^3*((a*x - 1)/(a*x + 1))^(1/4) + ((-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4))*55i)/8 + (55*(-1)^(1/4)*a^3*atan((-1)^(1/4)*((a*x - 1)/(a*x + 1))^(1/4)*1i))/8","B"
113,1,168,285,0.131755,"\text{Not used}","int(x^2/((x - 1)/(x + 1))^(1/6),x)","-\frac{\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\,1{}\mathrm{i}\right)\,19{}\mathrm{i}}{81}-\frac{\frac{61\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{27}-\frac{8\,{\left(\frac{x-1}{x+1}\right)}^{11/6}}{27}+\frac{19\,{\left(\frac{x-1}{x+1}\right)}^{17/6}}{27}}{\frac{3\,\left(x-1\right)}{x+1}-\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}-1}-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,4952198{}\mathrm{i}}{14348907\,\left(-\frac{2476099}{14348907}+\frac{\sqrt{3}\,2476099{}\mathrm{i}}{14348907}\right)}\right)\,\left(\frac{19\,\sqrt{3}}{162}-\frac{19}{162}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,4952198{}\mathrm{i}}{14348907\,\left(\frac{2476099}{14348907}+\frac{\sqrt{3}\,2476099{}\mathrm{i}}{14348907}\right)}\right)\,\left(\frac{19\,\sqrt{3}}{162}+\frac{19}{162}{}\mathrm{i}\right)","Not used",1,"- (atan(((x - 1)/(x + 1))^(1/6)*1i)*19i)/81 - ((61*((x - 1)/(x + 1))^(5/6))/27 - (8*((x - 1)/(x + 1))^(11/6))/27 + (19*((x - 1)/(x + 1))^(17/6))/27)/((3*(x - 1))/(x + 1) - (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 - 1) - atan((((x - 1)/(x + 1))^(1/6)*4952198i)/(14348907*((3^(1/2)*2476099i)/14348907 - 2476099/14348907)))*((19*3^(1/2))/162 - 19i/162) - atan((((x - 1)/(x + 1))^(1/6)*4952198i)/(14348907*((3^(1/2)*2476099i)/14348907 + 2476099/14348907)))*((19*3^(1/2))/162 + 19i/162)","B"
114,1,142,258,1.221489,"\text{Not used}","int(x/((x - 1)/(x + 1))^(1/6),x)","\frac{\frac{7\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{3}-\frac{{\left(\frac{x-1}{x+1}\right)}^{11/6}}{3}}{\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{2\,\left(x-1\right)}{x+1}+1}-\frac{\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{9}-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,2{}\mathrm{i}}{243\,\left(-\frac{1}{243}+\frac{\sqrt{3}\,1{}\mathrm{i}}{243}\right)}\right)\,\left(\frac{\sqrt{3}}{18}-\frac{1}{18}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,2{}\mathrm{i}}{243\,\left(\frac{1}{243}+\frac{\sqrt{3}\,1{}\mathrm{i}}{243}\right)}\right)\,\left(\frac{\sqrt{3}}{18}+\frac{1}{18}{}\mathrm{i}\right)","Not used",1,"((7*((x - 1)/(x + 1))^(5/6))/3 - ((x - 1)/(x + 1))^(11/6)/3)/((x - 1)^2/(x + 1)^2 - (2*(x - 1))/(x + 1) + 1) - (atan(((x - 1)/(x + 1))^(1/6)*1i)*1i)/9 - atan((((x - 1)/(x + 1))^(1/6)*2i)/(243*((3^(1/2)*1i)/243 - 1/243)))*(3^(1/2)/18 - 1i/18) - atan((((x - 1)/(x + 1))^(1/6)*2i)/(243*((3^(1/2)*1i)/243 + 1/243)))*(3^(1/2)/18 + 1i/18)","B"
115,1,115,223,0.097695,"\text{Not used}","int(1/((x - 1)/(x + 1))^(1/6),x)","-\frac{\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3}-\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{\frac{x-1}{x+1}-1}-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,64{}\mathrm{i}}{-32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}-\frac{1}{3}{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,64{}\mathrm{i}}{32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{\sqrt{3}}{3}+\frac{1}{3}{}\mathrm{i}\right)","Not used",1,"- (atan(((x - 1)/(x + 1))^(1/6)*1i)*2i)/3 - (2*((x - 1)/(x + 1))^(5/6))/((x - 1)/(x + 1) - 1) - atan((((x - 1)/(x + 1))^(1/6)*64i)/(3^(1/2)*32i - 32))*(3^(1/2)/3 - 1i/3) - atan((((x - 1)/(x + 1))^(1/6)*64i)/(3^(1/2)*32i + 32))*(3^(1/2)/3 + 1i/3)","B"
116,1,167,402,1.266792,"\text{Not used}","int(1/(x*((x - 1)/(x + 1))^(1/6)),x)","2\,\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\right)-\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,1486016741376{}\mathrm{i}}{-743008370688+\sqrt{3}\,743008370688{}\mathrm{i}}\right)\,\left(\sqrt{3}-\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{x-1}{x+1}\right)}^{1/6}\,1486016741376{}\mathrm{i}}{743008370688+\sqrt{3}\,743008370688{}\mathrm{i}}\right)\,\left(\sqrt{3}+1{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{1486016741376\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{-743008370688+\sqrt{3}\,743008370688{}\mathrm{i}}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{1486016741376\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{743008370688+\sqrt{3}\,743008370688{}\mathrm{i}}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)","Not used",1,"2*atan(((x - 1)/(x + 1))^(1/6)) - atan(((x - 1)/(x + 1))^(1/6)*1i)*2i - atan((((x - 1)/(x + 1))^(1/6)*1486016741376i)/(3^(1/2)*743008370688i - 743008370688))*(3^(1/2) - 1i) - atan((((x - 1)/(x + 1))^(1/6)*1486016741376i)/(3^(1/2)*743008370688i + 743008370688))*(3^(1/2) + 1i) - atan((1486016741376*((x - 1)/(x + 1))^(1/6))/(3^(1/2)*743008370688i - 743008370688))*(3^(1/2)*1i + 1) - atan((1486016741376*((x - 1)/(x + 1))^(1/6))/(3^(1/2)*743008370688i + 743008370688))*(3^(1/2)*1i - 1)","B"
117,1,109,233,1.229820,"\text{Not used}","int(1/(x^2*((x - 1)/(x + 1))^(1/6)),x)","\frac{2\,\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\right)}{3}+\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{\frac{x-1}{x+1}+1}-\mathrm{atan}\left(\frac{64\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{-32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)-\mathrm{atan}\left(\frac{64\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{32+\sqrt{3}\,32{}\mathrm{i}}\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)","Not used",1,"(2*atan(((x - 1)/(x + 1))^(1/6)))/3 + (2*((x - 1)/(x + 1))^(5/6))/((x - 1)/(x + 1) + 1) - atan((64*((x - 1)/(x + 1))^(1/6))/(3^(1/2)*32i - 32))*((3^(1/2)*1i)/3 + 1/3) - atan((64*((x - 1)/(x + 1))^(1/6))/(3^(1/2)*32i + 32))*((3^(1/2)*1i)/3 - 1/3)","B"
118,1,136,260,0.106340,"\text{Not used}","int(1/(x^3*((x - 1)/(x + 1))^(1/6)),x)","\frac{\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\right)}{9}+\frac{\frac{7\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{3}+\frac{{\left(\frac{x-1}{x+1}\right)}^{11/6}}{3}}{\frac{2\,\left(x-1\right)}{x+1}+\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+1}-\mathrm{atan}\left(\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{243\,\left(-\frac{1}{243}+\frac{\sqrt{3}\,1{}\mathrm{i}}{243}\right)}\right)\,\left(\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)-\mathrm{atan}\left(\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{243\,\left(\frac{1}{243}+\frac{\sqrt{3}\,1{}\mathrm{i}}{243}\right)}\right)\,\left(-\frac{1}{18}+\frac{\sqrt{3}\,1{}\mathrm{i}}{18}\right)","Not used",1,"atan(((x - 1)/(x + 1))^(1/6))/9 + ((7*((x - 1)/(x + 1))^(5/6))/3 + ((x - 1)/(x + 1))^(11/6)/3)/((2*(x - 1))/(x + 1) + (x - 1)^2/(x + 1)^2 + 1) - atan((2*((x - 1)/(x + 1))^(1/6))/(243*((3^(1/2)*1i)/243 - 1/243)))*((3^(1/2)*1i)/18 + 1/18) - atan((2*((x - 1)/(x + 1))^(1/6))/(243*((3^(1/2)*1i)/243 + 1/243)))*((3^(1/2)*1i)/18 - 1/18)","B"
119,1,161,287,1.255095,"\text{Not used}","int(1/(x^4*((x - 1)/(x + 1))^(1/6)),x)","\frac{19\,\mathrm{atan}\left({\left(\frac{x-1}{x+1}\right)}^{1/6}\right)}{81}+\frac{\frac{61\,{\left(\frac{x-1}{x+1}\right)}^{5/6}}{27}+\frac{8\,{\left(\frac{x-1}{x+1}\right)}^{11/6}}{27}+\frac{19\,{\left(\frac{x-1}{x+1}\right)}^{17/6}}{27}}{\frac{3\,\left(x-1\right)}{x+1}+\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}+1}-\mathrm{atan}\left(\frac{4952198\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{14348907\,\left(-\frac{2476099}{14348907}+\frac{\sqrt{3}\,2476099{}\mathrm{i}}{14348907}\right)}\right)\,\left(\frac{19}{162}+\frac{\sqrt{3}\,19{}\mathrm{i}}{162}\right)-\mathrm{atan}\left(\frac{4952198\,{\left(\frac{x-1}{x+1}\right)}^{1/6}}{14348907\,\left(\frac{2476099}{14348907}+\frac{\sqrt{3}\,2476099{}\mathrm{i}}{14348907}\right)}\right)\,\left(-\frac{19}{162}+\frac{\sqrt{3}\,19{}\mathrm{i}}{162}\right)","Not used",1,"(19*atan(((x - 1)/(x + 1))^(1/6)))/81 + ((61*((x - 1)/(x + 1))^(5/6))/27 + (8*((x - 1)/(x + 1))^(11/6))/27 + (19*((x - 1)/(x + 1))^(17/6))/27)/((3*(x - 1))/(x + 1) + (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 + 1) - atan((4952198*((x - 1)/(x + 1))^(1/6))/(14348907*((3^(1/2)*2476099i)/14348907 - 2476099/14348907)))*((3^(1/2)*19i)/162 + 19/162) - atan((4952198*((x - 1)/(x + 1))^(1/6))/(14348907*((3^(1/2)*2476099i)/14348907 + 2476099/14348907)))*((3^(1/2)*19i)/162 - 19/162)","B"
120,1,171,157,1.191136,"\text{Not used}","int(x^2/((x - 1)/(x + 1))^(1/3),x)","-\frac{22\,\ln\left(\frac{484\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{729}-\frac{484}{729}\right)}{81}-\frac{\frac{70\,{\left(\frac{x-1}{x+1}\right)}^{2/3}}{27}-\frac{20\,{\left(\frac{x-1}{x+1}\right)}^{5/3}}{27}+\frac{22\,{\left(\frac{x-1}{x+1}\right)}^{8/3}}{27}}{\frac{3\,\left(x-1\right)}{x+1}-\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}-1}-\ln\left(\frac{484\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{729}-9\,{\left(-\frac{11}{81}+\frac{\sqrt{3}\,11{}\mathrm{i}}{81}\right)}^2\right)\,\left(-\frac{11}{81}+\frac{\sqrt{3}\,11{}\mathrm{i}}{81}\right)+\ln\left(\frac{484\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{729}-9\,{\left(\frac{11}{81}+\frac{\sqrt{3}\,11{}\mathrm{i}}{81}\right)}^2\right)\,\left(\frac{11}{81}+\frac{\sqrt{3}\,11{}\mathrm{i}}{81}\right)","Not used",1,"log((484*((x - 1)/(x + 1))^(1/3))/729 - 9*((3^(1/2)*11i)/81 + 11/81)^2)*((3^(1/2)*11i)/81 + 11/81) - ((70*((x - 1)/(x + 1))^(2/3))/27 - (20*((x - 1)/(x + 1))^(5/3))/27 + (22*((x - 1)/(x + 1))^(8/3))/27)/((3*(x - 1))/(x + 1) - (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 - 1) - log((484*((x - 1)/(x + 1))^(1/3))/729 - 9*((3^(1/2)*11i)/81 - 11/81)^2)*((3^(1/2)*11i)/81 - 11/81) - (22*log((484*((x - 1)/(x + 1))^(1/3))/729 - 484/729))/81","B"
121,1,145,130,0.048538,"\text{Not used}","int(x/((x - 1)/(x + 1))^(1/3),x)","\frac{\frac{8\,{\left(\frac{x-1}{x+1}\right)}^{2/3}}{3}-\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{5/3}}{3}}{\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{2\,\left(x-1\right)}{x+1}+1}-\frac{2\,\ln\left(\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}-\frac{4}{9}\right)}{9}-\ln\left(\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}-9\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}-9\,{\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)","Not used",1,"((8*((x - 1)/(x + 1))^(2/3))/3 - (2*((x - 1)/(x + 1))^(5/3))/3)/((x - 1)^2/(x + 1)^2 - (2*(x - 1))/(x + 1) + 1) - (2*log((4*((x - 1)/(x + 1))^(1/3))/9 - 4/9))/9 - log((4*((x - 1)/(x + 1))^(1/3))/9 - 9*((3^(1/2)*1i)/9 - 1/9)^2)*((3^(1/2)*1i)/9 - 1/9) + log((4*((x - 1)/(x + 1))^(1/3))/9 - 9*((3^(1/2)*1i)/9 + 1/9)^2)*((3^(1/2)*1i)/9 + 1/9)","B"
122,1,118,96,0.045710,"\text{Not used}","int(1/((x - 1)/(x + 1))^(1/3),x)","-\frac{2\,\ln\left(4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}-4\right)}{3}-\ln\left(4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}-9\,{\left(-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)}^2\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)+\ln\left(4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}-9\,{\left(\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)}^2\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)-\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{2/3}}{\frac{x-1}{x+1}-1}","Not used",1,"log(4*((x - 1)/(x + 1))^(1/3) - 9*((3^(1/2)*1i)/3 + 1/3)^2)*((3^(1/2)*1i)/3 + 1/3) - log(4*((x - 1)/(x + 1))^(1/3) - 9*((3^(1/2)*1i)/3 - 1/3)^2)*((3^(1/2)*1i)/3 - 1/3) - (2*log(4*((x - 1)/(x + 1))^(1/3) - 4))/3 - (2*((x - 1)/(x + 1))^(2/3))/((x - 1)/(x + 1) - 1)","B"
123,1,82,155,1.416352,"\text{Not used}","int(1/(x*((x - 1)/(x + 1))^(1/3)),x)","-\ln\left(1296\,{\left(\frac{x-1}{x+1}\right)}^{2/3}-1296\right)-\ln\left(1296\,{\left(\frac{x-1}{x+1}\right)}^{2/3}+648-\sqrt{3}\,648{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)+\ln\left(1296\,{\left(\frac{x-1}{x+1}\right)}^{2/3}+648+\sqrt{3}\,648{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)","Not used",1,"log(3^(1/2)*648i + 1296*((x - 1)/(x + 1))^(2/3) + 648)*((3^(1/2)*1i)/2 + 1/2) - log(1296*((x - 1)/(x + 1))^(2/3) - 3^(1/2)*648i + 648)*((3^(1/2)*1i)/2 - 1/2) - log(1296*((x - 1)/(x + 1))^(2/3) - 1296)","B"
124,1,118,99,0.024573,"\text{Not used}","int(1/(x^2*((x - 1)/(x + 1))^(1/3)),x)","\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{2/3}}{\frac{x-1}{x+1}+1}-\ln\left(9\,{\left(-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)}^2+4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}\right)\,\left(-\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)+\ln\left(9\,{\left(\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)}^2+4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}\right)\,\left(\frac{1}{3}+\frac{\sqrt{3}\,1{}\mathrm{i}}{3}\right)-\frac{2\,\ln\left(4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}+4\right)}{3}","Not used",1,"log(9*((3^(1/2)*1i)/3 + 1/3)^2 + 4*((x - 1)/(x + 1))^(1/3))*((3^(1/2)*1i)/3 + 1/3) - log(9*((3^(1/2)*1i)/3 - 1/3)^2 + 4*((x - 1)/(x + 1))^(1/3))*((3^(1/2)*1i)/3 - 1/3) - (2*log(4*((x - 1)/(x + 1))^(1/3) + 4))/3 + (2*((x - 1)/(x + 1))^(2/3))/((x - 1)/(x + 1) + 1)","B"
125,1,145,130,0.027467,"\text{Not used}","int(1/(x^3*((x - 1)/(x + 1))^(1/3)),x)","\frac{\frac{8\,{\left(\frac{x-1}{x+1}\right)}^{2/3}}{3}+\frac{2\,{\left(\frac{x-1}{x+1}\right)}^{5/3}}{3}}{\frac{2\,\left(x-1\right)}{x+1}+\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+1}-\frac{2\,\ln\left(\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}+\frac{4}{9}\right)}{9}-\ln\left(9\,{\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2+\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}\right)\,\left(-\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)+\ln\left(9\,{\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)}^2+\frac{4\,{\left(\frac{x-1}{x+1}\right)}^{1/3}}{9}\right)\,\left(\frac{1}{9}+\frac{\sqrt{3}\,1{}\mathrm{i}}{9}\right)","Not used",1,"((8*((x - 1)/(x + 1))^(2/3))/3 + (2*((x - 1)/(x + 1))^(5/3))/3)/((2*(x - 1))/(x + 1) + (x - 1)^2/(x + 1)^2 + 1) - (2*log((4*((x - 1)/(x + 1))^(1/3))/9 + 4/9))/9 - log(9*((3^(1/2)*1i)/9 - 1/9)^2 + (4*((x - 1)/(x + 1))^(1/3))/9)*((3^(1/2)*1i)/9 - 1/9) + log(9*((3^(1/2)*1i)/9 + 1/9)^2 + (4*((x - 1)/(x + 1))^(1/3))/9)*((3^(1/2)*1i)/9 + 1/9)","B"
126,1,227,429,1.306698,"\text{Not used}","int(x^2/((a*x - 1)/(a*x + 1))^(1/8),x)","\frac{\frac{35\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/8}}{16}-\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/8}}{24}+\frac{11\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{23/8}}{16}}{a^3+\frac{3\,a^3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a^3\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,a^3\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,11{}\mathrm{i}}{64\,a^3}-\frac{11\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)}{64\,a^3}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{11}{128}+\frac{11}{128}{}\mathrm{i}\right)}{a^3}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{11}{128}-\frac{11}{128}{}\mathrm{i}\right)}{a^3}","Not used",1,"((35*((a*x - 1)/(a*x + 1))^(7/8))/16 - (5*((a*x - 1)/(a*x + 1))^(15/8))/24 + (11*((a*x - 1)/(a*x + 1))^(23/8))/16)/(a^3 + (3*a^3*(a*x - 1)^2)/(a*x + 1)^2 - (a^3*(a*x - 1)^3)/(a*x + 1)^3 - (3*a^3*(a*x - 1))/(a*x + 1)) - (atan(((a*x - 1)/(a*x + 1))^(1/8)*1i)*11i)/(64*a^3) - (11*atan(((a*x - 1)/(a*x + 1))^(1/8)))/(64*a^3) - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(11/128 - 11i/128))/a^3 - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(11/128 + 11i/128))/a^3","B"
127,1,190,392,1.275124,"\text{Not used}","int(x/((a*x - 1)/(a*x + 1))^(1/8),x)","\frac{\frac{9\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/8}}{4}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/8}}{4}}{a^2+\frac{a^2\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,a^2\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^2}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)}{16\,a^2}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{32}+\frac{1}{32}{}\mathrm{i}\right)}{a^2}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{32}-\frac{1}{32}{}\mathrm{i}\right)}{a^2}","Not used",1,"((9*((a*x - 1)/(a*x + 1))^(7/8))/4 - ((a*x - 1)/(a*x + 1))^(15/8)/4)/(a^2 + (a^2*(a*x - 1)^2)/(a*x + 1)^2 - (2*a^2*(a*x - 1))/(a*x + 1)) - (atan(((a*x - 1)/(a*x + 1))^(1/8)*1i)*1i)/(16*a^2) - atan(((a*x - 1)/(a*x + 1))^(1/8))/(16*a^2) - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(1/32 - 1i/32))/a^2 - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(1/32 + 1i/32))/a^2","B"
128,1,149,352,1.264055,"\text{Not used}","int(1/((a*x - 1)/(a*x + 1))^(1/8),x)","\frac{2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/8}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}-\frac{\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)}{2\,a}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)}{a}+\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)}{a}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(7/8))/(a - (a*(a*x - 1))/(a*x + 1)) - (atan(((a*x - 1)/(a*x + 1))^(1/8)*1i)*1i)/(2*a) - atan(((a*x - 1)/(a*x + 1))^(1/8))/(2*a) - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(1/4 - 1i/4))/a - (2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(1/4 + 1i/4))/a","B"
129,1,648,919,1.398476,"\text{Not used}","int(1/(x*((a*x - 1)/(a*x + 1))^(1/8)),x)","-\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}-2\,\mathrm{atan}\left({\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1+1{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)+\mathrm{atan}\left(-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{\sqrt{2}-2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{\sqrt{2}+2}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}-2}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}+2}}\right)\,\left(\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}+\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{\sqrt{2}-2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{\sqrt{2}+2}}-\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}-2}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{\sqrt{2}+2}}\right)\,\left(\sqrt{\sqrt{2}-2}\,1{}\mathrm{i}-\sqrt{\sqrt{2}+2}\,1{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{-\sqrt{2}-2}}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{-\sqrt{2}-2}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{2-\sqrt{2}}}\right)\,\left(\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}+\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}\right)-\mathrm{atan}\left(\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{-\sqrt{2}-2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{\sqrt{2-\sqrt{2}}}+\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{-\sqrt{2}-2}}-\frac{\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}}{2\,\sqrt{2-\sqrt{2}}}\right)\,\left(\sqrt{-\sqrt{2}-2}\,1{}\mathrm{i}-\sqrt{2-\sqrt{2}}\,1{}\mathrm{i}\right)","Not used",1,"atan((((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2^(1/2) + 2)^(1/2) - (((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2^(1/2) - 2)^(1/2) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2^(1/2) - 2)^(1/2)) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2^(1/2) + 2)^(1/2)))*((2^(1/2) - 2)^(1/2)*1i + (2^(1/2) + 2)^(1/2)*1i) - 2*atan(((a*x - 1)/(a*x + 1))^(1/8)) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(1 - 1i) - 2^(1/2)*atan(2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(1 + 1i) - atan(((a*x - 1)/(a*x + 1))^(1/8)*1i)*2i - atan((((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2^(1/2) - 2)^(1/2) + (((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2^(1/2) + 2)^(1/2) - (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2^(1/2) - 2)^(1/2)) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2^(1/2) + 2)^(1/2)))*((2^(1/2) - 2)^(1/2)*1i - (2^(1/2) + 2)^(1/2)*1i) - atan((((a*x - 1)/(a*x + 1))^(1/8)*1i)/(- 2^(1/2) - 2)^(1/2) - (((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2 - 2^(1/2))^(1/2) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(- 2^(1/2) - 2)^(1/2)) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2 - 2^(1/2))^(1/2)))*((- 2^(1/2) - 2)^(1/2)*1i + (2 - 2^(1/2))^(1/2)*1i) - atan((((a*x - 1)/(a*x + 1))^(1/8)*1i)/(- 2^(1/2) - 2)^(1/2) + (((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2 - 2^(1/2))^(1/2) + (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(- 2^(1/2) - 2)^(1/2)) - (2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*1i)/(2*(2 - 2^(1/2))^(1/2)))*((- 2^(1/2) - 2)^(1/2)*1i - (2 - 2^(1/2))^(1/2)*1i)","B"
130,1,162,676,1.249072,"\text{Not used}","int(1/(x^2*((a*x - 1)/(a*x + 1))^(1/8)),x)","\frac{{\left(-1\right)}^{1/8}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)}{2}+\frac{{\left(-1\right)}^{1/8}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{2\,a\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/8}}{\frac{a\,x-1}{a\,x+1}+1}+{\left(-1\right)}^{1/8}\,\sqrt{2}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+{\left(-1\right)}^{1/8}\,\sqrt{2}\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"((-1)^(1/8)*a*atan((-1)^(1/8)*((a*x - 1)/(a*x + 1))^(1/8)))/2 + ((-1)^(1/8)*a*atan((-1)^(1/8)*((a*x - 1)/(a*x + 1))^(1/8)*1i)*1i)/2 + (2*a*((a*x - 1)/(a*x + 1))^(7/8))/((a*x - 1)/(a*x + 1) + 1) + (-1)^(1/8)*2^(1/2)*a*atan((-1)^(1/8)*2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(1/4 - 1i/4) + (-1)^(1/8)*2^(1/2)*a*atan((-1)^(1/8)*2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(1/4 + 1i/4)","B"
131,1,210,731,1.262620,"\text{Not used}","int(1/(x^3*((a*x - 1)/(a*x + 1))^(1/8)),x)","\frac{\frac{9\,a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/8}}{4}+\frac{a^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/8}}{4}}{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2\,\left(a\,x-1\right)}{a\,x+1}+1}+\frac{{\left(-1\right)}^{1/8}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\right)}{16}+\frac{{\left(-1\right)}^{1/8}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16}+{\left(-1\right)}^{1/8}\,\sqrt{2}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{32}-\frac{1}{32}{}\mathrm{i}\right)+{\left(-1\right)}^{1/8}\,\sqrt{2}\,a^2\,\mathrm{atan}\left({\left(-1\right)}^{1/8}\,\sqrt{2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{32}+\frac{1}{32}{}\mathrm{i}\right)","Not used",1,"((9*a^2*((a*x - 1)/(a*x + 1))^(7/8))/4 + (a^2*((a*x - 1)/(a*x + 1))^(15/8))/4)/((a*x - 1)^2/(a*x + 1)^2 + (2*(a*x - 1))/(a*x + 1) + 1) + ((-1)^(1/8)*a^2*atan((-1)^(1/8)*((a*x - 1)/(a*x + 1))^(1/8)))/16 + ((-1)^(1/8)*a^2*atan((-1)^(1/8)*((a*x - 1)/(a*x + 1))^(1/8)*1i)*1i)/16 + (-1)^(1/8)*2^(1/2)*a^2*atan((-1)^(1/8)*2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 - 1i/2))*(1/32 - 1i/32) + (-1)^(1/8)*2^(1/2)*a^2*atan((-1)^(1/8)*2^(1/2)*((a*x - 1)/(a*x + 1))^(1/8)*(1/2 + 1i/2))*(1/32 + 1i/32)","B"
132,0,-1,45,0.000000,"\text{Not used}","int((x^m*(a*x + 1)^2)/(a*x - 1)^2,x)","\int \frac{x^m\,{\left(a\,x+1\right)}^2}{{\left(a\,x-1\right)}^2} \,d x","Not used",1,"int((x^m*(a*x + 1)^2)/(a*x - 1)^2, x)","F"
133,0,-1,151,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^m}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
134,0,-1,35,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/(a*x - 1),x)","\int \frac{x^m\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^m*(a*x + 1))/(a*x - 1), x)","F"
135,0,-1,74,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^m}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
136,0,-1,75,0.000000,"\text{Not used}","int(x^m*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^m\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^m*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
137,0,-1,36,0.000000,"\text{Not used}","int((x^m*(a*x - 1))/(a*x + 1),x)","\int \frac{x^m\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^m*(a*x - 1))/(a*x + 1), x)","F"
138,0,-1,150,0.000000,"\text{Not used}","int(x^m*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^m\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^m*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
139,0,-1,41,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(5/4),x)","\int \frac{x^m}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(5/4), x)","F"
140,0,-1,41,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(3/4),x)","\int \frac{x^m}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(3/4), x)","F"
141,0,-1,41,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(1/4),x)","\int \frac{x^m}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(1/4), x)","F"
142,0,-1,41,0.000000,"\text{Not used}","int(x^m*((a*x - 1)/(a*x + 1))^(1/4),x)","\int x^m\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/4} \,d x","Not used",1,"int(x^m*((a*x - 1)/(a*x + 1))^(1/4), x)","F"
143,0,-1,41,0.000000,"\text{Not used}","int(x^m*((a*x - 1)/(a*x + 1))^(3/4),x)","\int x^m\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/4} \,d x","Not used",1,"int(x^m*((a*x - 1)/(a*x + 1))^(3/4), x)","F"
144,0,-1,41,0.000000,"\text{Not used}","int(x^m*((a*x - 1)/(a*x + 1))^(5/4),x)","\int x^m\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/4} \,d x","Not used",1,"int(x^m*((a*x - 1)/(a*x + 1))^(5/4), x)","F"
145,0,-1,34,0.000000,"\text{Not used}","int(x^m/((x - 1)/(x + 1))^(1/3),x)","\int \frac{x^m}{{\left(\frac{x-1}{x+1}\right)}^{1/3}} \,d x","Not used",1,"int(x^m/((x - 1)/(x + 1))^(1/3), x)","F"
146,0,-1,34,0.000000,"\text{Not used}","int(x^m/((x - 1)/(x + 1))^(1/6),x)","\int \frac{x^m}{{\left(\frac{x-1}{x+1}\right)}^{1/6}} \,d x","Not used",1,"int(x^m/((x - 1)/(x + 1))^(1/6), x)","F"
147,0,-1,41,0.000000,"\text{Not used}","int(x^m/((a*x - 1)/(a*x + 1))^(1/8),x)","\int \frac{x^m}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{1/8}} \,d x","Not used",1,"int(x^m/((a*x - 1)/(a*x + 1))^(1/8), x)","F"
148,0,-1,45,0.000000,"\text{Not used}","int(x^m*exp(n*acoth(a*x)),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)} \,d x","Not used",1,"int(x^m*exp(n*acoth(a*x)), x)","F"
149,0,-1,174,0.000000,"\text{Not used}","int(x^2*exp(n*acoth(a*x)),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)} \,d x","Not used",1,"int(x^2*exp(n*acoth(a*x)), x)","F"
150,0,-1,122,0.000000,"\text{Not used}","int(x*exp(n*acoth(a*x)),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)} \,d x","Not used",1,"int(x*exp(n*acoth(a*x)), x)","F"
151,0,-1,78,0.000000,"\text{Not used}","int(exp(n*acoth(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)} \,d x","Not used",1,"int(exp(n*acoth(a*x)), x)","F"
152,0,-1,127,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x} \,d x","Not used",1,"int(exp(n*acoth(a*x))/x, x)","F"
153,0,-1,70,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x^2} \,d x","Not used",1,"int(exp(n*acoth(a*x))/x^2, x)","F"
154,0,-1,114,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/x^3,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x^3} \,d x","Not used",1,"int(exp(n*acoth(a*x))/x^3, x)","F"
155,0,-1,167,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/x^4,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x^4} \,d x","Not used",1,"int(exp(n*acoth(a*x))/x^4, x)","F"
156,0,-1,183,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/x^5,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x^5} \,d x","Not used",1,"int(exp(n*acoth(a*x))/x^5, x)","F"
157,0,-1,143,0.000000,"\text{Not used}","int((c - a*c*x)^p/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a\,c\,x\right)}^p}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a*c*x)^p/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
158,1,214,132,0.125622,"\text{Not used}","int((c - a*c*x)^4/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{49\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6}-\frac{7\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{224\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{15}+\frac{79\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{6}+\frac{7\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}+\frac{7\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((49*c^4*((a*x - 1)/(a*x + 1))^(3/2))/6 - (7*c^4*((a*x - 1)/(a*x + 1))^(1/2))/4 - (224*c^4*((a*x - 1)/(a*x + 1))^(5/2))/15 + (79*c^4*((a*x - 1)/(a*x + 1))^(7/2))/6 + (7*c^4*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) + (7*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
159,1,177,105,0.078520,"\text{Not used}","int((c - a*c*x)^3/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}-\frac{\frac{5\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{55\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{73\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{12}+\frac{5\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a-\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{6\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}","Not used",1,"(5*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a) - ((5*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 - (55*c^3*((a*x - 1)/(a*x + 1))^(3/2))/12 + (73*c^3*((a*x - 1)/(a*x + 1))^(5/2))/12 + (5*c^3*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a - (4*a*(a*x - 1))/(a*x + 1) + (6*a*(a*x - 1)^2)/(a*x + 1)^2 - (4*a*(a*x - 1)^3)/(a*x + 1)^3 + (a*(a*x - 1)^4)/(a*x + 1)^4)","B"
160,1,138,78,1.209895,"\text{Not used}","int((c - a*c*x)^2/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{8\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}+\frac{c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((8*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 - c^2*((a*x - 1)/(a*x + 1))^(1/2) + c^2*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) + (c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
161,1,94,47,1.197571,"\text{Not used}","int((c - a*c*x)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{c\,\sqrt{\frac{a\,x-1}{a\,x+1}}+c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}","Not used",1,"(c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a - (c*((a*x - 1)/(a*x + 1))^(1/2) + c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (2*a*(a*x - 1))/(a*x + 1) + (a*(a*x - 1)^2)/(a*x + 1)^2)","B"
162,1,48,51,0.073210,"\text{Not used}","int(1/((c - a*c*x)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2}{a\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"2/(a*c*((a*x - 1)/(a*x + 1))^(1/2)) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
163,1,23,33,1.180614,"\text{Not used}","int(1/((c - a*c*x)^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","-\frac{1}{3\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}","Not used",1,"-1/(3*a*c^2*((a*x - 1)/(a*x + 1))^(3/2))","B"
164,1,39,67,1.170500,"\text{Not used}","int(1/((c - a*c*x)^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","-\frac{\frac{a\,x-1}{3\,\left(a\,x+1\right)}-\frac{1}{5}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"-((a*x - 1)/(3*(a*x + 1)) - 1/5)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(5/2))","B"
165,1,56,100,0.043473,"\text{Not used}","int(1/((c - a*c*x)^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","-\frac{\frac{{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{2\,\left(a\,x-1\right)}{5\,\left(a\,x+1\right)}+\frac{1}{7}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"-((a*x - 1)^2/(3*(a*x + 1)^2) - (2*(a*x - 1))/(5*(a*x + 1)) + 1/7)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(7/2))","B"
166,1,72,133,1.174216,"\text{Not used}","int(1/((c - a*c*x)^5*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{\frac{3\,{\left(a\,x-1\right)}^2}{5\,{\left(a\,x+1\right)}^2}-\frac{{\left(a\,x-1\right)}^3}{3\,{\left(a\,x+1\right)}^3}-\frac{3\,\left(a\,x-1\right)}{7\,\left(a\,x+1\right)}+\frac{1}{9}}{8\,a\,c^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}","Not used",1,"((3*(a*x - 1)^2)/(5*(a*x + 1)^2) - (a*x - 1)^3/(3*(a*x + 1)^3) - (3*(a*x - 1))/(7*(a*x + 1)) + 1/9)/(8*a*c^5*((a*x - 1)/(a*x + 1))^(9/2))","B"
167,1,28,42,1.214233,"\text{Not used}","int(((c - a*c*x)^p*(a*x + 1))/(a*x - 1),x)","\frac{{\left(c-a\,c\,x\right)}^p\,\left(p+a\,p\,x+2\right)}{a\,p\,\left(p+1\right)}","Not used",1,"((c - a*c*x)^p*(p + a*p*x + 2))/(a*p*(p + 1))","B"
168,1,60,37,0.034861,"\text{Not used}","int(((c - a*c*x)^5*(a*x + 1))/(a*x - 1),x)","-\frac{a^5\,c^5\,x^6}{6}+\frac{3\,a^4\,c^5\,x^5}{5}-\frac{a^3\,c^5\,x^4}{2}-\frac{2\,a^2\,c^5\,x^3}{3}+\frac{3\,a\,c^5\,x^2}{2}-c^5\,x","Not used",1,"(3*a*c^5*x^2)/2 - c^5*x - (2*a^2*c^5*x^3)/3 - (a^3*c^5*x^4)/2 + (3*a^4*c^5*x^5)/5 - (a^5*c^5*x^6)/6","B"
169,1,37,37,0.048738,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(a*x - 1),x)","\frac{a^4\,c^4\,x^5}{5}-\frac{a^3\,c^4\,x^4}{2}+a\,c^4\,x^2-c^4\,x","Not used",1,"a*c^4*x^2 - c^4*x - (a^3*c^4*x^4)/2 + (a^4*c^4*x^5)/5","B"
170,1,38,37,0.046321,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(a*x - 1),x)","-\frac{a^3\,c^3\,x^4}{4}+\frac{a^2\,c^3\,x^3}{3}+\frac{a\,c^3\,x^2}{2}-c^3\,x","Not used",1,"(a*c^3*x^2)/2 - c^3*x + (a^2*c^3*x^3)/3 - (a^3*c^3*x^4)/4","B"
171,1,15,20,0.029433,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(a*x - 1),x)","\frac{c^2\,x\,\left(a^2\,x^2-3\right)}{3}","Not used",1,"(c^2*x*(a^2*x^2 - 3))/3","B"
172,1,9,14,0.023355,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(a*x - 1),x)","-\frac{c\,x\,\left(a\,x+2\right)}{2}","Not used",1,"-(c*x*(a*x + 2))/2","B"
173,1,29,32,1.195458,"\text{Not used}","int((a*x + 1)/((c - a*c*x)*(a*x - 1)),x)","-\frac{2}{a\,\left(c-a\,c\,x\right)}-\frac{\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"- 2/(a*(c - a*c*x)) - log(a*x - 1)/(a*c)","B"
174,1,13,14,1.191225,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^2*(a*x - 1)),x)","-\frac{x}{c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"-x/(c^2*(a*x - 1)^2)","B"
175,1,46,37,1.200644,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^3*(a*x - 1)),x)","-\frac{\frac{x}{2}+\frac{1}{6\,a}}{-a^3\,c^3\,x^3+3\,a^2\,c^3\,x^2-3\,a\,c^3\,x+c^3}","Not used",1,"-(x/2 + 1/(6*a))/(c^3 + 3*a^2*c^3*x^2 - a^3*c^3*x^3 - 3*a*c^3*x)","B"
176,1,56,37,0.086856,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^4*(a*x - 1)),x)","-\frac{\frac{x}{3}+\frac{1}{6\,a}}{a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3+6\,a^2\,c^4\,x^2-4\,a\,c^4\,x+c^4}","Not used",1,"-(x/3 + 1/(6*a))/(c^4 + 6*a^2*c^4*x^2 - 4*a^3*c^4*x^3 + a^4*c^4*x^4 - 4*a*c^4*x)","B"
177,0,-1,202,0.000000,"\text{Not used}","int((c - a*c*x)^p/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a\,c\,x\right)}^p}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^p/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
178,1,214,105,0.092459,"\text{Not used}","int((c - a*c*x)^4/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{3\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{7\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2}+\frac{32\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{5}+\frac{7\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{2}-\frac{3\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}-\frac{3\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((3*c^4*((a*x - 1)/(a*x + 1))^(1/2))/4 - (7*c^4*((a*x - 1)/(a*x + 1))^(3/2))/2 + (32*c^4*((a*x - 1)/(a*x + 1))^(5/2))/5 + (7*c^4*((a*x - 1)/(a*x + 1))^(7/2))/2 - (3*c^4*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) - (3*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
179,1,176,78,1.202412,"\text{Not used}","int((c - a*c*x)^3/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{3\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{11\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}-\frac{11\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{4}+\frac{3\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a-\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{6\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{3\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((3*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 - (11*c^3*((a*x - 1)/(a*x + 1))^(3/2))/4 - (11*c^3*((a*x - 1)/(a*x + 1))^(5/2))/4 + (3*c^3*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a - (4*a*(a*x - 1))/(a*x + 1) + (6*a*(a*x - 1)^2)/(a*x + 1)^2 - (4*a*(a*x - 1)^3)/(a*x + 1)^3 + (a*(a*x - 1)^4)/(a*x + 1)^4) - (3*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
180,1,139,78,1.201227,"\text{Not used}","int((c - a*c*x)^2/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{8\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}-\frac{c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(c^2*((a*x - 1)/(a*x + 1))^(1/2) + (8*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 - c^2*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) - (c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
181,1,97,65,1.203553,"\text{Not used}","int((c - a*c*x)/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{5\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}-3\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{3\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"- (5*c*((a*x - 1)/(a*x + 1))^(1/2) - 3*c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (2*a*(a*x - 1))/(a*x + 1) + (a*(a*x - 1)^2)/(a*x + 1)^2) - (3*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
182,1,63,80,0.066152,"\text{Not used}","int(1/((c - a*c*x)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{\frac{2\,\left(a\,x-1\right)}{a\,x+1}+\frac{2}{3}}{a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"((2*(a*x - 1))/(a*x + 1) + 2/3)/(a*c*((a*x - 1)/(a*x + 1))^(3/2)) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
183,1,23,33,0.037364,"\text{Not used}","int(1/((c - a*c*x)^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{1}{5\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"-1/(5*a*c^2*((a*x - 1)/(a*x + 1))^(5/2))","B"
184,1,39,67,1.175693,"\text{Not used}","int(1/((c - a*c*x)^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{\frac{a\,x-1}{5\,\left(a\,x+1\right)}-\frac{1}{7}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"-((a*x - 1)/(5*(a*x + 1)) - 1/7)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(7/2))","B"
185,1,56,94,1.185783,"\text{Not used}","int(1/((c - a*c*x)^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{\frac{{\left(a\,x-1\right)}^2}{5\,{\left(a\,x+1\right)}^2}-\frac{2\,\left(a\,x-1\right)}{7\,\left(a\,x+1\right)}+\frac{1}{9}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}","Not used",1,"-((a*x - 1)^2/(5*(a*x + 1)^2) - (2*(a*x - 1))/(7*(a*x + 1)) + 1/9)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(9/2))","B"
186,1,72,125,0.044758,"\text{Not used}","int(1/((c - a*c*x)^5*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{\frac{3\,{\left(a\,x-1\right)}^2}{7\,{\left(a\,x+1\right)}^2}-\frac{{\left(a\,x-1\right)}^3}{5\,{\left(a\,x+1\right)}^3}-\frac{a\,x-1}{3\,\left(a\,x+1\right)}+\frac{1}{11}}{8\,a\,c^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}","Not used",1,"((3*(a*x - 1)^2)/(7*(a*x + 1)^2) - (a*x - 1)^3/(5*(a*x + 1)^3) - (a*x - 1)/(3*(a*x + 1)) + 1/11)/(8*a*c^5*((a*x - 1)/(a*x + 1))^(11/2))","B"
187,1,57,66,1.353698,"\text{Not used}","int(((c - a*c*x)^p*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{4\,{\left(c-a\,c\,x\right)}^p}{a\,\left(a\,x-1\right)\,\left(p-1\right)}+\frac{{\left(c-a\,c\,x\right)}^p\,\left(3\,p+a\,p\,x+4\right)}{a\,p\,\left(p+1\right)}","Not used",1,"(4*(c - a*c*x)^p)/(a*(a*x - 1)*(p - 1)) + ((c - a*c*x)^p*(3*p + a*p*x + 4))/(a*p*(p + 1))","B"
188,1,59,53,1.189836,"\text{Not used}","int(((c - a*c*x)^5*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{a^5\,c^5\,x^6}{6}+\frac{a^4\,c^5\,x^5}{5}+\frac{a^3\,c^5\,x^4}{2}-\frac{2\,a^2\,c^5\,x^3}{3}-\frac{a\,c^5\,x^2}{2}+c^5\,x","Not used",1,"c^5*x - (a*c^5*x^2)/2 - (2*a^2*c^5*x^3)/3 + (a^3*c^5*x^4)/2 + (a^4*c^5*x^5)/5 - (a^5*c^5*x^6)/6","B"
189,1,24,32,0.044255,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^4\,x\,\left(3\,a^4\,x^4-10\,a^2\,x^2+15\right)}{15}","Not used",1,"(c^4*x*(3*a^4*x^4 - 10*a^2*x^2 + 15))/15","B"
190,1,37,35,0.046025,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{a^3\,c^3\,x^4}{4}-\frac{a^2\,c^3\,x^3}{3}+\frac{a\,c^3\,x^2}{2}+c^3\,x","Not used",1,"c^3*x + (a*c^3*x^2)/2 - (a^2*c^3*x^3)/3 - (a^3*c^3*x^4)/4","B"
191,1,19,17,0.031426,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^2\,x\,\left(a^2\,x^2+3\,a\,x+3\right)}{3}","Not used",1,"(c^2*x*(3*a*x + a^2*x^2 + 3))/3","B"
192,1,26,27,1.181256,"\text{Not used}","int(((c - a*c*x)*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{c\,\left(8\,\ln\left(a\,x-1\right)+6\,a\,x+a^2\,x^2\right)}{2\,a}","Not used",1,"-(c*(8*log(a*x - 1) + 6*a*x + a^2*x^2))/(2*a)","B"
193,1,42,48,0.057883,"\text{Not used}","int((a*x + 1)^2/((c - a*c*x)*(a*x - 1)^2),x)","\frac{4\,x-\frac{2}{a}}{c\,a^2\,x^2-2\,c\,a\,x+c}-\frac{\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"(4*x - 2/a)/(c + a^2*c*x^2 - 2*a*c*x) - log(a*x - 1)/(a*c)","B"
194,1,25,25,1.191849,"\text{Not used}","int((a*x + 1)^2/((c - a*c*x)^2*(a*x - 1)^2),x)","-\frac{3\,a^2\,x^2+1}{3\,a\,c^2\,{\left(a\,x-1\right)}^3}","Not used",1,"-(3*a^2*x^2 + 1)/(3*a*c^2*(a*x - 1)^3)","B"
195,1,29,52,1.230009,"\text{Not used}","int((a*x + 1)^2/((c - a*c*x)^3*(a*x - 1)^2),x)","\frac{3\,a^2\,x^2+2\,a\,x+1}{6\,a\,c^3\,{\left(a\,x-1\right)}^4}","Not used",1,"(2*a*x + 3*a^2*x^2 + 1)/(6*a*c^3*(a*x - 1)^4)","B"
196,1,29,53,1.238355,"\text{Not used}","int((a*x + 1)^2/((c - a*c*x)^4*(a*x - 1)^2),x)","-\frac{5\,a^2\,x^2+5\,a\,x+2}{15\,a\,c^4\,{\left(a\,x-1\right)}^5}","Not used",1,"-(5*a*x + 5*a^2*x^2 + 2)/(15*a*c^4*(a*x - 1)^5)","B"
197,0,-1,94,0.000000,"\text{Not used}","int((c - a*c*x)^p*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a\,c\,x\right)}^p\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a*c*x)^p*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
198,1,176,127,1.227534,"\text{Not used}","int((c - a*c*x)^3*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{35\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{385\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{511\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{12}-\frac{93\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a-\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{6\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{35\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((35*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 - (385*c^3*((a*x - 1)/(a*x + 1))^(3/2))/12 + (511*c^3*((a*x - 1)/(a*x + 1))^(5/2))/12 - (93*c^3*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a - (4*a*(a*x - 1))/(a*x + 1) + (6*a*(a*x - 1)^2)/(a*x + 1)^2 - (4*a*(a*x - 1)^3)/(a*x + 1)^3 + (a*(a*x - 1)^4)/(a*x + 1)^4) - (35*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
199,1,140,100,1.210861,"\text{Not used}","int((c - a*c*x)^2*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{40\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+11\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}-\frac{5\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^2*((a*x - 1)/(a*x + 1))^(1/2) - (40*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 + 11*c^2*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) - (5*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
200,1,96,65,0.064481,"\text{Not used}","int((c - a*c*x)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{3\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}-5\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{3\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(3*c*((a*x - 1)/(a*x + 1))^(1/2) - 5*c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (2*a*(a*x - 1))/(a*x + 1) + (a*(a*x - 1)^2)/(a*x + 1)^2) - (3*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
201,1,24,23,0.061662,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x),x)","-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"-(2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
202,1,23,28,0.034927,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^2,x)","-\frac{1}{a\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"-1/(a*c^2*((a*x - 1)/(a*x + 1))^(1/2))","B"
203,1,38,62,0.034624,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^3,x)","-\frac{\frac{a\,x-1}{a\,x+1}-\frac{1}{3}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}","Not used",1,"-((a*x - 1)/(a*x + 1) - 1/3)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(3/2))","B"
204,1,55,95,0.040053,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^4,x)","-\frac{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}+\frac{1}{5}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"-((a*x - 1)^2/(a*x + 1)^2 - (2*(a*x - 1))/(3*(a*x + 1)) + 1/5)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(5/2))","B"
205,1,71,128,1.191737,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^5,x)","\frac{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{3\,\left(a\,x-1\right)}{5\,\left(a\,x+1\right)}+\frac{1}{7}}{8\,a\,c^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"((a*x - 1)^2/(a*x + 1)^2 - (a*x - 1)^3/(a*x + 1)^3 - (3*(a*x - 1))/(5*(a*x + 1)) + 1/7)/(8*a*c^5*((a*x - 1)/(a*x + 1))^(7/2))","B"
206,0,-1,44,0.000000,"\text{Not used}","int(((c - a*c*x)^p*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-a\,c\,x\right)}^p\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a*c*x)^p*(a*x - 1))/(a*x + 1), x)","F"
207,1,63,91,1.168364,"\text{Not used}","int(((c - a*c*x)^4*(a*x - 1))/(a*x + 1),x)","31\,c^4\,x-13\,a\,c^4\,x^2+\frac{16\,a^2\,c^4\,x^3}{3}-\frac{3\,a^3\,c^4\,x^4}{2}+\frac{a^4\,c^4\,x^5}{5}-\frac{32\,c^4\,\ln\left(a\,x+1\right)}{a}","Not used",1,"31*c^4*x - 13*a*c^4*x^2 + (16*a^2*c^4*x^3)/3 - (3*a^3*c^4*x^4)/2 + (a^4*c^4*x^5)/5 - (32*c^4*log(a*x + 1))/a","B"
208,1,52,73,0.038192,"\text{Not used}","int(((c - a*c*x)^3*(a*x - 1))/(a*x + 1),x)","15\,c^3\,x-\frac{11\,a\,c^3\,x^2}{2}+\frac{5\,a^2\,c^3\,x^3}{3}-\frac{a^3\,c^3\,x^4}{4}-\frac{16\,c^3\,\ln\left(a\,x+1\right)}{a}","Not used",1,"15*c^3*x - (11*a*c^3*x^2)/2 + (5*a^2*c^3*x^3)/3 - (a^3*c^3*x^4)/4 - (16*c^3*log(a*x + 1))/a","B"
209,1,41,55,0.044471,"\text{Not used}","int(((c - a*c*x)^2*(a*x - 1))/(a*x + 1),x)","7\,c^2\,x-2\,a\,c^2\,x^2+\frac{a^2\,c^2\,x^3}{3}-\frac{8\,c^2\,\ln\left(a\,x+1\right)}{a}","Not used",1,"7*c^2*x - 2*a*c^2*x^2 + (a^2*c^2*x^3)/3 - (8*c^2*log(a*x + 1))/a","B"
210,1,26,26,0.039140,"\text{Not used}","int(((c - a*c*x)*(a*x - 1))/(a*x + 1),x)","-\frac{c\,\left(8\,\ln\left(a\,x+1\right)-6\,a\,x+a^2\,x^2\right)}{2\,a}","Not used",1,"-(c*(8*log(a*x + 1) - 6*a*x + a^2*x^2))/(2*a)","B"
211,1,14,14,0.038856,"\text{Not used}","int((a*x - 1)/((c - a*c*x)*(a*x + 1)),x)","-\frac{\ln\left(a\,x+1\right)}{a\,c}","Not used",1,"-log(a*x + 1)/(a*c)","B"
212,1,12,12,0.055456,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^2*(a*x + 1)),x)","-\frac{\mathrm{atanh}\left(a\,x\right)}{a\,c^2}","Not used",1,"-atanh(a*x)/(a*c^2)","B"
213,1,31,33,0.066451,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^3*(a*x + 1)),x)","-\frac{1}{2\,a\,\left(c^3-a\,c^3\,x\right)}-\frac{\mathrm{atanh}\left(a\,x\right)}{2\,a\,c^3}","Not used",1,"- 1/(2*a*(c^3 - a*c^3*x)) - atanh(a*x)/(2*a*c^3)","B"
214,1,46,51,0.074368,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^4*(a*x + 1)),x)","\frac{\frac{x}{4}-\frac{1}{2\,a}}{a^2\,c^4\,x^2-2\,a\,c^4\,x+c^4}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^4}","Not used",1,"(x/4 - 1/(2*a))/(c^4 + a^2*c^4*x^2 - 2*a*c^4*x) - atanh(a*x)/(4*a*c^4)","B"
215,1,65,69,1.195148,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^5*(a*x + 1)),x)","-\frac{\frac{a\,x^2}{8}-\frac{3\,x}{8}+\frac{5}{12\,a}}{-a^3\,c^5\,x^3+3\,a^2\,c^5\,x^2-3\,a\,c^5\,x+c^5}-\frac{\mathrm{atanh}\left(a\,x\right)}{8\,a\,c^5}","Not used",1,"- ((a*x^2)/8 - (3*x)/8 + 5/(12*a))/(c^5 + 3*a^2*c^5*x^2 - a^3*c^5*x^3 - 3*a*c^5*x) - atanh(a*x)/(8*a*c^5)","B"
216,0,-1,94,0.000000,"\text{Not used}","int((c - a*c*x)^p*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a\,c\,x\right)}^p\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a*c*x)^p*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
217,1,199,152,0.086713,"\text{Not used}","int((c - a*c*x)^3*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{187\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{643\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}+\frac{765\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{4}-\frac{325\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{4}}{a-\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{6\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{4\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}+\frac{32\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{315\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((187*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 - (643*c^3*((a*x - 1)/(a*x + 1))^(3/2))/4 + (765*c^3*((a*x - 1)/(a*x + 1))^(5/2))/4 - (325*c^3*((a*x - 1)/(a*x + 1))^(7/2))/4)/(a - (4*a*(a*x - 1))/(a*x + 1) + (6*a*(a*x - 1)^2)/(a*x + 1)^2 - (4*a*(a*x - 1)^3)/(a*x + 1)^3 + (a*(a*x - 1)^4)/(a*x + 1)^4) + (32*c^3*((a*x - 1)/(a*x + 1))^(1/2))/a - (315*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
218,1,163,129,1.193955,"\text{Not used}","int((c - a*c*x)^2*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{19\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{136\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+29\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}+\frac{16\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{35\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(19*c^2*((a*x - 1)/(a*x + 1))^(1/2) - (136*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 + 29*c^2*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) + (16*c^2*((a*x - 1)/(a*x + 1))^(1/2))/a - (35*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
219,1,117,92,0.067304,"\text{Not used}","int((c - a*c*x)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{7\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}-9\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{15\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{8\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}","Not used",1,"(7*c*((a*x - 1)/(a*x + 1))^(1/2) - 9*c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (2*a*(a*x - 1))/(a*x + 1) + (a*(a*x - 1)^2)/(a*x + 1)^2) - (15*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a + (8*c*((a*x - 1)/(a*x + 1))^(1/2))/a","B"
220,1,48,53,1.167041,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
221,1,22,28,0.028916,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^2,x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c^2}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(a*c^2)","B"
222,1,38,21,1.168483,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^3,x)","\frac{\frac{a\,x-1}{a\,x+1}+1}{2\,a\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"((a*x - 1)/(a*x + 1) + 1)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(1/2))","B"
223,1,50,61,1.231527,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^4,x)","\frac{-2\,a^2\,x^2+2\,a\,x+1}{\left(3\,a\,c^4-3\,a^3\,c^4\,x^2\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x - 2*a^2*x^2 + 1)/((3*a*c^4 - 3*a^3*c^4*x^2)*((a*x - 1)/(a*x + 1))^(1/2))","B"
224,1,51,94,1.206560,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^5,x)","\frac{2\,a^3\,x^3-4\,a^2\,x^2+a\,x+2}{5\,a\,c^5\,{\left(a\,x+1\right)}^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(a*x - 4*a^2*x^2 + 2*a^3*x^3 + 2)/(5*a*c^5*(a*x + 1)^3*((a*x - 1)/(a*x + 1))^(5/2))","B"
225,1,60,125,0.065990,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^6,x)","\frac{8\,a^4\,x^4-24\,a^3\,x^3+20\,a^2\,x^2+4\,a\,x-13}{35\,a\,c^6\,{\left(a\,x+1\right)}^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(4*a*x + 20*a^2*x^2 - 24*a^3*x^3 + 8*a^4*x^4 - 13)/(35*a*c^6*(a*x + 1)^4*((a*x - 1)/(a*x + 1))^(7/2))","B"
226,1,76,254,1.455895,"\text{Not used}","int((c - a*c*x)^(9/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^4\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(315\,a^4\,x^4-1820\,a^3\,x^3+4530\,a^2\,x^2-6396\,a\,x+5419\right)}{3465\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^4*(c - a*c*x)^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2)*(4530*a^2*x^2 - 6396*a*x - 1820*a^3*x^3 + 315*a^4*x^4 + 5419))/(3465*a*(a*x - 1))","B"
227,1,102,197,1.432509,"\text{Not used}","int((c - a*c*x)^(7/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(-35\,a^4\,x^4+60\,a^3\,x^3+34\,a^2\,x^2-124\,a\,x+193\right)}{315\,a}+\frac{1024\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{315\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(34*a^2*x^2 - 124*a*x + 60*a^3*x^3 - 35*a^4*x^4 + 193))/(315*a) + (1024*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(315*a*(a*x - 1))","B"
228,1,60,115,1.407979,"\text{Not used}","int((c - a*c*x)^(5/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(15\,a^2\,x^2-54\,a\,x+71\right)}{105\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^2*(c - a*c*x)^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2)*(15*a^2*x^2 - 54*a*x + 71))/(105*a*(a*x - 1))","B"
229,1,50,77,1.371590,"\text{Not used}","int((c - a*c*x)^(3/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","-\frac{2\,c\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\left(3\,a\,x-7\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{15\,a\,\left(a\,x-1\right)}","Not used",1,"-(2*c*(c - a*c*x)^(1/2)*(a*x + 1)^2*(3*a*x - 7)*((a*x - 1)/(a*x + 1))^(1/2))/(15*a*(a*x - 1))","B"
230,1,43,29,1.310400,"\text{Not used}","int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
231,0,-1,118,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
232,0,-1,128,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
233,0,-1,193,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
234,0,-1,250,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
235,1,32,40,0.038809,"\text{Not used}","int(((c - a*c*x)^(7/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a}-\frac{2\,{\left(c-a\,c\,x\right)}^{9/2}}{9\,a\,c}","Not used",1,"(4*(c - a*c*x)^(7/2))/(7*a) - (2*(c - a*c*x)^(9/2))/(9*a*c)","B"
236,1,32,40,0.034145,"\text{Not used}","int(((c - a*c*x)^(5/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a}-\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a\,c}","Not used",1,"(4*(c - a*c*x)^(5/2))/(5*a) - (2*(c - a*c*x)^(7/2))/(7*a*c)","B"
237,1,32,40,0.032842,"\text{Not used}","int(((c - a*c*x)^(3/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a}-\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a\,c}","Not used",1,"(4*(c - a*c*x)^(3/2))/(3*a) - (2*(c - a*c*x)^(5/2))/(5*a*c)","B"
238,1,32,38,0.029292,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}","Not used",1,"(4*(c - a*c*x)^(1/2))/a - (2*(c - a*c*x)^(3/2))/(3*a*c)","B"
239,1,19,36,1.207002,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^(1/2)*(a*x - 1)),x)","\frac{2\,a\,x-6}{a\,\sqrt{c-a\,c\,x}}","Not used",1,"(2*a*x - 6)/(a*(c - a*c*x)^(1/2))","B"
240,1,20,38,0.029779,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^(3/2)*(a*x - 1)),x)","-\frac{6\,a\,x-2}{3\,a\,{\left(c-a\,c\,x\right)}^{3/2}}","Not used",1,"-(6*a*x - 2)/(3*a*(c - a*c*x)^(3/2))","B"
241,1,20,40,1.209436,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^(5/2)*(a*x - 1)),x)","-\frac{10\,a\,x+2}{15\,a\,{\left(c-a\,c\,x\right)}^{5/2}}","Not used",1,"-(10*a*x + 2)/(15*a*(c - a*c*x)^(5/2))","B"
242,1,20,40,1.190319,"\text{Not used}","int((a*x + 1)/((c - a*c*x)^(7/2)*(a*x - 1)),x)","-\frac{14\,a\,x+6}{35\,a\,{\left(c-a\,c\,x\right)}^{7/2}}","Not used",1,"-(14*a*x + 6)/(35*a*(c - a*c*x)^(7/2))","B"
243,1,110,197,1.445089,"\text{Not used}","int((c - a*c*x)^(9/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(105\,a^5\,x^5-35\,a^4\,x^4-330\,a^3\,x^3+142\,a^2\,x^2+353\,a\,x-491\right)}{1155\,a}-\frac{2048\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{1155\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(353*a*x + 142*a^2*x^2 - 330*a^3*x^3 - 35*a^4*x^4 + 105*a^5*x^5 - 491))/(1155*a) - (2048*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(1155*a*(a*x - 1))","B"
244,1,102,137,1.437275,"\text{Not used}","int((c - a*c*x)^(7/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{2\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(35\,a^4\,x^4+30\,a^3\,x^3-88\,a^2\,x^2-62\,a\,x+149\right)}{315\,a}-\frac{512\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{315\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(30*a^3*x^3 - 88*a^2*x^2 - 62*a*x + 35*a^4*x^4 + 149))/(315*a) - (512*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(315*a*(a*x - 1))","B"
245,1,93,89,1.385735,"\text{Not used}","int((c - a*c*x)^(5/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{2\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(-5\,a^3\,x^3-11\,a^2\,x^2+a\,x+23\right)}{35\,a}-\frac{64\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{35\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(a*x - 11*a^2*x^2 - 5*a^3*x^3 + 23))/(35*a) - (64*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(35*a*(a*x - 1))","B"
246,1,81,31,1.384973,"\text{Not used}","int((c - a*c*x)^(3/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{2\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(a^2\,x^2+4\,a\,x+7\right)}{5\,a}-\frac{16\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{5\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(4*a*x + a^2*x^2 + 7))/(5*a) - (16*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(5*a*(a*x - 1))","B"
247,0,-1,163,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-a\,c\,x}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
248,0,-1,177,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
249,0,-1,187,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
250,0,-1,250,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
251,0,-1,307,0.000000,"\text{Not used}","int(1/((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-a\,c\,x\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
252,1,110,194,1.407930,"\text{Not used}","int((c - a*c*x)^(9/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(63\,a^5\,x^5-329\,a^4\,x^4+726\,a^3\,x^3-962\,a^2\,x^2+1259\,a\,x-4853\right)}{693\,a}-\frac{32768\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{693\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(1259*a*x - 962*a^2*x^2 + 726*a^3*x^3 - 329*a^4*x^4 + 63*a^5*x^5 - 4853))/(693*a) - (32768*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(693*a*(a*x - 1))","B"
253,1,102,161,1.363423,"\text{Not used}","int((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","-\frac{2\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(35\,a^4\,x^4-150\,a^3\,x^3+272\,a^2\,x^2-362\,a\,x+1229\right)}{315\,a}-\frac{8192\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{315\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(272*a^2*x^2 - 362*a*x - 150*a^3*x^3 + 35*a^4*x^4 + 1229))/(315*a) - (8192*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(315*a*(a*x - 1))","B"
254,1,94,128,1.371462,"\text{Not used}","int((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(5\,a^3\,x^3-17\,a^2\,x^2+27\,a\,x-79\right)}{35\,a}-\frac{512\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{35\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(27*a*x - 17*a^2*x^2 + 5*a^3*x^3 - 79))/(35*a) - (512*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(35*a*(a*x - 1))","B"
255,1,82,95,1.341778,"\text{Not used}","int((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","-\frac{2\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(3\,a^2\,x^2-8\,a\,x+21\right)}{15\,a}-\frac{128\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{15\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(3*a^2*x^2 - 8*a*x + 21))/(15*a) - (128*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(15*a*(a*x - 1))","B"
256,1,71,62,1.275536,"\text{Not used}","int((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\left(a\,x-3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a}-\frac{16\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x - 3)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a) - (16*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
257,1,34,29,1.249601,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(1/2),x)","\frac{\left(2\,x+\frac{2}{a}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\sqrt{c-a\,c\,x}}","Not used",1,"((2*x + 2/a)*((a*x - 1)/(a*x + 1))^(1/2))/(c - a*c*x)^(1/2)","B"
258,0,-1,76,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(3/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a\,c\,x\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(3/2), x)","F"
259,0,-1,136,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(5/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(5/2), x)","F"
260,0,-1,193,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(7/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a*c*x)^(7/2), x)","F"
261,1,112,137,0.082314,"\text{Not used}","int(((c - a*c*x)^(7/2)*(a*x - 1))/(a*x + 1),x)","-\frac{4\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a}-\frac{8\,c\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a}-\frac{32\,c^3\,\sqrt{c-a\,c\,x}}{a}-\frac{16\,c^2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a}-\frac{2\,{\left(c-a\,c\,x\right)}^{9/2}}{9\,a\,c}-\frac{\sqrt{2}\,c^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,32{}\mathrm{i}}{a}","Not used",1,"- (4*(c - a*c*x)^(7/2))/(7*a) - (8*c*(c - a*c*x)^(5/2))/(5*a) - (32*c^3*(c - a*c*x)^(1/2))/a - (16*c^2*(c - a*c*x)^(3/2))/(3*a) - (2*(c - a*c*x)^(9/2))/(9*a*c) - (2^(1/2)*c^(7/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*32i)/a","B"
262,1,95,116,0.065023,"\text{Not used}","int(((c - a*c*x)^(5/2)*(a*x - 1))/(a*x + 1),x)","-\frac{4\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a}-\frac{8\,c\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a}-\frac{16\,c^2\,\sqrt{c-a\,c\,x}}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a\,c}-\frac{\sqrt{2}\,c^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,16{}\mathrm{i}}{a}","Not used",1,"- (4*(c - a*c*x)^(5/2))/(5*a) - (8*c*(c - a*c*x)^(3/2))/(3*a) - (16*c^2*(c - a*c*x)^(1/2))/a - (2*(c - a*c*x)^(7/2))/(7*a*c) - (2^(1/2)*c^(5/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*16i)/a","B"
263,1,78,95,1.248445,"\text{Not used}","int(((c - a*c*x)^(3/2)*(a*x - 1))/(a*x + 1),x)","-\frac{4\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a}-\frac{8\,c\,\sqrt{c-a\,c\,x}}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a\,c}-\frac{\sqrt{2}\,c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,8{}\mathrm{i}}{a}","Not used",1,"- (4*(c - a*c*x)^(3/2))/(3*a) - (8*c*(c - a*c*x)^(1/2))/a - (2*(c - a*c*x)^(5/2))/(5*a*c) - (2^(1/2)*c^(3/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*8i)/a","B"
264,1,61,76,1.237821,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(a*x + 1),x)","\frac{4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a}","Not used",1,"(4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/a - (2*(c - a*c*x)^(3/2))/(3*a*c) - (4*(c - a*c*x)^(1/2))/a","B"
265,1,47,58,0.073543,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^(1/2)*(a*x + 1)),x)","\frac{2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a\,\sqrt{c}}-\frac{2\,\sqrt{c-a\,c\,x}}{a\,c}","Not used",1,"(2*2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(a*c^(1/2)) - (2*(c - a*c*x)^(1/2))/(a*c)","B"
266,1,28,37,0.082741,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^(3/2)*(a*x + 1)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a\,c^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(a*c^(3/2))","B"
267,1,47,57,1.234199,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^(5/2)*(a*x + 1)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{2\,a\,c^{5/2}}-\frac{1}{a\,c^2\,\sqrt{c-a\,c\,x}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(2*a*c^(5/2)) - 1/(a*c^2*(c - a*c*x)^(1/2))","B"
268,1,65,83,0.095150,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^(7/2)*(a*x + 1)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{4\,a\,c^{7/2}}-\frac{\frac{c-a\,c\,x}{2\,c^2}+\frac{1}{3\,c}}{a\,c\,{\left(c-a\,c\,x\right)}^{3/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(4*a*c^(7/2)) - ((c - a*c*x)/(2*c^2) + 1/(3*c))/(a*c*(c - a*c*x)^(3/2))","B"
269,1,79,104,0.093965,"\text{Not used}","int((a*x - 1)/((c - a*c*x)^(9/2)*(a*x + 1)),x)","\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{8\,a\,c^{9/2}}-\frac{\frac{c-a\,c\,x}{6\,c^2}+\frac{1}{5\,c}+\frac{{\left(c-a\,c\,x\right)}^2}{4\,c^3}}{a\,c\,{\left(c-a\,c\,x\right)}^{5/2}}","Not used",1,"(2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(8*a*c^(9/2)) - ((c - a*c*x)/(6*c^2) + 1/(5*c) + (c - a*c*x)^2/(4*c^3))/(a*c*(c - a*c*x)^(5/2))","B"
270,1,110,368,1.453255,"\text{Not used}","int((c - a*c*x)^(9/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(21\,a^5\,x^5-161\,a^4\,x^4+594\,a^3\,x^3-1538\,a^2\,x^2+3881\,a\,x-19181\right)}{231\,a}-\frac{131072\,c^4\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{231\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(3881*a*x - 1538*a^2*x^2 + 594*a^3*x^3 - 161*a^4*x^4 + 21*a^5*x^5 - 19181))/(231*a) - (131072*c^4*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(231*a*(a*x - 1))","B"
271,1,102,311,1.409585,"\text{Not used}","int((c - a*c*x)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{2\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(7\,a^4\,x^4-48\,a^3\,x^3+166\,a^2\,x^2-472\,a\,x+2395\right)}{63\,a}-\frac{16384\,c^3\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{63\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(166*a^2*x^2 - 472*a*x - 48*a^3*x^3 + 7*a^4*x^4 + 2395))/(63*a) - (16384*c^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(63*a*(a*x - 1))","B"
272,1,94,254,1.378184,"\text{Not used}","int((c - a*c*x)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(5\,a^3\,x^3-31\,a^2\,x^2+111\,a\,x-597\right)}{35\,a}-\frac{4096\,c^2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{35\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(111*a*x - 31*a^2*x^2 + 5*a^3*x^3 - 597))/(35*a) - (4096*c^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(35*a*(a*x - 1))","B"
273,1,81,195,1.356482,"\text{Not used}","int((c - a*c*x)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{2\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(a^2\,x^2-6\,a\,x+37\right)}{5\,a}-\frac{256\,c\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{5\,a\,\left(a\,x-1\right)}","Not used",1,"- (2*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(a^2*x^2 - 6*a*x + 37))/(5*a) - (256*c*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(5*a*(a*x - 1))","B"
274,1,71,137,1.299640,"\text{Not used}","int((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\left(a\,x-9\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a}-\frac{64\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x - 9)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a) - (64*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
275,1,34,85,1.397810,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(1/2),x)","\frac{\left(2\,x+\frac{6}{a}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\sqrt{c-a\,c\,x}}","Not used",1,"((2*x + 6/a)*((a*x - 1)/(a*x + 1))^(1/2))/(c - a*c*x)^(1/2)","B"
276,1,32,29,1.353125,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(3/2),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c\,\sqrt{c-a\,c\,x}}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c*(c - a*c*x)^(1/2))","B"
277,0,-1,120,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(5/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(5/2), x)","F"
278,0,-1,184,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(7/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a*c*x)^(7/2), x)","F"
279,1,94,99,1.225871,"\text{Not used}","int((x*(x + 1))/((x - 1)/(x + 1))^(1/2),x)","2\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\frac{6\,\sqrt{\frac{x-1}{x+1}}-\frac{16\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{3}+2\,{\left(\frac{x-1}{x+1}\right)}^{5/2}}{\frac{3\,\left(x-1\right)}{x+1}-\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}-1}","Not used",1,"2*atanh(((x - 1)/(x + 1))^(1/2)) - (6*((x - 1)/(x + 1))^(1/2) - (16*((x - 1)/(x + 1))^(3/2))/3 + 2*((x - 1)/(x + 1))^(5/2))/((3*(x - 1))/(x + 1) - (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 - 1)","B"
280,1,68,79,0.044103,"\text{Not used}","int((x + 1)/((x - 1)/(x + 1))^(1/2),x)","3\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)+\frac{5\,\sqrt{\frac{x-1}{x+1}}-3\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{2\,\left(x-1\right)}{x+1}+1}","Not used",1,"3*atanh(((x - 1)/(x + 1))^(1/2)) + (5*((x - 1)/(x + 1))^(1/2) - 3*((x - 1)/(x + 1))^(3/2))/((x - 1)^2/(x + 1)^2 - (2*(x - 1))/(x + 1) + 1)","B"
281,1,18,18,1.206713,"\text{Not used}","int(-(x*(x - 1))/((x - 1)/(x + 1))^(1/2),x)","-\frac{{\left(\frac{x-1}{x+1}\right)}^{3/2}\,{\left(x+1\right)}^3}{3}","Not used",1,"-(((x - 1)/(x + 1))^(3/2)*(x + 1)^3)/3","B"
282,1,63,35,0.034769,"\text{Not used}","int(-(x - 1)/((x - 1)/(x + 1))^(1/2),x)","\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\frac{\sqrt{\frac{x-1}{x+1}}+{\left(\frac{x-1}{x+1}\right)}^{3/2}}{\frac{{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{2\,\left(x-1\right)}{x+1}+1}","Not used",1,"atanh(((x - 1)/(x + 1))^(1/2)) - (((x - 1)/(x + 1))^(1/2) + ((x - 1)/(x + 1))^(3/2))/((x - 1)^2/(x + 1)^2 - (2*(x - 1))/(x + 1) + 1)","B"
283,1,118,133,0.047777,"\text{Not used}","int((x*(x + 1)^2)/((x - 1)/(x + 1))^(1/2),x)","\frac{15\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)}{4}+\frac{\frac{49\,\sqrt{\frac{x-1}{x+1}}}{4}-\frac{73\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{4}+\frac{55\,{\left(\frac{x-1}{x+1}\right)}^{5/2}}{4}-\frac{15\,{\left(\frac{x-1}{x+1}\right)}^{7/2}}{4}}{\frac{6\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{4\,\left(x-1\right)}{x+1}-\frac{4\,{\left(x-1\right)}^3}{{\left(x+1\right)}^3}+\frac{{\left(x-1\right)}^4}{{\left(x+1\right)}^4}+1}","Not used",1,"(15*atanh(((x - 1)/(x + 1))^(1/2)))/4 + ((49*((x - 1)/(x + 1))^(1/2))/4 - (73*((x - 1)/(x + 1))^(3/2))/4 + (55*((x - 1)/(x + 1))^(5/2))/4 - (15*((x - 1)/(x + 1))^(7/2))/4)/((6*(x - 1)^2)/(x + 1)^2 - (4*(x - 1))/(x + 1) - (4*(x - 1)^3)/(x + 1)^3 + (x - 1)^4/(x + 1)^4 + 1)","B"
284,1,94,106,0.045990,"\text{Not used}","int((x + 1)^2/((x - 1)/(x + 1))^(1/2),x)","5\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\frac{11\,\sqrt{\frac{x-1}{x+1}}-\frac{40\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{3}+5\,{\left(\frac{x-1}{x+1}\right)}^{5/2}}{\frac{3\,\left(x-1\right)}{x+1}-\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}-1}","Not used",1,"5*atanh(((x - 1)/(x + 1))^(1/2)) - (11*((x - 1)/(x + 1))^(1/2) - (40*((x - 1)/(x + 1))^(3/2))/3 + 5*((x - 1)/(x + 1))^(5/2))/((3*(x - 1))/(x + 1) - (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 - 1)","B"
285,1,118,71,1.187130,"\text{Not used}","int((x*(x - 1)^2)/((x - 1)/(x + 1))^(1/2),x)","\frac{\frac{\sqrt{\frac{x-1}{x+1}}}{4}-\frac{11\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{12}+\frac{53\,{\left(\frac{x-1}{x+1}\right)}^{5/2}}{12}+\frac{{\left(\frac{x-1}{x+1}\right)}^{7/2}}{4}}{\frac{6\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}-\frac{4\,\left(x-1\right)}{x+1}-\frac{4\,{\left(x-1\right)}^3}{{\left(x+1\right)}^3}+\frac{{\left(x-1\right)}^4}{{\left(x+1\right)}^4}+1}-\frac{\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)}{4}","Not used",1,"(((x - 1)/(x + 1))^(1/2)/4 - (11*((x - 1)/(x + 1))^(3/2))/12 + (53*((x - 1)/(x + 1))^(5/2))/12 + ((x - 1)/(x + 1))^(7/2)/4)/((6*(x - 1)^2)/(x + 1)^2 - (4*(x - 1))/(x + 1) - (4*(x - 1)^3)/(x + 1)^3 + (x - 1)^4/(x + 1)^4 + 1) - atanh(((x - 1)/(x + 1))^(1/2))/4","B"
286,1,90,53,1.182668,"\text{Not used}","int((x - 1)^2/((x - 1)/(x + 1))^(1/2),x)","\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\frac{\frac{8\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}{3}-\sqrt{\frac{x-1}{x+1}}+{\left(\frac{x-1}{x+1}\right)}^{5/2}}{\frac{3\,\left(x-1\right)}{x+1}-\frac{3\,{\left(x-1\right)}^2}{{\left(x+1\right)}^2}+\frac{{\left(x-1\right)}^3}{{\left(x+1\right)}^3}-1}","Not used",1,"atanh(((x - 1)/(x + 1))^(1/2)) - ((8*((x - 1)/(x + 1))^(3/2))/3 - ((x - 1)/(x + 1))^(1/2) + ((x - 1)/(x + 1))^(5/2))/((3*(x - 1))/(x + 1) - (3*(x - 1)^2)/(x + 1)^2 + (x - 1)^3/(x + 1)^3 - 1)","B"
287,1,26,22,0.054762,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(x + 1)),x)","-\frac{2\,\sqrt{\frac{x-1}{x+1}}}{\frac{x-1}{x+1}-1}","Not used",1,"-(2*((x - 1)/(x + 1))^(1/2))/((x - 1)/(x + 1) - 1)","B"
288,1,14,22,0.028859,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(x + 1)),x)","2\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)","Not used",1,"2*atanh(((x - 1)/(x + 1))^(1/2))","B"
289,1,43,47,1.190370,"\text{Not used}","int(-x/(((x - 1)/(x + 1))^(1/2)*(x - 1)),x)","-\frac{2\,x+8\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)\,\sqrt{\frac{x-1}{x+1}}-6}{2\,\sqrt{\frac{x-1}{x+1}}}","Not used",1,"-(2*x + 8*atanh(((x - 1)/(x + 1))^(1/2))*((x - 1)/(x + 1))^(1/2) - 6)/(2*((x - 1)/(x + 1))^(1/2))","B"
290,1,28,33,1.192944,"\text{Not used}","int(-1/(((x - 1)/(x + 1))^(1/2)*(x - 1)),x)","\frac{2}{\sqrt{\frac{x-1}{x+1}}}-2\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)","Not used",1,"2/((x - 1)/(x + 1))^(1/2) - 2*atanh(((x - 1)/(x + 1))^(1/2))","B"
291,1,28,45,0.028469,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(x + 1)^2),x)","2\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\sqrt{\frac{x-1}{x+1}}","Not used",1,"2*atanh(((x - 1)/(x + 1))^(1/2)) - ((x - 1)/(x + 1))^(1/2)","B"
292,1,11,21,0.175064,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(x + 1)^2),x)","\sqrt{1-\frac{2}{x+1}}","Not used",1,"(1 - 2/(x + 1))^(1/2)","B"
293,1,40,55,0.044252,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(x - 1)^2),x)","2\,\mathrm{atanh}\left(\sqrt{\frac{x-1}{x+1}}\right)-\frac{\frac{2\,\left(x-1\right)}{x+1}+\frac{1}{3}}{{\left(\frac{x-1}{x+1}\right)}^{3/2}}","Not used",1,"2*atanh(((x - 1)/(x + 1))^(1/2)) - ((2*(x - 1))/(x + 1) + 1/3)/((x - 1)/(x + 1))^(3/2)","B"
294,1,13,24,0.021193,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(x - 1)^2),x)","-\frac{1}{3\,{\left(\frac{x-1}{x+1}\right)}^{3/2}}","Not used",1,"-1/(3*((x - 1)/(x + 1))^(3/2))","B"
295,0,-1,65,0.000000,"\text{Not used}","int((x^m*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^m\,\sqrt{c-a\,c\,x}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x^m*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
296,1,57,140,1.379431,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(15\,a^2\,x^2-12\,a\,x+8\right)}{105\,a^3\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2)*(15*a^2*x^2 - 12*a*x + 8))/(105*a^3*(a*x - 1))","B"
297,1,49,92,1.366791,"\text{Not used}","int((x*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\left(3\,a\,x-2\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{15\,a^2\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x + 1)^2*(3*a*x - 2)*((a*x - 1)/(a*x + 1))^(1/2))/(15*a^2*(a*x - 1))","B"
298,1,43,29,0.002133,"\text{Not used}","int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
299,0,-1,94,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
300,0,-1,97,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
301,1,83,101,0.040387,"\text{Not used}","int((x^3*(c - a*c*x)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a^4}-\frac{14\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^4\,c}+\frac{18\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a^4\,c^2}-\frac{10\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a^4\,c^3}+\frac{2\,{\left(c-a\,c\,x\right)}^{9/2}}{9\,a^4\,c^4}","Not used",1,"(4*(c - a*c*x)^(1/2))/a^4 - (14*(c - a*c*x)^(3/2))/(3*a^4*c) + (18*(c - a*c*x)^(5/2))/(5*a^4*c^2) - (10*(c - a*c*x)^(7/2))/(7*a^4*c^3) + (2*(c - a*c*x)^(9/2))/(9*a^4*c^4)","B"
302,1,66,80,0.054635,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a^3}-\frac{10\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^3\,c}+\frac{8\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a^3\,c^2}-\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a^3\,c^3}","Not used",1,"(4*(c - a*c*x)^(1/2))/a^3 - (10*(c - a*c*x)^(3/2))/(3*a^3*c) + (8*(c - a*c*x)^(5/2))/(5*a^3*c^2) - (2*(c - a*c*x)^(7/2))/(7*a^3*c^3)","B"
303,1,46,57,0.050389,"\text{Not used}","int((x*(c - a*c*x)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}-10\,c\,{\left(c-a\,c\,x\right)}^{3/2}+20\,c^2\,\sqrt{c-a\,c\,x}}{5\,a^2\,c^2}","Not used",1,"(2*(c - a*c*x)^(5/2) - 10*c*(c - a*c*x)^(3/2) + 20*c^2*(c - a*c*x)^(1/2))/(5*a^2*c^2)","B"
304,1,32,38,0.002053,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(a*x - 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}","Not used",1,"(4*(c - a*c*x)^(1/2))/a - (2*(c - a*c*x)^(3/2))/(3*a*c)","B"
305,1,31,39,1.190729,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x*(a*x - 1)),x)","2\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)+2\,\sqrt{c-a\,c\,x}","Not used",1,"2*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)) + 2*(c - a*c*x)^(1/2)","B"
306,1,34,42,0.060083,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^2*(a*x - 1)),x)","\frac{\sqrt{c-a\,c\,x}}{x}+3\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)","Not used",1,"(c - a*c*x)^(1/2)/x + 3*a*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2))","B"
307,1,54,68,1.232293,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^3*(a*x - 1)),x)","\frac{9\,\sqrt{c-a\,c\,x}}{4\,x^2}+\frac{7\,a^2\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)}{4}-\frac{7\,{\left(c-a\,c\,x\right)}^{3/2}}{4\,c\,x^2}","Not used",1,"(9*(c - a*c*x)^(1/2))/(4*x^2) + (7*a^2*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)))/4 - (7*(c - a*c*x)^(3/2))/(4*c*x^2)","B"
308,1,74,89,1.201914,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^4*(a*x - 1)),x)","\frac{21\,\sqrt{c-a\,c\,x}}{8\,x^3}-\frac{11\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,c\,x^3}+\frac{11\,{\left(c-a\,c\,x\right)}^{5/2}}{8\,c^2\,x^3}-\frac{a^3\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,11{}\mathrm{i}}{8}","Not used",1,"(21*(c - a*c*x)^(1/2))/(8*x^3) - (a^3*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*11i)/8 - (11*(c - a*c*x)^(3/2))/(3*c*x^3) + (11*(c - a*c*x)^(5/2))/(8*c^2*x^3)","B"
309,1,91,110,0.065927,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^5*(a*x - 1)),x)","\frac{181\,\sqrt{c-a\,c\,x}}{64\,x^4}-\frac{365\,{\left(c-a\,c\,x\right)}^{3/2}}{64\,c\,x^4}+\frac{275\,{\left(c-a\,c\,x\right)}^{5/2}}{64\,c^2\,x^4}-\frac{75\,{\left(c-a\,c\,x\right)}^{7/2}}{64\,c^3\,x^4}-\frac{a^4\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,75{}\mathrm{i}}{64}","Not used",1,"(181*(c - a*c*x)^(1/2))/(64*x^4) - (a^4*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*75i)/64 - (365*(c - a*c*x)^(3/2))/(64*c*x^4) + (275*(c - a*c*x)^(5/2))/(64*c^2*x^4) - (75*(c - a*c*x)^(7/2))/(64*c^3*x^4)","B"
310,0,-1,309,0.000000,"\text{Not used}","int((x^3*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^3\,\sqrt{c-a\,c\,x}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
311,0,-1,261,0.000000,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^2\,\sqrt{c-a\,c\,x}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
312,0,-1,211,0.000000,"\text{Not used}","int((x*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x\,\sqrt{c-a\,c\,x}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - a*c*x)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
313,0,-1,163,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-a\,c\,x}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
314,0,-1,170,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
315,0,-1,172,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
316,0,-1,224,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
317,0,-1,274,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
318,0,-1,322,0.000000,"\text{Not used}","int((c - a*c*x)^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}}{x^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a*c*x)^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
319,1,48,144,1.325156,"\text{Not used}","int((x*(x + 1)^(3/2))/((x - 1)/(x + 1))^(1/2),x)","\sqrt{\frac{x-1}{x+1}}\,\left(\frac{46\,x\,\sqrt{x+1}}{21}+\frac{92\,\sqrt{x+1}}{21}+\frac{8\,x^2\,\sqrt{x+1}}{7}+\frac{2\,x^3\,\sqrt{x+1}}{7}\right)","Not used",1,"((x - 1)/(x + 1))^(1/2)*((46*x*(x + 1)^(1/2))/21 + (92*(x + 1)^(1/2))/21 + (8*x^2*(x + 1)^(1/2))/7 + (2*x^3*(x + 1)^(1/2))/7)","B"
320,1,38,107,1.258789,"\text{Not used}","int((x + 1)^(3/2)/((x - 1)/(x + 1))^(1/2),x)","\sqrt{\frac{x-1}{x+1}}\,\left(\frac{28\,x\,\sqrt{x+1}}{15}+\frac{86\,\sqrt{x+1}}{15}+\frac{2\,x^2\,\sqrt{x+1}}{5}\right)","Not used",1,"((x - 1)/(x + 1))^(1/2)*((28*x*(x + 1)^(1/2))/15 + (86*(x + 1)^(1/2))/15 + (2*x^2*(x + 1)^(1/2))/5)","B"
321,1,35,104,1.308872,"\text{Not used}","int((x*(1 - x)^(3/2))/((x - 1)/(x + 1))^(1/2),x)","\frac{2\,\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^2\,\left(15\,x^2-33\,x+22\right)}{105\,\sqrt{1-x}}","Not used",1,"(2*((x - 1)/(x + 1))^(1/2)*(x + 1)^2*(15*x^2 - 33*x + 22))/(105*(1 - x)^(1/2))","B"
322,1,30,68,1.249519,"\text{Not used}","int((1 - x)^(3/2)/((x - 1)/(x + 1))^(1/2),x)","\frac{2\,\left(3\,x-7\right)\,\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^2}{15\,\sqrt{1-x}}","Not used",1,"(2*(3*x - 7)*((x - 1)/(x + 1))^(1/2)*(x + 1)^2)/(15*(1 - x)^(1/2))","B"
323,1,38,107,1.251502,"\text{Not used}","int((x*(x + 1)^(1/2))/((x - 1)/(x + 1))^(1/2),x)","\sqrt{\frac{x-1}{x+1}}\,\left(\frac{6\,x\,\sqrt{x+1}}{5}+\frac{12\,\sqrt{x+1}}{5}+\frac{2\,x^2\,\sqrt{x+1}}{5}\right)","Not used",1,"((x - 1)/(x + 1))^(1/2)*((6*x*(x + 1)^(1/2))/5 + (12*(x + 1)^(1/2))/5 + (2*x^2*(x + 1)^(1/2))/5)","B"
324,1,21,70,1.235334,"\text{Not used}","int((x + 1)^(1/2)/((x - 1)/(x + 1))^(1/2),x)","\frac{2\,\sqrt{\frac{x-1}{x+1}}\,\sqrt{x+1}\,\left(x+5\right)}{3}","Not used",1,"(2*((x - 1)/(x + 1))^(1/2)*(x + 1)^(1/2)*(x + 5))/3","B"
325,1,30,71,1.267225,"\text{Not used}","int((x*(1 - x)^(1/2))/((x - 1)/(x + 1))^(1/2),x)","-\frac{2\,\left(3\,x-2\right)\,\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^2}{15\,\sqrt{1-x}}","Not used",1,"-(2*(3*x - 2)*((x - 1)/(x + 1))^(1/2)*(x + 1)^2)/(15*(1 - x)^(1/2))","B"
326,1,25,20,1.271762,"\text{Not used}","int((1 - x)^(1/2)/((x - 1)/(x + 1))^(1/2),x)","-\frac{2\,\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^2}{3\,\sqrt{1-x}}","Not used",1,"-(2*((x - 1)/(x + 1))^(1/2)*(x + 1)^2)/(3*(1 - x)^(1/2))","B"
327,1,21,73,1.241647,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(1/2)),x)","\frac{2\,\sqrt{\frac{x-1}{x+1}}\,\sqrt{x+1}\,\left(x+2\right)}{3}","Not used",1,"(2*((x - 1)/(x + 1))^(1/2)*(x + 1)^(1/2)*(x + 2))/3","B"
328,1,18,33,1.223593,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(1/2)),x)","2\,\sqrt{\frac{x-1}{x+1}}\,\sqrt{x+1}","Not used",1,"2*((x - 1)/(x + 1))^(1/2)*(x + 1)^(1/2)","B"
329,0,-1,126,0.000000,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(1/2)),x)","\int \frac{x}{\sqrt{\frac{x-1}{x+1}}\,\sqrt{1-x}} \,d x","Not used",1,"int(x/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(1/2)), x)","F"
330,0,-1,90,0.000000,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(1/2)),x)","\int \frac{1}{\sqrt{\frac{x-1}{x+1}}\,\sqrt{1-x}} \,d x","Not used",1,"int(1/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(1/2)), x)","F"
331,0,-1,93,0.000000,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(3/2)),x)","\int \frac{x}{\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int(x/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(3/2)), x)","F"
332,0,-1,58,0.000000,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(3/2)),x)","\int \frac{1}{\sqrt{\frac{x-1}{x+1}}\,{\left(x+1\right)}^{3/2}} \,d x","Not used",1,"int(1/(((x - 1)/(x + 1))^(1/2)*(x + 1)^(3/2)), x)","F"
333,0,-1,130,0.000000,"\text{Not used}","int(x/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(3/2)),x)","\int \frac{x}{\sqrt{\frac{x-1}{x+1}}\,{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int(x/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(3/2)), x)","F"
334,0,-1,90,0.000000,"\text{Not used}","int(1/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(3/2)),x)","\int \frac{1}{\sqrt{\frac{x-1}{x+1}}\,{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int(1/(((x - 1)/(x + 1))^(1/2)*(1 - x)^(3/2)), x)","F"
335,0,-1,131,0.000000,"\text{Not used}","int(x^m*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^m\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^m*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
336,1,88,142,1.285888,"\text{Not used}","int(x^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(15\,a^3\,x^3-9\,a^2\,x^2+4\,a\,x-48\right)}{105\,a^3}-\frac{304\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{105\,a^3\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(4*a*x - 9*a^2*x^2 + 15*a^3*x^3 - 48))/(105*a^3) - (304*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(105*a^3*(a*x - 1))","B"
337,1,57,104,1.286849,"\text{Not used}","int(x*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(a^3\,x^3-2\,a^2\,x^2+3\,a\,x+6\right)}{5\,a^2\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(3*a*x - 2*a^2*x^2 + a^3*x^3 + 6))/(5*a^2*(a*x - 1))","B"
338,1,71,62,0.002040,"\text{Not used}","int((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\left(a\,x-3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a}-\frac{16\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x - 3)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a) - (16*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
339,0,-1,94,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x,x)","\int \frac{\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x, x)","F"
340,0,-1,96,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2,x)","\int \frac{\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x^2} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2, x)","F"
341,1,114,139,0.084282,"\text{Not used}","int((x^3*(c - a*c*x)^(1/2)*(a*x - 1))/(a*x + 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a^4}+\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^4\,c}+\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a^4\,c^2}-\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a^4\,c^3}+\frac{2\,{\left(c-a\,c\,x\right)}^{9/2}}{9\,a^4\,c^4}+\frac{\sqrt{2}\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}}{a^4}","Not used",1,"(4*(c - a*c*x)^(1/2))/a^4 + (2*(c - a*c*x)^(3/2))/(3*a^4*c) + (2*(c - a*c*x)^(5/2))/(5*a^4*c^2) - (2*(c - a*c*x)^(7/2))/(7*a^4*c^3) + (2*(c - a*c*x)^(9/2))/(9*a^4*c^4) + (2^(1/2)*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i)/a^4","B"
342,1,80,97,1.258411,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2)*(a*x - 1))/(a*x + 1),x)","-\frac{4\,\sqrt{c-a\,c\,x}}{a^3}-\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^3\,c}-\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a^3\,c^3}-\frac{\sqrt{2}\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}}{a^3}","Not used",1,"- (4*(c - a*c*x)^(1/2))/a^3 - (2*(c - a*c*x)^(3/2))/(3*a^3*c) - (2*(c - a*c*x)^(7/2))/(7*a^3*c^3) - (2^(1/2)*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i)/a^3","B"
343,1,80,97,0.091770,"\text{Not used}","int((x*(c - a*c*x)^(1/2)*(a*x - 1))/(a*x + 1),x)","\frac{4\,\sqrt{c-a\,c\,x}}{a^2}+\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^2\,c}+\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a^2\,c^2}+\frac{\sqrt{2}\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}}{a^2}","Not used",1,"(4*(c - a*c*x)^(1/2))/a^2 + (2*(c - a*c*x)^(3/2))/(3*a^2*c) + (2*(c - a*c*x)^(5/2))/(5*a^2*c^2) + (2^(1/2)*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i)/a^2","B"
344,1,61,76,0.002229,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(a*x + 1),x)","\frac{4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a}-\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a}","Not used",1,"(4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/a - (2*(c - a*c*x)^(3/2))/(3*a*c) - (4*(c - a*c*x)^(1/2))/a","B"
345,1,57,74,0.084432,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(x*(a*x + 1)),x)","2\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)+2\,\sqrt{c-a\,c\,x}-4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)","Not used",1,"2*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)) + 2*(c - a*c*x)^(1/2) - 4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2)))","B"
346,1,61,78,1.243769,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(x^2*(a*x + 1)),x)","\frac{\sqrt{c-a\,c\,x}}{x}-5\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)+4\,\sqrt{2}\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)","Not used",1,"(c - a*c*x)^(1/2)/x - 5*a*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)) + 4*2^(1/2)*a*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2)))","B"
347,1,88,106,1.235329,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(x^3*(a*x + 1)),x)","\frac{9\,{\left(c-a\,c\,x\right)}^{3/2}}{4\,c\,x^2}-\frac{a^2\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,23{}\mathrm{i}}{4}-\frac{7\,\sqrt{c-a\,c\,x}}{4\,x^2}+\sqrt{2}\,a^2\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"(9*(c - a*c*x)^(3/2))/(4*c*x^2) - (a^2*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*23i)/4 - (7*(c - a*c*x)^(1/2))/(4*x^2) + 2^(1/2)*a^2*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i","B"
348,1,105,127,0.127843,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(x^4*(a*x + 1)),x)","\frac{13\,\sqrt{c-a\,c\,x}}{8\,x^3}+\frac{a^3\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,45{}\mathrm{i}}{8}-\frac{11\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,c\,x^3}+\frac{19\,{\left(c-a\,c\,x\right)}^{5/2}}{8\,c^2\,x^3}-\sqrt{2}\,a^3\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"(13*(c - a*c*x)^(1/2))/(8*x^3) + (a^3*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*45i)/8 - (11*(c - a*c*x)^(3/2))/(3*c*x^3) + (19*(c - a*c*x)^(5/2))/(8*c^2*x^3) - 2^(1/2)*a^3*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i","B"
349,1,122,148,1.261905,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x - 1))/(x^5*(a*x + 1)),x)","\frac{1049\,{\left(c-a\,c\,x\right)}^{3/2}}{192\,c\,x^4}-\frac{a^4\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,363{}\mathrm{i}}{64}-\frac{107\,\sqrt{c-a\,c\,x}}{64\,x^4}-\frac{1127\,{\left(c-a\,c\,x\right)}^{5/2}}{192\,c^2\,x^4}+\frac{149\,{\left(c-a\,c\,x\right)}^{7/2}}{64\,c^3\,x^4}+\sqrt{2}\,a^4\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"(1049*(c - a*c*x)^(3/2))/(192*c*x^4) - (a^4*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*363i)/64 - (107*(c - a*c*x)^(1/2))/(64*x^4) - (1127*(c - a*c*x)^(5/2))/(192*c^2*x^4) + (149*(c - a*c*x)^(7/2))/(64*c^3*x^4) + 2^(1/2)*a^4*c^(1/2)*atan((2^(1/2)*(c - a*c*x)^(1/2)*1i)/(2*c^(1/2)))*4i","B"
350,1,74,281,1.414684,"\text{Not used}","int(x^3*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(5\,a^5\,x^5-20\,a^4\,x^4+41\,a^3\,x^3-82\,a^2\,x^2+328\,a\,x+656\right)}{45\,a^4\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(328*a*x - 82*a^2*x^2 + 41*a^3*x^3 - 20*a^4*x^4 + 5*a^5*x^5 + 656))/(45*a^4*(a*x - 1))","B"
351,1,88,231,1.340168,"\text{Not used}","int(x^2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(15\,a^3\,x^3-51\,a^2\,x^2+116\,a\,x-552\right)}{105\,a^3}-\frac{3776\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{105\,a^3\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(116*a*x - 51*a^2*x^2 + 15*a^3*x^3 - 552))/(105*a^3) - (3776*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(105*a^3*(a*x - 1))","B"
352,1,58,182,1.330502,"\text{Not used}","int(x*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(3\,a^3\,x^3-16\,a^2\,x^2+79\,a\,x+158\right)}{15\,a^2\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(79*a*x - 16*a^2*x^2 + 3*a^3*x^3 + 158))/(15*a^2*(a*x - 1))","B"
353,1,71,137,0.002034,"\text{Not used}","int((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,\sqrt{c-a\,c\,x}\,\left(a\,x-9\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a}-\frac{64\,\sqrt{c-a\,c\,x}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,a\,\left(a\,x-1\right)}","Not used",1,"(2*(c - a*c*x)^(1/2)*(a*x - 9)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a) - (64*(c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/(3*a*(a*x - 1))","B"
354,0,-1,140,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x,x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x, x)","F"
355,0,-1,140,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2,x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2, x)","F"
356,0,-1,190,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3,x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3, x)","F"
357,0,-1,238,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4,x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4, x)","F"
358,0,-1,286,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5,x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5, x)","F"
359,1,223,278,1.790543,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 + 2),x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{x^3\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+2}\,\left(2\,n^2+12\,n+16\right)}{n^3+12\,n^2+44\,n+48}+\frac{{\left(c-a\,c\,x\right)}^{\frac{n}{2}+2}\,\left(2\,n^2+28\,n+112\right)}{a^3\,\left(n^3+12\,n^2+44\,n+48\right)}-\frac{2\,x\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+2}\,\left(n^2+6\,n-24\right)}{a^2\,\left(n^3+12\,n^2+44\,n+48\right)}-\frac{x^2\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+2}\,\left(2\,n^2+28\,n+48\right)}{a\,\left(n^3+12\,n^2+44\,n+48\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{1}{a^2}-\frac{2\,x}{a}+x^2\right)}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((x^3*(c - a*c*x)^(n/2 + 2)*(12*n + 2*n^2 + 16))/(44*n + 12*n^2 + n^3 + 48) + ((c - a*c*x)^(n/2 + 2)*(28*n + 2*n^2 + 112))/(a^3*(44*n + 12*n^2 + n^3 + 48)) - (2*x*(c - a*c*x)^(n/2 + 2)*(6*n + n^2 - 24))/(a^2*(44*n + 12*n^2 + n^3 + 48)) - (x^2*(c - a*c*x)^(n/2 + 2)*(28*n + 2*n^2 + 48))/(a*(44*n + 12*n^2 + n^3 + 48))))/(((a*x - 1)/(a*x))^(n/2)*(1/a^2 - (2*x)/a + x^2))","B"
360,1,140,127,1.338748,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 + 1),x)","-\frac{\left(\frac{\left(2\,n+12\right)\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+1}}{a^2\,\left(n^2+6\,n+8\right)}-\frac{x^2\,\left(2\,n+4\right)\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+1}}{n^2+6\,n+8}+\frac{8\,x\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}+1}}{a\,\left(n^2+6\,n+8\right)}\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}}{\left(x-\frac{1}{a}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-((((2*n + 12)*(c - a*c*x)^(n/2 + 1))/(a^2*(6*n + n^2 + 8)) - (x^2*(2*n + 4)*(c - a*c*x)^(n/2 + 1))/(6*n + n^2 + 8) + (8*x*(c - a*c*x)^(n/2 + 1))/(a*(6*n + n^2 + 8)))*((a*x + 1)/(a*x))^(n/2))/((x - 1/a)*((a*x - 1)/(a*x))^(n/2))","B"
361,1,55,36,1.263206,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2),x)","\frac{2\,{\left(\frac{1}{a\,x}+1\right)}^{n/2}\,{\left(c-a\,c\,x\right)}^{n/2}\,\left(a\,x+1\right)}{a\,{\left(1-\frac{1}{a\,x}\right)}^{n/2}\,\left(n+2\right)}","Not used",1,"(2*(1/(a*x) + 1)^(n/2)*(c - a*c*x)^(n/2)*(a*x + 1))/(a*(1 - 1/(a*x))^(n/2)*(n + 2))","B"
362,0,-1,80,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 - 1),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}-1} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 - 1), x)","F"
363,0,-1,88,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 - 2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{\frac{n}{2}-2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^(n/2 - 2), x)","F"
364,0,-1,104,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^p,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^p \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^p, x)","F"
365,0,-1,81,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^3,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^3 \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^3, x)","F"
366,0,-1,81,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^2,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^2 \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^2, x)","F"
367,0,-1,79,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\left(c-a\,c\,x\right) \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x), x)","F"
368,0,-1,71,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{c-a\,c\,x} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a*c*x), x)","F"
369,1,32,48,1.526965,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^2,x)","-\frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\left(a\,x+1\right)}{a\,c^2\,\left(a\,x-1\right)\,\left(n+2\right)}","Not used",1,"-(exp(n*acoth(a*x))*(a*x + 1))/(a*c^2*(a*x - 1)*(n + 2))","B"
370,1,113,104,1.647026,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^3,x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{n+3}{a^3\,c^3\,\left(n^2+6\,n+8\right)}-\frac{x^2}{a\,c^3\,\left(n^2+6\,n+8\right)}+\frac{x\,\left(n+2\right)}{a^2\,c^3\,\left(n^2+6\,n+8\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{1}{a^2}-\frac{2\,x}{a}+x^2\right)}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((n + 3)/(a^3*c^3*(6*n + n^2 + 8)) - x^2/(a*c^3*(6*n + n^2 + 8)) + (x*(n + 2))/(a^2*c^3*(6*n + n^2 + 8))))/(((a*x - 1)/(a*x))^(n/2)*(1/a^2 - (2*x)/a + x^2))","B"
371,1,180,224,1.805887,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^4,x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{2\,x^3}{a\,c^4\,\left(n^3+12\,n^2+44\,n+48\right)}+\frac{n^2+8\,n+14}{a^4\,c^4\,\left(n^3+12\,n^2+44\,n+48\right)}-\frac{x^2\,\left(2\,n+6\right)}{a^2\,c^4\,\left(n^3+12\,n^2+44\,n+48\right)}+\frac{x\,\left(n^2+6\,n+6\right)}{a^3\,c^4\,\left(n^3+12\,n^2+44\,n+48\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{3\,x}{a^2}-\frac{1}{a^3}+x^3-\frac{3\,x^2}{a}\right)}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((2*x^3)/(a*c^4*(44*n + 12*n^2 + n^3 + 48)) + (8*n + n^2 + 14)/(a^4*c^4*(44*n + 12*n^2 + n^3 + 48)) - (x^2*(2*n + 6))/(a^2*c^4*(44*n + 12*n^2 + n^3 + 48)) + (x*(6*n + n^2 + 6))/(a^3*c^4*(44*n + 12*n^2 + n^3 + 48))))/(((a*x - 1)/(a*x))^(n/2)*((3*x)/a^2 - 1/a^3 + x^3 - (3*x^2)/a))","B"
372,0,-1,98,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(5/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{5/2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^(5/2), x)","F"
373,0,-1,98,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{3/2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^(3/2), x)","F"
374,0,-1,98,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a*c*x)^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\sqrt{c-a\,c\,x} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a*c*x)^(1/2), x)","F"
375,0,-1,96,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{\sqrt{c-a\,c\,x}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a*c*x)^(1/2), x)","F"
376,0,-1,96,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^(3/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a*c*x)^(3/2), x)","F"
377,0,-1,167,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^(5/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a*c*x)^(5/2), x)","F"
378,0,-1,245,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a*c*x)^(7/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a*c*x)^(7/2), x)","F"
379,1,183,114,1.317476,"\text{Not used}","int((c - c/(a*x))^4/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{37\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+\frac{17\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}-7\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}+\frac{c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{6\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^4*((a*x - 1)/(a*x + 1))^(1/2) + (37*c^4*((a*x - 1)/(a*x + 1))^(3/2))/3 + (17*c^4*((a*x - 1)/(a*x + 1))^(5/2))/3 - 7*c^4*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) + (c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (6*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
380,1,163,88,0.110447,"\text{Not used}","int((c - c/(a*x))^3/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}+6\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-3\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a+\frac{a\,\left(a\,x-1\right)}{a\,x+1}-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}-\frac{c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{4\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^3*((a*x - 1)/(a*x + 1))^(1/2) + 6*c^3*((a*x - 1)/(a*x + 1))^(3/2) - 3*c^3*((a*x - 1)/(a*x + 1))^(5/2))/(a + (a*(a*x - 1))/(a*x + 1) - (a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) - (c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (4*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
381,1,90,62,1.223166,"\text{Not used}","int((c - c/(a*x))^2/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{4\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{2\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{2\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(4*c^2*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2) - (2*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (2*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
382,1,60,27,0.063159,"\text{Not used}","int((c - c/(a*x))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(2*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1)) - (2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
383,1,62,70,1.221906,"\text{Not used}","int(1/((c - c/(a*x))*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,a\,x+8\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}-6}{2\,a\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x + 8*atanh(((a*x - 1)/(a*x + 1))^(1/2))*((a*x - 1)/(a*x + 1))^(1/2) - 6)/(2*a*c*((a*x - 1)/(a*x + 1))^(1/2))","B"
384,1,104,105,0.099739,"\text{Not used}","int(1/((c - c/(a*x))^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^2}-\frac{\frac{11\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{6\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^2) - ((11*(a*x - 1))/(3*(a*x + 1)) - (6*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(a*c^2*((a*x - 1)/(a*x + 1))^(3/2) - a*c^2*((a*x - 1)/(a*x + 1))^(5/2))","B"
385,1,121,138,1.215879,"\text{Not used}","int(1/((c - c/(a*x))^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{8\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^3}-\frac{\frac{31\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{16\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{22\,\left(a\,x-1\right)}{15\,\left(a\,x+1\right)}+\frac{1}{5}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(8*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^3) - ((31*(a*x - 1)^2)/(3*(a*x + 1)^2) - (16*(a*x - 1)^3)/(a*x + 1)^3 + (22*(a*x - 1))/(15*(a*x + 1)) + 1/5)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(5/2) - 2*a*c^3*((a*x - 1)/(a*x + 1))^(7/2))","B"
386,1,137,171,0.108628,"\text{Not used}","int(1/((c - c/(a*x))^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{10\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^4}-\frac{\frac{67\,{\left(a\,x-1\right)}^2}{15\,{\left(a\,x+1\right)}^2}+\frac{79\,{\left(a\,x-1\right)}^3}{3\,{\left(a\,x+1\right)}^3}-\frac{40\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}+\frac{37\,\left(a\,x-1\right)}{35\,\left(a\,x+1\right)}+\frac{1}{7}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}-4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}","Not used",1,"(10*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^4) - ((67*(a*x - 1)^2)/(15*(a*x + 1)^2) + (79*(a*x - 1)^3)/(3*(a*x + 1)^3) - (40*(a*x - 1)^4)/(a*x + 1)^4 + (37*(a*x - 1))/(35*(a*x + 1)) + 1/7)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(7/2) - 4*a*c^4*((a*x - 1)/(a*x + 1))^(9/2))","B"
387,1,51,61,0.074169,"\text{Not used}","int(((c - c/(a*x))^5*(a*x + 1))/(a*x - 1),x)","-\frac{c^5\,\left(4\,a^2\,x^2-4\,a\,x+8\,a^3\,x^3-4\,a^5\,x^5+12\,a^4\,x^4\,\ln\left(x\right)+1\right)}{4\,a^5\,x^4}","Not used",1,"-(c^5*(4*a^2*x^2 - 4*a*x + 8*a^3*x^3 - 4*a^5*x^5 + 12*a^4*x^4*log(x) + 1))/(4*a^5*x^4)","B"
388,1,35,40,0.049615,"\text{Not used}","int(((c - c/(a*x))^4*(a*x + 1))/(a*x - 1),x)","-\frac{c^4\,\left(3\,a\,x-3\,a^4\,x^4+6\,a^3\,x^3\,\ln\left(x\right)-1\right)}{3\,a^4\,x^3}","Not used",1,"-(c^4*(3*a*x - 3*a^4*x^4 + 6*a^3*x^3*log(x) - 1))/(3*a^4*x^3)","B"
389,1,35,39,1.180183,"\text{Not used}","int(((c - c/(a*x))^3*(a*x + 1))/(a*x - 1),x)","\frac{c^3\,\left(2\,a\,x+2\,a^3\,x^3-2\,a^2\,x^2\,\ln\left(x\right)-1\right)}{2\,a^3\,x^2}","Not used",1,"(c^3*(2*a*x + 2*a^3*x^3 - 2*a^2*x^2*log(x) - 1))/(2*a^3*x^2)","B"
390,1,19,16,0.034150,"\text{Not used}","int(((c - c/(a*x))^2*(a*x + 1))/(a*x - 1),x)","\frac{c^2\,\left(a^2\,x^2+1\right)}{a^2\,x}","Not used",1,"(c^2*(a^2*x^2 + 1))/(a^2*x)","B"
391,1,11,11,1.168606,"\text{Not used}","int(((c - c/(a*x))*(a*x + 1))/(a*x - 1),x)","\frac{c\,\left(\ln\left(x\right)+a\,x\right)}{a}","Not used",1,"(c*(log(x) + a*x))/a","B"
392,1,34,37,0.059768,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))*(a*x - 1)),x)","\frac{x}{c}+\frac{2}{a\,\left(c-a\,c\,x\right)}+\frac{3\,\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"x/c + 2/(a*(c - a*c*x)) + (3*log(a*x - 1))/(a*c)","B"
393,1,54,53,1.214271,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^2*(a*x - 1)),x)","\frac{x}{c^2}-\frac{5\,x-\frac{4}{a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}+\frac{4\,\ln\left(a\,x-1\right)}{a\,c^2}","Not used",1,"x/c^2 - (5*x - 4/a)/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) + (4*log(a*x - 1))/(a*c^2)","B"
394,1,71,73,0.077854,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^3*(a*x - 1)),x)","\frac{9\,a\,x^2-\frac{29\,x}{2}+\frac{37}{6\,a}}{-a^3\,c^3\,x^3+3\,a^2\,c^3\,x^2-3\,a\,c^3\,x+c^3}+\frac{x}{c^3}+\frac{5\,\ln\left(a\,x-1\right)}{a\,c^3}","Not used",1,"(9*a*x^2 - (29*x)/2 + 37/(6*a))/(c^3 + 3*a^2*c^3*x^2 - a^3*c^3*x^3 - 3*a*c^3*x) + x/c^3 + (5*log(a*x - 1))/(a*c^3)","B"
395,1,90,87,0.089438,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^4*(a*x - 1)),x)","\frac{x}{c^4}-\frac{29\,x-34\,a\,x^2-\frac{17}{2\,a}+14\,a^2\,x^3}{a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3+6\,a^2\,c^4\,x^2-4\,a\,c^4\,x+c^4}+\frac{6\,\ln\left(a\,x-1\right)}{a\,c^4}","Not used",1,"x/c^4 - (29*x - 34*a*x^2 - 17/(2*a) + 14*a^2*x^3)/(c^4 + 6*a^2*c^4*x^2 - 4*a^3*c^4*x^3 + a^4*c^4*x^4 - 4*a*c^4*x) + (6*log(a*x - 1))/(a*c^4)","B"
396,1,183,103,0.129842,"\text{Not used}","int((c - c/(a*x))^4/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{5\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{29\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+\frac{c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}+c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{3\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{2\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^4*((a*x - 1)/(a*x + 1))^(1/2) + (29*c^4*((a*x - 1)/(a*x + 1))^(3/2))/3 + (c^4*((a*x - 1)/(a*x + 1))^(5/2))/3 + c^4*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) - (3*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (2*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
397,1,119,61,1.227153,"\text{Not used}","int((c - c/(a*x))^3/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{3\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+c^3\,x\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a^2\,x}+\frac{c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a^3\,x^2}","Not used",1,"(c^3*((a*x - 1)/(a*x + 1))^(1/2))/a - (3*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + c^3*x*((a*x - 1)/(a*x + 1))^(1/2) + (c^3*((a*x - 1)/(a*x + 1))^(1/2))/(2*a^2*x) + (c^3*((a*x - 1)/(a*x + 1))^(1/2))/(2*a^3*x^2)","B"
398,1,90,63,1.213386,"\text{Not used}","int((c - c/(a*x))^2/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{4\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{2\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{2\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(4*c^2*((a*x - 1)/(a*x + 1))^(3/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2) - (2*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (2*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
399,1,82,49,0.094811,"\text{Not used}","int((c - c/(a*x))/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{4\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{2\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (4*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a + (2*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1))","B"
400,1,100,105,1.239356,"\text{Not used}","int(1/((c - c/(a*x))*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{8\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}-\frac{\frac{16\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{8\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{2}{3}}{a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(8*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c) - ((16*(a*x - 1))/(3*(a*x + 1)) - (8*(a*x - 1)^2)/(a*x + 1)^2 + 2/3)/(a*c*((a*x - 1)/(a*x + 1))^(3/2) - a*c*((a*x - 1)/(a*x + 1))^(5/2))","B"
401,1,120,138,0.091112,"\text{Not used}","int(1/((c - c/(a*x))^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{10\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^2}-\frac{\frac{20\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{10\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{17\,\left(a\,x-1\right)}{15\,\left(a\,x+1\right)}+\frac{1}{5}}{a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(10*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^2) - ((20*(a*x - 1)^2)/(3*(a*x + 1)^2) - (10*(a*x - 1)^3)/(a*x + 1)^3 + (17*(a*x - 1))/(15*(a*x + 1)) + 1/5)/(a*c^2*((a*x - 1)/(a*x + 1))^(5/2) - a*c^2*((a*x - 1)/(a*x + 1))^(7/2))","B"
402,1,137,165,0.109618,"\text{Not used}","int(1/((c - c/(a*x))^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{12\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^3}-\frac{\frac{3\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{16\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{24\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}+\frac{6\,\left(a\,x-1\right)}{7\,\left(a\,x+1\right)}+\frac{1}{7}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}-2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}","Not used",1,"(12*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^3) - ((3*(a*x - 1)^2)/(a*x + 1)^2 + (16*(a*x - 1)^3)/(a*x + 1)^3 - (24*(a*x - 1)^4)/(a*x + 1)^4 + (6*(a*x - 1))/(7*(a*x + 1)) + 1/7)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(7/2) - 2*a*c^3*((a*x - 1)/(a*x + 1))^(9/2))","B"
403,1,153,204,1.245283,"\text{Not used}","int(1/((c - c/(a*x))^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{14\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^4}-\frac{\frac{89\,{\left(a\,x-1\right)}^2}{35\,{\left(a\,x+1\right)}^2}+\frac{109\,{\left(a\,x-1\right)}^3}{15\,{\left(a\,x+1\right)}^3}+\frac{112\,{\left(a\,x-1\right)}^4}{3\,{\left(a\,x+1\right)}^4}-\frac{56\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{47\,\left(a\,x-1\right)}{63\,\left(a\,x+1\right)}+\frac{1}{9}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}-4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}","Not used",1,"(14*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^4) - ((89*(a*x - 1)^2)/(35*(a*x + 1)^2) + (109*(a*x - 1)^3)/(15*(a*x + 1)^3) + (112*(a*x - 1)^4)/(3*(a*x + 1)^4) - (56*(a*x - 1)^5)/(a*x + 1)^5 + (47*(a*x - 1))/(63*(a*x + 1)) + 1/9)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(9/2) - 4*a*c^4*((a*x - 1)/(a*x + 1))^(11/2))","B"
404,1,51,64,0.063541,"\text{Not used}","int(((c - c/(a*x))^5*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{c^5\,\left(4\,a\,x+12\,a^2\,x^2-24\,a^3\,x^3-12\,a^5\,x^5+12\,a^4\,x^4\,\ln\left(x\right)-3\right)}{12\,a^5\,x^4}","Not used",1,"-(c^5*(4*a*x + 12*a^2*x^2 - 24*a^3*x^3 - 12*a^5*x^5 + 12*a^4*x^4*log(x) - 3))/(12*a^5*x^4)","B"
405,1,27,30,0.046674,"\text{Not used}","int(((c - c/(a*x))^4*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^4\,\left(a^4\,x^4+2\,a^2\,x^2-\frac{1}{3}\right)}{a^4\,x^3}","Not used",1,"(c^4*(2*a^2*x^2 + a^4*x^4 - 1/3))/(a^4*x^3)","B"
406,1,31,38,1.183897,"\text{Not used}","int(((c - c/(a*x))^3*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^3\,\left(a\,x+a^3\,x^3+a^2\,x^2\,\ln\left(x\right)+\frac{1}{2}\right)}{a^3\,x^2}","Not used",1,"(c^3*(a*x + a^3*x^3 + a^2*x^2*log(x) + 1/2))/(a^3*x^2)","B"
407,1,25,27,1.181175,"\text{Not used}","int(((c - c/(a*x))^2*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^2\,\left(a^2\,x^2+2\,a\,x\,\ln\left(x\right)-1\right)}{a^2\,x}","Not used",1,"(c^2*(a^2*x^2 + 2*a*x*log(x) - 1))/(a^2*x)","B"
408,1,24,25,0.069405,"\text{Not used}","int(((c - c/(a*x))*(a*x + 1)^2)/(a*x - 1)^2,x)","c\,x-\frac{c\,\ln\left(x\right)}{a}+\frac{4\,c\,\ln\left(a\,x-1\right)}{a}","Not used",1,"c*x - (c*log(x))/a + (4*c*log(a*x - 1))/a","B"
409,1,48,53,0.061571,"\text{Not used}","int((a*x + 1)^2/((c - c/(a*x))*(a*x - 1)^2),x)","\frac{x}{c}-\frac{8\,x-\frac{6}{a}}{c\,a^2\,x^2-2\,c\,a\,x+c}+\frac{5\,\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"x/c - (8*x - 6/a)/(c + a^2*c*x^2 - 2*a*c*x) + (5*log(a*x - 1))/(a*c)","B"
410,1,71,71,0.074975,"\text{Not used}","int((a*x + 1)^2/((c - c/(a*x))^2*(a*x - 1)^2),x)","\frac{13\,a\,x^2-20\,x+\frac{25}{3\,a}}{-a^3\,c^2\,x^3+3\,a^2\,c^2\,x^2-3\,a\,c^2\,x+c^2}+\frac{x}{c^2}+\frac{6\,\ln\left(a\,x-1\right)}{a\,c^2}","Not used",1,"(13*a*x^2 - 20*x + 25/(3*a))/(c^2 + 3*a^2*c^2*x^2 - a^3*c^2*x^3 - 3*a*c^2*x) + x/c^2 + (6*log(a*x - 1))/(a*c^2)","B"
411,1,90,89,1.225447,"\text{Not used}","int((a*x + 1)^2/((c - c/(a*x))^3*(a*x - 1)^2),x)","\frac{x}{c^3}-\frac{\frac{112\,x}{3}-\frac{89\,a\,x^2}{2}-\frac{65}{6\,a}+19\,a^2\,x^3}{a^4\,c^3\,x^4-4\,a^3\,c^3\,x^3+6\,a^2\,c^3\,x^2-4\,a\,c^3\,x+c^3}+\frac{7\,\ln\left(a\,x-1\right)}{a\,c^3}","Not used",1,"x/c^3 - ((112*x)/3 - (89*a*x^2)/2 - 65/(6*a) + 19*a^2*x^3)/(c^3 + 6*a^2*c^3*x^2 - 4*a^3*c^3*x^3 + a^4*c^3*x^4 - 4*a*c^3*x) + (7*log(a*x - 1))/(a*c^3)","B"
412,1,109,105,1.252265,"\text{Not used}","int((a*x + 1)^2/((c - c/(a*x))^4*(a*x - 1)^2),x)","\frac{x}{c^4}+\frac{\frac{311\,a\,x^2}{3}-\frac{181\,x}{3}+\frac{202}{15\,a}-82\,a^2\,x^3+26\,a^3\,x^4}{-a^5\,c^4\,x^5+5\,a^4\,c^4\,x^4-10\,a^3\,c^4\,x^3+10\,a^2\,c^4\,x^2-5\,a\,c^4\,x+c^4}+\frac{8\,\ln\left(a\,x-1\right)}{a\,c^4}","Not used",1,"x/c^4 + ((311*a*x^2)/3 - (181*x)/3 + 202/(15*a) - 82*a^2*x^3 + 26*a^3*x^4)/(c^4 + 10*a^2*c^4*x^2 - 10*a^3*c^4*x^3 + 5*a^4*c^4*x^4 - a^5*c^4*x^5 - 5*a*c^4*x) + (8*log(a*x - 1))/(a*c^4)","B"
413,1,185,135,0.120928,"\text{Not used}","int((c - c/(a*x))^4*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{25\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{15\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{55\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-\frac{61\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}-29\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{10\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(25*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (15*c^4*((a*x - 1)/(a*x + 1))^(1/2) + (55*c^4*((a*x - 1)/(a*x + 1))^(3/2))/3 - (61*c^4*((a*x - 1)/(a*x + 1))^(5/2))/3 - 29*c^4*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) - (10*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
414,1,163,106,1.254536,"\text{Not used}","int((c - c/(a*x))^3*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-5\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}+11\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a+\frac{a\,\left(a\,x-1\right)}{a\,x+1}-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}+\frac{13\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{8\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(2*c^3*((a*x - 1)/(a*x + 1))^(3/2) - 5*c^3*((a*x - 1)/(a*x + 1))^(1/2) + 11*c^3*((a*x - 1)/(a*x + 1))^(5/2))/(a + (a*(a*x - 1))/(a*x + 1) - (a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) + (13*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (8*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
415,1,90,77,1.224488,"\text{Not used}","int((c - c/(a*x))^2*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{4\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}+\frac{6\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{6\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(4*c^2*((a*x - 1)/(a*x + 1))^(3/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2) + (6*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (6*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
416,1,82,49,0.070589,"\text{Not used}","int((c - c/(a*x))*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{4\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{2\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (4*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a + (2*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1))","B"
417,1,39,19,0.053485,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x)),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c-\frac{a\,c\,\left(a\,x-1\right)}{a\,x+1}}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c - (a*c*(a*x - 1))/(a*x + 1))","B"
418,1,62,73,1.227423,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^2,x)","\frac{2\,a\,x+4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}-4}{2\,a\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x + 4*atanh(((a*x - 1)/(a*x + 1))^(1/2))*((a*x - 1)/(a*x + 1))^(1/2) - 4)/(2*a*c^2*((a*x - 1)/(a*x + 1))^(1/2))","B"
419,1,105,105,1.246002,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^3,x)","\frac{4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^3}-\frac{\frac{14\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{9\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-2\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^3) - ((14*(a*x - 1))/(3*(a*x + 1)) - (9*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(2*a*c^3*((a*x - 1)/(a*x + 1))^(3/2) - 2*a*c^3*((a*x - 1)/(a*x + 1))^(5/2))","B"
420,1,121,138,1.238037,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^4,x)","\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^4}-\frac{\frac{15\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{25\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{9\,\left(a\,x-1\right)}{5\,\left(a\,x+1\right)}+\frac{1}{5}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^4) - ((15*(a*x - 1)^2)/(a*x + 1)^2 - (25*(a*x - 1)^3)/(a*x + 1)^3 + (9*(a*x - 1))/(5*(a*x + 1)) + 1/5)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(5/2) - 4*a*c^4*((a*x - 1)/(a*x + 1))^(7/2))","B"
421,1,61,65,0.095470,"\text{Not used}","int(((c - c/(a*x))^4*(a*x - 1))/(a*x + 1),x)","c^4\,x+\frac{16\,a^2\,c^4\,x^2-3\,a\,c^4\,x+\frac{c^4}{3}}{a^4\,x^3}+\frac{26\,c^4\,\ln\left(x\right)}{a}-\frac{32\,c^4\,\ln\left(a\,x+1\right)}{a}","Not used",1,"c^4*x + (c^4/3 + 16*a^2*c^4*x^2 - 3*a*c^4*x)/(a^4*x^3) + (26*c^4*log(x))/a - (32*c^4*log(a*x + 1))/a","B"
422,1,51,54,0.077926,"\text{Not used}","int(((c - c/(a*x))^3*(a*x - 1))/(a*x + 1),x)","c^3\,x-\frac{\frac{c^3}{2}-5\,a\,c^3\,x}{a^3\,x^2}+\frac{11\,c^3\,\ln\left(x\right)}{a}-\frac{16\,c^3\,\ln\left(a\,x+1\right)}{a}","Not used",1,"c^3*x - (c^3/2 - 5*a*c^3*x)/(a^3*x^2) + (11*c^3*log(x))/a - (16*c^3*log(a*x + 1))/a","B"
423,1,40,40,1.222593,"\text{Not used}","int(((c - c/(a*x))^2*(a*x - 1))/(a*x + 1),x)","c^2\,x+\frac{c^2}{a^2\,x}+\frac{4\,c^2\,\ln\left(x\right)}{a}-\frac{8\,c^2\,\ln\left(a\,x+1\right)}{a}","Not used",1,"c^2*x + c^2/(a^2*x) + (4*c^2*log(x))/a - (8*c^2*log(a*x + 1))/a","B"
424,1,23,23,0.064116,"\text{Not used}","int(((c - c/(a*x))*(a*x - 1))/(a*x + 1),x)","c\,x+\frac{c\,\ln\left(x\right)}{a}-\frac{4\,c\,\ln\left(a\,x+1\right)}{a}","Not used",1,"c*x + (c*log(x))/a - (4*c*log(a*x + 1))/a","B"
425,1,19,20,1.201320,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))*(a*x + 1)),x)","-\frac{\ln\left(a\,x+1\right)-a\,x}{a\,c}","Not used",1,"-(log(a*x + 1) - a*x)/(a*c)","B"
426,1,17,18,1.238083,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^2*(a*x + 1)),x)","-\frac{\mathrm{atanh}\left(a\,x\right)-a\,x}{a\,c^2}","Not used",1,"-(atanh(a*x) - a*x)/(a*c^2)","B"
427,1,52,57,0.089883,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^3*(a*x + 1)),x)","\frac{x}{c^3}+\frac{1}{2\,a\,\left(c^3-a\,c^3\,x\right)}+\frac{5\,\ln\left(a\,x-1\right)}{4\,a\,c^3}-\frac{\ln\left(a\,x+1\right)}{4\,a\,c^3}","Not used",1,"x/c^3 + 1/(2*a*(c^3 - a*c^3*x)) + (5*log(a*x - 1))/(4*a*c^3) - log(a*x + 1)/(4*a*c^3)","B"
428,1,68,75,0.096142,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^4*(a*x + 1)),x)","\frac{x}{c^4}-\frac{\frac{7\,x}{4}-\frac{3}{2\,a}}{a^2\,c^4\,x^2-2\,a\,c^4\,x+c^4}+\frac{17\,\ln\left(a\,x-1\right)}{8\,a\,c^4}-\frac{\ln\left(a\,x+1\right)}{8\,a\,c^4}","Not used",1,"x/c^4 - ((7*x)/4 - 3/(2*a))/(c^4 + a^2*c^4*x^2 - 2*a*c^4*x) + (17*log(a*x - 1))/(8*a*c^4) - log(a*x + 1)/(8*a*c^4)","B"
429,1,211,164,0.137148,"\text{Not used}","int((c - c/(a*x))^4*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{41\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{169\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-\frac{91\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}-51\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}+\frac{64\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{91\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,14{}\mathrm{i}}{a}","Not used",1,"(41*c^4*((a*x - 1)/(a*x + 1))^(1/2) + (169*c^4*((a*x - 1)/(a*x + 1))^(3/2))/3 - (91*c^4*((a*x - 1)/(a*x + 1))^(5/2))/3 - 51*c^4*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) + (64*c^4*((a*x - 1)/(a*x + 1))^(1/2))/a - (91*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*14i)/a","B"
430,1,190,135,1.272710,"\text{Not used}","int((c - c/(a*x))^3*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{13\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}+6\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-11\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a+\frac{a\,\left(a\,x-1\right)}{a\,x+1}-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}+\frac{32\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}-\frac{33\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,12{}\mathrm{i}}{a}","Not used",1,"(13*c^3*((a*x - 1)/(a*x + 1))^(1/2) + 6*c^3*((a*x - 1)/(a*x + 1))^(3/2) - 11*c^3*((a*x - 1)/(a*x + 1))^(5/2))/(a + (a*(a*x - 1))/(a*x + 1) - (a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) + (32*c^3*((a*x - 1)/(a*x + 1))^(1/2))/a - (33*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*12i)/a","B"
431,1,117,105,0.102492,"\text{Not used}","int((c - c/(a*x))^2*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{16\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}+\frac{4\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{10\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,10{}\mathrm{i}}{a}","Not used",1,"(16*c^2*((a*x - 1)/(a*x + 1))^(1/2))/a + (4*c^2*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2) - (10*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*10i)/a","B"
432,1,107,75,0.093227,"\text{Not used}","int((c - c/(a*x))*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{2\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,\left(a\,x-1\right)}{a\,x+1}}-\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{8\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a}+\frac{c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{a}","Not used",1,"(2*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1))/(a*x + 1)) - (2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (c*atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*8i)/a + (8*c*((a*x - 1)/(a*x + 1))^(1/2))/a","B"
433,1,87,72,0.056393,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x)),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c-\frac{a\,c\,\left(a\,x-1\right)}{a\,x+1}}+\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c}-\frac{4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c - (a*c*(a*x - 1))/(a*x + 1)) + (2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c) - (4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
434,1,90,74,1.188399,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^2,x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c^2-\frac{a\,c^2\,\left(a\,x-1\right)}{a\,x+1}}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c^2}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^2}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c^2 - (a*c^2*(a*x - 1))/(a*x + 1)) + ((a*x - 1)/(a*x + 1))^(1/2)/(a*c^2) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^2)","B"
435,1,41,45,0.069326,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^3,x)","\frac{a^2\,x^2-2}{\left(x\,a^2\,c^3+a\,c^3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(a^2*x^2 - 2)/((a*c^3 + a^2*c^3*x)*((a*x - 1)/(a*x + 1))^(1/2))","B"
436,1,128,111,1.235318,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^4,x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,a\,c^4}-\frac{\frac{17\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{14\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-4\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}+\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^4}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(4*a*c^4) - ((17*(a*x - 1))/(3*(a*x + 1)) - (14*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(4*a*c^4*((a*x - 1)/(a*x + 1))^(3/2) - 4*a*c^4*((a*x - 1)/(a*x + 1))^(5/2)) + (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^4)","B"
437,1,144,138,0.087037,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^5,x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{8\,a\,c^5}-\frac{\frac{62\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{39\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{32\,\left(a\,x-1\right)}{15\,\left(a\,x+1\right)}+\frac{1}{5}}{8\,a\,c^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-8\,a\,c^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}+\frac{4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^5}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(8*a*c^5) - ((62*(a*x - 1)^2)/(3*(a*x + 1)^2) - (39*(a*x - 1)^3)/(a*x + 1)^3 + (32*(a*x - 1))/(15*(a*x + 1)) + 1/5)/(8*a*c^5*((a*x - 1)/(a*x + 1))^(5/2) - 8*a*c^5*((a*x - 1)/(a*x + 1))^(7/2)) + (4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^5)","B"
438,0,-1,235,0.000000,"\text{Not used}","int((c - c/(a*x))^(9/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(9/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
439,0,-1,196,0.000000,"\text{Not used}","int((c - c/(a*x))^(7/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(7/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
440,0,-1,157,0.000000,"\text{Not used}","int((c - c/(a*x))^(5/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(5/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
441,0,-1,117,0.000000,"\text{Not used}","int((c - c/(a*x))^(3/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(3/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
442,0,-1,78,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
443,0,-1,152,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
444,0,-1,215,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
445,0,-1,277,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
446,0,-1,143,0.000000,"\text{Not used}","int(((c - c/(a*x))^(9/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(9/2)*(a*x + 1))/(a*x - 1), x)","F"
447,0,-1,118,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(a*x + 1))/(a*x - 1), x)","F"
448,0,-1,95,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(a*x + 1))/(a*x - 1), x)","F"
449,0,-1,70,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(a*x + 1))/(a*x - 1), x)","F"
450,0,-1,50,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
451,0,-1,70,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(1/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(1/2)*(a*x - 1)), x)","F"
452,0,-1,95,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(3/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(3/2)*(a*x - 1)), x)","F"
453,0,-1,118,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(5/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(5/2)*(a*x - 1)), x)","F"
454,0,-1,145,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(7/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(7/2)*(a*x - 1)), x)","F"
455,0,-1,268,0.000000,"\text{Not used}","int((c - c/(a*x))^(9/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(9/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
456,0,-1,237,0.000000,"\text{Not used}","int((c - c/(a*x))^(7/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(7/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
457,0,-1,156,0.000000,"\text{Not used}","int((c - c/(a*x))^(5/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(5/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
458,0,-1,118,0.000000,"\text{Not used}","int((c - c/(a*x))^(3/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(3/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
459,0,-1,152,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
460,0,-1,215,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{\sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
461,0,-1,275,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
462,0,-1,335,0.000000,"\text{Not used}","int(1/((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
463,0,-1,221,0.000000,"\text{Not used}","int((c - c/(a*x))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
464,0,-1,161,0.000000,"\text{Not used}","int((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
465,0,-1,140,0.000000,"\text{Not used}","int((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
466,0,-1,79,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
467,0,-1,78,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(1/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{\sqrt{c-\frac{c}{a\,x}}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(1/2), x)","F"
468,0,-1,151,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(3/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(3/2), x)","F"
469,0,-1,219,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(5/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(5/2), x)","F"
470,0,-1,277,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(7/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a*x))^(7/2), x)","F"
471,0,-1,163,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(a*x - 1))/(a*x + 1), x)","F"
472,0,-1,138,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(a*x - 1))/(a*x + 1), x)","F"
473,0,-1,113,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(a*x - 1))/(a*x + 1), x)","F"
474,0,-1,92,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
475,0,-1,95,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^(1/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a*x))^(1/2)*(a*x + 1)), x)","F"
476,0,-1,94,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^(3/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a*x))^(3/2)*(a*x + 1)), x)","F"
477,0,-1,116,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^(5/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a*x))^(5/2)*(a*x + 1)), x)","F"
478,0,-1,147,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^(7/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a*x))^(7/2)*(a*x + 1)), x)","F"
479,0,-1,172,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a*x))^(9/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a*x))^(9/2)*(a*x + 1)), x)","F"
480,0,-1,335,0.000000,"\text{Not used}","int((c - c/(a*x))^(9/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{9/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(9/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
481,0,-1,277,0.000000,"\text{Not used}","int((c - c/(a*x))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
482,0,-1,219,0.000000,"\text{Not used}","int((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
483,0,-1,158,0.000000,"\text{Not used}","int((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
484,0,-1,140,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
485,0,-1,118,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(1/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{\sqrt{c-\frac{c}{a\,x}}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(1/2), x)","F"
486,0,-1,117,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(3/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(3/2), x)","F"
487,0,-1,199,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(5/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(5/2), x)","F"
488,0,-1,267,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(7/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a*x))^(7/2), x)","F"
489,0,-1,60,0.000000,"\text{Not used}","int((x^m*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^m\,\sqrt{c-\frac{c}{a\,x}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x^m*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
490,0,-1,164,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
491,0,-1,124,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
492,0,-1,78,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
493,0,-1,76,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
494,1,47,37,1.366903,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","-\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{3\,x\,\left(a\,x-1\right)}","Not used",1,"-(2*(c - c/(a*x))^(1/2)*(a*x + 1)^2*((a*x - 1)/(a*x + 1))^(1/2))/(3*x*(a*x - 1))","B"
495,1,53,77,1.394191,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2\,\left(2\,a\,x-3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{15\,x^2\,\left(a\,x-1\right)}","Not used",1,"(2*(c - c/(a*x))^(1/2)*(a*x + 1)^2*(2*a*x - 3)*((a*x - 1)/(a*x + 1))^(1/2))/(15*x^2*(a*x - 1))","B"
496,1,100,117,1.414637,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","-\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(8\,a^3\,x^3+12\,a^2\,x^2+11\,a\,x+29\right)\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3}-\frac{88\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3\,\left(a\,x-1\right)}","Not used",1,"- (2*((a*x - 1)/(a*x + 1))^(1/2)*(11*a*x + 12*a^2*x^2 + 8*a^3*x^3 + 29)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3) - (88*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3*(a*x - 1))","B"
497,1,108,159,1.441286,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}\,\left(16\,a^4\,x^4+24\,a^3\,x^3+22\,a^2\,x^2+23\,a\,x-17\right)}{315\,x^4}-\frac{104\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{315\,x^4\,\left(a\,x-1\right)}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2)*(23*a*x + 22*a^2*x^2 + 24*a^3*x^3 + 16*a^4*x^4 - 17))/(315*x^4) - (104*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(315*x^4*(a*x - 1))","B"
498,0,-1,130,0.000000,"\text{Not used}","int((x^3*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^3*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
499,0,-1,105,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
500,0,-1,80,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
501,0,-1,50,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
502,0,-1,47,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{x\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x*(a*x - 1)), x)","F"
503,1,24,42,1.261502,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^2*(a*x - 1)),x)","\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\left(5\,a\,x+1\right)}{3\,x}","Not used",1,"(2*(c - c/(a*x))^(1/2)*(5*a*x + 1))/(3*x)","B"
504,1,32,69,1.286000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^3*(a*x - 1)),x)","\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\left(6\,a^2\,x^2+3\,a\,x+1\right)}{5\,x^2}","Not used",1,"(2*(c - c/(a*x))^(1/2)*(3*a*x + 6*a^2*x^2 + 1))/(5*x^2)","B"
505,1,77,96,1.278068,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^4*(a*x - 1)),x)","\frac{208\,a^3\,\sqrt{c-\frac{c}{a\,x}}}{105}+\frac{2\,\sqrt{c-\frac{c}{a\,x}}}{7\,x^3}+\frac{26\,a\,\sqrt{c-\frac{c}{a\,x}}}{35\,x^2}+\frac{104\,a^2\,\sqrt{c-\frac{c}{a\,x}}}{105\,x}","Not used",1,"(208*a^3*(c - c/(a*x))^(1/2))/105 + (2*(c - c/(a*x))^(1/2))/(7*x^3) + (26*a*(c - c/(a*x))^(1/2))/(35*x^2) + (104*a^2*(c - c/(a*x))^(1/2))/(105*x)","B"
506,1,98,121,1.370044,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^5*(a*x - 1)),x)","\frac{544\,a^4\,\sqrt{c-\frac{c}{a\,x}}}{315}+\frac{2\,\sqrt{c-\frac{c}{a\,x}}}{9\,x^4}+\frac{34\,a\,\sqrt{c-\frac{c}{a\,x}}}{63\,x^3}+\frac{68\,a^2\,\sqrt{c-\frac{c}{a\,x}}}{105\,x^2}+\frac{272\,a^3\,\sqrt{c-\frac{c}{a\,x}}}{315\,x}","Not used",1,"(544*a^4*(c - c/(a*x))^(1/2))/315 + (2*(c - c/(a*x))^(1/2))/(9*x^4) + (34*a*(c - c/(a*x))^(1/2))/(63*x^3) + (68*a^2*(c - c/(a*x))^(1/2))/(105*x^2) + (272*a^3*(c - c/(a*x))^(1/2))/(315*x)","B"
507,0,-1,313,0.000000,"\text{Not used}","int((x^3*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
508,0,-1,261,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
509,0,-1,209,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
510,0,-1,152,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
511,0,-1,146,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
512,0,-1,125,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
513,0,-1,170,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
514,0,-1,209,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
515,0,-1,303,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}}{x^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
516,0,-1,126,0.000000,"\text{Not used}","int(x^m*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^m\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^m*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
517,0,-1,164,0.000000,"\text{Not used}","int(x^2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
518,0,-1,124,0.000000,"\text{Not used}","int(x*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
519,0,-1,79,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
520,0,-1,76,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x,x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x, x)","F"
521,1,54,70,1.330765,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2,x)","-\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(5\,a^2\,x^2+4\,a\,x-1\right)}{3\,x\,\left(a\,x-1\right)}","Not used",1,"-(2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(4*a*x + 5*a^2*x^2 - 1))/(3*x*(a*x - 1))","B"
522,1,62,113,1.353161,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^3,x)","\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(6\,a^3\,x^3+3\,a^2\,x^2-2\,a\,x+1\right)}{5\,x^2\,\left(a\,x-1\right)}","Not used",1,"(2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(3*a^2*x^2 - 2*a*x + 6*a^3*x^3 + 1))/(5*x^2*(a*x - 1))","B"
523,1,100,149,1.407945,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^4,x)","-\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(104\,a^3\,x^3+156\,a^2\,x^2+143\,a\,x+167\right)\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3}-\frac{304\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3\,\left(a\,x-1\right)}","Not used",1,"- (2*((a*x - 1)/(a*x + 1))^(1/2)*(143*a*x + 156*a^2*x^2 + 104*a^3*x^3 + 167)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3) - (304*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3*(a*x - 1))","B"
524,0,-1,172,0.000000,"\text{Not used}","int((x^3*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^3*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
525,0,-1,147,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
526,0,-1,122,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
527,0,-1,92,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
528,0,-1,86,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x*(a*x + 1)), x)","F"
529,0,-1,82,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^2*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^2*(a*x + 1)), x)","F"
530,0,-1,113,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^3*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{x^3\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^3*(a*x + 1)), x)","F"
531,0,-1,113,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^4*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{x^4\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^4*(a*x + 1)), x)","F"
532,0,-1,163,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^5*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x-1\right)}{x^5\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x - 1))/(x^5*(a*x + 1)), x)","F"
533,0,-1,303,0.000000,"\text{Not used}","int(x^3*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^3\,\sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^3*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
534,0,-1,251,0.000000,"\text{Not used}","int(x^2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^2\,\sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
535,0,-1,199,0.000000,"\text{Not used}","int(x*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x\,\sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
536,0,-1,140,0.000000,"\text{Not used}","int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
537,0,-1,134,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x,x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x, x)","F"
538,1,54,109,1.360653,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2,x)","\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(23\,a^2\,x^2+10\,a\,x-1\right)}{3\,x\,\left(a\,x-1\right)}","Not used",1,"(2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(10*a*x + 23*a^2*x^2 - 1))/(3*x*(a*x - 1))","B"
539,1,62,150,1.442244,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3,x)","-\frac{2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(158\,a^3\,x^3+79\,a^2\,x^2-16\,a\,x+3\right)}{15\,x^2\,\left(a\,x-1\right)}","Not used",1,"-(2*(c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)*(79*a^2*x^2 - 16*a*x + 158*a^3*x^3 + 3))/(15*x^2*(a*x - 1))","B"
540,1,100,188,1.414665,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4,x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(1336\,a^3\,x^3+2004\,a^2\,x^2+1837\,a\,x+1903\right)\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3}+\frac{3776\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3\,\left(a\,x-1\right)}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2)*(1837*a*x + 2004*a^2*x^2 + 1336*a^3*x^3 + 1903)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3) + (3776*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3*(a*x - 1))","B"
541,1,108,289,1.409917,"\text{Not used}","int(((c - c/(a*x))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5,x)","-\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}\,\left(656\,a^4\,x^4+984\,a^3\,x^3+902\,a^2\,x^2+943\,a\,x+923\right)}{45\,x^4}-\frac{1856\,\sqrt{\frac{a\,x-1}{a\,x+1}}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{45\,x^4\,\left(a\,x-1\right)}","Not used",1,"- (2*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2)*(943*a*x + 902*a^2*x^2 + 984*a^3*x^3 + 656*a^4*x^4 + 923))/(45*x^4) - (1856*((a*x - 1)/(a*x + 1))^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(45*x^4*(a*x - 1))","B"
542,0,-1,185,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\left(c-\frac{c}{a\,x}\right) \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a*x)), x)","F"
543,0,-1,113,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a*x)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{c-\frac{c}{a\,x}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a*x)), x)","F"
544,0,-1,166,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a*x))^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-\frac{c}{a\,x}\right)}^2} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a*x))^2, x)","F"
545,0,-1,111,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a*x))^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^{3/2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a*x))^(3/2), x)","F"
546,0,-1,111,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a*x))^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\sqrt{c-\frac{c}{a\,x}} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a*x))^(1/2), x)","F"
547,0,-1,111,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a*x))^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{\sqrt{c-\frac{c}{a\,x}}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a*x))^(1/2), x)","F"
548,0,-1,111,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a*x))^(3/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a*x))^(3/2), x)","F"
549,0,-1,110,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a*x))^p, x)","F"
550,0,-1,67,0.000000,"\text{Not used}","int(exp(2*p*acoth(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{2\,p\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(2*p*acoth(a*x))*(c - c/(a*x))^p, x)","F"
551,0,-1,93,0.000000,"\text{Not used}","int(exp(-2*p*acoth(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{-2\,p\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(-2*p*acoth(a*x))*(c - c/(a*x))^p, x)","F"
552,0,-1,57,0.000000,"\text{Not used}","int(((c - c/(a*x))^p*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a*x))^p*(a*x + 1))/(a*x - 1), x)","F"
553,0,-1,90,0.000000,"\text{Not used}","int((c - c/(a*x))^p/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a*x))^p/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
554,0,-1,88,0.000000,"\text{Not used}","int((c - c/(a*x))^p*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a\,x}\right)}^p\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a*x))^p*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
555,0,-1,114,0.000000,"\text{Not used}","int(((c - c/(a*x))^p*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^p*(a*x - 1))/(a*x + 1), x)","F"
556,1,362,393,1.367290,"\text{Not used}","int((c - a^2*c*x^2)^4/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{455\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{96}-\frac{35\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64}-\frac{581\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{32}+\frac{1289\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{32}+\frac{512\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{9}-\frac{1289\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{32}+\frac{581\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{32}-\frac{455\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{96}+\frac{35\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/2}}{64}}{a-\frac{9\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{36\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{84\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{126\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{126\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{84\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{36\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}+\frac{9\,a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}-\frac{a\,{\left(a\,x-1\right)}^9}{{\left(a\,x+1\right)}^9}}+\frac{35\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{64\,a}","Not used",1,"((455*c^4*((a*x - 1)/(a*x + 1))^(3/2))/96 - (35*c^4*((a*x - 1)/(a*x + 1))^(1/2))/64 - (581*c^4*((a*x - 1)/(a*x + 1))^(5/2))/32 + (1289*c^4*((a*x - 1)/(a*x + 1))^(7/2))/32 + (512*c^4*((a*x - 1)/(a*x + 1))^(9/2))/9 - (1289*c^4*((a*x - 1)/(a*x + 1))^(11/2))/32 + (581*c^4*((a*x - 1)/(a*x + 1))^(13/2))/32 - (455*c^4*((a*x - 1)/(a*x + 1))^(15/2))/96 + (35*c^4*((a*x - 1)/(a*x + 1))^(17/2))/64)/(a - (9*a*(a*x - 1))/(a*x + 1) + (36*a*(a*x - 1)^2)/(a*x + 1)^2 - (84*a*(a*x - 1)^3)/(a*x + 1)^3 + (126*a*(a*x - 1)^4)/(a*x + 1)^4 - (126*a*(a*x - 1)^5)/(a*x + 1)^5 + (84*a*(a*x - 1)^6)/(a*x + 1)^6 - (36*a*(a*x - 1)^7)/(a*x + 1)^7 + (9*a*(a*x - 1)^8)/(a*x + 1)^8 - (a*(a*x - 1)^9)/(a*x + 1)^9) + (35*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(64*a)","B"
557,1,289,313,1.307544,"\text{Not used}","int((c - a^2*c*x^2)^3/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}-\frac{\frac{5\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}-\frac{25\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6}+\frac{283\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{24}+\frac{128\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{7}-\frac{283\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{24}+\frac{25\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{6}-\frac{5\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}}{a-\frac{7\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{21\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{35\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{35\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{21\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{7\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}}","Not used",1,"(5*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) - ((5*c^3*((a*x - 1)/(a*x + 1))^(1/2))/8 - (25*c^3*((a*x - 1)/(a*x + 1))^(3/2))/6 + (283*c^3*((a*x - 1)/(a*x + 1))^(5/2))/24 + (128*c^3*((a*x - 1)/(a*x + 1))^(7/2))/7 - (283*c^3*((a*x - 1)/(a*x + 1))^(9/2))/24 + (25*c^3*((a*x - 1)/(a*x + 1))^(11/2))/6 - (5*c^3*((a*x - 1)/(a*x + 1))^(13/2))/8)/(a - (7*a*(a*x - 1))/(a*x + 1) + (21*a*(a*x - 1)^2)/(a*x + 1)^2 - (35*a*(a*x - 1)^3)/(a*x + 1)^3 + (35*a*(a*x - 1)^4)/(a*x + 1)^4 - (21*a*(a*x - 1)^5)/(a*x + 1)^5 + (7*a*(a*x - 1)^6)/(a*x + 1)^6 - (a*(a*x - 1)^7)/(a*x + 1)^7)","B"
558,1,214,233,1.261444,"\text{Not used}","int((c - a^2*c*x^2)^2/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2}-\frac{3\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{32\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{5}-\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{2}+\frac{3\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}+\frac{3\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((7*c^2*((a*x - 1)/(a*x + 1))^(3/2))/2 - (3*c^2*((a*x - 1)/(a*x + 1))^(1/2))/4 + (32*c^2*((a*x - 1)/(a*x + 1))^(5/2))/5 - (7*c^2*((a*x - 1)/(a*x + 1))^(7/2))/2 + (3*c^2*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) + (3*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
559,1,131,145,0.070146,"\text{Not used}","int((c - a^2*c*x^2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{c\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{8\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}","Not used",1,"(c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a - (c*((a*x - 1)/(a*x + 1))^(1/2) + (8*c*((a*x - 1)/(a*x + 1))^(3/2))/3 - c*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3)","B"
560,1,22,13,1.224693,"\text{Not used}","int(1/((c - a^2*c*x^2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{1}{a\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"1/(a*c*((a*x - 1)/(a*x + 1))^(1/2))","B"
561,1,50,51,0.070764,"\text{Not used}","int(1/((c - a^2*c*x^2)^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{-2\,a^2\,x^2+2\,a\,x+1}{\left(3\,a\,c^2-3\,a^3\,c^2\,x^2\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x - 2*a^2*x^2 + 1)/((3*a*c^2 - 3*a^3*c^2*x^2)*((a*x - 1)/(a*x + 1))^(1/2))","B"
562,1,60,85,0.072680,"\text{Not used}","int(1/((c - a^2*c*x^2)^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{8\,a^4\,x^4-8\,a^3\,x^3-12\,a^2\,x^2+12\,a\,x+3}{15\,a\,c^3\,{\left(a\,x+1\right)}^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(12*a*x - 12*a^2*x^2 - 8*a^3*x^3 + 8*a^4*x^4 + 3)/(15*a*c^3*(a*x + 1)^4*((a*x - 1)/(a*x + 1))^(5/2))","B"
563,1,142,119,0.062456,"\text{Not used}","int(1/((c - a^2*c*x^2)^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{15\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64\,a\,c^4}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{32\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{320\,a\,c^4}-\frac{\frac{5\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{20\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{6\,\left(a\,x-1\right)}{5\,\left(a\,x+1\right)}+\frac{1}{7}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(15*((a*x - 1)/(a*x + 1))^(1/2))/(64*a*c^4) - ((a*x - 1)/(a*x + 1))^(3/2)/(32*a*c^4) + ((a*x - 1)/(a*x + 1))^(5/2)/(320*a*c^4) - ((5*(a*x - 1)^2)/(a*x + 1)^2 - (20*(a*x - 1)^3)/(a*x + 1)^3 - (6*(a*x - 1))/(5*(a*x + 1)) + 1/7)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(7/2))","B"
564,1,113,84,1.251477,"\text{Not used}","int(((c - a^2*c*x^2)^5*(a*x + 1))/(a*x - 1),x)","-\frac{a^{10}\,c^5\,x^{11}}{11}-\frac{a^9\,c^5\,x^{10}}{5}+\frac{a^8\,c^5\,x^9}{3}+a^7\,c^5\,x^8-\frac{2\,a^6\,c^5\,x^7}{7}-2\,a^5\,c^5\,x^6-\frac{2\,a^4\,c^5\,x^5}{5}+2\,a^3\,c^5\,x^4+a^2\,c^5\,x^3-a\,c^5\,x^2-c^5\,x","Not used",1,"a^2*c^5*x^3 - a*c^5*x^2 - c^5*x + 2*a^3*c^5*x^4 - (2*a^4*c^5*x^5)/5 - 2*a^5*c^5*x^6 - (2*a^6*c^5*x^7)/7 + a^7*c^5*x^8 + (a^8*c^5*x^9)/3 - (a^9*c^5*x^10)/5 - (a^10*c^5*x^11)/11","B"
565,1,82,69,0.042465,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x + 1))/(a*x - 1),x)","\frac{a^8\,c^4\,x^9}{9}+\frac{a^7\,c^4\,x^8}{4}-\frac{2\,a^6\,c^4\,x^7}{7}-a^5\,c^4\,x^6+\frac{3\,a^3\,c^4\,x^4}{2}+\frac{2\,a^2\,c^4\,x^3}{3}-a\,c^4\,x^2-c^4\,x","Not used",1,"(2*a^2*c^4*x^3)/3 - a*c^4*x^2 - c^4*x + (3*a^3*c^4*x^4)/2 - a^5*c^4*x^6 - (2*a^6*c^4*x^7)/7 + (a^7*c^4*x^8)/4 + (a^8*c^4*x^9)/9","B"
566,1,70,52,0.035361,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x + 1))/(a*x - 1),x)","-\frac{a^6\,c^3\,x^7}{7}-\frac{a^5\,c^3\,x^6}{3}+\frac{a^4\,c^3\,x^5}{5}+a^3\,c^3\,x^4+\frac{a^2\,c^3\,x^3}{3}-a\,c^3\,x^2-c^3\,x","Not used",1,"(a^2*c^3*x^3)/3 - a*c^3*x^2 - c^3*x + a^3*c^3*x^4 + (a^4*c^3*x^5)/5 - (a^5*c^3*x^6)/3 - (a^6*c^3*x^7)/7","B"
567,1,38,35,0.052986,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x + 1))/(a*x - 1),x)","\frac{a^4\,c^2\,x^5}{5}+\frac{a^3\,c^2\,x^4}{2}-a\,c^2\,x^2-c^2\,x","Not used",1,"(a^3*c^2*x^4)/2 - a*c^2*x^2 - c^2*x + (a^4*c^2*x^5)/5","B"
568,1,17,15,0.034843,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1))/(a*x - 1),x)","-\frac{c\,x\,\left(a^2\,x^2+3\,a\,x+3\right)}{3}","Not used",1,"-(c*x*(3*a*x + a^2*x^2 + 3))/3","B"
569,1,14,16,0.035308,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)*(a*x - 1)),x)","-\frac{1}{a\,\left(c-a\,c\,x\right)}","Not used",1,"-1/(a*(c - a*c*x))","B"
570,1,46,51,1.262630,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^2*(a*x - 1)),x)","\frac{\frac{x}{4}-\frac{1}{2\,a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^2}","Not used",1,"(x/4 - 1/(2*a))/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) - atanh(a*x)/(4*a*c^2)","B"
571,1,73,86,0.090637,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^3*(a*x - 1)),x)","-\frac{\frac{x}{12}-\frac{a\,x^2}{2}+\frac{1}{3\,a}+\frac{a^2\,x^3}{4}}{-a^4\,c^3\,x^4+2\,a^3\,c^3\,x^3-2\,a\,c^3\,x+c^3}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^3}","Not used",1,"- (x/12 - (a*x^2)/2 + 1/(3*a) + (a^2*x^3)/4)/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x) - atanh(a*x)/(4*a*c^3)","B"
572,1,121,121,1.302404,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^4*(a*x - 1)),x)","\frac{\frac{17\,x}{64}-\frac{25\,a\,x^2}{32}+\frac{1}{4\,a}+\frac{5\,a^2\,x^3}{32}+\frac{15\,a^3\,x^4}{32}-\frac{15\,a^4\,x^5}{64}}{-a^6\,c^4\,x^6+2\,a^5\,c^4\,x^5+a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3+a^2\,c^4\,x^2+2\,a\,c^4\,x-c^4}-\frac{15\,\mathrm{atanh}\left(a\,x\right)}{64\,a\,c^4}","Not used",1,"((17*x)/64 - (25*a*x^2)/32 + 1/(4*a) + (5*a^2*x^3)/32 + (15*a^3*x^4)/32 - (15*a^4*x^5)/64)/(a^2*c^4*x^2 - c^4 - 4*a^3*c^4*x^3 + a^4*c^4*x^4 + 2*a^5*c^4*x^5 - a^6*c^4*x^6 + 2*a*c^4*x) - (15*atanh(a*x))/(64*a*c^4)","B"
573,1,362,393,0.214598,"\text{Not used}","int((c - a^2*c*x^2)^4/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{55\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64}-\frac{715\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{96}+\frac{913\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{32}+\frac{18589\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{224}-\frac{5632\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{63}+\frac{14179\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{224}-\frac{913\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{32}+\frac{715\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{96}-\frac{55\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/2}}{64}}{a-\frac{9\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{36\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{84\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{126\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{126\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{84\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{36\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}+\frac{9\,a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}-\frac{a\,{\left(a\,x-1\right)}^9}{{\left(a\,x+1\right)}^9}}-\frac{55\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{64\,a}","Not used",1,"((55*c^4*((a*x - 1)/(a*x + 1))^(1/2))/64 - (715*c^4*((a*x - 1)/(a*x + 1))^(3/2))/96 + (913*c^4*((a*x - 1)/(a*x + 1))^(5/2))/32 + (18589*c^4*((a*x - 1)/(a*x + 1))^(7/2))/224 - (5632*c^4*((a*x - 1)/(a*x + 1))^(9/2))/63 + (14179*c^4*((a*x - 1)/(a*x + 1))^(11/2))/224 - (913*c^4*((a*x - 1)/(a*x + 1))^(13/2))/32 + (715*c^4*((a*x - 1)/(a*x + 1))^(15/2))/96 - (55*c^4*((a*x - 1)/(a*x + 1))^(17/2))/64)/(a - (9*a*(a*x - 1))/(a*x + 1) + (36*a*(a*x - 1)^2)/(a*x + 1)^2 - (84*a*(a*x - 1)^3)/(a*x + 1)^3 + (126*a*(a*x - 1)^4)/(a*x + 1)^4 - (126*a*(a*x - 1)^5)/(a*x + 1)^5 + (84*a*(a*x - 1)^6)/(a*x + 1)^6 - (36*a*(a*x - 1)^7)/(a*x + 1)^7 + (9*a*(a*x - 1)^8)/(a*x + 1)^8 - (a*(a*x - 1)^9)/(a*x + 1)^9) - (55*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(64*a)","B"
574,1,289,313,0.122664,"\text{Not used}","int((c - a^2*c*x^2)^3/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{\frac{15\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2}-\frac{9\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}+\frac{1199\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}-\frac{1152\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{35}+\frac{849\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{40}-\frac{15\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{2}+\frac{9\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}}{a-\frac{7\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{21\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{35\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{35\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{21\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{7\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}}-\frac{9\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}","Not used",1,"- ((15*c^3*((a*x - 1)/(a*x + 1))^(3/2))/2 - (9*c^3*((a*x - 1)/(a*x + 1))^(1/2))/8 + (1199*c^3*((a*x - 1)/(a*x + 1))^(5/2))/40 - (1152*c^3*((a*x - 1)/(a*x + 1))^(7/2))/35 + (849*c^3*((a*x - 1)/(a*x + 1))^(9/2))/40 - (15*c^3*((a*x - 1)/(a*x + 1))^(11/2))/2 + (9*c^3*((a*x - 1)/(a*x + 1))^(13/2))/8)/(a - (7*a*(a*x - 1))/(a*x + 1) + (21*a*(a*x - 1)^2)/(a*x + 1)^2 - (35*a*(a*x - 1)^3)/(a*x + 1)^3 + (35*a*(a*x - 1)^4)/(a*x + 1)^4 - (21*a*(a*x - 1)^5)/(a*x + 1)^5 + (7*a*(a*x - 1)^6)/(a*x + 1)^6 - (a*(a*x - 1)^7)/(a*x + 1)^7) - (9*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a)","B"
575,1,214,233,1.246452,"\text{Not used}","int((c - a^2*c*x^2)^2/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{7\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{79\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6}-\frac{224\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{15}+\frac{49\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{6}-\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}-\frac{7\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((7*c^2*((a*x - 1)/(a*x + 1))^(1/2))/4 + (79*c^2*((a*x - 1)/(a*x + 1))^(3/2))/6 - (224*c^2*((a*x - 1)/(a*x + 1))^(5/2))/15 + (49*c^2*((a*x - 1)/(a*x + 1))^(7/2))/6 - (7*c^2*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) - (7*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
576,1,133,145,0.069657,"\text{Not used}","int((c - a^2*c*x^2)/((a*x - 1)/(a*x + 1))^(3/2),x)","-\frac{11\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{40\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+5\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}-\frac{5\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"- (11*c*((a*x - 1)/(a*x + 1))^(1/2) - (40*c*((a*x - 1)/(a*x + 1))^(3/2))/3 + 5*c*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) - (5*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
577,1,23,18,0.032134,"\text{Not used}","int(1/((c - a^2*c*x^2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{1}{3\,a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}","Not used",1,"1/(3*a*c*((a*x - 1)/(a*x + 1))^(3/2))","B"
578,1,55,55,0.039563,"\text{Not used}","int(1/((c - a^2*c*x^2)^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}+\frac{1}{5}}{4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"-((a*x - 1)^2/(a*x + 1)^2 - (2*(a*x - 1))/(3*(a*x + 1)) + 1/5)/(4*a*c^2*((a*x - 1)/(a*x + 1))^(5/2))","B"
579,1,60,91,1.264340,"\text{Not used}","int(1/((c - a^2*c*x^2)^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{8\,a^4\,x^4-24\,a^3\,x^3+20\,a^2\,x^2+4\,a\,x-13}{35\,a\,c^3\,{\left(a\,x+1\right)}^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"-(4*a*x + 20*a^2*x^2 - 24*a^3*x^3 + 8*a^4*x^4 - 13)/(35*a*c^3*(a*x + 1)^4*((a*x - 1)/(a*x + 1))^(7/2))","B"
580,1,76,127,1.259744,"\text{Not used}","int(1/((c - a^2*c*x^2)^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","-\frac{16\,a^6\,x^6-48\,a^5\,x^5+24\,a^4\,x^4+56\,a^3\,x^3-66\,a^2\,x^2+6\,a\,x+19}{63\,a\,c^4\,{\left(a\,x+1\right)}^6\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}","Not used",1,"-(6*a*x - 66*a^2*x^2 + 56*a^3*x^3 + 24*a^4*x^4 - 48*a^5*x^5 + 16*a^6*x^6 + 19)/(63*a*c^4*(a*x + 1)^6*((a*x - 1)/(a*x + 1))^(9/2))","B"
581,1,101,66,1.242764,"\text{Not used}","int(((c - a^2*c*x^2)^5*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{a^{10}\,c^5\,x^{11}}{11}-\frac{2\,a^9\,c^5\,x^{10}}{5}-\frac{a^8\,c^5\,x^9}{3}+a^7\,c^5\,x^8+2\,a^6\,c^5\,x^7-\frac{14\,a^4\,c^5\,x^5}{5}-2\,a^3\,c^5\,x^4+a^2\,c^5\,x^3+2\,a\,c^5\,x^2+c^5\,x","Not used",1,"c^5*x + 2*a*c^5*x^2 + a^2*c^5*x^3 - 2*a^3*c^5*x^4 - (14*a^4*c^5*x^5)/5 + 2*a^6*c^5*x^7 + a^7*c^5*x^8 - (a^8*c^5*x^9)/3 - (2*a^9*c^5*x^10)/5 - (a^10*c^5*x^11)/11","B"
582,1,92,52,0.051437,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{a^8\,c^4\,x^9}{9}+\frac{a^7\,c^4\,x^8}{2}+\frac{4\,a^6\,c^4\,x^7}{7}-\frac{2\,a^5\,c^4\,x^6}{3}-2\,a^4\,c^4\,x^5-a^3\,c^4\,x^4+\frac{4\,a^2\,c^4\,x^3}{3}+2\,a\,c^4\,x^2+c^4\,x","Not used",1,"c^4*x + 2*a*c^4*x^2 + (4*a^2*c^4*x^3)/3 - a^3*c^4*x^4 - 2*a^4*c^4*x^5 - (2*a^5*c^4*x^6)/3 + (4*a^6*c^4*x^7)/7 + (a^7*c^4*x^8)/2 + (a^8*c^4*x^9)/9","B"
583,1,59,35,0.034303,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{a^6\,c^3\,x^7}{7}-\frac{2\,a^5\,c^3\,x^6}{3}-a^4\,c^3\,x^5+\frac{5\,a^2\,c^3\,x^3}{3}+2\,a\,c^3\,x^2+c^3\,x","Not used",1,"c^3*x + 2*a*c^3*x^2 + (5*a^2*c^3*x^3)/3 - a^4*c^3*x^5 - (2*a^5*c^3*x^6)/3 - (a^6*c^3*x^7)/7","B"
584,1,47,17,0.031629,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{a^4\,c^2\,x^5}{5}+a^3\,c^2\,x^4+2\,a^2\,c^2\,x^3+2\,a\,c^2\,x^2+c^2\,x","Not used",1,"c^2*x + 2*a*c^2*x^2 + 2*a^2*c^2*x^3 + a^3*c^2*x^4 + (a^4*c^2*x^5)/5","B"
585,1,33,46,0.051095,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^2)/(a*x - 1)^2,x)","-7\,c\,x-\frac{a^2\,c\,x^3}{3}-\frac{8\,c\,\ln\left(a\,x-1\right)}{a}-2\,a\,c\,x^2","Not used",1,"- 7*c*x - (a^2*c*x^3)/3 - (8*c*log(a*x - 1))/a - 2*a*c*x^2","B"
586,1,12,13,0.049960,"\text{Not used}","int((a*x + 1)^2/((c - a^2*c*x^2)*(a*x - 1)^2),x)","\frac{x}{c\,{\left(a\,x-1\right)}^2}","Not used",1,"x/(c*(a*x - 1)^2)","B"
587,1,40,18,0.061804,"\text{Not used}","int((a*x + 1)^2/((c - a^2*c*x^2)^2*(a*x - 1)^2),x)","\frac{1}{-3\,a^4\,c^2\,x^3+9\,a^3\,c^2\,x^2-9\,a^2\,c^2\,x+3\,a\,c^2}","Not used",1,"1/(3*a*c^2 - 9*a^2*c^2*x + 9*a^3*c^2*x^2 - 3*a^4*c^2*x^3)","B"
588,1,83,87,0.092140,"\text{Not used}","int((a*x + 1)^2/((c - a^2*c*x^2)^3*(a*x - 1)^2),x)","\frac{\mathrm{atanh}\left(a\,x\right)}{16\,a\,c^3}-\frac{\frac{19\,x}{48}-\frac{a\,x^2}{4}-\frac{1}{3\,a}+\frac{a^2\,x^3}{16}}{a^4\,c^3\,x^4-4\,a^3\,c^3\,x^3+6\,a^2\,c^3\,x^2-4\,a\,c^3\,x+c^3}","Not used",1,"atanh(a*x)/(16*a*c^3) - ((19*x)/48 - (a*x^2)/4 - 1/(3*a) + (a^2*x^3)/16)/(c^3 + 6*a^2*c^3*x^2 - 4*a^3*c^3*x^3 + a^4*c^3*x^4 - 4*a*c^3*x)","B"
589,1,111,122,1.298406,"\text{Not used}","int((a*x + 1)^2/((c - a^2*c*x^2)^4*(a*x - 1)^2),x)","\frac{3\,\mathrm{atanh}\left(a\,x\right)}{32\,a\,c^4}-\frac{\frac{47\,x}{160}+\frac{a\,x^2}{8}-\frac{3}{10\,a}-\frac{a^2\,x^3}{2}+\frac{3\,a^3\,x^4}{8}-\frac{3\,a^4\,x^5}{32}}{-a^6\,c^4\,x^6+4\,a^5\,c^4\,x^5-5\,a^4\,c^4\,x^4+5\,a^2\,c^4\,x^2-4\,a\,c^4\,x+c^4}","Not used",1,"(3*atanh(a*x))/(32*a*c^4) - ((47*x)/160 + (a*x^2)/8 - 3/(10*a) - (a^2*x^3)/2 + (3*a^3*x^4)/8 - (3*a^4*x^5)/32)/(c^4 + 5*a^2*c^4*x^2 - 5*a^4*c^4*x^4 + 4*a^5*c^4*x^5 - a^6*c^4*x^6 - 4*a*c^4*x)","B"
590,1,362,393,1.343244,"\text{Not used}","int((c - a^2*c*x^2)^4*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{35\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64}-\frac{455\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{96}+\frac{581\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{32}-\frac{1289\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{32}+\frac{512\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{9}+\frac{1289\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{32}-\frac{581\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{32}+\frac{455\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{96}-\frac{35\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/2}}{64}}{a-\frac{9\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{36\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{84\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{126\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{126\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{84\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{36\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}+\frac{9\,a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}-\frac{a\,{\left(a\,x-1\right)}^9}{{\left(a\,x+1\right)}^9}}-\frac{35\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{64\,a}","Not used",1,"((35*c^4*((a*x - 1)/(a*x + 1))^(1/2))/64 - (455*c^4*((a*x - 1)/(a*x + 1))^(3/2))/96 + (581*c^4*((a*x - 1)/(a*x + 1))^(5/2))/32 - (1289*c^4*((a*x - 1)/(a*x + 1))^(7/2))/32 + (512*c^4*((a*x - 1)/(a*x + 1))^(9/2))/9 + (1289*c^4*((a*x - 1)/(a*x + 1))^(11/2))/32 - (581*c^4*((a*x - 1)/(a*x + 1))^(13/2))/32 + (455*c^4*((a*x - 1)/(a*x + 1))^(15/2))/96 - (35*c^4*((a*x - 1)/(a*x + 1))^(17/2))/64)/(a - (9*a*(a*x - 1))/(a*x + 1) + (36*a*(a*x - 1)^2)/(a*x + 1)^2 - (84*a*(a*x - 1)^3)/(a*x + 1)^3 + (126*a*(a*x - 1)^4)/(a*x + 1)^4 - (126*a*(a*x - 1)^5)/(a*x + 1)^5 + (84*a*(a*x - 1)^6)/(a*x + 1)^6 - (36*a*(a*x - 1)^7)/(a*x + 1)^7 + (9*a*(a*x - 1)^8)/(a*x + 1)^8 - (a*(a*x - 1)^9)/(a*x + 1)^9) - (35*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(64*a)","B"
591,1,289,313,0.112545,"\text{Not used}","int((c - a^2*c*x^2)^3*((a*x - 1)/(a*x + 1))^(1/2),x)","-\frac{\frac{25\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6}-\frac{5\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}-\frac{283\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{24}+\frac{128\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{7}+\frac{283\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{24}-\frac{25\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{6}+\frac{5\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}}{a-\frac{7\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{21\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{35\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{35\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{21\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{7\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}}-\frac{5\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}","Not used",1,"- ((25*c^3*((a*x - 1)/(a*x + 1))^(3/2))/6 - (5*c^3*((a*x - 1)/(a*x + 1))^(1/2))/8 - (283*c^3*((a*x - 1)/(a*x + 1))^(5/2))/24 + (128*c^3*((a*x - 1)/(a*x + 1))^(7/2))/7 + (283*c^3*((a*x - 1)/(a*x + 1))^(9/2))/24 - (25*c^3*((a*x - 1)/(a*x + 1))^(11/2))/6 + (5*c^3*((a*x - 1)/(a*x + 1))^(13/2))/8)/(a - (7*a*(a*x - 1))/(a*x + 1) + (21*a*(a*x - 1)^2)/(a*x + 1)^2 - (35*a*(a*x - 1)^3)/(a*x + 1)^3 + (35*a*(a*x - 1)^4)/(a*x + 1)^4 - (21*a*(a*x - 1)^5)/(a*x + 1)^5 + (7*a*(a*x - 1)^6)/(a*x + 1)^6 - (a*(a*x - 1)^7)/(a*x + 1)^7) - (5*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a)","B"
592,1,214,233,0.078529,"\text{Not used}","int((c - a^2*c*x^2)^2*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{3\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2}+\frac{32\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{5}+\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{2}-\frac{3\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}-\frac{3\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((3*c^2*((a*x - 1)/(a*x + 1))^(1/2))/4 - (7*c^2*((a*x - 1)/(a*x + 1))^(3/2))/2 + (32*c^2*((a*x - 1)/(a*x + 1))^(5/2))/5 + (7*c^2*((a*x - 1)/(a*x + 1))^(7/2))/2 - (3*c^2*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) - (3*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
593,1,132,145,1.242516,"\text{Not used}","int((c - a^2*c*x^2)*((a*x - 1)/(a*x + 1))^(1/2),x)","-\frac{\frac{8\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-c\,\sqrt{\frac{a\,x-1}{a\,x+1}}+c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}-\frac{c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"- ((8*c*((a*x - 1)/(a*x + 1))^(3/2))/3 - c*((a*x - 1)/(a*x + 1))^(1/2) + c*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3) - (c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
594,1,23,16,0.031344,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2),x)","-\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c}","Not used",1,"-((a*x - 1)/(a*x + 1))^(1/2)/(a*c)","B"
595,1,55,55,0.050695,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^2,x)","-\frac{\frac{6\,\left(a\,x-1\right)}{a\,x+1}-\frac{{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+3}{12\,a\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"-((6*(a*x - 1))/(a*x + 1) - (a*x - 1)^2/(a*x + 1)^2 + 3)/(12*a*c^2*((a*x - 1)/(a*x + 1))^(1/2))","B"
596,1,109,91,1.242398,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^3,x)","\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12\,a\,c^3}-\frac{3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8\,a\,c^3}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{80\,a\,c^3}-\frac{\frac{4\,\left(a\,x-1\right)}{a\,x+1}-\frac{1}{3}}{16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}","Not used",1,"((a*x - 1)/(a*x + 1))^(3/2)/(12*a*c^3) - (3*((a*x - 1)/(a*x + 1))^(1/2))/(8*a*c^3) - ((a*x - 1)/(a*x + 1))^(5/2)/(80*a*c^3) - ((4*(a*x - 1))/(a*x + 1) - 1/3)/(16*a*c^3*((a*x - 1)/(a*x + 1))^(3/2))","B"
597,1,148,127,0.038309,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^4,x)","\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{64\,a\,c^4}-\frac{5\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{16\,a\,c^4}-\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{160\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{448\,a\,c^4}-\frac{\frac{15\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{2\,\left(a\,x-1\right)}{a\,x+1}+\frac{1}{5}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(5*((a*x - 1)/(a*x + 1))^(3/2))/(64*a*c^4) - (5*((a*x - 1)/(a*x + 1))^(1/2))/(16*a*c^4) - (3*((a*x - 1)/(a*x + 1))^(5/2))/(160*a*c^4) + ((a*x - 1)/(a*x + 1))^(7/2)/(448*a*c^4) - ((15*(a*x - 1)^2)/(a*x + 1)^2 - (2*(a*x - 1))/(a*x + 1) + 1/5)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(5/2))","B"
598,1,80,73,0.047397,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x - 1))/(a*x + 1),x)","\frac{a^8\,c^4\,x^9}{9}-\frac{a^7\,c^4\,x^8}{4}-\frac{2\,a^6\,c^4\,x^7}{7}+a^5\,c^4\,x^6-\frac{3\,a^3\,c^4\,x^4}{2}+\frac{2\,a^2\,c^4\,x^3}{3}+a\,c^4\,x^2-c^4\,x","Not used",1,"a*c^4*x^2 - c^4*x + (2*a^2*c^4*x^3)/3 - (3*a^3*c^4*x^4)/2 + a^5*c^4*x^6 - (2*a^6*c^4*x^7)/7 - (a^7*c^4*x^8)/4 + (a^8*c^4*x^9)/9","B"
599,1,70,55,0.039264,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x - 1))/(a*x + 1),x)","-\frac{a^6\,c^3\,x^7}{7}+\frac{a^5\,c^3\,x^6}{3}+\frac{a^4\,c^3\,x^5}{5}-a^3\,c^3\,x^4+\frac{a^2\,c^3\,x^3}{3}+a\,c^3\,x^2-c^3\,x","Not used",1,"a*c^3*x^2 - c^3*x + (a^2*c^3*x^3)/3 - a^3*c^3*x^4 + (a^4*c^3*x^5)/5 + (a^5*c^3*x^6)/3 - (a^6*c^3*x^7)/7","B"
600,1,37,37,0.051410,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x - 1))/(a*x + 1),x)","\frac{a^4\,c^2\,x^5}{5}-\frac{a^3\,c^2\,x^4}{2}+a\,c^2\,x^2-c^2\,x","Not used",1,"a*c^2*x^2 - c^2*x - (a^3*c^2*x^4)/2 + (a^4*c^2*x^5)/5","B"
601,1,17,16,0.035098,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x - 1))/(a*x + 1),x)","-\frac{c\,x\,\left(a^2\,x^2-3\,a\,x+3\right)}{3}","Not used",1,"-(c*x*(a^2*x^2 - 3*a*x + 3))/3","B"
602,1,12,14,0.049954,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)*(a*x + 1)),x)","\frac{1}{a\,\left(c+a\,c\,x\right)}","Not used",1,"1/(a*(c + a*c*x))","B"
603,1,46,49,0.065190,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^2*(a*x + 1)),x)","\frac{\frac{x}{4}+\frac{1}{2\,a}}{a^2\,c^2\,x^2+2\,a\,c^2\,x+c^2}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^2}","Not used",1,"(x/4 + 1/(2*a))/(c^2 + a^2*c^2*x^2 + 2*a*c^2*x) - atanh(a*x)/(4*a*c^2)","B"
604,1,73,84,1.260526,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^3*(a*x + 1)),x)","-\frac{\frac{x}{12}+\frac{a\,x^2}{2}-\frac{1}{3\,a}+\frac{a^2\,x^3}{4}}{-a^4\,c^3\,x^4-2\,a^3\,c^3\,x^3+2\,a\,c^3\,x+c^3}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^3}","Not used",1,"- (x/12 + (a*x^2)/2 - 1/(3*a) + (a^2*x^3)/4)/(c^3 - 2*a^3*c^3*x^3 - a^4*c^3*x^4 + 2*a*c^3*x) - atanh(a*x)/(4*a*c^3)","B"
605,1,121,119,1.284345,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^4*(a*x + 1)),x)","-\frac{\frac{17\,x}{64}+\frac{25\,a\,x^2}{32}-\frac{1}{4\,a}+\frac{5\,a^2\,x^3}{32}-\frac{15\,a^3\,x^4}{32}-\frac{15\,a^4\,x^5}{64}}{a^6\,c^4\,x^6+2\,a^5\,c^4\,x^5-a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3-a^2\,c^4\,x^2+2\,a\,c^4\,x+c^4}-\frac{15\,\mathrm{atanh}\left(a\,x\right)}{64\,a\,c^4}","Not used",1,"- ((17*x)/64 + (25*a*x^2)/32 - 1/(4*a) + (5*a^2*x^3)/32 - (15*a^3*x^4)/32 - (15*a^4*x^5)/64)/(c^4 - a^2*c^4*x^2 - 4*a^3*c^4*x^3 - a^4*c^4*x^4 + 2*a^5*c^4*x^5 + a^6*c^4*x^6 + 2*a*c^4*x) - (15*atanh(a*x))/(64*a*c^4)","B"
606,1,362,393,0.170873,"\text{Not used}","int((c - a^2*c*x^2)^4*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{715\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{96}-\frac{55\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64}-\frac{913\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{32}+\frac{14179\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{224}-\frac{5632\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{63}+\frac{18589\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{224}+\frac{913\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{32}-\frac{715\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{96}+\frac{55\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{17/2}}{64}}{a-\frac{9\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{36\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{84\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{126\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{126\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{84\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{36\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}+\frac{9\,a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}-\frac{a\,{\left(a\,x-1\right)}^9}{{\left(a\,x+1\right)}^9}}+\frac{55\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{64\,a}","Not used",1,"((715*c^4*((a*x - 1)/(a*x + 1))^(3/2))/96 - (55*c^4*((a*x - 1)/(a*x + 1))^(1/2))/64 - (913*c^4*((a*x - 1)/(a*x + 1))^(5/2))/32 + (14179*c^4*((a*x - 1)/(a*x + 1))^(7/2))/224 - (5632*c^4*((a*x - 1)/(a*x + 1))^(9/2))/63 + (18589*c^4*((a*x - 1)/(a*x + 1))^(11/2))/224 + (913*c^4*((a*x - 1)/(a*x + 1))^(13/2))/32 - (715*c^4*((a*x - 1)/(a*x + 1))^(15/2))/96 + (55*c^4*((a*x - 1)/(a*x + 1))^(17/2))/64)/(a - (9*a*(a*x - 1))/(a*x + 1) + (36*a*(a*x - 1)^2)/(a*x + 1)^2 - (84*a*(a*x - 1)^3)/(a*x + 1)^3 + (126*a*(a*x - 1)^4)/(a*x + 1)^4 - (126*a*(a*x - 1)^5)/(a*x + 1)^5 + (84*a*(a*x - 1)^6)/(a*x + 1)^6 - (36*a*(a*x - 1)^7)/(a*x + 1)^7 + (9*a*(a*x - 1)^8)/(a*x + 1)^8 - (a*(a*x - 1)^9)/(a*x + 1)^9) + (55*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(64*a)","B"
607,1,289,313,0.129656,"\text{Not used}","int((c - a^2*c*x^2)^3*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{9\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}-\frac{\frac{9\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}-\frac{15\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2}+\frac{849\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}-\frac{1152\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{35}+\frac{1199\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{40}+\frac{15\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{2}-\frac{9\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}}{a-\frac{7\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{21\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{35\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{35\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{21\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{7\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}}","Not used",1,"(9*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) - ((9*c^3*((a*x - 1)/(a*x + 1))^(1/2))/8 - (15*c^3*((a*x - 1)/(a*x + 1))^(3/2))/2 + (849*c^3*((a*x - 1)/(a*x + 1))^(5/2))/40 - (1152*c^3*((a*x - 1)/(a*x + 1))^(7/2))/35 + (1199*c^3*((a*x - 1)/(a*x + 1))^(9/2))/40 + (15*c^3*((a*x - 1)/(a*x + 1))^(11/2))/2 - (9*c^3*((a*x - 1)/(a*x + 1))^(13/2))/8)/(a - (7*a*(a*x - 1))/(a*x + 1) + (21*a*(a*x - 1)^2)/(a*x + 1)^2 - (35*a*(a*x - 1)^3)/(a*x + 1)^3 + (35*a*(a*x - 1)^4)/(a*x + 1)^4 - (21*a*(a*x - 1)^5)/(a*x + 1)^5 + (7*a*(a*x - 1)^6)/(a*x + 1)^6 - (a*(a*x - 1)^7)/(a*x + 1)^7)","B"
608,1,214,233,1.268559,"\text{Not used}","int((c - a^2*c*x^2)^2*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{49\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6}-\frac{7\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}-\frac{224\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{15}+\frac{79\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{6}+\frac{7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}}{a-\frac{5\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{10\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{10\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}}+\frac{7\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}","Not used",1,"((49*c^2*((a*x - 1)/(a*x + 1))^(3/2))/6 - (7*c^2*((a*x - 1)/(a*x + 1))^(1/2))/4 - (224*c^2*((a*x - 1)/(a*x + 1))^(5/2))/15 + (79*c^2*((a*x - 1)/(a*x + 1))^(7/2))/6 + (7*c^2*((a*x - 1)/(a*x + 1))^(9/2))/4)/(a - (5*a*(a*x - 1))/(a*x + 1) + (10*a*(a*x - 1)^2)/(a*x + 1)^2 - (10*a*(a*x - 1)^3)/(a*x + 1)^3 + (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (a*(a*x - 1)^5)/(a*x + 1)^5) + (7*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a)","B"
609,1,133,145,0.066396,"\text{Not used}","int((c - a^2*c*x^2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{5\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{5\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}-\frac{40\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+11\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{a-\frac{3\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{3\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}}","Not used",1,"(5*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a - (5*c*((a*x - 1)/(a*x + 1))^(1/2) - (40*c*((a*x - 1)/(a*x + 1))^(3/2))/3 + 11*c*((a*x - 1)/(a*x + 1))^(5/2))/(a - (3*a*(a*x - 1))/(a*x + 1) + (3*a*(a*x - 1)^2)/(a*x + 1)^2 - (a*(a*x - 1)^3)/(a*x + 1)^3)","B"
610,1,23,18,1.208555,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2),x)","-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3\,a\,c}","Not used",1,"-((a*x - 1)/(a*x + 1))^(3/2)/(3*a*c)","B"
611,1,60,55,0.049203,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^2,x)","\frac{15\,\sqrt{\frac{a\,x-1}{a\,x+1}}-10\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}+3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{60\,a\,c^2}","Not used",1,"(15*((a*x - 1)/(a*x + 1))^(1/2) - 10*((a*x - 1)/(a*x + 1))^(3/2) + 3*((a*x - 1)/(a*x + 1))^(5/2))/(60*a*c^2)","B"
612,1,116,91,1.206374,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^3,x)","\frac{1}{16\,a\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,a\,c^3}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{8\,a\,c^3}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{20\,a\,c^3}-\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{112\,a\,c^3}","Not used",1,"1/(16*a*c^3*((a*x - 1)/(a*x + 1))^(1/2)) + ((a*x - 1)/(a*x + 1))^(1/2)/(4*a*c^3) - ((a*x - 1)/(a*x + 1))^(3/2)/(8*a*c^3) + ((a*x - 1)/(a*x + 1))^(5/2)/(20*a*c^3) - ((a*x - 1)/(a*x + 1))^(7/2)/(112*a*c^3)","B"
613,1,155,127,0.038589,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^4,x)","\frac{15\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64\,a\,c^4}-\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{48\,a\,c^4}+\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{64\,a\,c^4}-\frac{3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{224\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{576\,a\,c^4}+\frac{\frac{6\,\left(a\,x-1\right)}{a\,x+1}-\frac{1}{3}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}","Not used",1,"(15*((a*x - 1)/(a*x + 1))^(1/2))/(64*a*c^4) - (5*((a*x - 1)/(a*x + 1))^(3/2))/(48*a*c^4) + (3*((a*x - 1)/(a*x + 1))^(5/2))/(64*a*c^4) - (3*((a*x - 1)/(a*x + 1))^(7/2))/(224*a*c^4) + ((a*x - 1)/(a*x + 1))^(9/2)/(576*a*c^4) + ((6*(a*x - 1))/(a*x + 1) - 1/3)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(3/2))","B"
614,0,-1,229,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(9/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{9/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(9/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
615,0,-1,183,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(7/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(7/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
616,0,-1,136,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(5/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(5/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
617,0,-1,93,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(3/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(3/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
618,0,-1,68,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
619,0,-1,38,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
620,0,-1,91,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
621,0,-1,184,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
622,0,-1,277,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
623,0,-1,176,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(9/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{9/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(9/2)*(a*x + 1))/(a*x - 1), x)","F"
624,0,-1,153,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(7/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(7/2)*(a*x + 1))/(a*x - 1), x)","F"
625,0,-1,130,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(5/2)*(a*x + 1))/(a*x - 1), x)","F"
626,0,-1,107,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(3/2)*(a*x + 1))/(a*x - 1), x)","F"
627,0,-1,86,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
628,0,-1,59,0.000000,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(1/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - a^2*c*x^2)^(1/2)*(a*x - 1)), x)","F"
629,1,33,51,1.293756,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(3/2)*(a*x - 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-2\right)}{3\,a\,c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(a*x - 2))/(3*a*c^2*(a*x - 1)^2)","B"
630,1,56,74,1.380994,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(5/2)*(a*x - 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(2\,a^3\,x^3-4\,a^2\,x^2+a\,x+2\right)}{5\,a\,c^3\,{\left(a\,x-1\right)}^3\,\left(a\,x+1\right)}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(a*x - 4*a^2*x^2 + 2*a^3*x^3 + 2))/(5*a*c^3*(a*x - 1)^3*(a*x + 1))","B"
631,1,134,97,1.452768,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(7/2)*(a*x - 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}}{14\,a\,c^4\,{\left(a\,x-1\right)}^3}-\frac{\sqrt{c-a^2\,c\,x^2}}{28\,a\,c^4\,{\left(a\,x-1\right)}^4}-\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{11\,x}{42\,c^4}+\frac{5}{28\,a\,c^4}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}+\frac{8\,x\,\sqrt{c-a^2\,c\,x^2}}{21\,c^4\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(c - a^2*c*x^2)^(1/2)/(14*a*c^4*(a*x - 1)^3) - (c - a^2*c*x^2)^(1/2)/(28*a*c^4*(a*x - 1)^4) - ((c - a^2*c*x^2)^(1/2)*((11*x)/(42*c^4) + 5/(28*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) + (8*x*(c - a^2*c*x^2)^(1/2))/(21*c^4*(a*x - 1)*(a*x + 1))","B"
632,1,177,120,1.511723,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(9/2)*(a*x - 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}}{72\,a\,c^5\,{\left(a\,x-1\right)}^5}-\frac{5\,\sqrt{c-a^2\,c\,x^2}}{144\,a\,c^5\,{\left(a\,x-1\right)}^4}+\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{31\,x}{120\,c^5}+\frac{5}{24\,a\,c^5}\right)}{{\left(a\,x-1\right)}^3\,{\left(a\,x+1\right)}^3}-\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{8\,x}{45\,c^5}-\frac{5}{144\,a\,c^5}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}+\frac{16\,x\,\sqrt{c-a^2\,c\,x^2}}{45\,c^5\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(c - a^2*c*x^2)^(1/2)/(72*a*c^5*(a*x - 1)^5) - (5*(c - a^2*c*x^2)^(1/2))/(144*a*c^5*(a*x - 1)^4) + ((c - a^2*c*x^2)^(1/2)*((31*x)/(120*c^5) + 5/(24*a*c^5)))/((a*x - 1)^3*(a*x + 1)^3) - ((c - a^2*c*x^2)^(1/2)*((8*x)/(45*c^5) - 5/(144*a*c^5)))/((a*x - 1)^2*(a*x + 1)^2) + (16*x*(c - a^2*c*x^2)^(1/2))/(45*c^5*(a*x - 1)*(a*x + 1))","B"
633,0,-1,185,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(9/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{9/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(9/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
634,0,-1,139,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(7/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(7/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
635,0,-1,93,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(5/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(5/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
636,0,-1,46,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(3/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(3/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
637,0,-1,113,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
638,0,-1,79,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
639,1,90,47,1.554907,"\text{Not used}","int(1/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{\left(\frac{1}{2\,a^3\,c}+\frac{x}{2\,a^2\,c}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}+x^2\,\sqrt{c-a^2\,c\,x^2}-\frac{2\,x\,\sqrt{c-a^2\,c\,x^2}}{a}}","Not used",1,"((1/(2*a^3*c) + x/(2*a^2*c))*((a*x - 1)/(a*x + 1))^(1/2))/((c - a^2*c*x^2)^(1/2)/a^2 + x^2*(c - a^2*c*x^2)^(1/2) - (2*x*(c - a^2*c*x^2)^(1/2))/a)","B"
640,0,-1,185,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
641,0,-1,278,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
642,0,-1,234,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(9/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{9/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(9/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
643,0,-1,187,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
644,0,-1,139,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
645,0,-1,95,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
646,0,-1,69,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
647,0,-1,37,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(1/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(1/2), x)","F"
648,0,-1,90,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(3/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(3/2), x)","F"
649,0,-1,183,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(5/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(5/2), x)","F"
650,0,-1,276,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(7/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-a^2\,c\,x^2\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - a^2*c*x^2)^(7/2), x)","F"
651,0,-1,131,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(5/2)*(a*x - 1))/(a*x + 1), x)","F"
652,0,-1,108,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(3/2)*(a*x - 1))/(a*x + 1), x)","F"
653,0,-1,87,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
654,0,-1,60,0.000000,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)), x)","F"
655,1,33,52,1.277754,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^(3/2)*(a*x + 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+2\right)}{3\,a\,c^2\,{\left(a\,x+1\right)}^2}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(a*x + 2))/(3*a*c^2*(a*x + 1)^2)","B"
656,1,56,75,1.400091,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(2\,a^3\,x^3+4\,a^2\,x^2+a\,x-2\right)}{5\,a\,c^3\,\left(a\,x-1\right)\,{\left(a\,x+1\right)}^3}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(a*x + 4*a^2*x^2 + 2*a^3*x^3 - 2))/(5*a*c^3*(a*x - 1)*(a*x + 1)^3)","B"
657,1,134,98,1.452518,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}}{14\,a\,c^4\,{\left(a\,x+1\right)}^3}+\frac{\sqrt{c-a^2\,c\,x^2}}{28\,a\,c^4\,{\left(a\,x+1\right)}^4}-\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{11\,x}{42\,c^4}-\frac{5}{28\,a\,c^4}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}+\frac{8\,x\,\sqrt{c-a^2\,c\,x^2}}{21\,c^4\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(c - a^2*c*x^2)^(1/2)/(14*a*c^4*(a*x + 1)^3) + (c - a^2*c*x^2)^(1/2)/(28*a*c^4*(a*x + 1)^4) - ((c - a^2*c*x^2)^(1/2)*((11*x)/(42*c^4) - 5/(28*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) + (8*x*(c - a^2*c*x^2)^(1/2))/(21*c^4*(a*x - 1)*(a*x + 1))","B"
658,1,177,121,1.493791,"\text{Not used}","int((a*x - 1)/((c - a^2*c*x^2)^(9/2)*(a*x + 1)),x)","\frac{5\,\sqrt{c-a^2\,c\,x^2}}{144\,a\,c^5\,{\left(a\,x+1\right)}^4}+\frac{\sqrt{c-a^2\,c\,x^2}}{72\,a\,c^5\,{\left(a\,x+1\right)}^5}+\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{31\,x}{120\,c^5}-\frac{5}{24\,a\,c^5}\right)}{{\left(a\,x-1\right)}^3\,{\left(a\,x+1\right)}^3}-\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{8\,x}{45\,c^5}+\frac{5}{144\,a\,c^5}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}+\frac{16\,x\,\sqrt{c-a^2\,c\,x^2}}{45\,c^5\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(5*(c - a^2*c*x^2)^(1/2))/(144*a*c^5*(a*x + 1)^4) + (c - a^2*c*x^2)^(1/2)/(72*a*c^5*(a*x + 1)^5) + ((c - a^2*c*x^2)^(1/2)*((31*x)/(120*c^5) - 5/(24*a*c^5)))/((a*x - 1)^3*(a*x + 1)^3) - ((c - a^2*c*x^2)^(1/2)*((8*x)/(45*c^5) + 5/(144*a*c^5)))/((a*x - 1)^2*(a*x + 1)^2) + (16*x*(c - a^2*c*x^2)^(1/2))/(45*c^5*(a*x - 1)*(a*x + 1))","B"
659,0,-1,189,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(9/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{9/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(9/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
660,0,-1,142,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(7/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
661,0,-1,95,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
662,0,-1,47,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
663,0,-1,112,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
664,0,-1,77,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(1/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(1/2), x)","F"
665,1,58,46,1.472435,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(3/2),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a^2\,c\,\left(x\,\sqrt{c-a^2\,c\,x^2}+\frac{\sqrt{c-a^2\,c\,x^2}}{a}\right)}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(2*a^2*c*(x*(c - a^2*c*x^2)^(1/2) + (c - a^2*c*x^2)^(1/2)/a))","B"
666,0,-1,182,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(5/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(5/2), x)","F"
667,0,-1,275,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(7/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-a^2\,c\,x^2\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - a^2*c*x^2)^(7/2), x)","F"
668,0,-1,76,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
669,0,-1,74,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
670,0,-1,68,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
671,0,-1,69,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
672,0,-1,73,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
673,0,-1,137,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
674,0,-1,112,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
675,0,-1,85,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
676,0,-1,86,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
677,0,-1,75,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x*(a*x - 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x*(a*x - 1)), x)","F"
678,0,-1,82,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^2*(a*x - 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x^2\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^2*(a*x - 1)), x)","F"
679,0,-1,78,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^3*(a*x - 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x^3\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^3*(a*x - 1)), x)","F"
680,0,-1,99,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^4*(a*x - 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x^4\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^4*(a*x - 1)), x)","F"
681,0,-1,130,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^5*(a*x - 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x^5\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^5*(a*x - 1)), x)","F"
682,0,-1,228,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
683,0,-1,186,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
684,0,-1,152,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
685,0,-1,113,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
686,0,-1,114,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
687,0,-1,114,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
688,0,-1,153,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
689,0,-1,194,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
690,0,-1,228,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}}{x^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
691,0,-1,211,0.000000,"\text{Not used}","int(x^4/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^4}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^4/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
692,0,-1,172,0.000000,"\text{Not used}","int(x^3/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^3}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^3/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
693,0,-1,130,0.000000,"\text{Not used}","int(x^2/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^2}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^2/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
694,0,-1,87,0.000000,"\text{Not used}","int(x/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
695,0,-1,91,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
696,0,-1,177,0.000000,"\text{Not used}","int(1/(x*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/(x*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
697,0,-1,214,0.000000,"\text{Not used}","int(1/(x^2*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/(x^2*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
698,0,-1,252,0.000000,"\text{Not used}","int(1/(x^3*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/(x^3*(c - a^2*c*x^2)^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
699,0,-1,262,0.000000,"\text{Not used}","int(x^5/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^5}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^5/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
700,0,-1,217,0.000000,"\text{Not used}","int(x^4/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^4}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^4/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
701,0,-1,176,0.000000,"\text{Not used}","int(x^3/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^3}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^3/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
702,0,-1,184,0.000000,"\text{Not used}","int(x^2/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x^2}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x^2/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
703,0,-1,137,0.000000,"\text{Not used}","int(x/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{x}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(x/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
704,0,-1,184,0.000000,"\text{Not used}","int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
705,0,-1,271,0.000000,"\text{Not used}","int(1/(x*(c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{x\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/(x*(c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
706,0,-1,307,0.000000,"\text{Not used}","int(1/(x^2*(c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/(x^2*(c - a^2*c*x^2)^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
707,0,-1,76,0.000000,"\text{Not used}","int(x^2*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^2\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^2*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
708,0,-1,74,0.000000,"\text{Not used}","int(x*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
709,0,-1,69,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
710,0,-1,70,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x, x)","F"
711,0,-1,72,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x^2} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2, x)","F"
712,0,-1,137,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
713,0,-1,112,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
714,0,-1,84,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
715,0,-1,87,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
716,0,-1,75,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x*(a*x + 1)), x)","F"
717,0,-1,82,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^2*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^2*(a*x + 1)), x)","F"
718,0,-1,78,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^3*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{x^3\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^3*(a*x + 1)), x)","F"
719,0,-1,101,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^4*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{x^4\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^4*(a*x + 1)), x)","F"
720,0,-1,130,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^5*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{x^5\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x - 1))/(x^5*(a*x + 1)), x)","F"
721,0,-1,227,0.000000,"\text{Not used}","int(x^3*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^3\,\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^3*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
722,0,-1,186,0.000000,"\text{Not used}","int(x^2*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^2\,\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
723,0,-1,151,0.000000,"\text{Not used}","int(x*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x\,\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
724,0,-1,112,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
725,0,-1,112,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x, x)","F"
726,0,-1,114,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2, x)","F"
727,0,-1,152,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3, x)","F"
728,0,-1,193,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4, x)","F"
729,0,-1,227,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5, x)","F"
730,0,-1,136,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
731,0,-1,172,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
732,1,93,82,1.592771,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(\frac{x^m\,x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(m+1\right)}{m^2+3\,m+2}+\frac{x\,x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(m+2\right)}{a\,\left(m^2+3\,m+2\right)}\right)}{x-\frac{1}{a}}","Not used",1,"(((a*x - 1)/(a*x + 1))^(1/2)*((x^m*x^2*(c - a^2*c*x^2)^(1/2)*(m + 1))/(3*m + m^2 + 2) + (x*x^m*(c - a^2*c*x^2)^(1/2)*(m + 2))/(a*(3*m + m^2 + 2))))/(x - 1/a)","B"
733,1,94,83,1.452184,"\text{Not used}","int(x^m*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}\,\left(\frac{x^m\,x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(m+1\right)}{m^2+3\,m+2}-\frac{x\,x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(m+2\right)}{a\,\left(m^2+3\,m+2\right)}\right)}{x-\frac{1}{a}}","Not used",1,"(((a*x - 1)/(a*x + 1))^(1/2)*((x^m*x^2*(c - a^2*c*x^2)^(1/2)*(m + 1))/(3*m + m^2 + 2) - (x*x^m*(c - a^2*c*x^2)^(1/2)*(m + 2))/(a*(3*m + m^2 + 2))))/(x - 1/a)","B"
734,0,-1,172,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
735,0,-1,137,0.000000,"\text{Not used}","int(x^m*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^m\,\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^m*(c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
736,0,-1,81,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^3,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^3 \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^3, x)","F"
737,0,-1,81,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^2 \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^2, x)","F"
738,0,-1,79,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\left(c-a^2\,c\,x^2\right) \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2), x)","F"
739,0,-1,78,0.000000,"\text{Not used}","int(exp(n*acoth(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)} \,d x","Not used",1,"int(exp(n*acoth(a*x)), x)","F"
740,1,39,18,1.448655,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2),x)","\frac{{\left(\frac{1}{a\,x}+1\right)}^{n/2}}{a\,c\,n\,{\left(1-\frac{1}{a\,x}\right)}^{n/2}}","Not used",1,"(1/(a*x) + 1)^(n/2)/(a*c*n*(1 - 1/(a*x))^(n/2))","B"
741,1,106,72,1.586321,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^2,x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{2\,x^2}{a\,c^2\,n\,\left(n^2-4\right)}-\frac{2\,x}{a^2\,c^2\,\left(n^2-4\right)}+\frac{n^2-2}{a^3\,c^2\,n\,\left(n^2-4\right)}\right)}{\left(\frac{1}{a^2}-x^2\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((2*x^2)/(a*c^2*n*(n^2 - 4)) - (2*x)/(a^2*c^2*(n^2 - 4)) + (n^2 - 2)/(a^3*c^2*n*(n^2 - 4))))/((1/a^2 - x^2)*((a*x - 1)/(a*x))^(n/2))","B"
742,1,192,127,1.728980,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^3,x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{24\,x^4}{a\,c^3\,n\,\left(n^4-20\,n^2+64\right)}-\frac{4\,x\,\left(n^2-10\right)}{a^4\,c^3\,\left(n^4-20\,n^2+64\right)}-\frac{24\,x^3}{a^2\,c^3\,\left(n^4-20\,n^2+64\right)}+\frac{n^4-16\,n^2+24}{a^5\,c^3\,n\,\left(n^4-20\,n^2+64\right)}+\frac{x^2\,\left(12\,n^2-48\right)}{a^3\,c^3\,n\,\left(n^4-20\,n^2+64\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{1}{a^4}+x^4-\frac{2\,x^2}{a^2}\right)}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((24*x^4)/(a*c^3*n*(n^4 - 20*n^2 + 64)) - (4*x*(n^2 - 10))/(a^4*c^3*(n^4 - 20*n^2 + 64)) - (24*x^3)/(a^2*c^3*(n^4 - 20*n^2 + 64)) + (n^4 - 16*n^2 + 24)/(a^5*c^3*n*(n^4 - 20*n^2 + 64)) + (x^2*(12*n^2 - 48))/(a^3*c^3*n*(n^4 - 20*n^2 + 64))))/(((a*x - 1)/(a*x))^(n/2)*(1/a^4 + x^4 - (2*x^2)/a^2))","B"
743,1,314,197,1.759260,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^4,x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{n^6-50\,n^4+544\,n^2-720}{a^7\,c^4\,n\,\left(n^6-56\,n^4+784\,n^2-2304\right)}-\frac{720\,x^5}{a^2\,c^4\,\left(n^6-56\,n^4+784\,n^2-2304\right)}-\frac{x^3\,\left(120\,n^2-1920\right)}{a^4\,c^4\,\left(n^6-56\,n^4+784\,n^2-2304\right)}+\frac{720\,x^6}{a\,c^4\,n\,\left(n^6-56\,n^4+784\,n^2-2304\right)}-\frac{6\,x\,\left(n^4-40\,n^2+264\right)}{a^6\,c^4\,\left(n^6-56\,n^4+784\,n^2-2304\right)}+\frac{x^2\,\left(30\,n^4-840\,n^2+2160\right)}{a^5\,c^4\,n\,\left(n^6-56\,n^4+784\,n^2-2304\right)}+\frac{x^4\,\left(360\,n^2-2160\right)}{a^3\,c^4\,n\,\left(n^6-56\,n^4+784\,n^2-2304\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{1}{a^6}-x^6+\frac{3\,x^4}{a^2}-\frac{3\,x^2}{a^4}\right)}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((544*n^2 - 50*n^4 + n^6 - 720)/(a^7*c^4*n*(784*n^2 - 56*n^4 + n^6 - 2304)) - (720*x^5)/(a^2*c^4*(784*n^2 - 56*n^4 + n^6 - 2304)) - (x^3*(120*n^2 - 1920))/(a^4*c^4*(784*n^2 - 56*n^4 + n^6 - 2304)) + (720*x^6)/(a*c^4*n*(784*n^2 - 56*n^4 + n^6 - 2304)) - (6*x*(n^4 - 40*n^2 + 264))/(a^6*c^4*(784*n^2 - 56*n^4 + n^6 - 2304)) + (x^2*(30*n^4 - 840*n^2 + 2160))/(a^5*c^4*n*(784*n^2 - 56*n^4 + n^6 - 2304)) + (x^4*(360*n^2 - 2160))/(a^3*c^4*n*(784*n^2 - 56*n^4 + n^6 - 2304))))/(((a*x - 1)/(a*x))^(n/2)*(1/a^6 - x^6 + (3*x^4)/a^2 - (3*x^2)/a^4))","B"
744,0,-1,116,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^{3/2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^(3/2), x)","F"
745,0,-1,116,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^(1/2), x)","F"
746,0,-1,111,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(1/2), x)","F"
747,1,78,46,1.492031,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(3/2),x)","-\frac{\left(\frac{x}{c\,\left(n^2-1\right)}-\frac{n}{a\,c\,\left(n^2-1\right)}\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}}{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-((x/(c*(n^2 - 1)) - n/(a*c*(n^2 - 1)))*((a*x + 1)/(a*x))^(n/2))/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x))^(n/2))","B"
748,1,173,102,1.596933,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{6\,x^3}{c^2\,\left(n^4-10\,n^2+9\right)}+\frac{7\,n-n^3}{a^3\,c^2\,\left(n^4-10\,n^2+9\right)}+\frac{3\,x\,\left(n^2-3\right)}{a^2\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{6\,n\,x^2}{a\,c^2\,\left(n^4-10\,n^2+9\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((6*x^3)/(c^2*(n^4 - 10*n^2 + 9)) + (7*n - n^3)/(a^3*c^2*(n^4 - 10*n^2 + 9)) + (3*x*(n^2 - 3))/(a^2*c^2*(n^4 - 10*n^2 + 9)) - (6*n*x^2)/(a*c^2*(n^4 - 10*n^2 + 9))))/(((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))*((a*x - 1)/(a*x))^(n/2))","B"
749,1,289,166,1.737251,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(7/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{120\,x^5}{c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}-\frac{120\,n\,x^4}{a\,c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}+\frac{x^3\,\left(60\,n^2-300\right)}{a^2\,c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}-\frac{n\,\left(n^4-30\,n^2+149\right)}{a^5\,c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}+\frac{5\,x\,\left(n^4-22\,n^2+45\right)}{a^4\,c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}-\frac{20\,n\,x^2\,\left(n^2-13\right)}{a^3\,c^3\,\left(n^6-35\,n^4+259\,n^2-225\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^4}+x^4\,\sqrt{c-a^2\,c\,x^2}-\frac{2\,x^2\,\sqrt{c-a^2\,c\,x^2}}{a^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((120*x^5)/(c^3*(259*n^2 - 35*n^4 + n^6 - 225)) - (120*n*x^4)/(a*c^3*(259*n^2 - 35*n^4 + n^6 - 225)) + (x^3*(60*n^2 - 300))/(a^2*c^3*(259*n^2 - 35*n^4 + n^6 - 225)) - (n*(n^4 - 30*n^2 + 149))/(a^5*c^3*(259*n^2 - 35*n^4 + n^6 - 225)) + (5*x*(n^4 - 22*n^2 + 45))/(a^4*c^3*(259*n^2 - 35*n^4 + n^6 - 225)) - (20*n*x^2*(n^2 - 13))/(a^3*c^3*(259*n^2 - 35*n^4 + n^6 - 225))))/(((c - a^2*c*x^2)^(1/2)/a^4 + x^4*(c - a^2*c*x^2)^(1/2) - (2*x^2*(c - a^2*c*x^2)^(1/2))/a^2)*((a*x - 1)/(a*x))^(n/2))","B"
750,1,441,239,1.984104,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(9/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{5040\,x^7}{c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}+\frac{-n^7+77\,n^5-1519\,n^3+6483\,n}{a^7\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}-\frac{5040\,n\,x^6}{a\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}+\frac{x^5\,\left(2520\,n^2-17640\right)}{a^2\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}+\frac{x^3\,\left(210\,n^4-7140\,n^2+22050\right)}{a^4\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}+\frac{7\,x\,\left(n^6-65\,n^4+919\,n^2-1575\right)}{a^6\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}-\frac{840\,n\,x^4\,\left(n^2-19\right)}{a^3\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}-\frac{42\,n\,x^2\,\left(n^4-50\,n^2+409\right)}{a^5\,c^4\,\left(n^8-84\,n^6+1974\,n^4-12916\,n^2+11025\right)}\right)}{{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}\,\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^6}-x^6\,\sqrt{c-a^2\,c\,x^2}+\frac{3\,x^4\,\sqrt{c-a^2\,c\,x^2}}{a^2}-\frac{3\,x^2\,\sqrt{c-a^2\,c\,x^2}}{a^4}\right)}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((5040*x^7)/(c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) + (6483*n - 1519*n^3 + 77*n^5 - n^7)/(a^7*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) - (5040*n*x^6)/(a*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) + (x^5*(2520*n^2 - 17640))/(a^2*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) + (x^3*(210*n^4 - 7140*n^2 + 22050))/(a^4*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) + (7*x*(919*n^2 - 65*n^4 + n^6 - 1575))/(a^6*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) - (840*n*x^4*(n^2 - 19))/(a^3*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025)) - (42*n*x^2*(n^4 - 50*n^2 + 409))/(a^5*c^4*(1974*n^4 - 12916*n^2 - 84*n^6 + n^8 + 11025))))/(((a*x - 1)/(a*x))^(n/2)*((c - a^2*c*x^2)^(1/2)/a^6 - x^6*(c - a^2*c*x^2)^(1/2) + (3*x^4*(c - a^2*c*x^2)^(1/2))/a^2 - (3*x^2*(c - a^2*c*x^2)^(1/2))/a^4))","B"
751,0,-1,359,0.000000,"\text{Not used}","int((x^3*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(3/2), x)","F"
752,0,-1,164,0.000000,"\text{Not used}","int((x^2*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(3/2), x)","F"
753,1,81,46,1.434808,"\text{Not used}","int((x*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(3/2),x)","-\frac{\left(\frac{1}{a^2\,c\,\left(n^2-1\right)}-\frac{n\,x}{a\,c\,\left(n^2-1\right)}\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}}{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-((1/(a^2*c*(n^2 - 1)) - (n*x)/(a*c*(n^2 - 1)))*((a*x + 1)/(a*x))^(n/2))/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x))^(n/2))","B"
754,1,78,46,0.002145,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(3/2),x)","-\frac{\left(\frac{x}{c\,\left(n^2-1\right)}-\frac{n}{a\,c\,\left(n^2-1\right)}\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}}{\sqrt{c-a^2\,c\,x^2}\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-((x/(c*(n^2 - 1)) - n/(a*c*(n^2 - 1)))*((a*x + 1)/(a*x))^(n/2))/((c - a^2*c*x^2)^(1/2)*((a*x - 1)/(a*x))^(n/2))","B"
755,0,-1,277,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(x*(c - a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(x*(c - a^2*c*x^2)^(3/2)), x)","F"
756,0,-1,463,0.000000,"\text{Not used}","int((x^4*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int((x^4*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(5/2), x)","F"
757,1,175,330,1.556454,"\text{Not used}","int((x^3*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{6}{a^6\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{6\,n\,x}{a^5\,c^2\,\left(n^4-10\,n^2+9\right)}+\frac{x^2\,\left(3\,n^2-9\right)}{a^4\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{n\,x^3\,\left(n^2-7\right)}{a^3\,c^2\,\left(n^4-10\,n^2+9\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*(6/(a^6*c^2*(n^4 - 10*n^2 + 9)) - (6*n*x)/(a^5*c^2*(n^4 - 10*n^2 + 9)) + (x^2*(3*n^2 - 9))/(a^4*c^2*(n^4 - 10*n^2 + 9)) - (n*x^3*(n^2 - 7))/(a^3*c^2*(n^4 - 10*n^2 + 9))))/(((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))*((a*x - 1)/(a*x))^(n/2))","B"
758,1,175,102,1.556018,"\text{Not used}","int((x^2*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(5/2),x)","\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{2\,n}{a^5\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{x^3\,\left(n^2-3\right)}{a^2\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{2\,n^2\,x}{a^4\,c^2\,\left(n^4-10\,n^2+9\right)}+\frac{n\,x^2\,\left(n^2-3\right)}{a^3\,c^2\,\left(n^4-10\,n^2+9\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"(((a*x + 1)/(a*x))^(n/2)*((2*n)/(a^5*c^2*(n^4 - 10*n^2 + 9)) - (x^3*(n^2 - 3))/(a^2*c^2*(n^4 - 10*n^2 + 9)) - (2*n^2*x)/(a^4*c^2*(n^4 - 10*n^2 + 9)) + (n*x^2*(n^2 - 3))/(a^3*c^2*(n^4 - 10*n^2 + 9))))/(((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))*((a*x - 1)/(a*x))^(n/2))","B"
759,1,176,97,1.551221,"\text{Not used}","int((x*exp(n*acoth(a*x)))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{n^2-3}{a^4\,c^2\,\left(n^4-10\,n^2+9\right)}+\frac{2\,n^2\,x^2}{a^2\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{2\,n\,x^3}{a\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{n\,x\,\left(n^2-3\right)}{a^3\,c^2\,\left(n^4-10\,n^2+9\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((n^2 - 3)/(a^4*c^2*(n^4 - 10*n^2 + 9)) + (2*n^2*x^2)/(a^2*c^2*(n^4 - 10*n^2 + 9)) - (2*n*x^3)/(a*c^2*(n^4 - 10*n^2 + 9)) - (n*x*(n^2 - 3))/(a^3*c^2*(n^4 - 10*n^2 + 9))))/(((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))*((a*x - 1)/(a*x))^(n/2))","B"
760,1,173,102,0.002121,"\text{Not used}","int(exp(n*acoth(a*x))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\left(\frac{a\,x+1}{a\,x}\right)}^{n/2}\,\left(\frac{6\,x^3}{c^2\,\left(n^4-10\,n^2+9\right)}+\frac{7\,n-n^3}{a^3\,c^2\,\left(n^4-10\,n^2+9\right)}+\frac{3\,x\,\left(n^2-3\right)}{a^2\,c^2\,\left(n^4-10\,n^2+9\right)}-\frac{6\,n\,x^2}{a\,c^2\,\left(n^4-10\,n^2+9\right)}\right)}{\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^{n/2}}","Not used",1,"-(((a*x + 1)/(a*x))^(n/2)*((6*x^3)/(c^2*(n^4 - 10*n^2 + 9)) + (7*n - n^3)/(a^3*c^2*(n^4 - 10*n^2 + 9)) + (3*x*(n^2 - 3))/(a^2*c^2*(n^4 - 10*n^2 + 9)) - (6*n*x^2)/(a*c^2*(n^4 - 10*n^2 + 9))))/(((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))*((a*x - 1)/(a*x))^(n/2))","B"
761,0,-1,944,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(x*(c - a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{x\,{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(x*(c - a^2*c*x^2)^(5/2)), x)","F"
762,0,-1,127,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^p \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - a^2*c*x^2)^p, x)","F"
763,1,59,51,1.336348,"\text{Not used}","int(exp(2*p*acoth(a*x))*(c - a^2*c*x^2)^p,x)","\frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^p}{a\,\left(2\,p+1\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^p}","Not used",1,"((c - a^2*c*x^2)^p*(a*x + 1)*((a*x + 1)/(a*x))^p)/(a*(2*p + 1)*((a*x - 1)/(a*x))^p)","B"
764,1,59,52,1.300133,"\text{Not used}","int(exp(-2*p*acoth(a*x))*(c - a^2*c*x^2)^p,x)","\frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x-1\right)\,{\left(\frac{a\,x-1}{a\,x}\right)}^p}{a\,\left(2\,p+1\right)\,{\left(\frac{a\,x+1}{a\,x}\right)}^p}","Not used",1,"((c - a^2*c*x^2)^p*(a*x - 1)*((a*x - 1)/(a*x))^p)/(a*(2*p + 1)*((a*x + 1)/(a*x))^p)","B"
765,0,-1,63,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^2)/(a*x - 1)^2,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^2}{{\left(a\,x-1\right)}^2} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^2)/(a*x - 1)^2, x)","F"
766,0,-1,118,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^p/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - a^2*c*x^2)^p/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
767,0,-1,54,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1))/(a*x - 1), x)","F"
768,0,-1,118,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^p/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^p/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
769,0,-1,118,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^p*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - a^2*c*x^2)^p*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
770,0,-1,55,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x - 1))/(a*x + 1), x)","F"
771,0,-1,118,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^p*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^p\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - a^2*c*x^2)^p*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
772,1,332,342,1.419371,"\text{Not used}","int((c - c/(a^2*x^2))^4/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{19\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}+\frac{97\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{8}+\frac{839\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}+\frac{1523\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{280}+\frac{71801\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{840}+\frac{3431\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{40}+\frac{899\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{24}+\frac{51\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{8}}{a+\frac{6\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{14\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{14\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{14\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{14\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{6\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}-\frac{a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}}-\frac{35\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}+\frac{2\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((19*c^4*((a*x - 1)/(a*x + 1))^(1/2))/8 + (97*c^4*((a*x - 1)/(a*x + 1))^(3/2))/8 + (839*c^4*((a*x - 1)/(a*x + 1))^(5/2))/40 + (1523*c^4*((a*x - 1)/(a*x + 1))^(7/2))/280 + (71801*c^4*((a*x - 1)/(a*x + 1))^(9/2))/840 + (3431*c^4*((a*x - 1)/(a*x + 1))^(11/2))/40 + (899*c^4*((a*x - 1)/(a*x + 1))^(13/2))/24 + (51*c^4*((a*x - 1)/(a*x + 1))^(15/2))/8)/(a + (6*a*(a*x - 1))/(a*x + 1) + (14*a*(a*x - 1)^2)/(a*x + 1)^2 + (14*a*(a*x - 1)^3)/(a*x + 1)^3 - (14*a*(a*x - 1)^5)/(a*x + 1)^5 - (14*a*(a*x - 1)^6)/(a*x + 1)^6 - (6*a*(a*x - 1)^7)/(a*x + 1)^7 - (a*(a*x - 1)^8)/(a*x + 1)^8) - (35*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) + (2*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
773,1,258,268,1.319295,"\text{Not used}","int((c - c/(a^2*x^2))^3/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{7\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{61\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{43\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{30}+\frac{827\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{30}+\frac{269\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{12}+\frac{23\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{4}}{a+\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{5\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}}-\frac{15\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}+\frac{2\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((7*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 + (61*c^3*((a*x - 1)/(a*x + 1))^(3/2))/12 + (43*c^3*((a*x - 1)/(a*x + 1))^(5/2))/30 + (827*c^3*((a*x - 1)/(a*x + 1))^(7/2))/30 + (269*c^3*((a*x - 1)/(a*x + 1))^(9/2))/12 + (23*c^3*((a*x - 1)/(a*x + 1))^(11/2))/4)/(a + (4*a*(a*x - 1))/(a*x + 1) + (5*a*(a*x - 1)^2)/(a*x + 1)^2 - (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (4*a*(a*x - 1)^5)/(a*x + 1)^5 - (a*(a*x - 1)^6)/(a*x + 1)^6) - (15*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a) + (2*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
774,1,183,194,1.334046,"\text{Not used}","int((c - c/(a^2*x^2))^2/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+\frac{29\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}+5\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{3\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{2\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(c^2*((a*x - 1)/(a*x + 1))^(1/2) + (c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 + (29*c^2*((a*x - 1)/(a*x + 1))^(5/2))/3 + 5*c^2*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) - (3*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (2*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
775,1,84,107,0.073746,"\text{Not used}","int((c - c/(a^2*x^2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{2\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{4\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}","Not used",1,"(2*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a - (2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (4*c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2)","B"
776,1,62,104,0.077665,"\text{Not used}","int(1/((c - c/(a^2*x^2))*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{2\,a\,x+4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}-4}{2\,a\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}","Not used",1,"(2*a*x + 4*atanh(((a*x - 1)/(a*x + 1))^(1/2))*((a*x - 1)/(a*x + 1))^(1/2) - 4)/(2*a*c*((a*x - 1)/(a*x + 1))^(1/2))","B"
777,1,128,180,0.067784,"\text{Not used}","int(1/((c - c/(a^2*x^2))^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,a\,c^2}-\frac{\frac{17\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{14\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}+\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^2}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(4*a*c^2) - ((17*(a*x - 1))/(3*(a*x + 1)) - (14*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(4*a*c^2*((a*x - 1)/(a*x + 1))^(3/2) - 4*a*c^2*((a*x - 1)/(a*x + 1))^(5/2)) + (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^2)","B"
778,1,171,254,0.096561,"\text{Not used}","int(1/((c - c/(a^2*x^2))^3*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a\,c^3}-\frac{\frac{82\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{62\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{37\,\left(a\,x-1\right)}{15\,\left(a\,x+1\right)}+\frac{1}{5}}{16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{48\,a\,c^3}-\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,c^3}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(2*a*c^3) - ((82*(a*x - 1)^2)/(3*(a*x + 1)^2) - (62*(a*x - 1)^3)/(a*x + 1)^3 + (37*(a*x - 1))/(15*(a*x + 1)) + 1/5)/(16*a*c^3*((a*x - 1)/(a*x + 1))^(5/2) - 16*a*c^3*((a*x - 1)/(a*x + 1))^(7/2)) + ((a*x - 1)/(a*x + 1))^(3/2)/(48*a*c^3) - (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*2i)/(a*c^3)","B"
779,1,210,328,0.068759,"\text{Not used}","int(1/((c - c/(a^2*x^2))^4*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{47\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64\,a\,c^4}-\frac{\frac{41\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}+\frac{373\,{\left(a\,x-1\right)}^3}{3\,{\left(a\,x+1\right)}^3}-\frac{268\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}+\frac{13\,\left(a\,x-1\right)}{7\,\left(a\,x+1\right)}+\frac{1}{7}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}-64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}+\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{96\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{320\,a\,c^4}-\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,c^4}","Not used",1,"(47*((a*x - 1)/(a*x + 1))^(1/2))/(64*a*c^4) - ((41*(a*x - 1)^2)/(3*(a*x + 1)^2) + (373*(a*x - 1)^3)/(3*(a*x + 1)^3) - (268*(a*x - 1)^4)/(a*x + 1)^4 + (13*(a*x - 1))/(7*(a*x + 1)) + 1/7)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(7/2) - 64*a*c^4*((a*x - 1)/(a*x + 1))^(9/2)) + (5*((a*x - 1)/(a*x + 1))^(3/2))/(96*a*c^4) + ((a*x - 1)/(a*x + 1))^(5/2)/(320*a*c^4) - (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*2i)/(a*c^4)","B"
780,1,89,127,0.103019,"\text{Not used}","int(((c - c/(a^2*x^2))^5*(a*x + 1))/(a*x - 1),x)","\frac{c^5\,\left(\frac{3\,a^2\,x^2}{7}-\frac{a\,x}{4}+\frac{4\,a^3\,x^3}{3}-\frac{2\,a^4\,x^4}{5}-3\,a^5\,x^5-\frac{2\,a^6\,x^6}{3}+4\,a^7\,x^7+3\,a^8\,x^8+a^{10}\,x^{10}+2\,a^9\,x^9\,\ln\left(x\right)-\frac{1}{9}\right)}{a^{10}\,x^9}","Not used",1,"(c^5*((3*a^2*x^2)/7 - (a*x)/4 + (4*a^3*x^3)/3 - (2*a^4*x^4)/5 - 3*a^5*x^5 - (2*a^6*x^6)/3 + 4*a^7*x^7 + 3*a^8*x^8 + a^10*x^10 + 2*a^9*x^9*log(x) - 1/9))/(a^10*x^9)","B"
781,1,65,90,1.243649,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x + 1))/(a*x - 1),x)","\frac{c^4\,\left(\frac{a\,x}{3}-\frac{2\,a^2\,x^2}{5}-\frac{3\,a^3\,x^3}{2}+3\,a^5\,x^5+2\,a^6\,x^6+a^8\,x^8+2\,a^7\,x^7\,\ln\left(x\right)+\frac{1}{7}\right)}{a^8\,x^7}","Not used",1,"(c^4*((a*x)/3 - (2*a^2*x^2)/5 - (3*a^3*x^3)/2 + 3*a^5*x^5 + 2*a^6*x^6 + a^8*x^8 + 2*a^7*x^7*log(x) + 1/7))/(a^8*x^7)","B"
782,1,56,76,1.217722,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x + 1))/(a*x - 1),x)","\frac{c^3\,\left(\frac{a^2\,x^2}{3}-\frac{a\,x}{2}+2\,a^3\,x^3+a^4\,x^4+a^6\,x^6+2\,a^5\,x^5\,\ln\left(x\right)-\frac{1}{5}\right)}{a^6\,x^5}","Not used",1,"(c^3*((a^2*x^2)/3 - (a*x)/2 + 2*a^3*x^3 + a^4*x^4 + a^6*x^6 + 2*a^5*x^5*log(x) - 1/5))/(a^6*x^5)","B"
783,1,32,39,0.050637,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x + 1))/(a*x - 1),x)","\frac{c^2\,\left(a\,x+a^4\,x^4+2\,a^3\,x^3\,\ln\left(x\right)+\frac{1}{3}\right)}{a^4\,x^3}","Not used",1,"(c^2*(a*x + a^4*x^4 + 2*a^3*x^3*log(x) + 1/3))/(a^4*x^3)","B"
784,1,23,21,0.040692,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x + 1))/(a*x - 1),x)","\frac{c\,\left(a^2\,x^2+2\,a\,x\,\ln\left(x\right)-1\right)}{a^2\,x}","Not used",1,"(c*(a^2*x^2 + 2*a*x*log(x) - 1))/(a^2*x)","B"
785,1,33,36,0.049185,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))*(a*x - 1)),x)","\frac{x}{c}+\frac{1}{a\,\left(c-a\,c\,x\right)}+\frac{2\,\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"x/c + 1/(a*(c - a*c*x)) + (2*log(a*x - 1))/(a*c)","B"
786,1,68,75,0.093589,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^2*(a*x - 1)),x)","\frac{x}{c^2}-\frac{\frac{7\,x}{4}-\frac{3}{2\,a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}+\frac{17\,\ln\left(a\,x-1\right)}{8\,a\,c^2}-\frac{\ln\left(a\,x+1\right)}{8\,a\,c^2}","Not used",1,"x/c^2 - ((7*x)/4 - 3/(2*a))/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) + (17*log(a*x - 1))/(8*a*c^2) - log(a*x + 1)/(8*a*c^2)","B"
787,1,94,110,1.280858,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^3*(a*x - 1)),x)","\frac{x}{c^3}-\frac{\frac{13\,x}{6}+2\,a\,x^2-\frac{11}{6\,a}-\frac{5\,a^2\,x^3}{2}}{-a^4\,c^3\,x^4+2\,a^3\,c^3\,x^3-2\,a\,c^3\,x+c^3}+\frac{9\,\ln\left(a\,x-1\right)}{4\,a\,c^3}-\frac{\ln\left(a\,x+1\right)}{4\,a\,c^3}","Not used",1,"x/c^3 - ((13*x)/6 + 2*a*x^2 - 11/(6*a) - (5*a^2*x^3)/2)/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x) + (9*log(a*x - 1))/(4*a*c^3) - log(a*x + 1)/(4*a*c^3)","B"
788,1,142,145,1.445061,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^4*(a*x - 1)),x)","\frac{x}{c^4}+\frac{\frac{467\,x}{192}+\frac{437\,a\,x^2}{96}-\frac{25}{12\,a}-\frac{529\,a^2\,x^3}{96}-\frac{81\,a^3\,x^4}{32}+\frac{209\,a^4\,x^5}{64}}{-a^6\,c^4\,x^6+2\,a^5\,c^4\,x^5+a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3+a^2\,c^4\,x^2+2\,a\,c^4\,x-c^4}+\frac{303\,\ln\left(a\,x-1\right)}{128\,a\,c^4}-\frac{47\,\ln\left(a\,x+1\right)}{128\,a\,c^4}","Not used",1,"x/c^4 + ((467*x)/192 + (437*a*x^2)/96 - 25/(12*a) - (529*a^2*x^3)/96 - (81*a^3*x^4)/32 + (209*a^4*x^5)/64)/(a^2*c^4*x^2 - c^4 - 4*a^3*c^4*x^3 + a^4*c^4*x^4 + 2*a^5*c^4*x^5 - a^6*c^4*x^6 + 2*a*c^4*x) + (303*log(a*x - 1))/(128*a*c^4) - (47*log(a*x + 1))/(128*a*c^4)","B"
789,1,332,343,1.378312,"\text{Not used}","int((c - c/(a^2*x^2))^4/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{12799\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{280}-\frac{219\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{8}-\frac{2973\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}-\frac{33\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}+\frac{39071\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{280}+\frac{4803\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{40}+\frac{389\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}+\frac{63\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{8}}{a+\frac{6\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{14\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{14\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{14\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{14\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{6\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}-\frac{a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}}-\frac{15\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}+\frac{6\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((12799*c^4*((a*x - 1)/(a*x + 1))^(7/2))/280 - (219*c^4*((a*x - 1)/(a*x + 1))^(3/2))/8 - (2973*c^4*((a*x - 1)/(a*x + 1))^(5/2))/40 - (33*c^4*((a*x - 1)/(a*x + 1))^(1/2))/8 + (39071*c^4*((a*x - 1)/(a*x + 1))^(9/2))/280 + (4803*c^4*((a*x - 1)/(a*x + 1))^(11/2))/40 + (389*c^4*((a*x - 1)/(a*x + 1))^(13/2))/8 + (63*c^4*((a*x - 1)/(a*x + 1))^(15/2))/8)/(a + (6*a*(a*x - 1))/(a*x + 1) + (14*a*(a*x - 1)^2)/(a*x + 1)^2 + (14*a*(a*x - 1)^3)/(a*x + 1)^3 - (14*a*(a*x - 1)^5)/(a*x + 1)^5 - (14*a*(a*x - 1)^6)/(a*x + 1)^6 - (6*a*(a*x - 1)^7)/(a*x + 1)^7 - (a*(a*x - 1)^8)/(a*x + 1)^8) - (15*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) + (6*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
790,1,258,269,1.412305,"\text{Not used}","int((c - c/(a^2*x^2))^3/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{149\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{10}-\frac{93\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}-\frac{21\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{421\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{10}+\frac{115\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}+\frac{27\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{4}}{a+\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{5\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}}-\frac{3\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}+\frac{6\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((149*c^3*((a*x - 1)/(a*x + 1))^(5/2))/10 - (93*c^3*((a*x - 1)/(a*x + 1))^(3/2))/4 - (21*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 + (421*c^3*((a*x - 1)/(a*x + 1))^(7/2))/10 + (115*c^3*((a*x - 1)/(a*x + 1))^(9/2))/4 + (27*c^3*((a*x - 1)/(a*x + 1))^(11/2))/4)/(a + (4*a*(a*x - 1))/(a*x + 1) + (5*a*(a*x - 1)^2)/(a*x + 1)^2 - (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (4*a*(a*x - 1)^5)/(a*x + 1)^5 - (a*(a*x - 1)^6)/(a*x + 1)^6) - (3*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a) + (6*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
791,1,183,195,0.136527,"\text{Not used}","int((c - c/(a^2*x^2))^2/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{17\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}-7\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{37\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}+5\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}+\frac{c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{6\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((17*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 - 7*c^2*((a*x - 1)/(a*x + 1))^(1/2) + (37*c^2*((a*x - 1)/(a*x + 1))^(5/2))/3 + 5*c^2*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) + (c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (6*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
792,1,84,76,0.088063,"\text{Not used}","int((c - c/(a^2*x^2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{6\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{6\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{4\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}","Not used",1,"(6*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a + (6*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a + (4*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2)","B"
793,1,100,144,1.345358,"\text{Not used}","int(1/((c - c/(a^2*x^2))*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}-\frac{\frac{11\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{6\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-a\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}","Not used",1,"(6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c) - ((11*(a*x - 1))/(3*(a*x + 1)) - (6*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(a*c*((a*x - 1)/(a*x + 1))^(3/2) - a*c*((a*x - 1)/(a*x + 1))^(5/2))","B"
794,1,121,181,0.090717,"\text{Not used}","int(1/((c - c/(a^2*x^2))^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^2}-\frac{\frac{15\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{25\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{9\,\left(a\,x-1\right)}{5\,\left(a\,x+1\right)}+\frac{1}{5}}{4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}","Not used",1,"(6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^2) - ((15*(a*x - 1)^2)/(a*x + 1)^2 - (25*(a*x - 1)^3)/(a*x + 1)^3 + (9*(a*x - 1))/(5*(a*x + 1)) + 1/5)/(4*a*c^2*((a*x - 1)/(a*x + 1))^(5/2) - 4*a*c^2*((a*x - 1)/(a*x + 1))^(7/2))","B"
795,1,160,255,1.405571,"\text{Not used}","int(1/((c - c/(a^2*x^2))^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{16\,a\,c^3}-\frac{\frac{42\,{\left(a\,x-1\right)}^2}{5\,{\left(a\,x+1\right)}^2}+\frac{62\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{104\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}+\frac{51\,\left(a\,x-1\right)}{35\,\left(a\,x+1\right)}+\frac{1}{7}}{16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}-16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}+\frac{6\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c^3}","Not used",1,"((a*x - 1)/(a*x + 1))^(1/2)/(16*a*c^3) - ((42*(a*x - 1)^2)/(5*(a*x + 1)^2) + (62*(a*x - 1)^3)/(a*x + 1)^3 - (104*(a*x - 1)^4)/(a*x + 1)^4 + (51*(a*x - 1))/(35*(a*x + 1)) + 1/7)/(16*a*c^3*((a*x - 1)/(a*x + 1))^(7/2) - 16*a*c^3*((a*x - 1)/(a*x + 1))^(9/2)) + (6*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c^3)","B"
796,1,203,329,0.110373,"\text{Not used}","int(1/((c - c/(a^2*x^2))^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\frac{5\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{32\,a\,c^4}-\frac{\frac{279\,{\left(a\,x-1\right)}^2}{35\,{\left(a\,x+1\right)}^2}+\frac{559\,{\left(a\,x-1\right)}^3}{15\,{\left(a\,x+1\right)}^3}+\frac{769\,{\left(a\,x-1\right)}^4}{3\,{\left(a\,x+1\right)}^4}-\frac{431\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}+\frac{83\,\left(a\,x-1\right)}{63\,\left(a\,x+1\right)}+\frac{1}{9}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}-64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{192\,a\,c^4}-\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,6{}\mathrm{i}}{a\,c^4}","Not used",1,"(5*((a*x - 1)/(a*x + 1))^(1/2))/(32*a*c^4) - ((279*(a*x - 1)^2)/(35*(a*x + 1)^2) + (559*(a*x - 1)^3)/(15*(a*x + 1)^3) + (769*(a*x - 1)^4)/(3*(a*x + 1)^4) - (431*(a*x - 1)^5)/(a*x + 1)^5 + (83*(a*x - 1))/(63*(a*x + 1)) + 1/9)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(9/2) - 64*a*c^4*((a*x - 1)/(a*x + 1))^(11/2)) + ((a*x - 1)/(a*x + 1))^(3/2)/(192*a*c^4) - (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*6i)/(a*c^4)","B"
797,1,81,116,0.086484,"\text{Not used}","int(((c - c/(a^2*x^2))^5*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^5\,\left(\frac{a\,x}{2}+\frac{3\,a^2\,x^2}{7}-\frac{4\,a^3\,x^3}{3}-\frac{14\,a^4\,x^4}{5}+\frac{14\,a^6\,x^6}{3}+4\,a^7\,x^7-3\,a^8\,x^8+a^{10}\,x^{10}+4\,a^9\,x^9\,\ln\left(x\right)+\frac{1}{9}\right)}{a^{10}\,x^9}","Not used",1,"(c^5*((a*x)/2 + (3*a^2*x^2)/7 - (4*a^3*x^3)/3 - (14*a^4*x^4)/5 + (14*a^6*x^6)/3 + 4*a^7*x^7 - 3*a^8*x^8 + a^10*x^10 + 4*a^9*x^9*log(x) + 1/9))/(a^10*x^9)","B"
798,1,72,100,1.290124,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^4\,\left(a^3\,x^3-\frac{4\,a^2\,x^2}{5}-\frac{2\,a\,x}{3}+\frac{10\,a^4\,x^4}{3}+2\,a^5\,x^5-4\,a^6\,x^6+a^8\,x^8+4\,a^7\,x^7\,\ln\left(x\right)-\frac{1}{7}\right)}{a^8\,x^7}","Not used",1,"(c^4*(a^3*x^3 - (4*a^2*x^2)/5 - (2*a*x)/3 + (10*a^4*x^4)/3 + 2*a^5*x^5 - 4*a^6*x^6 + a^8*x^8 + 4*a^7*x^7*log(x) - 1/7))/(a^8*x^7)","B"
799,1,48,63,0.058296,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x + 1)^2)/(a*x - 1)^2,x)","\frac{c^3\,\left(a\,x+\frac{5\,a^2\,x^2}{3}-5\,a^4\,x^4+a^6\,x^6+4\,a^5\,x^5\,\ln\left(x\right)+\frac{1}{5}\right)}{a^6\,x^5}","Not used",1,"(c^3*(a*x + (5*a^2*x^2)/3 - 5*a^4*x^4 + a^6*x^6 + 4*a^5*x^5*log(x) + 1/5))/(a^6*x^5)","B"
800,1,43,51,0.060130,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x + 1)^2)/(a*x - 1)^2,x)","-\frac{c^2\,\left(6\,a\,x+18\,a^2\,x^2-3\,a^4\,x^4-12\,a^3\,x^3\,\ln\left(x\right)+1\right)}{3\,a^4\,x^3}","Not used",1,"-(c^2*(6*a*x + 18*a^2*x^2 - 3*a^4*x^4 - 12*a^3*x^3*log(x) + 1))/(3*a^4*x^3)","B"
801,1,32,33,0.067454,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x + 1)^2)/(a*x - 1)^2,x)","c\,x+\frac{c}{a^2\,x}-\frac{4\,c\,\ln\left(x\right)}{a}+\frac{8\,c\,\ln\left(a\,x-1\right)}{a}","Not used",1,"c*x + c/(a^2*x) - (4*c*log(x))/a + (8*c*log(a*x - 1))/a","B"
802,1,48,53,1.255621,"\text{Not used}","int((a*x + 1)^2/((c - c/(a^2*x^2))*(a*x - 1)^2),x)","\frac{x}{c}-\frac{5\,x-\frac{4}{a}}{c\,a^2\,x^2-2\,c\,a\,x+c}+\frac{4\,\ln\left(a\,x-1\right)}{a\,c}","Not used",1,"x/c - (5*x - 4/a)/(c + a^2*c*x^2 - 2*a*c*x) + (4*log(a*x - 1))/(a*c)","B"
803,1,71,71,1.266925,"\text{Not used}","int((a*x + 1)^2/((c - c/(a^2*x^2))^2*(a*x - 1)^2),x)","\frac{6\,a\,x^2-10\,x+\frac{13}{3\,a}}{-a^3\,c^2\,x^3+3\,a^2\,c^2\,x^2-3\,a\,c^2\,x+c^2}+\frac{x}{c^2}+\frac{4\,\ln\left(a\,x-1\right)}{a\,c^2}","Not used",1,"(6*a*x^2 - 10*x + 13/(3*a))/(c^2 + 3*a^2*c^2*x^2 - a^3*c^2*x^3 - 3*a*c^2*x) + x/c^2 + (4*log(a*x - 1))/(a*c^2)","B"
804,1,104,111,0.109560,"\text{Not used}","int((a*x + 1)^2/((c - c/(a^2*x^2))^3*(a*x - 1)^2),x)","\frac{x}{c^3}-\frac{\frac{749\,x}{48}-\frac{71\,a\,x^2}{4}-\frac{14}{3\,a}+\frac{111\,a^2\,x^3}{16}}{a^4\,c^3\,x^4-4\,a^3\,c^3\,x^3+6\,a^2\,c^3\,x^2-4\,a\,c^3\,x+c^3}+\frac{129\,\ln\left(a\,x-1\right)}{32\,a\,c^3}-\frac{\ln\left(a\,x+1\right)}{32\,a\,c^3}","Not used",1,"x/c^3 - ((749*x)/48 - (71*a*x^2)/4 - 14/(3*a) + (111*a^2*x^3)/16)/(c^3 + 6*a^2*c^3*x^2 - 4*a^3*c^3*x^3 + a^4*c^3*x^4 - 4*a*c^3*x) + (129*log(a*x - 1))/(32*a*c^3) - log(a*x + 1)/(32*a*c^3)","B"
805,1,131,146,0.147608,"\text{Not used}","int((a*x + 1)^2/((c - c/(a^2*x^2))^4*(a*x - 1)^2),x)","\frac{\frac{341\,a\,x^2}{24}-\frac{8021\,x}{480}+\frac{149}{30\,a}+\frac{55\,a^2\,x^3}{6}-\frac{155\,a^3\,x^4}{8}+\frac{251\,a^4\,x^5}{32}}{-a^6\,c^4\,x^6+4\,a^5\,c^4\,x^5-5\,a^4\,c^4\,x^4+5\,a^2\,c^4\,x^2-4\,a\,c^4\,x+c^4}+\frac{x}{c^4}+\frac{261\,\ln\left(a\,x-1\right)}{64\,a\,c^4}-\frac{5\,\ln\left(a\,x+1\right)}{64\,a\,c^4}","Not used",1,"((341*a*x^2)/24 - (8021*x)/480 + 149/(30*a) + (55*a^2*x^3)/6 - (155*a^3*x^4)/8 + (251*a^4*x^5)/32)/(c^4 + 5*a^2*c^4*x^2 - 5*a^4*c^4*x^4 + 4*a^5*c^4*x^5 - a^6*c^4*x^6 - 4*a*c^4*x) + x/c^4 + (261*log(a*x - 1))/(64*a*c^4) - (5*log(a*x + 1))/(64*a*c^4)","B"
806,1,332,343,1.367511,"\text{Not used}","int((c - c/(a^2*x^2))^4*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{51\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}+\frac{899\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{24}+\frac{3431\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}+\frac{71801\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{840}+\frac{1523\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{280}+\frac{839\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{40}+\frac{97\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}+\frac{19\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{8}}{a+\frac{6\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{14\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{14\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{14\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{14\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{6\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}-\frac{a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}}-\frac{35\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}-\frac{2\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((51*c^4*((a*x - 1)/(a*x + 1))^(1/2))/8 + (899*c^4*((a*x - 1)/(a*x + 1))^(3/2))/24 + (3431*c^4*((a*x - 1)/(a*x + 1))^(5/2))/40 + (71801*c^4*((a*x - 1)/(a*x + 1))^(7/2))/840 + (1523*c^4*((a*x - 1)/(a*x + 1))^(9/2))/280 + (839*c^4*((a*x - 1)/(a*x + 1))^(11/2))/40 + (97*c^4*((a*x - 1)/(a*x + 1))^(13/2))/8 + (19*c^4*((a*x - 1)/(a*x + 1))^(15/2))/8)/(a + (6*a*(a*x - 1))/(a*x + 1) + (14*a*(a*x - 1)^2)/(a*x + 1)^2 + (14*a*(a*x - 1)^3)/(a*x + 1)^3 - (14*a*(a*x - 1)^5)/(a*x + 1)^5 - (14*a*(a*x - 1)^6)/(a*x + 1)^6 - (6*a*(a*x - 1)^7)/(a*x + 1)^7 - (a*(a*x - 1)^8)/(a*x + 1)^8) - (35*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) - (2*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
807,1,258,269,0.109019,"\text{Not used}","int((c - c/(a^2*x^2))^3*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{\frac{23\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{269\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12}+\frac{827\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{30}+\frac{43\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{30}+\frac{61\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{12}+\frac{7\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{4}}{a+\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{5\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}}-\frac{15\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}-\frac{2\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((23*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 + (269*c^3*((a*x - 1)/(a*x + 1))^(3/2))/12 + (827*c^3*((a*x - 1)/(a*x + 1))^(5/2))/30 + (43*c^3*((a*x - 1)/(a*x + 1))^(7/2))/30 + (61*c^3*((a*x - 1)/(a*x + 1))^(9/2))/12 + (7*c^3*((a*x - 1)/(a*x + 1))^(11/2))/4)/(a + (4*a*(a*x - 1))/(a*x + 1) + (5*a*(a*x - 1)^2)/(a*x + 1)^2 - (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (4*a*(a*x - 1)^5)/(a*x + 1)^5 - (a*(a*x - 1)^6)/(a*x + 1)^6) - (15*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a) - (2*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
808,1,183,195,1.299211,"\text{Not used}","int((c - c/(a^2*x^2))^2*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{5\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{29\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+\frac{c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}+c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}-\frac{3\,c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{2\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^2*((a*x - 1)/(a*x + 1))^(1/2) + (29*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 + (c^2*((a*x - 1)/(a*x + 1))^(5/2))/3 + c^2*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) - (3*c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (2*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
809,1,84,108,1.278219,"\text{Not used}","int((c - c/(a^2*x^2))*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{4\,c\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}-\frac{2\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{2\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(4*c*((a*x - 1)/(a*x + 1))^(1/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2) - (2*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a - (2*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
810,1,86,105,0.054220,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2)),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c-\frac{a\,c\,\left(a\,x-1\right)}{a\,x+1}}+\frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c}-\frac{2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a\,c}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c - (a*c*(a*x - 1))/(a*x + 1)) + ((a*x - 1)/(a*x + 1))^(1/2)/(a*c) - (2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/(a*c)","B"
811,1,137,179,1.296025,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^2,x)","\frac{\frac{9\,\left(a\,x-1\right)}{a\,x+1}-1}{4\,a\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}-4\,a\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}+\frac{3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a\,c^2}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{12\,a\,c^2}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,c^2}","Not used",1,"((9*(a*x - 1))/(a*x + 1) - 1)/(4*a*c^2*((a*x - 1)/(a*x + 1))^(1/2) - 4*a*c^2*((a*x - 1)/(a*x + 1))^(3/2)) + (3*((a*x - 1)/(a*x + 1))^(1/2))/(2*a*c^2) + ((a*x - 1)/(a*x + 1))^(3/2)/(12*a*c^2) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*2i)/(a*c^2)","B"
812,1,178,255,0.061699,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^3,x)","\frac{15\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8\,a\,c^3}-\frac{\frac{23\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{40\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{6\,a\,c^3}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{80\,a\,c^3}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,c^3}","Not used",1,"(15*((a*x - 1)/(a*x + 1))^(1/2))/(8*a*c^3) - ((23*(a*x - 1))/(3*(a*x + 1)) - (40*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(16*a*c^3*((a*x - 1)/(a*x + 1))^(3/2) - 16*a*c^3*((a*x - 1)/(a*x + 1))^(5/2)) + ((a*x - 1)/(a*x + 1))^(3/2)/(6*a*c^3) + ((a*x - 1)/(a*x + 1))^(5/2)/(80*a*c^3) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*2i)/(a*c^3)","B"
813,1,217,329,1.282192,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^4,x)","\frac{35\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{16\,a\,c^4}-\frac{\frac{131\,{\left(a\,x-1\right)}^2}{3\,{\left(a\,x+1\right)}^2}-\frac{175\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}+\frac{47\,\left(a\,x-1\right)}{15\,\left(a\,x+1\right)}+\frac{1}{5}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}-64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}+\frac{47\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{192\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{32\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{448\,a\,c^4}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{a\,c^4}","Not used",1,"(35*((a*x - 1)/(a*x + 1))^(1/2))/(16*a*c^4) - ((131*(a*x - 1)^2)/(3*(a*x + 1)^2) - (175*(a*x - 1)^3)/(a*x + 1)^3 + (47*(a*x - 1))/(15*(a*x + 1)) + 1/5)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(5/2) - 64*a*c^4*((a*x - 1)/(a*x + 1))^(7/2)) + (47*((a*x - 1)/(a*x + 1))^(3/2))/(192*a*c^4) + ((a*x - 1)/(a*x + 1))^(5/2)/(32*a*c^4) + ((a*x - 1)/(a*x + 1))^(7/2)/(448*a*c^4) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*2i)/(a*c^4)","B"
814,1,67,90,1.317795,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x - 1))/(a*x + 1),x)","-\frac{c^4\,\left(\frac{a\,x}{3}+\frac{2\,a^2\,x^2}{5}-\frac{3\,a^3\,x^3}{2}+3\,a^5\,x^5-2\,a^6\,x^6-a^8\,x^8+2\,a^7\,x^7\,\ln\left(x\right)-\frac{1}{7}\right)}{a^8\,x^7}","Not used",1,"-(c^4*((a*x)/3 + (2*a^2*x^2)/5 - (3*a^3*x^3)/2 + 3*a^5*x^5 - 2*a^6*x^6 - a^8*x^8 + 2*a^7*x^7*log(x) - 1/7))/(a^8*x^7)","B"
815,1,56,76,1.251392,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x - 1))/(a*x + 1),x)","\frac{c^3\,\left(\frac{a\,x}{2}+\frac{a^2\,x^2}{3}-2\,a^3\,x^3+a^4\,x^4+a^6\,x^6-2\,a^5\,x^5\,\ln\left(x\right)-\frac{1}{5}\right)}{a^6\,x^5}","Not used",1,"(c^3*((a*x)/2 + (a^2*x^2)/3 - 2*a^3*x^3 + a^4*x^4 + a^6*x^6 - 2*a^5*x^5*log(x) - 1/5))/(a^6*x^5)","B"
816,1,35,40,0.049701,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x - 1))/(a*x + 1),x)","-\frac{c^2\,\left(3\,a\,x-3\,a^4\,x^4+6\,a^3\,x^3\,\ln\left(x\right)-1\right)}{3\,a^4\,x^3}","Not used",1,"-(c^2*(3*a*x - 3*a^4*x^4 + 6*a^3*x^3*log(x) - 1))/(3*a^4*x^3)","B"
817,1,25,21,1.227152,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x - 1))/(a*x + 1),x)","-\frac{c\,\left(2\,a\,x\,\ln\left(x\right)-a^2\,x^2+1\right)}{a^2\,x}","Not used",1,"-(c*(2*a*x*log(x) - a^2*x^2 + 1))/(a^2*x)","B"
818,1,33,35,0.051649,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))*(a*x + 1)),x)","\frac{x}{c}-\frac{1}{a\,\left(c+a\,c\,x\right)}-\frac{2\,\ln\left(a\,x+1\right)}{a\,c}","Not used",1,"x/c - 1/(a*(c + a*c*x)) - (2*log(a*x + 1))/(a*c)","B"
819,1,68,73,1.306855,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^2*(a*x + 1)),x)","\frac{x}{c^2}-\frac{\frac{7\,x}{4}+\frac{3}{2\,a}}{a^2\,c^2\,x^2+2\,a\,c^2\,x+c^2}+\frac{\ln\left(a\,x-1\right)}{8\,a\,c^2}-\frac{17\,\ln\left(a\,x+1\right)}{8\,a\,c^2}","Not used",1,"x/c^2 - ((7*x)/4 + 3/(2*a))/(c^2 + a^2*c^2*x^2 + 2*a*c^2*x) + log(a*x - 1)/(8*a*c^2) - (17*log(a*x + 1))/(8*a*c^2)","B"
820,1,94,108,0.120340,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^3*(a*x + 1)),x)","\frac{x}{c^3}-\frac{\frac{13\,x}{6}-2\,a\,x^2+\frac{11}{6\,a}-\frac{5\,a^2\,x^3}{2}}{-a^4\,c^3\,x^4-2\,a^3\,c^3\,x^3+2\,a\,c^3\,x+c^3}+\frac{\ln\left(a\,x-1\right)}{4\,a\,c^3}-\frac{9\,\ln\left(a\,x+1\right)}{4\,a\,c^3}","Not used",1,"x/c^3 - ((13*x)/6 - 2*a*x^2 + 11/(6*a) - (5*a^2*x^3)/2)/(c^3 - 2*a^3*c^3*x^3 - a^4*c^3*x^4 + 2*a*c^3*x) + log(a*x - 1)/(4*a*c^3) - (9*log(a*x + 1))/(4*a*c^3)","B"
821,1,142,143,0.152927,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^4*(a*x + 1)),x)","\frac{x}{c^4}-\frac{\frac{467\,x}{192}-\frac{437\,a\,x^2}{96}+\frac{25}{12\,a}-\frac{529\,a^2\,x^3}{96}+\frac{81\,a^3\,x^4}{32}+\frac{209\,a^4\,x^5}{64}}{a^6\,c^4\,x^6+2\,a^5\,c^4\,x^5-a^4\,c^4\,x^4-4\,a^3\,c^4\,x^3-a^2\,c^4\,x^2+2\,a\,c^4\,x+c^4}+\frac{47\,\ln\left(a\,x-1\right)}{128\,a\,c^4}-\frac{303\,\ln\left(a\,x+1\right)}{128\,a\,c^4}","Not used",1,"x/c^4 - ((467*x)/192 - (437*a*x^2)/96 + 25/(12*a) - (529*a^2*x^3)/96 + (81*a^3*x^4)/32 + (209*a^4*x^5)/64)/(c^4 - a^2*c^4*x^2 - 4*a^3*c^4*x^3 - a^4*c^4*x^4 + 2*a^5*c^4*x^5 + a^6*c^4*x^6 + 2*a*c^4*x) + (47*log(a*x - 1))/(128*a*c^4) - (303*log(a*x + 1))/(128*a*c^4)","B"
822,1,332,343,0.173461,"\text{Not used}","int((c - c/(a^2*x^2))^4*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{63\,c^4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{8}+\frac{389\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{8}+\frac{4803\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{40}+\frac{39071\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{280}+\frac{12799\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{280}-\frac{2973\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{40}-\frac{219\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{13/2}}{8}-\frac{33\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{15/2}}{8}}{a+\frac{6\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{14\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{14\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{14\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{14\,a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}-\frac{6\,a\,{\left(a\,x-1\right)}^7}{{\left(a\,x+1\right)}^7}-\frac{a\,{\left(a\,x-1\right)}^8}{{\left(a\,x+1\right)}^8}}-\frac{15\,c^4\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{8\,a}-\frac{6\,c^4\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((63*c^4*((a*x - 1)/(a*x + 1))^(1/2))/8 + (389*c^4*((a*x - 1)/(a*x + 1))^(3/2))/8 + (4803*c^4*((a*x - 1)/(a*x + 1))^(5/2))/40 + (39071*c^4*((a*x - 1)/(a*x + 1))^(7/2))/280 + (12799*c^4*((a*x - 1)/(a*x + 1))^(9/2))/280 - (2973*c^4*((a*x - 1)/(a*x + 1))^(11/2))/40 - (219*c^4*((a*x - 1)/(a*x + 1))^(13/2))/8 - (33*c^4*((a*x - 1)/(a*x + 1))^(15/2))/8)/(a + (6*a*(a*x - 1))/(a*x + 1) + (14*a*(a*x - 1)^2)/(a*x + 1)^2 + (14*a*(a*x - 1)^3)/(a*x + 1)^3 - (14*a*(a*x - 1)^5)/(a*x + 1)^5 - (14*a*(a*x - 1)^6)/(a*x + 1)^6 - (6*a*(a*x - 1)^7)/(a*x + 1)^7 - (a*(a*x - 1)^8)/(a*x + 1)^8) - (15*c^4*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(8*a) - (6*c^4*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
823,1,258,269,1.263264,"\text{Not used}","int((c - c/(a^2*x^2))^3*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{\frac{27\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4}+\frac{115\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{4}+\frac{421\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{10}+\frac{149\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{10}-\frac{93\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{4}-\frac{21\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{11/2}}{4}}{a+\frac{4\,a\,\left(a\,x-1\right)}{a\,x+1}+\frac{5\,a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}-\frac{5\,a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}-\frac{4\,a\,{\left(a\,x-1\right)}^5}{{\left(a\,x+1\right)}^5}-\frac{a\,{\left(a\,x-1\right)}^6}{{\left(a\,x+1\right)}^6}}-\frac{3\,c^3\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{4\,a}-\frac{6\,c^3\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"((27*c^3*((a*x - 1)/(a*x + 1))^(1/2))/4 + (115*c^3*((a*x - 1)/(a*x + 1))^(3/2))/4 + (421*c^3*((a*x - 1)/(a*x + 1))^(5/2))/10 + (149*c^3*((a*x - 1)/(a*x + 1))^(7/2))/10 - (93*c^3*((a*x - 1)/(a*x + 1))^(9/2))/4 - (21*c^3*((a*x - 1)/(a*x + 1))^(11/2))/4)/(a + (4*a*(a*x - 1))/(a*x + 1) + (5*a*(a*x - 1)^2)/(a*x + 1)^2 - (5*a*(a*x - 1)^4)/(a*x + 1)^4 - (4*a*(a*x - 1)^5)/(a*x + 1)^5 - (a*(a*x - 1)^6)/(a*x + 1)^6) - (3*c^3*atan(((a*x - 1)/(a*x + 1))^(1/2)))/(4*a) - (6*c^3*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
824,1,183,195,0.093439,"\text{Not used}","int((c - c/(a^2*x^2))^2*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{5\,c^2\,\sqrt{\frac{a\,x-1}{a\,x+1}}+\frac{37\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3}+\frac{17\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{3}-7\,c^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{a+\frac{2\,a\,\left(a\,x-1\right)}{a\,x+1}-\frac{2\,a\,{\left(a\,x-1\right)}^3}{{\left(a\,x+1\right)}^3}-\frac{a\,{\left(a\,x-1\right)}^4}{{\left(a\,x+1\right)}^4}}+\frac{c^2\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{6\,c^2\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}","Not used",1,"(5*c^2*((a*x - 1)/(a*x + 1))^(1/2) + (37*c^2*((a*x - 1)/(a*x + 1))^(3/2))/3 + (17*c^2*((a*x - 1)/(a*x + 1))^(5/2))/3 - 7*c^2*((a*x - 1)/(a*x + 1))^(7/2))/(a + (2*a*(a*x - 1))/(a*x + 1) - (2*a*(a*x - 1)^3)/(a*x + 1)^3 - (a*(a*x - 1)^4)/(a*x + 1)^4) + (c^2*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (6*c^2*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a","B"
825,1,84,76,0.061113,"\text{Not used}","int((c - c/(a^2*x^2))*((a*x - 1)/(a*x + 1))^(3/2),x)","\frac{6\,c\,\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}-\frac{6\,c\,\mathrm{atanh}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\right)}{a}+\frac{4\,c\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{a-\frac{a\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}}","Not used",1,"(6*c*atan(((a*x - 1)/(a*x + 1))^(1/2)))/a - (6*c*atanh(((a*x - 1)/(a*x + 1))^(1/2)))/a + (4*c*((a*x - 1)/(a*x + 1))^(3/2))/(a - (a*(a*x - 1)^2)/(a*x + 1)^2)","B"
826,1,114,144,0.068785,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2)),x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c-\frac{a\,c\,\left(a\,x-1\right)}{a\,x+1}}+\frac{4\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{3\,a\,c}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,6{}\mathrm{i}}{a\,c}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c - (a*c*(a*x - 1))/(a*x + 1)) + (4*((a*x - 1)/(a*x + 1))^(1/2))/(a*c) + ((a*x - 1)/(a*x + 1))^(3/2)/(3*a*c) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*6i)/(a*c)","B"
827,1,141,181,0.045728,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^2,x)","\frac{2\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{a\,c^2-\frac{a\,c^2\,\left(a\,x-1\right)}{a\,x+1}}+\frac{17\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{4\,a\,c^2}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{2\,a\,c^2}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{20\,a\,c^2}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,6{}\mathrm{i}}{a\,c^2}","Not used",1,"(2*((a*x - 1)/(a*x + 1))^(1/2))/(a*c^2 - (a*c^2*(a*x - 1))/(a*x + 1)) + (17*((a*x - 1)/(a*x + 1))^(1/2))/(4*a*c^2) + ((a*x - 1)/(a*x + 1))^(3/2)/(2*a*c^2) + ((a*x - 1)/(a*x + 1))^(5/2)/(20*a*c^2) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*6i)/(a*c^2)","B"
828,1,183,253,0.053723,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^3,x)","\frac{\frac{33\,\left(a\,x-1\right)}{a\,x+1}-1}{16\,a\,c^3\,\sqrt{\frac{a\,x-1}{a\,x+1}}-16\,a\,c^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}+\frac{9\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,a\,c^3}+\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{8\,a\,c^3}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{10\,a\,c^3}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{112\,a\,c^3}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,6{}\mathrm{i}}{a\,c^3}","Not used",1,"((33*(a*x - 1))/(a*x + 1) - 1)/(16*a*c^3*((a*x - 1)/(a*x + 1))^(1/2) - 16*a*c^3*((a*x - 1)/(a*x + 1))^(3/2)) + (9*((a*x - 1)/(a*x + 1))^(1/2))/(2*a*c^3) + (5*((a*x - 1)/(a*x + 1))^(3/2))/(8*a*c^3) + ((a*x - 1)/(a*x + 1))^(5/2)/(10*a*c^3) + ((a*x - 1)/(a*x + 1))^(7/2)/(112*a*c^3) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*6i)/(a*c^3)","B"
829,1,224,327,0.063285,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^4,x)","\frac{303\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{64\,a\,c^4}-\frac{\frac{29\,\left(a\,x-1\right)}{3\,\left(a\,x+1\right)}-\frac{138\,{\left(a\,x-1\right)}^2}{{\left(a\,x+1\right)}^2}+\frac{1}{3}}{64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}-64\,a\,c^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}+\frac{35\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{48\,a\,c^4}+\frac{47\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{5/2}}{320\,a\,c^4}+\frac{5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{7/2}}{224\,a\,c^4}+\frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{9/2}}{576\,a\,c^4}+\frac{\mathrm{atan}\left(\sqrt{\frac{a\,x-1}{a\,x+1}}\,1{}\mathrm{i}\right)\,6{}\mathrm{i}}{a\,c^4}","Not used",1,"(303*((a*x - 1)/(a*x + 1))^(1/2))/(64*a*c^4) - ((29*(a*x - 1))/(3*(a*x + 1)) - (138*(a*x - 1)^2)/(a*x + 1)^2 + 1/3)/(64*a*c^4*((a*x - 1)/(a*x + 1))^(3/2) - 64*a*c^4*((a*x - 1)/(a*x + 1))^(5/2)) + (35*((a*x - 1)/(a*x + 1))^(3/2))/(48*a*c^4) + (47*((a*x - 1)/(a*x + 1))^(5/2))/(320*a*c^4) + (5*((a*x - 1)/(a*x + 1))^(7/2))/(224*a*c^4) + ((a*x - 1)/(a*x + 1))^(9/2)/(576*a*c^4) + (atan(((a*x - 1)/(a*x + 1))^(1/2)*1i)*6i)/(a*c^4)","B"
830,0,-1,321,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(7/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(7/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
831,0,-1,236,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(5/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(5/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
832,0,-1,146,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(3/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(3/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
833,0,-1,67,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
834,0,-1,72,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
835,0,-1,173,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
836,0,-1,263,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
837,0,-1,359,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
838,0,-1,372,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1))/(a*x - 1), x)","F"
839,0,-1,294,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1))/(a*x - 1), x)","F"
840,0,-1,213,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1))/(a*x - 1), x)","F"
841,0,-1,116,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
842,0,-1,111,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(1/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(1/2)*(a*x - 1)), x)","F"
843,0,-1,123,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(3/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(3/2)*(a*x - 1)), x)","F"
844,0,-1,203,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(5/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(5/2)*(a*x - 1)), x)","F"
845,0,-1,283,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(7/2)*(a*x - 1)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x-1\right)} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(7/2)*(a*x - 1)), x)","F"
846,0,-1,322,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(9/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(9/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
847,0,-1,324,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(7/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(7/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
848,0,-1,234,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(5/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(5/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
849,0,-1,148,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(3/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(3/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
850,0,-1,109,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
851,0,-1,115,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
852,0,-1,171,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
853,0,-1,267,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
854,0,-1,360,0.000000,"\text{Not used}","int(1/((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int(1/((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
855,0,-1,322,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
856,0,-1,238,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
857,0,-1,147,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
858,0,-1,68,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
859,0,-1,72,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(1/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{\sqrt{c-\frac{c}{a^2\,x^2}}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(1/2), x)","F"
860,0,-1,172,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(3/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(3/2), x)","F"
861,0,-1,263,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(5/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(5/2), x)","F"
862,0,-1,358,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(7/2),x)","\int \frac{\sqrt{\frac{a\,x-1}{a\,x+1}}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(1/2)/(c - c/(a^2*x^2))^(7/2), x)","F"
863,0,-1,375,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(a*x - 1))/(a*x + 1), x)","F"
864,0,-1,293,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(a*x - 1))/(a*x + 1), x)","F"
865,0,-1,213,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(a*x - 1))/(a*x + 1), x)","F"
866,0,-1,116,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
867,0,-1,112,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)), x)","F"
868,0,-1,124,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)), x)","F"
869,0,-1,195,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)), x)","F"
870,0,-1,270,0.000000,"\text{Not used}","int((a*x - 1)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)),x)","\int \frac{a\,x-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((a*x - 1)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)), x)","F"
871,0,-1,322,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(9/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(9/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
872,0,-1,324,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(7/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
873,0,-1,235,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(5/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
874,0,-1,148,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int {\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(3/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
875,0,-1,107,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
876,0,-1,113,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(1/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{\sqrt{c-\frac{c}{a^2\,x^2}}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(1/2), x)","F"
877,0,-1,168,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(3/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(3/2), x)","F"
878,0,-1,264,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(5/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(5/2), x)","F"
879,0,-1,357,0.000000,"\text{Not used}","int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(7/2),x)","\int \frac{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}} \,d x","Not used",1,"int(((a*x - 1)/(a*x + 1))^(3/2)/(c - c/(a^2*x^2))^(7/2), x)","F"
880,0,-1,80,0.000000,"\text{Not used}","int((x^m*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{x^m\,\sqrt{c-\frac{c}{a^2\,x^2}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((x^m*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
881,1,46,76,1.442346,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(2\,a\,x+3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,\left(a\,x-1\right)}","Not used",1,"(x^3*(c - c/(a^2*x^2))^(1/2)*(2*a*x + 3)*((a*x - 1)/(a*x + 1))^(1/2))/(6*(a*x - 1))","B"
882,1,45,71,1.400413,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+2\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,\left(a\,x-1\right)}","Not used",1,"(x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 2)*((a*x - 1)/(a*x + 1))^(1/2))/(2*(a*x - 1))","B"
883,0,-1,67,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(1/2), x)","F"
884,0,-1,70,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x\,\sqrt{\frac{a\,x-1}{a\,x+1}}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(1/2)), x)","F"
885,1,63,46,1.401688,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(1/2)),x)","\frac{\left(x\,\sqrt{c-\frac{c}{a^2\,x^2}}+\frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{2\,a}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\frac{x}{a}-x^2}","Not used",1,"((x*(c - c/(a^2*x^2))^(1/2) + (c - c/(a^2*x^2))^(1/2)/(2*a))*((a*x - 1)/(a*x + 1))^(1/2))/(x/a - x^2)","B"
886,0,-1,160,0.000000,"\text{Not used}","int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
887,0,-1,123,0.000000,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
888,0,-1,98,0.000000,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int((x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
889,0,-1,116,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{a\,x-1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(a*x - 1), x)","F"
890,0,-1,117,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x*(a*x - 1)), x)","F"
891,0,-1,111,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^2*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x^2\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^2*(a*x - 1)), x)","F"
892,0,-1,137,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^3*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x^3\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^3*(a*x - 1)), x)","F"
893,0,-1,156,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^4*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x^4\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^4*(a*x - 1)), x)","F"
894,0,-1,181,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^5*(a*x - 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x^5\,\left(a\,x-1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^5*(a*x - 1)), x)","F"
895,0,-1,186,0.000000,"\text{Not used}","int((x^3*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
896,0,-1,152,0.000000,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
897,0,-1,113,0.000000,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - c/(a^2*x^2))^(1/2))/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
898,0,-1,109,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/((a*x - 1)/(a*x + 1))^(3/2), x)","F"
899,0,-1,108,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
900,0,-1,147,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x^2\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x^2*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
901,0,-1,188,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x^3\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x^3*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
902,0,-1,222,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x^4\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x^4*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
903,0,-1,264,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{x^5\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)/(x^5*((a*x - 1)/(a*x + 1))^(3/2)), x)","F"
904,0,-1,81,0.000000,"\text{Not used}","int(x^m*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int x^m\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int(x^m*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
905,1,46,76,1.362866,"\text{Not used}","int(x^2*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(2\,a\,x-3\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{6\,\left(a\,x-1\right)}","Not used",1,"(x^3*(c - c/(a^2*x^2))^(1/2)*(2*a*x - 3)*((a*x - 1)/(a*x + 1))^(1/2))/(6*(a*x - 1))","B"
906,1,45,72,1.319178,"\text{Not used}","int(x*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-2\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{2\,\left(a\,x-1\right)}","Not used",1,"(x^2*(c - c/(a^2*x^2))^(1/2)*(a*x - 2)*((a*x - 1)/(a*x + 1))^(1/2))/(2*(a*x - 1))","B"
907,0,-1,68,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2),x)","\int \sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{\frac{a\,x-1}{a\,x+1}} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2), x)","F"
908,0,-1,69,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{x} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x, x)","F"
909,1,63,47,1.362473,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(1/2))/x^2,x)","\frac{\left(x\,\sqrt{c-\frac{c}{a^2\,x^2}}-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}}{2\,a}\right)\,\sqrt{\frac{a\,x-1}{a\,x+1}}}{\frac{x}{a}-x^2}","Not used",1,"((x*(c - c/(a^2*x^2))^(1/2) - (c - c/(a^2*x^2))^(1/2)/(2*a))*((a*x - 1)/(a*x + 1))^(1/2))/(x/a - x^2)","B"
910,0,-1,163,0.000000,"\text{Not used}","int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
911,0,-1,124,0.000000,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
912,0,-1,99,0.000000,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int((x*(c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
913,0,-1,116,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(a*x + 1), x)","F"
914,0,-1,117,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x*(a*x + 1)), x)","F"
915,0,-1,112,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^2*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^2*(a*x + 1)), x)","F"
916,0,-1,140,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^3*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{x^3\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^3*(a*x + 1)), x)","F"
917,0,-1,156,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^4*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{x^4\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^4*(a*x + 1)), x)","F"
918,0,-1,181,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^5*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x-1\right)}{x^5\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x - 1))/(x^5*(a*x + 1)), x)","F"
919,0,-1,186,0.000000,"\text{Not used}","int(x^3*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^3*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
920,0,-1,151,0.000000,"\text{Not used}","int(x^2*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x^2*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
921,0,-1,112,0.000000,"\text{Not used}","int(x*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int(x*(c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
922,0,-1,107,0.000000,"\text{Not used}","int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2),x)","\int \sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2} \,d x","Not used",1,"int((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2), x)","F"
923,0,-1,108,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x, x)","F"
924,0,-1,146,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^2, x)","F"
925,0,-1,187,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^3, x)","F"
926,0,-1,221,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^4, x)","F"
927,0,-1,263,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(\frac{a\,x-1}{a\,x+1}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*((a*x - 1)/(a*x + 1))^(3/2))/x^5, x)","F"
928,0,-1,154,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a^2*x^2)),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\left(c-\frac{c}{a^2\,x^2}\right) \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a^2*x^2)), x)","F"
929,0,-1,150,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a^2*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{c-\frac{c}{a^2\,x^2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a^2*x^2)), x)","F"
930,0,-1,289,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a^2*x^2))^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^2} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a^2*x^2))^2, x)","F"
931,0,-1,295,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a^2*x^2))^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,\sqrt{c-\frac{c}{a^2\,x^2}} \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a^2*x^2))^(1/2), x)","F"
932,0,-1,183,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))/(c - c/(a^2*x^2))^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}}{\sqrt{c-\frac{c}{a^2\,x^2}}} \,d x","Not used",1,"int(exp(n*acoth(a*x))/(c - c/(a^2*x^2))^(1/2), x)","F"
933,0,-1,116,0.000000,"\text{Not used}","int(exp(n*acoth(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{n\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(n*acoth(a*x))*(c - c/(a^2*x^2))^p, x)","F"
934,0,-1,76,0.000000,"\text{Not used}","int(exp(-2*p*acoth(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{-2\,p\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(-2*p*acoth(a*x))*(c - c/(a^2*x^2))^p, x)","F"
935,0,-1,75,0.000000,"\text{Not used}","int(exp(2*p*acoth(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{2\,p\,\mathrm{acoth}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(2*p*acoth(a*x))*(c - c/(a^2*x^2))^p, x)","F"