1,1,112,111,0.076492,"\text{Not used}","int((x^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^4\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{8}{15\,a^3\,\sqrt{-a^2}}+\frac{a\,x^4}{5\,\sqrt{-a^2}}-\frac{3\,x\,\sqrt{-a^2}}{8\,a^4}+\frac{4\,x^2}{15\,a\,\sqrt{-a^2}}+\frac{x^3\,{\left(-a^2\right)}^{3/2}}{4\,a^4}\right)}{\sqrt{-a^2}}","Not used",1,"(3*asinh(x*(-a^2)^(1/2)))/(8*a^4*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*(8/(15*a^3*(-a^2)^(1/2)) + (a*x^4)/(5*(-a^2)^(1/2)) - (3*x*(-a^2)^(1/2))/(8*a^4) + (4*x^2)/(15*a*(-a^2)^(1/2)) + (x^3*(-a^2)^(3/2))/(4*a^4)))/(-a^2)^(1/2)","B"
2,1,97,87,0.834137,"\text{Not used}","int((x^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^3\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,{\left(-a^2\right)}^{3/2}}+\frac{3\,x\,\sqrt{-a^2}}{8\,a^3}+\frac{a^2\,x^2}{3\,{\left(-a^2\right)}^{3/2}}-\frac{x^3\,{\left(-a^2\right)}^{3/2}}{4\,a^3}\right)}{\sqrt{-a^2}}","Not used",1,"(3*asinh(x*(-a^2)^(1/2)))/(8*a^3*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*(2/(3*(-a^2)^(3/2)) + (3*x*(-a^2)^(1/2))/(8*a^3) + (a^2*x^2)/(3*(-a^2)^(3/2)) - (x^3*(-a^2)^(3/2))/(4*a^3)))/(-a^2)^(1/2)","B"
3,1,82,74,0.051334,"\text{Not used}","int((x^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^2\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,a\,\sqrt{-a^2}}+\frac{a\,x^2}{3\,\sqrt{-a^2}}-\frac{x\,\sqrt{-a^2}}{2\,a^2}\right)}{\sqrt{-a^2}}","Not used",1,"asinh(x*(-a^2)^(1/2))/(2*a^2*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*(2/(3*a*(-a^2)^(1/2)) + (a*x^2)/(3*(-a^2)^(1/2)) - (x*(-a^2)^(1/2))/(2*a^2)))/(-a^2)^(1/2)","B"
4,1,58,38,0.795541,"\text{Not used}","int((x*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{1}{\sqrt{-a^2}}-\frac{x\,\sqrt{-a^2}}{2\,a}\right)+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a}}{\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*(1/(-a^2)^(1/2) - (x*(-a^2)^(1/2))/(2*a)) + asinh(x*(-a^2)^(1/2))/(2*a))/(-a^2)^(1/2)","B"
5,1,36,28,0.802045,"\text{Not used}","int((a*x + 1)/(1 - a^2*x^2)^(1/2),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a}","Not used",1,"asinh(x*(-a^2)^(1/2))/(-a^2)^(1/2) - (1 - a^2*x^2)^(1/2)/a","B"
6,1,35,22,0.034658,"\text{Not used}","int((a*x + 1)/(x*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)","Not used",1,"(a*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - atanh((1 - a^2*x^2)^(1/2))","B"
7,1,34,38,0.035192,"\text{Not used}","int((a*x + 1)/(x^2*(1 - a^2*x^2)^(1/2)),x)","-a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{\sqrt{1-a^2\,x^2}}{x}","Not used",1,"- a*atanh((1 - a^2*x^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/x","B"
8,1,54,64,0.038549,"\text{Not used}","int((a*x + 1)/(x^3*(1 - a^2*x^2)^(1/2)),x)","-\frac{a^2\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{2}-\frac{\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{a\,\sqrt{1-a^2\,x^2}}{x}","Not used",1,"- (a^2*atanh((1 - a^2*x^2)^(1/2)))/2 - (1 - a^2*x^2)^(1/2)/(2*x^2) - (a*(1 - a^2*x^2)^(1/2))/x","B"
9,1,78,90,0.033381,"\text{Not used}","int((a*x + 1)/(x^4*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{a\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 - (1 - a^2*x^2)^(1/2)/(3*x^3) - (a*(1 - a^2*x^2)^(1/2))/(2*x^2) - (2*a^2*(1 - a^2*x^2)^(1/2))/(3*x)","B"
10,1,98,114,0.029622,"\text{Not used}","int((a*x + 1)/(x^5*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{a\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{3\,a^2\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{a^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8}","Not used",1,"(a^4*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/8 - (1 - a^2*x^2)^(1/2)/(4*x^4) - (a*(1 - a^2*x^2)^(1/2))/(3*x^3) - (3*a^2*(1 - a^2*x^2)^(1/2))/(8*x^2) - (2*a^3*(1 - a^2*x^2)^(1/2))/(3*x)","B"
11,1,39,44,0.045399,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/(a^2*x^2 - 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"
12,1,31,34,0.043807,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/(a^2*x^2 - 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"
13,1,23,26,0.802895,"\text{Not used}","int(-(x*(a*x + 1)^2)/(a^2*x^2 - 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"
14,1,15,16,0.031474,"\text{Not used}","int(-(a*x + 1)^2/(a^2*x^2 - 1),x)","-x-\frac{2\,\ln\left(a\,x-1\right)}{a}","Not used",1,"- x - (2*log(a*x - 1))/a","B"
15,1,12,12,0.818324,"\text{Not used}","int(-(a*x + 1)^2/(x*(a^2*x^2 - 1)),x)","\ln\left(x\right)-2\,\ln\left(3\,a\,x-3\right)","Not used",1,"log(x) - 2*log(3*a*x - 3)","B"
16,1,16,21,0.806672,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(a^2*x^2 - 1)),x)","4\,a\,\mathrm{atanh}\left(2\,a\,x-1\right)-\frac{1}{x}","Not used",1,"4*a*atanh(2*a*x - 1) - 1/x","B"
17,1,24,33,0.813908,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(a^2*x^2 - 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"
18,1,31,41,0.052363,"\text{Not used}","int(-(a*x + 1)^2/(x^4*(a^2*x^2 - 1)),x)","4\,a^3\,\mathrm{atanh}\left(2\,a\,x-1\right)-\frac{2\,a^2\,x^2+a\,x+\frac{1}{3}}{x^3}","Not used",1,"4*a^3*atanh(2*a*x - 1) - (a*x + 2*a^2*x^2 + 1/3)/x^3","B"
19,1,143,92,0.071414,"\text{Not used}","int((x^2*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{4\,\sqrt{1-a^2\,x^2}}{a^2\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,a\,\sqrt{-a^2}}-\frac{4\,\sqrt{-a^2}}{a^3}+\frac{a\,x^2}{3\,\sqrt{-a^2}}-\frac{3\,x\,\sqrt{-a^2}}{2\,a^2}\right)}{\sqrt{-a^2}}-\frac{11\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^2\,\sqrt{-a^2}}","Not used",1,"(4*(1 - a^2*x^2)^(1/2))/(a^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*(2/(3*a*(-a^2)^(1/2)) - (4*(-a^2)^(1/2))/a^3 + (a*x^2)/(3*(-a^2)^(1/2)) - (3*x*(-a^2)^(1/2))/(2*a^2)))/(-a^2)^(1/2) - (11*asinh(x*(-a^2)^(1/2)))/(2*a^2*(-a^2)^(1/2))","B"
20,1,102,88,0.805613,"\text{Not used}","int((x*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","-\frac{\left(\frac{3}{\sqrt{-a^2}}-\frac{x\,\sqrt{-a^2}}{2\,a}\right)\,\sqrt{1-a^2\,x^2}+\frac{9\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a}-\frac{4\,\sqrt{1-a^2\,x^2}}{a\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}}{\sqrt{-a^2}}","Not used",1,"-((3/(-a^2)^(1/2) - (x*(-a^2)^(1/2))/(2*a))*(1 - a^2*x^2)^(1/2) + (9*asinh(x*(-a^2)^(1/2)))/(2*a) - (4*(1 - a^2*x^2)^(1/2))/(a*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)))/(-a^2)^(1/2)","B"
21,1,81,55,0.807008,"\text{Not used}","int((a*x + 1)^3/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{1-a^2\,x^2}}{a}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{4\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/a - (3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (4*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
22,1,82,48,0.073258,"\text{Not used}","int((a*x + 1)^3/(x*(1 - a^2*x^2)^(3/2)),x)","\frac{4\,a\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{a\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)","Not used",1,"(4*a*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (a*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - atanh((1 - a^2*x^2)^(1/2))","B"
23,1,82,63,0.798549,"\text{Not used}","int((a*x + 1)^3/(x^2*(1 - a^2*x^2)^(3/2)),x)","\frac{4\,a^2\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{x}-3\,a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)","Not used",1,"(4*a^2*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/x - 3*a*atanh((1 - a^2*x^2)^(1/2))","B"
24,1,106,91,0.818693,"\text{Not used}","int((a*x + 1)^3/(x^3*(1 - a^2*x^2)^(3/2)),x)","\frac{4\,a^3\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{3\,a\,\sqrt{1-a^2\,x^2}}{x}-\frac{\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{2}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*9i)/2 - (1 - a^2*x^2)^(1/2)/(2*x^2) - (3*a*(1 - a^2*x^2)^(1/2))/x + (4*a^3*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
25,1,126,117,0.812522,"\text{Not used}","int((a*x + 1)^3/(x^4*(1 - a^2*x^2)^(3/2)),x)","\frac{4\,a^4\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{3\,a\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{14\,a^2\,\sqrt{1-a^2\,x^2}}{3\,x}-\frac{\sqrt{1-a^2\,x^2}}{3\,x^3}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,11{}\mathrm{i}}{2}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*11i)/2 - (1 - a^2*x^2)^(1/2)/(3*x^3) - (3*a*(1 - a^2*x^2)^(1/2))/(2*x^2) - (14*a^2*(1 - a^2*x^2)^(1/2))/(3*x) + (4*a^4*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
26,1,57,57,0.813224,"\text{Not used}","int((x^3*(a*x + 1)^4)/(a^2*x^2 - 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"
27,1,49,47,0.794939,"\text{Not used}","int((x^2*(a*x + 1)^4)/(a^2*x^2 - 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"
28,1,38,39,0.041089,"\text{Not used}","int((x*(a*x + 1)^4)/(a^2*x^2 - 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"
29,1,25,27,0.037318,"\text{Not used}","int((a*x + 1)^4/(a^2*x^2 - 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"
30,1,12,13,0.037019,"\text{Not used}","int((a*x + 1)^4/(x*(a^2*x^2 - 1)^2),x)","\ln\left(x\right)-\frac{4}{a\,x-1}","Not used",1,"log(x) - 4/(a*x - 1)","B"
31,1,28,32,0.807729,"\text{Not used}","int((a*x + 1)^4/(x^2*(a^2*x^2 - 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"
32,1,41,46,0.058456,"\text{Not used}","int((a*x + 1)^4/(x^3*(a^2*x^2 - 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"
33,1,49,54,0.815097,"\text{Not used}","int((a*x + 1)^4/(x^4*(a^2*x^2 - 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"
34,1,97,87,0.810877,"\text{Not used}","int((x^3*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^3\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,{\left(-a^2\right)}^{3/2}}-\frac{3\,x\,\sqrt{-a^2}}{8\,a^3}+\frac{a^2\,x^2}{3\,{\left(-a^2\right)}^{3/2}}+\frac{x^3\,{\left(-a^2\right)}^{3/2}}{4\,a^3}\right)}{\sqrt{-a^2}}","Not used",1,"- (3*asinh(x*(-a^2)^(1/2)))/(8*a^3*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*(2/(3*(-a^2)^(3/2)) - (3*x*(-a^2)^(1/2))/(8*a^3) + (a^2*x^2)/(3*(-a^2)^(3/2)) + (x^3*(-a^2)^(3/2))/(4*a^3)))/(-a^2)^(1/2)","B"
35,1,82,73,0.826812,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^2\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a}{3\,{\left(-a^2\right)}^{3/2}}-\frac{x\,\sqrt{-a^2}}{2\,a^2}+\frac{a^3\,x^2}{3\,{\left(-a^2\right)}^{3/2}}\right)}{\sqrt{-a^2}}","Not used",1,"asinh(x*(-a^2)^(1/2))/(2*a^2*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*((2*a)/(3*(-a^2)^(3/2)) - (x*(-a^2)^(1/2))/(2*a^2) + (a^3*x^2)/(3*(-a^2)^(3/2))))/(-a^2)^(1/2)","B"
36,1,58,39,0.777397,"\text{Not used}","int((x*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{1}{\sqrt{-a^2}}+\frac{x\,\sqrt{-a^2}}{2\,a}\right)-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a}}{\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*(1/(-a^2)^(1/2) + (x*(-a^2)^(1/2))/(2*a)) - asinh(x*(-a^2)^(1/2))/(2*a))/(-a^2)^(1/2)","B"
37,1,35,27,0.033792,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(a*x + 1),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{a}","Not used",1,"asinh(x*(-a^2)^(1/2))/(-a^2)^(1/2) + (1 - a^2*x^2)^(1/2)/a","B"
38,1,36,24,0.033533,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(x*(a*x + 1)),x)","-\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{a\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}","Not used",1,"- atanh((1 - a^2*x^2)^(1/2)) - (a*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
39,1,33,37,0.034472,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(x^2*(a*x + 1)),x)","a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{\sqrt{1-a^2\,x^2}}{x}","Not used",1,"a*atanh((1 - a^2*x^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/x","B"
40,1,53,63,0.037783,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(x^3*(a*x + 1)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{x}-\frac{\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{a^2\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{2}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/x - (1 - a^2*x^2)^(1/2)/(2*x^2) - (a^2*atanh((1 - a^2*x^2)^(1/2)))/2","B"
41,1,78,90,0.033462,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(x^4*(a*x + 1)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{3\,x}-\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(2*x^2) - (1 - a^2*x^2)^(1/2)/(3*x^3) - (a^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 - (2*a^2*(1 - a^2*x^2)^(1/2))/(3*x)","B"
42,1,98,114,0.029615,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/(x^5*(a*x + 1)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{3\,a^2\,\sqrt{1-a^2\,x^2}}{8\,x^2}+\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{a^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8}","Not used",1,"(a^4*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/8 - (1 - a^2*x^2)^(1/2)/(4*x^4) + (a*(1 - a^2*x^2)^(1/2))/(3*x^3) - (3*a^2*(1 - a^2*x^2)^(1/2))/(8*x^2) + (2*a^3*(1 - a^2*x^2)^(1/2))/(3*x)","B"
43,1,39,43,0.038893,"\text{Not used}","int(-(x^3*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{2\,x}{a^3}-\frac{2\,\ln\left(a\,x+1\right)}{a^4}-\frac{x^4}{4}+\frac{2\,x^3}{3\,a}-\frac{x^2}{a^2}","Not used",1,"(2*x)/a^3 - (2*log(a*x + 1))/a^4 - x^4/4 + (2*x^3)/(3*a) - x^2/a^2","B"
44,1,30,32,0.040681,"\text{Not used}","int(-(x^2*(a^2*x^2 - 1))/(a*x + 1)^2,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"
45,1,23,25,0.792816,"\text{Not used}","int(-(x*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{2\,x}{a}-\frac{2\,\ln\left(a\,x+1\right)}{a^2}-\frac{x^2}{2}","Not used",1,"(2*x)/a - (2*log(a*x + 1))/a^2 - x^2/2","B"
46,1,15,15,0.030424,"\text{Not used}","int(-(a^2*x^2 - 1)/(a*x + 1)^2,x)","\frac{2\,\ln\left(a\,x+1\right)}{a}-x","Not used",1,"(2*log(a*x + 1))/a - x","B"
47,1,12,11,0.794011,"\text{Not used}","int(-(a^2*x^2 - 1)/(x*(a*x + 1)^2),x)","\ln\left(x\right)-2\,\ln\left(3\,a\,x+3\right)","Not used",1,"log(x) - 2*log(3*a*x + 3)","B"
48,1,16,20,0.048373,"\text{Not used}","int(-(a^2*x^2 - 1)/(x^2*(a*x + 1)^2),x)","4\,a\,\mathrm{atanh}\left(2\,a\,x+1\right)-\frac{1}{x}","Not used",1,"4*a*atanh(2*a*x + 1) - 1/x","B"
49,1,23,32,0.796229,"\text{Not used}","int(-(a^2*x^2 - 1)/(x^3*(a*x + 1)^2),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"
50,1,32,39,0.049534,"\text{Not used}","int(-(a^2*x^2 - 1)/(x^4*(a*x + 1)^2),x)","4\,a^3\,\mathrm{atanh}\left(2\,a\,x+1\right)-\frac{2\,a^2\,x^2-a\,x+\frac{1}{3}}{x^3}","Not used",1,"4*a^3*atanh(2*a*x + 1) - (2*a^2*x^2 - a*x + 1/3)/x^3","B"
51,1,154,131,0.066823,"\text{Not used}","int((x^3*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{51\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^3\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{{\left(-a^2\right)}^{3/2}}-\frac{4}{a^2\,\sqrt{-a^2}}-\frac{19\,x\,\sqrt{-a^2}}{8\,a^3}+\frac{a^2\,x^2}{{\left(-a^2\right)}^{3/2}}+\frac{x^3\,{\left(-a^2\right)}^{3/2}}{4\,a^3}\right)}{\sqrt{-a^2}}-\frac{4\,\sqrt{1-a^2\,x^2}}{a^3\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(51*asinh(x*(-a^2)^(1/2)))/(8*a^3*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*(2/(-a^2)^(3/2) - 4/(a^2*(-a^2)^(1/2)) - (19*x*(-a^2)^(1/2))/(8*a^3) + (a^2*x^2)/(-a^2)^(3/2) + (x^3*(-a^2)^(3/2))/(4*a^3)))/(-a^2)^(1/2) - (4*(1 - a^2*x^2)^(1/2))/(a^3*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
52,1,141,95,0.054402,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,a\,\sqrt{-a^2}}-\frac{4\,\sqrt{-a^2}}{a^3}+\frac{a\,x^2}{3\,\sqrt{-a^2}}+\frac{3\,x\,\sqrt{-a^2}}{2\,a^2}\right)}{\sqrt{-a^2}}-\frac{11\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^2\,\sqrt{-a^2}}+\frac{4\,\sqrt{1-a^2\,x^2}}{a^2\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*(2/(3*a*(-a^2)^(1/2)) - (4*(-a^2)^(1/2))/a^3 + (a*x^2)/(3*(-a^2)^(1/2)) + (3*x*(-a^2)^(1/2))/(2*a^2)))/(-a^2)^(1/2) - (11*asinh(x*(-a^2)^(1/2)))/(2*a^2*(-a^2)^(1/2)) + (4*(1 - a^2*x^2)^(1/2))/(a^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
53,1,101,86,0.794296,"\text{Not used}","int((x*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","-\frac{\left(\frac{3}{\sqrt{-a^2}}+\frac{x\,\sqrt{-a^2}}{2\,a}\right)\,\sqrt{1-a^2\,x^2}-\frac{9\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a}+\frac{4\,\sqrt{1-a^2\,x^2}}{a\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)}}{\sqrt{-a^2}}","Not used",1,"-((3/(-a^2)^(1/2) + (x*(-a^2)^(1/2))/(2*a))*(1 - a^2*x^2)^(1/2) - (9*asinh(x*(-a^2)^(1/2)))/(2*a) + (4*(1 - a^2*x^2)^(1/2))/(a*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)))/(-a^2)^(1/2)","B"
54,1,81,56,0.048063,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(a*x + 1)^3,x)","\frac{4\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}","Not used",1,"(4*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/a - (3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
55,1,80,45,0.800796,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(x*(a*x + 1)^3),x)","\frac{a\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(a*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - atanh((1 - a^2*x^2)^(1/2)) - (4*a*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
56,1,81,62,0.803797,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(x^2*(a*x + 1)^3),x)","3\,a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{\sqrt{1-a^2\,x^2}}{x}+\frac{4\,a^2\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"3*a*atanh((1 - a^2*x^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/x + (4*a^2*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
57,1,105,90,0.805274,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(x^3*(a*x + 1)^3),x)","\frac{3\,a\,\sqrt{1-a^2\,x^2}}{x}-\frac{\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{4\,a^3\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,9{}\mathrm{i}}{2}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*9i)/2 - (1 - a^2*x^2)^(1/2)/(2*x^2) + (3*a*(1 - a^2*x^2)^(1/2))/x - (4*a^3*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
58,1,125,116,0.047983,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(x^4*(a*x + 1)^3),x)","\frac{3\,a\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{14\,a^2\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{4\,a^4\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,11{}\mathrm{i}}{2}","Not used",1,"(3*a*(1 - a^2*x^2)^(1/2))/(2*x^2) - (1 - a^2*x^2)^(1/2)/(3*x^3) - (a^3*atan((1 - a^2*x^2)^(1/2)*1i)*11i)/2 - (14*a^2*(1 - a^2*x^2)^(1/2))/(3*x) + (4*a^4*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
59,1,144,135,0.052221,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/(x^5*(a*x + 1)^3),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{x^3}-\frac{\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{19\,a^2\,\sqrt{1-a^2\,x^2}}{8\,x^2}+\frac{6\,a^3\,\sqrt{1-a^2\,x^2}}{x}-\frac{4\,a^5\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}+\frac{a^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,51{}\mathrm{i}}{8}","Not used",1,"(a^4*atan((1 - a^2*x^2)^(1/2)*1i)*51i)/8 - (1 - a^2*x^2)^(1/2)/(4*x^4) + (a*(1 - a^2*x^2)^(1/2))/x^3 - (19*a^2*(1 - a^2*x^2)^(1/2))/(8*x^2) + (6*a^3*(1 - a^2*x^2)^(1/2))/x - (4*a^5*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
60,0,-1,31,0.000000,"\text{Not used}","int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int x^m\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
61,0,-1,282,0.000000,"\text{Not used}","int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int x^2\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
62,0,-1,255,0.000000,"\text{Not used}","int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int x\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
63,0,-1,222,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
64,0,-1,227,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x, x)","F"
65,0,-1,73,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^2,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^2, x)","F"
66,0,-1,110,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^3,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^3} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^3, x)","F"
67,0,-1,139,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^4,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^4} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^4, x)","F"
68,0,-1,168,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^5,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^5} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^5, x)","F"
69,0,-1,197,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^6,x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^6} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/x^6, x)","F"
70,0,-1,31,0.000000,"\text{Not used}","int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int x^m\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2} \,d x","Not used",1,"int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
71,0,-1,290,0.000000,"\text{Not used}","int(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int x^3\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2} \,d x","Not used",1,"int(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
72,0,-1,282,0.000000,"\text{Not used}","int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int x^2\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2} \,d x","Not used",1,"int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
73,0,-1,255,0.000000,"\text{Not used}","int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int x\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2} \,d x","Not used",1,"int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
74,0,-1,223,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int {\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
75,0,-1,227,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}}{x} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x, x)","F"
76,0,-1,73,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^2,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}}{x^2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^2, x)","F"
77,0,-1,110,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^3,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^3, x)","F"
78,0,-1,139,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^4,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^4, x)","F"
79,0,-1,168,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^5,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)/x^5, x)","F"
80,0,-1,31,0.000000,"\text{Not used}","int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int x^m\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2} \,d x","Not used",1,"int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
81,0,-1,317,0.000000,"\text{Not used}","int(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int x^3\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2} \,d x","Not used",1,"int(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
82,0,-1,305,0.000000,"\text{Not used}","int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int x^2\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2} \,d x","Not used",1,"int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
83,0,-1,279,0.000000,"\text{Not used}","int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int x\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2} \,d x","Not used",1,"int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
84,0,-1,247,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int {\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
85,0,-1,248,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}}{x} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x, x)","F"
86,0,-1,95,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^2,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}}{x^2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^2, x)","F"
87,0,-1,136,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^3,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}}{x^3} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^3, x)","F"
88,0,-1,165,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^4,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}}{x^4} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^4, x)","F"
89,0,-1,194,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^5,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}}{x^5} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)/x^5, x)","F"
90,0,-1,31,0.000000,"\text{Not used}","int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \frac{x^m}{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
91,0,-1,290,0.000000,"\text{Not used}","int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \frac{x^3}{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
92,0,-1,282,0.000000,"\text{Not used}","int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \frac{x^2}{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
93,0,-1,255,0.000000,"\text{Not used}","int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \frac{x}{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
94,0,-1,221,0.000000,"\text{Not used}","int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \frac{1}{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
95,0,-1,227,0.000000,"\text{Not used}","int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)), x)","F"
96,0,-1,72,0.000000,"\text{Not used}","int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^2\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)), x)","F"
97,0,-1,110,0.000000,"\text{Not used}","int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^3\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)), x)","F"
98,0,-1,139,0.000000,"\text{Not used}","int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^4\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)), x)","F"
99,0,-1,168,0.000000,"\text{Not used}","int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)),x)","\int \frac{1}{x^5\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}} \,d x","Not used",1,"int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)), x)","F"
100,0,-1,31,0.000000,"\text{Not used}","int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int \frac{x^m}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
101,0,-1,290,0.000000,"\text{Not used}","int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int \frac{x^3}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
102,0,-1,282,0.000000,"\text{Not used}","int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int \frac{x^2}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
103,0,-1,255,0.000000,"\text{Not used}","int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int \frac{x}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
104,0,-1,222,0.000000,"\text{Not used}","int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2),x)","\int \frac{1}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2), x)","F"
105,0,-1,227,0.000000,"\text{Not used}","int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)),x)","\int \frac{1}{x\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)), x)","F"
106,0,-1,73,0.000000,"\text{Not used}","int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)),x)","\int \frac{1}{x^2\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)), x)","F"
107,0,-1,110,0.000000,"\text{Not used}","int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)),x)","\int \frac{1}{x^3\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)), x)","F"
108,0,-1,139,0.000000,"\text{Not used}","int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)),x)","\int \frac{1}{x^4\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)), x)","F"
109,0,-1,168,0.000000,"\text{Not used}","int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)),x)","\int \frac{1}{x^5\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{3/2}} \,d x","Not used",1,"int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(3/2)), x)","F"
110,0,-1,31,0.000000,"\text{Not used}","int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int \frac{x^m}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(x^m/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
111,0,-1,317,0.000000,"\text{Not used}","int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int \frac{x^3}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(x^3/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
112,0,-1,305,0.000000,"\text{Not used}","int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int \frac{x^2}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(x^2/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
113,0,-1,279,0.000000,"\text{Not used}","int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int \frac{x}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(x/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
114,0,-1,247,0.000000,"\text{Not used}","int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2),x)","\int \frac{1}{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2), x)","F"
115,0,-1,248,0.000000,"\text{Not used}","int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)),x)","\int \frac{1}{x\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)), x)","F"
116,0,-1,95,0.000000,"\text{Not used}","int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)),x)","\int \frac{1}{x^2\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)), x)","F"
117,0,-1,136,0.000000,"\text{Not used}","int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)),x)","\int \frac{1}{x^3\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)), x)","F"
118,0,-1,165,0.000000,"\text{Not used}","int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)),x)","\int \frac{1}{x^4\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^4*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)), x)","F"
119,0,-1,194,0.000000,"\text{Not used}","int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)),x)","\int \frac{1}{x^5\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{5/2}} \,d x","Not used",1,"int(1/(x^5*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(5/2)), x)","F"
120,0,-1,28,0.000000,"\text{Not used}","int(x^m*((x + 1)/(1 - x^2)^(1/2))^(1/3),x)","\int x^m\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3} \,d x","Not used",1,"int(x^m*((x + 1)/(1 - x^2)^(1/2))^(1/3), x)","F"
121,0,-1,245,0.000000,"\text{Not used}","int(x^2*((x + 1)/(1 - x^2)^(1/2))^(1/3),x)","\int x^2\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3} \,d x","Not used",1,"int(x^2*((x + 1)/(1 - x^2)^(1/2))^(1/3), x)","F"
122,0,-1,224,0.000000,"\text{Not used}","int(x*((x + 1)/(1 - x^2)^(1/2))^(1/3),x)","\int x\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3} \,d x","Not used",1,"int(x*((x + 1)/(1 - x^2)^(1/2))^(1/3), x)","F"
123,0,-1,202,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(1/3),x)","\int {\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(1/3), x)","F"
124,0,-1,346,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3}}{x} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x, x)","F"
125,0,-1,194,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x^2,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3}}{x^2} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x^2, x)","F"
126,0,-1,224,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x^3,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{1/3}}{x^3} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(1/3)/x^3, x)","F"
127,0,-1,28,0.000000,"\text{Not used}","int(x^m*((x + 1)/(1 - x^2)^(1/2))^(2/3),x)","\int x^m\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3} \,d x","Not used",1,"int(x^m*((x + 1)/(1 - x^2)^(1/2))^(2/3), x)","F"
128,0,-1,133,0.000000,"\text{Not used}","int(x^2*((x + 1)/(1 - x^2)^(1/2))^(2/3),x)","\int x^2\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3} \,d x","Not used",1,"int(x^2*((x + 1)/(1 - x^2)^(1/2))^(2/3), x)","F"
129,0,-1,112,0.000000,"\text{Not used}","int(x*((x + 1)/(1 - x^2)^(1/2))^(2/3),x)","\int x\,{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3} \,d x","Not used",1,"int(x*((x + 1)/(1 - x^2)^(1/2))^(2/3), x)","F"
130,0,-1,84,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(2/3),x)","\int {\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(2/3), x)","F"
131,0,-1,135,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3}}{x} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x, x)","F"
132,0,-1,85,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x^2,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3}}{x^2} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x^2, x)","F"
133,0,-1,116,0.000000,"\text{Not used}","int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x^3,x)","\int \frac{{\left(\frac{x+1}{\sqrt{1-x^2}}\right)}^{2/3}}{x^3} \,d x","Not used",1,"int(((x + 1)/(1 - x^2)^(1/2))^(2/3)/x^3, x)","F"
134,0,-1,31,0.000000,"\text{Not used}","int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4),x)","\int x^m\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4} \,d x","Not used",1,"int(x^m*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4), x)","F"
135,0,-1,646,0.000000,"\text{Not used}","int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4),x)","\int x^2\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4} \,d x","Not used",1,"int(x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4), x)","F"
136,0,-1,619,0.000000,"\text{Not used}","int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4),x)","\int x\,{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4} \,d x","Not used",1,"int(x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4), x)","F"
137,0,-1,591,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4),x)","\int {\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4), x)","F"
138,0,-1,759,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4}}{x} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x, x)","F"
139,0,-1,271,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x^2,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4}}{x^2} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x^2, x)","F"
140,0,-1,312,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x^3,x)","\int \frac{{\left(\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}\right)}^{1/4}}{x^3} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/4)/x^3, x)","F"
141,0,-1,45,0.000000,"\text{Not used}","int((x^m*(a*x + 1)^4)/(a^2*x^2 - 1)^2,x)","\int \frac{x^m\,{\left(a\,x+1\right)}^4}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int((x^m*(a*x + 1)^4)/(a^2*x^2 - 1)^2, x)","F"
142,0,-1,151,0.000000,"\text{Not used}","int((x^m*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^m\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^m*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
143,0,-1,36,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^m\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^m*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
144,0,-1,74,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
145,0,-1,75,0.000000,"\text{Not used}","int((x^m*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^m\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^m*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
146,0,-1,37,0.000000,"\text{Not used}","int(-(x^m*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^m\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^m*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
147,0,-1,150,0.000000,"\text{Not used}","int((x^m*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^m\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^m*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
148,0,-1,35,0.000000,"\text{Not used}","int(x^m*exp(n*atanh(a*x)),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)} \,d x","Not used",1,"int(x^m*exp(n*atanh(a*x)), x)","F"
149,0,-1,155,0.000000,"\text{Not used}","int(x^3*exp(n*atanh(a*x)),x)","\int x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)} \,d x","Not used",1,"int(x^3*exp(n*atanh(a*x)), x)","F"
150,0,-1,141,0.000000,"\text{Not used}","int(x^2*exp(n*atanh(a*x)),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)} \,d x","Not used",1,"int(x^2*exp(n*atanh(a*x)), x)","F"
151,0,-1,99,0.000000,"\text{Not used}","int(x*exp(n*atanh(a*x)),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)} \,d x","Not used",1,"int(x*exp(n*atanh(a*x)), x)","F"
152,0,-1,65,0.000000,"\text{Not used}","int(exp(n*atanh(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)} \,d x","Not used",1,"int(exp(n*atanh(a*x)), x)","F"
153,0,-1,111,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x} \,d x","Not used",1,"int(exp(n*atanh(a*x))/x, x)","F"
154,0,-1,67,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))/x^2, x)","F"
155,0,-1,105,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/x^3,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^3} \,d x","Not used",1,"int(exp(n*atanh(a*x))/x^3, x)","F"
156,0,-1,147,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/x^4,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^4} \,d x","Not used",1,"int(exp(n*atanh(a*x))/x^4, x)","F"
157,0,-1,65,0.000000,"\text{Not used}","int(((c - a*c*x)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-a\,c\,x\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a*c*x)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
158,1,128,123,0.793944,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^4\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{7\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{17\,c^4\,\sqrt{1-a^2\,x^2}}{15\,a}-\frac{14\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{15}+\frac{3\,a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(c^4*x*(1 - a^2*x^2)^(1/2))/8 + (7*c^4*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (17*c^4*(1 - a^2*x^2)^(1/2))/(15*a) - (14*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/15 + (3*a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/4 - (a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/5","B"
159,1,105,91,0.039746,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,c^3\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{5\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{2\,c^3\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{2\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{3}+\frac{a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{4}","Not used",1,"(3*c^3*x*(1 - a^2*x^2)^(1/2))/8 + (5*c^3*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (2*c^3*(1 - a^2*x^2)^(1/2))/(3*a) - (2*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/3 + (a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/4","B"
160,1,82,61,0.043451,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(c^2*x*(1 - a^2*x^2)^(1/2))/2 + (c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) + (c^2*(1 - a^2*x^2)^(1/2))/(3*a) - (a*c^2*x^2*(1 - a^2*x^2)^(1/2))/3","B"
161,1,37,33,0.810136,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}","Not used",1,"(c*x*(1 - a^2*x^2)^(1/2))/2 + (c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
162,1,71,43,0.821195,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2))","B"
163,1,32,32,0.821721,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(a\,x+1\right)}{3\,a\,c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"((1 - a^2*x^2)^(1/2)*(a*x + 1))/(3*a*c^2*(a*x - 1)^2)","B"
164,1,183,65,0.832452,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}-\frac{\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2))) - (1 - a^2*x^2)^(1/2)/(15*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (a*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2))","B"
165,1,49,97,0.834861,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(2\,a^3\,x^3-8\,a^2\,x^2+13\,a\,x+23\right)}{105\,a\,c^4\,{\left(a\,x-1\right)}^4}","Not used",1,"((1 - a^2*x^2)^(1/2)*(13*a*x - 8*a^2*x^2 + 2*a^3*x^3 + 23))/(105*a*c^4*(a*x - 1)^4)","B"
166,1,57,129,0.865627,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^5),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(-2\,a^4\,x^4+10\,a^3\,x^3-21\,a^2\,x^2+25\,a\,x+58\right)}{315\,a\,c^5\,{\left(a\,x-1\right)}^5}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(25*a*x - 21*a^2*x^2 + 10*a^3*x^3 - 2*a^4*x^4 + 58))/(315*a*c^5*(a*x - 1)^5)","B"
167,1,29,41,0.842889,"\text{Not used}","int(-((c - a*c*x)^p*(a*x + 1)^2)/(a^2*x^2 - 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"
168,1,59,37,0.044325,"\text{Not used}","int(-((c - a*c*x)^5*(a*x + 1)^2)/(a^2*x^2 - 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,"c^5*x - (3*a*c^5*x^2)/2 + (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"
169,1,37,37,0.050174,"\text{Not used}","int(-((c - a*c*x)^4*(a*x + 1)^2)/(a^2*x^2 - 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,"c^4*x - a*c^4*x^2 + (a^3*c^4*x^4)/2 - (a^4*c^4*x^5)/5","B"
170,1,37,37,0.047733,"\text{Not used}","int(-((c - a*c*x)^3*(a*x + 1)^2)/(a^2*x^2 - 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,"c^3*x - (a*c^3*x^2)/2 - (a^2*c^3*x^3)/3 + (a^3*c^3*x^4)/4","B"
171,1,15,19,0.026639,"\text{Not used}","int(-((c - a*c*x)^2*(a*x + 1)^2)/(a^2*x^2 - 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"
172,1,9,13,0.023006,"\text{Not used}","int(-((c - a*c*x)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c\,x\,\left(a\,x+2\right)}{2}","Not used",1,"(c*x*(a*x + 2))/2","B"
173,1,28,31,0.803048,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)),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"
174,1,12,13,0.808249,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^2),x)","\frac{x}{c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"x/(c^2*(a*x - 1)^2)","B"
175,1,21,37,0.077756,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^3),x)","-\frac{3\,a\,x+1}{6\,a\,c^3\,{\left(a\,x-1\right)}^3}","Not used",1,"-(3*a*x + 1)/(6*a*c^3*(a*x - 1)^3)","B"
176,1,21,37,0.099380,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^4),x)","\frac{2\,a\,x+1}{6\,a\,c^4\,{\left(a\,x-1\right)}^4}","Not used",1,"(2*a*x + 1)/(6*a*c^4*(a*x - 1)^4)","B"
177,0,-1,65,0.000000,"\text{Not used}","int(((c - a*c*x)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-a\,c\,x\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
178,1,128,83,0.034610,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{5\,c^4\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{3\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{5\,a}-\frac{2\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{5}-\frac{a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{4}+\frac{a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(5*c^4*x*(1 - a^2*x^2)^(1/2))/8 + (3*c^4*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (c^4*(1 - a^2*x^2)^(1/2))/(5*a) - (2*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/5 - (a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/4 + (a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/5","B"
179,1,64,59,0.053087,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{5\,c^3\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{3\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}-\frac{a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{4}","Not used",1,"(5*c^3*x*(1 - a^2*x^2)^(1/2))/8 + (3*c^3*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) - (a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/4","B"
180,1,82,61,0.036892,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a}+\frac{a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(c^2*x*(1 - a^2*x^2)^(1/2))/2 + (c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) - (c^2*(1 - a^2*x^2)^(1/2))/(3*a) + (a*c^2*x^2*(1 - a^2*x^2)^(1/2))/3","B"
181,1,58,65,0.032573,"\text{Not used}","int(((c - a*c*x)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\frac{3\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2}+\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a\,c}{\sqrt{-a^2}}-\frac{c\,x\,\sqrt{-a^2}}{2}\right)}{\sqrt{-a^2}}","Not used",1,"((3*c*asinh(x*(-a^2)^(1/2)))/2 + (1 - a^2*x^2)^(1/2)*((2*a*c)/(-a^2)^(1/2) - (c*x*(-a^2)^(1/2))/2))/(-a^2)^(1/2)","B"
182,1,114,74,0.074787,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)),x)","-\frac{4\,a\,\sqrt{1-a^2\,x^2}+3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}-8\,a^2\,x\,\sqrt{1-a^2\,x^2}+3\,a^2\,x^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}-6\,a\,x\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{3\,a^2\,c\,{\left(a\,x-1\right)}^2}","Not used",1,"-(4*a*(1 - a^2*x^2)^(1/2) + 3*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2) - 8*a^2*x*(1 - a^2*x^2)^(1/2) + 3*a^2*x^2*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2) - 6*a*x*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(3*a^2*c*(a*x - 1)^2)","B"
183,1,34,32,0.081074,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^2),x)","-\frac{\sqrt{1-a^2\,x^2}\,{\left(a\,x+1\right)}^2}{5\,a\,c^2\,{\left(a\,x-1\right)}^3}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(a*x + 1)^2)/(5*a*c^2*(a*x - 1)^3)","B"
184,1,299,65,0.805174,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^3),x)","\frac{8\,a^3\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^3\,x^2-2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{5\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{4\,a\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^3\,x^4-4\,a^5\,c^3\,x^3+6\,a^4\,c^3\,x^2-4\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{16\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(8*a^3*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^3 - 2*a^5*c^3*x + a^6*c^3*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(5*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (4*a*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^3 - 4*a^3*c^3*x + 6*a^4*c^3*x^2 - 4*a^5*c^3*x^3 + a^6*c^3*x^4)) + (1 - a^2*x^2)^(1/2)/(35*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (16*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
185,1,492,97,0.848544,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^4),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{12\,a^4}{35\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}-\frac{8\,a^4}{35\,c^4\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}+\frac{4\,a^5}{7\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4\,\sqrt{-a^2}}+\frac{8\,a^7}{35\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,{\left(-a^2\right)}^{3/2}}\right)}{a^4\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{32\,a^5}{315\,c^4\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{16\,a^5}{105\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{4\,a^5}{9\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^5}-\frac{16\,a^2\,{\left(-a^2\right)}^{3/2}}{63\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4}+\frac{32\,a^6}{315\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^5\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a^3}{15\,c^4\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{a^3}{5\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{2\,a^4}{15\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^3\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((12*a^4)/(35*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) - (8*a^4)/(35*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) + (4*a^5)/(7*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4*(-a^2)^(1/2)) + (8*a^7)/(35*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(3/2))))/(a^4*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*((32*a^5)/(315*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - (16*a^5)/(105*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (4*a^5)/(9*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^5) - (16*a^2*(-a^2)^(3/2))/(63*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4) + (32*a^6)/(315*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^5*(-a^2)^(1/2)) + ((1 - a^2*x^2)^(1/2)*((2*a^3)/(15*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - a^3/(5*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (2*a^4)/(15*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^3*(-a^2)^(1/2))","B"
186,1,604,129,0.869820,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^5),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{32\,a^6}{693\,c^5\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{16\,a^6}{231\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{20\,a^6}{99\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^5}+\frac{4\,a^7}{11\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^6\,\sqrt{-a^2}}+\frac{80\,a^9}{693\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4\,{\left(-a^2\right)}^{3/2}}+\frac{32\,a^{11}}{693\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,{\left(-a^2\right)}^{5/2}}\right)}{a^6\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{32\,a^5}{315\,c^5\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{16\,a^5}{105\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{4\,a^5}{9\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^5}-\frac{16\,a^2\,{\left(-a^2\right)}^{3/2}}{63\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4}+\frac{32\,a^6}{315\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^5\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{3\,a^4}{35\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}-\frac{2\,a^4}{35\,c^5\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}+\frac{a^5}{7\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4\,\sqrt{-a^2}}+\frac{2\,a^7}{35\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,{\left(-a^2\right)}^{3/2}}\right)}{a^4\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((32*a^6)/(693*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - (16*a^6)/(231*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (20*a^6)/(99*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^5) + (4*a^7)/(11*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^6*(-a^2)^(1/2)) + (80*a^9)/(693*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4*(-a^2)^(3/2)) + (32*a^11)/(693*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(5/2))))/(a^6*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*((32*a^5)/(315*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - (16*a^5)/(105*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (4*a^5)/(9*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^5) - (16*a^2*(-a^2)^(3/2))/(63*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4) + (32*a^6)/(315*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^5*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*((3*a^4)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) - (2*a^4)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) + a^5/(7*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4*(-a^2)^(1/2)) + (2*a^7)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(3/2))))/(a^4*(-a^2)^(1/2))","B"
187,1,57,66,0.939500,"\text{Not used}","int(((c - a*c*x)^p*(a*x + 1)^4)/(a^2*x^2 - 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"
188,1,59,53,0.794680,"\text{Not used}","int(((c - a*c*x)^5*(a*x + 1)^4)/(a^2*x^2 - 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"
189,1,24,32,0.797765,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1)^4)/(a^2*x^2 - 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"
190,1,37,35,0.049369,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1)^4)/(a^2*x^2 - 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"
191,1,19,17,0.036003,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1)^4)/(a^2*x^2 - 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"
192,1,26,27,0.043895,"\text{Not used}","int(((c - a*c*x)*(a*x + 1)^4)/(a^2*x^2 - 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"
193,1,42,48,0.065499,"\text{Not used}","int((a*x + 1)^4/((a^2*x^2 - 1)^2*(c - a*c*x)),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"
194,1,25,25,0.077543,"\text{Not used}","int((a*x + 1)^4/((a^2*x^2 - 1)^2*(c - a*c*x)^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"
195,1,29,52,0.853446,"\text{Not used}","int((a*x + 1)^4/((a^2*x^2 - 1)^2*(c - a*c*x)^3),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"
196,1,29,53,0.877510,"\text{Not used}","int((a*x + 1)^4/((a^2*x^2 - 1)^2*(c - a*c*x)^4),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,-1,65,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^p)/(a*x + 1),x)","\int \frac{\sqrt{1-a^2\,x^2}\,{\left(c-a\,c\,x\right)}^p}{a\,x+1} \,d x","Not used",1,"int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^p)/(a*x + 1), x)","F"
198,1,105,133,0.033420,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3)/(a*x + 1),x)","\frac{35\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}-\frac{27\,c^3\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{20\,c^3\,\sqrt{1-a^2\,x^2}}{3\,a}+\frac{4\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{3}-\frac{a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{4}","Not used",1,"(35*c^3*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) - (27*c^3*x*(1 - a^2*x^2)^(1/2))/8 + (20*c^3*(1 - a^2*x^2)^(1/2))/(3*a) + (4*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/3 - (a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/4","B"
199,1,82,101,0.036951,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2)/(a*x + 1),x)","\frac{5\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-\frac{3\,c^2\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{11\,c^2\,\sqrt{1-a^2\,x^2}}{3\,a}+\frac{a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(5*c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) - (3*c^2*x*(1 - a^2*x^2)^(1/2))/2 + (11*c^2*(1 - a^2*x^2)^(1/2))/(3*a) + (a*c^2*x^2*(1 - a^2*x^2)^(1/2))/3","B"
200,1,59,63,0.799831,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x))/(a*x + 1),x)","\frac{\frac{3\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2}-\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a\,c}{\sqrt{-a^2}}+\frac{c\,x\,\sqrt{-a^2}}{2}\right)}{\sqrt{-a^2}}","Not used",1,"((3*c*asinh(x*(-a^2)^(1/2)))/2 - (1 - a^2*x^2)^(1/2)*((2*a*c)/(-a^2)^(1/2) + (c*x*(-a^2)^(1/2))/2))/(-a^2)^(1/2)","B"
201,1,21,11,0.037012,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)*(a*x + 1)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2))","B"
202,1,47,29,0.044866,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^2*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}}{c^2\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(c^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
203,1,32,65,0.055712,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^3*(a*x + 1)),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(a\,x-2\right)}{3\,a\,c^3\,{\left(a\,x-1\right)}^2}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(a*x - 2))/(3*a*c^3*(a*x - 1)^2)","B"
204,1,127,97,0.059535,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^4*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a^3}{15\,c^4\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{a^3}{5\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{2\,a^4}{15\,c^4\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^3\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((2*a^3)/(15*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - a^3/(5*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (2*a^4)/(15*c^4*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^3*(-a^2)^(1/2))","B"
205,1,167,129,0.801153,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^5*(a*x + 1)),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{3\,a^4}{35\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}-\frac{2\,a^4}{35\,c^5\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}+\frac{a^5}{7\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^4\,\sqrt{-a^2}}+\frac{2\,a^7}{35\,c^5\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,{\left(-a^2\right)}^{3/2}}\right)}{a^4\,\sqrt{-a^2}}","Not used",1,"-((1 - a^2*x^2)^(1/2)*((3*a^4)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) - (2*a^4)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) + a^5/(7*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^4*(-a^2)^(1/2)) + (2*a^7)/(35*c^5*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(3/2))))/(a^4*(-a^2)^(1/2))","B"
206,0,-1,44,0.000000,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^p)/(a*x + 1)^2,x)","-\int \frac{\left(a^2\,x^2-1\right)\,{\left(c-a\,c\,x\right)}^p}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((a^2*x^2 - 1)*(c - a*c*x)^p)/(a*x + 1)^2, x)","F"
207,1,63,91,0.051698,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^4)/(a*x + 1)^2,x)","13\,a\,c^4\,x^2-31\,c^4\,x-\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,"13*a*c^4*x^2 - 31*c^4*x - (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"
208,1,52,73,0.786464,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^3)/(a*x + 1)^2,x)","\frac{11\,a\,c^3\,x^2}{2}-15\,c^3\,x-\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,"(11*a*c^3*x^2)/2 - 15*c^3*x - (5*a^2*c^3*x^3)/3 + (a^3*c^3*x^4)/4 + (16*c^3*log(a*x + 1))/a","B"
209,1,41,54,0.048716,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^2)/(a*x + 1)^2,x)","2\,a\,c^2\,x^2-7\,c^2\,x-\frac{a^2\,c^2\,x^3}{3}+\frac{8\,c^2\,\ln\left(a\,x+1\right)}{a}","Not used",1,"2*a*c^2*x^2 - 7*c^2*x - (a^2*c^2*x^3)/3 + (8*c^2*log(a*x + 1))/a","B"
210,1,26,26,0.040547,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x))/(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"
211,1,13,13,0.033004,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)*(a*x + 1)^2),x)","\frac{\ln\left(a\,x+1\right)}{a\,c}","Not used",1,"log(a*x + 1)/(a*c)","B"
212,1,11,11,0.069567,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^2*(a*x + 1)^2),x)","\frac{\mathrm{atanh}\left(a\,x\right)}{a\,c^2}","Not used",1,"atanh(a*x)/(a*c^2)","B"
213,1,31,33,0.066625,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^3*(a*x + 1)^2),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"
214,1,47,51,0.818122,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^4*(a*x + 1)^2),x)","\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^4}-\frac{\frac{x}{4}-\frac{1}{2\,a}}{a^2\,c^4\,x^2-2\,a\,c^4\,x+c^4}","Not used",1,"atanh(a*x)/(4*a*c^4) - (x/4 - 1/(2*a))/(c^4 + a^2*c^4*x^2 - 2*a*c^4*x)","B"
215,1,64,69,0.826157,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^5*(a*x + 1)^2),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,-1,65,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^p)/(a*x + 1)^3,x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,{\left(c-a\,c\,x\right)}^p}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^p)/(a*x + 1)^3, x)","F"
217,1,166,163,0.824514,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^3)/(a*x + 1)^3,x)","\frac{32\,c^3\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{315\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{4\,a^3\,c^3}{{\left(-a^2\right)}^{3/2}}-\frac{67\,c^3\,x\,\sqrt{-a^2}}{8}-\frac{26\,a\,c^3}{\sqrt{-a^2}}+\frac{c^3\,x^3\,{\left(-a^2\right)}^{3/2}}{4}+\frac{2\,a^5\,c^3\,x^2}{{\left(-a^2\right)}^{3/2}}\right)}{\sqrt{-a^2}}","Not used",1,"(32*c^3*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (315*c^3*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*((4*a^3*c^3)/(-a^2)^(3/2) - (67*c^3*x*(-a^2)^(1/2))/8 - (26*a*c^3)/(-a^2)^(1/2) + (c^3*x^3*(-a^2)^(3/2))/4 + (2*a^5*c^3*x^2)/(-a^2)^(3/2)))/(-a^2)^(1/2)","B"
218,1,150,131,0.057352,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^2)/(a*x + 1)^3,x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{11\,a\,c^2}{\sqrt{-a^2}}+\frac{5\,c^2\,x\,\sqrt{-a^2}}{2}-\frac{2\,a^3\,c^2}{3\,{\left(-a^2\right)}^{3/2}}-\frac{a^5\,c^2\,x^2}{3\,{\left(-a^2\right)}^{3/2}}\right)}{\sqrt{-a^2}}-\frac{35\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}+\frac{16\,c^2\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((11*a*c^2)/(-a^2)^(1/2) + (5*c^2*x*(-a^2)^(1/2))/2 - (2*a^3*c^2)/(3*(-a^2)^(3/2)) - (a^5*c^2*x^2)/(3*(-a^2)^(3/2))))/(-a^2)^(1/2) - (35*c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) + (16*c^2*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
219,1,96,91,0.803353,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x))/(a*x + 1)^3,x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{4\,a\,c}{\sqrt{-a^2}}+\frac{c\,x\,\sqrt{-a^2}}{2}\right)-\frac{15\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2}+\frac{8\,c\,\sqrt{1-a^2\,x^2}}{x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}}}{\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((4*a*c)/(-a^2)^(1/2) + (c*x*(-a^2)^(1/2))/2) - (15*c*asinh(x*(-a^2)^(1/2)))/2 + (8*c*(1 - a^2*x^2)^(1/2))/(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a))/(-a^2)^(1/2)","B"
220,1,70,41,0.050239,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)*(a*x + 1)^3),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2))","B"
221,1,46,28,0.034472,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^2*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}}{c^2\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(c^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
222,1,17,19,0.071161,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^3*(a*x + 1)^3),x)","\frac{x}{c^3\,\sqrt{1-a^2\,x^2}}","Not used",1,"x/(c^3*(1 - a^2*x^2)^(1/2))","B"
223,1,48,55,0.827374,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^4*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(-2\,a^2\,x^2+2\,a\,x+1\right)}{3\,a\,c^4\,{\left(a\,x-1\right)}^2\,\left(a\,x+1\right)}","Not used",1,"((1 - a^2*x^2)^(1/2)*(2*a*x - 2*a^2*x^2 + 1))/(3*a*c^4*(a*x - 1)^2*(a*x + 1))","B"
224,1,233,87,0.827630,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^5*(a*x + 1)^3),x)","\frac{3\,a\,\sqrt{1-a^2\,x^2}}{20\,\left(a^4\,c^5\,x^2-2\,a^3\,c^5\,x+a^2\,c^5\right)}+\frac{\sqrt{1-a^2\,x^2}}{8\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}+\frac{c^5\,\sqrt{-a^2}}{a}\right)}+\frac{11\,\sqrt{1-a^2\,x^2}}{40\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{10\,\sqrt{-a^2}\,\left(3\,c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}+a^2\,c^5\,x^3\,\sqrt{-a^2}-3\,a\,c^5\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(3*a*(1 - a^2*x^2)^(1/2))/(20*(a^2*c^5 - 2*a^3*c^5*x + a^4*c^5*x^2)) + (1 - a^2*x^2)^(1/2)/(8*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) + (c^5*(-a^2)^(1/2))/a)) + (11*(1 - a^2*x^2)^(1/2))/(40*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(10*(-a^2)^(1/2)*(3*c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a + a^2*c^5*x^3*(-a^2)^(1/2) - 3*a*c^5*x^2*(-a^2)^(1/2)))","B"
225,1,347,119,0.822356,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^6*(a*x + 1)^3),x)","\frac{3\,a\,\sqrt{1-a^2\,x^2}}{40\,\left(a^4\,c^6\,x^2-2\,a^3\,c^6\,x+a^2\,c^6\right)}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^6\,x^2-2\,a^5\,c^6\,x+a^4\,c^6\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{14\,\left(a^6\,c^6\,x^4-4\,a^5\,c^6\,x^3+6\,a^4\,c^6\,x^2-4\,a^3\,c^6\,x+a^2\,c^6\right)}+\frac{\sqrt{1-a^2\,x^2}}{16\,\sqrt{-a^2}\,\left(c^6\,x\,\sqrt{-a^2}+\frac{c^6\,\sqrt{-a^2}}{a}\right)}+\frac{93\,\sqrt{1-a^2\,x^2}}{560\,\sqrt{-a^2}\,\left(c^6\,x\,\sqrt{-a^2}-\frac{c^6\,\sqrt{-a^2}}{a}\right)}+\frac{13\,\sqrt{1-a^2\,x^2}}{140\,\sqrt{-a^2}\,\left(3\,c^6\,x\,\sqrt{-a^2}-\frac{c^6\,\sqrt{-a^2}}{a}+a^2\,c^6\,x^3\,\sqrt{-a^2}-3\,a\,c^6\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(3*a*(1 - a^2*x^2)^(1/2))/(40*(a^2*c^6 - 2*a^3*c^6*x + a^4*c^6*x^2)) + (a^3*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^6 - 2*a^5*c^6*x + a^6*c^6*x^2)) + (a*(1 - a^2*x^2)^(1/2))/(14*(a^2*c^6 - 4*a^3*c^6*x + 6*a^4*c^6*x^2 - 4*a^5*c^6*x^3 + a^6*c^6*x^4)) + (1 - a^2*x^2)^(1/2)/(16*(-a^2)^(1/2)*(c^6*x*(-a^2)^(1/2) + (c^6*(-a^2)^(1/2))/a)) + (93*(1 - a^2*x^2)^(1/2))/(560*(-a^2)^(1/2)*(c^6*x*(-a^2)^(1/2) - (c^6*(-a^2)^(1/2))/a)) + (13*(1 - a^2*x^2)^(1/2))/(140*(-a^2)^(1/2)*(3*c^6*x*(-a^2)^(1/2) - (c^6*(-a^2)^(1/2))/a + a^2*c^6*x^3*(-a^2)^(1/2) - 3*a*c^6*x^2*(-a^2)^(1/2)))","B"
226,1,90,176,1.116964,"\text{Not used}","int(((c - a*c*x)^(9/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{8884\,c^4\,x}{3465}+\frac{10838\,c^4}{3465\,a}-\frac{5686\,a\,c^4\,x^2}{3465}+\frac{1688\,a^2\,c^4\,x^3}{3465}+\frac{482\,a^3\,c^4\,x^4}{693}-\frac{68\,a^4\,c^4\,x^5}{99}+\frac{2\,a^5\,c^4\,x^6}{11}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((8884*c^4*x)/3465 + (10838*c^4)/(3465*a) - (5686*a*c^4*x^2)/3465 + (1688*a^2*c^4*x^3)/3465 + (482*a^3*c^4*x^4)/693 - (68*a^4*c^4*x^5)/99 + (2*a^5*c^4*x^6)/11))/(1 - a^2*x^2)^(1/2)","B"
227,1,79,141,0.987897,"\text{Not used}","int(((c - a*c*x)^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{634\,c^3\,x}{315}+\frac{638\,c^3}{315\,a}-\frac{316\,a\,c^3\,x^2}{315}-\frac{52\,a^2\,c^3\,x^3}{315}+\frac{38\,a^3\,c^3\,x^4}{63}-\frac{2\,a^4\,c^3\,x^5}{9}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((634*c^3*x)/315 + (638*c^3)/(315*a) - (316*a*c^3*x^2)/315 - (52*a^2*c^3*x^3)/315 + (38*a^3*c^3*x^4)/63 - (2*a^4*c^3*x^5)/9))/(1 - a^2*x^2)^(1/2)","B"
228,1,68,106,0.951469,"\text{Not used}","int(((c - a*c*x)^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{176\,c^2\,x}{105}+\frac{142\,c^2}{105\,a}-\frac{44\,a\,c^2\,x^2}{105}-\frac{16\,a^2\,c^2\,x^3}{35}+\frac{2\,a^3\,c^2\,x^4}{7}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((176*c^2*x)/105 + (142*c^2)/(105*a) - (44*a*c^2*x^2)/105 - (16*a^2*c^2*x^3)/35 + (2*a^3*c^2*x^4)/7))/(1 - a^2*x^2)^(1/2)","B"
229,1,49,71,0.932167,"\text{Not used}","int(((c - a*c*x)^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{22\,c\,x}{15}+\frac{14\,c}{15\,a}-\frac{2\,a^2\,c\,x^3}{5}+\frac{2\,a\,c\,x^2}{15}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((22*c*x)/15 + (14*c)/(15*a) - (2*a^2*c*x^3)/5 + (2*a*c*x^2)/15))/(1 - a^2*x^2)^(1/2)","B"
230,1,37,35,0.865641,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{4\,x}{3}+\frac{2\,a\,x^2}{3}+\frac{2}{3\,a}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((4*x)/3 + (2*a*x^2)/3 + 2/(3*a)))/(1 - a^2*x^2)^(1/2)","B"
231,0,-1,83,0.000000,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)),x)","\int \frac{a\,x+1}{\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}} \,d x","Not used",1,"int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)), x)","F"
232,0,-1,82,0.000000,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(3/2)),x)","\int \frac{a\,x+1}{\sqrt{1-a^2\,x^2}\,{\left(c-a\,c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(3/2)), x)","F"
233,0,-1,122,0.000000,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(5/2)),x)","\int \frac{a\,x+1}{\sqrt{1-a^2\,x^2}\,{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(5/2)), x)","F"
234,0,-1,157,0.000000,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(7/2)),x)","\int \frac{a\,x+1}{\sqrt{1-a^2\,x^2}\,{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(7/2)), x)","F"
235,1,32,40,0.038987,"\text{Not used}","int(-((c - a*c*x)^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{9/2}}{9\,a\,c}-\frac{4\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a}","Not used",1,"(2*(c - a*c*x)^(9/2))/(9*a*c) - (4*(c - a*c*x)^(7/2))/(7*a)","B"
236,1,32,40,0.769249,"\text{Not used}","int(-((c - a*c*x)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a\,c}-\frac{4\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a}","Not used",1,"(2*(c - a*c*x)^(7/2))/(7*a*c) - (4*(c - a*c*x)^(5/2))/(5*a)","B"
237,1,32,40,0.033239,"\text{Not used}","int(-((c - a*c*x)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{5/2}}{5\,a\,c}-\frac{4\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a}","Not used",1,"(2*(c - a*c*x)^(5/2))/(5*a*c) - (4*(c - a*c*x)^(3/2))/(3*a)","B"
238,1,32,38,0.029990,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a}","Not used",1,"(2*(c - a*c*x)^(3/2))/(3*a*c) - (4*(c - a*c*x)^(1/2))/a","B"
239,1,20,36,0.035008,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^(1/2)),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"
240,1,20,38,0.778212,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^(3/2)),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"
241,1,20,40,0.778921,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^(5/2)),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"
242,1,20,40,0.775398,"\text{Not used}","int(-(a*x + 1)^2/((a^2*x^2 - 1)*(c - a*c*x)^(7/2)),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"
243,1,90,141,1.021933,"\text{Not used}","int(((c - a*c*x)^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{1688\,c^4\,x}{1155}+\frac{1066\,c^4}{1155\,a}-\frac{422\,a\,c^4\,x^2}{1155}-\frac{944\,a^2\,c^4\,x^3}{1155}+\frac{118\,a^3\,c^4\,x^4}{231}+\frac{8\,a^4\,c^4\,x^5}{33}-\frac{2\,a^5\,c^4\,x^6}{11}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((1688*c^4*x)/1155 + (1066*c^4)/(1155*a) - (422*a*c^4*x^2)/1155 - (944*a^2*c^4*x^3)/1155 + (118*a^3*c^4*x^4)/231 + (8*a^4*c^4*x^5)/33 - (2*a^5*c^4*x^6)/11))/(1 - a^2*x^2)^(1/2)","B"
244,1,79,106,0.976084,"\text{Not used}","int(((c - a*c*x)^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{422\,c^3\,x}{315}+\frac{214\,c^3}{315\,a}+\frac{52\,a\,c^3\,x^2}{315}-\frac{236\,a^2\,c^3\,x^3}{315}-\frac{2\,a^3\,c^3\,x^4}{63}+\frac{2\,a^4\,c^3\,x^5}{9}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((422*c^3*x)/315 + (214*c^3)/(315*a) + (52*a*c^3*x^2)/315 - (236*a^2*c^3*x^3)/315 - (2*a^3*c^3*x^4)/63 + (2*a^4*c^3*x^5)/9))/(1 - a^2*x^2)^(1/2)","B"
245,1,68,71,0.967000,"\text{Not used}","int(((c - a*c*x)^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{44\,c^2\,x}{35}+\frac{18\,c^2}{35\,a}+\frac{24\,a\,c^2\,x^2}{35}-\frac{12\,a^2\,c^2\,x^3}{35}-\frac{2\,a^3\,c^2\,x^4}{7}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((44*c^2*x)/35 + (18*c^2)/(35*a) + (24*a*c^2*x^2)/35 - (12*a^2*c^2*x^3)/35 - (2*a^3*c^2*x^4)/7))/(1 - a^2*x^2)^(1/2)","B"
246,1,49,35,0.920436,"\text{Not used}","int(((c - a*c*x)^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{6\,c\,x}{5}+\frac{2\,c}{5\,a}+\frac{2\,a^2\,c\,x^3}{5}+\frac{6\,a\,c\,x^2}{5}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((6*c*x)/5 + (2*c)/(5*a) + (2*a^2*c*x^3)/5 + (6*a*c*x^2)/5))/(1 - a^2*x^2)^(1/2)","B"
247,0,-1,119,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
248,0,-1,115,0.000000,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}} \,d x","Not used",1,"int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2)), x)","F"
249,0,-1,122,0.000000,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}\,{\left(c-a\,c\,x\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(3/2)), x)","F"
250,0,-1,157,0.000000,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(5/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}\,{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(5/2)), x)","F"
251,0,-1,192,0.000000,"\text{Not used}","int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(7/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}\,{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int((a*x + 1)^3/((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(7/2)), x)","F"
252,1,96,206,1.038766,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(9/2))/(a*x + 1),x)","\frac{2\,c^4\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(63\,a^4\,x^4-392\,a^3\,x^3+1118\,a^2\,x^2-2080\,a\,x+3339\right)}{693\,a}-\frac{16384\,c^4\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{693\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(1118*a^2*x^2 - 2080*a*x - 392*a^3*x^3 + 63*a^4*x^4 + 3339))/(693*a) - (16384*c^4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(693*a*(a*x - 1))","B"
253,1,88,171,1.015108,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(7/2))/(a*x + 1),x)","-\frac{4096\,c^3\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{315\,a\,\left(a\,x-1\right)}-\frac{2\,c^3\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(35\,a^3\,x^3-185\,a^2\,x^2+457\,a\,x-819\right)}{315\,a}","Not used",1,"- (4096*c^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(315*a*(a*x - 1)) - (2*c^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(457*a*x - 185*a^2*x^2 + 35*a^3*x^3 - 819))/(315*a)","B"
254,1,80,136,0.988189,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(5/2))/(a*x + 1),x)","\frac{2\,c^2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(5\,a^2\,x^2-22\,a\,x+49\right)}{35\,a}-\frac{256\,c^2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{35\,a\,\left(a\,x-1\right)}","Not used",1,"(2*c^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(5*a^2*x^2 - 22*a*x + 49))/(35*a) - (256*c^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(35*a*(a*x - 1))","B"
255,1,76,101,0.944604,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(3/2))/(a*x + 1),x)","-\frac{\sqrt{c-a\,c\,x}\,\left(\frac{86\,c\,\sqrt{1-a^2\,x^2}}{15\,a^2}+\frac{2\,c\,x^2\,\sqrt{1-a^2\,x^2}}{5}-\frac{28\,c\,x\,\sqrt{1-a^2\,x^2}}{15\,a}\right)}{x-\frac{1}{a}}","Not used",1,"-((c - a*c*x)^(1/2)*((86*c*(1 - a^2*x^2)^(1/2))/(15*a^2) + (2*c*x^2*(1 - a^2*x^2)^(1/2))/5 - (28*c*x*(1 - a^2*x^2)^(1/2))/(15*a)))/(x - 1/a)","B"
256,1,56,66,0.874344,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1),x)","-\frac{\sqrt{c-a\,c\,x}\,\left(\frac{10\,\sqrt{1-a^2\,x^2}}{3\,a^2}-\frac{2\,x\,\sqrt{1-a^2\,x^2}}{3\,a}\right)}{x-\frac{1}{a}}","Not used",1,"-((c - a*c*x)^(1/2)*((10*(1 - a^2*x^2)^(1/2))/(3*a^2) - (2*x*(1 - a^2*x^2)^(1/2))/(3*a)))/(x - 1/a)","B"
257,1,26,30,0.959940,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(1/2)*(a*x + 1)),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{a\,\sqrt{c-a\,c\,x}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(a*(c - a*c*x)^(1/2))","B"
258,0,-1,51,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(3/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a\,c\,x\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(3/2)*(a*x + 1)), x)","F"
259,0,-1,90,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(5/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a\,c\,x\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(5/2)*(a*x + 1)), x)","F"
260,0,-1,125,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(7/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a\,c\,x\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a*c*x)^(7/2)*(a*x + 1)), x)","F"
261,1,112,137,0.844460,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(7/2))/(a*x + 1)^2,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"
262,1,95,116,0.064811,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(5/2))/(a*x + 1)^2,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"
263,1,78,95,0.083402,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(3/2))/(a*x + 1)^2,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"
264,1,61,76,0.067756,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(a*x + 1)^2,x)","\frac{4\,\sqrt{c-a\,c\,x}}{a}+\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a}","Not used",1,"(4*(c - a*c*x)^(1/2))/a + (2*(c - a*c*x)^(3/2))/(3*a*c) - (4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/a","B"
265,1,47,58,0.072871,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^(1/2)*(a*x + 1)^2),x)","\frac{2\,\sqrt{c-a\,c\,x}}{a\,c}-\frac{2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a\,\sqrt{c}}","Not used",1,"(2*(c - a*c*x)^(1/2))/(a*c) - (2*2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(a*c^(1/2))","B"
266,1,29,38,0.822669,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^(3/2)*(a*x + 1)^2),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"
267,1,46,57,0.087680,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^(5/2)*(a*x + 1)^2),x)","\frac{1}{a\,c^2\,\sqrt{c-a\,c\,x}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{2\,a\,c^{5/2}}","Not used",1,"1/(a*c^2*(c - a*c*x)^(1/2)) - (2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(2*a*c^(5/2))","B"
268,1,64,83,0.835494,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^(7/2)*(a*x + 1)^2),x)","\frac{\frac{c-a\,c\,x}{2\,c^2}+\frac{1}{3\,c}}{a\,c\,{\left(c-a\,c\,x\right)}^{3/2}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{4\,a\,c^{7/2}}","Not used",1,"((c - a*c*x)/(2*c^2) + 1/(3*c))/(a*c*(c - a*c*x)^(3/2)) - (2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(4*a*c^(7/2))","B"
269,1,78,104,0.094381,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a*c*x)^(9/2)*(a*x + 1)^2),x)","\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}}-\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{8\,a\,c^{9/2}}","Not used",1,"((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)) - (2^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/(8*a*c^(9/2))","B"
270,1,116,171,1.098194,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(5/2))/(a*x + 1)^3,x)","\frac{2048\,c^2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{35\,a\,\left(a\,x-1\right)}-\frac{16\,c^2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{a\,\left(a\,x+1\right)}-\frac{2\,c^2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(5\,a^2\,x^2-36\,a\,x+147\right)}{35\,a}","Not used",1,"(2048*c^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(35*a*(a*x - 1)) - (16*c^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*(a*x + 1)) - (2*c^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(5*a^2*x^2 - 36*a*x + 147))/(35*a)","B"
271,1,99,136,0.992591,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(3/2))/(a*x + 1)^3,x)","-\frac{\sqrt{c-a\,c\,x}\,\left(\frac{182\,c\,\sqrt{1-a^2\,x^2}}{5\,a^3}+\frac{2\,c\,x^3\,\sqrt{1-a^2\,x^2}}{5}-\frac{14\,c\,x^2\,\sqrt{1-a^2\,x^2}}{5\,a}+\frac{86\,c\,x\,\sqrt{1-a^2\,x^2}}{5\,a^2}\right)}{\frac{1}{a^2}-x^2}","Not used",1,"-((c - a*c*x)^(1/2)*((182*c*(1 - a^2*x^2)^(1/2))/(5*a^3) + (2*c*x^3*(1 - a^2*x^2)^(1/2))/5 - (14*c*x^2*(1 - a^2*x^2)^(1/2))/(5*a) + (86*c*x*(1 - a^2*x^2)^(1/2))/(5*a^2)))/(1/a^2 - x^2)","B"
272,1,40,103,0.968853,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(a*x + 1)^3,x)","-\frac{2\,\sqrt{c-a\,c\,x}\,\left(-a^2\,x^2+10\,a\,x+23\right)}{3\,a\,\sqrt{1-a^2\,x^2}}","Not used",1,"-(2*(c - a*c*x)^(1/2)*(10*a*x - a^2*x^2 + 23))/(3*a*(1 - a^2*x^2)^(1/2))","B"
273,1,64,67,0.960418,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(1/2)*(a*x + 1)^3),x)","-\frac{\left(\frac{6\,\sqrt{1-a^2\,x^2}}{a^3\,c}+\frac{2\,x\,\sqrt{1-a^2\,x^2}}{a^2\,c}\right)\,\sqrt{c-a\,c\,x}}{\frac{1}{a^2}-x^2}","Not used",1,"-(((6*(1 - a^2*x^2)^(1/2))/(a^3*c) + (2*x*(1 - a^2*x^2)^(1/2))/(a^2*c))*(c - a*c*x)^(1/2))/(1/a^2 - x^2)","B"
274,1,43,33,1.017464,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(3/2)*(a*x + 1)^3),x)","-\frac{2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{a\,\left(c^2-a^2\,c^2\,x^2\right)}","Not used",1,"-(2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*(c^2 - a^2*c^2*x^2))","B"
275,0,-1,85,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(5/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-a\,c\,x\right)}^{5/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(5/2)*(a*x + 1)^3), x)","F"
276,0,-1,125,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(7/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-a\,c\,x\right)}^{7/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(7/2)*(a*x + 1)^3), x)","F"
277,0,-1,160,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(9/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-a\,c\,x\right)}^{9/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a*c*x)^(9/2)*(a*x + 1)^3), x)","F"
278,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^(7/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{7/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^(7/2), x)","F"
279,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^(5/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{5/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^(5/2), x)","F"
280,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^{3/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^(3/2), x)","F"
281,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a\,c\,x} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^(1/2), x)","F"
282,0,-1,81,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-a\,c\,x}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a*c*x)^(1/2), x)","F"
283,0,-1,78,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^(3/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a*c*x)^(3/2), x)","F"
284,0,-1,78,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^(5/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a*c*x)^(5/2), x)","F"
285,0,-1,78,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^(7/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a\,c\,x\right)}^{7/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a*c*x)^(7/2), x)","F"
286,1,82,83,0.781192,"\text{Not used}","int((x^4*(c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,x^5\,\sqrt{1-a^2\,x^2}}{6}-\frac{c\,x^3\,\sqrt{1-a^2\,x^2}}{24\,a^2}-\frac{c\,x\,\sqrt{1-a^2\,x^2}}{16\,a^4}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a^4\,\sqrt{-a^2}}","Not used",1,"(c*x^5*(1 - a^2*x^2)^(1/2))/6 - (c*x^3*(1 - a^2*x^2)^(1/2))/(24*a^2) - (c*x*(1 - a^2*x^2)^(1/2))/(16*a^4) + (c*asinh(x*(-a^2)^(1/2)))/(16*a^4*(-a^2)^(1/2))","B"
287,1,36,45,0.035553,"\text{Not used}","int((x^3*(c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","-\frac{5\,c\,{\left(1-a^2\,x^2\right)}^{3/2}-3\,c\,{\left(1-a^2\,x^2\right)}^{5/2}}{15\,a^4}","Not used",1,"-(5*c*(1 - a^2*x^2)^(3/2) - 3*c*(1 - a^2*x^2)^(5/2))/(15*a^4)","B"
288,1,61,58,0.783815,"\text{Not used}","int((x^2*(c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{c\,x\,\sqrt{1-a^2\,x^2}}{8\,a^2}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^2\,\sqrt{-a^2}}","Not used",1,"(c*x^3*(1 - a^2*x^2)^(1/2))/4 - (c*x*(1 - a^2*x^2)^(1/2))/(8*a^2) + (c*asinh(x*(-a^2)^(1/2)))/(8*a^2*(-a^2)^(1/2))","B"
289,1,18,22,0.030728,"\text{Not used}","int((x*(c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","-\frac{c\,{\left(1-a^2\,x^2\right)}^{3/2}}{3\,a^2}","Not used",1,"-(c*(1 - a^2*x^2)^(3/2))/(3*a^2)","B"
290,1,37,33,0.002189,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}","Not used",1,"(c*x*(1 - a^2*x^2)^(1/2))/2 + (c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
291,1,31,35,0.773235,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","-c\,\left(\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\sqrt{1-a^2\,x^2}\right)","Not used",1,"-c*(atanh((1 - a^2*x^2)^(1/2)) - (1 - a^2*x^2)^(1/2))","B"
292,1,38,29,0.049804,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}-\frac{c\,\sqrt{1-a^2\,x^2}}{x}","Not used",1,"c*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2) - (c*(1 - a^2*x^2)^(1/2))/x","B"
293,1,38,46,0.782349,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","\frac{a^2\,c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{2}-\frac{c\,\sqrt{1-a^2\,x^2}}{2\,x^2}","Not used",1,"(a^2*c*atanh((1 - a^2*x^2)^(1/2)))/2 - (c*(1 - a^2*x^2)^(1/2))/(2*x^2)","B"
294,1,18,22,0.035655,"\text{Not used}","int(((c - a*c*x)*(a*x + 1))/(x^4*(1 - a^2*x^2)^(1/2)),x)","-\frac{c\,{\left(1-a^2\,x^2\right)}^{3/2}}{3\,x^3}","Not used",1,"-(c*(1 - a^2*x^2)^(3/2))/(3*x^3)","B"
295,1,154,124,0.790546,"\text{Not used}","int((x^3*(c - a*c*x)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^2\,x^4\,\sqrt{1-a^2\,x^2}}{5}-\frac{2\,c^2\,\sqrt{1-a^2\,x^2}}{15\,a^4}+\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{16\,a^3}-\frac{a\,c^2\,x^5\,\sqrt{1-a^2\,x^2}}{6}-\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a^3\,\sqrt{-a^2}}+\frac{c^2\,x^3\,\sqrt{1-a^2\,x^2}}{24\,a}-\frac{c^2\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a^2}","Not used",1,"(c^2*x^4*(1 - a^2*x^2)^(1/2))/5 - (2*c^2*(1 - a^2*x^2)^(1/2))/(15*a^4) + (c^2*x*(1 - a^2*x^2)^(1/2))/(16*a^3) - (a*c^2*x^5*(1 - a^2*x^2)^(1/2))/6 - (c^2*asinh(x*(-a^2)^(1/2)))/(16*a^3*(-a^2)^(1/2)) + (c^2*x^3*(1 - a^2*x^2)^(1/2))/(24*a) - (c^2*x^2*(1 - a^2*x^2)^(1/2))/(15*a^2)","B"
296,1,131,113,0.032859,"\text{Not used}","int((x^2*(c - a*c*x)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{2\,c^2\,\sqrt{1-a^2\,x^2}}{15\,a^3}+\frac{c^2\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{8\,a^2}-\frac{a\,c^2\,x^4\,\sqrt{1-a^2\,x^2}}{5}+\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^2\,\sqrt{-a^2}}+\frac{c^2\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a}","Not used",1,"(2*c^2*(1 - a^2*x^2)^(1/2))/(15*a^3) + (c^2*x^3*(1 - a^2*x^2)^(1/2))/4 - (c^2*x*(1 - a^2*x^2)^(1/2))/(8*a^2) - (a*c^2*x^4*(1 - a^2*x^2)^(1/2))/5 + (c^2*asinh(x*(-a^2)^(1/2)))/(8*a^2*(-a^2)^(1/2)) + (c^2*x^2*(1 - a^2*x^2)^(1/2))/(15*a)","B"
297,1,108,70,0.033908,"\text{Not used}","int((x*(c - a*c*x)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^2\,x^2\,\sqrt{1-a^2\,x^2}}{3}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a^2}+\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{8\,a}-\frac{a\,c^2\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a\,\sqrt{-a^2}}","Not used",1,"(c^2*x^2*(1 - a^2*x^2)^(1/2))/3 - (c^2*(1 - a^2*x^2)^(1/2))/(3*a^2) + (c^2*x*(1 - a^2*x^2)^(1/2))/(8*a) - (a*c^2*x^3*(1 - a^2*x^2)^(1/2))/4 - (c^2*asinh(x*(-a^2)^(1/2)))/(8*a*(-a^2)^(1/2))","B"
298,1,82,61,0.002027,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(c^2*x*(1 - a^2*x^2)^(1/2))/2 + (c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) + (c^2*(1 - a^2*x^2)^(1/2))/(3*a) - (a*c^2*x^2*(1 - a^2*x^2)^(1/2))/3","B"
299,1,77,59,0.040169,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","c^2\,\sqrt{1-a^2\,x^2}-c^2\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{a\,c^2\,x\,\sqrt{1-a^2\,x^2}}{2}-\frac{a\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}","Not used",1,"c^2*(1 - a^2*x^2)^(1/2) - c^2*atanh((1 - a^2*x^2)^(1/2)) - (a*c^2*x*(1 - a^2*x^2)^(1/2))/2 - (a*c^2*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
300,1,87,58,0.042922,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","-a\,c^2\,\sqrt{1-a^2\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{x}-\frac{a^2\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-a\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"- a*c^2*(1 - a^2*x^2)^(1/2) - (c^2*(1 - a^2*x^2)^(1/2))/x - a*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i - (a^2*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
301,1,90,67,0.050722,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^2\,\sqrt{1-a^2\,x^2}}{x}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{a^3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{a^2\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a*c^2*(1 - a^2*x^2)^(1/2))/x - (c^2*(1 - a^2*x^2)^(1/2))/(2*x^2) - (a^2*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 + (a^3*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
302,1,90,75,0.801302,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^4*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^2\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,x^3}+\frac{a^2\,c^2\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{a^3\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a^3*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 - (c^2*(1 - a^2*x^2)^(1/2))/(3*x^3) + (a*c^2*(1 - a^2*x^2)^(1/2))/(2*x^2) + (a^2*c^2*(1 - a^2*x^2)^(1/2))/(3*x)","B"
303,1,113,102,0.783799,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^5*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^2\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{4\,x^4}+\frac{a^2\,c^2\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{a^3\,c^2\,\sqrt{1-a^2\,x^2}}{3\,x}-\frac{a^4\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(a*c^2*(1 - a^2*x^2)^(1/2))/(3*x^3) - (c^2*(1 - a^2*x^2)^(1/2))/(4*x^4) - (a^4*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/8 + (a^2*c^2*(1 - a^2*x^2)^(1/2))/(8*x^2) - (a^3*c^2*(1 - a^2*x^2)^(1/2))/(3*x)","B"
304,1,136,129,0.788821,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^6*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^2\,\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{5\,x^5}+\frac{a^2\,c^2\,\sqrt{1-a^2\,x^2}}{15\,x^3}-\frac{a^3\,c^2\,\sqrt{1-a^2\,x^2}}{8\,x^2}+\frac{2\,a^4\,c^2\,\sqrt{1-a^2\,x^2}}{15\,x}+\frac{a^5\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(a^5*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/8 - (c^2*(1 - a^2*x^2)^(1/2))/(5*x^5) + (a*c^2*(1 - a^2*x^2)^(1/2))/(4*x^4) + (a^2*c^2*(1 - a^2*x^2)^(1/2))/(15*x^3) - (a^3*c^2*(1 - a^2*x^2)^(1/2))/(8*x^2) + (2*a^4*c^2*(1 - a^2*x^2)^(1/2))/(15*x)","B"
305,1,159,156,0.048959,"\text{Not used}","int(((c - a*c*x)^2*(a*x + 1))/(x^7*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^2\,\sqrt{1-a^2\,x^2}}{5\,x^5}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{6\,x^6}+\frac{a^2\,c^2\,\sqrt{1-a^2\,x^2}}{24\,x^4}-\frac{a^3\,c^2\,\sqrt{1-a^2\,x^2}}{15\,x^3}+\frac{a^4\,c^2\,\sqrt{1-a^2\,x^2}}{16\,x^2}-\frac{2\,a^5\,c^2\,\sqrt{1-a^2\,x^2}}{15\,x}-\frac{a^6\,c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16}","Not used",1,"(a*c^2*(1 - a^2*x^2)^(1/2))/(5*x^5) - (c^2*(1 - a^2*x^2)^(1/2))/(6*x^6) - (a^6*c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/16 + (a^2*c^2*(1 - a^2*x^2)^(1/2))/(24*x^4) - (a^3*c^2*(1 - a^2*x^2)^(1/2))/(15*x^3) + (a^4*c^2*(1 - a^2*x^2)^(1/2))/(16*x^2) - (2*a^5*c^2*(1 - a^2*x^2)^(1/2))/(15*x)","B"
306,1,177,148,0.043807,"\text{Not used}","int((x^3*(c - a*c*x)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{6\,c^3\,x^4\,\sqrt{1-a^2\,x^2}}{35}-\frac{22\,c^3\,\sqrt{1-a^2\,x^2}}{105\,a^4}+\frac{c^3\,x\,\sqrt{1-a^2\,x^2}}{8\,a^3}-\frac{a\,c^3\,x^5\,\sqrt{1-a^2\,x^2}}{3}-\frac{c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^3\,\sqrt{-a^2}}+\frac{c^3\,x^3\,\sqrt{1-a^2\,x^2}}{12\,a}-\frac{11\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{105\,a^2}+\frac{a^2\,c^3\,x^6\,\sqrt{1-a^2\,x^2}}{7}","Not used",1,"(6*c^3*x^4*(1 - a^2*x^2)^(1/2))/35 - (22*c^3*(1 - a^2*x^2)^(1/2))/(105*a^4) + (c^3*x*(1 - a^2*x^2)^(1/2))/(8*a^3) - (a*c^3*x^5*(1 - a^2*x^2)^(1/2))/3 - (c^3*asinh(x*(-a^2)^(1/2)))/(8*a^3*(-a^2)^(1/2)) + (c^3*x^3*(1 - a^2*x^2)^(1/2))/(12*a) - (11*c^3*x^2*(1 - a^2*x^2)^(1/2))/(105*a^2) + (a^2*c^3*x^6*(1 - a^2*x^2)^(1/2))/7","B"
307,1,154,121,0.041827,"\text{Not used}","int((x^2*(c - a*c*x)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{4\,c^3\,\sqrt{1-a^2\,x^2}}{15\,a^3}+\frac{5\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{24}-\frac{3\,c^3\,x\,\sqrt{1-a^2\,x^2}}{16\,a^2}-\frac{2\,a\,c^3\,x^4\,\sqrt{1-a^2\,x^2}}{5}+\frac{3\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a^2\,\sqrt{-a^2}}+\frac{2\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a}+\frac{a^2\,c^3\,x^5\,\sqrt{1-a^2\,x^2}}{6}","Not used",1,"(4*c^3*(1 - a^2*x^2)^(1/2))/(15*a^3) + (5*c^3*x^3*(1 - a^2*x^2)^(1/2))/24 - (3*c^3*x*(1 - a^2*x^2)^(1/2))/(16*a^2) - (2*a*c^3*x^4*(1 - a^2*x^2)^(1/2))/5 + (3*c^3*asinh(x*(-a^2)^(1/2)))/(16*a^2*(-a^2)^(1/2)) + (2*c^3*x^2*(1 - a^2*x^2)^(1/2))/(15*a) + (a^2*c^3*x^5*(1 - a^2*x^2)^(1/2))/6","B"
308,1,108,94,0.063819,"\text{Not used}","int((x*(c - a*c*x)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{4\,a^3}-\frac{\frac{2\,c^3\,{\left(1-a^2\,x^2\right)}^{3/2}}{3}-\frac{c^3\,{\left(1-a^2\,x^2\right)}^{5/2}}{5}}{a^2}-\frac{\frac{c^3\,x\,\sqrt{1-a^2\,x^2}}{4}-\frac{c^3\,x\,{\left(1-a^2\,x^2\right)}^{3/2}}{2}}{a}","Not used",1,"(c^3*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(4*a^3) - ((2*c^3*(1 - a^2*x^2)^(3/2))/3 - (c^3*(1 - a^2*x^2)^(5/2))/5)/a^2 - ((c^3*x*(1 - a^2*x^2)^(1/2))/4 - (c^3*x*(1 - a^2*x^2)^(3/2))/2)/a","B"
309,1,105,91,0.002146,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,c^3\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{5\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{2\,c^3\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{2\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{3}+\frac{a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{4}","Not used",1,"(3*c^3*x*(1 - a^2*x^2)^(1/2))/8 + (5*c^3*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (2*c^3*(1 - a^2*x^2)^(1/2))/(3*a) - (2*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/3 + (a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/4","B"
310,1,110,75,0.061534,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a^4\,c^3}{3\,{\left(-a^2\right)}^{3/2}}+\frac{a^6\,c^3\,x^2}{3\,{\left(-a^2\right)}^{3/2}}-a\,c^3\,x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-c^3\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{a\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((2*a^4*c^3)/(3*(-a^2)^(3/2)) + (a^6*c^3*x^2)/(3*(-a^2)^(3/2)) - a*c^3*x*(-a^2)^(1/2)))/(-a^2)^(1/2) - c^3*atanh((1 - a^2*x^2)^(1/2)) - (a*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
311,1,108,83,0.779839,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a^2\,c^3\,x\,\sqrt{1-a^2\,x^2}}{2}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{x}-2\,a\,c^3\,\sqrt{1-a^2\,x^2}-\frac{a^2\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-a\,c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"(a^2*c^3*x*(1 - a^2*x^2)^(1/2))/2 - (c^3*(1 - a^2*x^2)^(1/2))/x - a*c^3*atan((1 - a^2*x^2)^(1/2)*1i)*2i - 2*a*c^3*(1 - a^2*x^2)^(1/2) - (a^2*c^3*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
312,1,111,92,0.778041,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","a^2\,c^3\,\sqrt{1-a^2\,x^2}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{2\,a\,c^3\,\sqrt{1-a^2\,x^2}}{x}+\frac{2\,a^3\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{a^2\,c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a^2*c^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 + a^2*c^3*(1 - a^2*x^2)^(1/2) - (c^3*(1 - a^2*x^2)^(1/2))/(2*x^2) + (2*a*c^3*(1 - a^2*x^2)^(1/2))/x + (2*a^3*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
313,1,114,88,0.041417,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x^4*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^3\,\sqrt{1-a^2\,x^2}}{x^2}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{a^4\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{2\,a^2\,c^3\,\sqrt{1-a^2\,x^2}}{3\,x}+a^3\,c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"a^3*c^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i - (c^3*(1 - a^2*x^2)^(1/2))/(3*x^3) + (a*c^3*(1 - a^2*x^2)^(1/2))/x^2 - (a^4*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (2*a^2*c^3*(1 - a^2*x^2)^(1/2))/(3*x)","B"
314,1,113,102,0.043029,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x^5*(1 - a^2*x^2)^(1/2)),x)","\frac{2\,a\,c^3\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{3\,a^2\,c^3\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{2\,a^3\,c^3\,\sqrt{1-a^2\,x^2}}{3\,x}-\frac{a^4\,c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{8}","Not used",1,"(2*a*c^3*(1 - a^2*x^2)^(1/2))/(3*x^3) - (c^3*(1 - a^2*x^2)^(1/2))/(4*x^4) - (a^4*c^3*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/8 - (3*a^2*c^3*(1 - a^2*x^2)^(1/2))/(8*x^2) - (2*a^3*c^3*(1 - a^2*x^2)^(1/2))/(3*x)","B"
315,1,136,129,0.788011,"\text{Not used}","int(((c - a*c*x)^3*(a*x + 1))/(x^6*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^3\,\sqrt{1-a^2\,x^2}}{2\,x^4}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{5\,x^5}-\frac{4\,a^2\,c^3\,\sqrt{1-a^2\,x^2}}{15\,x^3}-\frac{a^3\,c^3\,\sqrt{1-a^2\,x^2}}{4\,x^2}+\frac{7\,a^4\,c^3\,\sqrt{1-a^2\,x^2}}{15\,x}+\frac{a^5\,c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(a^5*c^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/4 - (c^3*(1 - a^2*x^2)^(1/2))/(5*x^5) + (a*c^3*(1 - a^2*x^2)^(1/2))/(2*x^4) - (4*a^2*c^3*(1 - a^2*x^2)^(1/2))/(15*x^3) - (a^3*c^3*(1 - a^2*x^2)^(1/2))/(4*x^2) + (7*a^4*c^3*(1 - a^2*x^2)^(1/2))/(15*x)","B"
316,1,200,173,0.055654,"\text{Not used}","int((x^3*(c - a*c*x)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{4\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{35}-\frac{38\,c^4\,\sqrt{1-a^2\,x^2}}{105\,a^4}+\frac{29\,c^4\,x\,\sqrt{1-a^2\,x^2}}{128\,a^3}-\frac{23\,a\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{48}-\frac{29\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{128\,a^3\,\sqrt{-a^2}}+\frac{29\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{192\,a}-\frac{19\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{105\,a^2}+\frac{3\,a^2\,c^4\,x^6\,\sqrt{1-a^2\,x^2}}{7}-\frac{a^3\,c^4\,x^7\,\sqrt{1-a^2\,x^2}}{8}","Not used",1,"(4*c^4*x^4*(1 - a^2*x^2)^(1/2))/35 - (38*c^4*(1 - a^2*x^2)^(1/2))/(105*a^4) + (29*c^4*x*(1 - a^2*x^2)^(1/2))/(128*a^3) - (23*a*c^4*x^5*(1 - a^2*x^2)^(1/2))/48 - (29*c^4*asinh(x*(-a^2)^(1/2)))/(128*a^3*(-a^2)^(1/2)) + (29*c^4*x^3*(1 - a^2*x^2)^(1/2))/(192*a) - (19*c^4*x^2*(1 - a^2*x^2)^(1/2))/(105*a^2) + (3*a^2*c^4*x^6*(1 - a^2*x^2)^(1/2))/7 - (a^3*c^4*x^7*(1 - a^2*x^2)^(1/2))/8","B"
317,1,177,146,0.789709,"\text{Not used}","int((x^2*(c - a*c*x)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{10\,c^4\,\sqrt{1-a^2\,x^2}}{21\,a^3}+\frac{c^4\,x^3\,\sqrt{1-a^2\,x^2}}{8}-\frac{5\,c^4\,x\,\sqrt{1-a^2\,x^2}}{16\,a^2}-\frac{4\,a\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{7}+\frac{5\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a^2\,\sqrt{-a^2}}+\frac{5\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{21\,a}+\frac{a^2\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{2}-\frac{a^3\,c^4\,x^6\,\sqrt{1-a^2\,x^2}}{7}","Not used",1,"(10*c^4*(1 - a^2*x^2)^(1/2))/(21*a^3) + (c^4*x^3*(1 - a^2*x^2)^(1/2))/8 - (5*c^4*x*(1 - a^2*x^2)^(1/2))/(16*a^2) - (4*a*c^4*x^4*(1 - a^2*x^2)^(1/2))/7 + (5*c^4*asinh(x*(-a^2)^(1/2)))/(16*a^2*(-a^2)^(1/2)) + (5*c^4*x^2*(1 - a^2*x^2)^(1/2))/(21*a) + (a^2*c^4*x^5*(1 - a^2*x^2)^(1/2))/2 - (a^3*c^4*x^6*(1 - a^2*x^2)^(1/2))/7","B"
318,1,154,158,0.035788,"\text{Not used}","int((x*(c - a*c*x)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{2\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{15}-\frac{11\,c^4\,\sqrt{1-a^2\,x^2}}{15\,a^2}+\frac{7\,c^4\,x\,\sqrt{1-a^2\,x^2}}{16\,a}-\frac{17\,a\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{24}-\frac{7\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a\,\sqrt{-a^2}}+\frac{3\,a^2\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{5}-\frac{a^3\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{6}","Not used",1,"(2*c^4*x^2*(1 - a^2*x^2)^(1/2))/15 - (11*c^4*(1 - a^2*x^2)^(1/2))/(15*a^2) + (7*c^4*x*(1 - a^2*x^2)^(1/2))/(16*a) - (17*a*c^4*x^3*(1 - a^2*x^2)^(1/2))/24 - (7*c^4*asinh(x*(-a^2)^(1/2)))/(16*a*(-a^2)^(1/2)) + (3*a^2*c^4*x^4*(1 - a^2*x^2)^(1/2))/5 - (a^3*c^4*x^5*(1 - a^2*x^2)^(1/2))/6","B"
319,1,128,123,0.003510,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^4\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{7\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{17\,c^4\,\sqrt{1-a^2\,x^2}}{15\,a}-\frac{14\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{15}+\frac{3\,a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(c^4*x*(1 - a^2*x^2)^(1/2))/8 + (7*c^4*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (17*c^4*(1 - a^2*x^2)^(1/2))/(15*a) - (14*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/15 + (3*a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/4 - (a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/5","B"
320,1,110,101,0.778439,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","a^2\,c^4\,x^2\,\sqrt{1-a^2\,x^2}-\frac{a^3\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{11\,a\,c^4\,x\,\sqrt{1-a^2\,x^2}}{8}-\frac{13\,a\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"c^4*atan((1 - a^2*x^2)^(1/2)*1i)*1i + a^2*c^4*x^2*(1 - a^2*x^2)^(1/2) - (a^3*c^4*x^3*(1 - a^2*x^2)^(1/2))/4 - (11*a*c^4*x*(1 - a^2*x^2)^(1/2))/8 - (13*a*c^4*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2))","B"
321,1,131,106,0.039068,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\frac{3\,a^2\,c^4\,x\,\sqrt{1-a^2\,x^2}}{2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{x}-\frac{8\,a\,c^4\,\sqrt{1-a^2\,x^2}}{3}+\frac{a^2\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-\frac{a^3\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{3}-a\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}","Not used",1,"(3*a^2*c^4*x*(1 - a^2*x^2)^(1/2))/2 - (c^4*(1 - a^2*x^2)^(1/2))/x - a*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*3i - (8*a*c^4*(1 - a^2*x^2)^(1/2))/3 + (a^2*c^4*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) - (a^3*c^4*x^2*(1 - a^2*x^2)^(1/2))/3","B"
322,1,133,116,0.780051,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","3\,a^2\,c^4\,\sqrt{1-a^2\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{3\,a\,c^4\,\sqrt{1-a^2\,x^2}}{x}-\frac{a^3\,c^4\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{5\,a^3\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}+\frac{a^2\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2}","Not used",1,"(a^2*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/2 + 3*a^2*c^4*(1 - a^2*x^2)^(1/2) - (c^4*(1 - a^2*x^2)^(1/2))/(2*x^2) + (3*a*c^4*(1 - a^2*x^2)^(1/2))/x - (a^3*c^4*x*(1 - a^2*x^2)^(1/2))/2 + (5*a^3*c^4*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
323,1,135,120,0.776069,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^4*(1 - a^2*x^2)^(1/2)),x)","\frac{3\,a\,c^4\,\sqrt{1-a^2\,x^2}}{2\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{3\,x^3}-a^3\,c^4\,\sqrt{1-a^2\,x^2}-\frac{3\,a^4\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{8\,a^2\,c^4\,\sqrt{1-a^2\,x^2}}{3\,x}+\frac{a^3\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(a^3*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/2 - a^3*c^4*(1 - a^2*x^2)^(1/2) - (c^4*(1 - a^2*x^2)^(1/2))/(3*x^3) + (3*a*c^4*(1 - a^2*x^2)^(1/2))/(2*x^2) - (3*a^4*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (8*a^2*c^4*(1 - a^2*x^2)^(1/2))/(3*x)","B"
324,1,113,110,0.045980,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^5*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,c^4\,\sqrt{1-a^2\,x^2}}{x^3}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{4\,x^4}+\frac{a^5\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{11\,a^2\,c^4\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{a^4\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,13{}\mathrm{i}}{8}","Not used",1,"(a*c^4*(1 - a^2*x^2)^(1/2))/x^3 - (c^4*(1 - a^2*x^2)^(1/2))/(4*x^4) - (a^4*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*13i)/8 + (a^5*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (11*a^2*c^4*(1 - a^2*x^2)^(1/2))/(8*x^2)","B"
325,1,136,129,0.051120,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^6*(1 - a^2*x^2)^(1/2)),x)","\frac{3\,a\,c^4\,\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{5\,x^5}-\frac{14\,a^2\,c^4\,\sqrt{1-a^2\,x^2}}{15\,x^3}+\frac{a^3\,c^4\,\sqrt{1-a^2\,x^2}}{8\,x^2}+\frac{17\,a^4\,c^4\,\sqrt{1-a^2\,x^2}}{15\,x}+\frac{a^5\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{8}","Not used",1,"(a^5*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*7i)/8 - (c^4*(1 - a^2*x^2)^(1/2))/(5*x^5) + (3*a*c^4*(1 - a^2*x^2)^(1/2))/(4*x^4) - (14*a^2*c^4*(1 - a^2*x^2)^(1/2))/(15*x^3) + (a^3*c^4*(1 - a^2*x^2)^(1/2))/(8*x^2) + (17*a^4*c^4*(1 - a^2*x^2)^(1/2))/(15*x)","B"
326,1,159,156,0.813313,"\text{Not used}","int(((c - a*c*x)^4*(a*x + 1))/(x^7*(1 - a^2*x^2)^(1/2)),x)","\frac{3\,a\,c^4\,\sqrt{1-a^2\,x^2}}{5\,x^5}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{6\,x^6}-\frac{17\,a^2\,c^4\,\sqrt{1-a^2\,x^2}}{24\,x^4}+\frac{2\,a^3\,c^4\,\sqrt{1-a^2\,x^2}}{15\,x^3}+\frac{7\,a^4\,c^4\,\sqrt{1-a^2\,x^2}}{16\,x^2}-\frac{11\,a^5\,c^4\,\sqrt{1-a^2\,x^2}}{15\,x}-\frac{a^6\,c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{16}","Not used",1,"(3*a*c^4*(1 - a^2*x^2)^(1/2))/(5*x^5) - (c^4*(1 - a^2*x^2)^(1/2))/(6*x^6) - (a^6*c^4*atan((1 - a^2*x^2)^(1/2)*1i)*7i)/16 - (17*a^2*c^4*(1 - a^2*x^2)^(1/2))/(24*x^4) + (2*a^3*c^4*(1 - a^2*x^2)^(1/2))/(15*x^3) + (7*a^4*c^4*(1 - a^2*x^2)^(1/2))/(16*x^2) - (11*a^5*c^4*(1 - a^2*x^2)^(1/2))/(15*x)","B"
327,1,163,146,0.819168,"\text{Not used}","int((x^4*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{10\,\sqrt{1-a^2\,x^2}}{3\,a^5\,c}-\frac{2\,\sqrt{1-a^2\,x^2}}{\sqrt{-a^2}\,\left(a^3\,c\,\sqrt{-a^2}-a^4\,c\,x\,\sqrt{-a^2}\right)}+\frac{11\,x\,\sqrt{1-a^2\,x^2}}{8\,a^4\,c}-\frac{27\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^4\,c\,\sqrt{-a^2}}+\frac{x^3\,\sqrt{1-a^2\,x^2}}{4\,a^2\,c}+\frac{2\,x^2\,\sqrt{1-a^2\,x^2}}{3\,a^3\,c}","Not used",1,"(10*(1 - a^2*x^2)^(1/2))/(3*a^5*c) - (2*(1 - a^2*x^2)^(1/2))/((-a^2)^(1/2)*(a^3*c*(-a^2)^(1/2) - a^4*c*x*(-a^2)^(1/2))) + (11*x*(1 - a^2*x^2)^(1/2))/(8*a^4*c) - (27*asinh(x*(-a^2)^(1/2)))/(8*a^4*c*(-a^2)^(1/2)) + (x^3*(1 - a^2*x^2)^(1/2))/(4*a^2*c) + (2*x^2*(1 - a^2*x^2)^(1/2))/(3*a^3*c)","B"
328,1,158,114,0.816763,"\text{Not used}","int((x^3*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2}{3\,c\,{\left(-a^2\right)}^{3/2}}-\frac{2}{a^2\,c\,\sqrt{-a^2}}+\frac{a^2\,x^2}{3\,c\,{\left(-a^2\right)}^{3/2}}+\frac{x\,\sqrt{-a^2}}{a^3\,c}\right)}{\sqrt{-a^2}}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^3\,c\,\sqrt{-a^2}}+\frac{2\,\sqrt{1-a^2\,x^2}}{a^3\,c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*(2/(3*c*(-a^2)^(3/2)) - 2/(a^2*c*(-a^2)^(1/2)) + (a^2*x^2)/(3*c*(-a^2)^(3/2)) + (x*(-a^2)^(1/2))/(a^3*c)))/(-a^2)^(1/2) - (3*asinh(x*(-a^2)^(1/2)))/(a^3*c*(-a^2)^(1/2)) + (2*(1 - a^2*x^2)^(1/2))/(a^3*c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
329,1,129,72,0.063947,"\text{Not used}","int((x^2*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,\sqrt{-a^2}}{a^3\,c}+\frac{x\,\sqrt{-a^2}}{2\,a^2\,c}\right)}{\sqrt{-a^2}}-\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^2\,c\,\sqrt{-a^2}}+\frac{2\,\sqrt{1-a^2\,x^2}}{a^2\,c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((2*(-a^2)^(1/2))/(a^3*c) + (x*(-a^2)^(1/2))/(2*a^2*c)))/(-a^2)^(1/2) - (5*asinh(x*(-a^2)^(1/2)))/(2*a^2*c*(-a^2)^(1/2)) + (2*(1 - a^2*x^2)^(1/2))/(a^2*c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
330,1,90,64,0.057948,"\text{Not used}","int((x*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{\sqrt{1-a^2\,x^2}}{a^2\,c}-\frac{2\,\sqrt{1-a^2\,x^2}}{\left(c\,\sqrt{-a^2}-a\,c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a\,c\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a^2*c) - (2*(1 - a^2*x^2)^(1/2))/((c*(-a^2)^(1/2) - a*c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (2*asinh(x*(-a^2)^(1/2)))/(a*c*(-a^2)^(1/2))","B"
331,1,71,43,0.001992,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2))","B"
332,1,68,45,0.053487,"\text{Not used}","int((a*x + 1)/(x*(1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{2\,a\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{c}","Not used",1,"(2*a*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - atanh((1 - a^2*x^2)^(1/2))/c","B"
333,1,91,69,0.817153,"\text{Not used}","int((a*x + 1)/(x^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{c\,x}-\frac{2\,a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{c}","Not used",1,"(2*a^2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(c*x) - (2*a*atanh((1 - a^2*x^2)^(1/2)))/c","B"
334,1,117,100,0.830740,"\text{Not used}","int((a*x + 1)/(x^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","-\frac{\sqrt{1-a^2\,x^2}}{2\,c\,x^2}-\frac{2\,a\,\sqrt{1-a^2\,x^2}}{c\,x}-\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2\,c}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/(2*c) - (1 - a^2*x^2)^(1/2)/(2*c*x^2) - (2*a*(1 - a^2*x^2)^(1/2))/(c*x) - (2*a^3*(1 - a^2*x^2)^(1/2))/(((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
335,1,140,125,0.062977,"\text{Not used}","int((a*x + 1)/(x^4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)),x)","-\frac{\sqrt{1-a^2\,x^2}}{3\,c\,x^3}-\frac{a\,\sqrt{1-a^2\,x^2}}{c\,x^2}-\frac{8\,a^2\,\sqrt{1-a^2\,x^2}}{3\,c\,x}-\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{c}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/c - (1 - a^2*x^2)^(1/2)/(3*c*x^3) - (a*(1 - a^2*x^2)^(1/2))/(c*x^2) - (8*a^2*(1 - a^2*x^2)^(1/2))/(3*c*x) - (2*a^4*(1 - a^2*x^2)^(1/2))/(((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
336,1,189,159,0.812110,"\text{Not used}","int((x^4*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{3\,\left(a^7\,c^2\,x^2-2\,a^6\,c^2\,x+a^5\,c^2\right)}+\frac{25\,\sqrt{1-a^2\,x^2}}{3\,\left(a^3\,c^2\,\sqrt{-a^2}-a^4\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{17\,\sqrt{1-a^2\,x^2}}{3\,a^5\,c^2}-\frac{3\,x\,\sqrt{1-a^2\,x^2}}{2\,a^4\,c^2}+\frac{17\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^4\,c^2\,\sqrt{-a^2}}-\frac{x^2\,\sqrt{1-a^2\,x^2}}{3\,a^3\,c^2}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(3*(a^5*c^2 - 2*a^6*c^2*x + a^7*c^2*x^2)) + (25*(1 - a^2*x^2)^(1/2))/(3*(a^3*c^2*(-a^2)^(1/2) - a^4*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (17*(1 - a^2*x^2)^(1/2))/(3*a^5*c^2) - (3*x*(1 - a^2*x^2)^(1/2))/(2*a^4*c^2) + (17*asinh(x*(-a^2)^(1/2)))/(2*a^4*c^2*(-a^2)^(1/2)) - (x^2*(1 - a^2*x^2)^(1/2))/(3*a^3*c^2)","B"
337,1,166,104,0.046720,"\text{Not used}","int((x^3*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{3\,\left(a^6\,c^2\,x^2-2\,a^5\,c^2\,x+a^4\,c^2\right)}+\frac{19\,\sqrt{1-a^2\,x^2}}{3\,\left(a^2\,c^2\,\sqrt{-a^2}-a^3\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{3\,\sqrt{1-a^2\,x^2}}{a^4\,c^2}-\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^3\,c^2}+\frac{11\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^3\,c^2\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(3*(a^4*c^2 - 2*a^5*c^2*x + a^6*c^2*x^2)) + (19*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2*(-a^2)^(1/2) - a^3*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (3*(1 - a^2*x^2)^(1/2))/(a^4*c^2) - (x*(1 - a^2*x^2)^(1/2))/(2*a^3*c^2) + (11*asinh(x*(-a^2)^(1/2)))/(2*a^3*c^2*(-a^2)^(1/2))","B"
338,1,143,104,0.810634,"\text{Not used}","int((x^2*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{3\,\left(a^5\,c^2\,x^2-2\,a^4\,c^2\,x+a^3\,c^2\right)}+\frac{13\,\sqrt{1-a^2\,x^2}}{3\,\left(a\,c^2\,\sqrt{-a^2}-a^2\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a^3\,c^2}+\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^2\,c^2\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(3*(a^3*c^2 - 2*a^4*c^2*x + a^5*c^2*x^2)) + (13*(1 - a^2*x^2)^(1/2))/(3*(a*c^2*(-a^2)^(1/2) - a^2*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a^3*c^2) + (3*asinh(x*(-a^2)^(1/2)))/(a^2*c^2*(-a^2)^(1/2))","B"
339,1,108,74,0.821235,"\text{Not used}","int((x*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{4}{3\,a^2\,c^2\,{\left(1-a^2\,x^2\right)}^{3/2}}-\frac{3}{a^2\,c^2\,\sqrt{1-a^2\,x^2}}-\frac{7\,x}{3\,a\,c^2\,\sqrt{1-a^2\,x^2}}+\frac{4\,x}{3\,a\,c^2\,{\left(1-a^2\,x^2\right)}^{3/2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{a^3\,c^2}","Not used",1,"4/(3*a^2*c^2*(1 - a^2*x^2)^(3/2)) - 3/(a^2*c^2*(1 - a^2*x^2)^(1/2)) - (7*x)/(3*a*c^2*(1 - a^2*x^2)^(1/2)) + (4*x)/(3*a*c^2*(1 - a^2*x^2)^(3/2)) - (asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(a^3*c^2)","B"
340,1,32,32,0.001992,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(a\,x+1\right)}{3\,a\,c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"((1 - a^2*x^2)^(1/2)*(a*x + 1))/(3*a*c^2*(a*x - 1)^2)","B"
341,1,119,74,0.812830,"\text{Not used}","int((a*x + 1)/(x*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{c^2}+\frac{5\,a\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}","Not used",1,"(2*a^2*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - atanh((1 - a^2*x^2)^(1/2))/c^2 + (5*a*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
342,1,146,99,0.831103,"\text{Not used}","int((a*x + 1)/(x^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{c^2\,x}+\frac{11\,a^2\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{c^2}","Not used",1,"(2*a^3*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(c^2*x) + (a*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/c^2 + (11*a^2*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
343,1,169,132,0.057299,"\text{Not used}","int((a*x + 1)/(x^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^2\,x^2}-\frac{3\,a\,\sqrt{1-a^2\,x^2}}{c^2\,x}+\frac{17\,a^3\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,11{}\mathrm{i}}{2\,c^2}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*11i)/(2*c^2) + (2*a^4*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(2*c^2*x^2) - (3*a*(1 - a^2*x^2)^(1/2))/(c^2*x) + (17*a^3*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
344,1,192,161,0.830227,"\text{Not used}","int((a*x + 1)/(x^4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^2),x)","\frac{2\,a^5\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{3\,c^2\,x^3}-\frac{3\,a\,\sqrt{1-a^2\,x^2}}{2\,c^2\,x^2}-\frac{17\,a^2\,\sqrt{1-a^2\,x^2}}{3\,c^2\,x}+\frac{23\,a^4\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,17{}\mathrm{i}}{2\,c^2}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*17i)/(2*c^2) + (2*a^5*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(3*c^2*x^3) - (3*a*(1 - a^2*x^2)^(1/2))/(2*c^2*x^2) - (17*a^2*(1 - a^2*x^2)^(1/2))/(3*c^2*x) + (23*a^4*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
345,1,302,135,0.829451,"\text{Not used}","int((x^4*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{4\,a^4\,\sqrt{1-a^2\,x^2}}{15\,\left(a^{11}\,c^3\,x^2-2\,a^{10}\,c^3\,x+a^9\,c^3\right)}-\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(a^3\,c^3\,\sqrt{-a^2}+3\,a^5\,c^3\,x^2\,\sqrt{-a^2}-a^6\,c^3\,x^3\,\sqrt{-a^2}-3\,a^4\,c^3\,x\,\sqrt{-a^2}\right)}-\frac{3\,\sqrt{1-a^2\,x^2}}{a^7\,c^3\,x^2-2\,a^6\,c^3\,x+a^5\,c^3}-\frac{199\,\sqrt{1-a^2\,x^2}}{15\,\left(a^3\,c^3\,\sqrt{-a^2}-a^4\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{4\,\sqrt{1-a^2\,x^2}}{a^5\,c^3}+\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^4\,c^3}-\frac{19\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^4\,c^3\,\sqrt{-a^2}}","Not used",1,"(4*a^4*(1 - a^2*x^2)^(1/2))/(15*(a^9*c^3 - 2*a^10*c^3*x + a^11*c^3*x^2)) - (2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(a^3*c^3*(-a^2)^(1/2) + 3*a^5*c^3*x^2*(-a^2)^(1/2) - a^6*c^3*x^3*(-a^2)^(1/2) - 3*a^4*c^3*x*(-a^2)^(1/2))) - (3*(1 - a^2*x^2)^(1/2))/(a^5*c^3 - 2*a^6*c^3*x + a^7*c^3*x^2) - (199*(1 - a^2*x^2)^(1/2))/(15*(a^3*c^3*(-a^2)^(1/2) - a^4*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (4*(1 - a^2*x^2)^(1/2))/(a^5*c^3) + (x*(1 - a^2*x^2)^(1/2))/(2*a^4*c^3) - (19*asinh(x*(-a^2)^(1/2)))/(2*a^4*c^3*(-a^2)^(1/2))","B"
346,1,234,137,0.054374,"\text{Not used}","int((x^3*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{\sqrt{1-a^2\,x^2}}{a^4\,c^3}-\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(a^2\,c^3\,\sqrt{-a^2}+3\,a^4\,c^3\,x^2\,\sqrt{-a^2}-a^5\,c^3\,x^3\,\sqrt{-a^2}-3\,a^3\,c^3\,x\,\sqrt{-a^2}\right)}-\frac{104\,\sqrt{1-a^2\,x^2}}{15\,\left(a^2\,c^3\,\sqrt{-a^2}-a^3\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{31\,\sqrt{1-a^2\,x^2}}{15\,\left(a^6\,c^3\,x^2-2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^3\,c^3\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a^4*c^3) - (2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(a^2*c^3*(-a^2)^(1/2) + 3*a^4*c^3*x^2*(-a^2)^(1/2) - a^5*c^3*x^3*(-a^2)^(1/2) - 3*a^3*c^3*x*(-a^2)^(1/2))) - (104*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3*(-a^2)^(1/2) - a^3*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (31*(1 - a^2*x^2)^(1/2))/(15*(a^4*c^3 - 2*a^5*c^3*x + a^6*c^3*x^2)) - (4*asinh(x*(-a^2)^(1/2)))/(a^3*c^3*(-a^2)^(1/2))","B"
347,1,259,107,0.820143,"\text{Not used}","int((x^2*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{4\,a^2\,\sqrt{1-a^2\,x^2}}{15\,\left(a^7\,c^3\,x^2-2\,a^6\,c^3\,x+a^5\,c^3\right)}-\frac{13\,\sqrt{1-a^2\,x^2}}{5\,\left(a\,c^3\,\sqrt{-a^2}-a^2\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{5\,\sqrt{1-a^2\,x^2}}{3\,\left(a^5\,c^3\,x^2-2\,a^4\,c^3\,x+a^3\,c^3\right)}-\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(a\,c^3\,\sqrt{-a^2}+3\,a^3\,c^3\,x^2\,\sqrt{-a^2}-a^4\,c^3\,x^3\,\sqrt{-a^2}-3\,a^2\,c^3\,x\,\sqrt{-a^2}\right)}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^2\,c^3\,\sqrt{-a^2}}","Not used",1,"(4*a^2*(1 - a^2*x^2)^(1/2))/(15*(a^5*c^3 - 2*a^6*c^3*x + a^7*c^3*x^2)) - (13*(1 - a^2*x^2)^(1/2))/(5*(a*c^3*(-a^2)^(1/2) - a^2*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (5*(1 - a^2*x^2)^(1/2))/(3*(a^3*c^3 - 2*a^4*c^3*x + a^5*c^3*x^2)) - (2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(a*c^3*(-a^2)^(1/2) + 3*a^3*c^3*x^2*(-a^2)^(1/2) - a^4*c^3*x^3*(-a^2)^(1/2) - 3*a^2*c^3*x*(-a^2)^(1/2))) - asinh(x*(-a^2)^(1/2))/(a^2*c^3*(-a^2)^(1/2))","B"
348,1,143,65,0.850938,"\text{Not used}","int((x*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","-\frac{360\,a^6\,c^3\,\sqrt{1-a^2\,x^2}-600\,a^6\,c^3\,{\left(1-a^2\,x^2\right)}^{3/2}+225\,a^6\,c^3\,{\left(1-a^2\,x^2\right)}^{5/2}+360\,a^7\,c^3\,x\,\sqrt{1-a^2\,x^2}-420\,a^7\,c^3\,x\,{\left(1-a^2\,x^2\right)}^{3/2}+60\,a^7\,c^3\,x\,{\left(1-a^2\,x^2\right)}^{5/2}}{225\,a^8\,c^6\,{\left(a^2\,x^2-1\right)}^3}","Not used",1,"-(360*a^6*c^3*(1 - a^2*x^2)^(1/2) - 600*a^6*c^3*(1 - a^2*x^2)^(3/2) + 225*a^6*c^3*(1 - a^2*x^2)^(5/2) + 360*a^7*c^3*x*(1 - a^2*x^2)^(1/2) - 420*a^7*c^3*x*(1 - a^2*x^2)^(3/2) + 60*a^7*c^3*x*(1 - a^2*x^2)^(5/2))/(225*a^8*c^6*(a^2*x^2 - 1)^3)","B"
349,1,183,65,0.002198,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}-\frac{\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2))) - (1 - a^2*x^2)^(1/2)/(15*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (a*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2))","B"
350,1,209,97,0.074659,"\text{Not used}","int((a*x + 1)/(x*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{3\,a^2\,\sqrt{1-a^2\,x^2}}{5\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{8\,a\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{2\,a\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^3}","Not used",1,"(atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^3 + (3*a^2*(1 - a^2*x^2)^(1/2))/(5*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (8*a*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (2*a*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
351,1,234,127,0.827359,"\text{Not used}","int((a*x + 1)/(x^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{19\,a^3\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{c^3\,x}+\frac{79\,a^2\,\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{a\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c^3}","Not used",1,"(19*a^3*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(c^3*x) + (a*atan((1 - a^2*x^2)^(1/2)*1i)*4i)/c^3 + (79*a^2*(1 - a^2*x^2)^(1/2))/(15*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (2*a^2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
352,1,257,162,0.832090,"\text{Not used}","int((a*x + 1)/(x^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{29\,a^4\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^3\,x^2}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{c^3\,x}+\frac{164\,a^3\,\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,19{}\mathrm{i}}{2\,c^3}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*19i)/(2*c^3) + (29*a^4*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(2*c^3*x^2) - (4*a*(1 - a^2*x^2)^(1/2))/(c^3*x) + (164*a^3*(1 - a^2*x^2)^(1/2))/(15*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (2*a^3*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
353,1,328,187,0.094477,"\text{Not used}","int((a*x + 1)/(x^4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^3),x)","\frac{7\,a^5\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{4\,a^7\,\sqrt{1-a^2\,x^2}}{15\,\left(a^6\,c^3\,x^2-2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{3\,c^3\,x^3}-\frac{2\,a\,\sqrt{1-a^2\,x^2}}{c^3\,x^2}-\frac{29\,a^2\,\sqrt{1-a^2\,x^2}}{3\,c^3\,x}+\frac{93\,a^4\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,18{}\mathrm{i}}{c^3}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*18i)/c^3 + (7*a^5*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (4*a^7*(1 - a^2*x^2)^(1/2))/(15*(a^4*c^3 - 2*a^5*c^3*x + a^6*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(3*c^3*x^3) - (2*a*(1 - a^2*x^2)^(1/2))/(c^3*x^2) - (29*a^2*(1 - a^2*x^2)^(1/2))/(3*c^3*x) + (93*a^4*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (2*a^4*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
354,1,323,166,0.833126,"\text{Not used}","int((x^5*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^{10}\,c^4\,x^4-4\,a^9\,c^4\,x^3+6\,a^8\,c^4\,x^2-4\,a^7\,c^4\,x+a^6\,c^4\right)}+\frac{733\,\sqrt{1-a^2\,x^2}}{105\,\left(a^8\,c^4\,x^2-2\,a^7\,c^4\,x+a^6\,c^4\right)}+\frac{71\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(a^4\,c^4\,\sqrt{-a^2}+3\,a^6\,c^4\,x^2\,\sqrt{-a^2}-a^7\,c^4\,x^3\,\sqrt{-a^2}-3\,a^5\,c^4\,x\,\sqrt{-a^2}\right)}+\frac{2417\,\sqrt{1-a^2\,x^2}}{105\,\left(a^4\,c^4\,\sqrt{-a^2}-a^5\,c^4\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{5\,\sqrt{1-a^2\,x^2}}{a^6\,c^4}-\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^5\,c^4}+\frac{29\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^5\,c^4\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(7*(a^6*c^4 - 4*a^7*c^4*x + 6*a^8*c^4*x^2 - 4*a^9*c^4*x^3 + a^10*c^4*x^4)) + (733*(1 - a^2*x^2)^(1/2))/(105*(a^6*c^4 - 2*a^7*c^4*x + a^8*c^4*x^2)) + (71*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(a^4*c^4*(-a^2)^(1/2) + 3*a^6*c^4*x^2*(-a^2)^(1/2) - a^7*c^4*x^3*(-a^2)^(1/2) - 3*a^5*c^4*x*(-a^2)^(1/2))) + (2417*(1 - a^2*x^2)^(1/2))/(105*(a^4*c^4*(-a^2)^(1/2) - a^5*c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (5*(1 - a^2*x^2)^(1/2))/(a^6*c^4) - (x*(1 - a^2*x^2)^(1/2))/(2*a^5*c^4) + (29*asinh(x*(-a^2)^(1/2)))/(2*a^5*c^4*(-a^2)^(1/2))","B"
355,1,350,168,0.836972,"\text{Not used}","int((x^4*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^9\,c^4\,x^4-4\,a^8\,c^4\,x^3+6\,a^7\,c^4\,x^2-4\,a^6\,c^4\,x+a^5\,c^4\right)}+\frac{572\,\sqrt{1-a^2\,x^2}}{105\,\left(a^7\,c^4\,x^2-2\,a^6\,c^4\,x+a^5\,c^4\right)}+\frac{57\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(a^3\,c^4\,\sqrt{-a^2}+3\,a^5\,c^4\,x^2\,\sqrt{-a^2}-a^6\,c^4\,x^3\,\sqrt{-a^2}-3\,a^4\,c^4\,x\,\sqrt{-a^2}\right)}-\frac{6\,a^4\,\sqrt{1-a^2\,x^2}}{5\,\left(a^{11}\,c^4\,x^2-2\,a^{10}\,c^4\,x+a^9\,c^4\right)}+\frac{1024\,\sqrt{1-a^2\,x^2}}{105\,\left(a^3\,c^4\,\sqrt{-a^2}-a^4\,c^4\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a^5\,c^4}+\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^4\,c^4\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(7*(a^5*c^4 - 4*a^6*c^4*x + 6*a^7*c^4*x^2 - 4*a^8*c^4*x^3 + a^9*c^4*x^4)) + (572*(1 - a^2*x^2)^(1/2))/(105*(a^5*c^4 - 2*a^6*c^4*x + a^7*c^4*x^2)) + (57*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(a^3*c^4*(-a^2)^(1/2) + 3*a^5*c^4*x^2*(-a^2)^(1/2) - a^6*c^4*x^3*(-a^2)^(1/2) - 3*a^4*c^4*x*(-a^2)^(1/2))) - (6*a^4*(1 - a^2*x^2)^(1/2))/(5*(a^9*c^4 - 2*a^10*c^4*x + a^11*c^4*x^2)) + (1024*(1 - a^2*x^2)^(1/2))/(105*(a^3*c^4*(-a^2)^(1/2) - a^4*c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a^5*c^4) + (5*asinh(x*(-a^2)^(1/2)))/(a^4*c^4*(-a^2)^(1/2))","B"
356,1,281,138,0.069287,"\text{Not used}","int((x^3*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^8\,c^4\,x^4-4\,a^7\,c^4\,x^3+6\,a^6\,c^4\,x^2-4\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{229\,\sqrt{1-a^2\,x^2}}{105\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{43\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(a^2\,c^4\,\sqrt{-a^2}+3\,a^4\,c^4\,x^2\,\sqrt{-a^2}-a^5\,c^4\,x^3\,\sqrt{-a^2}-3\,a^3\,c^4\,x\,\sqrt{-a^2}\right)}+\frac{296\,\sqrt{1-a^2\,x^2}}{105\,\left(a^2\,c^4\,\sqrt{-a^2}-a^3\,c^4\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^3\,c^4\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(7*(a^4*c^4 - 4*a^5*c^4*x + 6*a^6*c^4*x^2 - 4*a^7*c^4*x^3 + a^8*c^4*x^4)) + (229*(1 - a^2*x^2)^(1/2))/(105*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (43*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(a^2*c^4*(-a^2)^(1/2) + 3*a^4*c^4*x^2*(-a^2)^(1/2) - a^5*c^4*x^3*(-a^2)^(1/2) - 3*a^3*c^4*x*(-a^2)^(1/2))) + (296*(1 - a^2*x^2)^(1/2))/(105*(a^2*c^4*(-a^2)^(1/2) - a^3*c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + asinh(x*(-a^2)^(1/2))/(a^3*c^4*(-a^2)^(1/2))","B"
357,1,347,97,0.064555,"\text{Not used}","int((x^2*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^7\,c^4\,x^4-4\,a^6\,c^4\,x^3+6\,a^5\,c^4\,x^2-4\,a^4\,c^4\,x+a^3\,c^4\right)}+\frac{4\,\sqrt{1-a^2\,x^2}}{3\,\left(a^5\,c^4\,x^2-2\,a^4\,c^4\,x+a^3\,c^4\right)}+\frac{4\,a\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{23\,\sqrt{1-a^2\,x^2}}{105\,\left(a\,c^4\,\sqrt{-a^2}-a^2\,c^4\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{3\,\left(a^7\,c^4\,x^2-2\,a^6\,c^4\,x+a^5\,c^4\right)}+\frac{29\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(a\,c^4\,\sqrt{-a^2}+3\,a^3\,c^4\,x^2\,\sqrt{-a^2}-a^4\,c^4\,x^3\,\sqrt{-a^2}-3\,a^2\,c^4\,x\,\sqrt{-a^2}\right)}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(7*(a^3*c^4 - 4*a^4*c^4*x + 6*a^5*c^4*x^2 - 4*a^6*c^4*x^3 + a^7*c^4*x^4)) + (4*(1 - a^2*x^2)^(1/2))/(3*(a^3*c^4 - 2*a^4*c^4*x + a^5*c^4*x^2)) + (4*a*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (23*(1 - a^2*x^2)^(1/2))/(105*(a*c^4*(-a^2)^(1/2) - a^2*c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (2*a^2*(1 - a^2*x^2)^(1/2))/(3*(a^5*c^4 - 2*a^6*c^4*x + a^7*c^4*x^2)) + (29*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(a*c^4*(-a^2)^(1/2) + 3*a^3*c^4*x^2*(-a^2)^(1/2) - a^4*c^4*x^3*(-a^2)^(1/2) - 3*a^2*c^4*x*(-a^2)^(1/2)))","B"
358,1,295,97,0.814755,"\text{Not used}","int((x*(a*x + 1))/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{21\,\left(c^4\,\sqrt{-a^2}-a\,c^4\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{4\,a^2\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{3\,\sqrt{1-a^2\,x^2}}{7\,\sqrt{-a^2}\,\left(c^4\,\sqrt{-a^2}+3\,a^2\,c^4\,x^2\,\sqrt{-a^2}-a^3\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x\,\sqrt{-a^2}\right)}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) - (1 - a^2*x^2)^(1/2)/(15*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(21*(c^4*(-a^2)^(1/2) - a*c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (4*a^2*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (3*(1 - a^2*x^2)^(1/2))/(7*(-a^2)^(1/2)*(c^4*(-a^2)^(1/2) + 3*a^2*c^4*x^2*(-a^2)^(1/2) - a^3*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x*(-a^2)^(1/2)))","B"
359,1,49,97,0.002166,"\text{Not used}","int((a*x + 1)/((1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(2\,a^3\,x^3-8\,a^2\,x^2+13\,a\,x+23\right)}{105\,a\,c^4\,{\left(a\,x-1\right)}^4}","Not used",1,"((1 - a^2*x^2)^(1/2)*(13*a*x - 8*a^2*x^2 + 2*a^3*x^3 + 23))/(105*a*c^4*(a*x - 1)^4)","B"
360,1,327,128,0.826047,"\text{Not used}","int((a*x + 1)/(x*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{7\,a^2\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{4\,a^4\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{2\,a^2\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{166\,a\,\sqrt{1-a^2\,x^2}}{105\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{13\,a\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^4}","Not used",1,"(atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^4 + (7*a^2*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (4*a^4*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (2*a^2*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (166*a*(1 - a^2*x^2)^(1/2))/(105*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (13*a*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
361,1,352,155,0.833467,"\text{Not used}","int((a*x + 1)/(x^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{26\,a^3\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{4\,a^5\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{c^4\,x}+\frac{2\,a^3\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{719\,a^2\,\sqrt{1-a^2\,x^2}}{105\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{27\,a^2\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{a\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{c^4}","Not used",1,"(26*a^3*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (4*a^5*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(c^4*x) + (a*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/c^4 + (2*a^3*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (719*a^2*(1 - a^2*x^2)^(1/2))/(105*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (27*a^2*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
362,1,375,192,0.841008,"\text{Not used}","int((a*x + 1)/(x^3*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^4),x)","\frac{11\,a^4\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{4\,a^6\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^4\,x^2}+\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{5\,a\,\sqrt{1-a^2\,x^2}}{c^4\,x}+\frac{1867\,a^3\,\sqrt{1-a^2\,x^2}}{105\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{41\,a^3\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,29{}\mathrm{i}}{2\,c^4}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*29i)/(2*c^4) + (11*a^4*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (4*a^6*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(2*c^4*x^2) + (2*a^4*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) - (5*a*(1 - a^2*x^2)^(1/2))/(c^4*x) + (1867*a^3*(1 - a^2*x^2)^(1/2))/(105*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (41*a^3*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
363,1,22,61,0.038874,"\text{Not used}","int((x*(x + 1)^2)/(1 - x^2)^(1/2),x)","\mathrm{asin}\left(x\right)-\sqrt{1-x^2}\,\left(\frac{x^2}{3}+x+\frac{5}{3}\right)","Not used",1,"asin(x) - (1 - x^2)^(1/2)*(x + x^2/3 + 5/3)","B"
364,1,21,47,0.029086,"\text{Not used}","int((x + 1)^2/(1 - x^2)^(1/2),x)","\frac{3\,\mathrm{asin}\left(x\right)}{2}-\left(\frac{x}{2}+2\right)\,\sqrt{1-x^2}","Not used",1,"(3*asin(x))/2 - (x/2 + 2)*(1 - x^2)^(1/2)","B"
365,1,29,87,0.028000,"\text{Not used}","int((x*(x + 1)^3)/(1 - x^2)^(1/2),x)","\frac{15\,\mathrm{asin}\left(x\right)}{8}-\sqrt{1-x^2}\,\left(\frac{x^3}{4}+x^2+\frac{15\,x}{8}+3\right)","Not used",1,"(15*asin(x))/8 - (1 - x^2)^(1/2)*((15*x)/8 + x^2 + x^3/4 + 3)","B"
366,1,26,67,0.025816,"\text{Not used}","int((x + 1)^3/(1 - x^2)^(1/2),x)","\frac{5\,\mathrm{asin}\left(x\right)}{2}-\sqrt{1-x^2}\,\left(\frac{x^2}{3}+\frac{3\,x}{2}+\frac{11}{3}\right)","Not used",1,"(5*asin(x))/2 - (1 - x^2)^(1/2)*((3*x)/2 + x^2/3 + 11/3)","B"
367,1,11,18,0.112267,"\text{Not used}","int(x/(1 - x^2)^(1/2),x)","-\sqrt{1-x^2}","Not used",1,"-(1 - x^2)^(1/2)","B"
368,1,2,2,0.005908,"\text{Not used}","int(1/(1 - x^2)^(1/2),x)","\mathrm{asin}\left(x\right)","Not used",1,"asin(x)","B"
369,1,18,20,0.785397,"\text{Not used}","int(x/((1 - x^2)^(1/2)*(x + 1)),x)","\mathrm{asin}\left(x\right)+\frac{\sqrt{1-x^2}}{x+1}","Not used",1,"asin(x) + (1 - x^2)^(1/2)/(x + 1)","B"
370,1,13,18,0.026369,"\text{Not used}","int(1/((1 - x^2)^(1/2)*(x + 1)),x)","\frac{x-1}{\sqrt{1-x^2}}","Not used",1,"(x - 1)/(1 - x^2)^(1/2)","B"
371,1,52,49,0.916078,"\text{Not used}","int((x*(x + 1)^(5/2))/(1 - x^2)^(1/2),x)","-\frac{\sqrt{1-x^2}\,\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)}{x+1}","Not used",1,"-((1 - x^2)^(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))/(x + 1)","B"
372,1,45,38,0.880041,"\text{Not used}","int((x + 1)^(5/2)/(1 - x^2)^(1/2),x)","-\frac{6\,x^2\,\sqrt{1-x^2}+28\,x\,\sqrt{1-x^2}+86\,\sqrt{1-x^2}}{15\,\sqrt{x+1}}","Not used",1,"-(6*x^2*(1 - x^2)^(1/2) + 28*x*(1 - x^2)^(1/2) + 86*(1 - x^2)^(1/2))/(15*(x + 1)^(1/2))","B"
373,1,33,34,0.919964,"\text{Not used}","int((x*(1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2),x)","\frac{2\,\sqrt{1-x^2}\,\left(-15\,x^3+18\,x^2+11\,x-22\right)}{105\,\sqrt{1-x}}","Not used",1,"(2*(1 - x^2)^(1/2)*(11*x + 18*x^2 - 15*x^3 - 22))/(105*(1 - x)^(1/2))","B"
374,1,42,23,0.866109,"\text{Not used}","int(((1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2),x)","\frac{16\,\sqrt{1-x^2}}{15\,\sqrt{1-x}}+\frac{2\,\left(3\,x-1\right)\,\sqrt{1-x^2}\,\sqrt{1-x}}{15}","Not used",1,"(16*(1 - x^2)^(1/2))/(15*(1 - x)^(1/2)) + (2*(3*x - 1)*(1 - x^2)^(1/2)*(1 - x)^(1/2))/15","B"
375,1,45,36,0.868569,"\text{Not used}","int((x*(x + 1)^(3/2))/(1 - x^2)^(1/2),x)","-\frac{2\,x^2\,\sqrt{1-x^2}+6\,x\,\sqrt{1-x^2}+12\,\sqrt{1-x^2}}{5\,\sqrt{x+1}}","Not used",1,"-(2*x^2*(1 - x^2)^(1/2) + 6*x*(1 - x^2)^(1/2) + 12*(1 - x^2)^(1/2))/(5*(x + 1)^(1/2))","B"
376,1,31,25,0.854380,"\text{Not used}","int((x + 1)^(3/2)/(1 - x^2)^(1/2),x)","-\frac{2\,x\,\sqrt{1-x^2}+10\,\sqrt{1-x^2}}{3\,\sqrt{x+1}}","Not used",1,"-(2*x*(1 - x^2)^(1/2) + 10*(1 - x^2)^(1/2))/(3*(x + 1)^(1/2))","B"
377,1,42,23,0.885545,"\text{Not used}","int((x*(1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2),x)","\frac{4\,\sqrt{1-x^2}}{15\,\sqrt{1-x}}-\frac{2\,\left(3\,x+4\right)\,\sqrt{1-x^2}\,\sqrt{1-x}}{15}","Not used",1,"(4*(1 - x^2)^(1/2))/(15*(1 - x)^(1/2)) - (2*(3*x + 4)*(1 - x^2)^(1/2)*(1 - x)^(1/2))/15","B"
378,1,33,11,0.860755,"\text{Not used}","int(((1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2),x)","\frac{2\,x\,\sqrt{1-x^2}+2\,\sqrt{1-x^2}}{3\,\sqrt{1-x}}","Not used",1,"(2*x*(1 - x^2)^(1/2) + 2*(1 - x^2)^(1/2))/(3*(1 - x)^(1/2))","B"
379,1,19,25,0.024804,"\text{Not used}","int((x*(x + 1)^(1/2))/(1 - x^2)^(1/2),x)","-\frac{2\,\sqrt{1-x^2}\,\left(x+2\right)}{3\,\sqrt{x+1}}","Not used",1,"-(2*(1 - x^2)^(1/2)*(x + 2))/(3*(x + 1)^(1/2))","B"
380,1,16,11,0.925436,"\text{Not used}","int((x + 1)^(1/2)/(1 - x^2)^(1/2),x)","-\frac{2\,\sqrt{1-x^2}}{\sqrt{x+1}}","Not used",1,"-(2*(1 - x^2)^(1/2))/(x + 1)^(1/2)","B"
381,0,-1,42,0.000000,"\text{Not used}","int((x*(x + 1))/((1 - x^2)^(1/2)*(1 - x)^(1/2)),x)","\int \frac{x\,\left(x+1\right)}{\sqrt{1-x^2}\,\sqrt{1-x}} \,d x","Not used",1,"int((x*(x + 1))/((1 - x^2)^(1/2)*(1 - x)^(1/2)), x)","F"
382,0,-1,31,0.000000,"\text{Not used}","int((x + 1)/((1 - x^2)^(1/2)*(1 - x)^(1/2)),x)","\int \frac{x+1}{\sqrt{1-x^2}\,\sqrt{1-x}} \,d x","Not used",1,"int((x + 1)/((1 - x^2)^(1/2)*(1 - x)^(1/2)), x)","F"
383,0,-1,34,0.000000,"\text{Not used}","int(x/((1 - x^2)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{x}{\sqrt{1-x^2}\,\sqrt{x+1}} \,d x","Not used",1,"int(x/((1 - x^2)^(1/2)*(x + 1)^(1/2)), x)","F"
384,0,-1,23,0.000000,"\text{Not used}","int(1/((1 - x^2)^(1/2)*(x + 1)^(1/2)),x)","\int \frac{1}{\sqrt{1-x^2}\,\sqrt{x+1}} \,d x","Not used",1,"int(1/((1 - x^2)^(1/2)*(x + 1)^(1/2)), x)","F"
385,0,-1,51,0.000000,"\text{Not used}","int((x*(x + 1))/((1 - x^2)^(1/2)*(1 - x)^(3/2)),x)","\int \frac{x\,\left(x+1\right)}{\sqrt{1-x^2}\,{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int((x*(x + 1))/((1 - x^2)^(1/2)*(1 - x)^(3/2)), x)","F"
386,0,-1,37,0.000000,"\text{Not used}","int((x + 1)/((1 - x^2)^(1/2)*(1 - x)^(3/2)),x)","\int \frac{x+1}{\sqrt{1-x^2}\,{\left(1-x\right)}^{3/2}} \,d x","Not used",1,"int((x + 1)/((1 - x^2)^(1/2)*(1 - x)^(3/2)), x)","F"
387,0,-1,64,0.000000,"\text{Not used}","int((x^m*(c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,\sqrt{c-a\,c\,x}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
388,1,53,107,0.953991,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{8\,x}{105\,a^2}+\frac{2\,a\,x^4}{7}+\frac{16}{105\,a^3}+\frac{12\,x^3}{35}-\frac{2\,x^2}{105\,a}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((8*x)/(105*a^2) + (2*a*x^4)/7 + 16/(105*a^3) + (12*x^3)/35 - (2*x^2)/(105*a)))/(1 - a^2*x^2)^(1/2)","B"
389,1,46,69,0.919875,"\text{Not used}","int((x*(c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","-\frac{\sqrt{c-a\,c\,x}\,\left(\frac{2\,x}{15\,a}-\frac{2\,a\,x^3}{5}+\frac{4}{15\,a^2}-\frac{8\,x^2}{15}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - a*c*x)^(1/2)*((2*x)/(15*a) - (2*a*x^3)/5 + 4/(15*a^2) - (8*x^2)/15))/(1 - a^2*x^2)^(1/2)","B"
390,1,37,35,0.001947,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{4\,x}{3}+\frac{2\,a\,x^2}{3}+\frac{2}{3\,a}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a*c*x)^(1/2)*((4*x)/3 + (2*a*x^2)/3 + 2/(3*a)))/(1 - a^2*x^2)^(1/2)","B"
391,0,-1,68,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
392,0,-1,72,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,\left(a\,x+1\right)}{x^2\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)), x)","F"
393,1,83,101,0.044327,"\text{Not used}","int(-(x^3*(c - a*c*x)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{14\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^4\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a^4}-\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,"(14*(c - a*c*x)^(3/2))/(3*a^4*c) - (4*(c - a*c*x)^(1/2))/a^4 - (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"
394,1,66,80,0.055117,"\text{Not used}","int(-(x^2*(c - a*c*x)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{10\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a^3\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a^3}-\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,"(10*(c - a*c*x)^(3/2))/(3*a^3*c) - (4*(c - a*c*x)^(1/2))/a^3 - (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"
395,1,46,57,0.049060,"\text{Not used}","int(-(x*(c - a*c*x)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 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"
396,1,32,38,0.020593,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{c-a\,c\,x}}{a}","Not used",1,"(2*(c - a*c*x)^(3/2))/(3*a*c) - (4*(c - a*c*x)^(1/2))/a","B"
397,1,31,39,0.808790,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 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"
398,1,35,43,0.836058,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 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"
399,1,54,68,0.075231,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","\frac{7\,{\left(c-a\,c\,x\right)}^{3/2}}{4\,c\,x^2}-\frac{7\,a^2\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)}{4}-\frac{9\,\sqrt{c-a\,c\,x}}{4\,x^2}","Not used",1,"(7*(c - a*c*x)^(3/2))/(4*c*x^2) - (7*a^2*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)))/4 - (9*(c - a*c*x)^(1/2))/(4*x^2)","B"
400,1,74,89,0.070760,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","\frac{11\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,c\,x^3}-\frac{21\,\sqrt{c-a\,c\,x}}{8\,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,"(a^3*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*11i)/8 - (21*(c - a*c*x)^(1/2))/(8*x^3) + (11*(c - a*c*x)^(3/2))/(3*c*x^3) - (11*(c - a*c*x)^(5/2))/(8*c^2*x^3)","B"
401,1,91,110,0.104361,"\text{Not used}","int(-((c - a*c*x)^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","\frac{365\,{\left(c-a\,c\,x\right)}^{3/2}}{64\,c\,x^4}-\frac{181\,\sqrt{c-a\,c\,x}}{64\,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,"(a^4*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*75i)/64 - (181*(c - a*c*x)^(1/2))/(64*x^4) + (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"
402,0,-1,249,0.000000,"\text{Not used}","int((x^3*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^3\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
403,0,-1,169,0.000000,"\text{Not used}","int((x^2*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^2\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
404,0,-1,169,0.000000,"\text{Not used}","int((x*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x\,\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
405,0,-1,119,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
406,0,-1,119,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{x\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)), x)","F"
407,0,-1,124,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{x^2\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)), x)","F"
408,0,-1,173,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{x^3\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)), x)","F"
409,0,-1,216,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{x^4\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)), x)","F"
410,0,-1,259,0.000000,"\text{Not used}","int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a\,c\,x}\,{\left(a\,x+1\right)}^3}{x^5\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a*c*x)^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)), x)","F"
411,0,-1,114,0.000000,"\text{Not used}","int((x^m*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1),x)","\int \frac{x^m\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{a\,x+1} \,d x","Not used",1,"int((x^m*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1), x)","F"
412,1,74,135,0.951333,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1),x)","\frac{2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(15\,a^2\,x^2-24\,a\,x+28\right)}{105\,a^3}-\frac{152\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{105\,a^3\,\left(a\,x-1\right)}","Not used",1,"(2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(15*a^2*x^2 - 24*a*x + 28))/(105*a^3) - (152*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(105*a^3*(a*x - 1))","B"
413,1,75,101,0.902573,"\text{Not used}","int((x*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1),x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{12\,\sqrt{1-a^2\,x^2}}{5\,a^3}-\frac{6\,x\,\sqrt{1-a^2\,x^2}}{5\,a^2}+\frac{2\,x^2\,\sqrt{1-a^2\,x^2}}{5\,a}\right)}{x-\frac{1}{a}}","Not used",1,"((c - a*c*x)^(1/2)*((12*(1 - a^2*x^2)^(1/2))/(5*a^3) - (6*x*(1 - a^2*x^2)^(1/2))/(5*a^2) + (2*x^2*(1 - a^2*x^2)^(1/2))/(5*a)))/(x - 1/a)","B"
414,1,56,66,0.002010,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a*x + 1),x)","-\frac{\sqrt{c-a\,c\,x}\,\left(\frac{10\,\sqrt{1-a^2\,x^2}}{3\,a^2}-\frac{2\,x\,\sqrt{1-a^2\,x^2}}{3\,a}\right)}{x-\frac{1}{a}}","Not used",1,"-((c - a*c*x)^(1/2)*((10*(1 - a^2*x^2)^(1/2))/(3*a^2) - (2*x*(1 - a^2*x^2)^(1/2))/(3*a)))/(x - 1/a)","B"
415,0,-1,68,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x*(a*x + 1)), x)","F"
416,0,-1,72,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^2*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^2*(a*x + 1)), x)","F"
417,0,-1,112,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^3*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{x^3\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^3*(a*x + 1)), x)","F"
418,0,-1,148,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^4*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{x^4\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(x^4*(a*x + 1)), x)","F"
419,1,114,139,0.848125,"\text{Not used}","int(-(x^3*(a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(a*x + 1)^2,x)","\frac{2\,{\left(c-a\,c\,x\right)}^{7/2}}{7\,a^4\,c^3}-\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{4\,\sqrt{c-a\,c\,x}}{a^4}-\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,"(2*(c - a*c*x)^(7/2))/(7*a^4*c^3) - (2*(c - a*c*x)^(3/2))/(3*a^4*c) - (2*(c - a*c*x)^(5/2))/(5*a^4*c^2) - (4*(c - a*c*x)^(1/2))/a^4 - (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"
420,1,80,97,0.097272,"\text{Not used}","int(-(x^2*(a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(a*x + 1)^2,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"
421,1,80,97,0.857311,"\text{Not used}","int(-(x*(a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(a*x + 1)^2,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"
422,1,61,76,0.002251,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(a*x + 1)^2,x)","\frac{4\,\sqrt{c-a\,c\,x}}{a}+\frac{2\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,a\,c}-\frac{4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)}{a}","Not used",1,"(4*(c - a*c*x)^(1/2))/a + (2*(c - a*c*x)^(3/2))/(3*a*c) - (4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))))/a","B"
423,1,57,74,0.832594,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(x*(a*x + 1)^2),x)","4\,\sqrt{2}\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)-2\,\sqrt{c-a\,c\,x}-2\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)","Not used",1,"4*2^(1/2)*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2))) - 2*(c - a*c*x)^(1/2) - 2*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2))","B"
424,1,62,79,0.860318,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(x^2*(a*x + 1)^2),x)","5\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{c-a\,c\,x}}{\sqrt{c}}\right)-\frac{\sqrt{c-a\,c\,x}}{x}-4\,\sqrt{2}\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-a\,c\,x}}{2\,\sqrt{c}}\right)","Not used",1,"5*a*c^(1/2)*atanh((c - a*c*x)^(1/2)/c^(1/2)) - (c - a*c*x)^(1/2)/x - 4*2^(1/2)*a*c^(1/2)*atanh((2^(1/2)*(c - a*c*x)^(1/2))/(2*c^(1/2)))","B"
425,1,88,106,0.114898,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(x^3*(a*x + 1)^2),x)","\frac{7\,\sqrt{c-a\,c\,x}}{4\,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{9\,{\left(c-a\,c\,x\right)}^{3/2}}{4\,c\,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,"(7*(c - a*c*x)^(1/2))/(4*x^2) + (a^2*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*23i)/4 - (9*(c - a*c*x)^(3/2))/(4*c*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"
426,1,105,127,0.126583,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(x^4*(a*x + 1)^2),x)","\frac{11\,{\left(c-a\,c\,x\right)}^{3/2}}{3\,c\,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{13\,\sqrt{c-a\,c\,x}}{8\,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,"(11*(c - a*c*x)^(3/2))/(3*c*x^3) - (a^3*c^(1/2)*atan(((c - a*c*x)^(1/2)*1i)/c^(1/2))*45i)/8 - (13*(c - a*c*x)^(1/2))/(8*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"
427,1,122,148,0.888261,"\text{Not used}","int(-((a^2*x^2 - 1)*(c - a*c*x)^(1/2))/(x^5*(a*x + 1)^2),x)","\frac{107\,\sqrt{c-a\,c\,x}}{64\,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{1049\,{\left(c-a\,c\,x\right)}^{3/2}}{192\,c\,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,"(107*(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))*363i)/64 - (1049*(c - a*c*x)^(3/2))/(192*c*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"
428,1,115,235,1.068659,"\text{Not used}","int((x^3*(1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(a*x + 1)^3,x)","\frac{4\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{a^4\,\left(a\,x+1\right)}-\frac{928\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{45\,a^4\,\left(a\,x-1\right)}-\frac{2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(5\,a^3\,x^3-20\,a^2\,x^2+46\,a\,x-102\right)}{45\,a^4}","Not used",1,"(4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a^4*(a*x + 1)) - (928*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(45*a^4*(a*x - 1)) - (2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(46*a*x - 20*a^2*x^2 + 5*a^3*x^3 - 102))/(45*a^4)","B"
429,1,107,197,1.038926,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(a*x + 1)^3,x)","\frac{1888\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{105\,a^3\,\left(a\,x-1\right)}-\frac{2\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}\,\left(15\,a^2\,x^2-66\,a\,x+182\right)}{105\,a^3}-\frac{4\,\sqrt{1-a^2\,x^2}\,\sqrt{c-a\,c\,x}}{a^3\,\left(a\,x+1\right)}","Not used",1,"(1888*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(105*a^3*(a*x - 1)) - (2*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2)*(15*a^2*x^2 - 66*a*x + 182))/(105*a^3) - (4*(1 - a^2*x^2)^(1/2)*(c - a*c*x)^(1/2))/(a^3*(a*x + 1))","B"
430,1,97,157,1.004085,"\text{Not used}","int((x*(1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(a*x + 1)^3,x)","\frac{\sqrt{c-a\,c\,x}\,\left(\frac{316\,\sqrt{1-a^2\,x^2}}{15\,a^4}+\frac{158\,x\,\sqrt{1-a^2\,x^2}}{15\,a^3}+\frac{2\,x^3\,\sqrt{1-a^2\,x^2}}{5\,a}-\frac{32\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a^2}\right)}{\frac{1}{a^2}-x^2}","Not used",1,"((c - a*c*x)^(1/2)*((316*(1 - a^2*x^2)^(1/2))/(15*a^4) + (158*x*(1 - a^2*x^2)^(1/2))/(15*a^3) + (2*x^3*(1 - a^2*x^2)^(1/2))/(5*a) - (32*x^2*(1 - a^2*x^2)^(1/2))/(15*a^2)))/(1/a^2 - x^2)","B"
431,1,40,103,0.002028,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(a*x + 1)^3,x)","-\frac{2\,\sqrt{c-a\,c\,x}\,\left(-a^2\,x^2+10\,a\,x+23\right)}{3\,a\,\sqrt{1-a^2\,x^2}}","Not used",1,"-(2*(c - a*c*x)^(1/2)*(10*a*x - a^2*x^2 + 23))/(3*a*(1 - a^2*x^2)^(1/2))","B"
432,0,-1,107,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}}{x\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x*(a*x + 1)^3), x)","F"
433,0,-1,112,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^2*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}}{x^2\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^2*(a*x + 1)^3), x)","F"
434,0,-1,163,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^3*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}}{x^3\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^3*(a*x + 1)^3), x)","F"
435,0,-1,206,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^4*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}}{x^4\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^4*(a*x + 1)^3), x)","F"
436,0,-1,249,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^5*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{c-a\,c\,x}}{x^5\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((1 - a^2*x^2)^(3/2)*(c - a*c*x)^(1/2))/(x^5*(a*x + 1)^3), x)","F"
437,0,-1,61,0.000000,"\text{Not used}","int(exp(-2*p*atanh(a*x))*(c - a*c*x)^p,x)","\int {\mathrm{e}}^{-2\,p\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^p \,d x","Not used",1,"int(exp(-2*p*atanh(a*x))*(c - a*c*x)^p, x)","F"
438,1,37,37,0.886123,"\text{Not used}","int(exp(2*p*atanh(a*x))*(c - a*c*x)^p,x)","\frac{{\left(c-a\,c\,x\right)}^p\,{\left(a\,x+1\right)}^{p+1}}{a\,{\left(1-a\,x\right)}^p\,\left(p+1\right)}","Not used",1,"((c - a*c*x)^p*(a*x + 1)^(p + 1))/(a*(1 - a*x)^p*(p + 1))","B"
439,0,-1,82,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^p,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^p \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^p, x)","F"
440,0,-1,68,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^3,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^3 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^3, x)","F"
441,0,-1,68,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x)^2,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a\,c\,x\right)}^2 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x)^2, x)","F"
442,0,-1,66,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a*c*x),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(c-a\,c\,x\right) \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a*c*x), x)","F"
443,0,-1,59,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a\,c\,x} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a*c*x), x)","F"
444,1,37,39,1.104970,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^2,x)","\frac{{\left(a\,x+1\right)}^{\frac{n}{2}+1}}{a\,c^2\,{\left(1-a\,x\right)}^{\frac{n}{2}+1}\,\left(n+2\right)}","Not used",1,"(a*x + 1)^(n/2 + 1)/(a*c^2*(1 - a*x)^(n/2 + 1)*(n + 2))","B"
445,1,100,84,1.270106,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^3,x)","\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{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)}{\frac{1}{a^2}-\frac{2\,x}{a}+x^2}","Not used",1,"(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/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))))/(1/a^2 - (2*x)/a + x^2)","B"
446,1,167,135,1.336180,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a*c*x)^4,x)","-\frac{{\left(a\,x+1\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(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)^(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))))/((1 - a*x)^(n/2)*((3*x)/a^2 - 1/a^3 + x^3 - (3*x^2)/a))","B"
447,0,-1,60,0.000000,"\text{Not used}","int(((c - c/(a*x))^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
448,1,137,125,0.049519,"\text{Not used}","int(((c - c/(a*x))^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,c^4\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}-\frac{8\,c^4\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}-\frac{3\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}+\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}","Not used",1,"(c^4*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/(2*a) - (3*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^4*(1 - a^2*x^2)^(1/2))/a - (8*c^4*(1 - a^2*x^2)^(1/2))/(3*a^2*x) + (3*c^4*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^4*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
449,1,114,97,0.795483,"\text{Not used}","int(((c - c/(a*x))^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^3\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{2\,c^3\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{2\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}","Not used",1,"(c^3*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/(2*a) - (c^3*(1 - a^2*x^2)^(1/2))/a - (2*c^3*(1 - a^2*x^2)^(1/2))/(a^2*x) - (2*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
450,1,91,65,0.041515,"\text{Not used}","int(((c - c/(a*x))^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","-\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"- (c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/a - (c^2*(1 - a^2*x^2)^(1/2))/a - (c^2*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
451,1,37,41,0.818081,"\text{Not used}","int(((c - c/(a*x))*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}-\frac{c\,\sqrt{1-a^2\,x^2}}{a}","Not used",1,"(c*atanh((1 - a^2*x^2)^(1/2)))/a - (c*(1 - a^2*x^2)^(1/2))/a","B"
452,1,91,65,0.071796,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))*(1 - a^2*x^2)^(1/2)),x)","\frac{2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(2*asinh(x*(-a^2)^(1/2)))/(c*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c) - (2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
453,1,140,104,0.818325,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^2*(1 - a^2*x^2)^(1/2)),x)","\frac{2\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}+\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}-\frac{13\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}","Not used",1,"(2*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) + (3*asinh(x*(-a^2)^(1/2)))/(c^2*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^2) - (13*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
454,1,225,136,0.824173,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^3*(1 - a^2*x^2)^(1/2)),x)","\frac{31\,a\,\sqrt{1-a^2\,x^2}}{15\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{104\,\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{2\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(31*a*(1 - a^2*x^2)^(1/2))/(15*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (4*asinh(x*(-a^2)^(1/2)))/(c^3*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^3) - (104*(1 - a^2*x^2)^(1/2))/(15*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (2*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
455,1,389,168,0.832829,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^4*(1 - a^2*x^2)^(1/2)),x)","\frac{16\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}+\frac{4\,a^3\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}-\frac{6\,a^4\,\sqrt{1-a^2\,x^2}}{5\,\left(a^7\,c^4\,x^2-2\,a^6\,c^4\,x+a^5\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}+\frac{2\,a\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{1024\,\sqrt{1-a^2\,x^2}}{105\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}-\frac{57\,\sqrt{1-a^2\,x^2}}{35\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(16*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (5*asinh(x*(-a^2)^(1/2)))/(c^4*(-a^2)^(1/2)) + (4*a^3*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) - (6*a^4*(1 - a^2*x^2)^(1/2))/(5*(a^5*c^4 - 2*a^6*c^4*x + a^7*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^4) + (2*a*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) - (1024*(1 - a^2*x^2)^(1/2))/(105*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) - (57*(1 - a^2*x^2)^(1/2))/(35*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
456,0,-1,59,0.000000,"\text{Not used}","int(-((c - c/(a*x))^p*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a\,x}\right)}^p\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^p*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
457,1,49,62,0.854748,"\text{Not used}","int(-((c - c/(a*x))^5*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c^5\,\left(a^2\,x^2-a\,x+2\,a^3\,x^3-a^5\,x^5+3\,a^4\,x^4\,\ln\left(x\right)+\frac{1}{4}\right)}{a^5\,x^4}","Not used",1,"(c^5*(a^2*x^2 - a*x + 2*a^3*x^3 - a^5*x^5 + 3*a^4*x^4*log(x) + 1/4))/(a^5*x^4)","B"
458,1,35,40,0.813801,"\text{Not used}","int(-((c - c/(a*x))^4*(a*x + 1)^2)/(a^2*x^2 - 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"
459,1,35,40,0.051445,"\text{Not used}","int(-((c - c/(a*x))^3*(a*x + 1)^2)/(a^2*x^2 - 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"
460,1,20,18,0.035639,"\text{Not used}","int(-((c - c/(a*x))^2*(a*x + 1)^2)/(a^2*x^2 - 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"
461,1,12,13,0.034103,"\text{Not used}","int(-((c - c/(a*x))*(a*x + 1)^2)/(a^2*x^2 - 1),x)","-\frac{c\,\left(\ln\left(x\right)+a\,x\right)}{a}","Not used",1,"-(c*(log(x) + a*x))/a","B"
462,1,35,38,0.059374,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))*(a^2*x^2 - 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"
463,1,54,53,0.071903,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^2*(a^2*x^2 - 1)),x)","\frac{5\,x-\frac{4}{a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}-\frac{x}{c^2}-\frac{4\,\ln\left(a\,x-1\right)}{a\,c^2}","Not used",1,"(5*x - 4/a)/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) - x/c^2 - (4*log(a*x - 1))/(a*c^2)","B"
464,1,73,74,0.838190,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^3*(a^2*x^2 - 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"
465,1,90,88,0.848425,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^4*(a^2*x^2 - 1)),x)","\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{x}{c^4}-\frac{6\,\ln\left(a\,x-1\right)}{a\,c^4}","Not used",1,"(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) - x/c^4 - (6*log(a*x - 1))/(a*c^4)","B"
466,1,135,103,0.047027,"\text{Not used}","int(((c - c/(a*x))^4*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}+\frac{4\,c^4\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}+\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a}","Not used",1,"(c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^4*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(2*a) + (c^4*(1 - a^2*x^2)^(1/2))/a + (4*c^4*(1 - a^2*x^2)^(1/2))/(3*a^2*x) + (c^4*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^4*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
467,1,64,77,0.059387,"\text{Not used}","int(((c - c/(a*x))^3*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{3\,c^3\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{2\,a}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}","Not used",1,"(c^3*(1 - a^2*x^2)^(1/2))/a - (3*c^3*atanh((1 - a^2*x^2)^(1/2)))/(2*a) + (c^3*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2)","B"
468,1,90,67,0.811423,"\text{Not used}","int(((c - c/(a*x))^2*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a^2\,x}+\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}","Not used",1,"(c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/a - (c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^2*(1 - a^2*x^2)^(1/2))/a - (c^2*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
469,1,56,50,0.053377,"\text{Not used}","int(((c - c/(a*x))*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c\,\sqrt{1-a^2\,x^2}}{a}+\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}-\frac{2\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}","Not used",1,"(c*(1 - a^2*x^2)^(1/2))/a + (c*atanh((1 - a^2*x^2)^(1/2)))/a - (2*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
470,1,129,99,0.063118,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{20\,\sqrt{1-a^2\,x^2}}{3\,\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(c\,a^4\,x^2-2\,c\,a^3\,x+c\,a^2\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c) - (20*(1 - a^2*x^2)^(1/2))/(3*((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (4*asinh(x*(-a^2)^(1/2)))/(c*(-a^2)^(1/2)) - (4*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c + a^4*c*x^2 - 2*a^3*c*x))","B"
471,1,270,128,0.817466,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^2*(1 - a^2*x^2)^(3/2)),x)","\frac{8\,a^2\,\sqrt{1-a^2\,x^2}}{15\,\left(a^5\,c^2\,x^2-2\,a^4\,c^2\,x+a^3\,c^2\right)}-\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}+\frac{143\,\sqrt{1-a^2\,x^2}}{15\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{4\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}+a^2\,c^2\,x^3\,\sqrt{-a^2}-3\,a\,c^2\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(8*a^2*(1 - a^2*x^2)^(1/2))/(15*(a^3*c^2 - 2*a^4*c^2*x + a^5*c^2*x^2)) - (5*asinh(x*(-a^2)^(1/2)))/(c^2*(-a^2)^(1/2)) - (4*a*(1 - a^2*x^2)^(1/2))/(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2) + (1 - a^2*x^2)^(1/2)/(a*c^2) + (143*(1 - a^2*x^2)^(1/2))/(15*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a)) + (4*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(3*c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a + a^2*c^2*x^3*(-a^2)^(1/2) - 3*a*c^2*x^2*(-a^2)^(1/2)))","B"
472,1,340,155,0.072203,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^3*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{6\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}-\frac{8\,a^3\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^3\,x^2-2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{31\,a\,\sqrt{1-a^2\,x^2}}{5\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^3\,x^4-4\,a^5\,c^3\,x^3+6\,a^4\,c^3\,x^2-4\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{88\,\sqrt{1-a^2\,x^2}}{7\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{20\,\sqrt{1-a^2\,x^2}}{7\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c^3) - (6*asinh(x*(-a^2)^(1/2)))/(c^3*(-a^2)^(1/2)) - (8*a^3*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^3 - 2*a^5*c^3*x + a^6*c^3*x^2)) - (31*a*(1 - a^2*x^2)^(1/2))/(5*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) - (4*a*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^3 - 4*a^3*c^3*x + 6*a^4*c^3*x^2 - 4*a^5*c^3*x^3 + a^6*c^3*x^4)) + (88*(1 - a^2*x^2)^(1/2))/(7*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (20*(1 - a^2*x^2)^(1/2))/(7*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
473,1,579,190,0.869014,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^4*(1 - a^2*x^2)^(3/2)),x)","\frac{4\,\sqrt{1-a^2\,x^2}}{9\,\sqrt{-a^2}\,\left(5\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+10\,a^2\,c^4\,x^3\,\sqrt{-a^2}-5\,a^3\,c^4\,x^4\,\sqrt{-a^2}+a^4\,c^4\,x^5\,\sqrt{-a^2}-10\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}-\frac{44\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{7\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}-\frac{8\,a^3\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{1754\,a^4\,\sqrt{1-a^2\,x^2}}{315\,\left(a^7\,c^4\,x^2-2\,a^6\,c^4\,x+a^5\,c^4\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}-\frac{20\,a\,\sqrt{1-a^2\,x^2}}{7\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{4964\,\sqrt{1-a^2\,x^2}}{315\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{697\,\sqrt{1-a^2\,x^2}}{105\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{16\,a^6\,\sqrt{1-a^2\,x^2}}{63\,\left(a^{11}\,c^4\,x^4-4\,a^{10}\,c^4\,x^3+6\,a^9\,c^4\,x^2-4\,a^8\,c^4\,x+a^7\,c^4\right)}","Not used",1,"(4*(1 - a^2*x^2)^(1/2))/(9*(-a^2)^(1/2)*(5*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + 10*a^2*c^4*x^3*(-a^2)^(1/2) - 5*a^3*c^4*x^4*(-a^2)^(1/2) + a^4*c^4*x^5*(-a^2)^(1/2) - 10*a*c^4*x^2*(-a^2)^(1/2))) - (44*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) - (7*asinh(x*(-a^2)^(1/2)))/(c^4*(-a^2)^(1/2)) - (8*a^3*(1 - a^2*x^2)^(1/2))/(7*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (1754*a^4*(1 - a^2*x^2)^(1/2))/(315*(a^5*c^4 - 2*a^6*c^4*x + a^7*c^4*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^4) - (20*a*(1 - a^2*x^2)^(1/2))/(7*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (4964*(1 - a^2*x^2)^(1/2))/(315*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (697*(1 - a^2*x^2)^(1/2))/(105*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2))) + (16*a^6*(1 - a^2*x^2)^(1/2))/(63*(a^7*c^4 - 4*a^8*c^4*x + 6*a^9*c^4*x^2 - 4*a^10*c^4*x^3 + a^11*c^4*x^4))","B"
474,0,-1,93,0.000000,"\text{Not used}","int(((c - c/(a*x))^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2,x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,{\left(a\,x+1\right)}^4}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int(((c - c/(a*x))^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2, x)","F"
475,1,51,64,0.066825,"\text{Not used}","int(((c - c/(a*x))^5*(a*x + 1)^4)/(a^2*x^2 - 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"
476,1,27,30,0.806524,"\text{Not used}","int(((c - c/(a*x))^4*(a*x + 1)^4)/(a^2*x^2 - 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"
477,1,31,38,0.814876,"\text{Not used}","int(((c - c/(a*x))^3*(a*x + 1)^4)/(a^2*x^2 - 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"
478,1,25,27,0.807874,"\text{Not used}","int(((c - c/(a*x))^2*(a*x + 1)^4)/(a^2*x^2 - 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"
479,1,24,25,0.078854,"\text{Not used}","int(((c - c/(a*x))*(a*x + 1)^4)/(a^2*x^2 - 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"
480,1,48,53,0.065482,"\text{Not used}","int((a*x + 1)^4/((c - c/(a*x))*(a^2*x^2 - 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"
481,1,71,71,0.844550,"\text{Not used}","int((a*x + 1)^4/((c - c/(a*x))^2*(a^2*x^2 - 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"
482,1,90,89,0.081425,"\text{Not used}","int((a*x + 1)^4/((c - c/(a*x))^3*(a^2*x^2 - 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"
483,1,109,105,0.097136,"\text{Not used}","int((a*x + 1)^4/((c - c/(a*x))^4*(a^2*x^2 - 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"
484,0,-1,60,0.000000,"\text{Not used}","int(((c - c/(a*x))^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
485,1,136,140,0.847011,"\text{Not used}","int(((c - c/(a*x))^4*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{5\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}-\frac{32\,c^4\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}+\frac{5\,c^4\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}-\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,25{}\mathrm{i}}{2\,a}","Not used",1,"(5*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^4*atan((1 - a^2*x^2)^(1/2)*1i)*25i)/(2*a) + (c^4*(1 - a^2*x^2)^(1/2))/a - (32*c^4*(1 - a^2*x^2)^(1/2))/(3*a^2*x) + (5*c^4*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^4*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
486,1,113,111,0.041430,"\text{Not used}","int(((c - c/(a*x))^3*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{4\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{4\,c^3\,\sqrt{1-a^2\,x^2}}{a^2\,x}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,13{}\mathrm{i}}{2\,a}","Not used",1,"(4*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*13i)/(2*a) + (c^3*(1 - a^2*x^2)^(1/2))/a - (4*c^3*(1 - a^2*x^2)^(1/2))/(a^2*x) + (c^3*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2)","B"
487,1,90,82,0.815586,"\text{Not used}","int(((c - c/(a*x))^2*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{a}","Not used",1,"(3*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/a + (c^2*(1 - a^2*x^2)^(1/2))/a - (c^2*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
488,1,56,50,0.058517,"\text{Not used}","int(((c - c/(a*x))*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{c\,\sqrt{1-a^2\,x^2}}{a}+\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}+\frac{2\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}","Not used",1,"(c*(1 - a^2*x^2)^(1/2))/a + (c*atanh((1 - a^2*x^2)^(1/2)))/a + (2*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
489,1,19,21,0.039671,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c)","B"
490,1,89,63,0.864657,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^2*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{c^2\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c^2) - asinh(x*(-a^2)^(1/2))/(c^2*(-a^2)^(1/2)) + (1 - a^2*x^2)^(1/2)/(c^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
491,1,139,94,0.062548,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^3*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}-\frac{a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{8\,\sqrt{1-a^2\,x^2}}{3\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c^3) - (2*asinh(x*(-a^2)^(1/2)))/(c^3*(-a^2)^(1/2)) - (a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (8*(1 - a^2*x^2)^(1/2))/(3*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a))","B"
492,1,272,125,0.838191,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^4*(a*x + 1)),x)","\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{15\,\left(a^7\,c^4\,x^2-2\,a^6\,c^4\,x+a^5\,c^4\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}+\frac{24\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(2*a^4*(1 - a^2*x^2)^(1/2))/(15*(a^5*c^4 - 2*a^6*c^4*x + a^7*c^4*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^4*(-a^2)^(1/2)) - (4*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^4) + (24*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(5*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
493,0,-1,114,0.000000,"\text{Not used}","int(-((c - c/(a*x))^p*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a\,x}\right)}^p\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^p*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
494,1,63,66,0.105264,"\text{Not used}","int(-((c - c/(a*x))^4*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{32\,c^4\,\ln\left(a\,x+1\right)}{a}-\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}-c^4\,x","Not used",1,"(32*c^4*log(a*x + 1))/a - (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 - c^4*x","B"
495,1,51,55,0.877896,"\text{Not used}","int(-((c - c/(a*x))^3*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{\frac{c^3}{2}-5\,a\,c^3\,x}{a^3\,x^2}-c^3\,x-\frac{11\,c^3\,\ln\left(x\right)}{a}+\frac{16\,c^3\,\ln\left(a\,x+1\right)}{a}","Not used",1,"(c^3/2 - 5*a*c^3*x)/(a^3*x^2) - c^3*x - (11*c^3*log(x))/a + (16*c^3*log(a*x + 1))/a","B"
496,1,42,42,0.872458,"\text{Not used}","int(-((c - c/(a*x))^2*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{8\,c^2\,\ln\left(a\,x+1\right)}{a}-\frac{c^2}{a^2\,x}-\frac{4\,c^2\,\ln\left(x\right)}{a}-c^2\,x","Not used",1,"(8*c^2*log(a*x + 1))/a - c^2/(a^2*x) - (4*c^2*log(x))/a - c^2*x","B"
497,1,25,25,0.066516,"\text{Not used}","int(-((c - c/(a*x))*(a^2*x^2 - 1))/(a*x + 1)^2,x)","\frac{4\,c\,\ln\left(a\,x+1\right)}{a}-\frac{c\,\ln\left(x\right)}{a}-c\,x","Not used",1,"(4*c*log(a*x + 1))/a - (c*log(x))/a - c*x","B"
498,1,18,20,0.040540,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))*(a*x + 1)^2),x)","\frac{\ln\left(a\,x+1\right)-a\,x}{a\,c}","Not used",1,"(log(a*x + 1) - a*x)/(a*c)","B"
499,1,16,18,0.860342,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^2*(a*x + 1)^2),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"
500,1,53,58,0.096387,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^3*(a*x + 1)^2),x)","\frac{\ln\left(a\,x+1\right)}{4\,a\,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{x}{c^3}","Not used",1,"log(a*x + 1)/(4*a*c^3) - 1/(2*a*(c^3 - a*c^3*x)) - (5*log(a*x - 1))/(4*a*c^3) - x/c^3","B"
501,1,68,76,0.096954,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^4*(a*x + 1)^2),x)","\frac{\frac{7\,x}{4}-\frac{3}{2\,a}}{a^2\,c^4\,x^2-2\,a\,c^4\,x+c^4}-\frac{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,"((7*x)/4 - 3/(2*a))/(c^4 + a^2*c^4*x^2 - 2*a*c^4*x) - x/c^4 - (17*log(a*x - 1))/(8*a*c^4) + log(a*x + 1)/(8*a*c^4)","B"
502,1,161,140,0.062478,"\text{Not used}","int(((c - c/(a*x))^3*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{32\,c^3\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{6\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{6\,c^3\,\sqrt{1-a^2\,x^2}}{a^2\,x}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,33{}\mathrm{i}}{2\,a}","Not used",1,"(32*c^3*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*33i)/(2*a) - (c^3*(1 - a^2*x^2)^(1/2))/a - (6*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (6*c^3*(1 - a^2*x^2)^(1/2))/(a^2*x) + (c^3*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2)","B"
503,1,138,111,0.828943,"\text{Not used}","int(((c - c/(a*x))^2*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{16\,c^2\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{5\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{a}","Not used",1,"(16*c^2*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/a - (c^2*(1 - a^2*x^2)^(1/2))/a - (5*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^2*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
504,1,102,77,0.836673,"\text{Not used}","int(((c - c/(a*x))*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}-\frac{c\,\sqrt{1-a^2\,x^2}}{a}-\frac{4\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{8\,c\,\sqrt{1-a^2\,x^2}}{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(c*atanh((1 - a^2*x^2)^(1/2)))/a - (c*(1 - a^2*x^2)^(1/2))/a - (4*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (8*c*(1 - a^2*x^2)^(1/2))/((x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
505,1,90,65,0.060838,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))*(a*x + 1)^3),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c) - (2*asinh(x*(-a^2)^(1/2)))/(c*(-a^2)^(1/2))","B"
506,1,89,63,0.058188,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^2*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}}{c^2\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(c^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^2) - asinh(x*(-a^2)^(1/2))/(c^2*(-a^2)^(1/2))","B"
507,1,116,45,0.857961,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^3*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}}{2\,c^3\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^3\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(2*c^3*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^3) - (1 - a^2*x^2)^(1/2)/(2*c^3*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
508,1,188,96,0.069661,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^4*(a*x + 1)^3),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}+\frac{\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}\right)}-\frac{19\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + asinh(x*(-a^2)^(1/2))/(c^4*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^4) + (1 - a^2*x^2)^(1/2)/(4*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a)) - (19*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a))","B"
509,1,275,125,0.905986,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^5*(a*x + 1)^3),x)","\frac{41\,a\,\sqrt{1-a^2\,x^2}}{60\,\left(a^4\,c^5\,x^2-2\,a^3\,c^5\,x+a^2\,c^5\right)}+\frac{2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^5\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^5}+\frac{\sqrt{1-a^2\,x^2}}{8\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}+\frac{c^5\,\sqrt{-a^2}}{a}\right)}-\frac{383\,\sqrt{1-a^2\,x^2}}{120\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}\right)}-\frac{\sqrt{1-a^2\,x^2}}{10\,\sqrt{-a^2}\,\left(3\,c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}+a^2\,c^5\,x^3\,\sqrt{-a^2}-3\,a\,c^5\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(41*a*(1 - a^2*x^2)^(1/2))/(60*(a^2*c^5 - 2*a^3*c^5*x + a^4*c^5*x^2)) + (2*asinh(x*(-a^2)^(1/2)))/(c^5*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^5) + (1 - a^2*x^2)^(1/2)/(8*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) + (c^5*(-a^2)^(1/2))/a)) - (383*(1 - a^2*x^2)^(1/2))/(120*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a)) - (1 - a^2*x^2)^(1/2)/(10*(-a^2)^(1/2)*(3*c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a + a^2*c^5*x^3*(-a^2)^(1/2) - 3*a*c^5*x^2*(-a^2)^(1/2)))","B"
510,0,-1,225,0.000000,"\text{Not used}","int(((c - c/(a*x))^(9/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(9/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
511,0,-1,181,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
512,0,-1,171,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
513,0,-1,128,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
514,0,-1,84,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
515,0,-1,157,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
516,0,-1,198,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
517,0,-1,249,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
518,0,-1,145,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(9/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(9/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
519,0,-1,120,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
520,0,-1,96,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
521,0,-1,71,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
522,0,-1,51,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
523,0,-1,71,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a*x))^(1/2)*(a^2*x^2 - 1)), x)","F"
524,0,-1,96,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^(3/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a*x))^(3/2)*(a^2*x^2 - 1)), x)","F"
525,0,-1,119,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^(5/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a*x))^(5/2)*(a^2*x^2 - 1)), x)","F"
526,0,-1,146,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a*x))^(7/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a*x))^(7/2)*(a^2*x^2 - 1)), x)","F"
527,0,-1,223,0.000000,"\text{Not used}","int(((c - c/(a*x))^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
528,0,-1,217,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
529,0,-1,176,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
530,0,-1,127,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
531,0,-1,155,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
532,0,-1,195,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2)), x)","F"
533,0,-1,249,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(3/2)), x)","F"
534,0,-1,293,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(3/2)), x)","F"
535,0,-1,225,0.000000,"\text{Not used}","int(((c - c/(a*x))^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
536,0,-1,179,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
537,0,-1,137,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
538,0,-1,126,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
539,0,-1,90,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
540,0,-1,88,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(1/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(1/2)*(a*x + 1)), x)","F"
541,0,-1,159,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(3/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(3/2)*(a*x + 1)), x)","F"
542,0,-1,208,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(5/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(5/2)*(a*x + 1)), x)","F"
543,0,-1,252,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(7/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a*x))^(7/2)*(a*x + 1)), x)","F"
544,0,-1,189,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(9/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(9/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
545,0,-1,164,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
546,0,-1,139,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
547,0,-1,113,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
548,0,-1,93,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
549,0,-1,96,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^(1/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a*x))^(1/2)*(a*x + 1)^2), x)","F"
550,0,-1,95,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^(3/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a*x))^(3/2)*(a*x + 1)^2), x)","F"
551,0,-1,119,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^(5/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a*x))^(5/2)*(a*x + 1)^2), x)","F"
552,0,-1,148,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^(7/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a*x))^(7/2)*(a*x + 1)^2), x)","F"
553,0,-1,173,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a*x))^(9/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a*x))^(9/2)*(a*x + 1)^2), x)","F"
554,0,-1,267,0.000000,"\text{Not used}","int(((c - c/(a*x))^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{9/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
555,0,-1,225,0.000000,"\text{Not used}","int(((c - c/(a*x))^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
556,0,-1,181,0.000000,"\text{Not used}","int(((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
557,0,-1,133,0.000000,"\text{Not used}","int(((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
558,0,-1,123,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
559,0,-1,127,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(1/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(1/2)*(a*x + 1)^3), x)","F"
560,0,-1,131,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(3/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(3/2)*(a*x + 1)^3), x)","F"
561,0,-1,199,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(5/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{5/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(5/2)*(a*x + 1)^3), x)","F"
562,0,-1,251,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(7/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a\,x}\right)}^{7/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a*x))^(7/2)*(a*x + 1)^3), x)","F"
563,1,138,105,0.869990,"\text{Not used}","int((a*x + 1)^3/(x^3*(c - c/(a*x))*(1 - a^2*x^2)^(3/2)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{c\,x}-\frac{4\,a^4\,\sqrt{1-a^2\,x^2}}{3\,\left(c\,a^4\,x^2-2\,c\,a^3\,x+c\,a^2\right)}+\frac{16\,a^3\,\sqrt{1-a^2\,x^2}}{3\,\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(c*x) - (4*a^4*(1 - a^2*x^2)^(1/2))/(3*(a^2*c + a^4*c*x^2 - 2*a^3*c*x)) - (a^2*atan((1 - a^2*x^2)^(1/2)*1i)*4i)/c + (16*a^3*(1 - a^2*x^2)^(1/2))/(3*((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
564,0,-1,57,0.000000,"\text{Not used}","int((x^m*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
565,0,-1,179,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
566,0,-1,135,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
567,0,-1,85,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
568,0,-1,86,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
569,1,44,41,1.122331,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{2\,a^2\,x^2}{3}+\frac{4\,a\,x}{3}+\frac{2}{3}\right)}{x\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - c/(a*x))^(1/2)*((4*a*x)/3 + (2*a^2*x^2)/3 + 2/3))/(x*(1 - a^2*x^2)^(1/2))","B"
570,1,52,84,1.054242,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(-\frac{4\,a^3\,x^3}{15}-\frac{2\,a^2\,x^2}{15}+\frac{8\,a\,x}{15}+\frac{2}{5}\right)}{x^2\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - c/(a*x))^(1/2)*((8*a*x)/15 - (2*a^2*x^2)/15 - (4*a^3*x^3)/15 + 2/5))/(x^2*(1 - a^2*x^2)^(1/2))","B"
571,1,60,128,1.136845,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^4*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{16\,a^4\,x^4}{105}+\frac{8\,a^3\,x^3}{105}-\frac{2\,a^2\,x^2}{105}+\frac{12\,a\,x}{35}+\frac{2}{7}\right)}{x^3\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - c/(a*x))^(1/2)*((12*a*x)/35 - (2*a^2*x^2)/105 + (8*a^3*x^3)/105 + (16*a^4*x^4)/105 + 2/7))/(x^3*(1 - a^2*x^2)^(1/2))","B"
572,1,68,172,1.127463,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1))/(x^5*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(-\frac{32\,a^5\,x^5}{315}-\frac{16\,a^4\,x^4}{315}+\frac{4\,a^3\,x^3}{315}-\frac{2\,a^2\,x^2}{315}+\frac{16\,a\,x}{63}+\frac{2}{9}\right)}{x^4\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - c/(a*x))^(1/2)*((16*a*x)/63 - (2*a^2*x^2)/315 + (4*a^3*x^3)/315 - (16*a^4*x^4)/315 - (32*a^5*x^5)/315 + 2/9))/(x^4*(1 - a^2*x^2)^(1/2))","B"
573,1,111,130,1.349031,"\text{Not used}","int(-(x^3*(c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{365\,x^4\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{64\,c}-\frac{181\,x^4\,\sqrt{c-\frac{c}{a\,x}}}{64}-\frac{275\,x^4\,{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{64\,c^2}+\frac{75\,x^4\,{\left(c-\frac{c}{a\,x}\right)}^{7/2}}{64\,c^3}+\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-\frac{c}{a\,x}}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,75{}\mathrm{i}}{64\,a^4}","Not used",1,"(365*x^4*(c - c/(a*x))^(3/2))/(64*c) - (181*x^4*(c - c/(a*x))^(1/2))/64 - (275*x^4*(c - c/(a*x))^(5/2))/(64*c^2) + (75*x^4*(c - c/(a*x))^(7/2))/(64*c^3) + (c^(1/2)*atan(((c - c/(a*x))^(1/2)*1i)/c^(1/2))*75i)/(64*a^4)","B"
574,1,90,105,1.326364,"\text{Not used}","int(-(x^2*(c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{11\,x^3\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{3\,c}-\frac{21\,x^3\,\sqrt{c-\frac{c}{a\,x}}}{8}-\frac{11\,x^3\,{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{8\,c^2}+\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c-\frac{c}{a\,x}}\,1{}\mathrm{i}}{\sqrt{c}}\right)\,11{}\mathrm{i}}{8\,a^3}","Not used",1,"(11*x^3*(c - c/(a*x))^(3/2))/(3*c) - (21*x^3*(c - c/(a*x))^(1/2))/8 - (11*x^3*(c - c/(a*x))^(5/2))/(8*c^2) + (c^(1/2)*atan(((c - c/(a*x))^(1/2)*1i)/c^(1/2))*11i)/(8*a^3)","B"
575,0,-1,80,0.000000,"\text{Not used}","int(-(x*(c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x*(c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
576,0,-1,51,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
577,0,-1,47,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^2}{x\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)), x)","F"
578,1,24,42,0.896804,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 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"
579,1,32,69,0.908198,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 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"
580,1,77,96,0.909953,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 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"
581,1,98,121,0.899890,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 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"
582,0,-1,292,0.000000,"\text{Not used}","int((x^3*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
583,0,-1,248,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
584,0,-1,204,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
585,0,-1,155,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
586,0,-1,154,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{x\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)), x)","F"
587,0,-1,147,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{x^2\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)), x)","F"
588,0,-1,191,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{x^3\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)), x)","F"
589,0,-1,237,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{x^4\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)), x)","F"
590,0,-1,281,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(a\,x+1\right)}^3}{x^5\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)), x)","F"
591,0,-1,116,0.000000,"\text{Not used}","int((x^m*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^m\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^m*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
592,0,-1,182,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
593,0,-1,138,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
594,0,-1,90,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
595,0,-1,89,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\sqrt{1-a^2\,x^2}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)), x)","F"
596,1,60,84,1.005483,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)),x)","\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{10\,x\,\sqrt{1-a^2\,x^2}}{3}-\frac{2\,\sqrt{1-a^2\,x^2}}{3\,a}\right)}{\frac{x}{a}-x^2}","Not used",1,"((c - c/(a*x))^(1/2)*((10*x*(1 - a^2*x^2)^(1/2))/3 - (2*(1 - a^2*x^2)^(1/2))/(3*a)))/(x/a - x^2)","B"
597,1,79,128,1.050406,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(x^3*(a*x + 1)),x)","\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{2\,\sqrt{1-a^2\,x^2}}{5\,a}-\frac{6\,x\,\sqrt{1-a^2\,x^2}}{5}+\frac{12\,a\,x^2\,\sqrt{1-a^2\,x^2}}{5}\right)}{x^3-\frac{x^2}{a}}","Not used",1,"((c - c/(a*x))^(1/2)*((2*(1 - a^2*x^2)^(1/2))/(5*a) - (6*x*(1 - a^2*x^2)^(1/2))/5 + (12*a*x^2*(1 - a^2*x^2)^(1/2))/5))/(x^3 - x^2/a)","B"
598,1,86,172,1.093794,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(1/2))/(x^4*(a*x + 1)),x)","-\frac{152\,\sqrt{1-a^2\,x^2}\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3\,\left(a\,x-1\right)}-\frac{26\,\sqrt{1-a^2\,x^2}\,\left(8\,a^2\,x^2+4\,a\,x+7\right)\,\sqrt{\frac{c\,\left(a\,x-1\right)}{a\,x}}}{105\,x^3}","Not used",1,"- (152*(1 - a^2*x^2)^(1/2)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3*(a*x - 1)) - (26*(1 - a^2*x^2)^(1/2)*(4*a*x + 8*a^2*x^2 + 7)*((c*(a*x - 1))/(a*x))^(1/2))/(105*x^3)","B"
599,0,-1,172,0.000000,"\text{Not used}","int(-(x^3*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^3*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
600,0,-1,147,0.000000,"\text{Not used}","int(-(x^2*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^2*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
601,0,-1,122,0.000000,"\text{Not used}","int(-(x*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x*(c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
602,0,-1,93,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
603,0,-1,86,0.000000,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a\,x}}\,\left(a^2\,x^2-1\right)}{x\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2), x)","F"
604,1,67,82,1.417089,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x^2*(a*x + 1)^2),x)","4\,a\,\sqrt{c-\frac{c}{a\,x}}+\frac{2\,a\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{3\,c}-4\,\sqrt{2}\,a\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-\frac{c}{a\,x}}}{2\,\sqrt{c}}\right)","Not used",1,"4*a*(c - c/(a*x))^(1/2) + (2*a*(c - c/(a*x))^(3/2))/(3*c) - 4*2^(1/2)*a*c^(1/2)*atanh((2^(1/2)*(c - c/(a*x))^(1/2))/(2*c^(1/2)))","B"
605,1,96,113,1.740022,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x^3*(a*x + 1)^2),x)","-4\,a^2\,\sqrt{c-\frac{c}{a\,x}}-\frac{2\,a^2\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{3\,c}-\frac{2\,a^2\,{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{5\,c^2}-\sqrt{2}\,a^2\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-\frac{c}{a\,x}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"- 4*a^2*(c - c/(a*x))^(1/2) - (2*a^2*(c - c/(a*x))^(3/2))/(3*c) - (2*a^2*(c - c/(a*x))^(5/2))/(5*c^2) - 2^(1/2)*a^2*c^(1/2)*atan((2^(1/2)*(c - c/(a*x))^(1/2)*1i)/(2*c^(1/2)))*4i","B"
606,1,96,113,2.105119,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x^4*(a*x + 1)^2),x)","4\,a^3\,\sqrt{c-\frac{c}{a\,x}}+\frac{2\,a^3\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{3\,c}+\frac{2\,a^3\,{\left(c-\frac{c}{a\,x}\right)}^{7/2}}{7\,c^3}+\sqrt{2}\,a^3\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-\frac{c}{a\,x}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"4*a^3*(c - c/(a*x))^(1/2) + (2*a^3*(c - c/(a*x))^(3/2))/(3*c) + (2*a^3*(c - c/(a*x))^(7/2))/(7*c^3) + 2^(1/2)*a^3*c^(1/2)*atan((2^(1/2)*(c - c/(a*x))^(1/2)*1i)/(2*c^(1/2)))*4i","B"
607,1,138,163,2.619734,"\text{Not used}","int(-((c - c/(a*x))^(1/2)*(a^2*x^2 - 1))/(x^5*(a*x + 1)^2),x)","\frac{2\,a^4\,{\left(c-\frac{c}{a\,x}\right)}^{7/2}}{7\,c^3}-\frac{2\,a^4\,{\left(c-\frac{c}{a\,x}\right)}^{3/2}}{3\,c}-\frac{2\,a^4\,{\left(c-\frac{c}{a\,x}\right)}^{5/2}}{5\,c^2}-4\,a^4\,\sqrt{c-\frac{c}{a\,x}}-\frac{2\,a^4\,{\left(c-\frac{c}{a\,x}\right)}^{9/2}}{9\,c^4}-\sqrt{2}\,a^4\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-\frac{c}{a\,x}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,4{}\mathrm{i}","Not used",1,"(2*a^4*(c - c/(a*x))^(7/2))/(7*c^3) - (2*a^4*(c - c/(a*x))^(3/2))/(3*c) - (2*a^4*(c - c/(a*x))^(5/2))/(5*c^2) - 4*a^4*(c - c/(a*x))^(1/2) - (2*a^4*(c - c/(a*x))^(9/2))/(9*c^4) - 2^(1/2)*a^4*c^(1/2)*atan((2^(1/2)*(c - c/(a*x))^(1/2)*1i)/(2*c^(1/2)))*4i","B"
608,0,-1,262,0.000000,"\text{Not used}","int((x^3*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^3*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
609,0,-1,218,0.000000,"\text{Not used}","int((x^2*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^2*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
610,0,-1,174,0.000000,"\text{Not used}","int((x*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x\,\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x*(c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
611,0,-1,123,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
612,0,-1,124,0.000000,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a\,x}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3), x)","F"
613,1,80,123,1.123663,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^2*(a*x + 1)^3),x)","\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{46\,x^2\,\sqrt{1-a^2\,x^2}}{3}-\frac{2\,\sqrt{1-a^2\,x^2}}{3\,a^2}+\frac{20\,x\,\sqrt{1-a^2\,x^2}}{3\,a}\right)}{\frac{x}{a^2}-x^3}","Not used",1,"((c - c/(a*x))^(1/2)*((46*x^2*(1 - a^2*x^2)^(1/2))/3 - (2*(1 - a^2*x^2)^(1/2))/(3*a^2) + (20*x*(1 - a^2*x^2)^(1/2))/(3*a)))/(x/a^2 - x^3)","B"
614,1,99,166,1.203042,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^3*(a*x + 1)^3),x)","\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{2\,\sqrt{1-a^2\,x^2}}{5\,a^2}+\frac{158\,x^2\,\sqrt{1-a^2\,x^2}}{15}-\frac{32\,x\,\sqrt{1-a^2\,x^2}}{15\,a}+\frac{316\,a\,x^3\,\sqrt{1-a^2\,x^2}}{15}\right)}{x^4-\frac{x^2}{a^2}}","Not used",1,"((c - c/(a*x))^(1/2)*((2*(1 - a^2*x^2)^(1/2))/(5*a^2) + (158*x^2*(1 - a^2*x^2)^(1/2))/15 - (32*x*(1 - a^2*x^2)^(1/2))/(15*a) + (316*a*x^3*(1 - a^2*x^2)^(1/2))/15))/(x^4 - x^2/a^2)","B"
615,1,120,213,1.207651,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^4*(a*x + 1)^3),x)","-\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{44\,x\,\sqrt{1-a^2\,x^2}}{35\,a}-\frac{334\,x^2\,\sqrt{1-a^2\,x^2}}{105}-\frac{2\,\sqrt{1-a^2\,x^2}}{7\,a^2}+\frac{1336\,a\,x^3\,\sqrt{1-a^2\,x^2}}{105}+\frac{2672\,a^2\,x^4\,\sqrt{1-a^2\,x^2}}{105}\right)}{x^5-\frac{x^3}{a^2}}","Not used",1,"-((c - c/(a*x))^(1/2)*((44*x*(1 - a^2*x^2)^(1/2))/(35*a) - (334*x^2*(1 - a^2*x^2)^(1/2))/105 - (2*(1 - a^2*x^2)^(1/2))/(7*a^2) + (1336*a*x^3*(1 - a^2*x^2)^(1/2))/105 + (2672*a^2*x^4*(1 - a^2*x^2)^(1/2))/105))/(x^5 - x^3/a^2)","B"
616,1,139,257,1.211309,"\text{Not used}","int(((c - c/(a*x))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^5*(a*x + 1)^3),x)","\frac{\sqrt{c-\frac{c}{a\,x}}\,\left(\frac{2\,\sqrt{1-a^2\,x^2}}{9\,a^2}+\frac{82\,x^2\,\sqrt{1-a^2\,x^2}}{45}-\frac{8\,x\,\sqrt{1-a^2\,x^2}}{9\,a}-\frac{164\,a\,x^3\,\sqrt{1-a^2\,x^2}}{45}+\frac{656\,a^2\,x^4\,\sqrt{1-a^2\,x^2}}{45}+\frac{1312\,a^3\,x^5\,\sqrt{1-a^2\,x^2}}{45}\right)}{x^6-\frac{x^4}{a^2}}","Not used",1,"((c - c/(a*x))^(1/2)*((2*(1 - a^2*x^2)^(1/2))/(9*a^2) + (82*x^2*(1 - a^2*x^2)^(1/2))/45 - (8*x*(1 - a^2*x^2)^(1/2))/(9*a) - (164*a*x^3*(1 - a^2*x^2)^(1/2))/45 + (656*a^2*x^4*(1 - a^2*x^2)^(1/2))/45 + (1312*a^3*x^5*(1 - a^2*x^2)^(1/2))/45))/(x^6 - x^4/a^2)","B"
617,0,-1,64,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a*x))^p, x)","F"
618,0,-1,54,0.000000,"\text{Not used}","int(exp(-2*p*atanh(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{-2\,p\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(-2*p*atanh(a*x))*(c - c/(a*x))^p, x)","F"
619,0,-1,50,0.000000,"\text{Not used}","int(exp(2*p*atanh(a*x))*(c - c/(a*x))^p,x)","\int {\mathrm{e}}^{2\,p\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^p \,d x","Not used",1,"int(exp(2*p*atanh(a*x))*(c - c/(a*x))^p, x)","F"
620,0,-1,130,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a*x))^2,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^2 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a*x))^2, x)","F"
621,0,-1,187,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(c-\frac{c}{a\,x}\right) \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a*x)), x)","F"
622,0,-1,111,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a*x)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-\frac{c}{a\,x}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a*x)), x)","F"
623,0,-1,139,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a*x))^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-\frac{c}{a\,x}\right)}^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a*x))^2, x)","F"
624,0,-1,54,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a*x))^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a\,x}\right)}^{3/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a*x))^(3/2), x)","F"
625,0,-1,54,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a*x))^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-\frac{c}{a\,x}} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a*x))^(1/2), x)","F"
626,0,-1,56,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a*x))^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-\frac{c}{a\,x}}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a*x))^(1/2), x)","F"
627,0,-1,56,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a*x))^(3/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-\frac{c}{a\,x}\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a*x))^(3/2), x)","F"
628,1,228,169,0.884978,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}+\frac{176\,c^4\,\sqrt{1-a^2\,x^2}}{105\,a^2\,x}-\frac{29\,c^4\,\sqrt{1-a^2\,x^2}}{16\,a^3\,x^2}-\frac{122\,c^4\,\sqrt{1-a^2\,x^2}}{105\,a^4\,x^3}+\frac{19\,c^4\,\sqrt{1-a^2\,x^2}}{24\,a^5\,x^4}+\frac{22\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^6\,x^5}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{6\,a^7\,x^6}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{7\,a^8\,x^7}-\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,35{}\mathrm{i}}{16\,a}","Not used",1,"(c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^4*atan((1 - a^2*x^2)^(1/2)*1i)*35i)/(16*a) - (c^4*(1 - a^2*x^2)^(1/2))/a + (176*c^4*(1 - a^2*x^2)^(1/2))/(105*a^2*x) - (29*c^4*(1 - a^2*x^2)^(1/2))/(16*a^3*x^2) - (122*c^4*(1 - a^2*x^2)^(1/2))/(105*a^4*x^3) + (19*c^4*(1 - a^2*x^2)^(1/2))/(24*a^5*x^4) + (22*c^4*(1 - a^2*x^2)^(1/2))/(35*a^6*x^5) - (c^4*(1 - a^2*x^2)^(1/2))/(6*a^7*x^6) - (c^4*(1 - a^2*x^2)^(1/2))/(7*a^8*x^7)","B"
629,1,182,136,0.053770,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}+\frac{23\,c^3\,\sqrt{1-a^2\,x^2}}{15\,a^2\,x}-\frac{9\,c^3\,\sqrt{1-a^2\,x^2}}{8\,a^3\,x^2}-\frac{11\,c^3\,\sqrt{1-a^2\,x^2}}{15\,a^4\,x^3}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{4\,a^5\,x^4}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{5\,a^6\,x^5}-\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{8\,a}","Not used",1,"(c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*15i)/(8*a) - (c^3*(1 - a^2*x^2)^(1/2))/a + (23*c^3*(1 - a^2*x^2)^(1/2))/(15*a^2*x) - (9*c^3*(1 - a^2*x^2)^(1/2))/(8*a^3*x^2) - (11*c^3*(1 - a^2*x^2)^(1/2))/(15*a^4*x^3) + (c^3*(1 - a^2*x^2)^(1/2))/(4*a^5*x^4) + (c^3*(1 - a^2*x^2)^(1/2))/(5*a^6*x^5)","B"
630,1,136,103,0.040033,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}+\frac{4\,c^2\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}-\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a}","Not used",1,"(c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(2*a) - (c^2*(1 - a^2*x^2)^(1/2))/a + (4*c^2*(1 - a^2*x^2)^(1/2))/(3*a^2*x) - (c^2*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^2*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
631,1,76,58,0.831123,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}-\frac{c\,\sqrt{1-a^2\,x^2}}{a}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c\,\sqrt{1-a^2\,x^2}}{a^2\,x}","Not used",1,"(c*atanh((1 - a^2*x^2)^(1/2)))/a - (c*(1 - a^2*x^2)^(1/2))/a + (c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
632,1,90,61,0.837100,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))*(1 - a^2*x^2)^(1/2)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c) - (1 - a^2*x^2)^(1/2)/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
633,1,188,96,0.070377,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}+\frac{\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}-\frac{19\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) + asinh(x*(-a^2)^(1/2))/(c^2*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c^2) + (1 - a^2*x^2)^(1/2)/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) - (19*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
634,1,367,129,0.882300,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^3*(1 - a^2*x^2)^(1/2)),x)","\frac{5\,a\,\sqrt{1-a^2\,x^2}}{12\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}-\frac{a^6\,\sqrt{1-a^2\,x^2}}{30\,\left(a^9\,c^3\,x^2-2\,a^8\,c^3\,x+a^7\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}+\frac{25\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{493\,\sqrt{1-a^2\,x^2}}{240\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(5*a*(1 - a^2*x^2)^(1/2))/(12*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (a*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) + asinh(x*(-a^2)^(1/2))/(c^3*(-a^2)^(1/2)) - (a^6*(1 - a^2*x^2)^(1/2))/(30*(a^7*c^3 - 2*a^8*c^3*x + a^9*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^3) + (25*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) - (493*(1 - a^2*x^2)^(1/2))/(240*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
635,1,613,162,0.973641,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^4*(1 - a^2*x^2)^(1/2)),x)","\frac{35\,a\,\sqrt{1-a^2\,x^2}}{48\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{8\,\left(a^4\,c^4\,x^2+2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{140\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}-\frac{13\,a^8\,\sqrt{1-a^2\,x^2}}{120\,\left(a^{11}\,c^4\,x^2-2\,a^{10}\,c^4\,x+a^9\,c^4\right)}-\frac{a^8\,\sqrt{1-a^2\,x^2}}{120\,\left(a^{11}\,c^4\,x^2+2\,a^{10}\,c^4\,x+a^9\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}+\frac{a\,\sqrt{1-a^2\,x^2}}{56\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{379\,\sqrt{1-a^2\,x^2}}{480\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}\right)}-\frac{1657\,\sqrt{1-a^2\,x^2}}{672\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{80\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}+3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}-\frac{17\,\sqrt{1-a^2\,x^2}}{112\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(35*a*(1 - a^2*x^2)^(1/2))/(48*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (a*(1 - a^2*x^2)^(1/2))/(8*(a^2*c^4 + 2*a^3*c^4*x + a^4*c^4*x^2)) + asinh(x*(-a^2)^(1/2))/(c^4*(-a^2)^(1/2)) + (a^3*(1 - a^2*x^2)^(1/2))/(140*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) - (13*a^8*(1 - a^2*x^2)^(1/2))/(120*(a^9*c^4 - 2*a^10*c^4*x + a^11*c^4*x^2)) - (a^8*(1 - a^2*x^2)^(1/2))/(120*(a^9*c^4 + 2*a^10*c^4*x + a^11*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^4) + (a*(1 - a^2*x^2)^(1/2))/(56*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (379*(1 - a^2*x^2)^(1/2))/(480*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a)) - (1657*(1 - a^2*x^2)^(1/2))/(672*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(80*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) + 3*a*c^4*x^2*(-a^2)^(1/2))) - (17*(1 - a^2*x^2)^(1/2))/(112*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
636,1,90,128,0.886296,"\text{Not used}","int(-((c - c/(a^2*x^2))^5*(a*x + 1)^2)/(a^2*x^2 - 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"
637,1,66,91,0.066088,"\text{Not used}","int(-((c - c/(a^2*x^2))^4*(a*x + 1)^2)/(a^2*x^2 - 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"
638,1,57,78,0.877880,"\text{Not used}","int(-((c - c/(a^2*x^2))^3*(a*x + 1)^2)/(a^2*x^2 - 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"
639,1,35,41,0.049981,"\text{Not used}","int(-((c - c/(a^2*x^2))^2*(a*x + 1)^2)/(a^2*x^2 - 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"
640,1,24,21,0.836904,"\text{Not used}","int(-((c - c/(a^2*x^2))*(a*x + 1)^2)/(a^2*x^2 - 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"
641,1,35,38,0.050203,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))*(a^2*x^2 - 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"
642,1,68,76,0.098929,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^2*(a^2*x^2 - 1)),x)","\frac{\frac{7\,x}{4}-\frac{3}{2\,a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}-\frac{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,"((7*x)/4 - 3/(2*a))/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) - x/c^2 - (17*log(a*x - 1))/(8*a*c^2) + log(a*x + 1)/(8*a*c^2)","B"
643,1,94,111,0.116353,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^3*(a^2*x^2 - 1)),x)","\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{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,"((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) - x/c^3 - (9*log(a*x - 1))/(4*a*c^3) + log(a*x + 1)/(4*a*c^3)","B"
644,1,144,146,0.150739,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^4*(a^2*x^2 - 1)),x)","\frac{47\,\ln\left(a\,x+1\right)}{128\,a\,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{x}{c^4}","Not used",1,"(47*log(a*x + 1))/(128*a*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) - x/c^4","B"
645,1,228,191,0.891539,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}-\frac{3\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{156\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^2\,x}-\frac{15\,c^4\,\sqrt{1-a^2\,x^2}}{16\,a^3\,x^2}+\frac{62\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^4\,x^3}+\frac{11\,c^4\,\sqrt{1-a^2\,x^2}}{8\,a^5\,x^4}-\frac{6\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^6\,x^5}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{2\,a^7\,x^6}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{7\,a^8\,x^7}+\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{16\,a}","Not used",1,"(c^4*atan((1 - a^2*x^2)^(1/2)*1i)*15i)/(16*a) - (3*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^4*(1 - a^2*x^2)^(1/2))/a - (156*c^4*(1 - a^2*x^2)^(1/2))/(35*a^2*x) - (15*c^4*(1 - a^2*x^2)^(1/2))/(16*a^3*x^2) + (62*c^4*(1 - a^2*x^2)^(1/2))/(35*a^4*x^3) + (11*c^4*(1 - a^2*x^2)^(1/2))/(8*a^5*x^4) - (6*c^4*(1 - a^2*x^2)^(1/2))/(35*a^6*x^5) - (c^4*(1 - a^2*x^2)^(1/2))/(2*a^7*x^6) - (c^4*(1 - a^2*x^2)^(1/2))/(7*a^8*x^7)","B"
646,1,182,157,0.065523,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{3\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{19\,c^3\,\sqrt{1-a^2\,x^2}}{5\,a^2\,x}-\frac{11\,c^3\,\sqrt{1-a^2\,x^2}}{8\,a^3\,x^2}+\frac{3\,c^3\,\sqrt{1-a^2\,x^2}}{5\,a^4\,x^3}+\frac{3\,c^3\,\sqrt{1-a^2\,x^2}}{4\,a^5\,x^4}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{5\,a^6\,x^5}+\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a}","Not used",1,"(c^3*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(8*a) - (3*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^3*(1 - a^2*x^2)^(1/2))/a - (19*c^3*(1 - a^2*x^2)^(1/2))/(5*a^2*x) - (11*c^3*(1 - a^2*x^2)^(1/2))/(8*a^3*x^2) + (3*c^3*(1 - a^2*x^2)^(1/2))/(5*a^4*x^3) + (3*c^3*(1 - a^2*x^2)^(1/2))/(4*a^5*x^4) + (c^3*(1 - a^2*x^2)^(1/2))/(5*a^6*x^5)","B"
647,1,136,124,0.824020,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{8\,c^2\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}-\frac{3\,c^2\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}-\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}","Not used",1,"(c^2*(1 - a^2*x^2)^(1/2))/a - (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/(2*a) - (3*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (8*c^2*(1 - a^2*x^2)^(1/2))/(3*a^2*x) - (3*c^2*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^2*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
648,1,81,73,0.037874,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c\,\sqrt{1-a^2\,x^2}}{a}-\frac{3\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{a}","Not used",1,"(c*(1 - a^2*x^2)^(1/2))/a - (3*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/a + (c*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
649,1,129,95,0.070533,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{13\,\sqrt{1-a^2\,x^2}}{3\,\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}-\frac{2\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(c\,a^4\,x^2-2\,c\,a^3\,x+c\,a^2\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a*c) - (13*(1 - a^2*x^2)^(1/2))/(3*((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (3*asinh(x*(-a^2)^(1/2)))/(c*(-a^2)^(1/2)) - (2*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c + a^4*c*x^2 - 2*a^3*c*x))","B"
650,1,272,125,0.844802,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^2*(1 - a^2*x^2)^(3/2)),x)","\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{15\,\left(a^7\,c^2\,x^2-2\,a^6\,c^2\,x+a^5\,c^2\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{4\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}+\frac{24\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}+a^2\,c^2\,x^3\,\sqrt{-a^2}-3\,a\,c^2\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(2*a^4*(1 - a^2*x^2)^(1/2))/(15*(a^5*c^2 - 2*a^6*c^2*x + a^7*c^2*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^2*(-a^2)^(1/2)) - (4*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^2) + (24*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(5*(-a^2)^(1/2)*(3*c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a + a^2*c^2*x^3*(-a^2)^(1/2) - 3*a*c^2*x^2*(-a^2)^(1/2)))","B"
651,1,1548,155,2.609207,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^3*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{3\,a^7\,\sqrt{1-a^2\,x^2}}{112\,\left(a^8\,c^3+c^3\,x\,{\left(-a^2\right)}^{9/2}\,4{}\mathrm{i}+6\,a^{10}\,c^3\,x^2+a^{12}\,c^3\,x^4+a^2\,c^3\,x^3\,{\left(-a^2\right)}^{9/2}\,4{}\mathrm{i}\right)}-\frac{a^9\,\sqrt{1-a^2\,x^2}}{112\,\left(a^{10}\,c^3-c^3\,x\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}+6\,a^{12}\,c^3\,x^2+a^{14}\,c^3\,x^4-a^2\,c^3\,x^3\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}\right)}-\frac{a^9\,\sqrt{1-a^2\,x^2}}{112\,\left(a^{10}\,c^3+c^3\,x\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}+6\,a^{12}\,c^3\,x^2+a^{14}\,c^3\,x^4+a^2\,c^3\,x^3\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}\right)}-\frac{537\,a^7\,\sqrt{1-a^2\,x^2}}{1120\,\left(a^8\,c^3+a^{10}\,c^3\,x^2-c^3\,x\,{\left(-a^2\right)}^{9/2}\,2{}\mathrm{i}\right)}-\frac{537\,a^7\,\sqrt{1-a^2\,x^2}}{1120\,\left(a^8\,c^3+a^{10}\,c^3\,x^2+c^3\,x\,{\left(-a^2\right)}^{9/2}\,2{}\mathrm{i}\right)}-\frac{417\,a^9\,\sqrt{1-a^2\,x^2}}{1120\,\left(a^{10}\,c^3+a^{12}\,c^3\,x^2-c^3\,x\,{\left(-a^2\right)}^{11/2}\,2{}\mathrm{i}\right)}-\frac{417\,a^9\,\sqrt{1-a^2\,x^2}}{1120\,\left(a^{10}\,c^3+a^{12}\,c^3\,x^2+c^3\,x\,{\left(-a^2\right)}^{11/2}\,2{}\mathrm{i}\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}+\frac{71\,\sqrt{1-a^2\,x^2}}{280\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}+a^2\,c^3\,x^3\,\sqrt{-a^2}+c^3\,1{}\mathrm{i}+a^2\,c^3\,x^2\,3{}\mathrm{i}\right)}-\frac{71\,\sqrt{1-a^2\,x^2}}{280\,\sqrt{-a^2}\,\left(-3\,c^3\,x\,\sqrt{-a^2}-a^2\,c^3\,x^3\,\sqrt{-a^2}+c^3\,1{}\mathrm{i}+a^2\,c^3\,x^2\,3{}\mathrm{i}\right)}+\frac{a^7\,\sqrt{1-a^2\,x^2}\,6{}\mathrm{i}}{35\,\left(3\,c^3\,x\,{\left(-a^2\right)}^{9/2}+a^2\,c^3\,x^3\,{\left(-a^2\right)}^{9/2}+a^8\,c^3\,1{}\mathrm{i}+a^{10}\,c^3\,x^2\,3{}\mathrm{i}\right)}+\frac{a^7\,\sqrt{1-a^2\,x^2}\,6{}\mathrm{i}}{35\,\left(-3\,c^3\,x\,{\left(-a^2\right)}^{9/2}-a^2\,c^3\,x^3\,{\left(-a^2\right)}^{9/2}+a^8\,c^3\,1{}\mathrm{i}+a^{10}\,c^3\,x^2\,3{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,23{}\mathrm{i}}{280\,\left(3\,c^3\,x\,{\left(-a^2\right)}^{11/2}+a^2\,c^3\,x^3\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^3\,1{}\mathrm{i}+a^{12}\,c^3\,x^2\,3{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,23{}\mathrm{i}}{280\,\left(-3\,c^3\,x\,{\left(-a^2\right)}^{11/2}-a^2\,c^3\,x^3\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^3\,1{}\mathrm{i}+a^{12}\,c^3\,x^2\,3{}\mathrm{i}\right)}+\frac{181\,\sqrt{1-a^2\,x^2}}{70\,\left(c^3\,x\,\sqrt{-a^2}+c^3\,1{}\mathrm{i}\right)\,\sqrt{-a^2}}-\frac{181\,\sqrt{1-a^2\,x^2}}{70\,\left(-c^3\,x\,\sqrt{-a^2}+c^3\,1{}\mathrm{i}\right)\,\sqrt{-a^2}}+\frac{a^7\,\sqrt{1-a^2\,x^2}\,1143{}\mathrm{i}}{1120\,\left(c^3\,x\,{\left(-a^2\right)}^{9/2}+a^8\,c^3\,1{}\mathrm{i}\right)}+\frac{a^7\,\sqrt{1-a^2\,x^2}\,1143{}\mathrm{i}}{1120\,\left(-c^3\,x\,{\left(-a^2\right)}^{9/2}+a^8\,c^3\,1{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1823{}\mathrm{i}}{1120\,\left(c^3\,x\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^3\,1{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1823{}\mathrm{i}}{1120\,\left(-c^3\,x\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^3\,1{}\mathrm{i}\right)}-\frac{3\,a^7\,\sqrt{1-a^2\,x^2}}{112\,\left(a^8\,c^3-c^3\,x\,{\left(-a^2\right)}^{9/2}\,4{}\mathrm{i}+6\,a^{10}\,c^3\,x^2+a^{12}\,c^3\,x^4-a^2\,c^3\,x^3\,{\left(-a^2\right)}^{9/2}\,4{}\mathrm{i}\right)}+\frac{\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{28\,\sqrt{-a^2}\,\left(c^3-c^3\,x\,\sqrt{-a^2}\,4{}\mathrm{i}+6\,a^2\,c^3\,x^2+a^4\,c^3\,x^4-a^2\,c^3\,x^3\,\sqrt{-a^2}\,4{}\mathrm{i}\right)}-\frac{\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{28\,\sqrt{-a^2}\,\left(c^3+c^3\,x\,\sqrt{-a^2}\,4{}\mathrm{i}+6\,a^2\,c^3\,x^2+a^4\,c^3\,x^4+a^2\,c^3\,x^3\,\sqrt{-a^2}\,4{}\mathrm{i}\right)}+\frac{\sqrt{1-a^2\,x^2}\,477{}\mathrm{i}}{560\,\sqrt{-a^2}\,\left(c^3+a^2\,c^3\,x^2-c^3\,x\,\sqrt{-a^2}\,2{}\mathrm{i}\right)}-\frac{\sqrt{1-a^2\,x^2}\,477{}\mathrm{i}}{560\,\sqrt{-a^2}\,\left(c^3+a^2\,c^3\,x^2+c^3\,x\,\sqrt{-a^2}\,2{}\mathrm{i}\right)}","Not used",1,"(71*(1 - a^2*x^2)^(1/2))/(280*(-a^2)^(1/2)*(c^3*1i + 3*c^3*x*(-a^2)^(1/2) + a^2*c^3*x^2*3i + a^2*c^3*x^3*(-a^2)^(1/2))) - (3*a^7*(1 - a^2*x^2)^(1/2))/(112*(a^8*c^3 + c^3*x*(-a^2)^(9/2)*4i + 6*a^10*c^3*x^2 + a^12*c^3*x^4 + a^2*c^3*x^3*(-a^2)^(9/2)*4i)) - (a^9*(1 - a^2*x^2)^(1/2))/(112*(a^10*c^3 - c^3*x*(-a^2)^(11/2)*4i + 6*a^12*c^3*x^2 + a^14*c^3*x^4 - a^2*c^3*x^3*(-a^2)^(11/2)*4i)) - (a^9*(1 - a^2*x^2)^(1/2))/(112*(a^10*c^3 + c^3*x*(-a^2)^(11/2)*4i + 6*a^12*c^3*x^2 + a^14*c^3*x^4 + a^2*c^3*x^3*(-a^2)^(11/2)*4i)) - (537*a^7*(1 - a^2*x^2)^(1/2))/(1120*(a^8*c^3 - c^3*x*(-a^2)^(9/2)*2i + a^10*c^3*x^2)) - (537*a^7*(1 - a^2*x^2)^(1/2))/(1120*(a^8*c^3 + c^3*x*(-a^2)^(9/2)*2i + a^10*c^3*x^2)) - (417*a^9*(1 - a^2*x^2)^(1/2))/(1120*(a^10*c^3 - c^3*x*(-a^2)^(11/2)*2i + a^12*c^3*x^2)) - (417*a^9*(1 - a^2*x^2)^(1/2))/(1120*(a^10*c^3 + c^3*x*(-a^2)^(11/2)*2i + a^12*c^3*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^3*(-a^2)^(1/2)) - (3*a^7*(1 - a^2*x^2)^(1/2))/(112*(a^8*c^3 - c^3*x*(-a^2)^(9/2)*4i + 6*a^10*c^3*x^2 + a^12*c^3*x^4 - a^2*c^3*x^3*(-a^2)^(9/2)*4i)) - (71*(1 - a^2*x^2)^(1/2))/(280*(-a^2)^(1/2)*(c^3*1i - 3*c^3*x*(-a^2)^(1/2) + a^2*c^3*x^2*3i - a^2*c^3*x^3*(-a^2)^(1/2))) + (a^7*(1 - a^2*x^2)^(1/2)*6i)/(35*(a^8*c^3*1i + 3*c^3*x*(-a^2)^(9/2) + a^10*c^3*x^2*3i + a^2*c^3*x^3*(-a^2)^(9/2))) + (a^7*(1 - a^2*x^2)^(1/2)*6i)/(35*(a^8*c^3*1i - 3*c^3*x*(-a^2)^(9/2) + a^10*c^3*x^2*3i - a^2*c^3*x^3*(-a^2)^(9/2))) + (a^9*(1 - a^2*x^2)^(1/2)*23i)/(280*(a^10*c^3*1i + 3*c^3*x*(-a^2)^(11/2) + a^12*c^3*x^2*3i + a^2*c^3*x^3*(-a^2)^(11/2))) + (a^9*(1 - a^2*x^2)^(1/2)*23i)/(280*(a^10*c^3*1i - 3*c^3*x*(-a^2)^(11/2) + a^12*c^3*x^2*3i - a^2*c^3*x^3*(-a^2)^(11/2))) + (181*(1 - a^2*x^2)^(1/2))/(70*(c^3*1i + c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (181*(1 - a^2*x^2)^(1/2))/(70*(c^3*1i - c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (a^7*(1 - a^2*x^2)^(1/2)*1143i)/(1120*(a^8*c^3*1i + c^3*x*(-a^2)^(9/2))) + (a^7*(1 - a^2*x^2)^(1/2)*1143i)/(1120*(a^8*c^3*1i - c^3*x*(-a^2)^(9/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1823i)/(1120*(a^10*c^3*1i + c^3*x*(-a^2)^(11/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1823i)/(1120*(a^10*c^3*1i - c^3*x*(-a^2)^(11/2))) + (1 - a^2*x^2)^(1/2)/(a*c^3) + ((1 - a^2*x^2)^(1/2)*1i)/(28*(-a^2)^(1/2)*(c^3 - c^3*x*(-a^2)^(1/2)*4i + 6*a^2*c^3*x^2 + a^4*c^3*x^4 - a^2*c^3*x^3*(-a^2)^(1/2)*4i)) - ((1 - a^2*x^2)^(1/2)*1i)/(28*(-a^2)^(1/2)*(c^3 + c^3*x*(-a^2)^(1/2)*4i + 6*a^2*c^3*x^2 + a^4*c^3*x^4 + a^2*c^3*x^3*(-a^2)^(1/2)*4i)) + ((1 - a^2*x^2)^(1/2)*477i)/(560*(-a^2)^(1/2)*(c^3 - c^3*x*(-a^2)^(1/2)*2i + a^2*c^3*x^2)) - ((1 - a^2*x^2)^(1/2)*477i)/(560*(-a^2)^(1/2)*(c^3 + c^3*x*(-a^2)^(1/2)*2i + a^2*c^3*x^2))","B"
652,1,2165,185,4.434617,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^4*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}-\frac{109\,a^9\,\sqrt{1-a^2\,x^2}}{1344\,\left(a^{10}\,c^4+c^4\,x\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}+6\,a^{12}\,c^4\,x^2+a^{14}\,c^4\,x^4+a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}\right)}-\frac{145\,a^{11}\,\sqrt{1-a^2\,x^2}}{4032\,\left(a^{12}\,c^4-c^4\,x\,{\left(-a^2\right)}^{13/2}\,4{}\mathrm{i}+6\,a^{14}\,c^4\,x^2+a^{16}\,c^4\,x^4-a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}\,4{}\mathrm{i}\right)}-\frac{145\,a^{11}\,\sqrt{1-a^2\,x^2}}{4032\,\left(a^{12}\,c^4+c^4\,x\,{\left(-a^2\right)}^{13/2}\,4{}\mathrm{i}+6\,a^{14}\,c^4\,x^2+a^{16}\,c^4\,x^4+a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}\,4{}\mathrm{i}\right)}-\frac{14711\,a^9\,\sqrt{1-a^2\,x^2}}{26880\,\left(a^{10}\,c^4+a^{12}\,c^4\,x^2-c^4\,x\,{\left(-a^2\right)}^{11/2}\,2{}\mathrm{i}\right)}-\frac{14711\,a^9\,\sqrt{1-a^2\,x^2}}{26880\,\left(a^{10}\,c^4+a^{12}\,c^4\,x^2+c^4\,x\,{\left(-a^2\right)}^{11/2}\,2{}\mathrm{i}\right)}-\frac{8947\,a^{11}\,\sqrt{1-a^2\,x^2}}{16128\,\left(a^{12}\,c^4+a^{14}\,c^4\,x^2-c^4\,x\,{\left(-a^2\right)}^{13/2}\,2{}\mathrm{i}\right)}-\frac{8947\,a^{11}\,\sqrt{1-a^2\,x^2}}{16128\,\left(a^{12}\,c^4+a^{14}\,c^4\,x^2+c^4\,x\,{\left(-a^2\right)}^{13/2}\,2{}\mathrm{i}\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{72\,\sqrt{-a^2}\,\left(5\,c^4\,x\,\sqrt{-a^2}+10\,a^2\,c^4\,x^3\,\sqrt{-a^2}+a^4\,c^4\,x^5\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}+a^2\,c^4\,x^2\,10{}\mathrm{i}+a^4\,c^4\,x^4\,5{}\mathrm{i}\right)}-\frac{\sqrt{1-a^2\,x^2}}{72\,\sqrt{-a^2}\,\left(-5\,c^4\,x\,\sqrt{-a^2}-10\,a^2\,c^4\,x^3\,\sqrt{-a^2}-a^4\,c^4\,x^5\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}+a^2\,c^4\,x^2\,10{}\mathrm{i}+a^4\,c^4\,x^4\,5{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{96\,\left(5\,c^4\,x\,{\left(-a^2\right)}^{11/2}+10\,a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}+a^4\,c^4\,x^5\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}+a^{12}\,c^4\,x^2\,10{}\mathrm{i}+a^{14}\,c^4\,x^4\,5{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{96\,\left(-5\,c^4\,x\,{\left(-a^2\right)}^{11/2}-10\,a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}-a^4\,c^4\,x^5\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}+a^{12}\,c^4\,x^2\,10{}\mathrm{i}+a^{14}\,c^4\,x^4\,5{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{288\,\left(5\,c^4\,x\,{\left(-a^2\right)}^{13/2}+10\,a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}+a^4\,c^4\,x^5\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}+a^{14}\,c^4\,x^2\,10{}\mathrm{i}+a^{16}\,c^4\,x^4\,5{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}}{288\,\left(-5\,c^4\,x\,{\left(-a^2\right)}^{13/2}-10\,a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}-a^4\,c^4\,x^5\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}+a^{14}\,c^4\,x^2\,10{}\mathrm{i}+a^{16}\,c^4\,x^4\,5{}\mathrm{i}\right)}+\frac{1507\,\sqrt{1-a^2\,x^2}}{3360\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}+a^2\,c^4\,x^3\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}+a^2\,c^4\,x^2\,3{}\mathrm{i}\right)}-\frac{1507\,\sqrt{1-a^2\,x^2}}{3360\,\sqrt{-a^2}\,\left(-3\,c^4\,x\,\sqrt{-a^2}-a^2\,c^4\,x^3\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}+a^2\,c^4\,x^2\,3{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1231{}\mathrm{i}}{4480\,\left(3\,c^4\,x\,{\left(-a^2\right)}^{11/2}+a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}+a^{12}\,c^4\,x^2\,3{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,1231{}\mathrm{i}}{4480\,\left(-3\,c^4\,x\,{\left(-a^2\right)}^{11/2}-a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}+a^{12}\,c^4\,x^2\,3{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,467{}\mathrm{i}}{2688\,\left(3\,c^4\,x\,{\left(-a^2\right)}^{13/2}+a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}+a^{14}\,c^4\,x^2\,3{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,467{}\mathrm{i}}{2688\,\left(-3\,c^4\,x\,{\left(-a^2\right)}^{13/2}-a^2\,c^4\,x^3\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}+a^{14}\,c^4\,x^2\,3{}\mathrm{i}\right)}+\frac{862\,\sqrt{1-a^2\,x^2}}{315\,\left(c^4\,x\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}\right)\,\sqrt{-a^2}}-\frac{862\,\sqrt{1-a^2\,x^2}}{315\,\left(-c^4\,x\,\sqrt{-a^2}+c^4\,1{}\mathrm{i}\right)\,\sqrt{-a^2}}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,25609{}\mathrm{i}}{26880\,\left(c^4\,x\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}\right)}+\frac{a^9\,\sqrt{1-a^2\,x^2}\,25609{}\mathrm{i}}{26880\,\left(-c^4\,x\,{\left(-a^2\right)}^{11/2}+a^{10}\,c^4\,1{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,31373{}\mathrm{i}}{16128\,\left(c^4\,x\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}\right)}+\frac{a^{11}\,\sqrt{1-a^2\,x^2}\,31373{}\mathrm{i}}{16128\,\left(-c^4\,x\,{\left(-a^2\right)}^{13/2}+a^{12}\,c^4\,1{}\mathrm{i}\right)}-\frac{109\,a^9\,\sqrt{1-a^2\,x^2}}{1344\,\left(a^{10}\,c^4-c^4\,x\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}+6\,a^{12}\,c^4\,x^2+a^{14}\,c^4\,x^4-a^2\,c^4\,x^3\,{\left(-a^2\right)}^{11/2}\,4{}\mathrm{i}\right)}+\frac{\sqrt{1-a^2\,x^2}\,59{}\mathrm{i}}{504\,\sqrt{-a^2}\,\left(c^4-c^4\,x\,\sqrt{-a^2}\,4{}\mathrm{i}+6\,a^2\,c^4\,x^2+a^4\,c^4\,x^4-a^2\,c^4\,x^3\,\sqrt{-a^2}\,4{}\mathrm{i}\right)}-\frac{\sqrt{1-a^2\,x^2}\,59{}\mathrm{i}}{504\,\sqrt{-a^2}\,\left(c^4+c^4\,x\,\sqrt{-a^2}\,4{}\mathrm{i}+6\,a^2\,c^4\,x^2+a^4\,c^4\,x^4+a^2\,c^4\,x^3\,\sqrt{-a^2}\,4{}\mathrm{i}\right)}+\frac{\sqrt{1-a^2\,x^2}\,22007{}\mathrm{i}}{20160\,\sqrt{-a^2}\,\left(c^4+a^2\,c^4\,x^2-c^4\,x\,\sqrt{-a^2}\,2{}\mathrm{i}\right)}-\frac{\sqrt{1-a^2\,x^2}\,22007{}\mathrm{i}}{20160\,\sqrt{-a^2}\,\left(c^4+a^2\,c^4\,x^2+c^4\,x\,\sqrt{-a^2}\,2{}\mathrm{i}\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(72*(-a^2)^(1/2)*(c^4*1i + 5*c^4*x*(-a^2)^(1/2) + a^2*c^4*x^2*10i + a^4*c^4*x^4*5i + 10*a^2*c^4*x^3*(-a^2)^(1/2) + a^4*c^4*x^5*(-a^2)^(1/2))) - (109*a^9*(1 - a^2*x^2)^(1/2))/(1344*(a^10*c^4 + c^4*x*(-a^2)^(11/2)*4i + 6*a^12*c^4*x^2 + a^14*c^4*x^4 + a^2*c^4*x^3*(-a^2)^(11/2)*4i)) - (145*a^11*(1 - a^2*x^2)^(1/2))/(4032*(a^12*c^4 - c^4*x*(-a^2)^(13/2)*4i + 6*a^14*c^4*x^2 + a^16*c^4*x^4 - a^2*c^4*x^3*(-a^2)^(13/2)*4i)) - (145*a^11*(1 - a^2*x^2)^(1/2))/(4032*(a^12*c^4 + c^4*x*(-a^2)^(13/2)*4i + 6*a^14*c^4*x^2 + a^16*c^4*x^4 + a^2*c^4*x^3*(-a^2)^(13/2)*4i)) - (14711*a^9*(1 - a^2*x^2)^(1/2))/(26880*(a^10*c^4 - c^4*x*(-a^2)^(11/2)*2i + a^12*c^4*x^2)) - (14711*a^9*(1 - a^2*x^2)^(1/2))/(26880*(a^10*c^4 + c^4*x*(-a^2)^(11/2)*2i + a^12*c^4*x^2)) - (8947*a^11*(1 - a^2*x^2)^(1/2))/(16128*(a^12*c^4 - c^4*x*(-a^2)^(13/2)*2i + a^14*c^4*x^2)) - (8947*a^11*(1 - a^2*x^2)^(1/2))/(16128*(a^12*c^4 + c^4*x*(-a^2)^(13/2)*2i + a^14*c^4*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^4*(-a^2)^(1/2)) - (109*a^9*(1 - a^2*x^2)^(1/2))/(1344*(a^10*c^4 - c^4*x*(-a^2)^(11/2)*4i + 6*a^12*c^4*x^2 + a^14*c^4*x^4 - a^2*c^4*x^3*(-a^2)^(11/2)*4i)) - (1 - a^2*x^2)^(1/2)/(72*(-a^2)^(1/2)*(c^4*1i - 5*c^4*x*(-a^2)^(1/2) + a^2*c^4*x^2*10i + a^4*c^4*x^4*5i - 10*a^2*c^4*x^3*(-a^2)^(1/2) - a^4*c^4*x^5*(-a^2)^(1/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1i)/(96*(a^10*c^4*1i + 5*c^4*x*(-a^2)^(11/2) + a^12*c^4*x^2*10i + a^14*c^4*x^4*5i + 10*a^2*c^4*x^3*(-a^2)^(11/2) + a^4*c^4*x^5*(-a^2)^(11/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1i)/(96*(a^10*c^4*1i - 5*c^4*x*(-a^2)^(11/2) + a^12*c^4*x^2*10i + a^14*c^4*x^4*5i - 10*a^2*c^4*x^3*(-a^2)^(11/2) - a^4*c^4*x^5*(-a^2)^(11/2))) + (a^11*(1 - a^2*x^2)^(1/2)*1i)/(288*(a^12*c^4*1i + 5*c^4*x*(-a^2)^(13/2) + a^14*c^4*x^2*10i + a^16*c^4*x^4*5i + 10*a^2*c^4*x^3*(-a^2)^(13/2) + a^4*c^4*x^5*(-a^2)^(13/2))) + (a^11*(1 - a^2*x^2)^(1/2)*1i)/(288*(a^12*c^4*1i - 5*c^4*x*(-a^2)^(13/2) + a^14*c^4*x^2*10i + a^16*c^4*x^4*5i - 10*a^2*c^4*x^3*(-a^2)^(13/2) - a^4*c^4*x^5*(-a^2)^(13/2))) + (1507*(1 - a^2*x^2)^(1/2))/(3360*(-a^2)^(1/2)*(c^4*1i + 3*c^4*x*(-a^2)^(1/2) + a^2*c^4*x^2*3i + a^2*c^4*x^3*(-a^2)^(1/2))) - (1507*(1 - a^2*x^2)^(1/2))/(3360*(-a^2)^(1/2)*(c^4*1i - 3*c^4*x*(-a^2)^(1/2) + a^2*c^4*x^2*3i - a^2*c^4*x^3*(-a^2)^(1/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1231i)/(4480*(a^10*c^4*1i + 3*c^4*x*(-a^2)^(11/2) + a^12*c^4*x^2*3i + a^2*c^4*x^3*(-a^2)^(11/2))) + (a^9*(1 - a^2*x^2)^(1/2)*1231i)/(4480*(a^10*c^4*1i - 3*c^4*x*(-a^2)^(11/2) + a^12*c^4*x^2*3i - a^2*c^4*x^3*(-a^2)^(11/2))) + (a^11*(1 - a^2*x^2)^(1/2)*467i)/(2688*(a^12*c^4*1i + 3*c^4*x*(-a^2)^(13/2) + a^14*c^4*x^2*3i + a^2*c^4*x^3*(-a^2)^(13/2))) + (a^11*(1 - a^2*x^2)^(1/2)*467i)/(2688*(a^12*c^4*1i - 3*c^4*x*(-a^2)^(13/2) + a^14*c^4*x^2*3i - a^2*c^4*x^3*(-a^2)^(13/2))) + (862*(1 - a^2*x^2)^(1/2))/(315*(c^4*1i + c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (862*(1 - a^2*x^2)^(1/2))/(315*(c^4*1i - c^4*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (a^9*(1 - a^2*x^2)^(1/2)*25609i)/(26880*(a^10*c^4*1i + c^4*x*(-a^2)^(11/2))) + (a^9*(1 - a^2*x^2)^(1/2)*25609i)/(26880*(a^10*c^4*1i - c^4*x*(-a^2)^(11/2))) + (a^11*(1 - a^2*x^2)^(1/2)*31373i)/(16128*(a^12*c^4*1i + c^4*x*(-a^2)^(13/2))) + (a^11*(1 - a^2*x^2)^(1/2)*31373i)/(16128*(a^12*c^4*1i - c^4*x*(-a^2)^(13/2))) + (1 - a^2*x^2)^(1/2)/(a*c^4) + ((1 - a^2*x^2)^(1/2)*59i)/(504*(-a^2)^(1/2)*(c^4 - c^4*x*(-a^2)^(1/2)*4i + 6*a^2*c^4*x^2 + a^4*c^4*x^4 - a^2*c^4*x^3*(-a^2)^(1/2)*4i)) - ((1 - a^2*x^2)^(1/2)*59i)/(504*(-a^2)^(1/2)*(c^4 + c^4*x*(-a^2)^(1/2)*4i + 6*a^2*c^4*x^2 + a^4*c^4*x^4 + a^2*c^4*x^3*(-a^2)^(1/2)*4i)) + ((1 - a^2*x^2)^(1/2)*22007i)/(20160*(-a^2)^(1/2)*(c^4 - c^4*x*(-a^2)^(1/2)*2i + a^2*c^4*x^2)) - ((1 - a^2*x^2)^(1/2)*22007i)/(20160*(-a^2)^(1/2)*(c^4 + c^4*x*(-a^2)^(1/2)*2i + a^2*c^4*x^2))","B"
653,1,81,116,0.085578,"\text{Not used}","int(((c - c/(a^2*x^2))^5*(a*x + 1)^4)/(a^2*x^2 - 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"
654,1,72,100,0.864438,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(a*x + 1)^4)/(a^2*x^2 - 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"
655,1,48,63,0.056483,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(a*x + 1)^4)/(a^2*x^2 - 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"
656,1,43,51,0.850507,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(a*x + 1)^4)/(a^2*x^2 - 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"
657,1,32,33,0.073632,"\text{Not used}","int(((c - c/(a^2*x^2))*(a*x + 1)^4)/(a^2*x^2 - 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"
658,1,48,53,0.065907,"\text{Not used}","int((a*x + 1)^4/((c - c/(a^2*x^2))*(a^2*x^2 - 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"
659,1,71,71,0.074059,"\text{Not used}","int((a*x + 1)^4/((c - c/(a^2*x^2))^2*(a^2*x^2 - 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"
660,1,104,111,0.912527,"\text{Not used}","int((a*x + 1)^4/((c - c/(a^2*x^2))^3*(a^2*x^2 - 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"
661,1,131,146,0.942807,"\text{Not used}","int((a*x + 1)^4/((c - c/(a^2*x^2))^4*(a^2*x^2 - 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"
662,1,227,169,0.899996,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}+\frac{176\,c^4\,\sqrt{1-a^2\,x^2}}{105\,a^2\,x}+\frac{29\,c^4\,\sqrt{1-a^2\,x^2}}{16\,a^3\,x^2}-\frac{122\,c^4\,\sqrt{1-a^2\,x^2}}{105\,a^4\,x^3}-\frac{19\,c^4\,\sqrt{1-a^2\,x^2}}{24\,a^5\,x^4}+\frac{22\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^6\,x^5}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{6\,a^7\,x^6}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{7\,a^8\,x^7}+\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,35{}\mathrm{i}}{16\,a}","Not used",1,"(c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^4*atan((1 - a^2*x^2)^(1/2)*1i)*35i)/(16*a) + (c^4*(1 - a^2*x^2)^(1/2))/a + (176*c^4*(1 - a^2*x^2)^(1/2))/(105*a^2*x) + (29*c^4*(1 - a^2*x^2)^(1/2))/(16*a^3*x^2) - (122*c^4*(1 - a^2*x^2)^(1/2))/(105*a^4*x^3) - (19*c^4*(1 - a^2*x^2)^(1/2))/(24*a^5*x^4) + (22*c^4*(1 - a^2*x^2)^(1/2))/(35*a^6*x^5) + (c^4*(1 - a^2*x^2)^(1/2))/(6*a^7*x^6) - (c^4*(1 - a^2*x^2)^(1/2))/(7*a^8*x^7)","B"
663,1,181,136,0.866895,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}+\frac{23\,c^3\,\sqrt{1-a^2\,x^2}}{15\,a^2\,x}+\frac{9\,c^3\,\sqrt{1-a^2\,x^2}}{8\,a^3\,x^2}-\frac{11\,c^3\,\sqrt{1-a^2\,x^2}}{15\,a^4\,x^3}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{4\,a^5\,x^4}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{5\,a^6\,x^5}+\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{8\,a}","Not used",1,"(c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*15i)/(8*a) + (c^3*(1 - a^2*x^2)^(1/2))/a + (23*c^3*(1 - a^2*x^2)^(1/2))/(15*a^2*x) + (9*c^3*(1 - a^2*x^2)^(1/2))/(8*a^3*x^2) - (11*c^3*(1 - a^2*x^2)^(1/2))/(15*a^4*x^3) - (c^3*(1 - a^2*x^2)^(1/2))/(4*a^5*x^4) + (c^3*(1 - a^2*x^2)^(1/2))/(5*a^6*x^5)","B"
664,1,135,103,0.048675,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}+\frac{4\,c^2\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}+\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a}","Not used",1,"(c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c^2*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(2*a) + (c^2*(1 - a^2*x^2)^(1/2))/a + (4*c^2*(1 - a^2*x^2)^(1/2))/(3*a^2*x) + (c^2*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^2*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
665,1,76,58,0.036810,"\text{Not used}","int(((c - c/(a^2*x^2))*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{c\,\sqrt{1-a^2\,x^2}}{a}-\frac{c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{a}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{c\,\sqrt{1-a^2\,x^2}}{a^2\,x}","Not used",1,"(c*(1 - a^2*x^2)^(1/2))/a - (c*atanh((1 - a^2*x^2)^(1/2)))/a + (c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (c*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
666,1,88,60,0.060299,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))*(a*x + 1)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{a\,c}-\frac{\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c*(-a^2)^(1/2)) + (1 - a^2*x^2)^(1/2)/(a*c) - (1 - a^2*x^2)^(1/2)/(c*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
667,1,188,97,1.155012,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^2*(a*x + 1)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{a\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2+2\,a^3\,c^2\,x+a^2\,c^2\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}-\frac{19\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c^2*(-a^2)^(1/2)) - (a*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 + 2*a^3*c^2*x + a^4*c^2*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^2) - (19*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
668,1,365,130,1.283307,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^3*(a*x + 1)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}-\frac{5\,a\,\sqrt{1-a^2\,x^2}}{12\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{a^6\,\sqrt{1-a^2\,x^2}}{30\,\left(a^9\,c^3\,x^2+2\,a^8\,c^3\,x+a^7\,c^3\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}-\frac{493\,\sqrt{1-a^2\,x^2}}{240\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{25\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}+3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c^3*(-a^2)^(1/2)) - (5*a*(1 - a^2*x^2)^(1/2))/(12*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (a^6*(1 - a^2*x^2)^(1/2))/(30*(a^7*c^3 + 2*a^8*c^3*x + a^9*c^3*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^3) - (493*(1 - a^2*x^2)^(1/2))/(240*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) + (25*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) + 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
669,1,614,163,1.538781,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^4*(a*x + 1)),x)","\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}-\frac{35\,a\,\sqrt{1-a^2\,x^2}}{48\,\left(a^4\,c^4\,x^2+2\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{8\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{a^3\,\sqrt{1-a^2\,x^2}}{140\,\left(a^6\,c^4\,x^2+2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{a^8\,\sqrt{1-a^2\,x^2}}{120\,\left(a^{11}\,c^4\,x^2-2\,a^{10}\,c^4\,x+a^9\,c^4\right)}+\frac{13\,a^8\,\sqrt{1-a^2\,x^2}}{120\,\left(a^{11}\,c^4\,x^2+2\,a^{10}\,c^4\,x+a^9\,c^4\right)}+\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}-\frac{a\,\sqrt{1-a^2\,x^2}}{56\,\left(a^6\,c^4\,x^4+4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2+4\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{1657\,\sqrt{1-a^2\,x^2}}{672\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{379\,\sqrt{1-a^2\,x^2}}{480\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}-\frac{17\,\sqrt{1-a^2\,x^2}}{112\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}+3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{\sqrt{1-a^2\,x^2}}{80\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"asinh(x*(-a^2)^(1/2))/(c^4*(-a^2)^(1/2)) - (35*a*(1 - a^2*x^2)^(1/2))/(48*(a^2*c^4 + 2*a^3*c^4*x + a^4*c^4*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(8*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) - (a^3*(1 - a^2*x^2)^(1/2))/(140*(a^4*c^4 + 2*a^5*c^4*x + a^6*c^4*x^2)) + (a^8*(1 - a^2*x^2)^(1/2))/(120*(a^9*c^4 - 2*a^10*c^4*x + a^11*c^4*x^2)) + (13*a^8*(1 - a^2*x^2)^(1/2))/(120*(a^9*c^4 + 2*a^10*c^4*x + a^11*c^4*x^2)) + (1 - a^2*x^2)^(1/2)/(a*c^4) - (a*(1 - a^2*x^2)^(1/2))/(56*(a^2*c^4 + 4*a^3*c^4*x + 6*a^4*c^4*x^2 + 4*a^5*c^4*x^3 + a^6*c^4*x^4)) - (1657*(1 - a^2*x^2)^(1/2))/(672*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a)) + (379*(1 - a^2*x^2)^(1/2))/(480*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) - (17*(1 - a^2*x^2)^(1/2))/(112*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) + 3*a*c^4*x^2*(-a^2)^(1/2))) + (1 - a^2*x^2)^(1/2)/(80*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
670,1,66,91,0.075601,"\text{Not used}","int(-((c - c/(a^2*x^2))^4*(a^2*x^2 - 1))/(a*x + 1)^2,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"
671,1,57,78,0.853468,"\text{Not used}","int(-((c - c/(a^2*x^2))^3*(a^2*x^2 - 1))/(a*x + 1)^2,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"
672,1,35,40,0.890162,"\text{Not used}","int(-((c - c/(a^2*x^2))^2*(a^2*x^2 - 1))/(a*x + 1)^2,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"
673,1,24,21,0.045975,"\text{Not used}","int(-((c - c/(a^2*x^2))*(a^2*x^2 - 1))/(a*x + 1)^2,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"
674,1,33,35,0.054331,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))*(a*x + 1)^2),x)","\frac{1}{a\,\left(c+a\,c\,x\right)}-\frac{x}{c}+\frac{2\,\ln\left(a\,x+1\right)}{a\,c}","Not used",1,"1/(a*(c + a*c*x)) - x/c + (2*log(a*x + 1))/(a*c)","B"
675,1,68,74,0.886618,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^2*(a*x + 1)^2),x)","\frac{\frac{7\,x}{4}+\frac{3}{2\,a}}{a^2\,c^2\,x^2+2\,a\,c^2\,x+c^2}-\frac{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,"((7*x)/4 + 3/(2*a))/(c^2 + a^2*c^2*x^2 + 2*a*c^2*x) - x/c^2 - log(a*x - 1)/(8*a*c^2) + (17*log(a*x + 1))/(8*a*c^2)","B"
676,1,94,109,0.113835,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^3*(a*x + 1)^2),x)","\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{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,"((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) - x/c^3 - log(a*x - 1)/(4*a*c^3) + (9*log(a*x + 1))/(4*a*c^3)","B"
677,1,142,144,0.949614,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^4*(a*x + 1)^2),x)","\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{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,"((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) - x/c^4 - (47*log(a*x - 1))/(128*a*c^4) + (303*log(a*x + 1))/(128*a*c^4)","B"
678,1,229,191,0.101469,"\text{Not used}","int(((c - c/(a^2*x^2))^4*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{15\,c^4\,\sqrt{1-a^2\,x^2}}{16\,a^3\,x^2}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{a}-\frac{156\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^2\,x}-\frac{3\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{62\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^4\,x^3}-\frac{11\,c^4\,\sqrt{1-a^2\,x^2}}{8\,a^5\,x^4}-\frac{6\,c^4\,\sqrt{1-a^2\,x^2}}{35\,a^6\,x^5}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{2\,a^7\,x^6}-\frac{c^4\,\sqrt{1-a^2\,x^2}}{7\,a^8\,x^7}-\frac{c^4\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{16\,a}","Not used",1,"(15*c^4*(1 - a^2*x^2)^(1/2))/(16*a^3*x^2) - (c^4*atan((1 - a^2*x^2)^(1/2)*1i)*15i)/(16*a) - (c^4*(1 - a^2*x^2)^(1/2))/a - (156*c^4*(1 - a^2*x^2)^(1/2))/(35*a^2*x) - (3*c^4*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (62*c^4*(1 - a^2*x^2)^(1/2))/(35*a^4*x^3) - (11*c^4*(1 - a^2*x^2)^(1/2))/(8*a^5*x^4) - (6*c^4*(1 - a^2*x^2)^(1/2))/(35*a^6*x^5) + (c^4*(1 - a^2*x^2)^(1/2))/(2*a^7*x^6) - (c^4*(1 - a^2*x^2)^(1/2))/(7*a^8*x^7)","B"
679,1,183,157,0.849284,"\text{Not used}","int(((c - c/(a^2*x^2))^3*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{11\,c^3\,\sqrt{1-a^2\,x^2}}{8\,a^3\,x^2}-\frac{c^3\,\sqrt{1-a^2\,x^2}}{a}-\frac{19\,c^3\,\sqrt{1-a^2\,x^2}}{5\,a^2\,x}-\frac{3\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}+\frac{3\,c^3\,\sqrt{1-a^2\,x^2}}{5\,a^4\,x^3}-\frac{3\,c^3\,\sqrt{1-a^2\,x^2}}{4\,a^5\,x^4}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{5\,a^6\,x^5}-\frac{c^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{8\,a}","Not used",1,"(11*c^3*(1 - a^2*x^2)^(1/2))/(8*a^3*x^2) - (c^3*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(8*a) - (c^3*(1 - a^2*x^2)^(1/2))/a - (19*c^3*(1 - a^2*x^2)^(1/2))/(5*a^2*x) - (3*c^3*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) + (3*c^3*(1 - a^2*x^2)^(1/2))/(5*a^4*x^3) - (3*c^3*(1 - a^2*x^2)^(1/2))/(4*a^5*x^4) + (c^3*(1 - a^2*x^2)^(1/2))/(5*a^6*x^5)","B"
680,1,137,125,0.861943,"\text{Not used}","int(((c - c/(a^2*x^2))^2*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{3\,c^2\,\sqrt{1-a^2\,x^2}}{2\,a^3\,x^2}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{a}-\frac{8\,c^2\,\sqrt{1-a^2\,x^2}}{3\,a^2\,x}-\frac{3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c^2\,\sqrt{1-a^2\,x^2}}{3\,a^4\,x^3}+\frac{c^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}","Not used",1,"(c^2*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/(2*a) - (3*c^2*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c^2*(1 - a^2*x^2)^(1/2))/a - (8*c^2*(1 - a^2*x^2)^(1/2))/(3*a^2*x) + (3*c^2*(1 - a^2*x^2)^(1/2))/(2*a^3*x^2) - (c^2*(1 - a^2*x^2)^(1/2))/(3*a^4*x^3)","B"
681,1,82,74,0.040787,"\text{Not used}","int(((c - c/(a^2*x^2))*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{c\,\sqrt{1-a^2\,x^2}}{a^2\,x}-\frac{3\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{c\,\sqrt{1-a^2\,x^2}}{a}+\frac{c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{a}","Not used",1,"(c*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/a - (3*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2) - (c*(1 - a^2*x^2)^(1/2))/a + (c*(1 - a^2*x^2)^(1/2))/(a^2*x)","B"
682,1,129,97,0.852786,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))*(a*x + 1)^3),x)","\frac{2\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(c\,a^4\,x^2+2\,c\,a^3\,x+c\,a^2\right)}+\frac{13\,\sqrt{1-a^2\,x^2}}{3\,\left(\frac{c\,\sqrt{-a^2}}{a}+c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a\,c}","Not used",1,"(2*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c + a^4*c*x^2 + 2*a^3*c*x)) + (13*(1 - a^2*x^2)^(1/2))/(3*((c*(-a^2)^(1/2))/a + c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (3*asinh(x*(-a^2)^(1/2)))/(c*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a*c)","B"
683,1,271,129,0.057835,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^2*(a*x + 1)^3),x)","\frac{4\,a\,\sqrt{1-a^2\,x^2}}{3\,\left(a^4\,c^2\,x^2+2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^2\,\sqrt{-a^2}}-\frac{2\,a^4\,\sqrt{1-a^2\,x^2}}{15\,\left(a^7\,c^2\,x^2+2\,a^6\,c^2\,x+a^5\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^2}+\frac{24\,\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{5\,\sqrt{-a^2}\,\left(3\,c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}+a^2\,c^2\,x^3\,\sqrt{-a^2}+3\,a\,c^2\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(4*a*(1 - a^2*x^2)^(1/2))/(3*(a^2*c^2 + 2*a^3*c^2*x + a^4*c^2*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^2*(-a^2)^(1/2)) - (2*a^4*(1 - a^2*x^2)^(1/2))/(15*(a^5*c^2 + 2*a^6*c^2*x + a^7*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^2) + (24*(1 - a^2*x^2)^(1/2))/(5*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(5*(-a^2)^(1/2)*(3*c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a + a^2*c^2*x^3*(-a^2)^(1/2) + 3*a*c^2*x^2*(-a^2)^(1/2)))","B"
684,1,436,159,1.442857,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^3*(a*x + 1)^3),x)","\frac{49\,a\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^3\,\sqrt{-a^2}}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{35\,\left(a^6\,c^3\,x^2+2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{11\,a^6\,\sqrt{1-a^2\,x^2}}{30\,\left(a^9\,c^3\,x^2+2\,a^8\,c^3\,x+a^7\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^3}+\frac{a\,\sqrt{1-a^2\,x^2}}{14\,\left(a^6\,c^3\,x^4+4\,a^5\,c^3\,x^3+6\,a^4\,c^3\,x^2+4\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{2931\,\sqrt{1-a^2\,x^2}}{560\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}-\frac{\sqrt{1-a^2\,x^2}}{16\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{71\,\sqrt{1-a^2\,x^2}}{140\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}+3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(49*a*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (3*asinh(x*(-a^2)^(1/2)))/(c^3*(-a^2)^(1/2)) + (a^3*(1 - a^2*x^2)^(1/2))/(35*(a^4*c^3 + 2*a^5*c^3*x + a^6*c^3*x^2)) - (11*a^6*(1 - a^2*x^2)^(1/2))/(30*(a^7*c^3 + 2*a^8*c^3*x + a^9*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^3) + (a*(1 - a^2*x^2)^(1/2))/(14*(a^2*c^3 + 4*a^3*c^3*x + 6*a^4*c^3*x^2 + 4*a^5*c^3*x^3 + a^6*c^3*x^4)) + (2931*(1 - a^2*x^2)^(1/2))/(560*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) - (1 - a^2*x^2)^(1/2)/(16*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (71*(1 - a^2*x^2)^(1/2))/(140*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) + 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
685,1,671,189,1.794071,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^4*(a*x + 1)^3),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{96\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{67\,a\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^4\,x^2+2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{\sqrt{1-a^2\,x^2}}{36\,\sqrt{-a^2}\,\left(5\,c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}+10\,a^2\,c^4\,x^3\,\sqrt{-a^2}+5\,a^3\,c^4\,x^4\,\sqrt{-a^2}+a^4\,c^4\,x^5\,\sqrt{-a^2}+10\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{c^4\,\sqrt{-a^2}}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{10\,\left(a^6\,c^4\,x^2+2\,a^5\,c^4\,x+a^4\,c^4\right)}-\frac{1759\,a^8\,\sqrt{1-a^2\,x^2}}{2520\,\left(a^{11}\,c^4\,x^2+2\,a^{10}\,c^4\,x+a^9\,c^4\right)}-\frac{\sqrt{1-a^2\,x^2}}{a\,c^4}+\frac{a\,\sqrt{1-a^2\,x^2}}{4\,\left(a^6\,c^4\,x^4+4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2+4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{113591\,\sqrt{1-a^2\,x^2}}{20160\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}\right)}-\frac{31\,\sqrt{1-a^2\,x^2}}{192\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{1507\,\sqrt{1-a^2\,x^2}}{1680\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}+3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}-\frac{a^{10}\,\sqrt{1-a^2\,x^2}}{63\,\left(a^{15}\,c^4\,x^4+4\,a^{14}\,c^4\,x^3+6\,a^{13}\,c^4\,x^2+4\,a^{12}\,c^4\,x+a^{11}\,c^4\right)}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(96*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) + (67*a*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^4 + 2*a^3*c^4*x + a^4*c^4*x^2)) + (1 - a^2*x^2)^(1/2)/(36*(-a^2)^(1/2)*(5*c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a + 10*a^2*c^4*x^3*(-a^2)^(1/2) + 5*a^3*c^4*x^4*(-a^2)^(1/2) + a^4*c^4*x^5*(-a^2)^(1/2) + 10*a*c^4*x^2*(-a^2)^(1/2))) - (3*asinh(x*(-a^2)^(1/2)))/(c^4*(-a^2)^(1/2)) + (a^3*(1 - a^2*x^2)^(1/2))/(10*(a^4*c^4 + 2*a^5*c^4*x + a^6*c^4*x^2)) - (1759*a^8*(1 - a^2*x^2)^(1/2))/(2520*(a^9*c^4 + 2*a^10*c^4*x + a^11*c^4*x^2)) - (1 - a^2*x^2)^(1/2)/(a*c^4) + (a*(1 - a^2*x^2)^(1/2))/(4*(a^2*c^4 + 4*a^3*c^4*x + 6*a^4*c^4*x^2 + 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (113591*(1 - a^2*x^2)^(1/2))/(20160*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a)) - (31*(1 - a^2*x^2)^(1/2))/(192*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (1507*(1 - a^2*x^2)^(1/2))/(1680*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) + 3*a*c^4*x^2*(-a^2)^(1/2))) - (a^10*(1 - a^2*x^2)^(1/2))/(63*(a^11*c^4 + 4*a^12*c^4*x + 6*a^13*c^4*x^2 + 4*a^14*c^4*x^3 + a^15*c^4*x^4))","B"
686,0,-1,374,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(9/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(9/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
687,0,-1,299,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
688,0,-1,219,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
689,0,-1,146,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
690,0,-1,68,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
691,0,-1,79,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
692,0,-1,175,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
693,0,-1,267,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
694,0,-1,361,0.000000,"\text{Not used}","int((a*x + 1)/((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(1/2)), x)","F"
695,0,-1,450,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(9/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(9/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
696,0,-1,372,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
697,0,-1,294,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
698,0,-1,214,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
699,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
700,0,-1,110,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1)), x)","F"
701,0,-1,123,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(3/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(3/2)*(a^2*x^2 - 1)), x)","F"
702,0,-1,203,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(5/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(5/2)*(a^2*x^2 - 1)), x)","F"
703,0,-1,283,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(7/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(7/2)*(a^2*x^2 - 1)), x)","F"
704,0,-1,363,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(9/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - c/(a^2*x^2))^(9/2)*(a^2*x^2 - 1)), x)","F"
705,0,-1,300,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
706,0,-1,301,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
707,0,-1,220,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
708,0,-1,145,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
709,0,-1,108,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
710,0,-1,123,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2)), x)","F"
711,0,-1,174,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(3/2)), x)","F"
712,0,-1,269,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(3/2)), x)","F"
713,0,-1,363,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(3/2)), x)","F"
714,0,-1,375,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
715,0,-1,299,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
716,0,-1,220,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
717,0,-1,144,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
718,0,-1,69,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
719,0,-1,77,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)), x)","F"
720,0,-1,175,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)), x)","F"
721,0,-1,265,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)), x)","F"
722,0,-1,361,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)), x)","F"
723,0,-1,455,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(9/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(9/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
724,0,-1,375,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
725,0,-1,293,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
726,0,-1,212,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
727,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
728,0,-1,111,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2), x)","F"
729,0,-1,124,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^2), x)","F"
730,0,-1,194,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^2), x)","F"
731,0,-1,270,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^2), x)","F"
732,0,-1,299,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{9/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
733,0,-1,301,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
734,0,-1,218,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
735,0,-1,146,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
736,0,-1,106,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
737,0,-1,122,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3), x)","F"
738,0,-1,170,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(3/2)*(a*x + 1)^3), x)","F"
739,0,-1,267,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(5/2)*(a*x + 1)^3), x)","F"
740,0,-1,359,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{7/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - c/(a^2*x^2))^(7/2)*(a*x + 1)^3), x)","F"
741,1,45,80,1.300336,"\text{Not used}","int((x^m*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{x\,x^m\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(m+a\,m\,x+1\right)}{m\,\sqrt{1-a^2\,x^2}\,\left(m+1\right)}","Not used",1,"(x*x^m*(c - c/(a^2*x^2))^(1/2)*(m + a*m*x + 1))/(m*(1 - a^2*x^2)^(1/2)*(m + 1))","B"
742,1,38,74,0.997003,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{a\,x^4}{3}+\frac{x^3}{2}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - c/(a^2*x^2))^(1/2)*((a*x^4)/3 + x^3/2))/(1 - a^2*x^2)^(1/2)","B"
743,1,36,71,0.971790,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{a\,x^3}{2}+x^2\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - c/(a^2*x^2))^(1/2)*((a*x^3)/2 + x^2))/(1 - a^2*x^2)^(1/2)","B"
744,0,-1,68,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
745,0,-1,66,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
746,1,35,43,1.013043,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a\,x+\frac{1}{2}\right)}{x\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - c/(a^2*x^2))^(1/2)*(a*x + 1/2))/(x*(1 - a^2*x^2)^(1/2))","B"
747,0,-1,160,0.000000,"\text{Not used}","int(-(x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
748,0,-1,123,0.000000,"\text{Not used}","int(-(x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
749,0,-1,98,0.000000,"\text{Not used}","int(-(x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
750,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
751,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{x\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)), x)","F"
752,0,-1,111,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{x^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)), x)","F"
753,0,-1,139,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{x^3\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)), x)","F"
754,0,-1,156,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{x^4\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)), x)","F"
755,0,-1,181,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^2}{x^5\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)), x)","F"
756,0,-1,188,0.000000,"\text{Not used}","int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
757,0,-1,153,0.000000,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
758,0,-1,114,0.000000,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
759,0,-1,108,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
760,0,-1,107,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{x\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)), x)","F"
761,0,-1,148,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{x^2\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)), x)","F"
762,0,-1,187,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{x^3\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)), x)","F"
763,0,-1,222,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{x^4\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)), x)","F"
764,0,-1,263,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(a\,x+1\right)}^3}{x^5\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)), x)","F"
765,1,78,81,1.154842,"\text{Not used}","int((x^m*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{x^m\,x^2\,\sqrt{1-a^2\,x^2}}{a\,\left(m+1\right)}-\frac{x\,x^m\,\sqrt{1-a^2\,x^2}}{a^2\,m}\right)}{\frac{1}{a^2}-x^2}","Not used",1,"-((c - c/(a^2*x^2))^(1/2)*((x^m*x^2*(1 - a^2*x^2)^(1/2))/(a*(m + 1)) - (x*x^m*(1 - a^2*x^2)^(1/2))/(a^2*m)))/(1/a^2 - x^2)","B"
766,1,67,74,0.970078,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{x^4\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{x^3\,\sqrt{1-a^2\,x^2}}{2\,a^2}\right)}{\frac{1}{a^2}-x^2}","Not used",1,"-((c - c/(a^2*x^2))^(1/2)*((x^4*(1 - a^2*x^2)^(1/2))/(3*a) - (x^3*(1 - a^2*x^2)^(1/2))/(2*a^2)))/(1/a^2 - x^2)","B"
767,1,67,71,0.929660,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{x^3\,\sqrt{1-a^2\,x^2}}{2\,a}-\frac{x^2\,\sqrt{1-a^2\,x^2}}{a^2}\right)}{\frac{1}{a^2}-x^2}","Not used",1,"-((c - c/(a^2*x^2))^(1/2)*((x^3*(1 - a^2*x^2)^(1/2))/(2*a) - (x^2*(1 - a^2*x^2)^(1/2))/a^2))/(1/a^2 - x^2)","B"
768,0,-1,69,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
769,0,-1,67,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\sqrt{1-a^2\,x^2}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)), x)","F"
770,1,64,44,0.961147,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)),x)","-\frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(\frac{\sqrt{1-a^2\,x^2}}{2\,a^2}-\frac{x\,\sqrt{1-a^2\,x^2}}{a}\right)}{\frac{x}{a^2}-x^3}","Not used",1,"-((c - c/(a^2*x^2))^(1/2)*((1 - a^2*x^2)^(1/2)/(2*a^2) - (x*(1 - a^2*x^2)^(1/2))/a))/(x/a^2 - x^3)","B"
771,0,-1,163,0.000000,"\text{Not used}","int(-(x^3*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^3*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
772,0,-1,126,0.000000,"\text{Not used}","int(-(x^2*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^2*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
773,0,-1,99,0.000000,"\text{Not used}","int(-(x*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x*(c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
774,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
775,0,-1,118,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{x\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2), x)","F"
776,0,-1,112,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^2*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{x^2\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^2*(a*x + 1)^2), x)","F"
777,0,-1,140,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^3*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{x^3\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^3*(a*x + 1)^2), x)","F"
778,0,-1,156,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^4*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{x^4\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^4*(a*x + 1)^2), x)","F"
779,0,-1,181,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^5*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,\left(a^2\,x^2-1\right)}{x^5\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^(1/2)*(a^2*x^2 - 1))/(x^5*(a*x + 1)^2), x)","F"
780,0,-1,187,0.000000,"\text{Not used}","int((x^3*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^3\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^3*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
781,0,-1,152,0.000000,"\text{Not used}","int((x^2*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^2\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^2*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
782,0,-1,113,0.000000,"\text{Not used}","int((x*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x\,\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x*(c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
783,0,-1,106,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
784,0,-1,106,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3), x)","F"
785,0,-1,147,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^2*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^2\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^2*(a*x + 1)^3), x)","F"
786,0,-1,186,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^3*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^3\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^3*(a*x + 1)^3), x)","F"
787,0,-1,220,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^4*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^4\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^4*(a*x + 1)^3), x)","F"
788,0,-1,262,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^5*(a*x + 1)^3),x)","\int \frac{\sqrt{c-\frac{c}{a^2\,x^2}}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^5\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^(1/2)*(1 - a^2*x^2)^(3/2))/(x^5*(a*x + 1)^3), x)","F"
789,0,-1,53,0.000000,"\text{Not used}","int(exp(-2*p*atanh(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{-2\,p\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(-2*p*atanh(a*x))*(c - c/(a^2*x^2))^p, x)","F"
790,0,-1,54,0.000000,"\text{Not used}","int(exp(2*p*atanh(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{2\,p\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(2*p*atanh(a*x))*(c - c/(a^2*x^2))^p, x)","F"
791,0,-1,331,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^2,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^2 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^2, x)","F"
792,0,-1,137,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a^2*x^2)),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(c-\frac{c}{a^2\,x^2}\right) \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a^2*x^2)), x)","F"
793,0,-1,125,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a^2*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-\frac{c}{a^2\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a^2*x^2)), x)","F"
794,0,-1,373,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^2, x)","F"
795,0,-1,430,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^(3/2), x)","F"
796,0,-1,272,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-\frac{c}{a^2\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^(1/2), x)","F"
797,0,-1,182,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-\frac{c}{a^2\,x^2}}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(1/2), x)","F"
798,0,-1,267,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(3/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(3/2), x)","F"
799,0,-1,1039,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(5/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-\frac{c}{a^2\,x^2}\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - c/(a^2*x^2))^(5/2), x)","F"
800,0,-1,72,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^p,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-\frac{c}{a^2\,x^2}\right)}^p \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - c/(a^2*x^2))^p, x)","F"
801,0,-1,339,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,{\left(a\,x+1\right)}^4}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2, x)","F"
802,0,-1,217,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
803,0,-1,217,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^p*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - c/(a^2*x^2))^p*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
804,0,-1,137,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
805,0,-1,137,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
806,0,-1,218,0.000000,"\text{Not used}","int(-((c - c/(a^2*x^2))^p*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - c/(a^2*x^2))^p*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
807,0,-1,216,0.000000,"\text{Not used}","int(((c - c/(a^2*x^2))^p*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-\frac{c}{a^2\,x^2}\right)}^p\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - c/(a^2*x^2))^p*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
808,0,-1,240,0.000000,"\text{Not used}","int((x*sin(x)*(x + 1)^(3/2))/(1 - x^2)^(1/2),x)","\int \frac{x\,\sin\left(x\right)\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*sin(x)*(x + 1)^(3/2))/(1 - x^2)^(1/2), x)","F"
809,0,-1,141,0.000000,"\text{Not used}","int((sin(x)*(x + 1)^(3/2))/(1 - x^2)^(1/2),x)","\int \frac{\sin\left(x\right)\,{\left(x+1\right)}^{3/2}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((sin(x)*(x + 1)^(3/2))/(1 - x^2)^(1/2), x)","F"
810,0,-1,163,0.000000,"\text{Not used}","int((x*sin(x)*(1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2),x)","\int \frac{x\,\sin\left(x\right)\,\sqrt{1-x}\,\left(x+1\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*sin(x)*(1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2), x)","F"
811,0,-1,72,0.000000,"\text{Not used}","int((sin(x)*(1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2),x)","\int \frac{\sin\left(x\right)\,\sqrt{1-x}\,\left(x+1\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((sin(x)*(1 - x)^(1/2)*(x + 1))/(1 - x^2)^(1/2), x)","F"
812,0,-1,335,0.000000,"\text{Not used}","int((x*sin(x)*(x + 1)^(5/2))/(1 - x^2)^(1/2),x)","\int \frac{x\,\sin\left(x\right)\,{\left(x+1\right)}^{5/2}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*sin(x)*(x + 1)^(5/2))/(1 - x^2)^(1/2), x)","F"
813,0,-1,236,0.000000,"\text{Not used}","int((sin(x)*(x + 1)^(5/2))/(1 - x^2)^(1/2),x)","\int \frac{\sin\left(x\right)\,{\left(x+1\right)}^{5/2}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((sin(x)*(x + 1)^(5/2))/(1 - x^2)^(1/2), x)","F"
814,0,-1,193,0.000000,"\text{Not used}","int((x*sin(x)*(1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2),x)","\int \frac{x\,\sin\left(x\right)\,{\left(1-x\right)}^{3/2}\,\left(x+1\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*sin(x)*(1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2), x)","F"
815,0,-1,157,0.000000,"\text{Not used}","int((sin(x)*(1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2),x)","\int \frac{\sin\left(x\right)\,{\left(1-x\right)}^{3/2}\,\left(x+1\right)}{\sqrt{1-x^2}} \,d x","Not used",1,"int((sin(x)*(1 - x)^(3/2)*(x + 1))/(1 - x^2)^(1/2), x)","F"
816,0,-1,140,0.000000,"\text{Not used}","int((x*sin(x)*(x + 1)^(1/2))/(1 - x^2)^(1/2),x)","\int \frac{x\,\sin\left(x\right)\,\sqrt{x+1}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((x*sin(x)*(x + 1)^(1/2))/(1 - x^2)^(1/2), x)","F"
817,0,-1,62,0.000000,"\text{Not used}","int((sin(x)*(x + 1)^(1/2))/(1 - x^2)^(1/2),x)","\int \frac{\sin\left(x\right)\,\sqrt{x+1}}{\sqrt{1-x^2}} \,d x","Not used",1,"int((sin(x)*(x + 1)^(1/2))/(1 - x^2)^(1/2), x)","F"
818,0,-1,156,0.000000,"\text{Not used}","int((x^3*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2),x)","\int \frac{x^3\,\left(a+b\,x+1\right)}{\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^3*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2), x)","F"
819,0,-1,130,0.000000,"\text{Not used}","int((x^2*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2),x)","\int \frac{x^2\,\left(a+b\,x+1\right)}{\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x^2*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2), x)","F"
820,0,-1,84,0.000000,"\text{Not used}","int((x*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2),x)","\int \frac{x\,\left(a+b\,x+1\right)}{\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((x*(a + b*x + 1))/(1 - (a + b*x)^2)^(1/2), x)","F"
821,1,101,39,1.420586,"\text{Not used}","int((a + b*x + 1)/(1 - (a + b*x)^2)^(1/2),x)","\frac{\mathrm{asin}\left(a+b\,x\right)}{b}-\frac{\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{b}-\frac{a\,\ln\left(\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}-\frac{x\,b^2+a\,b}{\sqrt{-b^2}}\right)}{\sqrt{-b^2}}+\frac{a\,\mathrm{asin}\left(a+b\,x\right)}{b}","Not used",1,"asin(a + b*x)/b - (1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2)/b - (a*log((1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2) - (a*b + b^2*x)/(-b^2)^(1/2)))/(-b^2)^(1/2) + (a*asin(a + b*x))/b","B"
822,1,132,64,1.391935,"\text{Not used}","int((a + b*x + 1)/(x*(1 - (a + b*x)^2)^(1/2)),x)","\mathrm{asin}\left(a+b\,x\right)-\frac{\ln\left(\frac{\sqrt{1-a^2}\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{x}-\frac{a^2-1}{x}-a\,b\right)}{\sqrt{1-a^2}}-\frac{a\,\ln\left(\frac{\sqrt{1-a^2}\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{x}-\frac{a^2-1}{x}-a\,b\right)}{\sqrt{1-a^2}}","Not used",1,"asin(a + b*x) - log(((1 - a^2)^(1/2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))/x - (a^2 - 1)/x - a*b)/(1 - a^2)^(1/2) - (a*log(((1 - a^2)^(1/2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))/x - (a^2 - 1)/x - a*b))/(1 - a^2)^(1/2)","B"
823,1,241,98,1.690816,"\text{Not used}","int((a + b*x + 1)/(x^2*(1 - (a + b*x)^2)^(1/2)),x)","\frac{\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{x\,\left(a^2-1\right)}-\frac{b\,\ln\left(\frac{\sqrt{1-a^2}\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{x}-\frac{a^2-1}{x}-a\,b\right)}{\sqrt{1-a^2}}+\frac{a^2\,b\,\mathrm{atanh}\left(\frac{a^2+b\,x\,a-1}{\sqrt{1-a^2}\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}\right)}{{\left(1-a^2\right)}^{3/2}}+\frac{a\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}{x\,\left(a^2-1\right)}+\frac{a\,b\,\mathrm{atanh}\left(\frac{a^2+b\,x\,a-1}{\sqrt{1-a^2}\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}\right)}{{\left(1-a^2\right)}^{3/2}}","Not used",1,"(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2)/(x*(a^2 - 1)) - (b*log(((1 - a^2)^(1/2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))/x - (a^2 - 1)/x - a*b))/(1 - a^2)^(1/2) + (a^2*b*atanh((a^2 + a*b*x - 1)/((1 - a^2)^(1/2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))))/(1 - a^2)^(3/2) + (a*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))/(x*(a^2 - 1)) + (a*b*atanh((a^2 + a*b*x - 1)/((1 - a^2)^(1/2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))))/(1 - a^2)^(3/2)","B"
824,0,-1,162,0.000000,"\text{Not used}","int((a + b*x + 1)/(x^3*(1 - (a + b*x)^2)^(1/2)),x)","\int \frac{a+b\,x+1}{x^3\,\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((a + b*x + 1)/(x^3*(1 - (a + b*x)^2)^(1/2)), x)","F"
825,0,-1,213,0.000000,"\text{Not used}","int((a + b*x + 1)/(x^4*(1 - (a + b*x)^2)^(1/2)),x)","\int \frac{a+b\,x+1}{x^4\,\sqrt{1-{\left(a+b\,x\right)}^2}} \,d x","Not used",1,"int((a + b*x + 1)/(x^4*(1 - (a + b*x)^2)^(1/2)), x)","F"
826,1,142,83,0.085707,"\text{Not used}","int(-(x^4*(a + b*x + 1)^2)/((a + b*x)^2 - 1),x)","x^4\,\left(\frac{a-1}{4\,b}-\frac{a+1}{4\,b}\right)-\frac{x^5}{5}-\frac{\ln\left(a+b\,x-1\right)\,\left(2\,a^4-8\,a^3+12\,a^2-8\,a+2\right)}{b^5}+\frac{x^2\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a-1\right)}^2}{2\,b^2}-\frac{x^3\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a-1\right)}{3\,b}-\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a-1\right)}^3}{b^3}","Not used",1,"x^4*((a - 1)/(4*b) - (a + 1)/(4*b)) - x^5/5 - (log(a + b*x - 1)*(12*a^2 - 8*a - 8*a^3 + 2*a^4 + 2))/b^5 + (x^2*((a - 1)/b - (a + 1)/b)*(a - 1)^2)/(2*b^2) - (x^3*((a - 1)/b - (a + 1)/b)*(a - 1))/(3*b) - (x*((a - 1)/b - (a + 1)/b)*(a - 1)^3)/b^3","B"
827,1,106,66,0.887919,"\text{Not used}","int(-(x^3*(a + b*x + 1)^2)/((a + b*x)^2 - 1),x)","x^3\,\left(\frac{a-1}{3\,b}-\frac{a+1}{3\,b}\right)-\frac{x^4}{4}+\frac{\ln\left(a+b\,x-1\right)\,\left(2\,a^3-6\,a^2+6\,a-2\right)}{b^4}-\frac{x^2\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a-1\right)}{2\,b}+\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a-1\right)}^2}{b^2}","Not used",1,"x^3*((a - 1)/(3*b) - (a + 1)/(3*b)) - x^4/4 + (log(a + b*x - 1)*(6*a - 6*a^2 + 2*a^3 - 2))/b^4 - (x^2*((a - 1)/b - (a + 1)/b)*(a - 1))/(2*b) + (x*((a - 1)/b - (a + 1)/b)*(a - 1)^2)/b^2","B"
828,1,74,49,0.056418,"\text{Not used}","int(-(x^2*(a + b*x + 1)^2)/((a + b*x)^2 - 1),x)","x^2\,\left(\frac{a-1}{2\,b}-\frac{a+1}{2\,b}\right)-\frac{x^3}{3}-\frac{\ln\left(a+b\,x-1\right)\,\left(2\,a^2-4\,a+2\right)}{b^3}-\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a-1\right)}{b}","Not used",1,"x^2*((a - 1)/(2*b) - (a + 1)/(2*b)) - x^3/3 - (log(a + b*x - 1)*(2*a^2 - 4*a + 2))/b^3 - (x*((a - 1)/b - (a + 1)/b)*(a - 1))/b","B"
829,1,40,34,0.869967,"\text{Not used}","int(-(x*(a + b*x + 1)^2)/((a + b*x)^2 - 1),x)","x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)-\frac{x^2}{2}+\frac{\ln\left(a+b\,x-1\right)\,\left(2\,a-2\right)}{b^2}","Not used",1,"x*((a - 1)/b - (a + 1)/b) - x^2/2 + (log(a + b*x - 1)*(2*a - 2))/b^2","B"
830,1,16,19,0.039988,"\text{Not used}","int(-(a + b*x + 1)^2/((a + b*x)^2 - 1),x)","-x-\frac{2\,\ln\left(a+b\,x-1\right)}{b}","Not used",1,"- x - (2*log(a + b*x - 1))/b","B"
831,1,28,33,0.115970,"\text{Not used}","int(-(a + b*x + 1)^2/(x*((a + b*x)^2 - 1)),x)","\frac{2\,\ln\left(a+b\,x-1\right)}{a-1}-\frac{2\,\ln\left(x\right)}{a-1}-\ln\left(x\right)","Not used",1,"(2*log(a + b*x - 1))/(a - 1) - (2*log(x))/(a - 1) - log(x)","B"
832,1,47,48,0.097873,"\text{Not used}","int(-(a + b*x + 1)^2/(x^2*((a + b*x)^2 - 1)),x)","\frac{a+1}{x\,\left(a-1\right)}-\frac{4\,b\,\mathrm{atanh}\left(\frac{2\,b\,x+\frac{a^2-2\,a+1}{a-1}}{a-1}\right)}{{\left(a-1\right)}^2}","Not used",1,"(a + 1)/(x*(a - 1)) - (4*b*atanh((2*b*x + (a^2 - 2*a + 1)/(a - 1))/(a - 1)))/(a - 1)^2","B"
833,1,66,67,0.930827,"\text{Not used}","int(-(a + b*x + 1)^2/(x^3*((a + b*x)^2 - 1)),x)","\frac{\frac{a+1}{2\,\left(a-1\right)}-\frac{2\,b\,x}{{\left(a-1\right)}^2}}{x^2}+\frac{4\,b^2\,\mathrm{atanh}\left(\frac{a^3-3\,a^2+3\,a-1}{{\left(a-1\right)}^3}+\frac{2\,b\,x}{a-1}\right)}{{\left(a-1\right)}^3}","Not used",1,"((a + 1)/(2*(a - 1)) - (2*b*x)/(a - 1)^2)/x^2 + (4*b^2*atanh((3*a - 3*a^2 + a^3 - 1)/(a - 1)^3 + (2*b*x)/(a - 1)))/(a - 1)^3","B"
834,1,84,82,0.899870,"\text{Not used}","int(-(a + b*x + 1)^2/(x^4*((a + b*x)^2 - 1)),x)","\frac{\frac{a+1}{3\,\left(a-1\right)}+\frac{2\,b^2\,x^2}{{\left(a-1\right)}^3}-\frac{b\,x}{{\left(a-1\right)}^2}}{x^3}-\frac{4\,b^3\,\mathrm{atanh}\left(\frac{a^4-4\,a^3+6\,a^2-4\,a+1}{{\left(a-1\right)}^4}+\frac{2\,b\,x}{a-1}\right)}{{\left(a-1\right)}^4}","Not used",1,"((a + 1)/(3*(a - 1)) + (2*b^2*x^2)/(a - 1)^3 - (b*x)/(a - 1)^2)/x^3 - (4*b^3*atanh((6*a^2 - 4*a - 4*a^3 + a^4 + 1)/(a - 1)^4 + (2*b*x)/(a - 1)))/(a - 1)^4","B"
835,0,-1,187,0.000000,"\text{Not used}","int((x^3*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2),x)","\int \frac{x^3\,{\left(a+b\,x+1\right)}^3}{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2), x)","F"
836,0,-1,168,0.000000,"\text{Not used}","int((x^2*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2),x)","\int \frac{x^2\,{\left(a+b\,x+1\right)}^3}{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2), x)","F"
837,0,-1,121,0.000000,"\text{Not used}","int((x*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2),x)","\int \frac{x\,{\left(a+b\,x+1\right)}^3}{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*x + 1)^3)/(1 - (a + b*x)^2)^(3/2), x)","F"
838,0,-1,68,0.000000,"\text{Not used}","int((a + b*x + 1)^3/(1 - (a + b*x)^2)^(3/2),x)","\int \frac{{\left(a+b\,x+1\right)}^3}{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x + 1)^3/(1 - (a + b*x)^2)^(3/2), x)","F"
839,0,-1,107,0.000000,"\text{Not used}","int((a + b*x + 1)^3/(x*(1 - (a + b*x)^2)^(3/2)),x)","\int \frac{{\left(a+b\,x+1\right)}^3}{x\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x + 1)^3/(x*(1 - (a + b*x)^2)^(3/2)), x)","F"
840,0,-1,134,0.000000,"\text{Not used}","int((a + b*x + 1)^3/(x^2*(1 - (a + b*x)^2)^(3/2)),x)","\int \frac{{\left(a+b\,x+1\right)}^3}{x^2\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x + 1)^3/(x^2*(1 - (a + b*x)^2)^(3/2)), x)","F"
841,0,-1,202,0.000000,"\text{Not used}","int((a + b*x + 1)^3/(x^3*(1 - (a + b*x)^2)^(3/2)),x)","\int \frac{{\left(a+b\,x+1\right)}^3}{x^3\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x + 1)^3/(x^3*(1 - (a + b*x)^2)^(3/2)), x)","F"
842,0,-1,260,0.000000,"\text{Not used}","int((a + b*x + 1)^3/(x^4*(1 - (a + b*x)^2)^(3/2)),x)","\int \frac{{\left(a+b\,x+1\right)}^3}{x^4\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x + 1)^3/(x^4*(1 - (a + b*x)^2)^(3/2)), x)","F"
843,0,-1,156,0.000000,"\text{Not used}","int((x^3*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1),x)","\int \frac{x^3\,\sqrt{1-{\left(a+b\,x\right)}^2}}{a+b\,x+1} \,d x","Not used",1,"int((x^3*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1), x)","F"
844,0,-1,130,0.000000,"\text{Not used}","int((x^2*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1),x)","\int \frac{x^2\,\sqrt{1-{\left(a+b\,x\right)}^2}}{a+b\,x+1} \,d x","Not used",1,"int((x^2*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1), x)","F"
845,0,-1,84,0.000000,"\text{Not used}","int((x*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1),x)","\int \frac{x\,\sqrt{1-{\left(a+b\,x\right)}^2}}{a+b\,x+1} \,d x","Not used",1,"int((x*(1 - (a + b*x)^2)^(1/2))/(a + b*x + 1), x)","F"
846,0,-1,38,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(1/2)/(a + b*x + 1),x)","\int \frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{a+b\,x+1} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(1/2)/(a + b*x + 1), x)","F"
847,0,-1,68,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(1/2)/(x*(a + b*x + 1)),x)","\int \frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{x\,\left(a+b\,x+1\right)} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(1/2)/(x*(a + b*x + 1)), x)","F"
848,0,-1,94,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(1/2)/(x^2*(a + b*x + 1)),x)","\int \frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{x^2\,\left(a+b\,x+1\right)} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(1/2)/(x^2*(a + b*x + 1)), x)","F"
849,0,-1,162,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(1/2)/(x^3*(a + b*x + 1)),x)","\int \frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{x^3\,\left(a+b\,x+1\right)} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(1/2)/(x^3*(a + b*x + 1)), x)","F"
850,0,-1,210,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(1/2)/(x^4*(a + b*x + 1)),x)","\int \frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{x^4\,\left(a+b\,x+1\right)} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(1/2)/(x^4*(a + b*x + 1)), x)","F"
851,1,141,71,0.063416,"\text{Not used}","int(-(x^4*((a + b*x)^2 - 1))/(a + b*x + 1)^2,x)","\frac{\ln\left(a+b\,x+1\right)\,\left(2\,a^4+8\,a^3+12\,a^2+8\,a+2\right)}{b^5}-\frac{x^5}{5}-x^4\,\left(\frac{a-1}{4\,b}-\frac{a+1}{4\,b}\right)-\frac{x^2\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a+1\right)}^2}{2\,b^2}+\frac{x^3\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a+1\right)}{3\,b}+\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a+1\right)}^3}{b^3}","Not used",1,"(log(a + b*x + 1)*(8*a + 12*a^2 + 8*a^3 + 2*a^4 + 2))/b^5 - x^5/5 - x^4*((a - 1)/(4*b) - (a + 1)/(4*b)) - (x^2*((a - 1)/b - (a + 1)/b)*(a + 1)^2)/(2*b^2) + (x^3*((a - 1)/b - (a + 1)/b)*(a + 1))/(3*b) + (x*((a - 1)/b - (a + 1)/b)*(a + 1)^3)/b^3","B"
852,1,109,57,0.049128,"\text{Not used}","int(-(x^3*((a + b*x)^2 - 1))/(a + b*x + 1)^2,x)","\frac{x^2\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a+1\right)}{2\,b}-\frac{x^4}{4}-\frac{\ln\left(a+b\,x+1\right)\,\left(2\,a^3+6\,a^2+6\,a+2\right)}{b^4}-x^3\,\left(\frac{a-1}{3\,b}-\frac{a+1}{3\,b}\right)-\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,{\left(a+1\right)}^2}{b^2}","Not used",1,"(x^2*((a - 1)/b - (a + 1)/b)*(a + 1))/(2*b) - x^4/4 - (log(a + b*x + 1)*(6*a + 6*a^2 + 2*a^3 + 2))/b^4 - x^3*((a - 1)/(3*b) - (a + 1)/(3*b)) - (x*((a - 1)/b - (a + 1)/b)*(a + 1)^2)/b^2","B"
853,1,73,41,0.061978,"\text{Not used}","int(-(x^2*((a + b*x)^2 - 1))/(a + b*x + 1)^2,x)","\frac{\ln\left(a+b\,x+1\right)\,\left(2\,a^2+4\,a+2\right)}{b^3}-\frac{x^3}{3}-x^2\,\left(\frac{a-1}{2\,b}-\frac{a+1}{2\,b}\right)+\frac{x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)\,\left(a+1\right)}{b}","Not used",1,"(log(a + b*x + 1)*(4*a + 2*a^2 + 2))/b^3 - x^3/3 - x^2*((a - 1)/(2*b) - (a + 1)/(2*b)) + (x*((a - 1)/b - (a + 1)/b)*(a + 1))/b","B"
854,1,42,29,0.891551,"\text{Not used}","int(-(x*((a + b*x)^2 - 1))/(a + b*x + 1)^2,x)","-\frac{x^2}{2}-x\,\left(\frac{a-1}{b}-\frac{a+1}{b}\right)-\frac{\ln\left(a+b\,x+1\right)\,\left(2\,a+2\right)}{b^2}","Not used",1,"- x^2/2 - x*((a - 1)/b - (a + 1)/b) - (log(a + b*x + 1)*(2*a + 2))/b^2","B"
855,1,16,16,0.038252,"\text{Not used}","int(-((a + b*x)^2 - 1)/(a + b*x + 1)^2,x)","\frac{2\,\ln\left(a+b\,x+1\right)}{b}-x","Not used",1,"(2*log(a + b*x + 1))/b - x","B"
856,1,28,28,0.103325,"\text{Not used}","int(-((a + b*x)^2 - 1)/(x*(a + b*x + 1)^2),x)","\frac{2\,\ln\left(x\right)}{a+1}-\ln\left(x\right)-\frac{2\,\ln\left(a+b\,x+1\right)}{a+1}","Not used",1,"(2*log(x))/(a + 1) - log(x) - (2*log(a + b*x + 1))/(a + 1)","B"
857,1,47,41,0.920202,"\text{Not used}","int(-((a + b*x)^2 - 1)/(x^2*(a + b*x + 1)^2),x)","\frac{a-1}{x\,\left(a+1\right)}+\frac{4\,b\,\mathrm{atanh}\left(\frac{2\,b\,x+\frac{a^2+2\,a+1}{a+1}}{a+1}\right)}{{\left(a+1\right)}^2}","Not used",1,"(a - 1)/(x*(a + 1)) + (4*b*atanh((2*b*x + (2*a + a^2 + 1)/(a + 1))/(a + 1)))/(a + 1)^2","B"
858,1,66,58,0.914655,"\text{Not used}","int(-((a + b*x)^2 - 1)/(x^3*(a + b*x + 1)^2),x)","\frac{\frac{a-1}{2\,\left(a+1\right)}+\frac{2\,b\,x}{{\left(a+1\right)}^2}}{x^2}-\frac{4\,b^2\,\mathrm{atanh}\left(\frac{a^3+3\,a^2+3\,a+1}{{\left(a+1\right)}^3}+\frac{2\,b\,x}{a+1}\right)}{{\left(a+1\right)}^3}","Not used",1,"((a - 1)/(2*(a + 1)) + (2*b*x)/(a + 1)^2)/x^2 - (4*b^2*atanh((3*a + 3*a^2 + a^3 + 1)/(a + 1)^3 + (2*b*x)/(a + 1)))/(a + 1)^3","B"
859,1,83,70,0.102552,"\text{Not used}","int(-((a + b*x)^2 - 1)/(x^4*(a + b*x + 1)^2),x)","\frac{\frac{a-1}{3\,\left(a+1\right)}-\frac{2\,b^2\,x^2}{{\left(a+1\right)}^3}+\frac{b\,x}{{\left(a+1\right)}^2}}{x^3}+\frac{4\,b^3\,\mathrm{atanh}\left(\frac{a^4+4\,a^3+6\,a^2+4\,a+1}{{\left(a+1\right)}^4}+\frac{2\,b\,x}{a+1}\right)}{{\left(a+1\right)}^4}","Not used",1,"((a - 1)/(3*(a + 1)) - (2*b^2*x^2)/(a + 1)^3 + (b*x)/(a + 1)^2)/x^3 + (4*b^3*atanh((4*a + 6*a^2 + 4*a^3 + a^4 + 1)/(a + 1)^4 + (2*b*x)/(a + 1)))/(a + 1)^4","B"
860,0,-1,187,0.000000,"\text{Not used}","int((x^3*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3,x)","\int \frac{x^3\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((x^3*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3, x)","F"
861,0,-1,167,0.000000,"\text{Not used}","int((x^2*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3,x)","\int \frac{x^2\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((x^2*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3, x)","F"
862,0,-1,119,0.000000,"\text{Not used}","int((x*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3,x)","\int \frac{x\,{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((x*(1 - (a + b*x)^2)^(3/2))/(a + b*x + 1)^3, x)","F"
863,0,-1,68,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(3/2)/(a + b*x + 1)^3,x)","\int \frac{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(3/2)/(a + b*x + 1)^3, x)","F"
864,0,-1,103,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(3/2)/(x*(a + b*x + 1)^3),x)","\int \frac{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{x\,{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(3/2)/(x*(a + b*x + 1)^3), x)","F"
865,0,-1,130,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(3/2)/(x^2*(a + b*x + 1)^3),x)","\int \frac{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{x^2\,{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(3/2)/(x^2*(a + b*x + 1)^3), x)","F"
866,0,-1,200,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(3/2)/(x^3*(a + b*x + 1)^3),x)","\int \frac{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{x^3\,{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(3/2)/(x^3*(a + b*x + 1)^3), x)","F"
867,0,-1,257,0.000000,"\text{Not used}","int((1 - (a + b*x)^2)^(3/2)/(x^4*(a + b*x + 1)^3),x)","\int \frac{{\left(1-{\left(a+b\,x\right)}^2\right)}^{3/2}}{x^4\,{\left(a+b\,x+1\right)}^3} \,d x","Not used",1,"int((1 - (a + b*x)^2)^(3/2)/(x^4*(a + b*x + 1)^3), x)","F"
868,1,10,10,0.966073,"\text{Not used}","int(1/(1 - (b*x + 1)^2)^(1/2),x)","\frac{\mathrm{asin}\left(b\,x+1\right)}{b}","Not used",1,"asin(b*x + 1)/b","B"
869,0,-1,109,0.000000,"\text{Not used}","int(-(x^3*(a + b*x + 1))/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","-\int \frac{x^3\,\left(a+b\,x+1\right)}{\sqrt{1-{\left(a+b\,x\right)}^2}\,\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)} \,d x","Not used",1,"-int((x^3*(a + b*x + 1))/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)), x)","F"
870,0,-1,78,0.000000,"\text{Not used}","int(-(x^2*(a + b*x + 1))/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","-\int \frac{x^2\,\left(a+b\,x+1\right)}{\sqrt{1-{\left(a+b\,x\right)}^2}\,\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)} \,d x","Not used",1,"-int((x^2*(a + b*x + 1))/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)), x)","F"
871,1,229,44,1.646465,"\text{Not used}","int(-(x*(a + b*x + 1))/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","\frac{\left(\frac{a^2\,x}{b}+\frac{a\,\left(a^2-1\right)}{b^2}\right)\,\sqrt{1-{\left(a+b\,x\right)}^2}}{a^2+2\,a\,b\,x+b^2\,x^2-1}+\frac{b\,\ln\left(\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}-\frac{x\,b^2+a\,b}{\sqrt{-b^2}}\right)}{{\left(-b^2\right)}^{3/2}}+\frac{\left(\frac{a^2-1}{b^2}+\frac{a\,x}{b}\right)\,\sqrt{1-{\left(a+b\,x\right)}^2}}{a^2+2\,a\,b\,x+b^2\,x^2-1}+\frac{x\,\left(b^2\,\left(a^2-1\right)-2\,a^2\,b^2\right)-a\,b\,\left(a^2-1\right)}{b\,\left(b^2\,\left(a^2-1\right)-a^2\,b^2\right)\,\sqrt{-a^2-2\,a\,b\,x-b^2\,x^2+1}}","Not used",1,"(((a^2*x)/b + (a*(a^2 - 1))/b^2)*(1 - (a + b*x)^2)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x - 1) + (b*log((1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2) - (a*b + b^2*x)/(-b^2)^(1/2)))/(-b^2)^(3/2) + (((a^2 - 1)/b^2 + (a*x)/b)*(1 - (a + b*x)^2)^(1/2))/(a^2 + b^2*x^2 + 2*a*b*x - 1) + (x*(b^2*(a^2 - 1) - 2*a^2*b^2) - a*b*(a^2 - 1))/(b*(b^2*(a^2 - 1) - a^2*b^2)*(1 - b^2*x^2 - 2*a*b*x - a^2)^(1/2))","B"
872,1,26,27,0.180396,"\text{Not used}","int(-(a + b*x + 1)/((1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","-\frac{\sqrt{1-{\left(a+b\,x\right)}^2}}{b\,\left(a+b\,x-1\right)}","Not used",1,"-(1 - (a + b*x)^2)^(1/2)/(b*(a + b*x - 1))","B"
873,0,-1,93,0.000000,"\text{Not used}","int(-(a + b*x + 1)/(x*(1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","\int -\frac{a+b\,x+1}{x\,\sqrt{1-{\left(a+b\,x\right)}^2}\,\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a + b*x + 1)/(x*(1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)), x)","F"
874,0,-1,150,0.000000,"\text{Not used}","int(-(a + b*x + 1)/(x^2*(1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)),x)","\int -\frac{a+b\,x+1}{x^2\,\sqrt{1-{\left(a+b\,x\right)}^2}\,\left(a^2+2\,a\,b\,x+b^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a + b*x + 1)/(x^2*(1 - (a + b*x)^2)^(1/2)*(a^2 + b^2*x^2 + 2*a*b*x - 1)), x)","F"
875,0,-1,109,0.000000,"\text{Not used}","int(x^m*exp(n*atanh(a + b*x)),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^m*exp(n*atanh(a + b*x)), x)","F"
876,0,-1,206,0.000000,"\text{Not used}","int(x^3*exp(n*atanh(a + b*x)),x)","\int x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^3*exp(n*atanh(a + b*x)), x)","F"
877,0,-1,170,0.000000,"\text{Not used}","int(x^2*exp(n*atanh(a + b*x)),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)} \,d x","Not used",1,"int(x^2*exp(n*atanh(a + b*x)), x)","F"
878,0,-1,114,0.000000,"\text{Not used}","int(x*exp(n*atanh(a + b*x)),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)} \,d x","Not used",1,"int(x*exp(n*atanh(a + b*x)), x)","F"
879,0,-1,71,0.000000,"\text{Not used}","int(exp(n*atanh(a + b*x)),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)} \,d x","Not used",1,"int(exp(n*atanh(a + b*x)), x)","F"
880,0,-1,135,0.000000,"\text{Not used}","int(exp(n*atanh(a + b*x))/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)}}{x} \,d x","Not used",1,"int(exp(n*atanh(a + b*x))/x, x)","F"
881,0,-1,92,0.000000,"\text{Not used}","int(exp(n*atanh(a + b*x))/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)}}{x^2} \,d x","Not used",1,"int(exp(n*atanh(a + b*x))/x^2, x)","F"
882,0,-1,152,0.000000,"\text{Not used}","int(exp(n*atanh(a + b*x))/x^3,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a+b\,x\right)}}{x^3} \,d x","Not used",1,"int(exp(n*atanh(a + b*x))/x^3, x)","F"
883,1,118,127,0.085526,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{35\,c^4\,x\,\sqrt{1-a^2\,x^2}}{128}+\frac{35\,c^4\,x\,{\left(1-a^2\,x^2\right)}^{3/2}}{192}+\frac{7\,c^4\,x\,{\left(1-a^2\,x^2\right)}^{5/2}}{48}+\frac{c^4\,x\,{\left(1-a^2\,x^2\right)}^{7/2}}{8}-\frac{c^4\,{\left(1-a^2\,x^2\right)}^{9/2}}{9\,a}-\frac{35\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{128\,a^2}","Not used",1,"(35*c^4*x*(1 - a^2*x^2)^(1/2))/128 + (35*c^4*x*(1 - a^2*x^2)^(3/2))/192 + (7*c^4*x*(1 - a^2*x^2)^(5/2))/48 + (c^4*x*(1 - a^2*x^2)^(7/2))/8 - (c^4*(1 - a^2*x^2)^(9/2))/(9*a) - (35*c^4*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(128*a^2)","B"
884,1,100,105,0.901402,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{5\,c^3\,x\,\sqrt{1-a^2\,x^2}}{16}+\frac{5\,c^3\,x\,{\left(1-a^2\,x^2\right)}^{3/2}}{24}+\frac{c^3\,x\,{\left(1-a^2\,x^2\right)}^{5/2}}{6}-\frac{c^3\,{\left(1-a^2\,x^2\right)}^{7/2}}{7\,a}-\frac{5\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{16\,a^2}","Not used",1,"(5*c^3*x*(1 - a^2*x^2)^(1/2))/16 + (5*c^3*x*(1 - a^2*x^2)^(3/2))/24 + (c^3*x*(1 - a^2*x^2)^(5/2))/6 - (c^3*(1 - a^2*x^2)^(7/2))/(7*a) - (5*c^3*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(16*a^2)","B"
885,1,82,83,0.907881,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{3\,c^2\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{c^2\,x\,{\left(1-a^2\,x^2\right)}^{3/2}}{4}-\frac{c^2\,{\left(1-a^2\,x^2\right)}^{5/2}}{5\,a}-\frac{3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{8\,a^2}","Not used",1,"(3*c^2*x*(1 - a^2*x^2)^(1/2))/8 + (c^2*x*(1 - a^2*x^2)^(3/2))/4 - (c^2*(1 - a^2*x^2)^(5/2))/(5*a) - (3*c^2*asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(8*a^2)","B"
886,1,80,55,0.881136,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{a\,c}{3\,\sqrt{-a^2}}+\frac{c\,x\,\sqrt{-a^2}}{2}-\frac{a^3\,c\,x^2}{3\,\sqrt{-a^2}}\right)}{\sqrt{-a^2}}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((a*c)/(3*(-a^2)^(1/2)) + (c*x*(-a^2)^(1/2))/2 - (a^3*c*x^2)/(3*(-a^2)^(1/2))))/(-a^2)^(1/2) + (c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
887,1,140,101,0.886218,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{5\,\sqrt{1-a^2\,x^2}}{3\,a^5\,c}-\frac{\sqrt{1-a^2\,x^2}}{\sqrt{-a^2}\,\left(a^3\,c\,\sqrt{-a^2}-a^4\,c\,x\,\sqrt{-a^2}\right)}+\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^4\,c}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^4\,c\,\sqrt{-a^2}}+\frac{x^2\,\sqrt{1-a^2\,x^2}}{3\,a^3\,c}","Not used",1,"(5*(1 - a^2*x^2)^(1/2))/(3*a^5*c) - (1 - a^2*x^2)^(1/2)/((-a^2)^(1/2)*(a^3*c*(-a^2)^(1/2) - a^4*c*x*(-a^2)^(1/2))) + (x*(1 - a^2*x^2)^(1/2))/(2*a^4*c) - (3*asinh(x*(-a^2)^(1/2)))/(2*a^4*c*(-a^2)^(1/2)) + (x^2*(1 - a^2*x^2)^(1/2))/(3*a^3*c)","B"
888,1,128,74,0.929820,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a^3\,c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^3\,c\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{1}{a^2\,c\,\sqrt{-a^2}}-\frac{x\,\sqrt{-a^2}}{2\,a^3\,c}\right)}{\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a^3*c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (3*asinh(x*(-a^2)^(1/2)))/(2*a^3*c*(-a^2)^(1/2)) - ((1 - a^2*x^2)^(1/2)*(1/(a^2*c*(-a^2)^(1/2)) - (x*(-a^2)^(1/2))/(2*a^3*c)))/(-a^2)^(1/2)","B"
889,1,93,60,0.069542,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{a^3\,c}-\frac{\sqrt{1-a^2\,x^2}}{\left(a\,c\,\sqrt{-a^2}-a^2\,c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^2\,c\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(a^3*c) - (1 - a^2*x^2)^(1/2)/((a*c*(-a^2)^(1/2) - a^2*c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - asinh(x*(-a^2)^(1/2))/(a^2*c*(-a^2)^(1/2))","B"
890,1,64,39,0.896771,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{1}{a^2\,c\,\sqrt{1-a^2\,x^2}}+\frac{x}{a\,c\,\sqrt{1-a^2\,x^2}}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{a^3\,c}","Not used",1,"1/(a^2*c*(1 - a^2*x^2)^(1/2)) + x/(a*c*(1 - a^2*x^2)^(1/2)) + (asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(a^3*c)","B"
891,1,47,13,0.872440,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
892,1,67,44,0.894815,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{a\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{c}","Not used",1,"(a*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - atanh((1 - a^2*x^2)^(1/2))/c","B"
893,1,90,70,0.897522,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\frac{a^2\,\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{c\,x}-\frac{a\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)}{c}","Not used",1,"(a^2*(1 - a^2*x^2)^(1/2))/(c*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(c*x) - (a*atanh((1 - a^2*x^2)^(1/2)))/c","B"
894,1,117,99,0.069038,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{1-a^2\,x^2}}{2\,c\,x^2}-\frac{a\,\sqrt{1-a^2\,x^2}}{c\,x}-\frac{a^3\,\sqrt{1-a^2\,x^2}}{\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,c}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(2*c) - (1 - a^2*x^2)^(1/2)/(2*c*x^2) - (a*(1 - a^2*x^2)^(1/2))/(c*x) - (a^3*(1 - a^2*x^2)^(1/2))/(((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
895,1,140,128,0.901026,"\text{Not used}","int((a*x + 1)/(x^4*(c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","-\frac{\sqrt{1-a^2\,x^2}}{3\,c\,x^3}-\frac{a\,\sqrt{1-a^2\,x^2}}{2\,c\,x^2}-\frac{5\,a^2\,\sqrt{1-a^2\,x^2}}{3\,c\,x}-\frac{a^4\,\sqrt{1-a^2\,x^2}}{\left(\frac{c\,\sqrt{-a^2}}{a}-c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,c}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*3i)/(2*c) - (1 - a^2*x^2)^(1/2)/(3*c*x^3) - (a*(1 - a^2*x^2)^(1/2))/(2*c*x^2) - (5*a^2*(1 - a^2*x^2)^(1/2))/(3*c*x) - (a^4*(1 - a^2*x^2)^(1/2))/(((c*(-a^2)^(1/2))/a - c*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
896,1,241,137,0.077206,"\text{Not used}","int((x^6*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{6\,\left(a^9\,c^2\,x^2-2\,a^8\,c^2\,x+a^7\,c^2\right)}+\frac{\sqrt{1-a^2\,x^2}}{4\,\left(a^5\,c^2\,\sqrt{-a^2}+a^6\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{31\,\sqrt{1-a^2\,x^2}}{12\,\left(a^5\,c^2\,\sqrt{-a^2}-a^6\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{8\,\sqrt{1-a^2\,x^2}}{3\,a^7\,c^2}-\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^6\,c^2}+\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^6\,c^2\,\sqrt{-a^2}}-\frac{x^2\,\sqrt{1-a^2\,x^2}}{3\,a^5\,c^2}","Not used",1,"(1 - a^2*x^2)^(1/2)/(6*(a^7*c^2 - 2*a^8*c^2*x + a^9*c^2*x^2)) + (1 - a^2*x^2)^(1/2)/(4*(a^5*c^2*(-a^2)^(1/2) + a^6*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (31*(1 - a^2*x^2)^(1/2))/(12*(a^5*c^2*(-a^2)^(1/2) - a^6*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (8*(1 - a^2*x^2)^(1/2))/(3*a^7*c^2) - (x*(1 - a^2*x^2)^(1/2))/(2*a^6*c^2) + (5*asinh(x*(-a^2)^(1/2)))/(2*a^6*c^2*(-a^2)^(1/2)) - (x^2*(1 - a^2*x^2)^(1/2))/(3*a^5*c^2)","B"
897,1,218,110,0.898113,"\text{Not used}","int((x^5*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{6\,\left(a^8\,c^2\,x^2-2\,a^7\,c^2\,x+a^6\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{4\,\left(a^4\,c^2\,\sqrt{-a^2}+a^5\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{25\,\sqrt{1-a^2\,x^2}}{12\,\left(a^4\,c^2\,\sqrt{-a^2}-a^5\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a^6\,c^2}-\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^5\,c^2}+\frac{5\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^5\,c^2\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(6*(a^6*c^2 - 2*a^7*c^2*x + a^8*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(4*(a^4*c^2*(-a^2)^(1/2) + a^5*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (25*(1 - a^2*x^2)^(1/2))/(12*(a^4*c^2*(-a^2)^(1/2) - a^5*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a^6*c^2) - (x*(1 - a^2*x^2)^(1/2))/(2*a^5*c^2) + (5*asinh(x*(-a^2)^(1/2)))/(2*a^5*c^2*(-a^2)^(1/2))","B"
898,1,196,99,0.068340,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{6\,\left(a^7\,c^2\,x^2-2\,a^6\,c^2\,x+a^5\,c^2\right)}+\frac{\sqrt{1-a^2\,x^2}}{4\,\left(a^3\,c^2\,\sqrt{-a^2}+a^4\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{19\,\sqrt{1-a^2\,x^2}}{12\,\left(a^3\,c^2\,\sqrt{-a^2}-a^4\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a^5\,c^2}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^4\,c^2\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(6*(a^5*c^2 - 2*a^6*c^2*x + a^7*c^2*x^2)) + (1 - a^2*x^2)^(1/2)/(4*(a^3*c^2*(-a^2)^(1/2) + a^4*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (19*(1 - a^2*x^2)^(1/2))/(12*(a^3*c^2*(-a^2)^(1/2) - a^4*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a^5*c^2) + asinh(x*(-a^2)^(1/2))/(a^4*c^2*(-a^2)^(1/2))","B"
899,1,176,74,0.074175,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{6\,\left(a^6\,c^2\,x^2-2\,a^5\,c^2\,x+a^4\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{4\,\left(a^2\,c^2\,\sqrt{-a^2}+a^3\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{13\,\sqrt{1-a^2\,x^2}}{12\,\left(a^2\,c^2\,\sqrt{-a^2}-a^3\,c^2\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^3\,c^2\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(6*(a^4*c^2 - 2*a^5*c^2*x + a^6*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(4*(a^2*c^2*(-a^2)^(1/2) + a^3*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (13*(1 - a^2*x^2)^(1/2))/(12*(a^2*c^2*(-a^2)^(1/2) - a^3*c^2*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + asinh(x*(-a^2)^(1/2))/(a^3*c^2*(-a^2)^(1/2))","B"
900,1,102,57,0.927228,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","-\frac{12\,a^7\,c^2\,{\left(1-a^2\,x^2\right)}^{3/2}-36\,a^7\,c^2\,{\left(1-a^2\,x^2\right)}^{5/2}+12\,a^8\,c^2\,x\,{\left(1-a^2\,x^2\right)}^{3/2}-12\,a^8\,c^2\,x\,{\left(1-a^2\,x^2\right)}^{5/2}}{36\,a^{10}\,c^4\,{\left(a^2\,x^2-1\right)}^3}","Not used",1,"-(12*a^7*c^2*(1 - a^2*x^2)^(3/2) - 36*a^7*c^2*(1 - a^2*x^2)^(5/2) + 12*a^8*c^2*x*(1 - a^2*x^2)^(3/2) - 12*a^8*c^2*x*(1 - a^2*x^2)^(5/2))/(36*a^10*c^4*(a^2*x^2 - 1)^3)","B"
901,1,63,55,0.916253,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{1}{3\,a^2\,c^2\,{\left(1-a^2\,x^2\right)}^{3/2}}-\frac{x}{3\,a\,c^2\,\sqrt{1-a^2\,x^2}}+\frac{x}{3\,a\,c^2\,{\left(1-a^2\,x^2\right)}^{3/2}}","Not used",1,"1/(3*a^2*c^2*(1 - a^2*x^2)^(3/2)) - x/(3*a*c^2*(1 - a^2*x^2)^(1/2)) + x/(3*a*c^2*(1 - a^2*x^2)^(3/2))","B"
902,1,48,52,0.079307,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(-2\,a^2\,x^2+2\,a\,x+1\right)}{3\,a\,c^2\,{\left(a\,x-1\right)}^2\,\left(a\,x+1\right)}","Not used",1,"((1 - a^2*x^2)^(1/2)*(2*a*x - 2*a^2*x^2 + 1))/(3*a*c^2*(a*x - 1)^2*(a*x + 1))","B"
903,1,173,74,0.909589,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a^2\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{11\,a\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^2}","Not used",1,"(atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^2 + (a^2*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (11*a*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
904,1,198,105,0.900220,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a^3\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{c^2\,x}+\frac{a^2\,\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{17\,a^2\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^2}","Not used",1,"(a^3*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(c^2*x) + (a*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^2 + (a^2*(1 - a^2*x^2)^(1/2))/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (17*a^2*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
905,1,221,134,0.071806,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a^4\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^2\,x^2}-\frac{a\,\sqrt{1-a^2\,x^2}}{c^2\,x}-\frac{a^3\,\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{23\,a^3\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2\,c^2}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/(2*c^2) + (a^4*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(2*c^2*x^2) - (a*(1 - a^2*x^2)^(1/2))/(c^2*x) - (a^3*(1 - a^2*x^2)^(1/2))/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (23*a^3*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
906,1,244,161,0.912809,"\text{Not used}","int((a*x + 1)/(x^4*(c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\frac{a^5\,\sqrt{1-a^2\,x^2}}{6\,\left(a^4\,c^2\,x^2-2\,a^3\,c^2\,x+a^2\,c^2\right)}-\frac{\sqrt{1-a^2\,x^2}}{3\,c^2\,x^3}-\frac{a\,\sqrt{1-a^2\,x^2}}{2\,c^2\,x^2}-\frac{8\,a^2\,\sqrt{1-a^2\,x^2}}{3\,c^2\,x}+\frac{a^4\,\sqrt{1-a^2\,x^2}}{4\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}+\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{29\,a^4\,\sqrt{1-a^2\,x^2}}{12\,\sqrt{-a^2}\,\left(c^2\,x\,\sqrt{-a^2}-\frac{c^2\,\sqrt{-a^2}}{a}\right)}+\frac{a^3\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2\,c^2}","Not used",1,"(a^3*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/(2*c^2) + (a^5*(1 - a^2*x^2)^(1/2))/(6*(a^2*c^2 - 2*a^3*c^2*x + a^4*c^2*x^2)) - (1 - a^2*x^2)^(1/2)/(3*c^2*x^3) - (a*(1 - a^2*x^2)^(1/2))/(2*c^2*x^2) - (8*a^2*(1 - a^2*x^2)^(1/2))/(3*c^2*x) + (a^4*(1 - a^2*x^2)^(1/2))/(4*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) + (c^2*(-a^2)^(1/2))/a)) + (29*a^4*(1 - a^2*x^2)^(1/2))/(12*(-a^2)^(1/2)*(c^2*x*(-a^2)^(1/2) - (c^2*(-a^2)^(1/2))/a))","B"
907,1,352,143,0.104129,"\text{Not used}","int((x^7*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^{10}\,c^3\,x^2+2\,a^9\,c^3\,x+a^8\,c^3\right)}-\frac{7\,\sqrt{1-a^2\,x^2}}{15\,\left(a^{10}\,c^3\,x^2-2\,a^9\,c^3\,x+a^8\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a^6\,c^3\,\sqrt{-a^2}+3\,a^8\,c^3\,x^2\,\sqrt{-a^2}-a^9\,c^3\,x^3\,\sqrt{-a^2}-3\,a^7\,c^3\,x\,\sqrt{-a^2}\right)}+\frac{31\,\sqrt{1-a^2\,x^2}}{48\,\left(a^6\,c^3\,\sqrt{-a^2}+a^7\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{773\,\sqrt{1-a^2\,x^2}}{240\,\left(a^6\,c^3\,\sqrt{-a^2}-a^7\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{a^8\,c^3}+\frac{x\,\sqrt{1-a^2\,x^2}}{2\,a^7\,c^3}-\frac{7\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,a^7\,c^3\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(24*(a^8*c^3 + 2*a^9*c^3*x + a^10*c^3*x^2)) - (7*(1 - a^2*x^2)^(1/2))/(15*(a^8*c^3 - 2*a^9*c^3*x + a^10*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a^6*c^3*(-a^2)^(1/2) + 3*a^8*c^3*x^2*(-a^2)^(1/2) - a^9*c^3*x^3*(-a^2)^(1/2) - 3*a^7*c^3*x*(-a^2)^(1/2))) + (31*(1 - a^2*x^2)^(1/2))/(48*(a^6*c^3*(-a^2)^(1/2) + a^7*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (773*(1 - a^2*x^2)^(1/2))/(240*(a^6*c^3*(-a^2)^(1/2) - a^7*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (1 - a^2*x^2)^(1/2)/(a^8*c^3) + (x*(1 - a^2*x^2)^(1/2))/(2*a^7*c^3) - (7*asinh(x*(-a^2)^(1/2)))/(2*a^7*c^3*(-a^2)^(1/2))","B"
908,1,379,133,0.921154,"\text{Not used}","int((x^6*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{a^6\,\sqrt{1-a^2\,x^2}}{30\,\left(a^{15}\,c^3\,x^2-2\,a^{14}\,c^3\,x+a^{13}\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^9\,c^3\,x^2+2\,a^8\,c^3\,x+a^7\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a^5\,c^3\,\sqrt{-a^2}+3\,a^7\,c^3\,x^2\,\sqrt{-a^2}-a^8\,c^3\,x^3\,\sqrt{-a^2}-3\,a^6\,c^3\,x\,\sqrt{-a^2}\right)}-\frac{5\,\sqrt{1-a^2\,x^2}}{12\,\left(a^9\,c^3\,x^2-2\,a^8\,c^3\,x+a^7\,c^3\right)}-\frac{25\,\sqrt{1-a^2\,x^2}}{48\,\left(a^5\,c^3\,\sqrt{-a^2}+a^6\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{493\,\sqrt{1-a^2\,x^2}}{240\,\left(a^5\,c^3\,\sqrt{-a^2}-a^6\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{\sqrt{1-a^2\,x^2}}{a^7\,c^3}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^6\,c^3\,\sqrt{-a^2}}","Not used",1,"(a^6*(1 - a^2*x^2)^(1/2))/(30*(a^13*c^3 - 2*a^14*c^3*x + a^15*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(24*(a^7*c^3 + 2*a^8*c^3*x + a^9*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a^5*c^3*(-a^2)^(1/2) + 3*a^7*c^3*x^2*(-a^2)^(1/2) - a^8*c^3*x^3*(-a^2)^(1/2) - 3*a^6*c^3*x*(-a^2)^(1/2))) - (5*(1 - a^2*x^2)^(1/2))/(12*(a^7*c^3 - 2*a^8*c^3*x + a^9*c^3*x^2)) - (25*(1 - a^2*x^2)^(1/2))/(48*(a^5*c^3*(-a^2)^(1/2) + a^6*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (493*(1 - a^2*x^2)^(1/2))/(240*(a^5*c^3*(-a^2)^(1/2) - a^6*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (1 - a^2*x^2)^(1/2)/(a^7*c^3) - asinh(x*(-a^2)^(1/2))/(a^6*c^3*(-a^2)^(1/2))","B"
909,1,312,108,0.926900,"\text{Not used}","int((x^5*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^8\,c^3\,x^2+2\,a^7\,c^3\,x+a^6\,c^3\right)}-\frac{3\,\sqrt{1-a^2\,x^2}}{10\,\left(a^8\,c^3\,x^2-2\,a^7\,c^3\,x+a^6\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a^4\,c^3\,\sqrt{-a^2}+3\,a^6\,c^3\,x^2\,\sqrt{-a^2}-a^7\,c^3\,x^3\,\sqrt{-a^2}-3\,a^5\,c^3\,x\,\sqrt{-a^2}\right)}+\frac{19\,\sqrt{1-a^2\,x^2}}{48\,\left(a^4\,c^3\,\sqrt{-a^2}+a^5\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{91\,\sqrt{1-a^2\,x^2}}{80\,\left(a^4\,c^3\,\sqrt{-a^2}-a^5\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^5\,c^3\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(24*(a^6*c^3 + 2*a^7*c^3*x + a^8*c^3*x^2)) - (3*(1 - a^2*x^2)^(1/2))/(10*(a^6*c^3 - 2*a^7*c^3*x + a^8*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a^4*c^3*(-a^2)^(1/2) + 3*a^6*c^3*x^2*(-a^2)^(1/2) - a^7*c^3*x^3*(-a^2)^(1/2) - 3*a^5*c^3*x*(-a^2)^(1/2))) + (19*(1 - a^2*x^2)^(1/2))/(48*(a^4*c^3*(-a^2)^(1/2) + a^5*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (91*(1 - a^2*x^2)^(1/2))/(80*(a^4*c^3*(-a^2)^(1/2) - a^5*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - asinh(x*(-a^2)^(1/2))/(a^5*c^3*(-a^2)^(1/2))","B"
910,1,335,81,0.920469,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{a^4\,\sqrt{1-a^2\,x^2}}{30\,\left(a^{11}\,c^3\,x^2-2\,a^{10}\,c^3\,x+a^9\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^7\,c^3\,x^2+2\,a^6\,c^3\,x+a^5\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a^3\,c^3\,\sqrt{-a^2}+3\,a^5\,c^3\,x^2\,\sqrt{-a^2}-a^6\,c^3\,x^3\,\sqrt{-a^2}-3\,a^4\,c^3\,x\,\sqrt{-a^2}\right)}-\frac{\sqrt{1-a^2\,x^2}}{4\,\left(a^7\,c^3\,x^2-2\,a^6\,c^3\,x+a^5\,c^3\right)}-\frac{13\,\sqrt{1-a^2\,x^2}}{48\,\left(a^3\,c^3\,\sqrt{-a^2}+a^4\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{113\,\sqrt{1-a^2\,x^2}}{240\,\left(a^3\,c^3\,\sqrt{-a^2}-a^4\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}","Not used",1,"(a^4*(1 - a^2*x^2)^(1/2))/(30*(a^9*c^3 - 2*a^10*c^3*x + a^11*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(24*(a^5*c^3 + 2*a^6*c^3*x + a^7*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a^3*c^3*(-a^2)^(1/2) + 3*a^5*c^3*x^2*(-a^2)^(1/2) - a^6*c^3*x^3*(-a^2)^(1/2) - 3*a^4*c^3*x*(-a^2)^(1/2))) - (1 - a^2*x^2)^(1/2)/(4*(a^5*c^3 - 2*a^6*c^3*x + a^7*c^3*x^2)) - (13*(1 - a^2*x^2)^(1/2))/(48*(a^3*c^3*(-a^2)^(1/2) + a^4*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (113*(1 - a^2*x^2)^(1/2))/(240*(a^3*c^3*(-a^2)^(1/2) - a^4*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
911,1,287,74,0.077873,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^6\,c^3\,x^2+2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{2\,\sqrt{1-a^2\,x^2}}{15\,\left(a^6\,c^3\,x^2-2\,a^5\,c^3\,x+a^4\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a^2\,c^3\,\sqrt{-a^2}+3\,a^4\,c^3\,x^2\,\sqrt{-a^2}-a^5\,c^3\,x^3\,\sqrt{-a^2}-3\,a^3\,c^3\,x\,\sqrt{-a^2}\right)}+\frac{7\,\sqrt{1-a^2\,x^2}}{48\,\left(a^2\,c^3\,\sqrt{-a^2}+a^3\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{13\,\sqrt{1-a^2\,x^2}}{240\,\left(a^2\,c^3\,\sqrt{-a^2}-a^3\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(24*(a^4*c^3 + 2*a^5*c^3*x + a^6*c^3*x^2)) - (2*(1 - a^2*x^2)^(1/2))/(15*(a^4*c^3 - 2*a^5*c^3*x + a^6*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a^2*c^3*(-a^2)^(1/2) + 3*a^4*c^3*x^2*(-a^2)^(1/2) - a^5*c^3*x^3*(-a^2)^(1/2) - 3*a^3*c^3*x*(-a^2)^(1/2))) + (7*(1 - a^2*x^2)^(1/2))/(48*(a^2*c^3*(-a^2)^(1/2) + a^3*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (13*(1 - a^2*x^2)^(1/2))/(240*(a^2*c^3*(-a^2)^(1/2) - a^3*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2))","B"
912,1,329,88,0.910043,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{9\,\sqrt{1-a^2\,x^2}}{80\,\left(a\,c^3\,\sqrt{-a^2}-a^2\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^5\,c^3\,x^2+2\,a^4\,c^3\,x+a^3\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{48\,\left(a\,c^3\,\sqrt{-a^2}+a^2\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{12\,\left(a^5\,c^3\,x^2-2\,a^4\,c^3\,x+a^3\,c^3\right)}+\frac{a^2\,\sqrt{1-a^2\,x^2}}{30\,\left(a^7\,c^3\,x^2-2\,a^6\,c^3\,x+a^5\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(a\,c^3\,\sqrt{-a^2}+3\,a^3\,c^3\,x^2\,\sqrt{-a^2}-a^4\,c^3\,x^3\,\sqrt{-a^2}-3\,a^2\,c^3\,x\,\sqrt{-a^2}\right)}","Not used",1,"(9*(1 - a^2*x^2)^(1/2))/(80*(a*c^3*(-a^2)^(1/2) - a^2*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(24*(a^3*c^3 + 2*a^4*c^3*x + a^5*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(48*(a*c^3*(-a^2)^(1/2) + a^2*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(12*(a^3*c^3 - 2*a^4*c^3*x + a^5*c^3*x^2)) + (a^2*(1 - a^2*x^2)^(1/2))/(30*(a^5*c^3 - 2*a^6*c^3*x + a^7*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(a*c^3*(-a^2)^(1/2) + 3*a^3*c^3*x^2*(-a^2)^(1/2) - a^4*c^3*x^3*(-a^2)^(1/2) - 3*a^2*c^3*x*(-a^2)^(1/2)))","B"
913,1,271,80,0.074576,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{\sqrt{1-a^2\,x^2}}{30\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{5\,\sqrt{1-a^2\,x^2}}{48\,\left(c^3\,\sqrt{-a^2}+a\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}+\frac{7\,\sqrt{1-a^2\,x^2}}{240\,\left(c^3\,\sqrt{-a^2}-a\,c^3\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(c^3\,\sqrt{-a^2}+3\,a^2\,c^3\,x^2\,\sqrt{-a^2}-a^3\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x\,\sqrt{-a^2}\right)}","Not used",1,"(1 - a^2*x^2)^(1/2)/(30*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (1 - a^2*x^2)^(1/2)/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (5*(1 - a^2*x^2)^(1/2))/(48*(c^3*(-a^2)^(1/2) + a*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) + (7*(1 - a^2*x^2)^(1/2))/(240*(c^3*(-a^2)^(1/2) - a*c^3*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(c^3*(-a^2)^(1/2) + 3*a^2*c^3*x^2*(-a^2)^(1/2) - a^3*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x*(-a^2)^(1/2)))","B"
914,1,279,74,0.897485,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{7\,a\,\sqrt{1-a^2\,x^2}}{60\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{11\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{73\,\sqrt{1-a^2\,x^2}}{240\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(7*a*(1 - a^2*x^2)^(1/2))/(60*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) + (11*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) + (73*(1 - a^2*x^2)^(1/2))/(240*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
915,1,306,101,0.087945,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{a^2\,\sqrt{1-a^2\,x^2}}{5\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{a^2\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{17\,a\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{71\,a\,\sqrt{1-a^2\,x^2}}{80\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^3}","Not used",1,"(atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^3 + (a^2*(1 - a^2*x^2)^(1/2))/(5*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (a^2*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (17*a*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) + (71*a*(1 - a^2*x^2)^(1/2))/(80*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (a*(1 - a^2*x^2)^(1/2))/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
916,1,335,135,0.093721,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{17\,a^3\,\sqrt{1-a^2\,x^2}}{60\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{a^3\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{c^3\,x}+\frac{23\,a^2\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{413\,a^2\,\sqrt{1-a^2\,x^2}}{240\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{a^2\,\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{a\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^3}","Not used",1,"(17*a^3*(1 - a^2*x^2)^(1/2))/(60*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) - (a^3*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(c^3*x) + (a*atan((1 - a^2*x^2)^(1/2)*1i)*1i)/c^3 + (23*a^2*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) + (413*a^2*(1 - a^2*x^2)^(1/2))/(240*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (a^2*(1 - a^2*x^2)^(1/2))/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
917,1,357,164,0.919517,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\frac{11\,a^4\,\sqrt{1-a^2\,x^2}}{30\,\left(a^4\,c^3\,x^2-2\,a^3\,c^3\,x+a^2\,c^3\right)}+\frac{a^4\,\sqrt{1-a^2\,x^2}}{24\,\left(a^4\,c^3\,x^2+2\,a^3\,c^3\,x+a^2\,c^3\right)}-\frac{\sqrt{1-a^2\,x^2}}{2\,c^3\,x^2}-\frac{a\,\sqrt{1-a^2\,x^2}}{c^3\,x}-\frac{29\,a^3\,\sqrt{1-a^2\,x^2}}{48\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}+\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{673\,a^3\,\sqrt{1-a^2\,x^2}}{240\,\sqrt{-a^2}\,\left(c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}\right)}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{20\,\sqrt{-a^2}\,\left(3\,c^3\,x\,\sqrt{-a^2}-\frac{c^3\,\sqrt{-a^2}}{a}+a^2\,c^3\,x^3\,\sqrt{-a^2}-3\,a\,c^3\,x^2\,\sqrt{-a^2}\right)}+\frac{a^2\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{2\,c^3}","Not used",1,"(a^2*atan((1 - a^2*x^2)^(1/2)*1i)*7i)/(2*c^3) + (11*a^4*(1 - a^2*x^2)^(1/2))/(30*(a^2*c^3 - 2*a^3*c^3*x + a^4*c^3*x^2)) + (a^4*(1 - a^2*x^2)^(1/2))/(24*(a^2*c^3 + 2*a^3*c^3*x + a^4*c^3*x^2)) - (1 - a^2*x^2)^(1/2)/(2*c^3*x^2) - (a*(1 - a^2*x^2)^(1/2))/(c^3*x) - (29*a^3*(1 - a^2*x^2)^(1/2))/(48*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) + (c^3*(-a^2)^(1/2))/a)) + (673*a^3*(1 - a^2*x^2)^(1/2))/(240*(-a^2)^(1/2)*(c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a)) + (a^3*(1 - a^2*x^2)^(1/2))/(20*(-a^2)^(1/2)*(3*c^3*x*(-a^2)^(1/2) - (c^3*(-a^2)^(1/2))/a + a^2*c^3*x^3*(-a^2)^(1/2) - 3*a*c^3*x^2*(-a^2)^(1/2)))","B"
918,1,477,96,0.933411,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^4*(1 - a^2*x^2)^(1/2)),x)","\frac{7\,a\,\sqrt{1-a^2\,x^2}}{80\,\left(a^4\,c^4\,x^2-2\,a^3\,c^4\,x+a^2\,c^4\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{20\,\left(a^4\,c^4\,x^2+2\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{140\,\left(a^6\,c^4\,x^2-2\,a^5\,c^4\,x+a^4\,c^4\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{56\,\left(a^6\,c^4\,x^4-4\,a^5\,c^4\,x^3+6\,a^4\,c^4\,x^2-4\,a^3\,c^4\,x+a^2\,c^4\right)}+\frac{33\,\sqrt{1-a^2\,x^2}}{160\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{281\,\sqrt{1-a^2\,x^2}}{1120\,\sqrt{-a^2}\,\left(c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}\right)}+\frac{\sqrt{1-a^2\,x^2}}{80\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}+\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}+3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}+\frac{27\,\sqrt{1-a^2\,x^2}}{560\,\sqrt{-a^2}\,\left(3\,c^4\,x\,\sqrt{-a^2}-\frac{c^4\,\sqrt{-a^2}}{a}+a^2\,c^4\,x^3\,\sqrt{-a^2}-3\,a\,c^4\,x^2\,\sqrt{-a^2}\right)}","Not used",1,"(7*a*(1 - a^2*x^2)^(1/2))/(80*(a^2*c^4 - 2*a^3*c^4*x + a^4*c^4*x^2)) - (a*(1 - a^2*x^2)^(1/2))/(20*(a^2*c^4 + 2*a^3*c^4*x + a^4*c^4*x^2)) + (a^3*(1 - a^2*x^2)^(1/2))/(140*(a^4*c^4 - 2*a^5*c^4*x + a^6*c^4*x^2)) + (a*(1 - a^2*x^2)^(1/2))/(56*(a^2*c^4 - 4*a^3*c^4*x + 6*a^4*c^4*x^2 - 4*a^5*c^4*x^3 + a^6*c^4*x^4)) + (33*(1 - a^2*x^2)^(1/2))/(160*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a)) + (281*(1 - a^2*x^2)^(1/2))/(1120*(-a^2)^(1/2)*(c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a)) + (1 - a^2*x^2)^(1/2)/(80*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) + (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) + 3*a*c^4*x^2*(-a^2)^(1/2))) + (27*(1 - a^2*x^2)^(1/2))/(560*(-a^2)^(1/2)*(3*c^4*x*(-a^2)^(1/2) - (c^4*(-a^2)^(1/2))/a + a^2*c^4*x^3*(-a^2)^(1/2) - 3*a*c^4*x^2*(-a^2)^(1/2)))","B"
919,1,783,118,0.992430,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^5*(1 - a^2*x^2)^(1/2)),x)","\frac{751\,a\,\sqrt{1-a^2\,x^2}}{10080\,\left(a^4\,c^5\,x^2-2\,a^3\,c^5\,x+a^2\,c^5\right)}-\frac{19\,a\,\sqrt{1-a^2\,x^2}}{384\,\left(a^4\,c^5\,x^2+2\,a^3\,c^5\,x+a^2\,c^5\right)}+\frac{\sqrt{1-a^2\,x^2}}{144\,\sqrt{-a^2}\,\left(5\,c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}+10\,a^2\,c^5\,x^3\,\sqrt{-a^2}-5\,a^3\,c^5\,x^4\,\sqrt{-a^2}+a^4\,c^5\,x^5\,\sqrt{-a^2}-10\,a\,c^5\,x^2\,\sqrt{-a^2}\right)}+\frac{a^3\,\sqrt{1-a^2\,x^2}}{140\,\left(a^6\,c^5\,x^2-2\,a^5\,c^5\,x+a^4\,c^5\right)}-\frac{a^3\,\sqrt{1-a^2\,x^2}}{560\,\left(a^6\,c^5\,x^2+2\,a^5\,c^5\,x+a^4\,c^5\right)}+\frac{a\,\sqrt{1-a^2\,x^2}}{56\,\left(a^6\,c^5\,x^4-4\,a^5\,c^5\,x^3+6\,a^4\,c^5\,x^2-4\,a^3\,c^5\,x+a^2\,c^5\right)}-\frac{a\,\sqrt{1-a^2\,x^2}}{224\,\left(a^6\,c^5\,x^4+4\,a^5\,c^5\,x^3+6\,a^4\,c^5\,x^2+4\,a^3\,c^5\,x+a^2\,c^5\right)}+\frac{5053\,\sqrt{1-a^2\,x^2}}{26880\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}+\frac{c^5\,\sqrt{-a^2}}{a}\right)}+\frac{17609\,\sqrt{1-a^2\,x^2}}{80640\,\sqrt{-a^2}\,\left(c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}\right)}+\frac{41\,\sqrt{1-a^2\,x^2}}{2240\,\sqrt{-a^2}\,\left(3\,c^5\,x\,\sqrt{-a^2}+\frac{c^5\,\sqrt{-a^2}}{a}+a^2\,c^5\,x^3\,\sqrt{-a^2}+3\,a\,c^5\,x^2\,\sqrt{-a^2}\right)}+\frac{149\,\sqrt{1-a^2\,x^2}}{3360\,\sqrt{-a^2}\,\left(3\,c^5\,x\,\sqrt{-a^2}-\frac{c^5\,\sqrt{-a^2}}{a}+a^2\,c^5\,x^3\,\sqrt{-a^2}-3\,a\,c^5\,x^2\,\sqrt{-a^2}\right)}+\frac{a^2\,\sqrt{1-a^2\,x^2}}{252\,\left(a^7\,c^5\,x^4-4\,a^6\,c^5\,x^3+6\,a^5\,c^5\,x^2-4\,a^4\,c^5\,x+a^3\,c^5\right)}","Not used",1,"(751*a*(1 - a^2*x^2)^(1/2))/(10080*(a^2*c^5 - 2*a^3*c^5*x + a^4*c^5*x^2)) - (19*a*(1 - a^2*x^2)^(1/2))/(384*(a^2*c^5 + 2*a^3*c^5*x + a^4*c^5*x^2)) + (1 - a^2*x^2)^(1/2)/(144*(-a^2)^(1/2)*(5*c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a + 10*a^2*c^5*x^3*(-a^2)^(1/2) - 5*a^3*c^5*x^4*(-a^2)^(1/2) + a^4*c^5*x^5*(-a^2)^(1/2) - 10*a*c^5*x^2*(-a^2)^(1/2))) + (a^3*(1 - a^2*x^2)^(1/2))/(140*(a^4*c^5 - 2*a^5*c^5*x + a^6*c^5*x^2)) - (a^3*(1 - a^2*x^2)^(1/2))/(560*(a^4*c^5 + 2*a^5*c^5*x + a^6*c^5*x^2)) + (a*(1 - a^2*x^2)^(1/2))/(56*(a^2*c^5 - 4*a^3*c^5*x + 6*a^4*c^5*x^2 - 4*a^5*c^5*x^3 + a^6*c^5*x^4)) - (a*(1 - a^2*x^2)^(1/2))/(224*(a^2*c^5 + 4*a^3*c^5*x + 6*a^4*c^5*x^2 + 4*a^5*c^5*x^3 + a^6*c^5*x^4)) + (5053*(1 - a^2*x^2)^(1/2))/(26880*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) + (c^5*(-a^2)^(1/2))/a)) + (17609*(1 - a^2*x^2)^(1/2))/(80640*(-a^2)^(1/2)*(c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a)) + (41*(1 - a^2*x^2)^(1/2))/(2240*(-a^2)^(1/2)*(3*c^5*x*(-a^2)^(1/2) + (c^5*(-a^2)^(1/2))/a + a^2*c^5*x^3*(-a^2)^(1/2) + 3*a*c^5*x^2*(-a^2)^(1/2))) + (149*(1 - a^2*x^2)^(1/2))/(3360*(-a^2)^(1/2)*(3*c^5*x*(-a^2)^(1/2) - (c^5*(-a^2)^(1/2))/a + a^2*c^5*x^3*(-a^2)^(1/2) - 3*a*c^5*x^2*(-a^2)^(1/2))) + (a^2*(1 - a^2*x^2)^(1/2))/(252*(a^3*c^5 - 4*a^4*c^5*x + 6*a^5*c^5*x^2 - 4*a^6*c^5*x^3 + a^7*c^5*x^4))","B"
920,1,42,49,0.036935,"\text{Not used}","int(-(x^4*(a*x + 1))/(a^2*x^2 - 1),x)","-\frac{\ln\left(a\,x-1\right)}{a^5}-\frac{x}{a^4}-\frac{x^4}{4\,a}-\frac{x^3}{3\,a^2}-\frac{x^2}{2\,a^3}","Not used",1,"- log(a*x - 1)/a^5 - x/a^4 - x^4/(4*a) - x^3/(3*a^2) - x^2/(2*a^3)","B"
921,1,34,39,0.036911,"\text{Not used}","int(-(x^3*(a*x + 1))/(a^2*x^2 - 1),x)","-\frac{\ln\left(a\,x-1\right)}{a^4}-\frac{x}{a^3}-\frac{x^3}{3\,a}-\frac{x^2}{2\,a^2}","Not used",1,"- log(a*x - 1)/a^4 - x/a^3 - x^3/(3*a) - x^2/(2*a^2)","B"
922,1,23,29,0.871668,"\text{Not used}","int(-(x^2*(a*x + 1))/(a^2*x^2 - 1),x)","-\frac{\ln\left(a\,x-1\right)+a\,x+\frac{a^2\,x^2}{2}}{a^3}","Not used",1,"-(log(a*x - 1) + a*x + (a^2*x^2)/2)/a^3","B"
923,1,15,19,0.856505,"\text{Not used}","int(-(x*(a*x + 1))/(a^2*x^2 - 1),x)","-\frac{\ln\left(a\,x-1\right)+a\,x}{a^2}","Not used",1,"-(log(a*x - 1) + a*x)/a^2","B"
924,1,11,12,0.023009,"\text{Not used}","int(-(a*x + 1)/(a^2*x^2 - 1),x)","-\frac{\ln\left(a\,x-1\right)}{a}","Not used",1,"-log(a*x - 1)/a","B"
925,1,9,12,0.045279,"\text{Not used}","int(-(a*x + 1)/(x*(a^2*x^2 - 1)),x)","2\,\mathrm{atanh}\left(2\,a\,x-1\right)","Not used",1,"2*atanh(2*a*x - 1)","B"
926,1,16,20,0.868340,"\text{Not used}","int(-(a*x + 1)/(x^2*(a^2*x^2 - 1)),x)","2\,a\,\mathrm{atanh}\left(2\,a\,x-1\right)-\frac{1}{x}","Not used",1,"2*a*atanh(2*a*x - 1) - 1/x","B"
927,1,23,32,0.051849,"\text{Not used}","int(-(a*x + 1)/(x^3*(a^2*x^2 - 1)),x)","2\,a^2\,\mathrm{atanh}\left(2\,a\,x-1\right)-\frac{a\,x+\frac{1}{2}}{x^2}","Not used",1,"2*a^2*atanh(2*a*x - 1) - (a*x + 1/2)/x^2","B"
928,1,31,42,0.053604,"\text{Not used}","int(-(a*x + 1)/(x^4*(a^2*x^2 - 1)),x)","2\,a^3\,\mathrm{atanh}\left(2\,a\,x-1\right)-\frac{a^2\,x^2+\frac{a\,x}{2}+\frac{1}{3}}{x^3}","Not used",1,"2*a^3*atanh(2*a*x - 1) - ((a*x)/2 + a^2*x^2 + 1/3)/x^3","B"
929,1,54,58,0.911082,"\text{Not used}","int((x^4*(a*x + 1))/(a^2*x^2 - 1)^2,x)","\frac{7\,\ln\left(a\,x-1\right)}{4\,a^5}+\frac{\ln\left(a\,x+1\right)}{4\,a^5}-\frac{1}{2\,a\,\left(a^5\,x-a^4\right)}+\frac{x}{a^4}+\frac{x^2}{2\,a^3}","Not used",1,"(7*log(a*x - 1))/(4*a^5) + log(a*x + 1)/(4*a^5) - 1/(2*a*(a^5*x - a^4)) + x/a^4 + x^2/(2*a^3)","B"
930,1,46,48,0.065321,"\text{Not used}","int((x^3*(a*x + 1))/(a^2*x^2 - 1)^2,x)","\frac{5\,\ln\left(a\,x-1\right)}{4\,a^4}-\frac{\ln\left(a\,x+1\right)}{4\,a^4}-\frac{1}{2\,a\,\left(a^4\,x-a^3\right)}+\frac{x}{a^3}","Not used",1,"(5*log(a*x - 1))/(4*a^4) - log(a*x + 1)/(4*a^4) - 1/(2*a*(a^4*x - a^3)) + x/a^3","B"
931,1,39,43,0.949478,"\text{Not used}","int((x^2*(a*x + 1))/(a^2*x^2 - 1)^2,x)","\frac{3\,\ln\left(a\,x-1\right)}{4\,a^3}+\frac{\ln\left(a\,x+1\right)}{4\,a^3}-\frac{1}{2\,\left(a^4\,x-a^3\right)}","Not used",1,"(3*log(a*x - 1))/(4*a^3) + log(a*x + 1)/(4*a^3) - 1/(2*(a^4*x - a^3))","B"
932,1,22,27,0.049486,"\text{Not used}","int((x*(a*x + 1))/(a^2*x^2 - 1)^2,x)","-\frac{1}{2\,a^2\,\left(a\,x-1\right)}-\frac{\mathrm{atanh}\left(a\,x\right)}{2\,a^2}","Not used",1,"- 1/(2*a^2*(a*x - 1)) - atanh(a*x)/(2*a^2)","B"
933,1,22,27,0.915912,"\text{Not used}","int((a*x + 1)/(a^2*x^2 - 1)^2,x)","\frac{\mathrm{atanh}\left(a\,x\right)}{2\,a}-\frac{1}{2\,a\,\left(a\,x-1\right)}","Not used",1,"atanh(a*x)/(2*a) - 1/(2*a*(a*x - 1))","B"
934,1,30,36,0.052050,"\text{Not used}","int((a*x + 1)/(x*(a^2*x^2 - 1)^2),x)","\ln\left(x\right)-\frac{3\,\ln\left(1-a\,x\right)}{4}-\frac{\ln\left(a\,x+1\right)}{4}-\frac{1}{2\,\left(a\,x-1\right)}","Not used",1,"log(x) - (3*log(1 - a*x))/4 - log(a*x + 1)/4 - 1/(2*(a*x - 1))","B"
935,1,40,46,0.888432,"\text{Not used}","int((a*x + 1)/(x^2*(a^2*x^2 - 1)^2),x)","a\,\ln\left(x\right)-\frac{5\,a\,\ln\left(a\,x-1\right)}{4}+\frac{a\,\ln\left(a\,x+1\right)}{4}+\frac{\frac{3\,a\,x}{2}-1}{x-a\,x^2}","Not used",1,"a*log(x) - (5*a*log(a*x - 1))/4 + (a*log(a*x + 1))/4 + ((3*a*x)/2 - 1)/(x - a*x^2)","B"
936,1,58,63,0.905106,"\text{Not used}","int((a*x + 1)/(x^3*(a^2*x^2 - 1)^2),x)","2\,a^2\,\ln\left(x\right)-\frac{7\,a^2\,\ln\left(a\,x-1\right)}{4}-\frac{a^2\,\ln\left(a\,x+1\right)}{4}+\frac{-\frac{3\,a^2\,x^2}{2}+\frac{a\,x}{2}+\frac{1}{2}}{a\,x^3-x^2}","Not used",1,"2*a^2*log(x) - (7*a^2*log(a*x - 1))/4 - (a^2*log(a*x + 1))/4 + ((a*x)/2 - (3*a^2*x^2)/2 + 1/2)/(a*x^3 - x^2)","B"
937,1,66,73,0.913583,"\text{Not used}","int((a*x + 1)/(x^4*(a^2*x^2 - 1)^2),x)","2\,a^3\,\ln\left(x\right)-\frac{9\,a^3\,\ln\left(a\,x-1\right)}{4}+\frac{a^3\,\ln\left(a\,x+1\right)}{4}+\frac{-\frac{5\,a^3\,x^3}{2}+\frac{3\,a^2\,x^2}{2}+\frac{a\,x}{6}+\frac{1}{3}}{a\,x^4-x^3}","Not used",1,"2*a^3*log(x) - (9*a^3*log(a*x - 1))/4 + (a^3*log(a*x + 1))/4 + ((a*x)/6 + (3*a^2*x^2)/2 - (5*a^3*x^3)/2 + 1/3)/(a*x^4 - x^3)","B"
938,1,82,88,0.075765,"\text{Not used}","int(-(x^6*(a*x + 1))/(a^2*x^2 - 1)^3,x)","-\frac{39\,\ln\left(a\,x-1\right)}{16\,a^7}-\frac{9\,\ln\left(a\,x+1\right)}{16\,a^7}-\frac{x}{a^6}-\frac{\frac{3\,x}{8}+\frac{9\,a\,x^2}{8}-\frac{5}{4\,a}}{-a^9\,x^3+a^8\,x^2+a^7\,x-a^6}-\frac{x^2}{2\,a^5}","Not used",1,"- (39*log(a*x - 1))/(16*a^7) - (9*log(a*x + 1))/(16*a^7) - x/a^6 - ((3*x)/8 + (9*a*x^2)/8 - 5/(4*a))/(a^7*x - a^6 + a^8*x^2 - a^9*x^3) - x^2/(2*a^5)","B"
939,1,73,76,0.932416,"\text{Not used}","int(-(x^5*(a*x + 1))/(a^2*x^2 - 1)^3,x)","\frac{7\,\ln\left(a\,x+1\right)}{16\,a^6}-\frac{23\,\ln\left(a\,x-1\right)}{16\,a^6}-\frac{x}{a^5}+\frac{\frac{x}{8}-\frac{9\,a\,x^2}{8}+\frac{3}{4\,a}}{-a^8\,x^3+a^7\,x^2+a^6\,x-a^5}","Not used",1,"(7*log(a*x + 1))/(16*a^6) - (23*log(a*x - 1))/(16*a^6) - x/a^5 + (x/8 - (9*a*x^2)/8 + 3/(4*a))/(a^6*x - a^5 + a^7*x^2 - a^8*x^3)","B"
940,1,67,72,0.178394,"\text{Not used}","int(-(x^4*(a*x + 1))/(a^2*x^2 - 1)^3,x)","-\frac{11\,\ln\left(a\,x-1\right)}{16\,a^5}-\frac{5\,\ln\left(a\,x+1\right)}{16\,a^5}-\frac{\frac{3\,x}{8\,a^4}-\frac{3}{4\,a^5}+\frac{5\,x^2}{8\,a^3}}{-a^3\,x^3+a^2\,x^2+a\,x-1}","Not used",1,"- (11*log(a*x - 1))/(16*a^5) - (5*log(a*x + 1))/(16*a^5) - ((3*x)/(8*a^4) - 3/(4*a^5) + (5*x^2)/(8*a^3))/(a*x + a^2*x^2 - a^3*x^3 - 1)","B"
941,1,53,56,0.056737,"\text{Not used}","int(-(x^3*(a*x + 1))/(a^2*x^2 - 1)^3,x)","\frac{\frac{x}{8\,a^3}+\frac{1}{4\,a^4}-\frac{5\,x^2}{8\,a^2}}{-a^3\,x^3+a^2\,x^2+a\,x-1}+\frac{3\,\mathrm{atanh}\left(a\,x\right)}{8\,a^4}","Not used",1,"(x/(8*a^3) + 1/(4*a^4) - (5*x^2)/(8*a^2))/(a*x + a^2*x^2 - a^3*x^3 - 1) + (3*atanh(a*x))/(8*a^4)","B"
942,1,54,56,0.057179,"\text{Not used}","int(-(x^2*(a*x + 1))/(a^2*x^2 - 1)^3,x)","-\frac{\frac{3\,x}{8\,a^2}-\frac{1}{4\,a^3}+\frac{x^2}{8\,a}}{-a^3\,x^3+a^2\,x^2+a\,x-1}-\frac{\mathrm{atanh}\left(a\,x\right)}{8\,a^3}","Not used",1,"- ((3*x)/(8*a^2) - 1/(4*a^3) + x^2/(8*a))/(a*x + a^2*x^2 - a^3*x^3 - 1) - atanh(a*x)/(8*a^3)","B"
943,1,51,41,0.930855,"\text{Not used}","int(-(x*(a*x + 1))/(a^2*x^2 - 1)^3,x)","-\frac{\frac{1}{4\,a^2}-\frac{x}{8\,a}+\frac{x^2}{8}}{-a^3\,x^3+a^2\,x^2+a\,x-1}-\frac{\mathrm{atanh}\left(a\,x\right)}{8\,a^2}","Not used",1,"- (1/(4*a^2) - x/(8*a) + x^2/8)/(a*x + a^2*x^2 - a^3*x^3 - 1) - atanh(a*x)/(8*a^2)","B"
944,1,49,56,0.061375,"\text{Not used}","int(-(a*x + 1)/(a^2*x^2 - 1)^3,x)","\frac{3\,\mathrm{atanh}\left(a\,x\right)}{8\,a}-\frac{\frac{3\,x}{8}-\frac{3\,a\,x^2}{8}+\frac{1}{4\,a}}{-a^3\,x^3+a^2\,x^2+a\,x-1}","Not used",1,"(3*atanh(a*x))/(8*a) - ((3*x)/8 - (3*a*x^2)/8 + 1/(4*a))/(a*x + a^2*x^2 - a^3*x^3 - 1)","B"
945,1,57,59,0.070318,"\text{Not used}","int(-(a*x + 1)/(x*(a^2*x^2 - 1)^3),x)","\ln\left(x\right)-\frac{11\,\ln\left(1-a\,x\right)}{16}-\frac{5\,\ln\left(a\,x+1\right)}{16}+\frac{\frac{3\,a^2\,x^2}{8}+\frac{a\,x}{8}-\frac{3}{4}}{-a^3\,x^3+a^2\,x^2+a\,x-1}","Not used",1,"log(x) - (11*log(1 - a*x))/16 - (5*log(a*x + 1))/16 + ((a*x)/8 + (3*a^2*x^2)/8 - 3/4)/(a*x + a^2*x^2 - a^3*x^3 - 1)","B"
946,1,71,71,0.941252,"\text{Not used}","int(-(a*x + 1)/(x^2*(a^2*x^2 - 1)^3),x)","\frac{-\frac{15\,a^3\,x^3}{8}+\frac{11\,a^2\,x^2}{8}+\frac{7\,a\,x}{4}-1}{a^3\,x^4-a^2\,x^3-a\,x^2+x}+a\,\ln\left(x\right)-\frac{23\,a\,\ln\left(a\,x-1\right)}{16}+\frac{7\,a\,\ln\left(a\,x+1\right)}{16}","Not used",1,"((7*a*x)/4 + (11*a^2*x^2)/8 - (15*a^3*x^3)/8 - 1)/(x - a*x^2 - a^2*x^3 + a^3*x^4) + a*log(x) - (23*a*log(a*x - 1))/16 + (7*a*log(a*x + 1))/16","B"
947,1,89,89,0.962624,"\text{Not used}","int(-(a*x + 1)/(x^3*(a^2*x^2 - 1)^3),x)","3\,a^2\,\ln\left(x\right)-\frac{39\,a^2\,\ln\left(a\,x-1\right)}{16}-\frac{9\,a^2\,\ln\left(a\,x+1\right)}{16}+\frac{\frac{15\,a^4\,x^4}{8}-\frac{3\,a^3\,x^3}{8}-\frac{11\,a^2\,x^2}{4}+\frac{a\,x}{2}+\frac{1}{2}}{-a^3\,x^5+a^2\,x^4+a\,x^3-x^2}","Not used",1,"3*a^2*log(x) - (39*a^2*log(a*x - 1))/16 - (9*a^2*log(a*x + 1))/16 + ((a*x)/2 - (11*a^2*x^2)/4 - (3*a^3*x^3)/8 + (15*a^4*x^4)/8 + 1/2)/(a*x^3 - x^2 + a^2*x^4 - a^3*x^5)","B"
948,1,97,102,0.938807,"\text{Not used}","int(-(a*x + 1)/(x^4*(a^2*x^2 - 1)^3),x)","3\,a^3\,\ln\left(x\right)-\frac{59\,a^3\,\ln\left(a\,x-1\right)}{16}+\frac{11\,a^3\,\ln\left(a\,x+1\right)}{16}+\frac{\frac{35\,a^5\,x^5}{8}-\frac{23\,a^4\,x^4}{8}-\frac{53\,a^3\,x^3}{12}+\frac{13\,a^2\,x^2}{6}+\frac{a\,x}{6}+\frac{1}{3}}{-a^3\,x^6+a^2\,x^5+a\,x^4-x^3}","Not used",1,"3*a^3*log(x) - (59*a^3*log(a*x - 1))/16 + (11*a^3*log(a*x + 1))/16 + ((a*x)/6 + (13*a^2*x^2)/6 - (53*a^3*x^3)/12 - (23*a^4*x^4)/8 + (35*a^5*x^5)/8 + 1/3)/(a*x^4 - x^3 + a^2*x^5 - a^3*x^6)","B"
949,1,38,74,1.053499,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{a\,x^4}{4}+\frac{x^3}{3}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*((a*x^4)/4 + x^3/3))/(1 - a^2*x^2)^(1/2)","B"
950,1,38,74,0.980627,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{a\,x^3}{3}+\frac{x^2}{2}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*((a*x^3)/3 + x^2/2))/(1 - a^2*x^2)^(1/2)","B"
951,1,34,69,0.948691,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{a\,x^2}{2}+x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(x + (a*x^2)/2))/(1 - a^2*x^2)^(1/2)","B"
952,0,-1,65,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
953,0,-1,68,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)}{x^2\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)), x)","F"
954,1,55,89,1.055307,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(-\frac{c\,a^3\,x^4}{4}-\frac{c\,a^2\,x^3}{3}+\frac{c\,a\,x^2}{2}+c\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c*x - (a^2*c*x^3)/3 - (a^3*c*x^4)/4 + (a*c*x^2)/2))/(1 - a^2*x^2)^(1/2)","B"
955,1,85,136,1.051193,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{a^5\,c^2\,x^6}{6}+\frac{a^4\,c^2\,x^5}{5}-\frac{a^3\,c^2\,x^4}{2}-\frac{2\,a^2\,c^2\,x^3}{3}+\frac{a\,c^2\,x^2}{2}+c^2\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c^2*x + (a*c^2*x^2)/2 - (2*a^2*c^2*x^3)/3 - (a^3*c^2*x^4)/2 + (a^4*c^2*x^5)/5 + (a^5*c^2*x^6)/6))/(1 - a^2*x^2)^(1/2)","B"
956,1,107,183,1.058089,"\text{Not used}","int(((c - a^2*c*x^2)^(7/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(-\frac{a^7\,c^3\,x^8}{8}-\frac{a^6\,c^3\,x^7}{7}+\frac{a^5\,c^3\,x^6}{2}+\frac{3\,a^4\,c^3\,x^5}{5}-\frac{3\,a^3\,c^3\,x^4}{4}-a^2\,c^3\,x^3+\frac{a\,c^3\,x^2}{2}+c^3\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c^3*x + (a*c^3*x^2)/2 - a^2*c^3*x^3 - (3*a^3*c^3*x^4)/4 + (3*a^4*c^3*x^5)/5 + (a^5*c^3*x^6)/2 - (a^6*c^3*x^7)/7 - (a^7*c^3*x^8)/8))/(1 - a^2*x^2)^(1/2)","B"
957,0,-1,194,0.000000,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^4\,\left(a\,x+1\right)}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
958,0,-1,155,0.000000,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^3\,\left(a\,x+1\right)}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
959,0,-1,116,0.000000,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^2\,\left(a\,x+1\right)}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
960,0,-1,77,0.000000,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x\,\left(a\,x+1\right)}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
961,0,-1,41,0.000000,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
962,0,-1,71,0.000000,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
963,0,-1,107,0.000000,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^2\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
964,0,-1,148,0.000000,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^3\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
965,0,-1,187,0.000000,"\text{Not used}","int((a*x + 1)/(x^4*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^4\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^4*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
966,0,-1,261,0.000000,"\text{Not used}","int((x^5*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^5\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^5*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
967,0,-1,218,0.000000,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^4\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
968,0,-1,176,0.000000,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^3\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
969,0,-1,139,0.000000,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^2\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
970,0,-1,91,0.000000,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
971,0,-1,91,0.000000,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
972,0,-1,165,0.000000,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
973,0,-1,206,0.000000,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
974,0,-1,255,0.000000,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
975,0,-1,297,0.000000,"\text{Not used}","int((a*x + 1)/(x^4*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^4\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^4*(c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
976,0,-1,312,0.000000,"\text{Not used}","int((x^6*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^6\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^6*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
977,0,-1,268,0.000000,"\text{Not used}","int((x^5*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^5\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^5*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
978,0,-1,232,0.000000,"\text{Not used}","int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^4\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^4*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
979,0,-1,184,0.000000,"\text{Not used}","int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^3\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^3*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
980,0,-1,184,0.000000,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^2\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
981,0,-1,137,0.000000,"\text{Not used}","int((x*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
982,0,-1,184,0.000000,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
983,0,-1,252,0.000000,"\text{Not used}","int((a*x + 1)/(x*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
984,0,-1,295,0.000000,"\text{Not used}","int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^2*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
985,0,-1,345,0.000000,"\text{Not used}","int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/(x^3*(c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
986,0,-1,277,0.000000,"\text{Not used}","int((a*x + 1)/((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{a\,x+1}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((a*x + 1)/((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(1/2)), x)","F"
987,0,-1,80,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^2\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^2*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
988,0,-1,76,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,\left(c-a^2\,c\,x^2\right)\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
989,0,-1,80,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{\left(c-a^2\,c\,x^2\right)\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2)), x)","F"
990,0,-1,80,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^2\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2)), x)","F"
991,0,-1,80,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^3\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2)), x)","F"
992,1,374,82,1.163125,"\text{Not used}","int(x^m*(a^2*x^2 - 1)^2*(a*x + 1),x)","\frac{x\,x^m\,\left(m^5+20\,m^4+155\,m^3+580\,m^2+1044\,m+720\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a\,x^m\,x^2\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^5\,x^m\,x^6\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^4\,x^m\,x^5\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^3\,x^m\,x^4\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^2\,x^m\,x^3\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}","Not used",1,"(x*x^m*(1044*m + 580*m^2 + 155*m^3 + 20*m^4 + m^5 + 720))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a*x^m*x^2*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^5*x^m*x^6*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^4*x^m*x^5*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^3*x^m*x^4*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^2*x^m*x^3*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)","B"
993,1,160,54,1.001228,"\text{Not used}","int(-x^m*(a^2*x^2 - 1)*(a*x + 1),x)","x^m\,\left(\frac{x\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{a\,x^2\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^3\,x^4\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^2\,x^3\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)","Not used",1,"x^m*((x*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (a*x^2*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^3*x^4*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^2*x^3*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24))","B"
994,1,26,24,1.101445,"\text{Not used}","int(x^m*(a*x + 1),x)","\frac{x^{m+1}\,\left(m+a\,x+a\,m\,x+2\right)}{m^2+3\,m+2}","Not used",1,"(x^(m + 1)*(m + a*x + a*m*x + 2))/(3*m + m^2 + 2)","B"
995,0,-1,22,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1))/(a^2*x^2 - 1),x)","\int -\frac{x^m\,\left(a\,x+1\right)}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^m*(a*x + 1))/(a^2*x^2 - 1), x)","F"
996,0,-1,70,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/(a^2*x^2 - 1)^2,x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int((x^m*(a*x + 1))/(a^2*x^2 - 1)^2, x)","F"
997,0,-1,70,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1))/(a^2*x^2 - 1)^3,x)","\int -\frac{x^m\,\left(a\,x+1\right)}{{\left(a^2\,x^2-1\right)}^3} \,d x","Not used",1,"int(-(x^m*(a*x + 1))/(a^2*x^2 - 1)^3, x)","F"
998,1,468,274,1.619872,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(5/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{x^m\,\left(\frac{c^2\,x\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+20\,m^4+155\,m^3+580\,m^2+1044\,m+720\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a\,c^2\,x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+19\,m^4+137\,m^3+461\,m^2+702\,m+360\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^5\,c^2\,x^6\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}+\frac{a^4\,c^2\,x^5\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+16\,m^4+95\,m^3+260\,m^2+324\,m+144\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^3\,c^2\,x^4\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+17\,m^4+107\,m^3+307\,m^2+396\,m+180\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}-\frac{2\,a^2\,c^2\,x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(m^5+18\,m^4+121\,m^3+372\,m^2+508\,m+240\right)}{m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"(x^m*((c^2*x*(c - a^2*c*x^2)^(1/2)*(1044*m + 580*m^2 + 155*m^3 + 20*m^4 + m^5 + 720))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a*c^2*x^2*(c - a^2*c*x^2)^(1/2)*(702*m + 461*m^2 + 137*m^3 + 19*m^4 + m^5 + 360))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^5*c^2*x^6*(c - a^2*c*x^2)^(1/2)*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) + (a^4*c^2*x^5*(c - a^2*c*x^2)^(1/2)*(324*m + 260*m^2 + 95*m^3 + 16*m^4 + m^5 + 144))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^3*c^2*x^4*(c - a^2*c*x^2)^(1/2)*(396*m + 307*m^2 + 107*m^3 + 17*m^4 + m^5 + 180))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720) - (2*a^2*c^2*x^3*(c - a^2*c*x^2)^(1/2)*(508*m + 372*m^2 + 121*m^3 + 18*m^4 + m^5 + 240))/(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)))/(1 - a^2*x^2)^(1/2)","B"
999,1,228,174,1.255179,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(3/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{x^m\,\left(\frac{c\,x\,\sqrt{c-a^2\,c\,x^2}\,\left(m^3+9\,m^2+26\,m+24\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}+\frac{a\,c\,x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(m^3+8\,m^2+19\,m+12\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^3\,c\,x^4\,\sqrt{c-a^2\,c\,x^2}\,\left(m^3+6\,m^2+11\,m+6\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}-\frac{a^2\,c\,x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+10\,m^3+35\,m^2+50\,m+24}\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"(x^m*((c*x*(c - a^2*c*x^2)^(1/2)*(26*m + 9*m^2 + m^3 + 24))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) + (a*c*x^2*(c - a^2*c*x^2)^(1/2)*(19*m + 8*m^2 + m^3 + 12))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^3*c*x^4*(c - a^2*c*x^2)^(1/2)*(11*m + 6*m^2 + m^3 + 6))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24) - (a^2*c*x^3*(c - a^2*c*x^2)^(1/2)*(14*m + 7*m^2 + m^3 + 8))/(50*m + 35*m^2 + 10*m^3 + m^4 + 24)))/(1 - a^2*x^2)^(1/2)","B"
1000,1,51,82,1.070598,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\frac{x^{m+1}\,\sqrt{c-a^2\,c\,x^2}\,\left(m+a\,x+a\,m\,x+2\right)}{\sqrt{1-a^2\,x^2}\,\left(m^2+3\,m+2\right)}","Not used",1,"(x^(m + 1)*(c - a^2*c*x^2)^(1/2)*(m + a*x + a*m*x + 2))/((1 - a^2*x^2)^(1/2)*(3*m + m^2 + 2))","B"
1001,0,-1,51,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2)), x)","F"
1002,0,-1,134,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
1003,0,-1,134,0.000000,"\text{Not used}","int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^m\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(a*x + 1))/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2)), x)","F"
1004,0,-1,136,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1005,0,-1,85,0.000000,"\text{Not used}","int((x^3*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^3\,{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^3*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1006,0,-1,84,0.000000,"\text{Not used}","int((x^2*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^2\,{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1007,0,-1,58,0.000000,"\text{Not used}","int((x*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x\,{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1008,0,-1,59,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1009,0,-1,72,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
1010,0,-1,75,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{x^2\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)), x)","F"
1011,0,-1,78,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\left(a\,x+1\right)}{x^3\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)), x)","F"
1012,0,-1,134,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^3\,{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1013,0,-1,133,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x^2\,{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1014,0,-1,96,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{x\,{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1015,0,-1,86,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1))/(1 - a^2*x^2)^(1/2), x)","F"
1016,0,-1,110,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{x\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1))/(x*(1 - a^2*x^2)^(1/2)), x)","F"
1017,0,-1,113,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{x^2\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1))/(x^2*(1 - a^2*x^2)^(1/2)), x)","F"
1018,0,-1,116,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a\,x+1\right)}{x^3\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1))/(x^3*(1 - a^2*x^2)^(1/2)), x)","F"
1019,1,20,29,0.894197,"\text{Not used}","int(-(x^4*(c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c\,x^5\,\left(15\,a^2\,x^2+35\,a\,x+21\right)}{105}","Not used",1,"(c*x^5*(35*a*x + 15*a^2*x^2 + 21))/105","B"
1020,1,20,29,0.036245,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c\,x^4\,\left(10\,a^2\,x^2+24\,a\,x+15\right)}{60}","Not used",1,"(c*x^4*(24*a*x + 10*a^2*x^2 + 15))/60","B"
1021,1,20,29,0.035613,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c\,x^3\,\left(6\,a^2\,x^2+15\,a\,x+10\right)}{30}","Not used",1,"(c*x^3*(15*a*x + 6*a^2*x^2 + 10))/30","B"
1022,1,20,29,0.034364,"\text{Not used}","int(-(x*(c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c\,x^2\,\left(3\,a^2\,x^2+8\,a\,x+6\right)}{12}","Not used",1,"(c*x^2*(8*a*x + 3*a^2*x^2 + 6))/12","B"
1023,1,17,15,0.030522,"\text{Not used}","int(-((c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 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"
1024,1,19,21,0.035493,"\text{Not used}","int(-((c - a^2*c*x^2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","\frac{c\,\left(2\,\ln\left(x\right)+4\,a\,x+a^2\,x^2\right)}{2}","Not used",1,"(c*(2*log(x) + 4*a*x + a^2*x^2))/2","B"
1025,1,20,19,0.886459,"\text{Not used}","int(-((c - a^2*c*x^2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","\frac{c\,\left(a^2\,x^2+2\,a\,x\,\ln\left(x\right)-1\right)}{x}","Not used",1,"(c*(a^2*x^2 + 2*a*x*log(x) - 1))/x","B"
1026,1,22,23,0.050043,"\text{Not used}","int(-((c - a^2*c*x^2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","a^2\,c\,\ln\left(x\right)-\frac{\frac{c}{2}+2\,a\,c\,x}{x^2}","Not used",1,"a^2*c*log(x) - (c/2 + 2*a*c*x)/x^2","B"
1027,1,21,15,0.042280,"\text{Not used}","int(-((c - a^2*c*x^2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","-\frac{c\,a^2\,x^2+c\,a\,x+\frac{c}{3}}{x^3}","Not used",1,"-(c/3 + a^2*c*x^2 + a*c*x)/x^3","B"
1028,1,40,48,0.060820,"\text{Not used}","int(-(x^4*(c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 1),x)","-\frac{a^4\,c^2\,x^9}{9}-\frac{a^3\,c^2\,x^8}{4}+\frac{a\,c^2\,x^6}{3}+\frac{c^2\,x^5}{5}","Not used",1,"(c^2*x^5)/5 + (a*c^2*x^6)/3 - (a^3*c^2*x^8)/4 - (a^4*c^2*x^9)/9","B"
1029,1,40,48,0.052551,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 1),x)","-\frac{a^4\,c^2\,x^8}{8}-\frac{2\,a^3\,c^2\,x^7}{7}+\frac{2\,a\,c^2\,x^5}{5}+\frac{c^2\,x^4}{4}","Not used",1,"(c^2*x^4)/4 + (2*a*c^2*x^5)/5 - (2*a^3*c^2*x^7)/7 - (a^4*c^2*x^8)/8","B"
1030,1,40,48,0.048432,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 1),x)","-\frac{a^4\,c^2\,x^7}{7}-\frac{a^3\,c^2\,x^6}{3}+\frac{a\,c^2\,x^4}{2}+\frac{c^2\,x^3}{3}","Not used",1,"(c^2*x^3)/3 + (a*c^2*x^4)/2 - (a^3*c^2*x^6)/3 - (a^4*c^2*x^7)/7","B"
1031,1,40,48,0.049829,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 1),x)","-\frac{a^4\,c^2\,x^6}{6}-\frac{2\,a^3\,c^2\,x^5}{5}+\frac{2\,a\,c^2\,x^3}{3}+\frac{c^2\,x^2}{2}","Not used",1,"(c^2*x^2)/2 + (2*a*c^2*x^3)/3 - (2*a^3*c^2*x^5)/5 - (a^4*c^2*x^6)/6","B"
1032,1,36,35,0.049509,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 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,"c^2*x + a*c^2*x^2 - (a^3*c^2*x^4)/2 - (a^4*c^2*x^5)/5","B"
1033,1,36,40,0.042025,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","c^2\,\ln\left(x\right)-\frac{2\,a^3\,c^2\,x^3}{3}-\frac{a^4\,c^2\,x^4}{4}+2\,a\,c^2\,x","Not used",1,"c^2*log(x) - (2*a^3*c^2*x^3)/3 - (a^4*c^2*x^4)/4 + 2*a*c^2*x","B"
1034,1,39,41,0.042260,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","2\,a\,c^2\,\ln\left(x\right)-\frac{c^2}{x}-a^3\,c^2\,x^2-\frac{a^4\,c^2\,x^3}{3}","Not used",1,"2*a*c^2*log(x) - c^2/x - a^3*c^2*x^2 - (a^4*c^2*x^3)/3","B"
1035,1,29,17,0.043637,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","-\frac{c^2\,\left(a^4\,x^4+4\,a^3\,x^3+4\,a\,x+1\right)}{2\,x^2}","Not used",1,"-(c^2*(4*a*x + 4*a^3*x^3 + a^4*x^4 + 1))/(2*x^2)","B"
1036,1,32,39,0.044364,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x^4*(a^2*x^2 - 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\,x^3}","Not used",1,"-(c^2*(3*a*x + 3*a^4*x^4 + 6*a^3*x^3*log(x) + 1))/(3*x^3)","B"
1037,1,32,43,0.052976,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","-\frac{c^2\,\left(8\,a\,x-24\,a^3\,x^3+12\,a^4\,x^4\,\ln\left(x\right)+3\right)}{12\,x^4}","Not used",1,"-(c^2*(8*a*x - 24*a^3*x^3 + 12*a^4*x^4*log(x) + 3))/(12*x^4)","B"
1038,1,40,42,0.036390,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a*x + 1)^2)/(x^6*(a^2*x^2 - 1)),x)","-\frac{-a^4\,c^2\,x^4-a^3\,c^2\,x^3+\frac{a\,c^2\,x}{2}+\frac{c^2}{5}}{x^5}","Not used",1,"-(c^2/5 - a^3*c^2*x^3 - a^4*c^2*x^4 + (a*c^2*x)/2)/x^5","B"
1039,1,73,87,0.893609,"\text{Not used}","int(-(x^4*(c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{a^6\,c^3\,x^{11}}{11}+\frac{a^5\,c^3\,x^{10}}{5}-\frac{a^4\,c^3\,x^9}{9}-\frac{a^3\,c^3\,x^8}{2}-\frac{a^2\,c^3\,x^7}{7}+\frac{a\,c^3\,x^6}{3}+\frac{c^3\,x^5}{5}","Not used",1,"(c^3*x^5)/5 + (a*c^3*x^6)/3 - (a^2*c^3*x^7)/7 - (a^3*c^3*x^8)/2 - (a^4*c^3*x^9)/9 + (a^5*c^3*x^10)/5 + (a^6*c^3*x^11)/11","B"
1040,1,73,87,0.034185,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{a^6\,c^3\,x^{10}}{10}+\frac{2\,a^5\,c^3\,x^9}{9}-\frac{a^4\,c^3\,x^8}{8}-\frac{4\,a^3\,c^3\,x^7}{7}-\frac{a^2\,c^3\,x^6}{6}+\frac{2\,a\,c^3\,x^5}{5}+\frac{c^3\,x^4}{4}","Not used",1,"(c^3*x^4)/4 + (2*a*c^3*x^5)/5 - (a^2*c^3*x^6)/6 - (4*a^3*c^3*x^7)/7 - (a^4*c^3*x^8)/8 + (2*a^5*c^3*x^9)/9 + (a^6*c^3*x^10)/10","B"
1041,1,73,84,0.034447,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{a^6\,c^3\,x^9}{9}+\frac{a^5\,c^3\,x^8}{4}-\frac{a^4\,c^3\,x^7}{7}-\frac{2\,a^3\,c^3\,x^6}{3}-\frac{a^2\,c^3\,x^5}{5}+\frac{a\,c^3\,x^4}{2}+\frac{c^3\,x^3}{3}","Not used",1,"(c^3*x^3)/3 + (a*c^3*x^4)/2 - (a^2*c^3*x^5)/5 - (2*a^3*c^3*x^6)/3 - (a^4*c^3*x^7)/7 + (a^5*c^3*x^8)/4 + (a^6*c^3*x^9)/9","B"
1042,1,73,69,0.033853,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{a^6\,c^3\,x^8}{8}+\frac{2\,a^5\,c^3\,x^7}{7}-\frac{a^4\,c^3\,x^6}{6}-\frac{4\,a^3\,c^3\,x^5}{5}-\frac{a^2\,c^3\,x^4}{4}+\frac{2\,a\,c^3\,x^3}{3}+\frac{c^3\,x^2}{2}","Not used",1,"(c^3*x^2)/2 + (2*a*c^3*x^3)/3 - (a^2*c^3*x^4)/4 - (4*a^3*c^3*x^5)/5 - (a^4*c^3*x^6)/6 + (2*a^5*c^3*x^7)/7 + (a^6*c^3*x^8)/8","B"
1043,1,69,52,0.035361,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 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,"c^3*x + a*c^3*x^2 - (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"
1044,1,69,79,0.041063,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","c^3\,\ln\left(x\right)-\frac{a^2\,c^3\,x^2}{2}-\frac{4\,a^3\,c^3\,x^3}{3}-\frac{a^4\,c^3\,x^4}{4}+\frac{2\,a^5\,c^3\,x^5}{5}+\frac{a^6\,c^3\,x^6}{6}+2\,a\,c^3\,x","Not used",1,"c^3*log(x) - (a^2*c^3*x^2)/2 - (4*a^3*c^3*x^3)/3 - (a^4*c^3*x^4)/4 + (2*a^5*c^3*x^5)/5 + (a^6*c^3*x^6)/6 + 2*a*c^3*x","B"
1045,1,70,76,0.043188,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","2\,a\,c^3\,\ln\left(x\right)-a^2\,c^3\,x-\frac{c^3}{x}-2\,a^3\,c^3\,x^2-\frac{a^4\,c^3\,x^3}{3}+\frac{a^5\,c^3\,x^4}{2}+\frac{a^6\,c^3\,x^5}{5}","Not used",1,"2*a*c^3*log(x) - a^2*c^3*x - c^3/x - 2*a^3*c^3*x^2 - (a^4*c^3*x^3)/3 + (a^5*c^3*x^4)/2 + (a^6*c^3*x^5)/5","B"
1046,1,71,78,0.040077,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","\frac{2\,a^5\,c^3\,x^3}{3}-4\,a^3\,c^3\,x-\frac{a^4\,c^3\,x^2}{2}-\frac{\frac{c^3}{2}+2\,a\,c^3\,x}{x^2}+\frac{a^6\,c^3\,x^4}{4}-a^2\,c^3\,\ln\left(x\right)","Not used",1,"(2*a^5*c^3*x^3)/3 - 4*a^3*c^3*x - (a^4*c^3*x^2)/2 - (c^3/2 + 2*a*c^3*x)/x^2 + (a^6*c^3*x^4)/4 - a^2*c^3*log(x)","B"
1047,1,69,72,0.035314,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","a^5\,c^3\,x^2-a^4\,c^3\,x-\frac{-a^2\,c^3\,x^2+a\,c^3\,x+\frac{c^3}{3}}{x^3}+\frac{a^6\,c^3\,x^3}{3}-4\,a^3\,c^3\,\ln\left(x\right)","Not used",1,"a^5*c^3*x^2 - a^4*c^3*x - (c^3/3 - a^2*c^3*x^2 + a*c^3*x)/x^3 + (a^6*c^3*x^3)/3 - 4*a^3*c^3*log(x)","B"
1048,1,79,69,0.038845,"\text{Not used}","int(-((c - a^2*c*x^2)^4*(a*x + 1)^2)/(a^2*x^2 - 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,"c^4*x + a*c^4*x^2 - (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"
1049,1,64,63,0.049764,"\text{Not used}","int(-(x^4*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{1}{a\,\left(a^4\,c-a^5\,c\,x\right)}+\frac{3\,x}{a^4\,c}+\frac{x^3}{3\,a^2\,c}+\frac{x^2}{a^3\,c}+\frac{4\,\ln\left(a\,x-1\right)}{a^5\,c}","Not used",1,"1/(a*(a^4*c - a^5*c*x)) + (3*x)/(a^4*c) + x^3/(3*a^2*c) + x^2/(a^3*c) + (4*log(a*x - 1))/(a^5*c)","B"
1050,1,54,53,0.891479,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{1}{a\,\left(a^3\,c-a^4\,c\,x\right)}+\frac{2\,x}{a^3\,c}+\frac{x^2}{2\,a^2\,c}+\frac{3\,\ln\left(a\,x-1\right)}{a^4\,c}","Not used",1,"1/(a*(a^3*c - a^4*c*x)) + (2*x)/(a^3*c) + x^2/(2*a^2*c) + (3*log(a*x - 1))/(a^4*c)","B"
1051,1,38,39,0.049771,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{1}{a^3\,c-a^4\,c\,x}+\frac{x}{a^2\,c}+\frac{2\,\ln\left(a\,x-1\right)}{a^3\,c}","Not used",1,"1/(a^3*c - a^4*c*x) + x/(a^2*c) + (2*log(a*x - 1))/(a^3*c)","B"
1052,1,27,30,0.042164,"\text{Not used}","int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{1}{a^2\,\left(c-a\,c\,x\right)}+\frac{\ln\left(a\,x-1\right)}{a^2\,c}","Not used",1,"1/(a^2*(c - a*c*x)) + log(a*x - 1)/(a^2*c)","B"
1053,1,13,15,0.892110,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{1}{a\,\left(c-a\,c\,x\right)}","Not used",1,"1/(a*(c - a*c*x))","B"
1054,1,22,31,0.906492,"\text{Not used}","int(-(a*x + 1)^2/(x*(c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{2\,\mathrm{atanh}\left(2\,a\,x-1\right)}{c}+\frac{1}{c-a\,c\,x}","Not used",1,"(2*atanh(2*a*x - 1))/c + 1/(c - a*c*x)","B"
1055,1,34,43,0.068032,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{2\,a\,x-1}{c\,x-a\,c\,x^2}+\frac{4\,a\,\mathrm{atanh}\left(2\,a\,x-1\right)}{c}","Not used",1,"(2*a*x - 1)/(c*x - a*c*x^2) + (4*a*atanh(2*a*x - 1))/c","B"
1056,1,47,60,0.075573,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{6\,a^2\,\mathrm{atanh}\left(2\,a\,x-1\right)}{c}-\frac{-3\,a^2\,x^2+\frac{3\,a\,x}{2}+\frac{1}{2}}{c\,x^2-a\,c\,x^3}","Not used",1,"(6*a^2*atanh(2*a*x - 1))/c - ((3*a*x)/2 - 3*a^2*x^2 + 1/2)/(c*x^2 - a*c*x^3)","B"
1057,1,55,71,0.929900,"\text{Not used}","int(-(a*x + 1)^2/(x^4*(c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","\frac{8\,a^3\,\mathrm{atanh}\left(2\,a\,x-1\right)}{c}-\frac{-4\,a^3\,x^3+2\,a^2\,x^2+\frac{2\,a\,x}{3}+\frac{1}{3}}{c\,x^3-a\,c\,x^4}","Not used",1,"(8*a^3*atanh(2*a*x - 1))/c - ((2*a*x)/3 + 2*a^2*x^2 - 4*a^3*x^3 + 1/3)/(c*x^3 - a*c*x^4)","B"
1058,1,77,79,0.099715,"\text{Not used}","int(-(x^4*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{\frac{7\,x}{4}-\frac{3}{2\,a}}{a^6\,c^2\,x^2-2\,a^5\,c^2\,x+a^4\,c^2}-\frac{x}{a^4\,c^2}-\frac{17\,\ln\left(a\,x-1\right)}{8\,a^5\,c^2}+\frac{\ln\left(a\,x+1\right)}{8\,a^5\,c^2}","Not used",1,"((7*x)/4 - 3/(2*a))/(a^4*c^2 - 2*a^5*c^2*x + a^6*c^2*x^2) - x/(a^4*c^2) - (17*log(a*x - 1))/(8*a^5*c^2) + log(a*x + 1)/(8*a^5*c^2)","B"
1059,1,65,70,0.208100,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{\frac{5\,x}{4\,a^3}-\frac{1}{a^4}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}-\frac{7\,\ln\left(a\,x-1\right)}{8\,a^4\,c^2}-\frac{\ln\left(a\,x+1\right)}{8\,a^4\,c^2}","Not used",1,"((5*x)/(4*a^3) - 1/a^4)/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) - (7*log(a*x - 1))/(8*a^4*c^2) - log(a*x + 1)/(8*a^4*c^2)","B"
1060,1,49,51,0.068058,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{\frac{3\,x}{4\,a^2}-\frac{1}{2\,a^3}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}+\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a^3\,c^2}","Not used",1,"((3*x)/(4*a^2) - 1/(2*a^3))/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x) + atanh(a*x)/(4*a^3*c^2)","B"
1061,1,42,51,0.923097,"\text{Not used}","int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{x}{4\,a\,\left(a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2\right)}-\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a^2\,c^2}","Not used",1,"x/(4*a*(c^2 + a^2*c^2*x^2 - 2*a*c^2*x)) - atanh(a*x)/(4*a^2*c^2)","B"
1062,1,47,51,0.061836,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^2}-\frac{\frac{x}{4}-\frac{1}{2\,a}}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}","Not used",1,"atanh(a*x)/(4*a*c^2) - (x/4 - 1/(2*a))/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x)","B"
1063,1,60,64,0.960904,"\text{Not used}","int(-(a*x + 1)^2/(x*(c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{\ln\left(x\right)}{c^2}-\frac{7\,\ln\left(a\,x-1\right)}{8\,c^2}-\frac{\ln\left(a\,x+1\right)}{8\,c^2}-\frac{\frac{3\,a\,x}{4}-1}{a^2\,c^2\,x^2-2\,a\,c^2\,x+c^2}","Not used",1,"log(x)/c^2 - (7*log(a*x - 1))/(8*c^2) - log(a*x + 1)/(8*c^2) - ((3*a*x)/4 - 1)/(c^2 + a^2*c^2*x^2 - 2*a*c^2*x)","B"
1064,1,76,78,0.111083,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{2\,a\,\ln\left(x\right)}{c^2}-\frac{\frac{9\,a^2\,x^2}{4}-\frac{7\,a\,x}{2}+1}{a^2\,c^2\,x^3-2\,a\,c^2\,x^2+c^2\,x}-\frac{17\,a\,\ln\left(a\,x-1\right)}{8\,c^2}+\frac{a\,\ln\left(a\,x+1\right)}{8\,c^2}","Not used",1,"(2*a*log(x))/c^2 - ((9*a^2*x^2)/4 - (7*a*x)/2 + 1)/(c^2*x - 2*a*c^2*x^2 + a^2*c^2*x^3) - (17*a*log(a*x - 1))/(8*c^2) + (a*log(a*x + 1))/(8*c^2)","B"
1065,1,91,99,0.115525,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{4\,a^2\,\ln\left(x\right)}{c^2}-\frac{\frac{15\,a^3\,x^3}{4}-\frac{11\,a^2\,x^2}{2}+a\,x+\frac{1}{2}}{a^2\,c^2\,x^4-2\,a\,c^2\,x^3+c^2\,x^2}-\frac{31\,a^2\,\ln\left(a\,x-1\right)}{8\,c^2}-\frac{a^2\,\ln\left(a\,x+1\right)}{8\,c^2}","Not used",1,"(4*a^2*log(x))/c^2 - (a*x - (11*a^2*x^2)/2 + (15*a^3*x^3)/4 + 1/2)/(c^2*x^2 - 2*a*c^2*x^3 + a^2*c^2*x^4) - (31*a^2*log(a*x - 1))/(8*c^2) - (a^2*log(a*x + 1))/(8*c^2)","B"
1066,1,100,110,0.985386,"\text{Not used}","int(-(a*x + 1)^2/(x^4*(c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","\frac{6\,a^3\,\ln\left(x\right)}{c^2}-\frac{\frac{25\,a^4\,x^4}{4}-\frac{19\,a^3\,x^3}{2}+\frac{7\,a^2\,x^2}{3}+\frac{a\,x}{3}+\frac{1}{3}}{a^2\,c^2\,x^5-2\,a\,c^2\,x^4+c^2\,x^3}-\frac{49\,a^3\,\ln\left(a\,x-1\right)}{8\,c^2}+\frac{a^3\,\ln\left(a\,x+1\right)}{8\,c^2}","Not used",1,"(6*a^3*log(x))/c^2 - ((a*x)/3 + (7*a^2*x^2)/3 - (19*a^3*x^3)/2 + (25*a^4*x^4)/4 + 1/3)/(c^2*x^3 - 2*a*c^2*x^4 + a^2*c^2*x^5) - (49*a^3*log(a*x - 1))/(8*c^2) + (a^3*log(a*x + 1))/(8*c^2)","B"
1067,1,94,105,0.326505,"\text{Not used}","int(-(x^5*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","\frac{13\,\ln\left(a\,x-1\right)}{16\,a^6\,c^3}-\frac{\frac{37\,x}{24\,a^5}-\frac{13}{12\,a^6}-\frac{11\,x^3}{8\,a^3}+\frac{3\,x^2}{4\,a^4}}{-a^4\,c^3\,x^4+2\,a^3\,c^3\,x^3-2\,a\,c^3\,x+c^3}+\frac{3\,\ln\left(a\,x+1\right)}{16\,a^6\,c^3}","Not used",1,"(13*log(a*x - 1))/(16*a^6*c^3) - ((37*x)/(24*a^5) - 13/(12*a^6) - (11*x^3)/(8*a^3) + (3*x^2)/(4*a^4))/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x) + (3*log(a*x + 1))/(16*a^6*c^3)","B"
1068,1,78,86,0.073764,"\text{Not used}","int(-(x^4*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","-\frac{\frac{5\,x}{12\,a^4}-\frac{1}{3\,a^5}-\frac{3\,x^3}{4\,a^2}+\frac{x^2}{2\,a^3}}{-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^5\,c^3}","Not used",1,"- ((5*x)/(12*a^4) - 1/(3*a^5) - (3*x^3)/(4*a^2) + x^2/(2*a^3))/(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^5*c^3)","B"
1069,1,77,86,0.927857,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","\frac{\frac{1}{12\,a^4}-\frac{7\,x}{24\,a^3}+\frac{x^3}{8\,a}+\frac{x^2}{4\,a^2}}{-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)}{8\,a^4\,c^3}","Not used",1,"(1/(12*a^4) - (7*x)/(24*a^3) + x^3/(8*a) + x^2/(4*a^2))/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x) + atanh(a*x)/(8*a^4*c^3)","B"
1070,1,28,31,0.072930,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","-\frac{2\,a\,x-1}{6\,a^3\,c^3\,{\left(a\,x-1\right)}^3\,\left(a\,x+1\right)}","Not used",1,"-(2*a*x - 1)/(6*a^3*c^3*(a*x - 1)^3*(a*x + 1))","B"
1071,1,73,68,0.916730,"\text{Not used}","int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","-\frac{\frac{x}{24\,a}+\frac{a\,x^3}{8}-\frac{1}{12\,a^2}-\frac{x^2}{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)}{8\,a^2\,c^3}","Not used",1,"- (x/(24*a) + (a*x^3)/8 - 1/(12*a^2) - x^2/4)/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x) - atanh(a*x)/(8*a^2*c^3)","B"
1072,1,72,86,0.071102,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^3*(a^2*x^2 - 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"
1073,1,88,93,0.953505,"\text{Not used}","int(-(a*x + 1)^2/(x*(c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","\frac{\ln\left(x\right)}{c^3}-\frac{13\,\ln\left(a\,x-1\right)}{16\,c^3}-\frac{3\,\ln\left(a\,x+1\right)}{16\,c^3}-\frac{-\frac{5\,a^3\,x^3}{8}+\frac{3\,a^2\,x^2}{4}+\frac{19\,a\,x}{24}-\frac{13}{12}}{-a^4\,c^3\,x^4+2\,a^3\,c^3\,x^3-2\,a\,c^3\,x+c^3}","Not used",1,"log(x)/c^3 - (13*log(a*x - 1))/(16*c^3) - (3*log(a*x + 1))/(16*c^3) - ((19*a*x)/24 + (3*a^2*x^2)/4 - (5*a^3*x^3)/8 - 13/12)/(c^3 + 2*a^3*c^3*x^3 - a^4*c^3*x^4 - 2*a*c^3*x)","B"
1074,1,104,109,0.991735,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","\frac{2\,a\,\ln\left(x\right)}{c^3}-\frac{-\frac{5\,a^4\,x^4}{2}+4\,a^3\,x^3+\frac{7\,a^2\,x^2}{6}-\frac{23\,a\,x}{6}+1}{-a^4\,c^3\,x^5+2\,a^3\,c^3\,x^4-2\,a\,c^3\,x^2+c^3\,x}-\frac{9\,a\,\ln\left(a\,x-1\right)}{4\,c^3}+\frac{a\,\ln\left(a\,x+1\right)}{4\,c^3}","Not used",1,"(2*a*log(x))/c^3 - ((7*a^2*x^2)/6 - (23*a*x)/6 + 4*a^3*x^3 - (5*a^4*x^4)/2 + 1)/(c^3*x - 2*a*c^3*x^2 + 2*a^3*c^3*x^4 - a^4*c^3*x^5) - (9*a*log(a*x - 1))/(4*c^3) + (a*log(a*x + 1))/(4*c^3)","B"
1075,1,119,134,1.014961,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","\frac{5\,a^2\,\ln\left(x\right)}{c^3}-\frac{-\frac{35\,a^5\,x^5}{8}+\frac{25\,a^4\,x^4}{4}+\frac{85\,a^3\,x^3}{24}-\frac{85\,a^2\,x^2}{12}+a\,x+\frac{1}{2}}{-a^4\,c^3\,x^6+2\,a^3\,c^3\,x^5-2\,a\,c^3\,x^3+c^3\,x^2}-\frac{75\,a^2\,\ln\left(a\,x-1\right)}{16\,c^3}-\frac{5\,a^2\,\ln\left(a\,x+1\right)}{16\,c^3}","Not used",1,"(5*a^2*log(x))/c^3 - (a*x - (85*a^2*x^2)/12 + (85*a^3*x^3)/24 + (25*a^4*x^4)/4 - (35*a^5*x^5)/8 + 1/2)/(c^3*x^2 - 2*a*c^3*x^3 + 2*a^3*c^3*x^5 - a^4*c^3*x^6) - (75*a^2*log(a*x - 1))/(16*c^3) - (5*a^2*log(a*x + 1))/(16*c^3)","B"
1076,1,122,121,0.137184,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^4*(a^2*x^2 - 1)),x)","\frac{15\,\mathrm{atanh}\left(a\,x\right)}{64\,a\,c^4}-\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}","Not used",1,"(15*atanh(a*x))/(64*a*c^4) - ((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)","B"
1077,0,-1,137,0.000000,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1078,0,-1,112,0.000000,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1079,0,-1,84,0.000000,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1080,0,-1,86,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1081,0,-1,78,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{x\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)), x)","F"
1082,0,-1,82,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{x^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)), x)","F"
1083,0,-1,78,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{x^3\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)), x)","F"
1084,0,-1,101,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{x^4\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)), x)","F"
1085,0,-1,130,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{x^5\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)), x)","F"
1086,0,-1,161,0.000000,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^3\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^3*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1087,0,-1,136,0.000000,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^2\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^2*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1088,0,-1,111,0.000000,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1089,0,-1,107,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1090,0,-1,101,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)), x)","F"
1091,0,-1,112,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)), x)","F"
1092,0,-1,121,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^3\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)), x)","F"
1093,0,-1,115,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^4\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)), x)","F"
1094,0,-1,106,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^5\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)), x)","F"
1095,0,-1,131,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^6*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^6\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^6*(a^2*x^2 - 1)), x)","F"
1096,0,-1,156,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^7*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^7\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^7*(a^2*x^2 - 1)), x)","F"
1097,0,-1,181,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^8*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{x^8\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(x^8*(a^2*x^2 - 1)), x)","F"
1098,0,-1,187,0.000000,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^3\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^3*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1099,0,-1,162,0.000000,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^2\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^2*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1100,0,-1,137,0.000000,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1101,0,-1,130,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1102,0,-1,136,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{x\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x*(a^2*x^2 - 1)), x)","F"
1103,0,-1,141,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{x^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^2*(a^2*x^2 - 1)), x)","F"
1104,0,-1,151,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{x^3\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^3*(a^2*x^2 - 1)), x)","F"
1105,0,-1,155,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{x^4\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^4*(a^2*x^2 - 1)), x)","F"
1106,0,-1,155,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)),x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{x^5\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(x^5*(a^2*x^2 - 1)), x)","F"
1107,0,-1,153,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - a^2*c*x^2)^(7/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1108,0,-1,137,0.000000,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^3\,{\left(a\,x+1\right)}^2}{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1109,0,-1,93,0.000000,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^2\,{\left(a\,x+1\right)}^2}{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1110,0,-1,84,0.000000,"\text{Not used}","int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{x\,{\left(a\,x+1\right)}^2}{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1111,0,-1,60,0.000000,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{{\left(a\,x+1\right)}^2}{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(a*x + 1)^2/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1112,0,-1,52,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1113,0,-1,77,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x^2*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1114,0,-1,109,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x^3*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1115,0,-1,135,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x^4*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x^4\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x^4*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1116,0,-1,117,0.000000,"\text{Not used}","int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^3\,{\left(a\,x+1\right)}^2}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^3*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1117,0,-1,93,0.000000,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^2\,{\left(a\,x+1\right)}^2}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1118,1,34,60,1.017418,"\text{Not used}","int(-(x*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(2\,a\,x-1\right)}{3\,a^2\,c^2\,{\left(a\,x-1\right)}^2}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(2*a*x - 1))/(3*a^2*c^2*(a*x - 1)^2)","B"
1119,1,33,51,0.950504,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 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"
1120,0,-1,82,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1121,0,-1,108,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x^2*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x^2*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1122,0,-1,142,0.000000,"\text{Not used}","int(-(a*x + 1)^2/(x^3*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","-\int \frac{{\left(a\,x+1\right)}^2}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((a*x + 1)^2/(x^3*(c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1123,1,56,74,1.058757,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^(5/2)*(a^2*x^2 - 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"
1124,1,133,97,1.098213,"\text{Not used}","int(-(a*x + 1)^2/((c - a^2*c*x^2)^(7/2)*(a^2*x^2 - 1)),x)","\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}}{14\,a\,c^4\,{\left(a\,x-1\right)}^3}+\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)/(28*a*c^4*(a*x - 1)^4) - (c - a^2*c*x^2)^(1/2)/(14*a*c^4*(a*x - 1)^3) + ((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"
1125,1,531,120,1.234999,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^3*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\frac{c^3\,x\,x^m\,\left(m^6+27\,m^5+295\,m^4+1665\,m^3+5104\,m^2+8028\,m+5040\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}+\frac{2\,a\,c^3\,x^m\,x^2\,\left(m^6+26\,m^5+270\,m^4+1420\,m^3+3929\,m^2+5274\,m+2520\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}+\frac{a^6\,c^3\,x^m\,x^7\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}+\frac{2\,a^5\,c^3\,x^m\,x^6\,\left(m^6+22\,m^5+190\,m^4+820\,m^3+1849\,m^2+2038\,m+840\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}-\frac{a^4\,c^3\,x^m\,x^5\,\left(m^6+23\,m^5+207\,m^4+925\,m^3+2144\,m^2+2412\,m+1008\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}-\frac{4\,a^3\,c^3\,x^m\,x^4\,\left(m^6+24\,m^5+226\,m^4+1056\,m^3+2545\,m^2+2952\,m+1260\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}-\frac{a^2\,c^3\,x^m\,x^3\,\left(m^6+25\,m^5+247\,m^4+1219\,m^3+3112\,m^2+3796\,m+1680\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}","Not used",1,"(c^3*x*x^m*(8028*m + 5104*m^2 + 1665*m^3 + 295*m^4 + 27*m^5 + m^6 + 5040))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) + (2*a*c^3*x^m*x^2*(5274*m + 3929*m^2 + 1420*m^3 + 270*m^4 + 26*m^5 + m^6 + 2520))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) + (a^6*c^3*x^m*x^7*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) + (2*a^5*c^3*x^m*x^6*(2038*m + 1849*m^2 + 820*m^3 + 190*m^4 + 22*m^5 + m^6 + 840))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) - (a^4*c^3*x^m*x^5*(2412*m + 2144*m^2 + 925*m^3 + 207*m^4 + 23*m^5 + m^6 + 1008))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) - (4*a^3*c^3*x^m*x^4*(2952*m + 2545*m^2 + 1056*m^3 + 226*m^4 + 24*m^5 + m^6 + 1260))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) - (a^2*c^3*x^m*x^3*(3796*m + 3112*m^2 + 1219*m^3 + 247*m^4 + 25*m^5 + m^6 + 1680))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)","B"
1126,1,173,67,1.016325,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^2*(a*x + 1)^2)/(a^2*x^2 - 1),x)","x^m\,\left(\frac{c^2\,x\,\left(m^3+11\,m^2+38\,m+40\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}+\frac{2\,a\,c^2\,x^2\,\left(m^3+10\,m^2+29\,m+20\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}-\frac{a^4\,c^2\,x^5\,\left(m^3+7\,m^2+14\,m+8\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}-\frac{2\,a^3\,c^2\,x^4\,\left(m^3+8\,m^2+17\,m+10\right)}{m^4+12\,m^3+49\,m^2+78\,m+40}\right)","Not used",1,"x^m*((c^2*x*(38*m + 11*m^2 + m^3 + 40))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) + (2*a*c^2*x^2*(29*m + 10*m^2 + m^3 + 20))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) - (a^4*c^2*x^5*(14*m + 7*m^2 + m^3 + 8))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40) - (2*a^3*c^2*x^4*(17*m + 8*m^2 + m^3 + 10))/(78*m + 49*m^2 + 12*m^3 + m^4 + 40))","B"
1127,1,92,42,0.941333,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","x^m\,\left(\frac{c\,x\,\left(m^2+5\,m+6\right)}{m^3+6\,m^2+11\,m+6}+\frac{2\,a\,c\,x^2\,\left(m^2+4\,m+3\right)}{m^3+6\,m^2+11\,m+6}+\frac{a^2\,c\,x^3\,\left(m^2+3\,m+2\right)}{m^3+6\,m^2+11\,m+6}\right)","Not used",1,"x^m*((c*x*(5*m + m^2 + 6))/(11*m + 6*m^2 + m^3 + 6) + (2*a*c*x^2*(4*m + m^2 + 3))/(11*m + 6*m^2 + m^3 + 6) + (a^2*c*x^3*(3*m + m^2 + 2))/(11*m + 6*m^2 + m^3 + 6))","B"
1128,0,-1,25,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)),x)","-\int \frac{x^m\,{\left(a\,x+1\right)}^2}{\left(c-a^2\,c\,x^2\right)\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((x^m*(a*x + 1)^2)/((c - a^2*c*x^2)*(a^2*x^2 - 1)), x)","F"
1129,0,-1,113,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)),x)","-\int \frac{x^m\,{\left(a\,x+1\right)}^2}{{\left(c-a^2\,c\,x^2\right)}^2\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^2*(a^2*x^2 - 1)), x)","F"
1130,0,-1,203,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","-\int \frac{x^m\,{\left(a\,x+1\right)}^2}{{\left(c-a^2\,c\,x^2\right)}^3\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"-int((x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)), x)","F"
1131,0,-1,176,0.000000,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^m*(c - a^2*c*x^2)^(5/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1132,0,-1,172,0.000000,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^m*(c - a^2*c*x^2)^(3/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1133,0,-1,172,0.000000,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-(x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1134,0,-1,169,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^m\,{\left(a\,x+1\right)}^2}{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1)), x)","F"
1135,0,-1,183,0.000000,"\text{Not used}","int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)),x)","\int -\frac{x^m\,{\left(a\,x+1\right)}^2}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-(x^m*(a*x + 1)^2)/((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1)), x)","F"
1136,0,-1,55,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^p*(a*x + 1)^2)/(a^2*x^2 - 1),x)","\int -\frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^2}{a^2\,x^2-1} \,d x","Not used",1,"int(-((c - a^2*c*x^2)^p*(a*x + 1)^2)/(a^2*x^2 - 1), x)","F"
1137,1,140,136,0.914514,"\text{Not used}","int((x^3*(c - a^2*c*x^2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{23\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,a^3\,\sqrt{-a^2}}-\frac{3\,c\,x^4\,\sqrt{1-a^2\,x^2}}{5}-\frac{23\,c\,x^3\,\sqrt{1-a^2\,x^2}}{24\,a}-\frac{17\,c\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a^2}-\frac{23\,c\,x\,\sqrt{1-a^2\,x^2}}{16\,a^3}-\frac{a\,c\,x^5\,\sqrt{1-a^2\,x^2}}{6}-\frac{34\,c\,\sqrt{1-a^2\,x^2}}{15\,a^4}","Not used",1,"(23*c*asinh(x*(-a^2)^(1/2)))/(16*a^3*(-a^2)^(1/2)) - (3*c*x^4*(1 - a^2*x^2)^(1/2))/5 - (23*c*x^3*(1 - a^2*x^2)^(1/2))/(24*a) - (17*c*x^2*(1 - a^2*x^2)^(1/2))/(15*a^2) - (23*c*x*(1 - a^2*x^2)^(1/2))/(16*a^3) - (a*c*x^5*(1 - a^2*x^2)^(1/2))/6 - (34*c*(1 - a^2*x^2)^(1/2))/(15*a^4)","B"
1138,1,119,111,0.029812,"\text{Not used}","int((x^2*(c - a^2*c*x^2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{13\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a^2\,\sqrt{-a^2}}-\frac{3\,c\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{19\,c\,x^2\,\sqrt{1-a^2\,x^2}}{15\,a}-\frac{13\,c\,x\,\sqrt{1-a^2\,x^2}}{8\,a^2}-\frac{a\,c\,x^4\,\sqrt{1-a^2\,x^2}}{5}-\frac{38\,c\,\sqrt{1-a^2\,x^2}}{15\,a^3}","Not used",1,"(13*c*asinh(x*(-a^2)^(1/2)))/(8*a^2*(-a^2)^(1/2)) - (3*c*x^3*(1 - a^2*x^2)^(1/2))/4 - (19*c*x^2*(1 - a^2*x^2)^(1/2))/(15*a) - (13*c*x*(1 - a^2*x^2)^(1/2))/(8*a^2) - (a*c*x^4*(1 - a^2*x^2)^(1/2))/5 - (38*c*(1 - a^2*x^2)^(1/2))/(15*a^3)","B"
1139,1,98,120,0.033273,"\text{Not used}","int((x*(c - a^2*c*x^2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{15\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,a\,\sqrt{-a^2}}-c\,x^2\,\sqrt{1-a^2\,x^2}-\frac{15\,c\,x\,\sqrt{1-a^2\,x^2}}{8\,a}-\frac{a\,c\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{3\,c\,\sqrt{1-a^2\,x^2}}{a^2}","Not used",1,"(15*c*asinh(x*(-a^2)^(1/2)))/(8*a*(-a^2)^(1/2)) - c*x^2*(1 - a^2*x^2)^(1/2) - (15*c*x*(1 - a^2*x^2)^(1/2))/(8*a) - (a*c*x^3*(1 - a^2*x^2)^(1/2))/4 - (3*c*(1 - a^2*x^2)^(1/2))/a^2","B"
1140,1,74,91,0.036778,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{5\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-\frac{3\,c\,x\,\sqrt{1-a^2\,x^2}}{2}-\frac{11\,c\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{a\,c\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(5*c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) - (3*c*x*(1 - a^2*x^2)^(1/2))/2 - (11*c*(1 - a^2*x^2)^(1/2))/(3*a) - (a*c*x^2*(1 - a^2*x^2)^(1/2))/3","B"
1141,1,70,66,0.914208,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\frac{7\,a\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}-c\,\mathrm{atanh}\left(\sqrt{1-a^2\,x^2}\right)-\frac{a\,c\,x\,\sqrt{1-a^2\,x^2}}{2}-3\,c\,\sqrt{1-a^2\,x^2}","Not used",1,"(7*a*c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) - c*atanh((1 - a^2*x^2)^(1/2)) - (a*c*x*(1 - a^2*x^2)^(1/2))/2 - 3*c*(1 - a^2*x^2)^(1/2)","B"
1142,1,79,66,0.040694,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\frac{3\,a^2\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-a\,c\,\sqrt{1-a^2\,x^2}-\frac{c\,\sqrt{1-a^2\,x^2}}{x}+a\,c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,3{}\mathrm{i}","Not used",1,"a*c*atan((1 - a^2*x^2)^(1/2)*1i)*3i - (c*(1 - a^2*x^2)^(1/2))/x - a*c*(1 - a^2*x^2)^(1/2) + (3*a^2*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
1143,1,83,76,0.048747,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\frac{a^3\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{\sqrt{-a^2}}-\frac{3\,a\,c\,\sqrt{1-a^2\,x^2}}{x}-\frac{c\,\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{a^2\,c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{2}","Not used",1,"(a^2*c*atan((1 - a^2*x^2)^(1/2)*1i)*7i)/2 - (c*(1 - a^2*x^2)^(1/2))/(2*x^2) - (3*a*c*(1 - a^2*x^2)^(1/2))/x + (a^3*c*asinh(x*(-a^2)^(1/2)))/(-a^2)^(1/2)","B"
1144,1,82,94,0.894141,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)),x)","-\frac{c\,\sqrt{1-a^2\,x^2}}{3\,x^3}-\frac{11\,a^2\,c\,\sqrt{1-a^2\,x^2}}{3\,x}-\frac{3\,a\,c\,\sqrt{1-a^2\,x^2}}{2\,x^2}+\frac{a^3\,c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{2}","Not used",1,"(a^3*c*atan((1 - a^2*x^2)^(1/2)*1i)*5i)/2 - (c*(1 - a^2*x^2)^(1/2))/(3*x^3) - (11*a^2*c*(1 - a^2*x^2)^(1/2))/(3*x) - (3*a*c*(1 - a^2*x^2)^(1/2))/(2*x^2)","B"
1145,1,103,115,0.881404,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)),x)","-\frac{c\,\sqrt{1-a^2\,x^2}}{4\,x^4}-\frac{15\,a^2\,c\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{3\,a^3\,c\,\sqrt{1-a^2\,x^2}}{x}-\frac{a\,c\,\sqrt{1-a^2\,x^2}}{x^3}+\frac{a^4\,c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,15{}\mathrm{i}}{8}","Not used",1,"(a^4*c*atan((1 - a^2*x^2)^(1/2)*1i)*15i)/8 - (c*(1 - a^2*x^2)^(1/2))/(4*x^4) - (15*a^2*c*(1 - a^2*x^2)^(1/2))/(8*x^2) - (3*a^3*c*(1 - a^2*x^2)^(1/2))/x - (a*c*(1 - a^2*x^2)^(1/2))/x^3","B"
1146,1,124,144,0.040206,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^3)/(x^6*(1 - a^2*x^2)^(3/2)),x)","-\frac{c\,\sqrt{1-a^2\,x^2}}{5\,x^5}-\frac{19\,a^2\,c\,\sqrt{1-a^2\,x^2}}{15\,x^3}-\frac{13\,a^3\,c\,\sqrt{1-a^2\,x^2}}{8\,x^2}-\frac{38\,a^4\,c\,\sqrt{1-a^2\,x^2}}{15\,x}-\frac{3\,a\,c\,\sqrt{1-a^2\,x^2}}{4\,x^4}+\frac{a^5\,c\,\mathrm{atan}\left(\sqrt{1-a^2\,x^2}\,1{}\mathrm{i}\right)\,13{}\mathrm{i}}{8}","Not used",1,"(a^5*c*atan((1 - a^2*x^2)^(1/2)*1i)*13i)/8 - (c*(1 - a^2*x^2)^(1/2))/(5*x^5) - (19*a^2*c*(1 - a^2*x^2)^(1/2))/(15*x^3) - (13*a^3*c*(1 - a^2*x^2)^(1/2))/(8*x^2) - (38*a^4*c*(1 - a^2*x^2)^(1/2))/(15*x) - (3*a*c*(1 - a^2*x^2)^(1/2))/(4*x^4)","B"
1147,1,128,121,0.033735,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{7\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}-\frac{17\,c^2\,\sqrt{1-a^2\,x^2}}{15\,a}+\frac{14\,a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{15}+\frac{3\,a^2\,c^2\,x^3\,\sqrt{1-a^2\,x^2}}{4}+\frac{a^3\,c^2\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(c^2*x*(1 - a^2*x^2)^(1/2))/8 + (7*c^2*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) - (17*c^2*(1 - a^2*x^2)^(1/2))/(15*a) + (14*a*c^2*x^2*(1 - a^2*x^2)^(1/2))/15 + (3*a^2*c^2*x^3*(1 - a^2*x^2)^(1/2))/4 + (a^3*c^2*x^4*(1 - a^2*x^2)^(1/2))/5","B"
1148,1,174,143,0.047649,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{7\,c^3\,x\,\sqrt{1-a^2\,x^2}}{16}+\frac{9\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,\sqrt{-a^2}}-\frac{23\,c^3\,\sqrt{1-a^2\,x^2}}{35\,a}+\frac{41\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{35}+\frac{5\,a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{8}-\frac{13\,a^3\,c^3\,x^4\,\sqrt{1-a^2\,x^2}}{35}-\frac{a^4\,c^3\,x^5\,\sqrt{1-a^2\,x^2}}{2}-\frac{a^5\,c^3\,x^6\,\sqrt{1-a^2\,x^2}}{7}","Not used",1,"(7*c^3*x*(1 - a^2*x^2)^(1/2))/16 + (9*c^3*asinh(x*(-a^2)^(1/2)))/(16*(-a^2)^(1/2)) - (23*c^3*(1 - a^2*x^2)^(1/2))/(35*a) + (41*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/35 + (5*a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/8 - (13*a^3*c^3*x^4*(1 - a^2*x^2)^(1/2))/35 - (a^4*c^3*x^5*(1 - a^2*x^2)^(1/2))/2 - (a^5*c^3*x^6*(1 - a^2*x^2)^(1/2))/7","B"
1149,1,220,165,0.925248,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{73\,c^4\,x\,\sqrt{1-a^2\,x^2}}{128}+\frac{55\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{128\,\sqrt{-a^2}}-\frac{29\,c^4\,\sqrt{1-a^2\,x^2}}{63\,a}+\frac{80\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{63}+\frac{73\,a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{192}-\frac{22\,a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{21}-\frac{43\,a^4\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{48}+\frac{8\,a^5\,c^4\,x^6\,\sqrt{1-a^2\,x^2}}{63}+\frac{3\,a^6\,c^4\,x^7\,\sqrt{1-a^2\,x^2}}{8}+\frac{a^7\,c^4\,x^8\,\sqrt{1-a^2\,x^2}}{9}","Not used",1,"(73*c^4*x*(1 - a^2*x^2)^(1/2))/128 + (55*c^4*asinh(x*(-a^2)^(1/2)))/(128*(-a^2)^(1/2)) - (29*c^4*(1 - a^2*x^2)^(1/2))/(63*a) + (80*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/63 + (73*a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/192 - (22*a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/21 - (43*a^4*c^4*x^5*(1 - a^2*x^2)^(1/2))/48 + (8*a^5*c^4*x^6*(1 - a^2*x^2)^(1/2))/63 + (3*a^6*c^4*x^7*(1 - a^2*x^2)^(1/2))/8 + (a^7*c^4*x^8*(1 - a^2*x^2)^(1/2))/9","B"
1150,1,133,95,0.939550,"\text{Not used}","int((x^2*(a*x + 1)^3)/((c - a^2*c*x^2)*(1 - a^2*x^2)^(3/2)),x)","\frac{2\,\sqrt{1-a^2\,x^2}}{3\,\left(c\,a^5\,x^2-2\,c\,a^4\,x+c\,a^3\right)}+\frac{13\,\sqrt{1-a^2\,x^2}}{3\,\left(a\,c\,\sqrt{-a^2}-a^2\,c\,x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}-\frac{\sqrt{1-a^2\,x^2}}{a^3\,c}+\frac{3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{a^2\,c\,\sqrt{-a^2}}","Not used",1,"(2*(1 - a^2*x^2)^(1/2))/(3*(a^3*c + a^5*c*x^2 - 2*a^4*c*x)) + (13*(1 - a^2*x^2)^(1/2))/(3*(a*c*(-a^2)^(1/2) - a^2*c*x*(-a^2)^(1/2))*(-a^2)^(1/2)) - (1 - a^2*x^2)^(1/2)/(a^3*c) + (3*asinh(x*(-a^2)^(1/2)))/(a^2*c*(-a^2)^(1/2))","B"
1151,1,108,70,0.951291,"\text{Not used}","int((x*(a*x + 1)^3)/((c - a^2*c*x^2)*(1 - a^2*x^2)^(3/2)),x)","\frac{4}{3\,a^2\,c\,{\left(1-a^2\,x^2\right)}^{3/2}}-\frac{3}{a^2\,c\,\sqrt{1-a^2\,x^2}}-\frac{7\,x}{3\,a\,c\,\sqrt{1-a^2\,x^2}}+\frac{4\,x}{3\,a\,c\,{\left(1-a^2\,x^2\right)}^{3/2}}-\frac{\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)\,\sqrt{-a^2}}{a^3\,c}","Not used",1,"4/(3*a^2*c*(1 - a^2*x^2)^(3/2)) - 3/(a^2*c*(1 - a^2*x^2)^(1/2)) - (7*x)/(3*a*c*(1 - a^2*x^2)^(1/2)) + (4*x)/(3*a*c*(1 - a^2*x^2)^(3/2)) - (asinh(x*(-a^2)^(1/2))*(-a^2)^(1/2))/(a^3*c)","B"
1152,1,32,18,0.064844,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(a\,x+1\right)}{3\,a\,c\,{\left(a\,x-1\right)}^2}","Not used",1,"((1 - a^2*x^2)^(1/2)*(a*x + 1))/(3*a*c*(a*x - 1)^2)","B"
1153,1,127,97,0.911728,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{2\,a^3}{15\,c^2\,\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}-\frac{a^3}{5\,c^2\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^3}+\frac{2\,a^4}{15\,c^2\,{\left(x\,\sqrt{-a^2}-\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^3\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((2*a^3)/(15*c^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)) - a^3/(5*c^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^3) + (2*a^4)/(15*c^2*(x*(-a^2)^(1/2) - (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^3*(-a^2)^(1/2))","B"
1154,1,125,119,1.195948,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(3/2)),x)","\frac{29\,\sqrt{1-a^2\,x^2}}{280\,a\,c^3\,{\left(a\,x-1\right)}^2}-\frac{13\,\sqrt{1-a^2\,x^2}}{140\,a\,c^3\,{\left(a\,x-1\right)}^3}+\frac{\sqrt{1-a^2\,x^2}}{14\,a\,c^3\,{\left(a\,x-1\right)}^4}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{8\,x}{35\,c^3}+\frac{29}{280\,a\,c^3}\right)}{\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(29*(1 - a^2*x^2)^(1/2))/(280*a*c^3*(a*x - 1)^2) - (13*(1 - a^2*x^2)^(1/2))/(140*a*c^3*(a*x - 1)^3) + (1 - a^2*x^2)^(1/2)/(14*a*c^3*(a*x - 1)^4) - ((1 - a^2*x^2)^(1/2)*((8*x)/(35*c^3) + 29/(280*a*c^3)))/((a*x - 1)*(a*x + 1))","B"
1155,1,156,141,1.262595,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^4*(1 - a^2*x^2)^(3/2)),x)","\frac{13\,\sqrt{1-a^2\,x^2}}{252\,a\,c^4\,{\left(a\,x-1\right)}^4}-\frac{23\,\sqrt{1-a^2\,x^2}}{336\,a\,c^4\,{\left(a\,x-1\right)}^3}-\frac{\sqrt{1-a^2\,x^2}}{36\,a\,c^4\,{\left(a\,x-1\right)}^5}+\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{197\,x}{1008\,c^4}+\frac{155}{1008\,a\,c^4}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}-\frac{16\,x\,\sqrt{1-a^2\,x^2}}{63\,c^4\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"(13*(1 - a^2*x^2)^(1/2))/(252*a*c^4*(a*x - 1)^4) - (23*(1 - a^2*x^2)^(1/2))/(336*a*c^4*(a*x - 1)^3) - (1 - a^2*x^2)^(1/2)/(36*a*c^4*(a*x - 1)^5) + ((1 - a^2*x^2)^(1/2)*((197*x)/(1008*c^4) + 155/(1008*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) - (16*x*(1 - a^2*x^2)^(1/2))/(63*c^4*(a*x - 1)*(a*x + 1))","B"
1156,0,-1,226,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1157,0,-1,185,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1158,0,-1,150,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1159,0,-1,111,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1160,0,-1,104,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{x\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)), x)","F"
1161,0,-1,108,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{x^2\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)), x)","F"
1162,0,-1,149,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{x^3\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)), x)","F"
1163,0,-1,188,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{x^4\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^4*(1 - a^2*x^2)^(3/2)), x)","F"
1164,0,-1,223,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{x^5\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(x^5*(1 - a^2*x^2)^(3/2)), x)","F"
1165,1,54,44,1.051436,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{c\,a^3\,x^4}{4}+c\,a^2\,x^3+\frac{3\,c\,a\,x^2}{2}+c\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c*x + a^2*c*x^3 + (a^3*c*x^4)/4 + (3*a*c*x^2)/2))/(1 - a^2*x^2)^(1/2)","B"
1166,1,85,93,1.084181,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(-\frac{a^5\,c^2\,x^6}{6}-\frac{3\,a^4\,c^2\,x^5}{5}-\frac{a^3\,c^2\,x^4}{2}+\frac{2\,a^2\,c^2\,x^3}{3}+\frac{3\,a\,c^2\,x^2}{2}+c^2\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c^2*x + (3*a*c^2*x^2)/2 + (2*a^2*c^2*x^3)/3 - (a^3*c^2*x^4)/2 - (3*a^4*c^2*x^5)/5 - (a^5*c^2*x^6)/6))/(1 - a^2*x^2)^(1/2)","B"
1167,1,107,139,1.088899,"\text{Not used}","int(((c - a^2*c*x^2)^(7/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{a^7\,c^3\,x^8}{8}+\frac{3\,a^6\,c^3\,x^7}{7}+\frac{a^5\,c^3\,x^6}{6}-a^4\,c^3\,x^5-\frac{5\,a^3\,c^3\,x^4}{4}+\frac{a^2\,c^3\,x^3}{3}+\frac{3\,a\,c^3\,x^2}{2}+c^3\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c^3*x + (3*a*c^3*x^2)/2 + (a^2*c^3*x^3)/3 - (5*a^3*c^3*x^4)/4 - a^4*c^3*x^5 + (a^5*c^3*x^6)/6 + (3*a^6*c^3*x^7)/7 + (a^7*c^3*x^8)/8))/(1 - a^2*x^2)^(1/2)","B"
1168,1,106,185,1.091652,"\text{Not used}","int(((c - a^2*c*x^2)^(9/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\left(-\frac{a^9\,c^4\,x^{10}}{10}-\frac{a^8\,c^4\,x^9}{3}+\frac{8\,a^6\,c^4\,x^7}{7}+a^5\,c^4\,x^6-\frac{6\,a^4\,c^4\,x^5}{5}-2\,a^3\,c^4\,x^4+\frac{3\,a\,c^4\,x^2}{2}+c^4\,x\right)}{\sqrt{1-a^2\,x^2}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(c^4*x + (3*a*c^4*x^2)/2 - 2*a^3*c^4*x^4 - (6*a^4*c^4*x^5)/5 + a^5*c^4*x^6 + (8*a^6*c^4*x^7)/7 - (a^8*c^4*x^9)/3 - (a^9*c^4*x^10)/10))/(1 - a^2*x^2)^(1/2)","B"
1169,0,-1,83,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2)), x)","F"
1170,1,74,47,1.247080,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(3/2)),x)","\frac{\sqrt{c-a^2\,c\,x^2}}{2\,a^3\,c^2\,\left(\frac{\sqrt{1-a^2\,x^2}}{a^2}+x^2\,\sqrt{1-a^2\,x^2}-\frac{2\,x\,\sqrt{1-a^2\,x^2}}{a}\right)}","Not used",1,"(c - a^2*c*x^2)^(1/2)/(2*a^3*c^2*((1 - a^2*x^2)^(1/2)/a^2 + x^2*(1 - a^2*x^2)^(1/2) - (2*x*(1 - a^2*x^2)^(1/2))/a))","B"
1171,0,-1,185,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(3/2)), x)","F"
1172,0,-1,278,0.000000,"\text{Not used}","int((a*x + 1)^3/((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(a\,x+1\right)}^3}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((a*x + 1)^3/((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(3/2)), x)","F"
1173,0,-1,136,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^(1/2)*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1174,0,-1,251,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1175,0,-1,224,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^3\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1176,0,-1,222,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x^2\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1177,0,-1,138,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{x\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1178,0,-1,85,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(1 - a^2*x^2)^(3/2), x)","F"
1179,0,-1,193,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{x\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x*(1 - a^2*x^2)^(3/2)), x)","F"
1180,0,-1,187,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{x^2\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x^2*(1 - a^2*x^2)^(3/2)), x)","F"
1181,0,-1,194,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^3}{x^3\,{\left(1-a^2\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^3)/(x^3*(1 - a^2*x^2)^(3/2)), x)","F"
1182,1,101,66,0.932218,"\text{Not used}","int(((c - a^2*c*x^2)^5*(a*x + 1)^4)/(a^2*x^2 - 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"
1183,1,92,52,0.051295,"\text{Not used}","int(((c - a^2*c*x^2)^4*(a*x + 1)^4)/(a^2*x^2 - 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"
1184,1,59,35,0.032744,"\text{Not used}","int(((c - a^2*c*x^2)^3*(a*x + 1)^4)/(a^2*x^2 - 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"
1185,1,47,17,0.028744,"\text{Not used}","int(((c - a^2*c*x^2)^2*(a*x + 1)^4)/(a^2*x^2 - 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"
1186,1,33,36,0.049841,"\text{Not used}","int(((c - a^2*c*x^2)*(a*x + 1)^4)/(a^2*x^2 - 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"
1187,1,12,13,0.918854,"\text{Not used}","int((a*x + 1)^4/((c - a^2*c*x^2)*(a^2*x^2 - 1)^2),x)","\frac{x}{c\,{\left(a\,x-1\right)}^2}","Not used",1,"x/(c*(a*x - 1)^2)","B"
1188,1,40,18,0.927097,"\text{Not used}","int((a*x + 1)^4/((c - a^2*c*x^2)^2*(a^2*x^2 - 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"
1189,1,83,87,0.104926,"\text{Not used}","int((a*x + 1)^4/((c - a^2*c*x^2)^3*(a^2*x^2 - 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"
1190,1,111,122,0.973932,"\text{Not used}","int((a*x + 1)^4/((c - a^2*c*x^2)^4*(a^2*x^2 - 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"
1191,0,-1,63,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(a\,x+1\right)}^4}{{\left(a^2\,x^2-1\right)}^2} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(a*x + 1)^4)/(a^2*x^2 - 1)^2, x)","F"
1192,1,220,127,0.928736,"\text{Not used}","int(((c - a^2*c*x^2)^4*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{93\,c^4\,x\,\sqrt{1-a^2\,x^2}}{128}+\frac{35\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{128\,\sqrt{-a^2}}+\frac{c^4\,\sqrt{1-a^2\,x^2}}{9\,a}-\frac{4\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{9}-\frac{163\,a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{192}+\frac{2\,a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{3}+\frac{25\,a^4\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{48}-\frac{4\,a^5\,c^4\,x^6\,\sqrt{1-a^2\,x^2}}{9}-\frac{a^6\,c^4\,x^7\,\sqrt{1-a^2\,x^2}}{8}+\frac{a^7\,c^4\,x^8\,\sqrt{1-a^2\,x^2}}{9}","Not used",1,"(93*c^4*x*(1 - a^2*x^2)^(1/2))/128 + (35*c^4*asinh(x*(-a^2)^(1/2)))/(128*(-a^2)^(1/2)) + (c^4*(1 - a^2*x^2)^(1/2))/(9*a) - (4*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/9 - (163*a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/192 + (2*a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/3 + (25*a^4*c^4*x^5*(1 - a^2*x^2)^(1/2))/48 - (4*a^5*c^4*x^6*(1 - a^2*x^2)^(1/2))/9 - (a^6*c^4*x^7*(1 - a^2*x^2)^(1/2))/8 + (a^7*c^4*x^8*(1 - a^2*x^2)^(1/2))/9","B"
1193,1,174,105,0.890882,"\text{Not used}","int(((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{11\,c^3\,x\,\sqrt{1-a^2\,x^2}}{16}+\frac{5\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,\sqrt{-a^2}}+\frac{c^3\,\sqrt{1-a^2\,x^2}}{7\,a}-\frac{3\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{7}-\frac{13\,a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{24}+\frac{3\,a^3\,c^3\,x^4\,\sqrt{1-a^2\,x^2}}{7}+\frac{a^4\,c^3\,x^5\,\sqrt{1-a^2\,x^2}}{6}-\frac{a^5\,c^3\,x^6\,\sqrt{1-a^2\,x^2}}{7}","Not used",1,"(11*c^3*x*(1 - a^2*x^2)^(1/2))/16 + (5*c^3*asinh(x*(-a^2)^(1/2)))/(16*(-a^2)^(1/2)) + (c^3*(1 - a^2*x^2)^(1/2))/(7*a) - (3*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/7 - (13*a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/24 + (3*a^3*c^3*x^4*(1 - a^2*x^2)^(1/2))/7 + (a^4*c^3*x^5*(1 - a^2*x^2)^(1/2))/6 - (a^5*c^3*x^6*(1 - a^2*x^2)^(1/2))/7","B"
1194,1,128,83,0.038691,"\text{Not used}","int(((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{5\,c^2\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{3\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{c^2\,\sqrt{1-a^2\,x^2}}{5\,a}-\frac{2\,a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{5}-\frac{a^2\,c^2\,x^3\,\sqrt{1-a^2\,x^2}}{4}+\frac{a^3\,c^2\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(5*c^2*x*(1 - a^2*x^2)^(1/2))/8 + (3*c^2*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (c^2*(1 - a^2*x^2)^(1/2))/(5*a) - (2*a*c^2*x^2*(1 - a^2*x^2)^(1/2))/5 - (a^2*c^2*x^3*(1 - a^2*x^2)^(1/2))/4 + (a^3*c^2*x^4*(1 - a^2*x^2)^(1/2))/5","B"
1195,1,80,55,0.907781,"\text{Not used}","int(((c - a^2*c*x^2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{c\,x\,\sqrt{-a^2}}{2}-\frac{a\,c}{3\,\sqrt{-a^2}}+\frac{a^3\,c\,x^2}{3\,\sqrt{-a^2}}\right)}{\sqrt{-a^2}}+\frac{c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}","Not used",1,"((1 - a^2*x^2)^(1/2)*((c*x*(-a^2)^(1/2))/2 - (a*c)/(3*(-a^2)^(1/2)) + (a^3*c*x^2)/(3*(-a^2)^(1/2))))/(-a^2)^(1/2) + (c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2))","B"
1196,1,46,16,0.045045,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}}{c\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)\,\sqrt{-a^2}}","Not used",1,"(1 - a^2*x^2)^(1/2)/(c*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)*(-a^2)^(1/2))","B"
1197,1,48,53,0.998488,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^2*(a*x + 1)),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(2\,a^2\,x^2+2\,a\,x-1\right)}{3\,a\,c^2\,\left(a\,x-1\right)\,{\left(a\,x+1\right)}^2}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(2*a*x + 2*a^2*x^2 - 1))/(3*a*c^2*(a*x - 1)*(a*x + 1)^2)","B"
1198,1,64,75,1.084451,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^3*(a*x + 1)),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(8\,a^4\,x^4+8\,a^3\,x^3-12\,a^2\,x^2-12\,a\,x+3\right)}{15\,a\,c^3\,{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^3}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(8*a^3*x^3 - 12*a^2*x^2 - 12*a*x + 8*a^4*x^4 + 3))/(15*a*c^3*(a*x - 1)^2*(a*x + 1)^3)","B"
1199,1,145,97,1.184657,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^4*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{8\,x}{35\,c^4}+\frac{1}{56\,a\,c^4}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{17\,x}{70\,c^4}-\frac{1}{7\,a\,c^4}\right)}{{\left(a\,x-1\right)}^3\,{\left(a\,x+1\right)}^3}-\frac{\sqrt{1-a^2\,x^2}}{56\,a\,c^4\,{\left(a\,x+1\right)}^4}-\frac{16\,x\,\sqrt{1-a^2\,x^2}}{35\,c^4\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"((1 - a^2*x^2)^(1/2)*((8*x)/(35*c^4) + 1/(56*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) - ((1 - a^2*x^2)^(1/2)*((17*x)/(70*c^4) - 1/(7*a*c^4)))/((a*x - 1)^3*(a*x + 1)^3) - (1 - a^2*x^2)^(1/2)/(56*a*c^4*(a*x + 1)^4) - (16*x*(1 - a^2*x^2)^(1/2))/(35*c^4*(a*x - 1)*(a*x + 1))","B"
1200,1,177,119,1.330456,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^5*(a*x + 1)),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{53\,x}{252\,c^5}-\frac{5}{36\,a\,c^5}\right)}{{\left(a\,x-1\right)}^4\,{\left(a\,x+1\right)}^4}-\frac{\sqrt{1-a^2\,x^2}}{144\,a\,c^5\,{\left(a\,x+1\right)}^5}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{733\,x}{5040\,c^5}+\frac{5}{144\,a\,c^5}\right)}{{\left(a\,x-1\right)}^3\,{\left(a\,x+1\right)}^3}-\frac{128\,x\,\sqrt{1-a^2\,x^2}}{315\,c^5\,\left(a\,x-1\right)\,\left(a\,x+1\right)}+\frac{64\,x\,\sqrt{1-a^2\,x^2}}{315\,c^5\,{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}","Not used",1,"((1 - a^2*x^2)^(1/2)*((53*x)/(252*c^5) - 5/(36*a*c^5)))/((a*x - 1)^4*(a*x + 1)^4) - (1 - a^2*x^2)^(1/2)/(144*a*c^5*(a*x + 1)^5) - ((1 - a^2*x^2)^(1/2)*((733*x)/(5040*c^5) + 5/(144*a*c^5)))/((a*x - 1)^3*(a*x + 1)^3) - (128*x*(1 - a^2*x^2)^(1/2))/(315*c^5*(a*x - 1)*(a*x + 1)) + (64*x*(1 - a^2*x^2)^(1/2))/(315*c^5*(a*x - 1)^2*(a*x + 1)^2)","B"
1201,1,52,83,1.226776,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\frac{x\,x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(m-a\,x-a\,m\,x+2\right)}{\sqrt{1-a^2\,x^2}\,\left(m^2+3\,m+2\right)}","Not used",1,"(x*x^m*(c - a^2*c*x^2)^(1/2)*(m - a*x - a*m*x + 2))/((1 - a^2*x^2)^(1/2)*(3*m + m^2 + 2))","B"
1202,0,-1,74,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1203,0,-1,74,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1204,0,-1,69,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1205,0,-1,66,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)), x)","F"
1206,0,-1,69,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)), x)","F"
1207,0,-1,91,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1208,0,-1,140,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1209,0,-1,187,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1210,0,-1,234,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{9/2}\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(9/2)*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1211,0,-1,39,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{\sqrt{c-a^2\,c\,x^2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)), x)","F"
1212,0,-1,90,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(3/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(3/2)*(a*x + 1)), x)","F"
1213,0,-1,183,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)), x)","F"
1214,0,-1,276,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)),x)","\int \frac{\sqrt{1-a^2\,x^2}}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)), x)","F"
1215,0,-1,137,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^m\,{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1216,0,-1,85,0.000000,"\text{Not used}","int((x^3*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^3\,{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^3*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1217,0,-1,84,0.000000,"\text{Not used}","int((x^2*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^2\,{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^2*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1218,0,-1,58,0.000000,"\text{Not used}","int((x*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x\,{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x*(1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1219,0,-1,59,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1220,0,-1,73,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)), x)","F"
1221,0,-1,74,0.000000,"\text{Not used}","int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)),x)","\int \frac{{\left(1-a^2\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((1 - a^2*x^2)^p*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)), x)","F"
1222,0,-1,134,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^3\,{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1223,0,-1,133,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x^2\,{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1224,0,-1,96,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{x\,{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1225,0,-1,86,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{a\,x+1} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(a*x + 1), x)","F"
1226,0,-1,111,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{x\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(x*(a*x + 1)), x)","F"
1227,0,-1,112,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)),x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\sqrt{1-a^2\,x^2}}{x^2\,\left(a\,x+1\right)} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(1/2))/(x^2*(a*x + 1)), x)","F"
1228,1,81,73,0.045213,"\text{Not used}","int(-((c - a^2*c*x^2)^4*(a^2*x^2 - 1))/(a*x + 1)^2,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,"c^4*x - a*c^4*x^2 - (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"
1229,1,69,55,0.038286,"\text{Not used}","int(-((c - a^2*c*x^2)^3*(a^2*x^2 - 1))/(a*x + 1)^2,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,"c^3*x - a*c^3*x^2 - (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"
1230,1,37,37,0.047196,"\text{Not used}","int(-((c - a^2*c*x^2)^2*(a^2*x^2 - 1))/(a*x + 1)^2,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,"c^2*x - a*c^2*x^2 + (a^3*c^2*x^4)/2 - (a^4*c^2*x^5)/5","B"
1231,1,17,16,0.039791,"\text{Not used}","int(-((c - a^2*c*x^2)*(a^2*x^2 - 1))/(a*x + 1)^2,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"
1232,1,13,15,0.900575,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)*(a*x + 1)^2),x)","-\frac{1}{a\,\left(c+a\,c\,x\right)}","Not used",1,"-1/(a*(c + a*c*x))","B"
1233,1,47,49,0.066765,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^2*(a*x + 1)^2),x)","\frac{\mathrm{atanh}\left(a\,x\right)}{4\,a\,c^2}-\frac{\frac{x}{4}+\frac{1}{2\,a}}{a^2\,c^2\,x^2+2\,a\,c^2\,x+c^2}","Not used",1,"atanh(a*x)/(4*a*c^2) - (x/4 + 1/(2*a))/(c^2 + a^2*c^2*x^2 + 2*a*c^2*x)","B"
1234,1,72,84,0.088029,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^3*(a*x + 1)^2),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"
1235,1,120,119,0.985721,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^4*(a*x + 1)^2),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"
1236,0,-1,137,0.000000,"\text{Not used}","int(-(x^3*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^3*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1237,0,-1,112,0.000000,"\text{Not used}","int(-(x^2*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^2*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1238,0,-1,85,0.000000,"\text{Not used}","int(-(x*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1239,0,-1,87,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1240,0,-1,78,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{x\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x*(a*x + 1)^2), x)","F"
1241,0,-1,82,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^2*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{x^2\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^2*(a*x + 1)^2), x)","F"
1242,0,-1,78,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^3*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{x^3\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^3*(a*x + 1)^2), x)","F"
1243,0,-1,99,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^4*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{x^4\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^4*(a*x + 1)^2), x)","F"
1244,0,-1,130,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^5*(a*x + 1)^2),x)","-\int \frac{\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{x^5\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(x^5*(a*x + 1)^2), x)","F"
1245,0,-1,108,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(3/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1246,0,-1,131,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(5/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1247,0,-1,154,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^(7/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1248,0,-1,61,0.000000,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2),x)","-\int \frac{a^2\,x^2-1}{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((a^2*x^2 - 1)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)^2), x)","F"
1249,1,33,52,0.975889,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^(3/2)*(a*x + 1)^2),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"
1250,1,56,75,1.094639,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)^2),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"
1251,1,133,98,1.115850,"\text{Not used}","int(-(a^2*x^2 - 1)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)^2),x)","\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{\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}}{14\,a\,c^4\,{\left(a\,x+1\right)}^3}-\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)*((11*x)/(42*c^4) - 5/(28*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) - (c - a^2*c*x^2)^(1/2)/(28*a*c^4*(a*x + 1)^4) - (c - a^2*c*x^2)^(1/2)/(14*a*c^4*(a*x + 1)^3) - (8*x*(c - a^2*c*x^2)^(1/2))/(21*c^4*(a*x - 1)*(a*x + 1))","B"
1252,0,-1,172,0.000000,"\text{Not used}","int(-(x^m*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int((x^m*(c - a^2*c*x^2)^(1/2)*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1253,0,-1,54,0.000000,"\text{Not used}","int(-((c - a^2*c*x^2)^p*(a^2*x^2 - 1))/(a*x + 1)^2,x)","-\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,\left(a^2\,x^2-1\right)}{{\left(a\,x+1\right)}^2} \,d x","Not used",1,"-int(((c - a^2*c*x^2)^p*(a^2*x^2 - 1))/(a*x + 1)^2, x)","F"
1254,1,220,167,0.069716,"\text{Not used}","int(((c - a^2*c*x^2)^4*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{73\,c^4\,x\,\sqrt{1-a^2\,x^2}}{128}+\frac{55\,c^4\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{128\,\sqrt{-a^2}}+\frac{29\,c^4\,\sqrt{1-a^2\,x^2}}{63\,a}-\frac{80\,a\,c^4\,x^2\,\sqrt{1-a^2\,x^2}}{63}+\frac{73\,a^2\,c^4\,x^3\,\sqrt{1-a^2\,x^2}}{192}+\frac{22\,a^3\,c^4\,x^4\,\sqrt{1-a^2\,x^2}}{21}-\frac{43\,a^4\,c^4\,x^5\,\sqrt{1-a^2\,x^2}}{48}-\frac{8\,a^5\,c^4\,x^6\,\sqrt{1-a^2\,x^2}}{63}+\frac{3\,a^6\,c^4\,x^7\,\sqrt{1-a^2\,x^2}}{8}-\frac{a^7\,c^4\,x^8\,\sqrt{1-a^2\,x^2}}{9}","Not used",1,"(73*c^4*x*(1 - a^2*x^2)^(1/2))/128 + (55*c^4*asinh(x*(-a^2)^(1/2)))/(128*(-a^2)^(1/2)) + (29*c^4*(1 - a^2*x^2)^(1/2))/(63*a) - (80*a*c^4*x^2*(1 - a^2*x^2)^(1/2))/63 + (73*a^2*c^4*x^3*(1 - a^2*x^2)^(1/2))/192 + (22*a^3*c^4*x^4*(1 - a^2*x^2)^(1/2))/21 - (43*a^4*c^4*x^5*(1 - a^2*x^2)^(1/2))/48 - (8*a^5*c^4*x^6*(1 - a^2*x^2)^(1/2))/63 + (3*a^6*c^4*x^7*(1 - a^2*x^2)^(1/2))/8 - (a^7*c^4*x^8*(1 - a^2*x^2)^(1/2))/9","B"
1255,1,174,145,0.044512,"\text{Not used}","int(((c - a^2*c*x^2)^3*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{7\,c^3\,x\,\sqrt{1-a^2\,x^2}}{16}+\frac{9\,c^3\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{16\,\sqrt{-a^2}}+\frac{23\,c^3\,\sqrt{1-a^2\,x^2}}{35\,a}-\frac{41\,a\,c^3\,x^2\,\sqrt{1-a^2\,x^2}}{35}+\frac{5\,a^2\,c^3\,x^3\,\sqrt{1-a^2\,x^2}}{8}+\frac{13\,a^3\,c^3\,x^4\,\sqrt{1-a^2\,x^2}}{35}-\frac{a^4\,c^3\,x^5\,\sqrt{1-a^2\,x^2}}{2}+\frac{a^5\,c^3\,x^6\,\sqrt{1-a^2\,x^2}}{7}","Not used",1,"(7*c^3*x*(1 - a^2*x^2)^(1/2))/16 + (9*c^3*asinh(x*(-a^2)^(1/2)))/(16*(-a^2)^(1/2)) + (23*c^3*(1 - a^2*x^2)^(1/2))/(35*a) - (41*a*c^3*x^2*(1 - a^2*x^2)^(1/2))/35 + (5*a^2*c^3*x^3*(1 - a^2*x^2)^(1/2))/8 + (13*a^3*c^3*x^4*(1 - a^2*x^2)^(1/2))/35 - (a^4*c^3*x^5*(1 - a^2*x^2)^(1/2))/2 + (a^5*c^3*x^6*(1 - a^2*x^2)^(1/2))/7","B"
1256,1,128,123,0.036985,"\text{Not used}","int(((c - a^2*c*x^2)^2*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{c^2\,x\,\sqrt{1-a^2\,x^2}}{8}+\frac{7\,c^2\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{8\,\sqrt{-a^2}}+\frac{17\,c^2\,\sqrt{1-a^2\,x^2}}{15\,a}-\frac{14\,a\,c^2\,x^2\,\sqrt{1-a^2\,x^2}}{15}+\frac{3\,a^2\,c^2\,x^3\,\sqrt{1-a^2\,x^2}}{4}-\frac{a^3\,c^2\,x^4\,\sqrt{1-a^2\,x^2}}{5}","Not used",1,"(c^2*x*(1 - a^2*x^2)^(1/2))/8 + (7*c^2*asinh(x*(-a^2)^(1/2)))/(8*(-a^2)^(1/2)) + (17*c^2*(1 - a^2*x^2)^(1/2))/(15*a) - (14*a*c^2*x^2*(1 - a^2*x^2)^(1/2))/15 + (3*a^2*c^2*x^3*(1 - a^2*x^2)^(1/2))/4 - (a^3*c^2*x^4*(1 - a^2*x^2)^(1/2))/5","B"
1257,1,74,93,0.040047,"\text{Not used}","int(((c - a^2*c*x^2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\frac{11\,c\,\sqrt{1-a^2\,x^2}}{3\,a}-\frac{3\,c\,x\,\sqrt{1-a^2\,x^2}}{2}+\frac{5\,c\,\mathrm{asinh}\left(x\,\sqrt{-a^2}\right)}{2\,\sqrt{-a^2}}+\frac{a\,c\,x^2\,\sqrt{1-a^2\,x^2}}{3}","Not used",1,"(11*c*(1 - a^2*x^2)^(1/2))/(3*a) - (3*c*x*(1 - a^2*x^2)^(1/2))/2 + (5*c*asinh(x*(-a^2)^(1/2)))/(2*(-a^2)^(1/2)) + (a*c*x^2*(1 - a^2*x^2)^(1/2))/3","B"
1258,1,32,18,0.956091,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(a\,x-1\right)}{3\,a\,c\,{\left(a\,x+1\right)}^2}","Not used",1,"((1 - a^2*x^2)^(1/2)*(a*x - 1))/(3*a*c*(a*x + 1)^2)","B"
1259,1,125,94,0.060187,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^2*(a*x + 1)^3),x)","-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{a^3}{5\,c^2\,{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)}^3}-\frac{2\,a^3}{15\,c^2\,\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)}+\frac{2\,a^4}{15\,c^2\,{\left(x\,\sqrt{-a^2}+\frac{\sqrt{-a^2}}{a}\right)}^2\,\sqrt{-a^2}}\right)}{a^3\,\sqrt{-a^2}}","Not used",1,"-((1 - a^2*x^2)^(1/2)*(a^3/(5*c^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)^3) - (2*a^3)/(15*c^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)) + (2*a^4)/(15*c^2*(x*(-a^2)^(1/2) + (-a^2)^(1/2)/a)^2*(-a^2)^(1/2))))/(a^3*(-a^2)^(1/2))","B"
1260,1,125,116,1.154605,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^3*(a*x + 1)^3),x)","-\frac{29\,\sqrt{1-a^2\,x^2}}{280\,a\,c^3\,{\left(a\,x+1\right)}^2}-\frac{13\,\sqrt{1-a^2\,x^2}}{140\,a\,c^3\,{\left(a\,x+1\right)}^3}-\frac{\sqrt{1-a^2\,x^2}}{14\,a\,c^3\,{\left(a\,x+1\right)}^4}-\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{8\,x}{35\,c^3}-\frac{29}{280\,a\,c^3}\right)}{\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"- (29*(1 - a^2*x^2)^(1/2))/(280*a*c^3*(a*x + 1)^2) - (13*(1 - a^2*x^2)^(1/2))/(140*a*c^3*(a*x + 1)^3) - (1 - a^2*x^2)^(1/2)/(14*a*c^3*(a*x + 1)^4) - ((1 - a^2*x^2)^(1/2)*((8*x)/(35*c^3) - 29/(280*a*c^3)))/((a*x - 1)*(a*x + 1))","B"
1261,1,156,138,1.271935,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^4*(a*x + 1)^3),x)","\frac{\sqrt{1-a^2\,x^2}\,\left(\frac{197\,x}{1008\,c^4}-\frac{155}{1008\,a\,c^4}\right)}{{\left(a\,x-1\right)}^2\,{\left(a\,x+1\right)}^2}-\frac{13\,\sqrt{1-a^2\,x^2}}{252\,a\,c^4\,{\left(a\,x+1\right)}^4}-\frac{\sqrt{1-a^2\,x^2}}{36\,a\,c^4\,{\left(a\,x+1\right)}^5}-\frac{23\,\sqrt{1-a^2\,x^2}}{336\,a\,c^4\,{\left(a\,x+1\right)}^3}-\frac{16\,x\,\sqrt{1-a^2\,x^2}}{63\,c^4\,\left(a\,x-1\right)\,\left(a\,x+1\right)}","Not used",1,"((1 - a^2*x^2)^(1/2)*((197*x)/(1008*c^4) - 155/(1008*a*c^4)))/((a*x - 1)^2*(a*x + 1)^2) - (13*(1 - a^2*x^2)^(1/2))/(252*a*c^4*(a*x + 1)^4) - (1 - a^2*x^2)^(1/2)/(36*a*c^4*(a*x + 1)^5) - (23*(1 - a^2*x^2)^(1/2))/(336*a*c^4*(a*x + 1)^3) - (16*x*(1 - a^2*x^2)^(1/2))/(63*c^4*(a*x - 1)*(a*x + 1))","B"
1262,0,-1,225,0.000000,"\text{Not used}","int((x^3*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^3\,\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^3*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1263,0,-1,184,0.000000,"\text{Not used}","int((x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^2\,\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^2*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1264,0,-1,149,0.000000,"\text{Not used}","int((x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x\,\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1265,0,-1,110,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1266,0,-1,102,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x*(a*x + 1)^3), x)","F"
1267,0,-1,107,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^2*(a*x + 1)^3),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^2\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^2*(a*x + 1)^3), x)","F"
1268,0,-1,148,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^3*(a*x + 1)^3),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^3\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^3*(a*x + 1)^3), x)","F"
1269,0,-1,187,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^4*(a*x + 1)^3),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^4\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^4*(a*x + 1)^3), x)","F"
1270,0,-1,221,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^5*(a*x + 1)^3),x)","\int \frac{\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{x^5\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(x^5*(a*x + 1)^3), x)","F"
1271,0,-1,189,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{9/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(9/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1272,0,-1,142,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(7/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1273,0,-1,95,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(5/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1274,0,-1,45,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1275,0,-1,82,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{\sqrt{c-a^2\,c\,x^2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(1/2)*(a*x + 1)^3), x)","F"
1276,1,58,46,1.172815,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(3/2)*(a*x + 1)^3),x)","-\frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{2\,a^5\,c^2\,\left(\frac{2\,x}{a^3}+\frac{1}{a^4}-x^4-\frac{2\,x^3}{a}\right)}","Not used",1,"-((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(2*a^5*c^2*((2*x)/a^3 + 1/a^4 - x^4 - (2*x^3)/a))","B"
1277,0,-1,182,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-a^2\,c\,x^2\right)}^{5/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(5/2)*(a*x + 1)^3), x)","F"
1278,0,-1,275,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)^3),x)","\int \frac{{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(c-a^2\,c\,x^2\right)}^{7/2}\,{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)/((c - a^2*c*x^2)^(7/2)*(a*x + 1)^3), x)","F"
1279,0,-1,136,0.000000,"\text{Not used}","int((x^m*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{x^m\,\sqrt{c-a^2\,c\,x^2}\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int((x^m*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1280,0,-1,86,0.000000,"\text{Not used}","int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3,x)","\int \frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(1-a^2\,x^2\right)}^{3/2}}{{\left(a\,x+1\right)}^3} \,d x","Not used",1,"int(((c - a^2*c*x^2)^p*(1 - a^2*x^2)^(3/2))/(a*x + 1)^3, x)","F"
1281,0,-1,359,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(5/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int {\left(1-a^2\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((1 - a^2*x^2)^(5/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1282,0,-1,307,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(3/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int {\left(1-a^2\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((1 - a^2*x^2)^(3/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1283,0,-1,255,0.000000,"\text{Not used}","int((1 - a^2*x^2)^(1/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \sqrt{1-a^2\,x^2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((1 - a^2*x^2)^(1/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1284,0,-1,193,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(1/2),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(1/2), x)","F"
1285,1,69,37,1.074552,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(3/2),x)","-\frac{\left(\frac{2\,\sqrt{1-a^2\,x^2}}{3\,a^3}-\frac{4\,x\,\sqrt{1-a^2\,x^2}}{3\,a^2}\right)\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{\frac{1}{a^2}-x^2}","Not used",1,"-(((2*(1 - a^2*x^2)^(1/2))/(3*a^3) - (4*x*(1 - a^2*x^2)^(1/2))/(3*a^2))*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(1/a^2 - x^2)","B"
1286,1,115,75,1.148734,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(5/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{18\,\sqrt{1-a^2\,x^2}}{35\,a^5}-\frac{44\,x\,\sqrt{1-a^2\,x^2}}{35\,a^4}+\frac{32\,x^3\,\sqrt{1-a^2\,x^2}}{35\,a^2}-\frac{16\,x^2\,\sqrt{1-a^2\,x^2}}{35\,a^3}\right)}{\frac{1}{a^4}+x^4-\frac{2\,x^2}{a^2}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*((18*(1 - a^2*x^2)^(1/2))/(35*a^5) - (44*x*(1 - a^2*x^2)^(1/2))/(35*a^4) + (32*x^3*(1 - a^2*x^2)^(1/2))/(35*a^2) - (16*x^2*(1 - a^2*x^2)^(1/2))/(35*a^3)))/(1/a^4 + x^4 - (2*x^2)/a^2)","B"
1287,1,165,112,1.313771,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(7/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{302\,\sqrt{1-a^2\,x^2}}{693\,a^7}-\frac{844\,x\,\sqrt{1-a^2\,x^2}}{693\,a^6}-\frac{512\,x^5\,\sqrt{1-a^2\,x^2}}{693\,a^2}+\frac{256\,x^4\,\sqrt{1-a^2\,x^2}}{693\,a^3}+\frac{1216\,x^3\,\sqrt{1-a^2\,x^2}}{693\,a^4}-\frac{544\,x^2\,\sqrt{1-a^2\,x^2}}{693\,a^5}\right)}{\frac{1}{a^6}-x^6+\frac{3\,x^4}{a^2}-\frac{3\,x^2}{a^4}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*((302*(1 - a^2*x^2)^(1/2))/(693*a^7) - (844*x*(1 - a^2*x^2)^(1/2))/(693*a^6) - (512*x^5*(1 - a^2*x^2)^(1/2))/(693*a^2) + (256*x^4*(1 - a^2*x^2)^(1/2))/(693*a^3) + (1216*x^3*(1 - a^2*x^2)^(1/2))/(693*a^4) - (544*x^2*(1 - a^2*x^2)^(1/2))/(693*a^5)))/(1/a^6 - x^6 + (3*x^4)/a^2 - (3*x^2)/a^4)","B"
1288,1,211,149,1.459626,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(1 - a^2*x^2)^(9/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{2482\,\sqrt{1-a^2\,x^2}}{6435\,a^9}-\frac{7676\,x\,\sqrt{1-a^2\,x^2}}{6435\,a^8}+\frac{4096\,x^7\,\sqrt{1-a^2\,x^2}}{6435\,a^2}-\frac{2048\,x^6\,\sqrt{1-a^2\,x^2}}{6435\,a^3}-\frac{1536\,x^5\,\sqrt{1-a^2\,x^2}}{715\,a^4}+\frac{1280\,x^4\,\sqrt{1-a^2\,x^2}}{1287\,a^5}+\frac{3296\,x^3\,\sqrt{1-a^2\,x^2}}{1287\,a^6}-\frac{752\,x^2\,\sqrt{1-a^2\,x^2}}{715\,a^7}\right)}{\frac{1}{a^8}+x^8-\frac{4\,x^6}{a^2}+\frac{6\,x^4}{a^4}-\frac{4\,x^2}{a^6}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*((2482*(1 - a^2*x^2)^(1/2))/(6435*a^9) - (7676*x*(1 - a^2*x^2)^(1/2))/(6435*a^8) + (4096*x^7*(1 - a^2*x^2)^(1/2))/(6435*a^2) - (2048*x^6*(1 - a^2*x^2)^(1/2))/(6435*a^3) - (1536*x^5*(1 - a^2*x^2)^(1/2))/(715*a^4) + (1280*x^4*(1 - a^2*x^2)^(1/2))/(1287*a^5) + (3296*x^3*(1 - a^2*x^2)^(1/2))/(1287*a^6) - (752*x^2*(1 - a^2*x^2)^(1/2))/(715*a^7)))/(1/a^8 + x^8 - (4*x^6)/a^2 + (6*x^4)/a^4 - (4*x^2)/a^6)","B"
1289,0,-1,679,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(5/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{5/2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(5/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1290,0,-1,547,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(3/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int {\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(3/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1291,0,-1,429,0.000000,"\text{Not used}","int((c - a^2*c*x^2)^(1/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2),x)","\int \sqrt{c-a^2\,c\,x^2}\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}} \,d x","Not used",1,"int((c - a^2*c*x^2)^(1/2)*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2), x)","F"
1292,0,-1,309,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(1/2),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(1/2), x)","F"
1293,1,49,41,1.262274,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(3/2),x)","\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{4\,x}{3\,c}-\frac{2}{3\,a\,c}\right)}{\sqrt{c-a^2\,c\,x^2}}","Not used",1,"(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*((4*x)/(3*c) - 2/(3*a*c)))/(c - a^2*c*x^2)^(1/2)","B"
1294,1,97,83,1.331685,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(5/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{18}{35\,a^3\,c^2}+\frac{32\,x^3}{35\,c^2}-\frac{44\,x}{35\,a^2\,c^2}-\frac{16\,x^2}{35\,a\,c^2}\right)}{\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*(18/(35*a^3*c^2) + (32*x^3)/(35*c^2) - (44*x)/(35*a^2*c^2) - (16*x^2)/(35*a*c^2)))/((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2))","B"
1295,1,139,124,1.419533,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(7/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{302}{693\,a^5\,c^3}-\frac{512\,x^5}{693\,c^3}-\frac{844\,x}{693\,a^4\,c^3}+\frac{256\,x^4}{693\,a\,c^3}+\frac{1216\,x^3}{693\,a^2\,c^3}-\frac{544\,x^2}{693\,a^3\,c^3}\right)}{\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}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*(302/(693*a^5*c^3) - (512*x^5)/(693*c^3) - (844*x)/(693*a^4*c^3) + (256*x^4)/(693*a*c^3) + (1216*x^3)/(693*a^2*c^3) - (544*x^2)/(693*a^3*c^3)))/((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)","B"
1296,1,183,165,1.493960,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(9/2),x)","-\frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}\,\left(\frac{2482}{6435\,a^7\,c^4}+\frac{4096\,x^7}{6435\,c^4}-\frac{7676\,x}{6435\,a^6\,c^4}-\frac{2048\,x^6}{6435\,a\,c^4}-\frac{1536\,x^5}{715\,a^2\,c^4}+\frac{1280\,x^4}{1287\,a^3\,c^4}+\frac{3296\,x^3}{1287\,a^4\,c^4}-\frac{752\,x^2}{715\,a^5\,c^4}\right)}{\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}}","Not used",1,"-(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)*(2482/(6435*a^7*c^4) + (4096*x^7)/(6435*c^4) - (7676*x)/(6435*a^6*c^4) - (2048*x^6)/(6435*a*c^4) - (1536*x^5)/(715*a^2*c^4) + (1280*x^4)/(1287*a^3*c^4) + (3296*x^3)/(1287*a^4*c^4) - (752*x^2)/(715*a^5*c^4)))/((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"
1297,0,-1,201,0.000000,"\text{Not used}","int((x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4),x)","\int \frac{x^3\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int((x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4), x)","F"
1298,0,-1,153,0.000000,"\text{Not used}","int((x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4),x)","\int \frac{x^2\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int((x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4), x)","F"
1299,0,-1,105,0.000000,"\text{Not used}","int((x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4),x)","\int \frac{x\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int((x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(5/4), x)","F"
1300,0,-1,106,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(5/4),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(5/4), x)","F"
1301,0,-1,144,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x*(c - a^2*c*x^2)^(5/4)),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x\,{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x*(c - a^2*c*x^2)^(5/4)), x)","F"
1302,0,-1,196,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x^2*(c - a^2*c*x^2)^(5/4)),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{5/4}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x^2*(c - a^2*c*x^2)^(5/4)), x)","F"
1303,0,-1,200,0.000000,"\text{Not used}","int((x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(9/8),x)","\int \frac{x^3\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{9/8}} \,d x","Not used",1,"int((x^3*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(9/8), x)","F"
1304,1,52,41,1.257666,"\text{Not used}","int((x^2*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(9/8),x)","\frac{\left(\frac{8}{3\,a^3\,c}-\frac{4\,x}{3\,a^2\,c}\right)\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{1/8}}","Not used",1,"((8/(3*a^3*c) - (4*x)/(3*a^2*c))*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(1/8)","B"
1305,0,-1,133,0.000000,"\text{Not used}","int((x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(9/8),x)","\int \frac{x\,\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{9/8}} \,d x","Not used",1,"int((x*((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2))/(c - a^2*c*x^2)^(9/8), x)","F"
1306,0,-1,74,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(9/8),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{{\left(c-a^2\,c\,x^2\right)}^{9/8}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(c - a^2*c*x^2)^(9/8), x)","F"
1307,0,-1,73,0.000000,"\text{Not used}","int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x*(c - a^2*c*x^2)^(9/8)),x)","\int \frac{\sqrt{\frac{a\,x+1}{\sqrt{1-a^2\,x^2}}}}{x\,{\left(c-a^2\,c\,x^2\right)}^{9/8}} \,d x","Not used",1,"int(((a*x + 1)/(1 - a^2*x^2)^(1/2))^(1/2)/(x*(c - a^2*c*x^2)^(9/8)), x)","F"
1308,0,-1,68,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(c-a^2\,c\,x^2\right) \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2), x)","F"
1309,0,-1,70,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^2,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^2 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^2, x)","F"
1310,0,-1,70,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^3,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^3 \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^3, x)","F"
1311,0,-1,209,0.000000,"\text{Not used}","int((x^4*exp(n*atanh(a*x)))/(c - a^2*c*x^2),x)","\int \frac{x^4\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a^2\,c\,x^2} \,d x","Not used",1,"int((x^4*exp(n*atanh(a*x)))/(c - a^2*c*x^2), x)","F"
1312,0,-1,160,0.000000,"\text{Not used}","int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a^2\,c\,x^2} \,d x","Not used",1,"int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2), x)","F"
1313,0,-1,86,0.000000,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a^2\,c\,x^2} \,d x","Not used",1,"int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2), x)","F"
1314,0,-1,94,0.000000,"\text{Not used}","int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2),x)","\int \frac{x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a^2\,c\,x^2} \,d x","Not used",1,"int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2), x)","F"
1315,1,31,18,1.105876,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2),x)","\frac{{\left(a\,x+1\right)}^{n/2}}{a\,c\,n\,{\left(1-a\,x\right)}^{n/2}}","Not used",1,"(a*x + 1)^(n/2)/(a*c*n*(1 - a*x)^(n/2))","B"
1316,0,-1,90,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x\,\left(c-a^2\,c\,x^2\right)} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)), x)","F"
1317,0,-1,123,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2\,\left(c-a^2\,c\,x^2\right)} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)), x)","F"
1318,0,-1,376,0.000000,"\text{Not used}","int((x^4*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2,x)","\int \frac{x^4\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^2} \,d x","Not used",1,"int((x^4*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2, x)","F"
1319,0,-1,311,0.000000,"\text{Not used}","int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2,x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^2} \,d x","Not used",1,"int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2, x)","F"
1320,1,93,79,1.170018,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2,x)","\frac{{\left(a\,x+1\right)}^{n/2}\,\left(\frac{2}{a^5\,c^2\,n\,\left(n^2-4\right)}-\frac{2\,x}{a^4\,c^2\,\left(n^2-4\right)}+\frac{x^2\,\left(n^2-2\right)}{a^3\,c^2\,n\,\left(n^2-4\right)}\right)}{\left(\frac{1}{a^2}-x^2\right)\,{\left(1-a\,x\right)}^{n/2}}","Not used",1,"((a*x + 1)^(n/2)*(2/(a^5*c^2*n*(n^2 - 4)) - (2*x)/(a^4*c^2*(n^2 - 4)) + (x^2*(n^2 - 2))/(a^3*c^2*n*(n^2 - 4))))/((1/a^2 - x^2)*(1 - a*x)^(n/2))","B"
1321,1,46,69,1.419869,"\text{Not used}","int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2,x)","\frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(a^2\,x^2-n\,a\,x+1\right)}{a^2\,c^2\,\left(n^2-4\right)\,\left(a^2\,x^2-1\right)}","Not used",1,"(exp(n*atanh(a*x))*(a^2*x^2 - a*n*x + 1))/(a^2*c^2*(n^2 - 4)*(a^2*x^2 - 1))","B"
1322,1,93,72,1.214671,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^2,x)","\frac{{\left(a\,x+1\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(1-a\,x\right)}^{n/2}}","Not used",1,"((a*x + 1)^(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)*(1 - a*x)^(n/2))","B"
1323,0,-1,190,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x\,{\left(c-a^2\,c\,x^2\right)}^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^2), x)","F"
1324,0,-1,239,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2\,{\left(c-a^2\,c\,x^2\right)}^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^2), x)","F"
1325,1,179,127,1.388683,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^3,x)","\frac{{\left(a\,x+1\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(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)^(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))))/((1 - a*x)^(n/2)*(1/a^4 + x^4 - (2*x^2)/a^2))","B"
1326,1,301,197,1.372421,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^4,x)","\frac{{\left(a\,x+1\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(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)^(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))))/((1 - a*x)^(n/2)*(1/a^6 - x^6 + (3*x^4)/a^2 - (3*x^2)/a^4))","B"
1327,0,-1,256,0.000000,"\text{Not used}","int(x^3*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2),x)","\int x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2} \,d x","Not used",1,"int(x^3*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2), x)","F"
1328,0,-1,244,0.000000,"\text{Not used}","int(x^2*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2} \,d x","Not used",1,"int(x^2*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2), x)","F"
1329,0,-1,173,0.000000,"\text{Not used}","int(x*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2),x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2} \,d x","Not used",1,"int(x*exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2), x)","F"
1330,0,-1,104,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2), x)","F"
1331,0,-1,269,0.000000,"\text{Not used}","int((exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2))/x,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2}}{x} \,d x","Not used",1,"int((exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2))/x, x)","F"
1332,0,-1,268,0.000000,"\text{Not used}","int((exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2))/x^2,x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\sqrt{c-a^2\,c\,x^2}}{x^2} \,d x","Not used",1,"int((exp(n*atanh(a*x))*(c - a^2*c*x^2)^(1/2))/x^2, x)","F"
1333,0,-1,105,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^(3/2),x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^{3/2} \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^(3/2), x)","F"
1334,0,-1,275,0.000000,"\text{Not used}","int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2), x)","F"
1335,0,-1,253,0.000000,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2), x)","F"
1336,0,-1,176,0.000000,"\text{Not used}","int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(1/2), x)","F"
1337,0,-1,104,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^(1/2), x)","F"
1338,0,-1,101,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x\,\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(1/2)), x)","F"
1339,0,-1,167,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2\,\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(1/2)), x)","F"
1340,0,-1,242,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^3\,\sqrt{c-a^2\,c\,x^2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(1/2)), x)","F"
1341,0,-1,270,0.000000,"\text{Not used}","int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(3/2), x)","F"
1342,0,-1,153,0.000000,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(3/2), x)","F"
1343,1,68,46,1.076267,"\text{Not used}","int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(3/2),x)","-\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{2}}\,\left(\frac{1}{a^2\,c\,\left(n^2-1\right)}-\frac{n\,x}{a\,c\,\left(n^2-1\right)}\right)}{\sqrt{c-a^2\,c\,x^2}}","Not used",1,"-(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/2)*(1/(a^2*c*(n^2 - 1)) - (n*x)/(a*c*(n^2 - 1))))/(c - a^2*c*x^2)^(1/2)","B"
1344,1,65,46,1.101021,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^(3/2),x)","-\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{2}}\,\left(\frac{x}{c\,\left(n^2-1\right)}-\frac{n}{a\,c\,\left(n^2-1\right)}\right)}{\sqrt{c-a^2\,c\,x^2}}","Not used",1,"-(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/2)*(x/(c*(n^2 - 1)) - n/(a*c*(n^2 - 1))))/(c - a^2*c*x^2)^(1/2)","B"
1345,0,-1,243,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x\,{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(3/2)), x)","F"
1346,0,-1,321,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(3/2)), x)","F"
1347,0,-1,417,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{3/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(3/2)), x)","F"
1348,1,162,407,1.283094,"\text{Not used}","int((x^3*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\left(a\,x+1\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(1-a\,x\right)}^{n/2}\,\left(\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}\right)}","Not used",1,"-((a*x + 1)^(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))))/((1 - a*x)^(n/2)*((c - a^2*c*x^2)^(1/2)/a^2 - x^2*(c - a^2*c*x^2)^(1/2)))","B"
1349,1,162,102,1.227826,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(5/2),x)","\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{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)}{\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}}","Not used",1,"(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/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))","B"
1350,1,163,133,1.187948,"\text{Not used}","int((x*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{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)}{\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}}","Not used",1,"-(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/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))","B"
1351,1,160,102,1.207589,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^(5/2),x)","-\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{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)}{\frac{\sqrt{c-a^2\,c\,x^2}}{a^2}-x^2\,\sqrt{c-a^2\,c\,x^2}}","Not used",1,"-(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/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))","B"
1352,0,-1,417,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x\,{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x*(c - a^2*c*x^2)^(5/2)), x)","F"
1353,0,-1,507,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^2\,{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^2*(c - a^2*c*x^2)^(5/2)), x)","F"
1354,0,-1,623,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{x^3\,{\left(c-a^2\,c\,x^2\right)}^{5/2}} \,d x","Not used",1,"int(exp(n*atanh(a*x))/(x^3*(c - a^2*c*x^2)^(5/2)), x)","F"
1355,1,276,166,1.464033,"\text{Not used}","int(exp(n*atanh(a*x))/(c - a^2*c*x^2)^(7/2),x)","-\frac{{\left(a\,x+1\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(1-a\,x\right)}^{n/2}\,\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)}","Not used",1,"-((a*x + 1)^(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))))/((1 - a*x)^(n/2)*((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))","B"
1356,0,-1,42,0.000000,"\text{Not used}","int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2)^2,x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^2 \,d x","Not used",1,"int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2)^2, x)","F"
1357,0,-1,40,0.000000,"\text{Not used}","int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2),x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,\left(c-a^2\,c\,x^2\right) \,d x","Not used",1,"int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2), x)","F"
1358,0,-1,42,0.000000,"\text{Not used}","int((x^m*exp(n*atanh(a*x)))/(c - a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{c-a^2\,c\,x^2} \,d x","Not used",1,"int((x^m*exp(n*atanh(a*x)))/(c - a^2*c*x^2), x)","F"
1359,0,-1,42,0.000000,"\text{Not used}","int((x^m*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}}{{\left(c-a^2\,c\,x^2\right)}^2} \,d x","Not used",1,"int((x^m*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^2, x)","F"
1360,0,-1,70,0.000000,"\text{Not used}","int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2)^p,x)","\int x^m\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^p \,d x","Not used",1,"int(x^m*exp(n*atanh(a*x))*(c - a^2*c*x^2)^p, x)","F"
1361,0,-1,177,0.000000,"\text{Not used}","int(x*exp(n*atanh(a*x))*(c - a^2*c*x^2)^p,x)","\int x\,{\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^p \,d x","Not used",1,"int(x*exp(n*atanh(a*x))*(c - a^2*c*x^2)^p, x)","F"
1362,0,-1,103,0.000000,"\text{Not used}","int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^p,x)","\int {\mathrm{e}}^{n\,\mathrm{atanh}\left(a\,x\right)}\,{\left(c-a^2\,c\,x^2\right)}^p \,d x","Not used",1,"int(exp(n*atanh(a*x))*(c - a^2*c*x^2)^p, x)","F"
1363,1,84,41,1.115564,"\text{Not used}","int(exp(2*atanh(a*x)*(p + 1))/(1 - a^2*x^2)^p,x)","\frac{p\,{\left(a\,x+1\right)}^p-{\left(a\,x+1\right)}^p+a\,p\,x\,{\left(a\,x+1\right)}^p}{2\,a\,p^2\,{\left(1-a^2\,x^2\right)}^p\,{\left(1-a\,x\right)}^p-a\,p\,{\left(1-a^2\,x^2\right)}^p\,{\left(1-a\,x\right)}^p}","Not used",1,"(p*(a*x + 1)^p - (a*x + 1)^p + a*p*x*(a*x + 1)^p)/(2*a*p^2*(1 - a^2*x^2)^p*(1 - a*x)^p - a*p*(1 - a^2*x^2)^p*(1 - a*x)^p)","B"
1364,1,86,95,1.014979,"\text{Not used}","int(exp(2*atanh(a*x)*(p + 1))/(c - a^2*c*x^2)^p,x)","-\frac{p\,{\left(a\,x+1\right)}^p-{\left(a\,x+1\right)}^p+a\,p\,x\,{\left(a\,x+1\right)}^p}{a\,p\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(1-a\,x\right)}^p-2\,a\,p^2\,{\left(c-a^2\,c\,x^2\right)}^p\,{\left(1-a\,x\right)}^p}","Not used",1,"-(p*(a*x + 1)^p - (a*x + 1)^p + a*p*x*(a*x + 1)^p)/(a*p*(c - a^2*c*x^2)^p*(1 - a*x)^p - 2*a*p^2*(c - a^2*c*x^2)^p*(1 - a*x)^p)","B"
1365,1,43,49,1.061750,"\text{Not used}","int(exp(2*p*atanh(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)}^{p+1}}{a\,\left(2\,p+1\right)\,{\left(1-a\,x\right)}^p}","Not used",1,"((c - a^2*c*x^2)^p*(a*x + 1)^(p + 1))/(a*(2*p + 1)*(1 - a*x)^p)","B"
1366,1,44,51,1.015849,"\text{Not used}","int(exp(-2*p*atanh(a*x))*(c - a^2*c*x^2)^p,x)","-\frac{{\left(c-a^2\,c\,x^2\right)}^p\,{\left(1-a\,x\right)}^{p+1}}{a\,\left(2\,p+1\right)\,{\left(a\,x+1\right)}^p}","Not used",1,"-((c - a^2*c*x^2)^p*(1 - a*x)^(p + 1))/(a*(2*p + 1)*(a*x + 1)^p)","B"
1367,1,101,53,1.087490,"\text{Not used}","int((x^2*exp(n*atanh(a*x)))/(c - a^2*c*x^2)^(n^2/2 + 1),x)","\frac{{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{2}}-a\,n\,x\,{\mathrm{e}}^{\frac{n\,\ln\left(a\,x+1\right)}{2}-\frac{n\,\ln\left(1-a\,x\right)}{2}}}{a^3\,c\,n\,{\left(c-a^2\,c\,x^2\right)}^{\frac{n^2}{2}}-a^3\,c\,n^3\,{\left(c-a^2\,c\,x^2\right)}^{\frac{n^2}{2}}}","Not used",1,"(exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/2) - a*n*x*exp((n*log(a*x + 1))/2 - (n*log(1 - a*x))/2))/(a^3*c*n*(c - a^2*c*x^2)^(n^2/2) - a^3*c*n^3*(c - a^2*c*x^2)^(n^2/2))","B"
1368,-1,-1,31,0.000000,"\text{Not used}","int(-(x^2*(a*x + 1)^6)/((c - a^2*c*x^2)^19*(a^2*x^2 - 1)^3),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
1369,1,28,31,1.511932,"\text{Not used}","int((x^2*(a*x + 1)^4)/((c - a^2*c*x^2)^9*(a^2*x^2 - 1)^2),x)","\frac{4\,a\,x-1}{60\,a^3\,c^9\,{\left(a\,x-1\right)}^{10}\,{\left(a\,x+1\right)}^6}","Not used",1,"(4*a*x - 1)/(60*a^3*c^9*(a*x - 1)^10*(a*x + 1)^6)","B"
1370,1,28,31,0.096643,"\text{Not used}","int(-(x^2*(a*x + 1)^2)/((c - a^2*c*x^2)^3*(a^2*x^2 - 1)),x)","-\frac{2\,a\,x-1}{6\,a^3\,c^3\,{\left(a\,x-1\right)}^3\,\left(a\,x+1\right)}","Not used",1,"-(2*a*x - 1)/(6*a^3*c^3*(a*x - 1)^3*(a*x + 1))","B"
1371,1,28,31,0.113695,"\text{Not used}","int(-(x^2*(a^2*x^2 - 1))/((c - a^2*c*x^2)^3*(a*x + 1)^2),x)","-\frac{2\,a\,x+1}{6\,a^3\,c^3\,\left(a\,x-1\right)\,{\left(a\,x+1\right)}^3}","Not used",1,"-(2*a*x + 1)/(6*a^3*c^3*(a*x - 1)*(a*x + 1)^3)","B"
1372,1,28,31,2.540864,"\text{Not used}","int((x^2*(a^2*x^2 - 1)^2)/((c - a^2*c*x^2)^9*(a*x + 1)^4),x)","\frac{4\,a\,x+1}{60\,a^3\,c^9\,{\left(a\,x-1\right)}^6\,{\left(a\,x+1\right)}^{10}}","Not used",1,"(4*a*x + 1)/(60*a^3*c^9*(a*x - 1)^6*(a*x + 1)^10)","B"
1373,1,583,60,2.396301,"\text{Not used}","int((x^2*(a*x + 1)^5)/((c - a^2*c*x^2)^(27/2)*(1 - a^2*x^2)^(5/2)),x)","-\frac{\sqrt{c-a^2\,c\,x^2}-5\,a\,x\,\sqrt{c-a^2\,c\,x^2}}{120\,a^3\,c^{14}\,\sqrt{1-a^2\,x^2}-600\,a^4\,c^{14}\,x\,\sqrt{1-a^2\,x^2}+4800\,a^6\,c^{14}\,x^3\,\sqrt{1-a^2\,x^2}-6000\,a^7\,c^{14}\,x^4\,\sqrt{1-a^2\,x^2}-15120\,a^8\,c^{14}\,x^5\,\sqrt{1-a^2\,x^2}+33600\,a^9\,c^{14}\,x^6\,\sqrt{1-a^2\,x^2}+19200\,a^{10}\,c^{14}\,x^7\,\sqrt{1-a^2\,x^2}-91800\,a^{11}\,c^{14}\,x^8\,\sqrt{1-a^2\,x^2}+12600\,a^{12}\,c^{14}\,x^9\,\sqrt{1-a^2\,x^2}+149760\,a^{13}\,c^{14}\,x^{10}\,\sqrt{1-a^2\,x^2}-86400\,a^{14}\,c^{14}\,x^{11}\,\sqrt{1-a^2\,x^2}-151200\,a^{15}\,c^{14}\,x^{12}\,\sqrt{1-a^2\,x^2}+151200\,a^{16}\,c^{14}\,x^{13}\,\sqrt{1-a^2\,x^2}+86400\,a^{17}\,c^{14}\,x^{14}\,\sqrt{1-a^2\,x^2}-149760\,a^{18}\,c^{14}\,x^{15}\,\sqrt{1-a^2\,x^2}-12600\,a^{19}\,c^{14}\,x^{16}\,\sqrt{1-a^2\,x^2}+91800\,a^{20}\,c^{14}\,x^{17}\,\sqrt{1-a^2\,x^2}-19200\,a^{21}\,c^{14}\,x^{18}\,\sqrt{1-a^2\,x^2}-33600\,a^{22}\,c^{14}\,x^{19}\,\sqrt{1-a^2\,x^2}+15120\,a^{23}\,c^{14}\,x^{20}\,\sqrt{1-a^2\,x^2}+6000\,a^{24}\,c^{14}\,x^{21}\,\sqrt{1-a^2\,x^2}-4800\,a^{25}\,c^{14}\,x^{22}\,\sqrt{1-a^2\,x^2}+600\,a^{27}\,c^{14}\,x^{24}\,\sqrt{1-a^2\,x^2}-120\,a^{28}\,c^{14}\,x^{25}\,\sqrt{1-a^2\,x^2}}","Not used",1,"-((c - a^2*c*x^2)^(1/2) - 5*a*x*(c - a^2*c*x^2)^(1/2))/(120*a^3*c^14*(1 - a^2*x^2)^(1/2) - 600*a^4*c^14*x*(1 - a^2*x^2)^(1/2) + 4800*a^6*c^14*x^3*(1 - a^2*x^2)^(1/2) - 6000*a^7*c^14*x^4*(1 - a^2*x^2)^(1/2) - 15120*a^8*c^14*x^5*(1 - a^2*x^2)^(1/2) + 33600*a^9*c^14*x^6*(1 - a^2*x^2)^(1/2) + 19200*a^10*c^14*x^7*(1 - a^2*x^2)^(1/2) - 91800*a^11*c^14*x^8*(1 - a^2*x^2)^(1/2) + 12600*a^12*c^14*x^9*(1 - a^2*x^2)^(1/2) + 149760*a^13*c^14*x^10*(1 - a^2*x^2)^(1/2) - 86400*a^14*c^14*x^11*(1 - a^2*x^2)^(1/2) - 151200*a^15*c^14*x^12*(1 - a^2*x^2)^(1/2) + 151200*a^16*c^14*x^13*(1 - a^2*x^2)^(1/2) + 86400*a^17*c^14*x^14*(1 - a^2*x^2)^(1/2) - 149760*a^18*c^14*x^15*(1 - a^2*x^2)^(1/2) - 12600*a^19*c^14*x^16*(1 - a^2*x^2)^(1/2) + 91800*a^20*c^14*x^17*(1 - a^2*x^2)^(1/2) - 19200*a^21*c^14*x^18*(1 - a^2*x^2)^(1/2) - 33600*a^22*c^14*x^19*(1 - a^2*x^2)^(1/2) + 15120*a^23*c^14*x^20*(1 - a^2*x^2)^(1/2) + 6000*a^24*c^14*x^21*(1 - a^2*x^2)^(1/2) - 4800*a^25*c^14*x^22*(1 - a^2*x^2)^(1/2) + 600*a^27*c^14*x^24*(1 - a^2*x^2)^(1/2) - 120*a^28*c^14*x^25*(1 - a^2*x^2)^(1/2))","B"
1374,1,186,60,1.577673,"\text{Not used}","int((x^2*(a*x + 1)^3)/((c - a^2*c*x^2)^(11/2)*(1 - a^2*x^2)^(3/2)),x)","-\frac{\sqrt{c-a^2\,c\,x^2}\,\left(\frac{1}{24\,a^{12}\,c^6}-\frac{x}{8\,a^{11}\,c^6}\right)}{\frac{\sqrt{1-a^2\,x^2}}{a^9}+x^9\,\sqrt{1-a^2\,x^2}-\frac{3\,x\,\sqrt{1-a^2\,x^2}}{a^8}-\frac{3\,x^8\,\sqrt{1-a^2\,x^2}}{a}+\frac{8\,x^6\,\sqrt{1-a^2\,x^2}}{a^3}-\frac{6\,x^5\,\sqrt{1-a^2\,x^2}}{a^4}-\frac{6\,x^4\,\sqrt{1-a^2\,x^2}}{a^5}+\frac{8\,x^3\,\sqrt{1-a^2\,x^2}}{a^6}}","Not used",1,"-((c - a^2*c*x^2)^(1/2)*(1/(24*a^12*c^6) - x/(8*a^11*c^6)))/((1 - a^2*x^2)^(1/2)/a^9 + x^9*(1 - a^2*x^2)^(1/2) - (3*x*(1 - a^2*x^2)^(1/2))/a^8 - (3*x^8*(1 - a^2*x^2)^(1/2))/a + (8*x^6*(1 - a^2*x^2)^(1/2))/a^3 - (6*x^5*(1 - a^2*x^2)^(1/2))/a^4 - (6*x^4*(1 - a^2*x^2)^(1/2))/a^5 + (8*x^3*(1 - a^2*x^2)^(1/2))/a^6)","B"
1375,0,-1,139,0.000000,"\text{Not used}","int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)),x)","\int \frac{x^2\,\left(a\,x+1\right)}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\sqrt{1-a^2\,x^2}} \,d x","Not used",1,"int((x^2*(a*x + 1))/((c - a^2*c*x^2)^(3/2)*(1 - a^2*x^2)^(1/2)), x)","F"
1376,0,-1,138,0.000000,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(1/2))/((c - a^2*c*x^2)^(3/2)*(a*x + 1)),x)","\int \frac{x^2\,\sqrt{1-a^2\,x^2}}{{\left(c-a^2\,c\,x^2\right)}^{3/2}\,\left(a\,x+1\right)} \,d x","Not used",1,"int((x^2*(1 - a^2*x^2)^(1/2))/((c - a^2*c*x^2)^(3/2)*(a*x + 1)), x)","F"
1377,1,187,60,1.538418,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(3/2))/((c - a^2*c*x^2)^(11/2)*(a*x + 1)^3),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}+3\,a\,x\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{24\,a^{14}\,c^6\,x^{11}+72\,a^{13}\,c^6\,x^{10}-24\,a^{12}\,c^6\,x^9-264\,a^{11}\,c^6\,x^8-144\,a^{10}\,c^6\,x^7+336\,a^9\,c^6\,x^6+336\,a^8\,c^6\,x^5-144\,a^7\,c^6\,x^4-264\,a^6\,c^6\,x^3-24\,a^5\,c^6\,x^2+72\,a^4\,c^6\,x+24\,a^3\,c^6}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2) + 3*a*x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(24*a^3*c^6 + 72*a^4*c^6*x - 24*a^5*c^6*x^2 - 264*a^6*c^6*x^3 - 144*a^7*c^6*x^4 + 336*a^8*c^6*x^5 + 336*a^9*c^6*x^6 - 144*a^10*c^6*x^7 - 264*a^11*c^6*x^8 - 24*a^12*c^6*x^9 + 72*a^13*c^6*x^10 + 24*a^14*c^6*x^11)","B"
1378,1,363,60,2.216278,"\text{Not used}","int((x^2*(1 - a^2*x^2)^(5/2))/((c - a^2*c*x^2)^(27/2)*(a*x + 1)^5),x)","\frac{\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}+5\,a\,x\,\sqrt{c-a^2\,c\,x^2}\,\sqrt{1-a^2\,x^2}}{-120\,a^{30}\,c^{14}\,x^{27}-600\,a^{29}\,c^{14}\,x^{26}+120\,a^{28}\,c^{14}\,x^{25}+5400\,a^{27}\,c^{14}\,x^{24}+6000\,a^{26}\,c^{14}\,x^{23}-19920\,a^{25}\,c^{14}\,x^{22}-39600\,a^{24}\,c^{14}\,x^{21}+34320\,a^{23}\,c^{14}\,x^{20}+125400\,a^{22}\,c^{14}\,x^{19}-6600\,a^{21}\,c^{14}\,x^{18}-241560\,a^{20}\,c^{14}\,x^{17}-99000\,a^{19}\,c^{14}\,x^{16}+300960\,a^{18}\,c^{14}\,x^{15}+237600\,a^{17}\,c^{14}\,x^{14}-237600\,a^{16}\,c^{14}\,x^{13}-300960\,a^{15}\,c^{14}\,x^{12}+99000\,a^{14}\,c^{14}\,x^{11}+241560\,a^{13}\,c^{14}\,x^{10}+6600\,a^{12}\,c^{14}\,x^9-125400\,a^{11}\,c^{14}\,x^8-34320\,a^{10}\,c^{14}\,x^7+39600\,a^9\,c^{14}\,x^6+19920\,a^8\,c^{14}\,x^5-6000\,a^7\,c^{14}\,x^4-5400\,a^6\,c^{14}\,x^3-120\,a^5\,c^{14}\,x^2+600\,a^4\,c^{14}\,x+120\,a^3\,c^{14}}","Not used",1,"((c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2) + 5*a*x*(c - a^2*c*x^2)^(1/2)*(1 - a^2*x^2)^(1/2))/(120*a^3*c^14 + 600*a^4*c^14*x - 120*a^5*c^14*x^2 - 5400*a^6*c^14*x^3 - 6000*a^7*c^14*x^4 + 19920*a^8*c^14*x^5 + 39600*a^9*c^14*x^6 - 34320*a^10*c^14*x^7 - 125400*a^11*c^14*x^8 + 6600*a^12*c^14*x^9 + 241560*a^13*c^14*x^10 + 99000*a^14*c^14*x^11 - 300960*a^15*c^14*x^12 - 237600*a^16*c^14*x^13 + 237600*a^17*c^14*x^14 + 300960*a^18*c^14*x^15 - 99000*a^19*c^14*x^16 - 241560*a^20*c^14*x^17 - 6600*a^21*c^14*x^18 + 125400*a^22*c^14*x^19 + 34320*a^23*c^14*x^20 - 39600*a^24*c^14*x^21 - 19920*a^25*c^14*x^22 + 6000*a^26*c^14*x^23 + 5400*a^27*c^14*x^24 + 120*a^28*c^14*x^25 - 600*a^29*c^14*x^26 - 120*a^30*c^14*x^27)","B"