1,1,109,117,0.738897,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + c*d*x*1i),x)","-\frac{\frac{d\,\left(15\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,6{}\mathrm{i}\right)}{60}-\frac{b\,c\,d\,x}{4}+\frac{b\,c^3\,d\,x^3}{12}-\frac{b\,c^2\,d\,x^2\,1{}\mathrm{i}}{10}}{c^4}+\frac{d\,\left(15\,a\,x^4+15\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,3{}\mathrm{i}\right)}{60}+\frac{c\,d\,\left(a\,x^5\,12{}\mathrm{i}+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,12{}\mathrm{i}\right)}{60}","Not used",1,"(d*(15*a*x^4 - b*x^4*3i + 15*b*x^4*atan(c*x)))/60 - ((d*(15*b*atan(c*x) + b*log(c^2*x^2 + 1)*6i))/60 - (b*c*d*x)/4 - (b*c^2*d*x^2*1i)/10 + (b*c^3*d*x^3)/12)/c^4 + (c*d*(a*x^5*12i + b*x^5*atan(c*x)*12i))/60","B"
2,1,99,105,0.710509,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + c*d*x*1i),x)","-\frac{\frac{d\,\left(-2\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,3{}\mathrm{i}\right)}{12}+\frac{b\,c^2\,d\,x^2}{6}-\frac{b\,c\,d\,x\,1{}\mathrm{i}}{4}}{c^3}+\frac{d\,\left(4\,a\,x^3+4\,b\,x^3\,\mathrm{atan}\left(c\,x\right)-b\,x^3\,1{}\mathrm{i}\right)}{12}+\frac{c\,d\,\left(a\,x^4\,3{}\mathrm{i}+b\,x^4\,\mathrm{atan}\left(c\,x\right)\,3{}\mathrm{i}\right)}{12}","Not used",1,"(d*(4*a*x^3 - b*x^3*1i + 4*b*x^3*atan(c*x)))/12 - ((d*(b*atan(c*x)*3i - 2*b*log(c^2*x^2 + 1)))/12 - (b*c*d*x*1i)/4 + (b*c^2*d*x^2)/6)/c^3 + (c*d*(a*x^4*3i + b*x^4*atan(c*x)*3i))/12","B"
3,1,87,91,0.382025,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + c*d*x*1i),x)","\frac{d\,\left(3\,a\,x^2+3\,b\,x^2\,\mathrm{atan}\left(c\,x\right)-b\,x^2\,1{}\mathrm{i}\right)}{6}+\frac{\frac{d\,\left(3\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,1{}\mathrm{i}\right)}{6}-\frac{b\,c\,d\,x}{2}}{c^2}+\frac{c\,d\,\left(a\,x^3\,2{}\mathrm{i}+b\,x^3\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}\right)}{6}","Not used",1,"(d*(3*a*x^2 - b*x^2*1i + 3*b*x^2*atan(c*x)))/6 + ((d*(3*b*atan(c*x) + b*log(c^2*x^2 + 1)*1i))/6 - (b*c*d*x)/2)/c^2 + (c*d*(a*x^3*2i + b*x^3*atan(c*x)*2i))/6","B"
4,1,73,53,0.324102,"\text{Not used}","int((a + b*atan(c*x))*(d + c*d*x*1i),x)","\frac{d\,\left(2\,a\,x+2\,b\,x\,\mathrm{atan}\left(c\,x\right)-b\,x\,1{}\mathrm{i}\right)}{2}+\frac{c\,d\,\left(a\,x^2\,1{}\mathrm{i}+b\,x^2\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}\right)}{2}+\frac{d\,\left(-b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}\right)}{2\,c}","Not used",1,"(d*(2*a*x - b*x*1i + 2*b*x*atan(c*x)))/2 + (c*d*(a*x^2*1i + b*x^2*atan(c*x)*1i))/2 + (d*(b*atan(c*x)*1i - b*log(c^2*x^2 + 1)))/(2*c)","B"
5,1,63,76,0.617821,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i))/x,x)","-\frac{b\,d\,\left(\ln\left(c^2\,x^2+1\right)\,1{}\mathrm{i}-c\,x\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}\right)}{2}+a\,d\,\left(\ln\left(x\right)+c\,x\,1{}\mathrm{i}\right)-\frac{b\,d\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2}","Not used",1,"a*d*(log(x) + c*x*1i) - (b*d*(log(c^2*x^2 + 1)*1i - c*x*atan(c*x)*2i))/2 - (b*d*(dilog(1 - c*x*1i) - dilog(c*x*1i + 1))*1i)/2","B"
6,1,93,77,0.859343,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i))/x^2,x)","\left\{\begin{array}{cl} -\frac{a\,d}{x} & \text{\ if\ \ }c=0\\ \frac{b\,d\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)}{c}+\frac{b\,c\,d\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)}{2}+\frac{a\,d\,\left(-1+c\,x\,\ln\left(x\right)\,1{}\mathrm{i}\right)}{x}-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{x} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d)/x, c ~= 0, (b*d*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2))/c + (b*c*d*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)))/2 + (a*d*(c*x*log(x)*1i - 1))/x - (b*d*atan(c*x))/x)","B"
7,1,79,65,0.540794,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i))/x^3,x)","-\frac{\frac{d\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{2}+\frac{d\,x\,\left(a\,c\,2{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}\right)}{2}}{x^2}-\frac{d\,\left(b\,c^2\,\mathrm{atan}\left(c\,x\right)+b\,c^2\,\ln\left(c^2\,x^2+1\right)\,1{}\mathrm{i}-b\,c^2\,\ln\left(x\right)\,2{}\mathrm{i}\right)}{2}","Not used",1,"- ((d*(a + b*atan(c*x)))/2 + (d*x*(a*c*2i + b*c + b*c*atan(c*x)*2i))/2)/x^2 - (d*(b*c^2*atan(c*x) + b*c^2*log(c^2*x^2 + 1)*1i - b*c^2*log(x)*2i))/2","B"
8,1,176,106,0.883365,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i))/x^4,x)","\frac{b\,c^3\,d\,\ln\left(c^2\,x^2+1\right)}{6}-\frac{\frac{a\,d}{3}-x^5\,\left(\frac{b\,c^5\,d}{6}+\frac{a\,c^5\,d\,1{}\mathrm{i}}{2}\right)+\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{c\,d\,x\,\left(b+a\,3{}\mathrm{i}\right)}{6}+\frac{c^2\,d\,x^2\,\left(2\,a+b\,3{}\mathrm{i}\right)}{6}+\frac{b\,c^4\,d\,x^4\,1{}\mathrm{i}}{2}+\frac{b\,c^2\,d\,x^2\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,c^3\,d\,x^3\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{2}+\frac{b\,c\,d\,x\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{2}}{c^2\,x^5+x^3}-\frac{b\,c^3\,d\,\ln\left(x\right)}{3}-\frac{b\,d\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,{\left(c^2\right)}^{3/2}\,1{}\mathrm{i}}{2}","Not used",1,"(b*c^3*d*log(c^2*x^2 + 1))/6 - (b*d*atan((c^2*x)/(c^2)^(1/2))*(c^2)^(3/2)*1i)/2 - ((a*d)/3 - x^5*((a*c^5*d*1i)/2 + (b*c^5*d)/6) + (b*d*atan(c*x))/3 + (c*d*x*(a*3i + b))/6 + (c^2*d*x^2*(2*a + b*3i))/6 + (b*c^4*d*x^4*1i)/2 + (b*c^2*d*x^2*atan(c*x))/3 + (b*c^3*d*x^3*atan(c*x)*1i)/2 + (b*c*d*x*atan(c*x)*1i)/2)/(x^3 + c^2*x^5) - (b*c^3*d*log(x))/3","B"
9,1,116,124,0.580446,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i))/x^5,x)","\frac{d\,\left(\frac{3\,b\,c^7\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)}{{\left(c^2\right)}^{3/2}}+b\,c^4\,\ln\left(c^2\,x^2+1\right)\,2{}\mathrm{i}-b\,c^4\,\ln\left(x\right)\,4{}\mathrm{i}\right)}{12}-\frac{\frac{d\,\left(3\,a+3\,b\,\mathrm{atan}\left(c\,x\right)\right)}{12}+\frac{d\,x\,\left(a\,c\,4{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}\right)}{12}-\frac{b\,c^3\,d\,x^3}{4}+\frac{b\,c^2\,d\,x^2\,1{}\mathrm{i}}{6}}{x^4}","Not used",1,"(d*(b*c^4*log(c^2*x^2 + 1)*2i - b*c^4*log(x)*4i + (3*b*c^7*atan((c^2*x)/(c^2)^(1/2)))/(c^2)^(3/2)))/12 - ((d*(3*a + 3*b*atan(c*x)))/12 + (d*x*(a*c*4i + b*c + b*c*atan(c*x)*4i))/12 + (b*c^2*d*x^2*1i)/6 - (b*c^3*d*x^3)/4)/x^4","B"
10,1,152,166,0.756310,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + c*d*x*1i)^2,x)","-\frac{\frac{d^2\,\left(75\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,36{}\mathrm{i}\right)}{180}+\frac{5\,b\,c^3\,d^2\,x^3}{36}-\frac{5\,b\,c\,d^2\,x}{12}-\frac{b\,c^2\,d^2\,x^2\,1{}\mathrm{i}}{5}}{c^4}+\frac{d^2\,\left(45\,a\,x^4+45\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,18{}\mathrm{i}\right)}{180}-\frac{c^2\,d^2\,\left(30\,a\,x^6+30\,b\,x^6\,\mathrm{atan}\left(c\,x\right)\right)}{180}+\frac{c\,d^2\,\left(a\,x^5\,72{}\mathrm{i}+6\,b\,x^5+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,72{}\mathrm{i}\right)}{180}","Not used",1,"(d^2*(45*a*x^4 - b*x^4*18i + 45*b*x^4*atan(c*x)))/180 - ((d^2*(75*b*atan(c*x) + b*log(c^2*x^2 + 1)*36i))/180 - (b*c^2*d^2*x^2*1i)/5 + (5*b*c^3*d^2*x^3)/36 - (5*b*c*d^2*x)/12)/c^4 - (c^2*d^2*(30*a*x^6 + 30*b*x^6*atan(c*x)))/180 + (c*d^2*(a*x^5*72i + 6*b*x^5 + b*x^5*atan(c*x)*72i))/180","B"
11,1,140,152,0.739796,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + c*d*x*1i)^2,x)","-\frac{\frac{d^2\,\left(-16\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,30{}\mathrm{i}\right)}{60}+\frac{4\,b\,c^2\,d^2\,x^2}{15}-\frac{b\,c\,d^2\,x\,1{}\mathrm{i}}{2}}{c^3}+\frac{d^2\,\left(20\,a\,x^3+20\,b\,x^3\,\mathrm{atan}\left(c\,x\right)-b\,x^3\,10{}\mathrm{i}\right)}{60}-\frac{c^2\,d^2\,\left(12\,a\,x^5+12\,b\,x^5\,\mathrm{atan}\left(c\,x\right)\right)}{60}+\frac{c\,d^2\,\left(a\,x^4\,30{}\mathrm{i}+3\,b\,x^4+b\,x^4\,\mathrm{atan}\left(c\,x\right)\,30{}\mathrm{i}\right)}{60}","Not used",1,"(d^2*(20*a*x^3 - b*x^3*10i + 20*b*x^3*atan(c*x)))/60 - ((d^2*(b*atan(c*x)*30i - 16*b*log(c^2*x^2 + 1)))/60 + (4*b*c^2*d^2*x^2)/15 - (b*c*d^2*x*1i)/2)/c^3 - (c^2*d^2*(12*a*x^5 + 12*b*x^5*atan(c*x)))/60 + (c*d^2*(a*x^4*30i + 3*b*x^4 + b*x^4*atan(c*x)*30i))/60","B"
12,1,125,136,0.683279,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + c*d*x*1i)^2,x)","\frac{\frac{d^2\,\left(9\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,4{}\mathrm{i}\right)}{12}-\frac{3\,b\,c\,d^2\,x}{4}}{c^2}+\frac{d^2\,\left(6\,a\,x^2+6\,b\,x^2\,\mathrm{atan}\left(c\,x\right)-b\,x^2\,4{}\mathrm{i}\right)}{12}-\frac{c^2\,d^2\,\left(3\,a\,x^4+3\,b\,x^4\,\mathrm{atan}\left(c\,x\right)\right)}{12}+\frac{c\,d^2\,\left(a\,x^3\,8{}\mathrm{i}+b\,x^3+b\,x^3\,\mathrm{atan}\left(c\,x\right)\,8{}\mathrm{i}\right)}{12}","Not used",1,"((d^2*(9*b*atan(c*x) + b*log(c^2*x^2 + 1)*4i))/12 - (3*b*c*d^2*x)/4)/c^2 + (d^2*(6*a*x^2 - b*x^2*4i + 6*b*x^2*atan(c*x)))/12 - (c^2*d^2*(3*a*x^4 + 3*b*x^4*atan(c*x)))/12 + (c*d^2*(a*x^3*8i + b*x^3 + b*x^3*atan(c*x)*8i))/12","B"
13,1,109,83,0.398990,"\text{Not used}","int((a + b*atan(c*x))*(d + c*d*x*1i)^2,x)","\frac{d^2\,\left(6\,a\,x+6\,b\,x\,\mathrm{atan}\left(c\,x\right)-b\,x\,6{}\mathrm{i}\right)}{6}-\frac{c^2\,d^2\,\left(2\,a\,x^3+2\,b\,x^3\,\mathrm{atan}\left(c\,x\right)\right)}{6}+\frac{d^2\,\left(-4\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,6{}\mathrm{i}\right)}{6\,c}+\frac{c\,d^2\,\left(a\,x^2\,6{}\mathrm{i}+b\,x^2+b\,x^2\,\mathrm{atan}\left(c\,x\right)\,6{}\mathrm{i}\right)}{6}","Not used",1,"(d^2*(6*a*x - b*x*6i + 6*b*x*atan(c*x)))/6 - (c^2*d^2*(2*a*x^3 + 2*b*x^3*atan(c*x)))/6 + (d^2*(b*atan(c*x)*6i - 4*b*log(c^2*x^2 + 1)))/(6*c) + (c*d^2*(a*x^2*6i + b*x^2 + b*x^2*atan(c*x)*6i))/6","B"
14,1,131,129,0.725133,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x,x)","\left\{\begin{array}{cl} a\,d^2\,\ln\left(x\right) & \text{\ if\ \ }c=0\\ \frac{b\,c\,d^2\,x}{2}+\frac{a\,d^2\,\left(2\,\ln\left(x\right)-c^2\,x^2+c\,x\,4{}\mathrm{i}\right)}{2}-\frac{b\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-b\,d^2\,\ln\left(c^2\,x^2+1\right)\,1{}\mathrm{i}-b\,c^2\,d^2\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)+b\,c\,d^2\,x\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, a*d^2*log(x), c ~= 0, - b*d^2*log(c^2*x^2 + 1)*1i + (a*d^2*(2*log(x) + c*x*4i - c^2*x^2))/2 - (b*d^2*dilog(- c*x*1i + 1)*1i)/2 + (b*d^2*dilog(c*x*1i + 1)*1i)/2 + (b*c*d^2*x)/2 - b*c^2*d^2*atan(c*x)*(1/(2*c^2) + x^2/2) + b*c*d^2*x*atan(c*x)*2i)","B"
15,1,141,89,0.602581,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x^2,x)","\left\{\begin{array}{cl} -\frac{a\,d^2}{x} & \text{\ if\ \ }c=0\\ \frac{b\,d^2\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)}{c}+b\,c\,d^2\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)+\frac{b\,c\,d^2\,\ln\left(c^2\,x^2+1\right)}{2}-\frac{a\,d^2\,\left(c^2\,x^2+1-c\,x\,\ln\left(x\right)\,2{}\mathrm{i}\right)}{x}-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{x}-b\,c^2\,d^2\,x\,\mathrm{atan}\left(c\,x\right) & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^2)/x, c ~= 0, (b*d^2*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2))/c + b*c*d^2*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)) + (b*c*d^2*log(c^2*x^2 + 1))/2 - (a*d^2*(c^2*x^2 - c*x*log(x)*2i + 1))/x - (b*d^2*atan(c*x))/x - b*c^2*d^2*x*atan(c*x))","B"
16,1,161,152,0.744610,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x^3,x)","\left\{\begin{array}{cl} -\frac{a\,d^2}{2\,x^2} & \text{\ if\ \ }c=0\\ b\,d^2\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)\,2{}\mathrm{i}+\frac{b\,c^2\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{b\,c^2\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{b\,d^2\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-\frac{a\,d^2\,\left(2\,c^2\,x^2\,\ln\left(x\right)+1+c\,x\,4{}\mathrm{i}\right)}{2\,x^2}-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}-\frac{b\,c\,d^2\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}}{x} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^2)/(2*x^2), c ~= 0, b*d^2*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2)*2i + (b*c^2*d^2*dilog(- c*x*1i + 1)*1i)/2 - (b*c^2*d^2*dilog(c*x*1i + 1)*1i)/2 - (b*d^2*(c^3*atan(c*x) + c^2/x))/(2*c) - (a*d^2*(c*x*4i + 2*c^2*x^2*log(x) + 1))/(2*x^2) - (b*d^2*atan(c*x))/(2*x^2) - (b*c*d^2*atan(c*x)*2i)/x)","B"
17,1,120,87,0.641323,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x^4,x)","-\frac{d^2\,\left(8\,b\,c^3\,\ln\left(x\right)-4\,b\,c^3\,\ln\left(c^2\,x^2+1\right)+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,6{}\mathrm{i}\right)}{6}-\frac{\frac{d^2\,\left(2\,a+2\,b\,\mathrm{atan}\left(c\,x\right)\right)}{6}+\frac{d^2\,x\,\left(a\,c\,6{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,6{}\mathrm{i}\right)}{6}-\frac{d^2\,x^2\,\left(6\,a\,c^2+6\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,6{}\mathrm{i}\right)}{6}}{x^3}","Not used",1,"- (d^2*(b*c^3*atan(c*x)*6i - 4*b*c^3*log(c^2*x^2 + 1) + 8*b*c^3*log(x)))/6 - ((d^2*(2*a + 2*b*atan(c*x)))/6 + (d^2*x*(a*c*6i + b*c + b*c*atan(c*x)*6i))/6 - (d^2*x^2*(6*a*c^2 - b*c^2*6i + 6*b*c^2*atan(c*x)))/6)/x^3","B"
18,1,142,161,0.696014,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x^5,x)","\frac{d^2\,\left(9\,b\,c^3\,\mathrm{atan}\left(x\,\sqrt{c^2}\right)\,\sqrt{c^2}+b\,c^4\,\ln\left(c^2\,x^2+1\right)\,4{}\mathrm{i}-b\,c^4\,\ln\left(x\right)\,8{}\mathrm{i}\right)}{12}-\frac{\frac{d^2\,\left(3\,a+3\,b\,\mathrm{atan}\left(c\,x\right)\right)}{12}+\frac{d^2\,x\,\left(a\,c\,8{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,8{}\mathrm{i}\right)}{12}-\frac{d^2\,x^2\,\left(6\,a\,c^2+6\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,4{}\mathrm{i}\right)}{12}-\frac{3\,b\,c^3\,d^2\,x^3}{4}}{x^4}","Not used",1,"(d^2*(b*c^4*log(c^2*x^2 + 1)*4i - b*c^4*log(x)*8i + 9*b*c^3*atan(x*(c^2)^(1/2))*(c^2)^(1/2)))/12 - ((d^2*(3*a + 3*b*atan(c*x)))/12 + (d^2*x*(a*c*8i + b*c + b*c*atan(c*x)*8i))/12 - (d^2*x^2*(6*a*c^2 - b*c^2*4i + 6*b*c^2*atan(c*x)))/12 - (3*b*c^3*d^2*x^3)/4)/x^4","B"
19,1,244,171,0.919370,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^2)/x^6,x)","\frac{8\,b\,c^5\,d^2\,\ln\left(x\right)}{15}-\frac{4\,b\,c^5\,d^2\,\ln\left(c^2\,x^2+1\right)}{15}-\frac{\frac{a\,d^2}{5}+\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{5}-\frac{4\,b\,c^5\,d^2\,x^5}{15}-\frac{b\,c^6\,d^2\,x^6\,1{}\mathrm{i}}{2}-\frac{c^4\,d^2\,x^4\,\left(a+b\,1{}\mathrm{i}\right)}{3}+\frac{c\,d^2\,x\,\left(b+a\,10{}\mathrm{i}\right)}{20}-\frac{c^2\,d^2\,x^2\,\left(4\,a-b\,5{}\mathrm{i}\right)}{30}+\frac{c^3\,d^2\,x^3\,\left(-13\,b+a\,30{}\mathrm{i}\right)}{60}-\frac{2\,b\,c^2\,d^2\,x^2\,\mathrm{atan}\left(c\,x\right)}{15}+\frac{b\,c^3\,d^2\,x^3\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{2}-\frac{b\,c^4\,d^2\,x^4\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,c\,d^2\,x\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{2}}{c^2\,x^7+x^5}+\frac{b\,c^8\,d^2\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,1{}\mathrm{i}}{2\,{\left(c^2\right)}^{3/2}}","Not used",1,"(8*b*c^5*d^2*log(x))/15 - (4*b*c^5*d^2*log(c^2*x^2 + 1))/15 - ((a*d^2)/5 + (b*d^2*atan(c*x))/5 - (4*b*c^5*d^2*x^5)/15 - (b*c^6*d^2*x^6*1i)/2 - (c^4*d^2*x^4*(a + b*1i))/3 + (c*d^2*x*(a*10i + b))/20 - (c^2*d^2*x^2*(4*a - b*5i))/30 + (c^3*d^2*x^3*(a*30i - 13*b))/60 - (2*b*c^2*d^2*x^2*atan(c*x))/15 + (b*c^3*d^2*x^3*atan(c*x)*1i)/2 - (b*c^4*d^2*x^4*atan(c*x))/3 + (b*c*d^2*x*atan(c*x)*1i)/2)/(x^5 + c^2*x^7) + (b*c^8*d^2*atan((c^2*x)/(c^2)^(1/2))*1i)/(2*(c^2)^(3/2))","B"
20,1,186,205,0.885834,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + c*d*x*1i)^3,x)","-\frac{\frac{d^3\,\left(315\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,156{}\mathrm{i}\right)}{420}+\frac{b\,c^3\,d^3\,x^3}{4}-\frac{3\,b\,c\,d^3\,x}{4}-\frac{b\,c^2\,d^3\,x^2\,13{}\mathrm{i}}{35}}{c^4}+\frac{d^3\,\left(105\,a\,x^4+105\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,78{}\mathrm{i}\right)}{420}-\frac{c^3\,d^3\,\left(a\,x^7\,60{}\mathrm{i}+b\,x^7\,\mathrm{atan}\left(c\,x\right)\,60{}\mathrm{i}\right)}{420}+\frac{c\,d^3\,\left(a\,x^5\,252{}\mathrm{i}+42\,b\,x^5+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,252{}\mathrm{i}\right)}{420}-\frac{c^2\,d^3\,\left(210\,a\,x^6+210\,b\,x^6\,\mathrm{atan}\left(c\,x\right)-b\,x^6\,10{}\mathrm{i}\right)}{420}","Not used",1,"(d^3*(105*a*x^4 - b*x^4*78i + 105*b*x^4*atan(c*x)))/420 - ((d^3*(315*b*atan(c*x) + b*log(c^2*x^2 + 1)*156i))/420 - (b*c^2*d^3*x^2*13i)/35 + (b*c^3*d^3*x^3)/4 - (3*b*c*d^3*x)/4)/c^4 - (c^3*d^3*(a*x^7*60i + b*x^7*atan(c*x)*60i))/420 + (c*d^3*(a*x^5*252i + 42*b*x^5 + b*x^5*atan(c*x)*252i))/420 - (c^2*d^3*(210*a*x^6 - b*x^6*10i + 210*b*x^6*atan(c*x)))/420","B"
21,1,174,191,0.827768,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + c*d*x*1i)^3,x)","-\frac{\frac{d^3\,\left(-84\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,165{}\mathrm{i}\right)}{180}+\frac{7\,b\,c^2\,d^3\,x^2}{15}-\frac{b\,c\,d^3\,x\,11{}\mathrm{i}}{12}}{c^3}+\frac{d^3\,\left(60\,a\,x^3+60\,b\,x^3\,\mathrm{atan}\left(c\,x\right)-b\,x^3\,55{}\mathrm{i}\right)}{180}-\frac{c^3\,d^3\,\left(a\,x^6\,30{}\mathrm{i}+b\,x^6\,\mathrm{atan}\left(c\,x\right)\,30{}\mathrm{i}\right)}{180}+\frac{c\,d^3\,\left(a\,x^4\,135{}\mathrm{i}+27\,b\,x^4+b\,x^4\,\mathrm{atan}\left(c\,x\right)\,135{}\mathrm{i}\right)}{180}-\frac{c^2\,d^3\,\left(108\,a\,x^5+108\,b\,x^5\,\mathrm{atan}\left(c\,x\right)-b\,x^5\,6{}\mathrm{i}\right)}{180}","Not used",1,"(d^3*(60*a*x^3 - b*x^3*55i + 60*b*x^3*atan(c*x)))/180 - ((d^3*(b*atan(c*x)*165i - 84*b*log(c^2*x^2 + 1)))/180 + (7*b*c^2*d^3*x^2)/15 - (b*c*d^3*x*11i)/12)/c^3 - (c^3*d^3*(a*x^6*30i + b*x^6*atan(c*x)*30i))/180 + (c*d^3*(a*x^4*135i + 27*b*x^4 + b*x^4*atan(c*x)*135i))/180 - (c^2*d^3*(108*a*x^5 - b*x^5*6i + 108*b*x^5*atan(c*x)))/180","B"
22,1,160,157,0.727896,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + c*d*x*1i)^3,x)","\frac{\frac{d^3\,\left(25\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,12{}\mathrm{i}\right)}{20}-\frac{5\,b\,c\,d^3\,x}{4}}{c^2}+\frac{d^3\,\left(10\,a\,x^2+10\,b\,x^2\,\mathrm{atan}\left(c\,x\right)-b\,x^2\,12{}\mathrm{i}\right)}{20}-\frac{c^3\,d^3\,\left(a\,x^5\,4{}\mathrm{i}+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}\right)}{20}+\frac{c\,d^3\,\left(a\,x^3\,20{}\mathrm{i}+5\,b\,x^3+b\,x^3\,\mathrm{atan}\left(c\,x\right)\,20{}\mathrm{i}\right)}{20}-\frac{c^2\,d^3\,\left(15\,a\,x^4+15\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,1{}\mathrm{i}\right)}{20}","Not used",1,"((d^3*(25*b*atan(c*x) + b*log(c^2*x^2 + 1)*12i))/20 - (5*b*c*d^3*x)/4)/c^2 + (d^3*(10*a*x^2 - b*x^2*12i + 10*b*x^2*atan(c*x)))/20 - (c^3*d^3*(a*x^5*4i + b*x^5*atan(c*x)*4i))/20 + (c*d^3*(a*x^3*20i + 5*b*x^3 + b*x^3*atan(c*x)*20i))/20 - (c^2*d^3*(15*a*x^4 - b*x^4*1i + 15*b*x^4*atan(c*x)))/20","B"
23,1,147,100,0.693070,"\text{Not used}","int((a + b*atan(c*x))*(d + c*d*x*1i)^3,x)","-\frac{d^3\,\left(a\,x\,12{}\mathrm{i}+21\,b\,x+b\,x\,\mathrm{atan}\left(c\,x\right)\,12{}\mathrm{i}\right)\,1{}\mathrm{i}}{12}-\frac{c^3\,d^3\,\left(3\,a\,x^4+3\,b\,x^4\,\mathrm{atan}\left(c\,x\right)\right)\,1{}\mathrm{i}}{12}+\frac{d^3\,\left(21\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,12{}\mathrm{i}\right)\,1{}\mathrm{i}}{12\,c}+\frac{c\,d^3\,\left(18\,a\,x^2+18\,b\,x^2\,\mathrm{atan}\left(c\,x\right)-b\,x^2\,6{}\mathrm{i}\right)\,1{}\mathrm{i}}{12}+\frac{c^2\,d^3\,\left(a\,x^3\,12{}\mathrm{i}+b\,x^3+b\,x^3\,\mathrm{atan}\left(c\,x\right)\,12{}\mathrm{i}\right)\,1{}\mathrm{i}}{12}","Not used",1,"(d^3*(21*b*atan(c*x) + b*log(c^2*x^2 + 1)*12i)*1i)/(12*c) - (c^3*d^3*(3*a*x^4 + 3*b*x^4*atan(c*x))*1i)/12 - (d^3*(a*x*12i + 21*b*x + b*x*atan(c*x)*12i)*1i)/12 + (c*d^3*(18*a*x^2 - b*x^2*6i + 18*b*x^2*atan(c*x))*1i)/12 + (c^2*d^3*(a*x^3*12i + b*x^3 + b*x^3*atan(c*x)*12i)*1i)/12","B"
24,1,196,170,0.833460,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x,x)","\left\{\begin{array}{cl} a\,d^3\,\ln\left(x\right) & \text{\ if\ \ }c=0\\ a\,d^3\,\ln\left(x\right)-\frac{b\,d^3\,\ln\left(c^2\,x^2+1\right)\,3{}\mathrm{i}}{2}-\frac{b\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{3\,a\,c^2\,d^3\,x^2}{2}-\frac{a\,c^3\,d^3\,x^3\,1{}\mathrm{i}}{3}+a\,c\,d^3\,x\,3{}\mathrm{i}+\frac{3\,b\,c\,d^3\,x}{2}+\frac{b\,c^2\,d^3\,\left(\frac{x^2}{2}-\frac{\ln\left(c^2\,x^2+1\right)}{2\,c^2}\right)\,1{}\mathrm{i}}{3}-3\,b\,c^2\,d^3\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)-\frac{b\,c^3\,d^3\,x^3\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{3}+b\,c\,d^3\,x\,\mathrm{atan}\left(c\,x\right)\,3{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, a*d^3*log(x), c ~= 0, - (b*d^3*log(c^2*x^2 + 1)*3i)/2 + a*d^3*log(x) - (b*d^3*dilog(- c*x*1i + 1)*1i)/2 + (b*d^3*dilog(c*x*1i + 1)*1i)/2 - (3*a*c^2*d^3*x^2)/2 - (a*c^3*d^3*x^3*1i)/3 + a*c*d^3*x*3i + (3*b*c*d^3*x)/2 + (b*c^2*d^3*(x^2/2 - log(c^2*x^2 + 1)/(2*c^2))*1i)/3 - 3*b*c^2*d^3*atan(c*x)*(1/(2*c^2) + x^2/2) - (b*c^3*d^3*x^3*atan(c*x)*1i)/3 + b*c*d^3*x*atan(c*x)*3i)","B"
25,1,195,162,0.721371,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^2,x)","\left\{\begin{array}{cl} -\frac{a\,d^3}{x} & \text{\ if\ \ }c=0\\ \frac{b\,d^3\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)}{c}-\frac{a\,c^3\,d^3\,x^2\,1{}\mathrm{i}}{2}-\frac{a\,d^3}{x}+\frac{3\,b\,c\,d^3\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)}{2}+\frac{3\,b\,c\,d^3\,\ln\left(c^2\,x^2+1\right)}{2}-3\,a\,c^2\,d^3\,x+\frac{b\,c^2\,d^3\,x\,1{}\mathrm{i}}{2}+a\,c\,d^3\,\ln\left(x\right)\,3{}\mathrm{i}-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{x}-3\,b\,c^2\,d^3\,x\,\mathrm{atan}\left(c\,x\right)-b\,c^3\,d^3\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\,1{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^3)/x, c ~= 0, - (a*d^3)/x - (a*c^3*d^3*x^2*1i)/2 + (b*d^3*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2))/c + (3*b*c*d^3*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)))/2 + (3*b*c*d^3*log(c^2*x^2 + 1))/2 - 3*a*c^2*d^3*x + (b*c^2*d^3*x*1i)/2 + a*c*d^3*log(x)*3i - (b*d^3*atan(c*x))/x - 3*b*c^2*d^3*x*atan(c*x) - b*c^3*d^3*atan(c*x)*(1/(2*c^2) + x^2/2)*1i)","B"
26,1,205,180,0.726448,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^3,x)","\left\{\begin{array}{cl} -\frac{a\,d^3}{2\,x^2} & \text{\ if\ \ }c=0\\ b\,d^3\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)\,3{}\mathrm{i}+\frac{b\,c^2\,d^3\,\ln\left(c^2\,x^2+1\right)\,1{}\mathrm{i}}{2}+\frac{b\,c^2\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}-\frac{b\,c^2\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}-\frac{b\,d^3\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-\frac{a\,d^3\,\left(6\,c^2\,x^2\,\ln\left(x\right)+1+c\,x\,6{}\mathrm{i}+c^3\,x^3\,2{}\mathrm{i}\right)}{2\,x^2}-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}-\frac{b\,c\,d^3\,\mathrm{atan}\left(c\,x\right)\,3{}\mathrm{i}}{x}-b\,c^3\,d^3\,x\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^3)/(2*x^2), c ~= 0, b*d^3*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2)*3i + (b*c^2*d^3*log(c^2*x^2 + 1)*1i)/2 + (b*c^2*d^3*dilog(- c*x*1i + 1)*3i)/2 - (b*c^2*d^3*dilog(c*x*1i + 1)*3i)/2 - (b*d^3*(c^3*atan(c*x) + c^2/x))/(2*c) - (a*d^3*(c*x*6i + c^3*x^3*2i + 6*c^2*x^2*log(x) + 1))/(2*x^2) - (b*d^3*atan(c*x))/(2*x^2) - (b*c*d^3*atan(c*x)*3i)/x - b*c^3*d^3*x*atan(c*x)*1i)","B"
27,1,221,189,0.972717,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^4,x)","\left\{\begin{array}{cl} -\frac{a\,d^3}{3\,x^3} & \text{\ if\ \ }c=0\\ \frac{b\,c^3\,d^3\,\ln\left(-\frac{3\,c^6\,x^2}{2}-\frac{3\,c^4}{2}\right)}{6}-\frac{b\,c^3\,d^3\,\ln\left(x\right)}{3}-\frac{b\,c^3\,d^3\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)}{2}-3\,b\,c\,d^3\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)-\frac{b\,c\,d^3}{6\,x^2}-\frac{a\,d^3\,\left(2-18\,c^2\,x^2+c\,x\,9{}\mathrm{i}+c^3\,x^3\,\ln\left(x\right)\,6{}\mathrm{i}\right)}{6\,x^3}-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{3\,x^3}+\frac{3\,b\,c^2\,d^3\,\mathrm{atan}\left(c\,x\right)}{x}-\frac{b\,d^3\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)\,3{}\mathrm{i}}{2}-\frac{b\,c\,d^3\,\mathrm{atan}\left(c\,x\right)\,3{}\mathrm{i}}{2\,x^2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^3)/(3*x^3), c ~= 0, - (b*d^3*(c^3*atan(c*x) + c^2/x)*3i)/2 - (b*c^3*d^3*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)))/2 - (b*c^3*d^3*log(x))/3 + (b*c^3*d^3*log(- (3*c^4)/2 - (3*c^6*x^2)/2))/6 - 3*b*c*d^3*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2) - (b*c*d^3)/(6*x^2) - (a*d^3*(c*x*9i - 18*c^2*x^2 + c^3*x^3*log(x)*6i + 2))/(6*x^3) - (b*d^3*atan(c*x))/(3*x^3) - (b*c*d^3*atan(c*x)*3i)/(2*x^2) + (3*b*c^2*d^3*atan(c*x))/x)","B"
28,1,154,103,0.664740,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^5,x)","-\frac{\frac{d^3\,\left(3\,a+3\,b\,\mathrm{atan}\left(c\,x\right)\right)}{12}+\frac{d^3\,x\,\left(a\,c\,12{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,12{}\mathrm{i}\right)}{12}-\frac{d^3\,x^2\,\left(18\,a\,c^2+18\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,6{}\mathrm{i}\right)}{12}-\frac{d^3\,x^3\,\left(a\,c^3\,12{}\mathrm{i}+21\,b\,c^3+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,12{}\mathrm{i}\right)}{12}}{x^4}+\frac{d^3\,\left(21\,b\,c^4\,\mathrm{atan}\left(c\,x\right)+b\,c^4\,\ln\left(c^2\,x^2+1\right)\,12{}\mathrm{i}-b\,c^4\,\ln\left(x\right)\,24{}\mathrm{i}\right)}{12}","Not used",1,"(d^3*(21*b*c^4*atan(c*x) + b*c^4*log(c^2*x^2 + 1)*12i - b*c^4*log(x)*24i))/12 - ((d^3*(3*a + 3*b*atan(c*x)))/12 + (d^3*x*(a*c*12i + b*c + b*c*atan(c*x)*12i))/12 - (d^3*x^2*(18*a*c^2 - b*c^2*6i + 18*b*c^2*atan(c*x)))/12 - (d^3*x^3*(a*c^3*12i + 21*b*c^3 + b*c^3*atan(c*x)*12i))/12)/x^4","B"
29,1,174,150,0.950797,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^6,x)","\frac{d^3\,\left(24\,b\,c^5\,\ln\left(x\right)-12\,b\,c^5\,\ln\left(c^2\,x^2+1\right)+b\,c^4\,\mathrm{atan}\left(x\,\sqrt{c^2}\right)\,\sqrt{c^2}\,25{}\mathrm{i}\right)}{20}+\frac{-\frac{d^3\,\left(4\,a+4\,b\,\mathrm{atan}\left(c\,x\right)\right)}{20}-\frac{d^3\,x\,\left(a\,c\,15{}\mathrm{i}+b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,15{}\mathrm{i}\right)}{20}+\frac{d^3\,x^3\,\left(a\,c^3\,10{}\mathrm{i}+12\,b\,c^3+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,10{}\mathrm{i}\right)}{20}+\frac{d^3\,x^2\,\left(20\,a\,c^2+20\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,5{}\mathrm{i}\right)}{20}+\frac{b\,c^4\,d^3\,x^4\,5{}\mathrm{i}}{4}}{x^5}","Not used",1,"(d^3*(24*b*c^5*log(x) - 12*b*c^5*log(c^2*x^2 + 1) + b*c^4*atan(x*(c^2)^(1/2))*(c^2)^(1/2)*25i))/20 + ((d^3*x^3*(a*c^3*10i + 12*b*c^3 + b*c^3*atan(c*x)*10i))/20 - (d^3*x*(a*c*15i + b*c + b*c*atan(c*x)*15i))/20 - (d^3*(4*a + 4*b*atan(c*x)))/20 + (d^3*x^2*(20*a*c^2 - b*c^2*5i + 20*b*c^2*atan(c*x)))/20 + (b*c^4*d^3*x^4*5i)/4)/x^5","B"
30,1,192,214,1.059297,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^3)/x^7,x)","-\frac{\frac{d^3\,\left(30\,a+30\,b\,\mathrm{atan}\left(c\,x\right)\right)}{180}+\frac{d^3\,x\,\left(a\,c\,108{}\mathrm{i}+6\,b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,108{}\mathrm{i}\right)}{180}-\frac{d^3\,x^3\,\left(a\,c^3\,60{}\mathrm{i}+55\,b\,c^3+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,60{}\mathrm{i}\right)}{180}-\frac{d^3\,x^2\,\left(135\,a\,c^2+135\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,27{}\mathrm{i}\right)}{180}+\frac{11\,b\,c^5\,d^3\,x^5}{12}-\frac{b\,c^4\,d^3\,x^4\,7{}\mathrm{i}}{15}}{x^6}-\frac{d^3\,\left(\frac{165\,b\,c^9\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)}{{\left(c^2\right)}^{3/2}}+b\,c^6\,\ln\left(c^2\,x^2+1\right)\,84{}\mathrm{i}-b\,c^6\,\ln\left(x\right)\,168{}\mathrm{i}\right)}{180}","Not used",1,"- ((d^3*(30*a + 30*b*atan(c*x)))/180 + (d^3*x*(a*c*108i + 6*b*c + b*c*atan(c*x)*108i))/180 - (d^3*x^3*(a*c^3*60i + 55*b*c^3 + b*c^3*atan(c*x)*60i))/180 - (d^3*x^2*(135*a*c^2 - b*c^2*27i + 135*b*c^2*atan(c*x)))/180 - (b*c^4*d^3*x^4*7i)/15 + (11*b*c^5*d^3*x^5)/12)/x^6 - (d^3*(b*c^6*log(c^2*x^2 + 1)*84i - b*c^6*log(x)*168i + (165*b*c^9*atan((c^2*x)/(c^2)^(1/2)))/(c^2)^(3/2)))/180","B"
31,1,217,238,2.589420,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + c*d*x*1i)^4,x)","\frac{c^4\,d^4\,\left(105\,a\,x^8+105\,b\,x^8\,\mathrm{atan}\left(c\,x\right)\right)}{840}+\frac{d^4\,\left(210\,a\,x^4+210\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,288{}\mathrm{i}\right)}{840}-\frac{\frac{d^4\,\left(1155\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,576{}\mathrm{i}\right)}{840}+\frac{11\,b\,c^3\,d^4\,x^3}{24}-\frac{11\,b\,c\,d^4\,x}{8}-\frac{b\,c^2\,d^4\,x^2\,24{}\mathrm{i}}{35}}{c^4}+\frac{c\,d^4\,\left(a\,x^5\,672{}\mathrm{i}+189\,b\,x^5+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,672{}\mathrm{i}\right)}{840}-\frac{c^3\,d^4\,\left(a\,x^7\,480{}\mathrm{i}+15\,b\,x^7+b\,x^7\,\mathrm{atan}\left(c\,x\right)\,480{}\mathrm{i}\right)}{840}-\frac{c^2\,d^4\,\left(840\,a\,x^6+840\,b\,x^6\,\mathrm{atan}\left(c\,x\right)-b\,x^6\,80{}\mathrm{i}\right)}{840}","Not used",1,"(d^4*(210*a*x^4 - b*x^4*288i + 210*b*x^4*atan(c*x)))/840 - ((d^4*(1155*b*atan(c*x) + b*log(c^2*x^2 + 1)*576i))/840 - (b*c^2*d^4*x^2*24i)/35 + (11*b*c^3*d^4*x^3)/24 - (11*b*c*d^4*x)/8)/c^4 + (c^4*d^4*(105*a*x^8 + 105*b*x^8*atan(c*x)))/840 + (c*d^4*(a*x^5*672i + 189*b*x^5 + b*x^5*atan(c*x)*672i))/840 - (c^3*d^4*(a*x^7*480i + 15*b*x^7 + b*x^7*atan(c*x)*480i))/840 - (c^2*d^4*(840*a*x^6 - b*x^6*80i + 840*b*x^6*atan(c*x)))/840","B"
32,1,205,193,0.642039,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + c*d*x*1i)^4,x)","\frac{c^4\,d^4\,\left(180\,a\,x^7+180\,b\,x^7\,\mathrm{atan}\left(c\,x\right)\right)}{1260}+\frac{d^4\,\left(420\,a\,x^3+420\,b\,x^3\,\mathrm{atan}\left(c\,x\right)-b\,x^3\,700{}\mathrm{i}\right)}{1260}-\frac{\frac{d^4\,\left(-1056\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,2100{}\mathrm{i}\right)}{1260}+\frac{88\,b\,c^2\,d^4\,x^2}{105}-\frac{b\,c\,d^4\,x\,5{}\mathrm{i}}{3}}{c^3}+\frac{c\,d^4\,\left(a\,x^4\,1260{}\mathrm{i}+423\,b\,x^4+b\,x^4\,\mathrm{atan}\left(c\,x\right)\,1260{}\mathrm{i}\right)}{1260}-\frac{c^3\,d^4\,\left(a\,x^6\,840{}\mathrm{i}+30\,b\,x^6+b\,x^6\,\mathrm{atan}\left(c\,x\right)\,840{}\mathrm{i}\right)}{1260}-\frac{c^2\,d^4\,\left(1512\,a\,x^5+1512\,b\,x^5\,\mathrm{atan}\left(c\,x\right)-b\,x^5\,168{}\mathrm{i}\right)}{1260}","Not used",1,"(d^4*(420*a*x^3 - b*x^3*700i + 420*b*x^3*atan(c*x)))/1260 - ((d^4*(b*atan(c*x)*2100i - 1056*b*log(c^2*x^2 + 1)))/1260 + (88*b*c^2*d^4*x^2)/105 - (b*c*d^4*x*5i)/3)/c^3 + (c^4*d^4*(180*a*x^7 + 180*b*x^7*atan(c*x)))/1260 + (c*d^4*(a*x^4*1260i + 423*b*x^4 + b*x^4*atan(c*x)*1260i))/1260 - (c^3*d^4*(a*x^6*840i + 30*b*x^6 + b*x^6*atan(c*x)*840i))/1260 - (c^2*d^4*(1512*a*x^5 - b*x^5*168i + 1512*b*x^5*atan(c*x)))/1260","B"
33,1,191,178,0.793068,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + c*d*x*1i)^4,x)","\frac{\frac{d^4\,\left(195\,b\,\mathrm{atan}\left(c\,x\right)+b\,\ln\left(c^2\,x^2+1\right)\,96{}\mathrm{i}\right)}{90}-\frac{13\,b\,c\,d^4\,x}{6}}{c^2}+\frac{d^4\,\left(45\,a\,x^2+45\,b\,x^2\,\mathrm{atan}\left(c\,x\right)-b\,x^2\,96{}\mathrm{i}\right)}{90}+\frac{c^4\,d^4\,\left(15\,a\,x^6+15\,b\,x^6\,\mathrm{atan}\left(c\,x\right)\right)}{90}+\frac{c\,d^4\,\left(a\,x^3\,120{}\mathrm{i}+50\,b\,x^3+b\,x^3\,\mathrm{atan}\left(c\,x\right)\,120{}\mathrm{i}\right)}{90}-\frac{c^3\,d^4\,\left(a\,x^5\,72{}\mathrm{i}+3\,b\,x^5+b\,x^5\,\mathrm{atan}\left(c\,x\right)\,72{}\mathrm{i}\right)}{90}-\frac{c^2\,d^4\,\left(135\,a\,x^4+135\,b\,x^4\,\mathrm{atan}\left(c\,x\right)-b\,x^4\,18{}\mathrm{i}\right)}{90}","Not used",1,"((d^4*(195*b*atan(c*x) + b*log(c^2*x^2 + 1)*96i))/90 - (13*b*c*d^4*x)/6)/c^2 + (d^4*(45*a*x^2 - b*x^2*96i + 45*b*x^2*atan(c*x)))/90 + (c^4*d^4*(15*a*x^6 + 15*b*x^6*atan(c*x)))/90 + (c*d^4*(a*x^3*120i + 50*b*x^3 + b*x^3*atan(c*x)*120i))/90 - (c^3*d^4*(a*x^5*72i + 3*b*x^5 + b*x^5*atan(c*x)*72i))/90 - (c^2*d^4*(135*a*x^4 - b*x^4*18i + 135*b*x^4*atan(c*x)))/90","B"
34,1,175,125,0.742876,"\text{Not used}","int((a + b*atan(c*x))*(d + c*d*x*1i)^4,x)","\frac{d^4\,\left(60\,a\,x+60\,b\,x\,\mathrm{atan}\left(c\,x\right)-b\,x\,180{}\mathrm{i}\right)}{60}+\frac{c^4\,d^4\,\left(12\,a\,x^5+12\,b\,x^5\,\mathrm{atan}\left(c\,x\right)\right)}{60}+\frac{d^4\,\left(-96\,b\,\ln\left(c^2\,x^2+1\right)+b\,\mathrm{atan}\left(c\,x\right)\,180{}\mathrm{i}\right)}{60\,c}+\frac{c\,d^4\,\left(a\,x^2\,120{}\mathrm{i}+66\,b\,x^2+b\,x^2\,\mathrm{atan}\left(c\,x\right)\,120{}\mathrm{i}\right)}{60}-\frac{c^3\,d^4\,\left(a\,x^4\,60{}\mathrm{i}+3\,b\,x^4+b\,x^4\,\mathrm{atan}\left(c\,x\right)\,60{}\mathrm{i}\right)}{60}-\frac{c^2\,d^4\,\left(120\,a\,x^3+120\,b\,x^3\,\mathrm{atan}\left(c\,x\right)-b\,x^3\,20{}\mathrm{i}\right)}{60}","Not used",1,"(d^4*(60*a*x - b*x*180i + 60*b*x*atan(c*x)))/60 + (c^4*d^4*(12*a*x^5 + 12*b*x^5*atan(c*x)))/60 + (d^4*(b*atan(c*x)*180i - 96*b*log(c^2*x^2 + 1)))/(60*c) + (c*d^4*(a*x^2*120i + 66*b*x^2 + b*x^2*atan(c*x)*120i))/60 - (c^3*d^4*(a*x^4*60i + 3*b*x^4 + b*x^4*atan(c*x)*60i))/60 - (c^2*d^4*(120*a*x^3 - b*x^3*20i + 120*b*x^3*atan(c*x)))/60","B"
35,1,248,203,0.985695,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x,x)","\left\{\begin{array}{cl} a\,d^4\,\ln\left(x\right) & \text{\ if\ \ }c=0\\ a\,d^4\,\ln\left(x\right)-b\,d^4\,\ln\left(c^2\,x^2+1\right)\,2{}\mathrm{i}-\frac{b\,d^4\,\left(3\,\mathrm{atan}\left(c\,x\right)-3\,c\,x+c^3\,x^3\right)}{12}-\frac{b\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-3\,a\,c^2\,d^4\,x^2-\frac{a\,c^3\,d^4\,x^3\,4{}\mathrm{i}}{3}+\frac{a\,c^4\,d^4\,x^4}{4}+a\,c\,d^4\,x\,4{}\mathrm{i}+3\,b\,c\,d^4\,x+\frac{b\,c^2\,d^4\,\left(\frac{x^2}{2}-\frac{\ln\left(c^2\,x^2+1\right)}{2\,c^2}\right)\,4{}\mathrm{i}}{3}-6\,b\,c^2\,d^4\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)-\frac{b\,c^3\,d^4\,x^3\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}}{3}+\frac{b\,c^4\,d^4\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}+b\,c\,d^4\,x\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, a*d^4*log(x), c ~= 0, - (b*d^4*(3*atan(c*x) - 3*c*x + c^3*x^3))/12 - b*d^4*log(c^2*x^2 + 1)*2i + a*d^4*log(x) - (b*d^4*dilog(- c*x*1i + 1)*1i)/2 + (b*d^4*dilog(c*x*1i + 1)*1i)/2 - 3*a*c^2*d^4*x^2 - (a*c^3*d^4*x^3*4i)/3 + (a*c^4*d^4*x^4)/4 + a*c*d^4*x*4i + 3*b*c*d^4*x + (b*c^2*d^4*(x^2/2 - log(c^2*x^2 + 1)/(2*c^2))*4i)/3 - 6*b*c^2*d^4*atan(c*x)*(1/(2*c^2) + x^2/2) - (b*c^3*d^4*x^3*atan(c*x)*4i)/3 + (b*c^4*d^4*x^4*atan(c*x))/4 + b*c*d^4*x*atan(c*x)*4i)","B"
36,1,253,190,0.815671,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^2,x)","\left\{\begin{array}{cl} -\frac{a\,d^4}{x} & \text{\ if\ \ }c=0\\ \frac{a\,c^4\,d^4\,x^3}{3}-\frac{a\,d^4}{x}+\frac{b\,d^4\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)}{c}+2\,b\,c\,d^4\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)+3\,b\,c\,d^4\,\ln\left(c^2\,x^2+1\right)-6\,a\,c^2\,d^4\,x-\frac{b\,c^3\,d^4\,\left(\frac{x^2}{2}-\frac{\ln\left(c^2\,x^2+1\right)}{2\,c^2}\right)}{3}-\frac{b\,d^4\,\mathrm{atan}\left(c\,x\right)}{x}-6\,b\,c^2\,d^4\,x\,\mathrm{atan}\left(c\,x\right)+\frac{b\,c^4\,d^4\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}-a\,c^3\,d^4\,x^2\,2{}\mathrm{i}+b\,c^2\,d^4\,x\,2{}\mathrm{i}+a\,c\,d^4\,\ln\left(x\right)\,4{}\mathrm{i}-b\,c^3\,d^4\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\,4{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^4)/x, c ~= 0, - (a*d^4)/x - a*c^3*d^4*x^2*2i + (a*c^4*d^4*x^3)/3 + (b*d^4*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2))/c + 2*b*c*d^4*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)) + 3*b*c*d^4*log(c^2*x^2 + 1) - 6*a*c^2*d^4*x + b*c^2*d^4*x*2i - (b*c^3*d^4*(x^2/2 - log(c^2*x^2 + 1)/(2*c^2)))/3 + a*c*d^4*log(x)*4i - (b*d^4*atan(c*x))/x - 6*b*c^2*d^4*x*atan(c*x) - b*c^3*d^4*atan(c*x)*(1/(2*c^2) + x^2/2)*4i + (b*c^4*d^4*x^3*atan(c*x))/3)","B"
37,1,258,173,0.891965,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^3,x)","\left\{\begin{array}{cl} -\frac{a\,d^4}{2\,x^2} & \text{\ if\ \ }c=0\\ \frac{a\,c^4\,d^4\,x^2}{2}-\frac{\frac{a\,d^4}{2}+a\,c\,d^4\,x\,4{}\mathrm{i}}{x^2}-6\,a\,c^2\,d^4\,\ln\left(x\right)-\frac{b\,d^4\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-\frac{b\,c^3\,d^4\,x}{2}-\frac{b\,d^4\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}+b\,c^4\,d^4\,\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)+b\,d^4\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)\,4{}\mathrm{i}+b\,c^2\,d^4\,\ln\left(c^2\,x^2+1\right)\,2{}\mathrm{i}+b\,c^2\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-b\,c^2\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}-a\,c^3\,d^4\,x\,4{}\mathrm{i}-\frac{b\,c\,d^4\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}}{x}-b\,c^3\,d^4\,x\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^4)/(2*x^2), c ~= 0, - ((a*d^4)/2 + a*c*d^4*x*4i)/x^2 + b*d^4*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2)*4i + b*c^2*d^4*log(c^2*x^2 + 1)*2i + (a*c^4*d^4*x^2)/2 - 6*a*c^2*d^4*log(x) + b*c^2*d^4*dilog(- c*x*1i + 1)*3i - b*c^2*d^4*dilog(c*x*1i + 1)*3i - (b*d^4*(c^3*atan(c*x) + c^2/x))/(2*c) - a*c^3*d^4*x*4i - (b*c^3*d^4*x)/2 - (b*d^4*atan(c*x))/(2*x^2) - (b*c*d^4*atan(c*x)*4i)/x - b*c^3*d^4*x*atan(c*x)*4i + b*c^4*d^4*atan(c*x)*(1/(2*c^2) + x^2/2))","B"
38,1,261,201,0.832969,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^4,x)","\left\{\begin{array}{cl} -\frac{a\,d^4}{3\,x^3} & \text{\ if\ \ }c=0\\ \frac{b\,c^3\,d^4\,\ln\left(-\frac{3\,c^6\,x^2}{2}-\frac{3\,c^4}{2}\right)}{6}-\frac{b\,c^3\,d^4\,\ln\left(c^2\,x^2+1\right)}{2}-\frac{b\,c^3\,d^4\,\ln\left(x\right)}{3}-2\,b\,c^3\,d^4\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)-6\,b\,c\,d^4\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)-\frac{b\,c\,d^4}{6\,x^2}-\frac{a\,d^4\,\left(1-3\,c^4\,x^4-18\,c^2\,x^2+c\,x\,6{}\mathrm{i}+c^3\,x^3\,\ln\left(x\right)\,12{}\mathrm{i}\right)}{3\,x^3}-\frac{b\,d^4\,\mathrm{atan}\left(c\,x\right)}{3\,x^3}+b\,c^4\,d^4\,x\,\mathrm{atan}\left(c\,x\right)+\frac{6\,b\,c^2\,d^4\,\mathrm{atan}\left(c\,x\right)}{x}-b\,d^4\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)\,2{}\mathrm{i}-\frac{b\,c\,d^4\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}}{x^2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^4)/(3*x^3), c ~= 0, - b*d^4*(c^3*atan(c*x) + c^2/x)*2i - 2*b*c^3*d^4*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1)) - (b*c^3*d^4*log(c^2*x^2 + 1))/2 - (b*c^3*d^4*log(x))/3 + (b*c^3*d^4*log(- (3*c^4)/2 - (3*c^6*x^2)/2))/6 - 6*b*c*d^4*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2) - (b*c*d^4)/(6*x^2) - (a*d^4*(c*x*6i - 18*c^2*x^2 - 3*c^4*x^4 + c^3*x^3*log(x)*12i + 1))/(3*x^3) - (b*d^4*atan(c*x))/(3*x^3) - (b*c*d^4*atan(c*x)*2i)/x^2 + b*c^4*d^4*x*atan(c*x) + (6*b*c^2*d^4*atan(c*x))/x)","B"
39,1,298,227,0.943102,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^5,x)","\left\{\begin{array}{cl} -\frac{a\,d^4}{4\,x^4} & \text{\ if\ \ }c=0\\ 3\,b\,c\,d^4\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)-\frac{b\,d^4\,\left(\frac{\frac{c^2}{3}-c^4\,x^2}{x^3}-c^5\,\mathrm{atan}\left(c\,x\right)\right)}{4\,c}-\frac{b\,c^4\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,c^4\,d^4\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-b\,c^2\,d^4\,\left(c^2\,\ln\left(x\right)-\frac{c^2\,\ln\left(c^2\,x^2+1\right)}{2}\right)\,4{}\mathrm{i}+\frac{a\,d^4\,\left(36\,c^2\,x^2+12\,c^4\,x^4\,\ln\left(x\right)-3-c\,x\,16{}\mathrm{i}+c^3\,x^3\,48{}\mathrm{i}\right)}{12\,x^4}-\frac{b\,d^4\,\mathrm{atan}\left(c\,x\right)}{4\,x^4}-\frac{b\,d^4\,\left(c^4\,\ln\left(x\right)-\frac{c^4\,\ln\left(-\frac{c^4\,\left(3\,c^2\,x^2+1\right)}{2}-c^4\right)}{2}+\frac{c^2}{2\,x^2}\right)\,4{}\mathrm{i}}{3}-\frac{b\,c\,d^4\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}}{3\,x^3}+\frac{3\,b\,c^2\,d^4\,\mathrm{atan}\left(c\,x\right)}{x^2}+\frac{b\,c^3\,d^4\,\mathrm{atan}\left(c\,x\right)\,4{}\mathrm{i}}{x} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*d^4)/(4*x^4), c ~= 0, - (b*d^4*(c^4*log(x) - (c^4*log(- (c^4*(3*c^2*x^2 + 1))/2 - c^4))/2 + c^2/(2*x^2))*4i)/3 - (b*d^4*((c^2/3 - c^4*x^2)/x^3 - c^5*atan(c*x)))/(4*c) - (b*c^4*d^4*dilog(- c*x*1i + 1)*1i)/2 + (b*c^4*d^4*dilog(c*x*1i + 1)*1i)/2 - b*c^2*d^4*(c^2*log(x) - (c^2*log(c^2*x^2 + 1))/2)*4i + (a*d^4*(- c*x*16i + 36*c^2*x^2 + c^3*x^3*48i + 12*c^4*x^4*log(x) - 3))/(12*x^4) - (b*d^4*atan(c*x))/(4*x^4) + 3*b*c*d^4*(c^3*atan(c*x) + c^2/x) - (b*c*d^4*atan(c*x)*4i)/(3*x^3) + (3*b*c^2*d^4*atan(c*x))/x^2 + (b*c^3*d^4*atan(c*x)*4i)/x)","B"
40,1,186,117,0.734062,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^6,x)","\frac{d^4\,\left(192\,b\,c^5\,\ln\left(x\right)-96\,b\,c^5\,\ln\left(c^2\,x^2+1\right)+b\,c^5\,\mathrm{atan}\left(c\,x\right)\,180{}\mathrm{i}\right)}{60}-\frac{\frac{d^4\,\left(12\,a+12\,b\,\mathrm{atan}\left(c\,x\right)\right)}{60}+\frac{d^4\,x\,\left(a\,c\,60{}\mathrm{i}+3\,b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,60{}\mathrm{i}\right)}{60}-\frac{d^4\,x^2\,\left(120\,a\,c^2+120\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,20{}\mathrm{i}\right)}{60}+\frac{d^4\,x^4\,\left(60\,a\,c^4+60\,b\,c^4\,\mathrm{atan}\left(c\,x\right)-b\,c^4\,180{}\mathrm{i}\right)}{60}-\frac{d^4\,x^3\,\left(a\,c^3\,120{}\mathrm{i}+66\,b\,c^3+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,120{}\mathrm{i}\right)}{60}}{x^5}","Not used",1,"(d^4*(b*c^5*atan(c*x)*180i - 96*b*c^5*log(c^2*x^2 + 1) + 192*b*c^5*log(x)))/60 - ((d^4*(12*a + 12*b*atan(c*x)))/60 + (d^4*x*(a*c*60i + 3*b*c + b*c*atan(c*x)*60i))/60 - (d^4*x^2*(120*a*c^2 - b*c^2*20i + 120*b*c^2*atan(c*x)))/60 + (d^4*x^4*(60*a*c^4 - b*c^4*180i + 60*b*c^4*atan(c*x)))/60 - (d^4*x^3*(a*c^3*120i + 66*b*c^3 + b*c^3*atan(c*x)*120i))/60)/x^5","B"
41,1,208,168,0.897494,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^7,x)","-\frac{d^4\,\left(195\,b\,c^5\,\mathrm{atan}\left(x\,\sqrt{c^2}\right)\,\sqrt{c^2}+b\,c^6\,\ln\left(c^2\,x^2+1\right)\,96{}\mathrm{i}-b\,c^6\,\ln\left(x\right)\,192{}\mathrm{i}\right)}{90}-\frac{\frac{d^4\,\left(15\,a+15\,b\,\mathrm{atan}\left(c\,x\right)\right)}{90}+\frac{d^4\,x\,\left(a\,c\,72{}\mathrm{i}+3\,b\,c+b\,c\,\mathrm{atan}\left(c\,x\right)\,72{}\mathrm{i}\right)}{90}+\frac{d^4\,x^4\,\left(45\,a\,c^4+45\,b\,c^4\,\mathrm{atan}\left(c\,x\right)-b\,c^4\,96{}\mathrm{i}\right)}{90}-\frac{d^4\,x^2\,\left(135\,a\,c^2+135\,b\,c^2\,\mathrm{atan}\left(c\,x\right)-b\,c^2\,18{}\mathrm{i}\right)}{90}-\frac{d^4\,x^3\,\left(a\,c^3\,120{}\mathrm{i}+50\,b\,c^3+b\,c^3\,\mathrm{atan}\left(c\,x\right)\,120{}\mathrm{i}\right)}{90}+\frac{13\,b\,c^5\,d^4\,x^5}{6}}{x^6}","Not used",1,"- (d^4*(b*c^6*log(c^2*x^2 + 1)*96i - b*c^6*log(x)*192i + 195*b*c^5*atan(x*(c^2)^(1/2))*(c^2)^(1/2)))/90 - ((d^4*(15*a + 15*b*atan(c*x)))/90 + (d^4*x*(a*c*72i + 3*b*c + b*c*atan(c*x)*72i))/90 + (d^4*x^4*(45*a*c^4 - b*c^4*96i + 45*b*c^4*atan(c*x)))/90 - (d^4*x^2*(135*a*c^2 - b*c^2*18i + 135*b*c^2*atan(c*x)))/90 - (d^4*x^3*(a*c^3*120i + 50*b*c^3 + b*c^3*atan(c*x)*120i))/90 + (13*b*c^5*d^4*x^5)/6)/x^6","B"
42,1,317,243,1.174182,"\text{Not used}","int(((a + b*atan(c*x))*(d + c*d*x*1i)^4)/x^8,x)","\frac{88\,b\,c^7\,d^4\,\ln\left(c^2\,x^2+1\right)}{105}-\frac{\frac{a\,d^4}{7}+\frac{b\,d^4\,\mathrm{atan}\left(c\,x\right)}{7}+\frac{88\,b\,c^7\,d^4\,x^7}{105}+\frac{b\,c^8\,d^4\,x^8\,5{}\mathrm{i}}{3}+\frac{c\,d^4\,x\,\left(b+a\,28{}\mathrm{i}\right)}{42}+\frac{c^6\,d^4\,x^6\,\left(3\,a+b\,10{}\mathrm{i}\right)}{9}-\frac{c^4\,d^4\,x^4\,\left(39\,a+b\,19{}\mathrm{i}\right)}{45}-\frac{c^2\,d^4\,x^2\,\left(111\,a-b\,14{}\mathrm{i}\right)}{105}-\frac{c^3\,d^4\,x^3\,\left(131\,b+a\,140{}\mathrm{i}\right)}{420}-c^5\,d^4\,x^5\,\left(-\frac{211\,b}{420}+a\,1{}\mathrm{i}\right)-\frac{37\,b\,c^2\,d^4\,x^2\,\mathrm{atan}\left(c\,x\right)}{35}-\frac{b\,c^3\,d^4\,x^3\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}}{3}-\frac{13\,b\,c^4\,d^4\,x^4\,\mathrm{atan}\left(c\,x\right)}{15}-b\,c^5\,d^4\,x^5\,\mathrm{atan}\left(c\,x\right)\,1{}\mathrm{i}+\frac{b\,c^6\,d^4\,x^6\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,c\,d^4\,x\,\mathrm{atan}\left(c\,x\right)\,2{}\mathrm{i}}{3}}{c^2\,x^9+x^7}-\frac{176\,b\,c^7\,d^4\,\ln\left(x\right)}{105}-\frac{b\,c^{10}\,d^4\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,5{}\mathrm{i}}{3\,{\left(c^2\right)}^{3/2}}","Not used",1,"(88*b*c^7*d^4*log(c^2*x^2 + 1))/105 - ((a*d^4)/7 + (b*d^4*atan(c*x))/7 + (88*b*c^7*d^4*x^7)/105 + (b*c^8*d^4*x^8*5i)/3 + (c*d^4*x*(a*28i + b))/42 + (c^6*d^4*x^6*(3*a + b*10i))/9 - (c^4*d^4*x^4*(39*a + b*19i))/45 - (c^2*d^4*x^2*(111*a - b*14i))/105 - (c^3*d^4*x^3*(a*140i + 131*b))/420 - c^5*d^4*x^5*(a*1i - (211*b)/420) - (37*b*c^2*d^4*x^2*atan(c*x))/35 - (b*c^3*d^4*x^3*atan(c*x)*1i)/3 - (13*b*c^4*d^4*x^4*atan(c*x))/15 - b*c^5*d^4*x^5*atan(c*x)*1i + (b*c^6*d^4*x^6*atan(c*x))/3 + (b*c*d^4*x*atan(c*x)*2i)/3)/(x^7 + c^2*x^9) - (176*b*c^7*d^4*log(x))/105 - (b*c^10*d^4*atan((c^2*x)/(c^2)^(1/2))*5i)/(3*(c^2)^(3/2))","B"
43,0,-1,196,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i), x)","F"
44,0,-1,156,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i), x)","F"
45,0,-1,110,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + c*d*x*1i),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + c*d*x*1i), x)","F"
46,0,-1,59,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + c*d*x*1i),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + c*d*x*1i), x)","F"
47,0,-1,54,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + c*d*x*1i)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + c*d*x*1i)), x)","F"
48,0,-1,100,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)), x)","F"
49,0,-1,161,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)), x)","F"
50,0,-1,197,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^4*(d + c*d*x*1i)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^4\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^4*(d + c*d*x*1i)), x)","F"
51,0,-1,203,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i)^2,x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i)^2, x)","F"
52,0,-1,167,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i)^2,x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i)^2, x)","F"
53,0,-1,122,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + c*d*x*1i)^2,x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + c*d*x*1i)^2, x)","F"
54,0,-1,69,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + c*d*x*1i)^2,x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + c*d*x*1i)^2, x)","F"
55,0,-1,150,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + c*d*x*1i)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + c*d*x*1i)^2), x)","F"
56,0,-1,194,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)^2), x)","F"
57,0,-1,244,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)^2), x)","F"
58,0,-1,256,0.000000,"\text{Not used}","int((x^4*(a + b*atan(c*x)))/(d + c*d*x*1i)^3,x)","\int \frac{x^4\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^4*(a + b*atan(c*x)))/(d + c*d*x*1i)^3, x)","F"
59,0,-1,225,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i)^3,x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + c*d*x*1i)^3, x)","F"
60,0,-1,176,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i)^3,x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + c*d*x*1i)^3, x)","F"
61,0,-1,88,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + c*d*x*1i)^3,x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + c*d*x*1i)^3, x)","F"
62,0,-1,92,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + c*d*x*1i)^3,x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + c*d*x*1i)^3, x)","F"
63,0,-1,195,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + c*d*x*1i)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + c*d*x*1i)^3), x)","F"
64,0,-1,250,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + c*d*x*1i)^3), x)","F"
65,0,-1,306,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + c*d*x*1i)^3), x)","F"
66,0,-1,100,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(c*x*1i + 1)^4,x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(1+c\,x\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((a + b*atan(c*x))/(c*x*1i + 1)^4, x)","F"
67,0,-1,49,0.000000,"\text{Not used}","int(atan(a*x)/(c*x + a*c*x^2*1i),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{1{}\mathrm{i}\,a\,c\,x^2+c\,x} \,d x","Not used",1,"int(atan(a*x)/(c*x + a*c*x^2*1i), x)","F"
68,0,-1,287,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i),x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i), x)","F"
69,0,-1,255,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i),x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i), x)","F"
70,0,-1,211,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i),x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i), x)","F"
71,0,-1,130,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d + c*d*x*1i),x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((a + b*atan(c*x))^2*(d + c*d*x*1i), x)","F"
72,0,-1,216,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x, x)","F"
73,0,-1,228,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^2, x)","F"
74,0,-1,159,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^3, x)","F"
75,0,-1,224,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)}{x^4} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i))/x^4, x)","F"
76,0,-1,373,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2,x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2, x)","F"
77,0,-1,333,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2, x)","F"
78,0,-1,293,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i)^2, x)","F"
79,0,-1,192,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d + c*d*x*1i)^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((a + b*atan(c*x))^2*(d + c*d*x*1i)^2, x)","F"
80,0,-1,300,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x, x)","F"
81,0,-1,317,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^2, x)","F"
82,0,-1,337,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^3, x)","F"
83,0,-1,267,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2}{x^4} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^2)/x^4, x)","F"
84,0,-1,438,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3,x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3, x)","F"
85,0,-1,402,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3, x)","F"
86,0,-1,307,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(x*(a + b*atan(c*x))^2*(d + c*d*x*1i)^3, x)","F"
87,0,-1,226,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d + c*d*x*1i)^3,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((a + b*atan(c*x))^2*(d + c*d*x*1i)^3, x)","F"
88,0,-1,385,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x, x)","F"
89,0,-1,402,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^2, x)","F"
90,0,-1,416,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^3, x)","F"
91,0,-1,429,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^4} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^4, x)","F"
92,0,-1,293,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^5,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^5} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^5, x)","F"
93,0,-1,384,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^6,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^6} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^6, x)","F"
94,0,-1,513,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^7,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3}{x^7} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + c*d*x*1i)^3)/x^7, x)","F"
95,0,-1,356,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i),x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i), x)","F"
96,0,-1,277,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i),x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i), x)","F"
97,0,-1,192,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i),x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i), x)","F"
98,0,-1,98,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + c*d*x*1i),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + c*d*x*1i), x)","F"
99,0,-1,88,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)), x)","F"
100,0,-1,186,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)), x)","F"
101,0,-1,273,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^3*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^3\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^3*(d + c*d*x*1i)), x)","F"
102,0,-1,365,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^4*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^4\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^4*(d + c*d*x*1i)), x)","F"
103,0,-1,433,0.000000,"\text{Not used}","int((x^4*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2,x)","\int \frac{x^4\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^4*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2, x)","F"
104,0,-1,364,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2,x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2, x)","F"
105,0,-1,292,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2,x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2, x)","F"
106,0,-1,216,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2,x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^2, x)","F"
107,0,-1,122,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + c*d*x*1i)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + c*d*x*1i)^2, x)","F"
108,0,-1,221,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)^2), x)","F"
109,0,-1,306,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)^2), x)","F"
110,0,-1,403,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^3*(d + c*d*x*1i)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^3\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^3*(d + c*d*x*1i)^2), x)","F"
111,0,-1,462,0.000000,"\text{Not used}","int((x^4*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3,x)","\int \frac{x^4\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^4*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3, x)","F"
112,0,-1,383,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3,x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3, x)","F"
113,0,-1,304,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3,x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3, x)","F"
114,0,-1,178,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3,x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + c*d*x*1i)^3, x)","F"
115,0,-1,180,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + c*d*x*1i)^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + c*d*x*1i)^3, x)","F"
116,0,-1,299,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)^3),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + c*d*x*1i)^3), x)","F"
117,0,-1,391,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)^3),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + c*d*x*1i)^3), x)","F"
118,0,-1,207,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(c*x*1i + 1)^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(1+c\,x\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(c*x*1i + 1)^4, x)","F"
119,0,-1,76,0.000000,"\text{Not used}","int(atan(a*x)^2/(c*x - a*c*x^2*1i),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{c\,x-a\,c\,x^2\,1{}\mathrm{i}} \,d x","Not used",1,"int(atan(a*x)^2/(c*x - a*c*x^2*1i), x)","F"
120,0,-1,382,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3*(d + c*d*x*1i)^3,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((a + b*atan(c*x))^3*(d + c*d*x*1i)^3, x)","F"
121,0,-1,298,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3*(d + c*d*x*1i)^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3\,{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((a + b*atan(c*x))^3*(d + c*d*x*1i)^2, x)","F"
122,0,-1,220,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3*(d + c*d*x*1i),x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3\,\left(d+c\,d\,x\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((a + b*atan(c*x))^3*(d + c*d*x*1i), x)","F"
123,0,-1,139,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(d + c*d*x*1i),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(d + c*d*x*1i), x)","F"
124,0,-1,182,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(d + c*d*x*1i)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(d + c*d*x*1i)^2, x)","F"
125,0,-1,271,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(d + c*d*x*1i)^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(d + c*d*x*1i)^3, x)","F"
126,0,-1,360,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(d + c*d*x*1i)^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{{\left(d+c\,d\,x\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(d + c*d*x*1i)^4, x)","F"
127,0,-1,410,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^3)/(d + c*d*x*1i),x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^3)/(d + c*d*x*1i), x)","F"
128,0,-1,277,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^3)/(d + c*d*x*1i),x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^3)/(d + c*d*x*1i), x)","F"
129,0,-1,139,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(d + c*d*x*1i),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{d+c\,d\,x\,1{}\mathrm{i}} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(d + c*d*x*1i), x)","F"
130,0,-1,128,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(x*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(x*(d + c*d*x*1i)), x)","F"
131,0,-1,263,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(x^2*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^2\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(x^2*(d + c*d*x*1i)), x)","F"
132,0,-1,414,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/(x^3*(d + c*d*x*1i)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^3\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^3/(x^3*(d + c*d*x*1i)), x)","F"
133,0,-1,25,0.000000,"\text{Not used}","int(1/((a + b*atan(c*x))*(d + c*d*x*1i)),x)","\int \frac{1}{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+c\,d\,x\,1{}\mathrm{i}\right)} \,d x","Not used",0,"int(1/((a + b*atan(c*x))*(d + c*d*x*1i)), x)","F"
134,0,-1,297,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+e\,x} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x), x)","F"
135,0,-1,237,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + e*x), x)","F"
136,0,-1,179,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{d+e\,x} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + e*x), x)","F"
137,0,-1,138,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x), x)","F"
138,0,-1,181,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + e*x)), x)","F"
139,0,-1,232,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x)), x)","F"
140,0,-1,293,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + e*x)), x)","F"
141,0,-1,598,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + e*x),x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + e*x), x)","F"
142,0,-1,430,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + e*x),x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + e*x), x)","F"
143,0,-1,323,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + e*x),x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + e*x), x)","F"
144,0,-1,223,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + e*x),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + e*x), x)","F"
145,0,-1,369,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + e*x)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + e*x)), x)","F"
146,0,-1,473,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + e*x)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + e*x)), x)","F"
147,0,-1,591,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^3*(d + e*x)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^3*(d + e*x)), x)","F"
148,0,-1,21,0.000000,"\text{Not used}","int(1/((a + b*atan(c*x))*(d + e*x)),x)","\int \frac{1}{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,x\right)} \,d x","Not used",0,"int(1/((a + b*atan(c*x))*(d + e*x)), x)","F"
149,1,57,69,0.307135,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2),x)","-\frac{c\,\left(15\,\mathrm{atan}\left(a\,x\right)-15\,a\,x+5\,a^3\,x^3+6\,a^5\,x^5-45\,a^4\,x^4\,\mathrm{atan}\left(a\,x\right)-30\,a^6\,x^6\,\mathrm{atan}\left(a\,x\right)\right)}{180\,a^4}","Not used",1,"-(c*(15*atan(a*x) - 15*a*x + 5*a^3*x^3 + 6*a^5*x^5 - 45*a^4*x^4*atan(a*x) - 30*a^6*x^6*atan(a*x)))/(180*a^4)","B"
150,1,58,66,0.230022,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2),x)","\frac{\frac{c\,\ln\left(a^2\,x^2+1\right)}{15}-\frac{a^2\,c\,x^2}{15}}{a^3}+\frac{c\,x^3\,\mathrm{atan}\left(a\,x\right)}{3}-\frac{a\,c\,x^4}{20}+\frac{a^2\,c\,x^5\,\mathrm{atan}\left(a\,x\right)}{5}","Not used",1,"((c*log(a^2*x^2 + 1))/15 - (a^2*c*x^2)/15)/a^3 + (c*x^3*atan(a*x))/3 - (a*c*x^4)/20 + (a^2*c*x^5*atan(a*x))/5","B"
151,1,48,42,0.480415,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2),x)","\frac{\frac{c\,\mathrm{atan}\left(a\,x\right)}{4}-\frac{a\,c\,x}{4}}{a^2}+\frac{c\,x^2\,\mathrm{atan}\left(a\,x\right)}{2}-\frac{a\,c\,x^3}{12}+\frac{a^2\,c\,x^4\,\mathrm{atan}\left(a\,x\right)}{4}","Not used",1,"((c*atan(a*x))/4 - (a*c*x)/4)/a^2 + (c*x^2*atan(a*x))/2 - (a*c*x^3)/12 + (a^2*c*x^4*atan(a*x))/4","B"
152,1,46,50,0.163819,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2),x)","-\frac{c\,\left(2\,\ln\left(a^2\,x^2+1\right)+a^2\,x^2-2\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)-6\,a\,x\,\mathrm{atan}\left(a\,x\right)\right)}{6\,a}","Not used",1,"-(c*(2*log(a^2*x^2 + 1) + a^2*x^2 - 2*a^3*x^3*atan(a*x) - 6*a*x*atan(a*x)))/(6*a)","B"
153,1,57,62,0.545843,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2))/x,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ a^2\,c\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^2}+\frac{x^2}{2}\right)-\frac{a\,c\,x}{2}-\frac{c\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (c*(dilog(- a*x*1i + 1) - dilog(a*x*1i + 1))*1i)/2 - (a*c*x)/2 + a^2*c*atan(a*x)*(1/(2*a^2) + x^2/2))","B"
154,1,42,40,0.162572,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2))/x^2,x)","a^2\,c\,x\,\mathrm{atan}\left(a\,x\right)-\frac{c\,\mathrm{atan}\left(a\,x\right)}{x}-c\,\left(a\,\ln\left(a^2\,x^2+1\right)-a\,\ln\left(x\right)\right)","Not used",1,"a^2*c*x*atan(a*x) - (c*atan(a*x))/x - c*(a*log(a^2*x^2 + 1) - a*log(x))","B"
155,1,71,70,0.561233,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2))/x^3,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ -\frac{c\,\mathrm{atan}\left(a\,x\right)}{2\,x^2}-\frac{c\,\left(a^3\,\mathrm{atan}\left(a\,x\right)+\frac{a^2}{x}\right)}{2\,a}-\frac{a^2\,c\,{\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^2\,c\,{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (c*atan(a*x))/(2*x^2) - (a^2*c*dilog(- a*x*1i + 1)*1i)/2 + (a^2*c*dilog(a*x*1i + 1)*1i)/2 - (c*(a^3*atan(a*x) + a^2/x))/(2*a))","B"
156,1,57,63,0.145583,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2))/x^4,x)","\frac{c\,\left(4\,a^3\,\ln\left(x\right)-2\,a^3\,\ln\left(a^2\,x^2+1\right)\right)}{6}-\frac{\frac{c\,\mathrm{atan}\left(a\,x\right)}{3}+\frac{a\,c\,x}{6}+a^2\,c\,x^2\,\mathrm{atan}\left(a\,x\right)}{x^3}","Not used",1,"(c*(4*a^3*log(x) - 2*a^3*log(a^2*x^2 + 1)))/6 - ((c*atan(a*x))/3 + (a*c*x)/6 + a^2*c*x^2*atan(a*x))/x^3","B"
157,1,89,111,0.416722,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2)^2,x)","\mathrm{atan}\left(a\,x\right)\,\left(\frac{a^4\,c^2\,x^8}{8}+\frac{a^2\,c^2\,x^6}{3}+\frac{c^2\,x^4}{4}\right)+\frac{c^2\,x}{24\,a^3}-\frac{a\,c^2\,x^5}{24}-\frac{c^2\,\mathrm{atan}\left(a\,x\right)}{24\,a^4}-\frac{c^2\,x^3}{72\,a}-\frac{a^3\,c^2\,x^7}{56}","Not used",1,"atan(a*x)*((c^2*x^4)/4 + (a^2*c^2*x^6)/3 + (a^4*c^2*x^8)/8) + (c^2*x)/(24*a^3) - (a*c^2*x^5)/24 - (c^2*atan(a*x))/(24*a^4) - (c^2*x^3)/(72*a) - (a^3*c^2*x^7)/56","B"
158,1,81,106,0.535837,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2)^2,x)","\frac{c^2\,\left(16\,\ln\left(a^2\,x^2+1\right)-16\,a^2\,x^2-27\,a^4\,x^4-10\,a^6\,x^6+140\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)+168\,a^5\,x^5\,\mathrm{atan}\left(a\,x\right)+60\,a^7\,x^7\,\mathrm{atan}\left(a\,x\right)\right)}{420\,a^3}","Not used",1,"(c^2*(16*log(a^2*x^2 + 1) - 16*a^2*x^2 - 27*a^4*x^4 - 10*a^6*x^6 + 140*a^3*x^3*atan(a*x) + 168*a^5*x^5*atan(a*x) + 60*a^7*x^7*atan(a*x)))/(420*a^3)","B"
159,1,71,61,0.545724,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2)^2,x)","\frac{c^2\,\left(15\,\mathrm{atan}\left(a\,x\right)-15\,a\,x-10\,a^3\,x^3-3\,a^5\,x^5+45\,a^2\,x^2\,\mathrm{atan}\left(a\,x\right)+45\,a^4\,x^4\,\mathrm{atan}\left(a\,x\right)+15\,a^6\,x^6\,\mathrm{atan}\left(a\,x\right)\right)}{90\,a^2}","Not used",1,"(c^2*(15*atan(a*x) - 15*a*x - 10*a^3*x^3 - 3*a^5*x^5 + 45*a^2*x^2*atan(a*x) + 45*a^4*x^4*atan(a*x) + 15*a^6*x^6*atan(a*x)))/(90*a^2)","B"
160,1,69,117,0.197588,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2)^2,x)","-\frac{c^2\,\left(16\,\ln\left(a^2\,x^2+1\right)+14\,a^2\,x^2+3\,a^4\,x^4-40\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)-12\,a^5\,x^5\,\mathrm{atan}\left(a\,x\right)-60\,a\,x\,\mathrm{atan}\left(a\,x\right)\right)}{60\,a}","Not used",1,"-(c^2*(16*log(a^2*x^2 + 1) + 14*a^2*x^2 + 3*a^4*x^4 - 40*a^3*x^3*atan(a*x) - 12*a^5*x^5*atan(a*x) - 60*a*x*atan(a*x)))/(60*a)","B"
161,1,105,99,0.608078,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^2)/x,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ 2\,a^2\,c^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^2}+\frac{x^2}{2}\right)-a\,c^2\,x-\frac{c^2\,\left(3\,\mathrm{atan}\left(a\,x\right)-3\,a\,x+a^3\,x^3\right)}{12}+\frac{a^4\,c^2\,x^4\,\mathrm{atan}\left(a\,x\right)}{4}-\frac{c^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{c^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (c^2*dilog(- a*x*1i + 1)*1i)/2 + (c^2*dilog(a*x*1i + 1)*1i)/2 - (c^2*(3*atan(a*x) - 3*a*x + a^3*x^3))/12 - a*c^2*x + 2*a^2*c^2*atan(a*x)*(1/(2*a^2) + x^2/2) + (a^4*c^2*x^4*atan(a*x))/4)","B"
162,1,76,81,0.211755,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^2)/x^2,x)","\frac{a^4\,c^2\,x^3\,\mathrm{atan}\left(a\,x\right)}{3}-\frac{c^2\,\mathrm{atan}\left(a\,x\right)}{x}-\frac{a^3\,c^2\,x^2}{6}-\frac{c^2\,\left(8\,a\,\ln\left(a^2\,x^2+1\right)-6\,a\,\ln\left(x\right)\right)}{6}+2\,a^2\,c^2\,x\,\mathrm{atan}\left(a\,x\right)","Not used",1,"(a^4*c^2*x^3*atan(a*x))/3 - (c^2*atan(a*x))/x - (a^3*c^2*x^2)/6 - (c^2*(8*a*log(a^2*x^2 + 1) - 6*a*log(x)))/6 + 2*a^2*c^2*x*atan(a*x)","B"
163,1,110,90,0.498303,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^2)/x^3,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ a^4\,c^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^2}+\frac{x^2}{2}\right)-\frac{c^2\,\mathrm{atan}\left(a\,x\right)}{2\,x^2}-\frac{c^2\,\left(a^3\,\mathrm{atan}\left(a\,x\right)+\frac{a^2}{x}\right)}{2\,a}-\frac{a^3\,c^2\,x}{2}-a^2\,c^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+a^2\,c^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (a^3*c^2*x)/2 - (c^2*atan(a*x))/(2*x^2) - a^2*c^2*dilog(- a*x*1i + 1)*1i + a^2*c^2*dilog(a*x*1i + 1)*1i - (c^2*(a^3*atan(a*x) + a^2/x))/(2*a) + a^4*c^2*atan(a*x)*(1/(2*a^2) + x^2/2))","B"
164,1,78,85,0.465880,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^2)/x^4,x)","\frac{c^2\,\left(10\,a^3\,\ln\left(x\right)-8\,a^3\,\ln\left(a^2\,x^2+1\right)\right)}{6}-\frac{\frac{c^2\,\mathrm{atan}\left(a\,x\right)}{3}+\frac{a\,c^2\,x}{6}+2\,a^2\,c^2\,x^2\,\mathrm{atan}\left(a\,x\right)}{x^3}+a^4\,c^2\,x\,\mathrm{atan}\left(a\,x\right)","Not used",1,"(c^2*(10*a^3*log(x) - 8*a^3*log(a^2*x^2 + 1)))/6 - ((c^2*atan(a*x))/3 + (a*c^2*x)/6 + 2*a^2*c^2*x^2*atan(a*x))/x^3 + a^4*c^2*x*atan(a*x)","B"
165,1,111,141,0.436593,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2)^3,x)","\mathrm{atan}\left(a\,x\right)\,\left(\frac{a^6\,c^3\,x^{10}}{10}+\frac{3\,a^4\,c^3\,x^8}{8}+\frac{a^2\,c^3\,x^6}{2}+\frac{c^3\,x^4}{4}\right)+\frac{c^3\,x}{40\,a^3}-\frac{9\,a\,c^3\,x^5}{200}-\frac{c^3\,\mathrm{atan}\left(a\,x\right)}{40\,a^4}-\frac{c^3\,x^3}{120\,a}-\frac{11\,a^3\,c^3\,x^7}{280}-\frac{a^5\,c^3\,x^9}{90}","Not used",1,"atan(a*x)*((c^3*x^4)/4 + (a^2*c^3*x^6)/2 + (3*a^4*c^3*x^8)/8 + (a^6*c^3*x^10)/10) + (c^3*x)/(40*a^3) - (9*a*c^3*x^5)/200 - (c^3*atan(a*x))/(40*a^4) - (c^3*x^3)/(120*a) - (11*a^3*c^3*x^7)/280 - (a^5*c^3*x^9)/90","B"
166,1,108,136,0.437712,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2)^3,x)","\mathrm{atan}\left(a\,x\right)\,\left(\frac{a^6\,c^3\,x^9}{9}+\frac{3\,a^4\,c^3\,x^7}{7}+\frac{3\,a^2\,c^3\,x^5}{5}+\frac{c^3\,x^3}{3}\right)-\frac{89\,a\,c^3\,x^4}{1260}+\frac{8\,c^3\,\ln\left(a^2\,x^2+1\right)}{315\,a^3}-\frac{8\,c^3\,x^2}{315\,a}-\frac{10\,a^3\,c^3\,x^6}{189}-\frac{a^5\,c^3\,x^8}{72}","Not used",1,"atan(a*x)*((c^3*x^3)/3 + (3*a^2*c^3*x^5)/5 + (3*a^4*c^3*x^7)/7 + (a^6*c^3*x^9)/9) - (89*a*c^3*x^4)/1260 + (8*c^3*log(a^2*x^2 + 1))/(315*a^3) - (8*c^3*x^2)/(315*a) - (10*a^3*c^3*x^6)/189 - (a^5*c^3*x^8)/72","B"
167,1,100,74,0.413378,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2)^3,x)","\mathrm{atan}\left(a\,x\right)\,\left(\frac{a^6\,c^3\,x^8}{8}+\frac{a^4\,c^3\,x^6}{2}+\frac{3\,a^2\,c^3\,x^4}{4}+\frac{c^3\,x^2}{2}\right)-\frac{c^3\,x}{8\,a}-\frac{a\,c^3\,x^3}{8}+\frac{c^3\,\mathrm{atan}\left(a\,x\right)}{8\,a^2}-\frac{3\,a^3\,c^3\,x^5}{40}-\frac{a^5\,c^3\,x^7}{56}","Not used",1,"atan(a*x)*((c^3*x^2)/2 + (3*a^2*c^3*x^4)/4 + (a^4*c^3*x^6)/2 + (a^6*c^3*x^8)/8) - (c^3*x)/(8*a) - (a*c^3*x^3)/8 + (c^3*atan(a*x))/(8*a^2) - (3*a^3*c^3*x^5)/40 - (a^5*c^3*x^7)/56","B"
168,1,89,161,0.246092,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2)^3,x)","-\frac{c^3\,\left(48\,\ln\left(a^2\,x^2+1\right)+57\,a^2\,x^2+24\,a^4\,x^4+5\,a^6\,x^6-210\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)-126\,a^5\,x^5\,\mathrm{atan}\left(a\,x\right)-30\,a^7\,x^7\,\mathrm{atan}\left(a\,x\right)-210\,a\,x\,\mathrm{atan}\left(a\,x\right)\right)}{210\,a}","Not used",1,"-(c^3*(48*log(a^2*x^2 + 1) + 57*a^2*x^2 + 24*a^4*x^4 + 5*a^6*x^6 - 210*a^3*x^3*atan(a*x) - 126*a^5*x^5*atan(a*x) - 30*a^7*x^7*atan(a*x) - 210*a*x*atan(a*x)))/(210*a)","B"
169,1,156,132,0.667283,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^3)/x,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ 3\,a^2\,c^3\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^2}+\frac{x^2}{2}\right)-\frac{a^5\,c^3\,\left(\frac{x}{a^4}-\frac{\mathrm{atan}\left(a\,x\right)}{a^5}+\frac{x^5}{5}-\frac{x^3}{3\,a^2}\right)}{6}-\frac{3\,a\,c^3\,x}{2}-\frac{c^3\,\left(3\,\mathrm{atan}\left(a\,x\right)-3\,a\,x+a^3\,x^3\right)}{4}+\frac{3\,a^4\,c^3\,x^4\,\mathrm{atan}\left(a\,x\right)}{4}+\frac{a^6\,c^3\,x^6\,\mathrm{atan}\left(a\,x\right)}{6}-\frac{c^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{c^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (c^3*dilog(- a*x*1i + 1)*1i)/2 + (c^3*dilog(a*x*1i + 1)*1i)/2 - (c^3*(3*atan(a*x) - 3*a*x + a^3*x^3))/4 - (a^5*c^3*(x/a^4 - atan(a*x)/a^5 + x^5/5 - x^3/(3*a^2)))/6 - (3*a*c^3*x)/2 + 3*a^2*c^3*atan(a*x)*(1/(2*a^2) + x^2/2) + (3*a^4*c^3*x^4*atan(a*x))/4 + (a^6*c^3*x^6*atan(a*x))/6)","B"
170,1,85,108,0.563115,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^3)/x^2,x)","-\frac{c^3\,\left(\mathrm{atan}\left(a\,x\right)+\frac{2\,a^3\,x^3}{5}+\frac{a^5\,x^5}{20}-a\,x\,\ln\left(x\right)-3\,a^2\,x^2\,\mathrm{atan}\left(a\,x\right)-a^4\,x^4\,\mathrm{atan}\left(a\,x\right)-\frac{a^6\,x^6\,\mathrm{atan}\left(a\,x\right)}{5}+\frac{8\,a\,x\,\ln\left(a^2\,x^2+1\right)}{5}\right)}{x}","Not used",1,"-(c^3*(atan(a*x) + (2*a^3*x^3)/5 + (a^5*x^5)/20 - a*x*log(x) - 3*a^2*x^2*atan(a*x) - a^4*x^4*atan(a*x) - (a^6*x^6*atan(a*x))/5 + (8*a*x*log(a^2*x^2 + 1))/5))/x","B"
171,1,152,138,0.566532,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^3)/x^3,x)","\left\{\begin{array}{cl} 0 & \text{\ if\ \ }a=0\\ 3\,a^4\,c^3\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^2}+\frac{x^2}{2}\right)-\frac{a^2\,c^3\,\left(3\,\mathrm{atan}\left(a\,x\right)-3\,a\,x+a^3\,x^3\right)}{12}-\frac{c^3\,\mathrm{atan}\left(a\,x\right)}{2\,x^2}-\frac{c^3\,\left(a^3\,\mathrm{atan}\left(a\,x\right)+\frac{a^2}{x}\right)}{2\,a}-\frac{3\,a^3\,c^3\,x}{2}+\frac{a^6\,c^3\,x^4\,\mathrm{atan}\left(a\,x\right)}{4}-\frac{a^2\,c^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-a\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}+\frac{a^2\,c^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+a\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2} & \text{\ if\ \ }a\neq 0 \end{array}\right.","Not used",1,"piecewise(a == 0, 0, a ~= 0, - (3*a^3*c^3*x)/2 - (a^2*c^3*(3*atan(a*x) - 3*a*x + a^3*x^3))/12 - (c^3*atan(a*x))/(2*x^2) - (a^2*c^3*dilog(- a*x*1i + 1)*3i)/2 + (a^2*c^3*dilog(a*x*1i + 1)*3i)/2 - (c^3*(a^3*atan(a*x) + a^2/x))/(2*a) + 3*a^4*c^3*atan(a*x)*(1/(2*a^2) + x^2/2) + (a^6*c^3*x^4*atan(a*x))/4)","B"
172,1,97,116,0.535920,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^3)/x^4,x)","-\frac{c^3\,\left(2\,\mathrm{atan}\left(a\,x\right)+a\,x-a^3\,x^3+a^5\,x^5+18\,a^2\,x^2\,\mathrm{atan}\left(a\,x\right)-18\,a^4\,x^4\,\mathrm{atan}\left(a\,x\right)-2\,a^6\,x^6\,\mathrm{atan}\left(a\,x\right)+16\,a^3\,x^3\,\ln\left(a^2\,x^2+1\right)-16\,a^3\,x^3\,\ln\left(x\right)\right)}{6\,x^3}","Not used",1,"-(c^3*(2*atan(a*x) + a*x - a^3*x^3 + a^5*x^5 + 18*a^2*x^2*atan(a*x) - 18*a^4*x^4*atan(a*x) - 2*a^6*x^6*atan(a*x) + 16*a^3*x^3*log(a^2*x^2 + 1) - 16*a^3*x^3*log(x)))/(6*x^3)","B"
173,1,73,80,0.168964,"\text{Not used}","int((x^4*atan(a*x))/(c + a^2*c*x^2),x)","\frac{2\,\ln\left(a^2\,x^2+1\right)}{3\,a^5\,c}-a^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{x}{a^6\,c}-\frac{x^3}{3\,a^4\,c}\right)-\frac{x^2}{6\,a^3\,c}+\frac{{\mathrm{atan}\left(a\,x\right)}^2}{2\,a^5\,c}","Not used",1,"(2*log(a^2*x^2 + 1))/(3*a^5*c) - a^2*atan(a*x)*(x/(a^6*c) - x^3/(3*a^4*c)) - x^2/(6*a^3*c) + atan(a*x)^2/(2*a^5*c)","B"
174,0,-1,113,0.000000,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2),x)","\int \frac{x^3\,\mathrm{atan}\left(a\,x\right)}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^3*atan(a*x))/(c + a^2*c*x^2), x)","F"
175,1,33,49,0.156632,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2),x)","-\frac{{\mathrm{atan}\left(a\,x\right)}^2-2\,a\,x\,\mathrm{atan}\left(a\,x\right)+\ln\left(a^2\,x^2+1\right)}{2\,a^3\,c}","Not used",1,"-(log(a^2*x^2 + 1) + atan(a*x)^2 - 2*a*x*atan(a*x))/(2*a^3*c)","B"
176,0,-1,72,0.000000,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2),x)","\int \frac{x\,\mathrm{atan}\left(a\,x\right)}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x*atan(a*x))/(c + a^2*c*x^2), x)","F"
177,1,14,16,0.384997,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2),x)","\frac{{\mathrm{atan}\left(a\,x\right)}^2}{2\,a\,c}","Not used",1,"atan(a*x)^2/(2*a*c)","B"
178,0,-1,64,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)), x)","F"
179,1,48,52,0.454784,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)),x)","\frac{a\,\ln\left(x\right)}{c}-\frac{a\,\ln\left(a^2\,x^2+1\right)}{2\,c}-\frac{a\,{\mathrm{atan}\left(a\,x\right)}^2}{2\,c}-\frac{\mathrm{atan}\left(a\,x\right)}{c\,x}","Not used",1,"(a*log(x))/c - (a*log(a^2*x^2 + 1))/(2*c) - (a*atan(a*x)^2)/(2*c) - atan(a*x)/(c*x)","B"
180,0,-1,113,0.000000,"\text{Not used}","int(atan(a*x)/(x^3*(c + a^2*c*x^2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)/(x^3*(c + a^2*c*x^2)), x)","F"
181,1,78,88,0.469497,"\text{Not used}","int(atan(a*x)/(x^4*(c + a^2*c*x^2)),x)","\frac{2\,a^3\,\ln\left(a^2\,x^2+1\right)}{3\,c}-\frac{\mathrm{atan}\left(a\,x\right)}{3\,c\,x^3}-\frac{a}{6\,c\,x^2}-\frac{4\,a^3\,\ln\left(x\right)}{3\,c}+\frac{a^3\,{\mathrm{atan}\left(a\,x\right)}^2}{2\,c}+\frac{a^2\,\mathrm{atan}\left(a\,x\right)}{c\,x}","Not used",1,"(2*a^3*log(a^2*x^2 + 1))/(3*c) - atan(a*x)/(3*c*x^3) - a/(6*c*x^2) - (4*a^3*log(x))/(3*c) + (a^3*atan(a*x)^2)/(2*c) + (a^2*atan(a*x))/(c*x)","B"
182,0,-1,157,0.000000,"\text{Not used}","int((x^5*atan(a*x))/(c + a^2*c*x^2)^2,x)","\int \frac{x^5\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^5*atan(a*x))/(c + a^2*c*x^2)^2, x)","F"
183,1,94,96,0.457817,"\text{Not used}","int((x^4*atan(a*x))/(c + a^2*c*x^2)^2,x)","\frac{1}{2\,a^2\,\left(2\,a^5\,c^2\,x^2+2\,a^3\,c^2\right)}-\frac{\ln\left(a^2\,x^2+1\right)}{2\,a^5\,c^2}+\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{3\,x}{2\,a^6\,c^2}+\frac{x^3}{a^4\,c^2}\right)}{\frac{1}{a^2}+x^2}-\frac{3\,{\mathrm{atan}\left(a\,x\right)}^2}{4\,a^5\,c^2}","Not used",1,"1/(2*a^2*(2*a^3*c^2 + 2*a^5*c^2*x^2)) - log(a^2*x^2 + 1)/(2*a^5*c^2) + (atan(a*x)*((3*x)/(2*a^6*c^2) + x^3/(a^4*c^2)))/(1/a^2 + x^2) - (3*atan(a*x)^2)/(4*a^5*c^2)","B"
184,0,-1,133,0.000000,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^3*atan(a*x))/(c + a^2*c*x^2)^2, x)","F"
185,1,48,64,0.401149,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2)^2,x)","\frac{a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2-2\,a\,x\,\mathrm{atan}\left(a\,x\right)+{\mathrm{atan}\left(a\,x\right)}^2-1}{4\,a^3\,c^2\,\left(a^2\,x^2+1\right)}","Not used",1,"(atan(a*x)^2 - 2*a*x*atan(a*x) + a^2*x^2*atan(a*x)^2 - 1)/(4*a^3*c^2*(a^2*x^2 + 1))","B"
186,1,40,62,0.165132,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2)^2,x)","\frac{a\,x-\mathrm{atan}\left(a\,x\right)+a^2\,x^2\,\mathrm{atan}\left(a\,x\right)}{4\,a^2\,c^2\,\left(a^2\,x^2+1\right)}","Not used",1,"(a*x - atan(a*x) + a^2*x^2*atan(a*x))/(4*a^2*c^2*(a^2*x^2 + 1))","B"
187,1,48,61,0.420028,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2)^2,x)","\frac{a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+2\,a\,x\,\mathrm{atan}\left(a\,x\right)+{\mathrm{atan}\left(a\,x\right)}^2+1}{4\,a\,c^2\,\left(a^2\,x^2+1\right)}","Not used",1,"(atan(a*x)^2 + 2*a*x*atan(a*x) + a^2*x^2*atan(a*x)^2 + 1)/(4*a*c^2*(a^2*x^2 + 1))","B"
188,0,-1,117,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)^2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)^2), x)","F"
189,1,91,97,0.484609,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)^2),x)","\frac{a\,\ln\left(x\right)}{c^2}-\frac{a\,\ln\left(a^2\,x^2+1\right)}{2\,c^2}-\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{a^2\,c^2}+\frac{3\,x^2}{2\,c^2}\right)}{\frac{x}{a^2}+x^3}-\frac{a}{2\,\left(2\,a^2\,c^2\,x^2+2\,c^2\right)}-\frac{3\,a\,{\mathrm{atan}\left(a\,x\right)}^2}{4\,c^2}","Not used",1,"(a*log(x))/c^2 - (a*log(a^2*x^2 + 1))/(2*c^2) - (atan(a*x)*(1/(a^2*c^2) + (3*x^2)/(2*c^2)))/(x/a^2 + x^3) - a/(2*(2*c^2 + 2*a^2*c^2*x^2)) - (3*a*atan(a*x)^2)/(4*c^2)","B"
190,0,-1,156,0.000000,"\text{Not used}","int(atan(a*x)/(x^3*(c + a^2*c*x^2)^2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)/(x^3*(c + a^2*c*x^2)^2), x)","F"
191,1,123,136,0.545493,"\text{Not used}","int(atan(a*x)/(x^4*(c + a^2*c*x^2)^2),x)","\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{5\,x^2}{3\,c^2}-\frac{1}{3\,a^2\,c^2}+\frac{5\,a^2\,x^4}{2\,c^2}\right)}{x^5+\frac{x^3}{a^2}}-\frac{a-\frac{a^3\,x^2}{2}}{6\,a^2\,c^2\,x^4+6\,c^2\,x^2}+\frac{7\,a^3\,\ln\left(a^2\,x^2+1\right)}{6\,c^2}-\frac{7\,a^3\,\ln\left(x\right)}{3\,c^2}+\frac{5\,a^3\,{\mathrm{atan}\left(a\,x\right)}^2}{4\,c^2}","Not used",1,"(atan(a*x)*((5*x^2)/(3*c^2) - 1/(3*a^2*c^2) + (5*a^2*x^4)/(2*c^2)))/(x^5 + x^3/a^2) - (a - (a^3*x^2)/2)/(6*c^2*x^2 + 6*a^2*c^2*x^4) + (7*a^3*log(a^2*x^2 + 1))/(6*c^2) - (7*a^3*log(x))/(3*c^2) + (5*a^3*atan(a*x)^2)/(4*c^2)","B"
192,1,62,86,0.500256,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{3\,a\,x-3\,\mathrm{atan}\left(a\,x\right)+5\,a^3\,x^3-6\,a^2\,x^2\,\mathrm{atan}\left(a\,x\right)+5\,a^4\,x^4\,\mathrm{atan}\left(a\,x\right)}{32\,a^4\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(3*a*x - 3*atan(a*x) + 5*a^3*x^3 - 6*a^2*x^2*atan(a*x) + 5*a^4*x^4*atan(a*x))/(32*a^4*c^3*(a^2*x^2 + 1)^2)","B"
193,1,80,111,0.467965,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{a^4\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2+2\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)+2\,a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+a^2\,x^2-2\,a\,x\,\mathrm{atan}\left(a\,x\right)+{\mathrm{atan}\left(a\,x\right)}^2}{16\,a^3\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(a^2*x^2 + atan(a*x)^2 + 2*a^3*x^3*atan(a*x) - 2*a*x*atan(a*x) + 2*a^2*x^2*atan(a*x)^2 + a^4*x^4*atan(a*x)^2)/(16*a^3*c^3*(a^2*x^2 + 1)^2)","B"
194,1,103,84,0.481679,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2)^3,x)","\frac{\frac{5\,x}{32\,a}+\frac{a\,x^3}{4}-\frac{\mathrm{atan}\left(a\,x\right)}{4\,a^2}-\frac{x^2\,\mathrm{atan}\left(a\,x\right)}{4}+\frac{3\,a^3\,x^5}{32}}{a^6\,c^3\,x^6+3\,a^4\,c^3\,x^4+3\,a^2\,c^3\,x^2+c^3}+\frac{3\,\mathrm{atan}\left(\frac{a^2\,x}{\sqrt{a^2}}\right)}{32\,a\,c^3\,\sqrt{a^2}}","Not used",1,"((5*x)/(32*a) + (a*x^3)/4 - atan(a*x)/(4*a^2) - (x^2*atan(a*x))/4 + (3*a^3*x^5)/32)/(c^3 + 3*a^2*c^3*x^2 + 3*a^4*c^3*x^4 + a^6*c^3*x^6) + (3*atan((a^2*x)/(a^2)^(1/2)))/(32*a*c^3*(a^2)^(1/2))","B"
195,1,85,105,0.479129,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2)^3,x)","\frac{3\,a^4\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2+6\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)+6\,a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+3\,a^2\,x^2+10\,a\,x\,\mathrm{atan}\left(a\,x\right)+3\,{\mathrm{atan}\left(a\,x\right)}^2+4}{16\,a\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(3*a^2*x^2 + 3*atan(a*x)^2 + 6*a^3*x^3*atan(a*x) + 10*a*x*atan(a*x) + 6*a^2*x^2*atan(a*x)^2 + 3*a^4*x^4*atan(a*x)^2 + 4)/(16*a*c^3*(a^2*x^2 + 1)^2)","B"
196,0,-1,159,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)^3),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)^3), x)","F"
197,1,133,142,0.570948,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)^3),x)","\frac{a\,\ln\left(x\right)}{c^3}-\frac{a\,\ln\left(a^2\,x^2+1\right)}{2\,c^3}-\frac{\frac{7\,a^3\,x^2}{2}+4\,a}{8\,a^4\,c^3\,x^4+16\,a^2\,c^3\,x^2+8\,c^3}-\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{a^2\,c^3}+\frac{25\,x^2}{8\,c^3}+\frac{15\,a^2\,x^4}{8\,c^3}\right)}{\frac{x}{a^2}+2\,x^3+a^2\,x^5}-\frac{15\,a\,{\mathrm{atan}\left(a\,x\right)}^2}{16\,c^3}","Not used",1,"(a*log(x))/c^3 - (a*log(a^2*x^2 + 1))/(2*c^3) - (4*a + (7*a^3*x^2)/2)/(8*c^3 + 16*a^2*c^3*x^2 + 8*a^4*c^3*x^4) - (atan(a*x)*(1/(a^2*c^3) + (25*x^2)/(8*c^3) + (15*a^2*x^4)/(8*c^3)))/(x/a^2 + 2*x^3 + a^2*x^5) - (15*a*atan(a*x)^2)/(16*c^3)","B"
198,0,-1,205,0.000000,"\text{Not used}","int(atan(a*x)/(x^3*(c + a^2*c*x^2)^3),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)/(x^3*(c + a^2*c*x^2)^3), x)","F"
199,1,163,183,0.593517,"\text{Not used}","int(atan(a*x)/(x^4*(c + a^2*c*x^2)^3),x)","\frac{\frac{25\,a^5\,x^4}{2}+10\,a^3\,x^2-4\,a}{24\,a^4\,c^3\,x^6+48\,a^2\,c^3\,x^4+24\,c^3\,x^2}+\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{7\,x^2}{3\,c^3}-\frac{1}{3\,a^2\,c^3}+\frac{175\,a^2\,x^4}{24\,c^3}+\frac{35\,a^4\,x^6}{8\,c^3}\right)}{2\,x^5+\frac{x^3}{a^2}+a^2\,x^7}+\frac{5\,a^3\,\ln\left(a^2\,x^2+1\right)}{3\,c^3}-\frac{10\,a^3\,\ln\left(x\right)}{3\,c^3}+\frac{35\,a^3\,{\mathrm{atan}\left(a\,x\right)}^2}{16\,c^3}","Not used",1,"(10*a^3*x^2 - 4*a + (25*a^5*x^4)/2)/(24*c^3*x^2 + 48*a^2*c^3*x^4 + 24*a^4*c^3*x^6) + (atan(a*x)*((7*x^2)/(3*c^3) - 1/(3*a^2*c^3) + (175*a^2*x^4)/(24*c^3) + (35*a^4*x^6)/(8*c^3)))/(2*x^5 + x^3/a^2 + a^2*x^7) + (5*a^3*log(a^2*x^2 + 1))/(3*c^3) - (10*a^3*log(x))/(3*c^3) + (35*a^3*atan(a*x)^2)/(16*c^3)","B"
200,0,-1,160,0.000000,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2)^(1/2),x)","\int x^3\,\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^3*atan(a*x)*(c + a^2*c*x^2)^(1/2), x)","F"
201,0,-1,298,0.000000,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^2*atan(a*x)*(c + a^2*c*x^2)^(1/2), x)","F"
202,0,-1,86,0.000000,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2)^(1/2),x)","\int x\,\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x*atan(a*x)*(c + a^2*c*x^2)^(1/2), x)","F"
203,0,-1,244,0.000000,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2)^(1/2),x)","\int \mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(atan(a*x)*(c + a^2*c*x^2)^(1/2), x)","F"
204,0,-1,229,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}}{x} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x, x)","F"
205,0,-1,242,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^2,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}}{x^2} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^2, x)","F"
206,0,-1,240,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^3,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}}{x^3} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^3, x)","F"
207,0,-1,84,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^4,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}}{x^4} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(1/2))/x^4, x)","F"
208,0,-1,217,0.000000,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2)^(3/2),x)","\int x^3\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^3*atan(a*x)*(c + a^2*c*x^2)^(3/2), x)","F"
209,0,-1,357,0.000000,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^2*atan(a*x)*(c + a^2*c*x^2)^(3/2), x)","F"
210,0,-1,109,0.000000,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2)^(3/2),x)","\int x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x*atan(a*x)*(c + a^2*c*x^2)^(3/2), x)","F"
211,0,-1,298,0.000000,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2)^(3/2),x)","\int \mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(atan(a*x)*(c + a^2*c*x^2)^(3/2), x)","F"
212,0,-1,281,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x, x)","F"
213,0,-1,300,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^2,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^2, x)","F"
214,0,-1,304,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^3,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^3, x)","F"
215,0,-1,310,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^4,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(3/2))/x^4, x)","F"
216,0,-1,289,0.000000,"\text{Not used}","int(x^3*atan(a*x)*(c + a^2*c*x^2)^(5/2),x)","\int x^3\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^3*atan(a*x)*(c + a^2*c*x^2)^(5/2), x)","F"
217,0,-1,418,0.000000,"\text{Not used}","int(x^2*atan(a*x)*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^2*atan(a*x)*(c + a^2*c*x^2)^(5/2), x)","F"
218,0,-1,134,0.000000,"\text{Not used}","int(x*atan(a*x)*(c + a^2*c*x^2)^(5/2),x)","\int x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x*atan(a*x)*(c + a^2*c*x^2)^(5/2), x)","F"
219,0,-1,348,0.000000,"\text{Not used}","int(atan(a*x)*(c + a^2*c*x^2)^(5/2),x)","\int \mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(atan(a*x)*(c + a^2*c*x^2)^(5/2), x)","F"
220,0,-1,329,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x, x)","F"
221,0,-1,355,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^2,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^2, x)","F"
222,0,-1,364,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^3,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^3, x)","F"
223,0,-1,372,0.000000,"\text{Not used}","int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^4,x)","\int \frac{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)*(c + a^2*c*x^2)^(5/2))/x^4, x)","F"
224,0,-1,120,0.000000,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,\mathrm{atan}\left(a\,x\right)}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^3*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
225,0,-1,250,0.000000,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,\mathrm{atan}\left(a\,x\right)}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^2*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
226,0,-1,59,0.000000,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,\mathrm{atan}\left(a\,x\right)}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
227,0,-1,193,0.000000,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)/(c + a^2*c*x^2)^(1/2), x)","F"
228,0,-1,177,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
229,0,-1,56,0.000000,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
230,0,-1,242,0.000000,"\text{Not used}","int(atan(a*x)/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
231,0,-1,118,0.000000,"\text{Not used}","int(atan(a*x)/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
232,0,-1,107,0.000000,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^3*atan(a*x))/(c + a^2*c*x^2)^(3/2), x)","F"
233,0,-1,251,0.000000,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^2*atan(a*x))/(c + a^2*c*x^2)^(3/2), x)","F"
234,0,-1,49,0.000000,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x))/(c + a^2*c*x^2)^(3/2), x)","F"
235,0,-1,45,0.000000,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)/(c + a^2*c*x^2)^(3/2), x)","F"
236,0,-1,229,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
237,0,-1,103,0.000000,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(3/2)), x)","F"
238,0,-1,300,0.000000,"\text{Not used}","int(atan(a*x)/(x^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)/(x^3*(c + a^2*c*x^2)^(3/2)), x)","F"
239,0,-1,165,0.000000,"\text{Not used}","int(atan(a*x)/(x^4*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^4\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)/(x^4*(c + a^2*c*x^2)^(3/2)), x)","F"
240,0,-1,170,0.000000,"\text{Not used}","int((x^5*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^5\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^5*atan(a*x))/(c + a^2*c*x^2)^(5/2), x)","F"
241,0,-1,308,0.000000,"\text{Not used}","int((x^4*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^4*atan(a*x))/(c + a^2*c*x^2)^(5/2), x)","F"
242,0,-1,112,0.000000,"\text{Not used}","int((x^3*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x))/(c + a^2*c*x^2)^(5/2), x)","F"
243,0,-1,77,0.000000,"\text{Not used}","int((x^2*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x))/(c + a^2*c*x^2)^(5/2), x)","F"
244,0,-1,79,0.000000,"\text{Not used}","int((x*atan(a*x))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x))/(c + a^2*c*x^2)^(5/2), x)","F"
245,0,-1,101,0.000000,"\text{Not used}","int(atan(a*x)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)/(c + a^2*c*x^2)^(5/2), x)","F"
246,0,-1,279,0.000000,"\text{Not used}","int(atan(a*x)/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
247,0,-1,158,0.000000,"\text{Not used}","int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)/(x^2*(c + a^2*c*x^2)^(5/2)), x)","F"
248,0,-1,270,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2)^3,x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(x^m*atan(a*x)*(c + a^2*c*x^2)^3, x)","F"
249,0,-1,201,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2)^2,x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(x^m*atan(a*x)*(c + a^2*c*x^2)^2, x)","F"
250,0,-1,124,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2),x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x^m*atan(a*x)*(c + a^2*c*x^2), x)","F"
251,0,-1,23,0.000000,"\text{Not used}","int((x^m*atan(a*x))/(c + a^2*c*x^2),x)","\int \frac{x^m\,\mathrm{atan}\left(a\,x\right)}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x))/(c + a^2*c*x^2), x)","F"
252,0,-1,23,0.000000,"\text{Not used}","int((x^m*atan(a*x))/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x))/(c + a^2*c*x^2)^2, x)","F"
253,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2)^(5/2),x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^m*atan(a*x)*(c + a^2*c*x^2)^(5/2), x)","F"
254,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)*(c + a^2*c*x^2)^(3/2), x)","F"
255,0,-1,113,0.000000,"\text{Not used}","int(x^m*atan(a*x)*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)*(c + a^2*c*x^2)^(1/2), x)","F"
256,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,\mathrm{atan}\left(a\,x\right)}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x))/(c + a^2*c*x^2)^(1/2), x)","F"
257,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,\mathrm{atan}\left(a\,x\right)}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x))/(c + a^2*c*x^2)^(3/2), x)","F"
258,1,102,124,0.572627,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2),x)","-\frac{c\,\left(14\,\ln\left(a^2\,x^2+1\right)+a^2\,x^2-3\,a^4\,x^4+15\,{\mathrm{atan}\left(a\,x\right)}^2+10\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)+12\,a^5\,x^5\,\mathrm{atan}\left(a\,x\right)-30\,a\,x\,\mathrm{atan}\left(a\,x\right)-45\,a^4\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2-30\,a^6\,x^6\,{\mathrm{atan}\left(a\,x\right)}^2\right)}{180\,a^4}","Not used",1,"-(c*(14*log(a^2*x^2 + 1) + a^2*x^2 - 3*a^4*x^4 + 15*atan(a*x)^2 + 10*a^3*x^3*atan(a*x) + 12*a^5*x^5*atan(a*x) - 30*a*x*atan(a*x) - 45*a^4*x^4*atan(a*x)^2 - 30*a^6*x^6*atan(a*x)^2))/(180*a^4)","B"
259,0,-1,156,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2), x)","F"
260,1,83,96,0.510623,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2),x)","\frac{c\,\left(6\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+x^2\right)}{12}+\frac{\frac{c\,\left(3\,{\mathrm{atan}\left(a\,x\right)}^2+2\,\ln\left(a^2\,x^2+1\right)\right)}{12}-\frac{a\,c\,x\,\mathrm{atan}\left(a\,x\right)}{2}}{a^2}+\frac{a^2\,c\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2}{4}-\frac{a\,c\,x^3\,\mathrm{atan}\left(a\,x\right)}{6}","Not used",1,"(c*(6*x^2*atan(a*x)^2 + x^2))/12 + ((c*(2*log(a^2*x^2 + 1) + 3*atan(a*x)^2))/12 - (a*c*x*atan(a*x))/2)/a^2 + (a^2*c*x^4*atan(a*x)^2)/4 - (a*c*x^3*atan(a*x))/6","B"
261,0,-1,128,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2),x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2), x)","F"
262,0,-1,169,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2))/x, x)","F"
263,0,-1,113,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2))/x^2, x)","F"
264,0,-1,196,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2))/x^3, x)","F"
265,0,-1,135,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2))/x^4, x)","F"
266,1,145,191,0.544874,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^2,x)","{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{c^2\,x^4}{4}-\frac{c^2}{24\,a^4}+\frac{a^2\,c^2\,x^6}{3}+\frac{a^4\,c^2\,x^8}{8}\right)+\frac{c^2\,x^4}{84}-a^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{a\,c^2\,x^7}{28}-\frac{c^2\,x}{12\,a^5}+\frac{c^2\,x^5}{12\,a}+\frac{c^2\,x^3}{36\,a^3}\right)-\frac{2\,c^2\,\ln\left(a^2\,x^2+1\right)}{63\,a^4}-\frac{5\,c^2\,x^2}{504\,a^2}+\frac{a^2\,c^2\,x^6}{168}","Not used",1,"atan(a*x)^2*((c^2*x^4)/4 - c^2/(24*a^4) + (a^2*c^2*x^6)/3 + (a^4*c^2*x^8)/8) + (c^2*x^4)/84 - a^2*atan(a*x)*((a*c^2*x^7)/28 - (c^2*x)/(12*a^5) + (c^2*x^5)/(12*a) + (c^2*x^3)/(36*a^3)) - (2*c^2*log(a^2*x^2 + 1))/(63*a^4) - (5*c^2*x^2)/(504*a^2) + (a^2*c^2*x^6)/168","B"
267,0,-1,225,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^2,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^2, x)","F"
268,1,135,153,0.312317,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2)^2,x)","\frac{\frac{c^2\,\left(30\,{\mathrm{atan}\left(a\,x\right)}^2+16\,\ln\left(a^2\,x^2+1\right)\right)}{180}-\frac{a\,c^2\,x\,\mathrm{atan}\left(a\,x\right)}{3}}{a^2}+\frac{c^2\,\left(90\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+14\,x^2\right)}{180}+\frac{a^2\,c^2\,\left(90\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2+3\,x^4\right)}{180}-\frac{a^3\,c^2\,x^5\,\mathrm{atan}\left(a\,x\right)}{15}+\frac{a^4\,c^2\,x^6\,{\mathrm{atan}\left(a\,x\right)}^2}{6}-\frac{2\,a\,c^2\,x^3\,\mathrm{atan}\left(a\,x\right)}{9}","Not used",1,"((c^2*(16*log(a^2*x^2 + 1) + 30*atan(a*x)^2))/180 - (a*c^2*x*atan(a*x))/3)/a^2 + (c^2*(90*x^2*atan(a*x)^2 + 14*x^2))/180 + (a^2*c^2*(90*x^4*atan(a*x)^2 + 3*x^4))/180 - (a^3*c^2*x^5*atan(a*x))/15 + (a^4*c^2*x^6*atan(a*x)^2)/6 - (2*a*c^2*x^3*atan(a*x))/9","B"
269,0,-1,205,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2)^2,x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2)^2, x)","F"
270,0,-1,235,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x, x)","F"
271,0,-1,205,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^2, x)","F"
272,0,-1,207,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^3, x)","F"
273,0,-1,216,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^2)/x^4, x)","F"
274,1,178,240,0.512952,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^3,x)","{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{c^3\,x^4}{4}-\frac{c^3}{40\,a^4}+\frac{a^2\,c^3\,x^6}{2}+\frac{3\,a^4\,c^3\,x^8}{8}+\frac{a^6\,c^3\,x^{10}}{10}\right)+\frac{53\,c^3\,x^4}{6300}-\frac{26\,c^3\,\ln\left(a^2\,x^2+1\right)}{1575\,a^4}-\frac{107\,c^3\,x^2}{12600\,a^2}+\frac{71\,a^2\,c^3\,x^6}{7560}+\frac{a^4\,c^3\,x^8}{360}-a^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{11\,a\,c^3\,x^7}{140}-\frac{c^3\,x}{20\,a^5}+\frac{9\,c^3\,x^5}{100\,a}+\frac{c^3\,x^3}{60\,a^3}+\frac{a^3\,c^3\,x^9}{45}\right)","Not used",1,"atan(a*x)^2*((c^3*x^4)/4 - c^3/(40*a^4) + (a^2*c^3*x^6)/2 + (3*a^4*c^3*x^8)/8 + (a^6*c^3*x^10)/10) + (53*c^3*x^4)/6300 - (26*c^3*log(a^2*x^2 + 1))/(1575*a^4) - (107*c^3*x^2)/(12600*a^2) + (71*a^2*c^3*x^6)/7560 + (a^4*c^3*x^8)/360 - a^2*atan(a*x)*((11*a*c^3*x^7)/140 - (c^3*x)/(20*a^5) + (9*c^3*x^5)/(100*a) + (c^3*x^3)/(60*a^3) + (a^3*c^3*x^9)/45)","B"
275,0,-1,274,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^3,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^3, x)","F"
276,1,156,200,0.455206,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2)^3,x)","{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{c^3}{8\,a^2}+\frac{c^3\,x^2}{2}+\frac{3\,a^2\,c^3\,x^4}{4}+\frac{a^4\,c^3\,x^6}{2}+\frac{a^6\,c^3\,x^8}{8}\right)+\frac{19\,c^3\,x^2}{280}-a^2\,\mathrm{atan}\left(a\,x\right)\,\left(\frac{c^3\,x}{4\,a^3}+\frac{3\,a\,c^3\,x^5}{20}+\frac{c^3\,x^3}{4\,a}+\frac{a^3\,c^3\,x^7}{28}\right)+\frac{2\,c^3\,\ln\left(a^2\,x^2+1\right)}{35\,a^2}+\frac{a^2\,c^3\,x^4}{35}+\frac{a^4\,c^3\,x^6}{168}","Not used",1,"atan(a*x)^2*(c^3/(8*a^2) + (c^3*x^2)/2 + (3*a^2*c^3*x^4)/4 + (a^4*c^3*x^6)/2 + (a^6*c^3*x^8)/8) + (19*c^3*x^2)/280 - a^2*atan(a*x)*((c^3*x)/(4*a^3) + (3*a*c^3*x^5)/20 + (c^3*x^3)/(4*a) + (a^3*c^3*x^7)/28) + (2*c^3*log(a^2*x^2 + 1))/(35*a^2) + (a^2*c^3*x^4)/35 + (a^4*c^3*x^6)/168","B"
277,0,-1,268,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2)^3,x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2)^3, x)","F"
278,0,-1,287,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x, x)","F"
279,0,-1,251,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^2, x)","F"
280,0,-1,299,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^3, x)","F"
281,0,-1,250,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^3)/x^4, x)","F"
282,0,-1,166,0.000000,"\text{Not used}","int((x^4*atan(a*x)^2)/(c + a^2*c*x^2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^2}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^4*atan(a*x)^2)/(c + a^2*c*x^2), x)","F"
283,0,-1,169,0.000000,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^2}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^3*atan(a*x)^2)/(c + a^2*c*x^2), x)","F"
284,0,-1,98,0.000000,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^2}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^2*atan(a*x)^2)/(c + a^2*c*x^2), x)","F"
285,0,-1,102,0.000000,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x*atan(a*x)^2)/(c + a^2*c*x^2), x)","F"
286,1,14,16,0.164545,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2),x)","\frac{{\mathrm{atan}\left(a\,x\right)}^3}{3\,a\,c}","Not used",1,"atan(a*x)^3/(3*a*c)","B"
287,0,-1,91,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)), x)","F"
288,0,-1,92,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)), x)","F"
289,0,-1,178,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)), x)","F"
290,0,-1,166,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^4\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)), x)","F"
291,0,-1,192,0.000000,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^2, x)","F"
292,1,96,106,0.418108,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^2,x)","\frac{x}{2\,\left(2\,a^4\,c^2\,x^2+2\,a^2\,c^2\right)}+\frac{\mathrm{atan}\left(a\,x\right)}{4\,a^3\,c^2}+\frac{{\mathrm{atan}\left(a\,x\right)}^3}{6\,a^3\,c^2}-\frac{\mathrm{atan}\left(a\,x\right)}{2\,a^5\,c^2\,\left(\frac{1}{a^2}+x^2\right)}-\frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{2\,a^4\,c^2\,\left(\frac{1}{a^2}+x^2\right)}","Not used",1,"x/(2*(2*a^2*c^2 + 2*a^4*c^2*x^2)) + atan(a*x)/(4*a^3*c^2) + atan(a*x)^3/(6*a^3*c^2) - atan(a*x)/(2*a^5*c^2*(1/a^2 + x^2)) - (x*atan(a*x)^2)/(2*a^4*c^2*(1/a^2 + x^2))","B"
293,1,50,91,0.420482,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2)^2,x)","\frac{a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+2\,a\,x\,\mathrm{atan}\left(a\,x\right)-{\mathrm{atan}\left(a\,x\right)}^2+1}{4\,a^2\,c^2\,\left(a^2\,x^2+1\right)}","Not used",1,"(2*a*x*atan(a*x) - atan(a*x)^2 + a^2*x^2*atan(a*x)^2 + 1)/(4*a^2*c^2*(a^2*x^2 + 1))","B"
294,1,101,100,0.516690,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2)^2,x)","\frac{\mathrm{atan}\left(a\,x\right)}{2\,\left(a^3\,c^2\,x^2+a\,c^2\right)}-\frac{x}{2\,\left(2\,a^2\,c^2\,x^2+2\,c^2\right)}+\frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{2\,\left(a^2\,c^2\,x^2+c^2\right)}-\frac{\mathrm{atan}\left(a\,x\right)}{4\,a\,c^2}+\frac{{\mathrm{atan}\left(a\,x\right)}^3}{6\,a\,c^2}","Not used",1,"atan(a*x)/(2*(a*c^2 + a^3*c^2*x^2)) - x/(2*(2*c^2 + 2*a^2*c^2*x^2)) + (x*atan(a*x)^2)/(2*(c^2 + a^2*c^2*x^2)) - atan(a*x)/(4*a*c^2) + atan(a*x)^3/(6*a*c^2)","B"
295,0,-1,170,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)^2), x)","F"
296,0,-1,177,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^2), x)","F"
297,0,-1,250,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^2), x)","F"
298,0,-1,242,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^4\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^2), x)","F"
299,1,85,140,0.573342,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^3,x)","\frac{5\,a^4\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2+10\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)-6\,a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+5\,a^2\,x^2+6\,a\,x\,\mathrm{atan}\left(a\,x\right)-3\,{\mathrm{atan}\left(a\,x\right)}^2+4}{32\,a^4\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(5*a^2*x^2 - 3*atan(a*x)^2 + 10*a^3*x^3*atan(a*x) + 6*a*x*atan(a*x) - 6*a^2*x^2*atan(a*x)^2 + 5*a^4*x^4*atan(a*x)^2 + 4)/(32*a^4*c^3*(a^2*x^2 + 1)^2)","B"
300,1,150,181,0.492870,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^3,x)","\frac{\frac{x}{8\,a^2}-\frac{x^3}{8}}{8\,a^4\,c^3\,x^4+16\,a^2\,c^3\,x^2+8\,c^3}-\frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{x}{8\,a^4\,c^3}-\frac{x^3}{8\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{\mathrm{atan}\left(a\,x\right)}{64\,a^3\,c^3}+\frac{{\mathrm{atan}\left(a\,x\right)}^3}{24\,a^3\,c^3}+\frac{x^2\,\mathrm{atan}\left(a\,x\right)}{8\,a^3\,c^3\,\left(\frac{1}{a^2}+2\,x^2+a^2\,x^4\right)}","Not used",1,"(x/(8*a^2) - x^3/8)/(8*c^3 + 16*a^2*c^3*x^2 + 8*a^4*c^3*x^4) - (atan(a*x)^2*(x/(8*a^4*c^3) - x^3/(8*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) - atan(a*x)/(64*a^3*c^3) + atan(a*x)^3/(24*a^3*c^3) + (x^2*atan(a*x))/(8*a^3*c^3*(1/a^2 + 2*x^2 + a^2*x^4))","B"
301,1,85,138,0.510062,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2)^3,x)","\frac{3\,a^4\,x^4\,{\mathrm{atan}\left(a\,x\right)}^2+6\,a^3\,x^3\,\mathrm{atan}\left(a\,x\right)+6\,a^2\,x^2\,{\mathrm{atan}\left(a\,x\right)}^2+3\,a^2\,x^2+10\,a\,x\,\mathrm{atan}\left(a\,x\right)-5\,{\mathrm{atan}\left(a\,x\right)}^2+4}{32\,a^2\,c^3\,{\left(a^2\,x^2+1\right)}^2}","Not used",1,"(3*a^2*x^2 - 5*atan(a*x)^2 + 6*a^3*x^3*atan(a*x) + 10*a*x*atan(a*x) + 6*a^2*x^2*atan(a*x)^2 + 3*a^4*x^4*atan(a*x)^2 + 4)/(32*a^2*c^3*(a^2*x^2 + 1)^2)","B"
302,1,157,169,0.527017,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2)^3,x)","\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{1}{2\,a^3\,c^3}+\frac{3\,x^2}{8\,a\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{15\,\mathrm{atan}\left(a\,x\right)}{64\,a\,c^3}-\frac{\frac{15\,a^2\,x^3}{8}+\frac{17\,x}{8}}{8\,a^4\,c^3\,x^4+16\,a^2\,c^3\,x^2+8\,c^3}+\frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{3\,x^3}{8\,c^3}+\frac{5\,x}{8\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}+\frac{{\mathrm{atan}\left(a\,x\right)}^3}{8\,a\,c^3}","Not used",1,"(atan(a*x)*(1/(2*a^3*c^3) + (3*x^2)/(8*a*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) - (15*atan(a*x))/(64*a*c^3) - ((17*x)/8 + (15*a^2*x^3)/8)/(8*c^3 + 16*a^2*c^3*x^2 + 8*a^4*c^3*x^4) + (atan(a*x)^2*((3*x^3)/(8*c^3) + (5*x)/(8*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) + atan(a*x)^3/(8*a*c^3)","B"
303,0,-1,236,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)^3), x)","F"
304,0,-1,250,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^3), x)","F"
305,0,-1,322,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^3), x)","F"
306,0,-1,317,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^4\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^3), x)","F"
307,0,-1,385,0.000000,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(1/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(1/2), x)","F"
308,0,-1,436,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(1/2), x)","F"
309,0,-1,279,0.000000,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2)^(1/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x*atan(a*x)^2*(c + a^2*c*x^2)^(1/2), x)","F"
310,0,-1,340,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2)^(1/2), x)","F"
311,0,-1,439,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x, x)","F"
312,0,-1,458,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^2, x)","F"
313,0,-1,328,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^3, x)","F"
314,0,-1,275,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(1/2))/x^4, x)","F"
315,0,-1,476,0.000000,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(3/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(3/2), x)","F"
316,0,-1,531,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(3/2), x)","F"
317,0,-1,334,0.000000,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2)^(3/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x*atan(a*x)^2*(c + a^2*c*x^2)^(3/2), x)","F"
318,0,-1,438,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2)^(3/2), x)","F"
319,0,-1,530,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x, x)","F"
320,0,-1,556,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^2, x)","F"
321,0,-1,567,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^3, x)","F"
322,0,-1,579,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(3/2))/x^4, x)","F"
323,0,-1,578,0.000000,"\text{Not used}","int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(5/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(5/2), x)","F"
324,0,-1,638,0.000000,"\text{Not used}","int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(5/2), x)","F"
325,0,-1,387,0.000000,"\text{Not used}","int(x*atan(a*x)^2*(c + a^2*c*x^2)^(5/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x*atan(a*x)^2*(c + a^2*c*x^2)^(5/2), x)","F"
326,0,-1,516,0.000000,"\text{Not used}","int(atan(a*x)^2*(c + a^2*c*x^2)^(5/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(atan(a*x)^2*(c + a^2*c*x^2)^(5/2), x)","F"
327,0,-1,605,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x, x)","F"
328,0,-1,655,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^2, x)","F"
329,0,-1,661,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^3, x)","F"
330,0,-1,675,0.000000,"\text{Not used}","int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)^2*(c + a^2*c*x^2)^(5/2))/x^4, x)","F"
331,0,-1,315,0.000000,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^2}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2), x)","F"
332,0,-1,344,0.000000,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^2}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2), x)","F"
333,0,-1,220,0.000000,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2), x)","F"
334,0,-1,256,0.000000,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^2/(c + a^2*c*x^2)^(1/2), x)","F"
335,0,-1,227,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
336,0,-1,208,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
337,0,-1,328,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
338,0,-1,311,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
339,0,-1,305,0.000000,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2), x)","F"
340,0,-1,349,0.000000,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2), x)","F"
341,0,-1,78,0.000000,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2), x)","F"
342,0,-1,72,0.000000,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2)^(3/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^2/(c + a^2*c*x^2)^(3/2), x)","F"
343,0,-1,310,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
344,0,-1,293,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(3/2)), x)","F"
345,0,-1,422,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x^3*(c + a^2*c*x^2)^(3/2)), x)","F"
346,0,-1,397,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^4\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x^4*(c + a^2*c*x^2)^(3/2)), x)","F"
347,0,-1,400,0.000000,"\text{Not used}","int((x^5*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^5\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^5*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2), x)","F"
348,0,-1,444,0.000000,"\text{Not used}","int((x^4*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^4*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2), x)","F"
349,0,-1,172,0.000000,"\text{Not used}","int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2), x)","F"
350,0,-1,139,0.000000,"\text{Not used}","int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2), x)","F"
351,0,-1,137,0.000000,"\text{Not used}","int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x)^2)/(c + a^2*c*x^2)^(5/2), x)","F"
352,0,-1,157,0.000000,"\text{Not used}","int(atan(a*x)^2/(c + a^2*c*x^2)^(5/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^2/(c + a^2*c*x^2)^(5/2), x)","F"
353,0,-1,389,0.000000,"\text{Not used}","int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
354,0,-1,381,0.000000,"\text{Not used}","int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^2}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^2/(x^2*(c + a^2*c*x^2)^(5/2)), x)","F"
355,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^2,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^2, x)","F"
356,0,-1,23,0.000000,"\text{Not used}","int(x^m*atan(a*x)^2*(c + a^2*c*x^2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^m*atan(a*x)^2*(c + a^2*c*x^2), x)","F"
357,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x)^2)/(c + a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^2}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x)^2)/(c + a^2*c*x^2), x)","F"
358,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^2, x)","F"
359,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^(3/2), x)","F"
360,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)^2*(c + a^2*c*x^2)^(1/2), x)","F"
361,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^2}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^(1/2), x)","F"
362,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^2}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^2)/(c + a^2*c*x^2)^(3/2), x)","F"
363,0,-1,219,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2), x)","F"
364,0,-1,211,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2), x)","F"
365,0,-1,160,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2), x)","F"
366,0,-1,172,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2),x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2), x)","F"
367,0,-1,276,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2))/x, x)","F"
368,0,-1,169,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2))/x^2, x)","F"
369,0,-1,310,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2))/x^3, x)","F"
370,0,-1,189,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2))/x^4, x)","F"
371,0,-1,313,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^2,x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^2, x)","F"
372,0,-1,321,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^2,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^2, x)","F"
373,0,-1,242,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2)^2,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2)^2, x)","F"
374,0,-1,289,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2)^2,x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2)^2, x)","F"
375,0,-1,370,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x, x)","F"
376,0,-1,284,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^2, x)","F"
377,0,-1,399,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^3, x)","F"
378,0,-1,311,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^2)/x^4, x)","F"
379,0,-1,381,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^3,x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^3, x)","F"
380,0,-1,389,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^3,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^3, x)","F"
381,0,-1,308,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2)^3,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2)^3, x)","F"
382,0,-1,388,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2)^3,x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2)^3, x)","F"
383,0,-1,447,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x, x)","F"
384,0,-1,354,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^2, x)","F"
385,0,-1,503,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^3, x)","F"
386,0,-1,336,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^3)/x^4, x)","F"
387,0,-1,217,0.000000,"\text{Not used}","int((x^4*atan(a*x)^3)/(c + a^2*c*x^2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^3}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^4*atan(a*x)^3)/(c + a^2*c*x^2), x)","F"
388,0,-1,260,0.000000,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^3}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^3*atan(a*x)^3)/(c + a^2*c*x^2), x)","F"
389,0,-1,130,0.000000,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^3}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x^2*atan(a*x)^3)/(c + a^2*c*x^2), x)","F"
390,0,-1,138,0.000000,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{c\,a^2\,x^2+c} \,d x","Not used",1,"int((x*atan(a*x)^3)/(c + a^2*c*x^2), x)","F"
391,1,14,16,0.126634,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2),x)","\frac{{\mathrm{atan}\left(a\,x\right)}^4}{4\,a\,c}","Not used",1,"atan(a*x)^4/(4*a*c)","B"
392,0,-1,124,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)), x)","F"
393,0,-1,122,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)), x)","F"
394,0,-1,262,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)), x)","F"
395,0,-1,227,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^4\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",1,"int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)), x)","F"
396,0,-1,270,0.000000,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^2, x)","F"
397,1,119,135,0.445922,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^2,x)","\frac{3}{2\,a^2\,\left(4\,a^3\,c^2\,x^2+4\,a\,c^2\right)}+{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{3}{8\,a^3\,c^2}-\frac{3}{4\,a^5\,c^2\,\left(\frac{1}{a^2}+x^2\right)}\right)+\frac{{\mathrm{atan}\left(a\,x\right)}^4}{8\,a^3\,c^2}+\frac{3\,x\,\mathrm{atan}\left(a\,x\right)}{4\,a^4\,c^2\,\left(\frac{1}{a^2}+x^2\right)}-\frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{2\,a^4\,c^2\,\left(\frac{1}{a^2}+x^2\right)}","Not used",1,"3/(2*a^2*(4*a*c^2 + 4*a^3*c^2*x^2)) + atan(a*x)^2*(3/(8*a^3*c^2) - 3/(4*a^5*c^2*(1/a^2 + x^2))) + atan(a*x)^4/(8*a^3*c^2) + (3*x*atan(a*x))/(4*a^4*c^2*(1/a^2 + x^2)) - (x*atan(a*x)^3)/(2*a^4*c^2*(1/a^2 + x^2))","B"
398,1,114,133,0.427920,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2)^2,x)","{\mathrm{atan}\left(a\,x\right)}^3\,\left(\frac{1}{4\,a^2\,c^2}-\frac{1}{2\,a^4\,c^2\,\left(\frac{1}{a^2}+x^2\right)}\right)-\frac{3\,x}{2\,\left(4\,a^3\,c^2\,x^2+4\,a\,c^2\right)}-\frac{3\,\mathrm{atan}\left(a\,x\right)}{8\,a^2\,c^2}+\frac{3\,\mathrm{atan}\left(a\,x\right)}{4\,a^4\,c^2\,\left(\frac{1}{a^2}+x^2\right)}+\frac{3\,x\,{\mathrm{atan}\left(a\,x\right)}^2}{4\,a^3\,c^2\,\left(\frac{1}{a^2}+x^2\right)}","Not used",1,"atan(a*x)^3*(1/(4*a^2*c^2) - 1/(2*a^4*c^2*(1/a^2 + x^2))) - (3*x)/(2*(4*a*c^2 + 4*a^3*c^2*x^2)) - (3*atan(a*x))/(8*a^2*c^2) + (3*atan(a*x))/(4*a^4*c^2*(1/a^2 + x^2)) + (3*x*atan(a*x)^2)/(4*a^3*c^2*(1/a^2 + x^2))","B"
399,1,119,129,0.429631,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2)^2,x)","\frac{{\mathrm{atan}\left(a\,x\right)}^4}{8\,a\,c^2}-{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{3}{8\,a\,c^2}-\frac{3}{4\,a^3\,c^2\,\left(\frac{1}{a^2}+x^2\right)}\right)-\frac{3}{2\,a\,\left(4\,a^2\,c^2\,x^2+4\,c^2\right)}-\frac{3\,x\,\mathrm{atan}\left(a\,x\right)}{4\,a^2\,c^2\,\left(\frac{1}{a^2}+x^2\right)}+\frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{2\,a^2\,c^2\,\left(\frac{1}{a^2}+x^2\right)}","Not used",1,"atan(a*x)^4/(8*a*c^2) - atan(a*x)^2*(3/(8*a*c^2) - 3/(4*a^3*c^2*(1/a^2 + x^2))) - 3/(2*a*(4*c^2 + 4*a^2*c^2*x^2)) - (3*x*atan(a*x))/(4*a^2*c^2*(1/a^2 + x^2)) + (x*atan(a*x)^3)/(2*a^2*c^2*(1/a^2 + x^2))","B"
400,0,-1,240,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)^2), x)","F"
401,0,-1,234,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^2), x)","F"
402,0,-1,374,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^2), x)","F"
403,0,-1,332,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^4\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^2), x)","F"
404,1,205,212,0.587302,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^3,x)","\frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{9\,x}{32\,a^5\,c^3}+\frac{15\,x^3}{32\,a^3\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-{\mathrm{atan}\left(a\,x\right)}^3\,\left(\frac{\frac{1}{4\,a^6\,c^3}+\frac{x^2}{2\,a^4\,c^3}}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{5}{32\,a^4\,c^3}\right)-\frac{\frac{51\,a^2\,x^3}{8}+\frac{45\,x}{8}}{32\,a^7\,c^3\,x^4+64\,a^5\,c^3\,x^2+32\,a^3\,c^3}-\frac{51\,\mathrm{atan}\left(a\,x\right)}{256\,a^4\,c^3}+\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{3}{8\,a^6\,c^3}+\frac{15\,x^2}{32\,a^4\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}","Not used",1,"(atan(a*x)^2*((9*x)/(32*a^5*c^3) + (15*x^3)/(32*a^3*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) - atan(a*x)^3*((1/(4*a^6*c^3) + x^2/(2*a^4*c^3))/(1/a^2 + 2*x^2 + a^2*x^4) - 5/(32*a^4*c^3)) - ((45*x)/8 + (51*a^2*x^3)/8)/(32*a^3*c^3 + 64*a^5*c^3*x^2 + 32*a^7*c^3*x^4) - (51*atan(a*x))/(256*a^4*c^3) + (atan(a*x)*(3/(8*a^6*c^3) + (15*x^2)/(32*a^4*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4)","B"
405,1,188,237,0.536565,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^3,x)","\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{3\,x}{64\,a^4\,c^3}-\frac{3\,x^3}{64\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{3\,x^2}{2\,\left(64\,a^5\,c^3\,x^4+128\,a^3\,c^3\,x^2+64\,a\,c^3\right)}-{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{3}{128\,a^3\,c^3}-\frac{3\,x^2}{16\,a^3\,c^3\,\left(\frac{1}{a^2}+2\,x^2+a^2\,x^4\right)}\right)-\frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(\frac{x}{8\,a^4\,c^3}-\frac{x^3}{8\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}+\frac{{\mathrm{atan}\left(a\,x\right)}^4}{32\,a^3\,c^3}","Not used",1,"(atan(a*x)*((3*x)/(64*a^4*c^3) - (3*x^3)/(64*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) - (3*x^2)/(2*(64*a*c^3 + 128*a^3*c^3*x^2 + 64*a^5*c^3*x^4)) - atan(a*x)^2*(3/(128*a^3*c^3) - (3*x^2)/(16*a^3*c^3*(1/a^2 + 2*x^2 + a^2*x^4))) - (atan(a*x)^3*(x/(8*a^4*c^3) - x^3/(8*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) + atan(a*x)^4/(32*a^3*c^3)","B"
406,1,189,208,0.530605,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2)^3,x)","{\mathrm{atan}\left(a\,x\right)}^3\,\left(\frac{3}{32\,a^2\,c^3}-\frac{1}{4\,a^4\,c^3\,\left(\frac{1}{a^2}+2\,x^2+a^2\,x^4\right)}\right)-\frac{\frac{45\,a^2\,x^3}{8}+\frac{51\,x}{8}}{32\,a^5\,c^3\,x^4+64\,a^3\,c^3\,x^2+32\,a\,c^3}+\frac{{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{15\,x}{32\,a^3\,c^3}+\frac{9\,x^3}{32\,a\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{45\,\mathrm{atan}\left(a\,x\right)}{256\,a^2\,c^3}+\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{3}{8\,a^4\,c^3}+\frac{9\,x^2}{32\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}","Not used",1,"atan(a*x)^3*(3/(32*a^2*c^3) - 1/(4*a^4*c^3*(1/a^2 + 2*x^2 + a^2*x^4))) - ((51*x)/8 + (45*a^2*x^3)/8)/(32*a*c^3 + 64*a^3*c^3*x^2 + 32*a^5*c^3*x^4) + (atan(a*x)^2*((15*x)/(32*a^3*c^3) + (9*x^3)/(32*a*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) - (45*atan(a*x))/(256*a^2*c^3) + (atan(a*x)*(3/(8*a^4*c^3) + (9*x^2)/(32*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4)","B"
407,1,199,225,0.535914,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2)^3,x)","{\mathrm{atan}\left(a\,x\right)}^2\,\left(\frac{\frac{3}{4\,a^3\,c^3}+\frac{9\,x^2}{16\,a\,c^3}}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}-\frac{45}{128\,a\,c^3}\right)-\frac{\frac{45\,a\,x^2}{2}+\frac{24}{a}}{64\,a^4\,c^3\,x^4+128\,a^2\,c^3\,x^2+64\,c^3}-\frac{\mathrm{atan}\left(a\,x\right)\,\left(\frac{45\,x^3}{64\,c^3}+\frac{51\,x}{64\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}+\frac{{\mathrm{atan}\left(a\,x\right)}^3\,\left(\frac{3\,x^3}{8\,c^3}+\frac{5\,x}{8\,a^2\,c^3}\right)}{\frac{1}{a^2}+2\,x^2+a^2\,x^4}+\frac{3\,{\mathrm{atan}\left(a\,x\right)}^4}{32\,a\,c^3}","Not used",1,"atan(a*x)^2*((3/(4*a^3*c^3) + (9*x^2)/(16*a*c^3))/(1/a^2 + 2*x^2 + a^2*x^4) - 45/(128*a*c^3)) - ((45*a*x^2)/2 + 24/a)/(64*c^3 + 128*a^2*c^3*x^2 + 64*a^4*c^3*x^4) - (atan(a*x)*((45*x^3)/(64*c^3) + (51*x)/(64*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) + (atan(a*x)^3*((3*x^3)/(8*c^3) + (5*x)/(8*a^2*c^3)))/(1/a^2 + 2*x^2 + a^2*x^4) + (3*atan(a*x)^4)/(32*a*c^3)","B"
408,0,-1,332,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)^3), x)","F"
409,0,-1,332,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^3), x)","F"
410,0,-1,478,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^3), x)","F"
411,0,-1,432,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^4\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^3), x)","F"
412,0,-1,523,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(1/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(1/2), x)","F"
413,0,-1,747,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(1/2), x)","F"
414,0,-1,373,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2)^(1/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2)^(1/2), x)","F"
415,0,-1,626,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2)^(1/2), x)","F"
416,0,-1,600,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x, x)","F"
417,0,-1,622,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^2, x)","F"
418,0,-1,602,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^3, x)","F"
419,0,-1,361,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(1/2))/x^4, x)","F"
420,0,-1,652,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(3/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(3/2), x)","F"
421,0,-1,882,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(3/2), x)","F"
422,0,-1,477,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2)^(3/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2)^(3/2), x)","F"
423,0,-1,760,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2)^(3/2), x)","F"
424,0,-1,726,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x, x)","F"
425,0,-1,901,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^2, x)","F"
426,0,-1,919,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^3, x)","F"
427,0,-1,788,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(3/2))/x^4, x)","F"
428,0,-1,798,0.000000,"\text{Not used}","int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(5/2),x)","\int x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(5/2), x)","F"
429,0,-1,1019,0.000000,"\text{Not used}","int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(5/2), x)","F"
430,0,-1,561,0.000000,"\text{Not used}","int(x*atan(a*x)^3*(c + a^2*c*x^2)^(5/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(x*atan(a*x)^3*(c + a^2*c*x^2)^(5/2), x)","F"
431,0,-1,870,0.000000,"\text{Not used}","int(atan(a*x)^3*(c + a^2*c*x^2)^(5/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",1,"int(atan(a*x)^3*(c + a^2*c*x^2)^(5/2), x)","F"
432,0,-1,845,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x, x)","F"
433,0,-1,1027,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^2} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^2, x)","F"
434,0,-1,1043,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^3} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^3, x)","F"
435,0,-1,1061,0.000000,"\text{Not used}","int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^4,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x^4} \,d x","Not used",1,"int((atan(a*x)^3*(c + a^2*c*x^2)^(5/2))/x^4, x)","F"
436,0,-1,408,0.000000,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^3}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2), x)","F"
437,0,-1,625,0.000000,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^3}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2), x)","F"
438,0,-1,283,0.000000,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2), x)","F"
439,0,-1,368,0.000000,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^3/(c + a^2*c*x^2)^(1/2), x)","F"
440,0,-1,327,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
441,0,-1,260,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
442,0,-1,597,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^3/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
443,0,-1,396,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",1,"int(atan(a*x)^3/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
444,0,-1,403,0.000000,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2), x)","F"
445,0,-1,495,0.000000,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2), x)","F"
446,0,-1,107,0.000000,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2), x)","F"
447,0,-1,100,0.000000,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2)^(3/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^3/(c + a^2*c*x^2)^(3/2), x)","F"
448,0,-1,443,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
449,0,-1,377,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(3/2)), x)","F"
450,0,-1,534,0.000000,"\text{Not used}","int((x^5*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^5\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^5*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2), x)","F"
451,0,-1,622,0.000000,"\text{Not used}","int((x^4*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^4*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2), x)","F"
452,0,-1,237,0.000000,"\text{Not used}","int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2), x)","F"
453,0,-1,199,0.000000,"\text{Not used}","int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2), x)","F"
454,0,-1,199,0.000000,"\text{Not used}","int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x)^3)/(c + a^2*c*x^2)^(5/2), x)","F"
455,0,-1,215,0.000000,"\text{Not used}","int(atan(a*x)^3/(c + a^2*c*x^2)^(5/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^3/(c + a^2*c*x^2)^(5/2), x)","F"
456,0,-1,553,0.000000,"\text{Not used}","int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^3/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
457,0,-1,493,0.000000,"\text{Not used}","int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^3}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^3/(x^2*(c + a^2*c*x^2)^(5/2)), x)","F"
458,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^2,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^2, x)","F"
459,0,-1,23,0.000000,"\text{Not used}","int(x^m*atan(a*x)^3*(c + a^2*c*x^2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^m*atan(a*x)^3*(c + a^2*c*x^2), x)","F"
460,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x)^3)/(c + a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^3}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x)^3)/(c + a^2*c*x^2), x)","F"
461,0,-1,25,0.000000,"\text{Not used}","int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^2, x)","F"
462,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^(3/2), x)","F"
463,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)^3*(c + a^2*c*x^2)^(1/2), x)","F"
464,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^3}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^(1/2), x)","F"
465,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^3}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^3)/(c + a^2*c*x^2)^(3/2), x)","F"
466,0,-1,21,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x),x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x), x)","F"
467,0,-1,20,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x),x)","\int \frac{c\,a^2\,x^2+c}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x), x)","F"
468,0,-1,23,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)),x)","\int \frac{c\,a^2\,x^2+c}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)), x)","F"
469,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x), x)","F"
470,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x), x)","F"
471,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)), x)","F"
472,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x), x)","F"
473,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x), x)","F"
474,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)), x)","F"
475,0,-1,25,0.000000,"\text{Not used}","int(x^2/(atan(a*x)*(c + a^2*c*x^2)),x)","\int \frac{x^2}{\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^2/(atan(a*x)*(c + a^2*c*x^2)), x)","F"
476,0,-1,23,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)*(c + a^2*c*x^2)), x)","F"
477,1,12,12,0.090998,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)),x)","\frac{\ln\left(\mathrm{atan}\left(a\,x\right)\right)}{a\,c}","Not used",1,"log(atan(a*x))/(a*c)","B"
478,0,-1,25,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)), x)","F"
479,0,-1,25,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)),x)","\int \frac{1}{x^2\,\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)), x)","F"
480,0,-1,25,0.000000,"\text{Not used}","int(x^4/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{x^4}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^4/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
481,0,-1,25,0.000000,"\text{Not used}","int(x^3/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
482,0,-1,33,0.000000,"\text{Not used}","int(x^2/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
483,0,-1,17,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
484,0,-1,33,0.000000,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
485,0,-1,25,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
486,0,-1,25,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
487,0,-1,25,0.000000,"\text{Not used}","int(x^6/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^6}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^6/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
488,0,-1,25,0.000000,"\text{Not used}","int(x^5/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^5}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^5/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
489,0,-1,50,0.000000,"\text{Not used}","int(x^4/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^4}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^4/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
490,0,-1,35,0.000000,"\text{Not used}","int(x^3/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
491,0,-1,33,0.000000,"\text{Not used}","int(x^2/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
492,0,-1,35,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
493,0,-1,50,0.000000,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
494,0,-1,25,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
495,0,-1,25,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
496,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x),x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x), x)","F"
497,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x), x)","F"
498,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)), x)","F"
499,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x), x)","F"
500,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x), x)","F"
501,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)), x)","F"
502,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x), x)","F"
503,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x), x)","F"
504,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)), x)","F"
505,0,-1,25,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)*(c + a^2*c*x^2)^(1/2)), x)","F"
506,0,-1,24,0.000000,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)*(c + a^2*c*x^2)^(1/2)), x)","F"
507,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(1/2)), x)","F"
508,0,-1,27,0.000000,"\text{Not used}","int(x^3/(atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^3}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^3/(atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
509,0,-1,27,0.000000,"\text{Not used}","int(x^2/(atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
510,0,-1,39,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
511,0,-1,39,0.000000,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
512,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
513,0,-1,27,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
514,0,-1,27,0.000000,"\text{Not used}","int(x^5/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^5}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^5/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
515,0,-1,27,0.000000,"\text{Not used}","int(x^4/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^4}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^4/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
516,0,-1,87,0.000000,"\text{Not used}","int(x^3/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
517,0,-1,87,0.000000,"\text{Not used}","int(x^2/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
518,0,-1,87,0.000000,"\text{Not used}","int(x/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
519,0,-1,87,0.000000,"\text{Not used}","int(1/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
520,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
521,0,-1,27,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^2\,\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
522,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x), x)","F"
523,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x), x)","F"
524,0,-1,23,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x),x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x), x)","F"
525,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)), x)","F"
526,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)^2), x)","F"
527,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)^3), x)","F"
528,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x), x)","F"
529,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x), x)","F"
530,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x),x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x), x)","F"
531,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(1/2)), x)","F"
532,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(3/2)), x)","F"
533,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{\mathrm{atan}\left(a\,x\right)\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)*(c + a^2*c*x^2)^(5/2)), x)","F"
534,0,-1,21,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x)^2,x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x)^2, x)","F"
535,0,-1,20,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x)^2,x)","\int \frac{c\,a^2\,x^2+c}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x)^2, x)","F"
536,0,-1,23,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)^2),x)","\int \frac{c\,a^2\,x^2+c}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)^2), x)","F"
537,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x)^2,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x)^2, x)","F"
538,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x)^2,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x)^2, x)","F"
539,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)^2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)^2), x)","F"
540,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x)^2,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x)^2, x)","F"
541,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x)^2,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x)^2, x)","F"
542,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)^2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)^2), x)","F"
543,0,-1,39,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
544,0,-1,37,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
545,0,-1,32,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
546,1,14,14,0.342734,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)),x)","-\frac{1}{a\,c\,\mathrm{atan}\left(a\,x\right)}","Not used",1,"-1/(a*c*atan(a*x))","B"
547,0,-1,39,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
548,0,-1,39,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
549,0,-1,39,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
550,0,-1,39,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
551,0,-1,72,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
552,0,-1,43,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
553,0,-1,41,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
554,0,-1,41,0.000000,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
555,0,-1,74,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
556,0,-1,73,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
557,0,-1,111,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
558,0,-1,112,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
559,0,-1,86,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
560,0,-1,67,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
561,0,-1,61,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
562,0,-1,58,0.000000,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
563,0,-1,113,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
564,0,-1,111,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
565,0,-1,159,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
566,0,-1,155,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
567,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^2,x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^2, x)","F"
568,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x)^2,x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x)^2, x)","F"
569,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^2),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^2), x)","F"
570,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^2,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^2, x)","F"
571,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x)^2,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x)^2, x)","F"
572,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^2), x)","F"
573,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^2,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^2, x)","F"
574,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x)^2,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x)^2, x)","F"
575,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^2), x)","F"
576,0,-1,25,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)), x)","F"
577,0,-1,24,0.000000,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)), x)","F"
578,0,-1,64,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(1/2)), x)","F"
579,0,-1,101,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
580,0,-1,98,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
581,0,-1,69,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
582,0,-1,69,0.000000,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
583,0,-1,130,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
584,0,-1,94,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
585,0,-1,160,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
586,0,-1,135,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
587,0,-1,177,0.000000,"\text{Not used}","int(x^5/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^5}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^5/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
588,0,-1,174,0.000000,"\text{Not used}","int(x^4/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^4}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^4/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
589,0,-1,118,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
590,0,-1,142,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
591,0,-1,116,0.000000,"\text{Not used}","int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
592,0,-1,115,0.000000,"\text{Not used}","int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
593,0,-1,199,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
594,0,-1,164,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
595,0,-1,238,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
596,0,-1,209,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
597,0,-1,33,0.000000,"\text{Not used}","int((f*x)^(1/2)/((a + b*atan(c*x))^2*(d + c^2*d*x^2)^2),x)","\int \frac{\sqrt{f\,x}}{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d\,c^2\,x^2+d\right)}^2} \,d x","Not used",0,"int((f*x)^(1/2)/((a + b*atan(c*x))^2*(d + c^2*d*x^2)^2), x)","F"
598,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^2,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^2, x)","F"
599,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^2,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^2, x)","F"
600,0,-1,23,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x)^2,x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x)^2, x)","F"
601,0,-1,41,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)), x)","F"
602,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^2), x)","F"
603,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^3), x)","F"
604,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^2,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^2, x)","F"
605,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^2,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^2, x)","F"
606,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^2,x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^2, x)","F"
607,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(1/2)), x)","F"
608,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(3/2)), x)","F"
609,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^2*(c + a^2*c*x^2)^(5/2)), x)","F"
610,0,-1,21,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x)^3,x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x)^3, x)","F"
611,0,-1,20,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x)^3,x)","\int \frac{c\,a^2\,x^2+c}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x)^3, x)","F"
612,0,-1,23,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)^3),x)","\int \frac{c\,a^2\,x^2+c}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)^3), x)","F"
613,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x)^3,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x)^3, x)","F"
614,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x)^3,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x)^3, x)","F"
615,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)^3),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)^3), x)","F"
616,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x)^3,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x)^3, x)","F"
617,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x)^3,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x)^3, x)","F"
618,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)^3),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)^3), x)","F"
619,0,-1,43,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
620,0,-1,38,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
621,0,-1,37,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
622,1,14,16,0.351857,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)),x)","-\frac{1}{2\,a\,c\,{\mathrm{atan}\left(a\,x\right)}^2}","Not used",1,"-1/(2*a*c*atan(a*x)^2)","B"
623,0,-1,43,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
624,0,-1,41,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
625,0,-1,43,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
626,0,-1,41,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
627,0,-1,116,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
628,0,-1,71,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
629,0,-1,81,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
630,0,-1,65,0.000000,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
631,0,-1,114,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
632,0,-1,104,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
633,0,-1,161,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
634,0,-1,143,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
635,0,-1,177,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
636,0,-1,120,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
637,0,-1,113,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
638,0,-1,81,0.000000,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
639,0,-1,200,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
640,0,-1,168,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
641,0,-1,248,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
642,0,-1,208,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
643,1,14,16,0.429785,"\text{Not used}","int(x^3/(atan(a*x)^3*(a^2*x^2 + 1)) - (3*x^2)/(2*a*atan(a*x)^2),x)","-\frac{x^3}{2\,a\,{\mathrm{atan}\left(a\,x\right)}^2}","Not used",1,"-x^3/(2*a*atan(a*x)^2)","B"
644,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^3,x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^3, x)","F"
645,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x)^3,x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x)^3, x)","F"
646,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^3),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^3), x)","F"
647,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^3,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^3, x)","F"
648,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x)^3,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x)^3, x)","F"
649,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^3),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^3), x)","F"
650,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^3,x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^3, x)","F"
651,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x)^3,x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x)^3, x)","F"
652,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^3),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^3), x)","F"
653,0,-1,25,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
654,0,-1,24,0.000000,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
655,0,-1,68,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
656,0,-1,27,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
657,0,-1,27,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
658,0,-1,136,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
659,0,-1,135,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
660,0,-1,104,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
661,0,-1,101,0.000000,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
662,0,-1,166,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
663,0,-1,131,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
664,0,-1,201,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
665,0,-1,170,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
666,0,-1,241,0.000000,"\text{Not used}","int(x^5/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^5}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^5/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
667,0,-1,235,0.000000,"\text{Not used}","int(x^4/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^4}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^4/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
668,0,-1,180,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
669,0,-1,209,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
670,0,-1,175,0.000000,"\text{Not used}","int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
671,0,-1,145,0.000000,"\text{Not used}","int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
672,0,-1,263,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
673,0,-1,232,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
674,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^3,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^3, x)","F"
675,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^3,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^3, x)","F"
676,0,-1,23,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x)^3,x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x)^3, x)","F"
677,0,-1,46,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)), x)","F"
678,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^2), x)","F"
679,0,-1,25,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^3), x)","F"
680,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^3,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^3, x)","F"
681,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^3,x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^3, x)","F"
682,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^3,x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^3} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^3, x)","F"
683,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(1/2)), x)","F"
684,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(3/2)), x)","F"
685,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^3\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^3*(c + a^2*c*x^2)^(5/2)), x)","F"
686,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2),x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2), x)","F"
687,0,-1,57,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2),x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2), x)","F"
688,0,-1,22,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2),x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2), x)","F"
689,0,-1,25,0.000000,"\text{Not used}","int((atan(a*x)^(1/2)*(c + a^2*c*x^2))/x,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right)}{x} \,d x","Not used",0,"int((atan(a*x)^(1/2)*(c + a^2*c*x^2))/x, x)","F"
690,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2,x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2, x)","F"
691,0,-1,61,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2,x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2, x)","F"
692,0,-1,24,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2,x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2, x)","F"
693,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(1/2)*(c + a^2*c*x^2)^2)/x,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2}{x} \,d x","Not used",0,"int((atan(a*x)^(1/2)*(c + a^2*c*x^2)^2)/x, x)","F"
694,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3,x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3, x)","F"
695,0,-1,61,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3,x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3, x)","F"
696,0,-1,24,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3,x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3, x)","F"
697,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(1/2)*(c + a^2*c*x^2)^3)/x,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3}{x} \,d x","Not used",0,"int((atan(a*x)^(1/2)*(c + a^2*c*x^2)^3)/x, x)","F"
698,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2),x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2), x)","F"
699,0,-1,61,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2),x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2), x)","F"
700,0,-1,37,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2),x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2), x)","F"
701,0,-1,41,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2),x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2), x)","F"
702,1,14,18,0.377350,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2),x)","\frac{2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{3\,a\,c}","Not used",1,"(2*atan(a*x)^(3/2))/(3*a*c)","B"
703,0,-1,49,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)), x)","F"
704,0,-1,36,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)), x)","F"
705,0,-1,74,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^3*(c + a^2*c*x^2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^3*(c + a^2*c*x^2)), x)","F"
706,0,-1,61,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^4*(c + a^2*c*x^2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^4\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^4*(c + a^2*c*x^2)), x)","F"
707,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2, x)","F"
708,0,-1,27,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2, x)","F"
709,0,-1,80,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2, x)","F"
710,0,-1,79,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^2, x)","F"
711,0,-1,77,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^2,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^2, x)","F"
712,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^2),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^2), x)","F"
713,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
714,0,-1,27,0.000000,"\text{Not used}","int((x^5*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^5\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^5*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
715,0,-1,139,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^4\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^4*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
716,0,-1,118,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
717,0,-1,83,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
718,0,-1,118,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^3, x)","F"
719,0,-1,139,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^3,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^3, x)","F"
720,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^3),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^3), x)","F"
721,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2), x)","F"
722,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2), x)","F"
723,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2),x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2), x)","F"
724,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2),x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2), x)","F"
725,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2), x)","F"
726,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2), x)","F"
727,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2),x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2), x)","F"
728,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2),x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2), x)","F"
729,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2), x)","F"
730,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2), x)","F"
731,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2),x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2), x)","F"
732,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2),x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2), x)","F"
733,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2), x)","F"
734,0,-1,137,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2), x)","F"
735,0,-1,101,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2), x)","F"
736,0,-1,63,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(1/2), x)","F"
737,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(1/2), x)","F"
738,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
739,0,-1,65,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
740,0,-1,103,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
741,0,-1,138,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
742,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2), x)","F"
743,0,-1,29,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2), x)","F"
744,0,-1,29,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2), x)","F"
745,0,-1,93,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(3/2), x)","F"
746,0,-1,91,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(3/2), x)","F"
747,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
748,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x^2*(c + a^2*c*x^2)^(3/2)), x)","F"
749,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^m\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2), x)","F"
750,0,-1,29,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^4*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2), x)","F"
751,0,-1,215,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2), x)","F"
752,0,-1,163,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2), x)","F"
753,0,-1,163,0.000000,"\text{Not used}","int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x)^(1/2))/(c + a^2*c*x^2)^(5/2), x)","F"
754,0,-1,213,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^(1/2)/(c + a^2*c*x^2)^(5/2), x)","F"
755,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(atan(a*x)^(1/2)/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
756,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2), x)","F"
757,0,-1,25,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2), x)","F"
758,0,-1,57,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2), x)","F"
759,0,-1,81,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2), x)","F"
760,0,-1,25,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right)}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2))/x, x)","F"
761,0,-1,25,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right)}{x^2} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2))/x^2, x)","F"
762,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2, x)","F"
763,0,-1,27,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2, x)","F"
764,0,-1,61,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2, x)","F"
765,0,-1,172,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2,x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2, x)","F"
766,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^2)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^2)/x, x)","F"
767,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^2)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2}{x^2} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^2)/x^2, x)","F"
768,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3, x)","F"
769,0,-1,27,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3, x)","F"
770,0,-1,61,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3, x)","F"
771,0,-1,259,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3,x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3, x)","F"
772,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^3)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^3)/x, x)","F"
773,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^3)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3}{x^2} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^3)/x^2, x)","F"
774,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2), x)","F"
775,0,-1,61,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2), x)","F"
776,0,-1,37,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2), x)","F"
777,0,-1,41,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2), x)","F"
778,1,14,18,0.387065,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2),x)","\frac{2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{5\,a\,c}","Not used",1,"(2*atan(a*x)^(5/2))/(5*a*c)","B"
779,0,-1,49,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)), x)","F"
780,0,-1,36,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)), x)","F"
781,0,-1,74,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^3*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^3*(c + a^2*c*x^2)), x)","F"
782,0,-1,61,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^4*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^4\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^4*(c + a^2*c*x^2)), x)","F"
783,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2, x)","F"
784,0,-1,27,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2, x)","F"
785,0,-1,127,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2, x)","F"
786,0,-1,109,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^2, x)","F"
787,0,-1,124,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^2, x)","F"
788,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^2), x)","F"
789,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
790,0,-1,27,0.000000,"\text{Not used}","int((x^5*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^5\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^5*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
791,0,-1,230,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^4*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
792,0,-1,168,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
793,0,-1,108,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
794,0,-1,168,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^3, x)","F"
795,0,-1,219,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^3, x)","F"
796,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^3), x)","F"
797,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2), x)","F"
798,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2), x)","F"
799,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2), x)","F"
800,0,-1,119,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2), x)","F"
801,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2))/x, x)","F"
802,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2), x)","F"
803,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2), x)","F"
804,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2), x)","F"
805,0,-1,212,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2), x)","F"
806,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2))/x, x)","F"
807,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2), x)","F"
808,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2), x)","F"
809,0,-1,66,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2), x)","F"
810,0,-1,307,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2), x)","F"
811,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x} \,d x","Not used",0,"int((atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2))/x, x)","F"
812,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2), x)","F"
813,0,-1,168,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2), x)","F"
814,0,-1,132,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2), x)","F"
815,0,-1,63,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(1/2), x)","F"
816,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(1/2), x)","F"
817,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
818,0,-1,65,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
819,0,-1,138,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
820,0,-1,173,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
821,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2), x)","F"
822,0,-1,29,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2), x)","F"
823,0,-1,29,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2), x)","F"
824,0,-1,129,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(3/2), x)","F"
825,0,-1,125,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(3/2), x)","F"
826,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
827,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(3/2)), x)","F"
828,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
829,0,-1,29,0.000000,"\text{Not used}","int((x^5*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^5\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^5*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
830,0,-1,29,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^4*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
831,0,-1,263,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
832,0,-1,247,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
833,0,-1,248,0.000000,"\text{Not used}","int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x)^(3/2))/(c + a^2*c*x^2)^(5/2), x)","F"
834,0,-1,252,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^(3/2)/(c + a^2*c*x^2)^(5/2), x)","F"
835,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
836,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x^2\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(atan(a*x)^(3/2)/(x^2*(c + a^2*c*x^2)^(5/2)), x)","F"
837,0,-1,25,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2), x)","F"
838,0,-1,25,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2), x)","F"
839,0,-1,117,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2), x)","F"
840,0,-1,81,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right) \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2), x)","F"
841,0,-1,25,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right)}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2))/x, x)","F"
842,0,-1,25,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2))/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right)}{x^2} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2))/x^2, x)","F"
843,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2, x)","F"
844,0,-1,27,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2, x)","F"
845,0,-1,216,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2, x)","F"
846,0,-1,172,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2,x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2 \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2, x)","F"
847,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^2)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^2)/x, x)","F"
848,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^2)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2}{x^2} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^2)/x^2, x)","F"
849,0,-1,27,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3,x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3, x)","F"
850,0,-1,27,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3,x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3, x)","F"
851,0,-1,309,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3,x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3, x)","F"
852,0,-1,259,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3,x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3 \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3, x)","F"
853,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^3)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^3)/x, x)","F"
854,0,-1,27,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^3)/x^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3}{x^2} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^3)/x^2, x)","F"
855,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2), x)","F"
856,0,-1,61,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2), x)","F"
857,0,-1,37,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2), x)","F"
858,0,-1,41,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2), x)","F"
859,1,14,18,0.395259,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2),x)","\frac{2\,{\mathrm{atan}\left(a\,x\right)}^{7/2}}{7\,a\,c}","Not used",1,"(2*atan(a*x)^(7/2))/(7*a*c)","B"
860,0,-1,49,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)), x)","F"
861,0,-1,36,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^2*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^2\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^2*(c + a^2*c*x^2)), x)","F"
862,0,-1,74,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^3*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^3\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^3*(c + a^2*c*x^2)), x)","F"
863,0,-1,61,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^4*(c + a^2*c*x^2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^4\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^4*(c + a^2*c*x^2)), x)","F"
864,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2, x)","F"
865,0,-1,27,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2, x)","F"
866,0,-1,157,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2, x)","F"
867,0,-1,156,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2,x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^2, x)","F"
868,0,-1,151,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^2,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^2, x)","F"
869,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^2), x)","F"
870,0,-1,27,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
871,0,-1,27,0.000000,"\text{Not used}","int((x^5*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^5\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int((x^5*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
872,0,-1,310,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^4*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
873,0,-1,256,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
874,0,-1,133,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
875,0,-1,254,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3,x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^3, x)","F"
876,0,-1,296,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^3,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^3, x)","F"
877,0,-1,27,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^3),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^3), x)","F"
878,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2), x)","F"
879,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2), x)","F"
880,0,-1,160,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2), x)","F"
881,0,-1,119,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c} \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2), x)","F"
882,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2))/x, x)","F"
883,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2), x)","F"
884,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2), x)","F"
885,0,-1,259,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2), x)","F"
886,0,-1,212,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2} \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2), x)","F"
887,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2))/x, x)","F"
888,0,-1,29,0.000000,"\text{Not used}","int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^m*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2), x)","F"
889,0,-1,29,0.000000,"\text{Not used}","int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2),x)","\int x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2), x)","F"
890,0,-1,360,0.000000,"\text{Not used}","int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2), x)","F"
891,0,-1,307,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2} \,d x","Not used",0,"int(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2), x)","F"
892,0,-1,29,0.000000,"\text{Not used}","int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2))/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x} \,d x","Not used",0,"int((atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2))/x, x)","F"
893,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2), x)","F"
894,0,-1,199,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2), x)","F"
895,0,-1,132,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2), x)","F"
896,0,-1,63,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(1/2), x)","F"
897,0,-1,26,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(1/2), x)","F"
898,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(1/2)), x)","F"
899,0,-1,65,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^2*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^2\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^2*(c + a^2*c*x^2)^(1/2)), x)","F"
900,0,-1,138,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^3*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^3\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^3*(c + a^2*c*x^2)^(1/2)), x)","F"
901,0,-1,208,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x^4*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x^4\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x^4*(c + a^2*c*x^2)^(1/2)), x)","F"
902,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2), x)","F"
903,0,-1,29,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2), x)","F"
904,0,-1,161,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(3/2), x)","F"
905,0,-1,155,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(3/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(3/2), x)","F"
906,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(3/2)), x)","F"
907,0,-1,29,0.000000,"\text{Not used}","int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^m\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^m*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2), x)","F"
908,0,-1,29,0.000000,"\text{Not used}","int((x^4*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int((x^4*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2), x)","F"
909,0,-1,350,0.000000,"\text{Not used}","int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^3*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2), x)","F"
910,0,-1,295,0.000000,"\text{Not used}","int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x^2*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2), x)","F"
911,0,-1,293,0.000000,"\text{Not used}","int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((x*atan(a*x)^(5/2))/(c + a^2*c*x^2)^(5/2), x)","F"
912,0,-1,337,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(5/2),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(atan(a*x)^(5/2)/(c + a^2*c*x^2)^(5/2), x)","F"
913,0,-1,29,0.000000,"\text{Not used}","int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{5/2}}{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(atan(a*x)^(5/2)/(x*(c + a^2*c*x^2)^(5/2)), x)","F"
914,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x)^(1/2),x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x)^(1/2), x)","F"
915,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x)^(1/2),x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x)^(1/2), x)","F"
916,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x)^(1/2),x)","\int \frac{c\,a^2\,x^2+c}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x)^(1/2), x)","F"
917,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)^(1/2)),x)","\int \frac{c\,a^2\,x^2+c}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)^(1/2)), x)","F"
918,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(1/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(1/2), x)","F"
919,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(1/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(1/2), x)","F"
920,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x)^(1/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x)^(1/2), x)","F"
921,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)^(1/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)^(1/2)), x)","F"
922,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(1/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(1/2), x)","F"
923,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(1/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(1/2), x)","F"
924,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x)^(1/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x)^(1/2), x)","F"
925,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)^(1/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)^(1/2)), x)","F"
926,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)), x)","F"
927,0,-1,37,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)), x)","F"
928,1,14,16,0.343478,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)),x)","\frac{2\,\sqrt{\mathrm{atan}\left(a\,x\right)}}{a\,c}","Not used",1,"(2*atan(a*x)^(1/2))/(a*c)","B"
929,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)), x)","F"
930,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
931,0,-1,27,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
932,0,-1,47,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
933,0,-1,31,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
934,0,-1,47,0.000000,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
935,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^2), x)","F"
936,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
937,0,-1,27,0.000000,"\text{Not used}","int(x^5/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^5}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^5/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
938,0,-1,89,0.000000,"\text{Not used}","int(x^4/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^4}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^4/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
939,0,-1,71,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
940,0,-1,58,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
941,0,-1,71,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
942,0,-1,89,0.000000,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
943,0,-1,27,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^3), x)","F"
944,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(1/2),x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(1/2), x)","F"
945,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(1/2),x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(1/2), x)","F"
946,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(1/2),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(1/2), x)","F"
947,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(1/2)),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(1/2)), x)","F"
948,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(1/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(1/2), x)","F"
949,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(1/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(1/2), x)","F"
950,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(1/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(1/2), x)","F"
951,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(1/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(1/2)), x)","F"
952,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(1/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(1/2), x)","F"
953,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(1/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(1/2), x)","F"
954,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(1/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(1/2), x)","F"
955,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(1/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(1/2)), x)","F"
956,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
957,0,-1,27,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
958,0,-1,26,0.000000,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
959,0,-1,29,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
960,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
961,0,-1,29,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
962,0,-1,60,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
963,0,-1,60,0.000000,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
964,0,-1,29,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
965,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
966,0,-1,29,0.000000,"\text{Not used}","int(x^4/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^4}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^4/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
967,0,-1,131,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
968,0,-1,131,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
969,0,-1,131,0.000000,"\text{Not used}","int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
970,0,-1,131,0.000000,"\text{Not used}","int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
971,0,-1,29,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
972,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x)^(3/2),x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x)^(3/2), x)","F"
973,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x)^(3/2),x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x)^(3/2), x)","F"
974,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x)^(3/2),x)","\int \frac{c\,a^2\,x^2+c}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x)^(3/2), x)","F"
975,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)^(3/2)),x)","\int \frac{c\,a^2\,x^2+c}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)^(3/2)), x)","F"
976,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(3/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(3/2), x)","F"
977,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(3/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(3/2), x)","F"
978,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x)^(3/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x)^(3/2), x)","F"
979,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)^(3/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)^(3/2)), x)","F"
980,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(3/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(3/2), x)","F"
981,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(3/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(3/2), x)","F"
982,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x)^(3/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x)^(3/2), x)","F"
983,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)^(3/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)^(3/2)), x)","F"
984,0,-1,46,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)), x)","F"
985,0,-1,37,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)), x)","F"
986,1,14,16,0.328391,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)),x)","-\frac{2}{a\,c\,\sqrt{\mathrm{atan}\left(a\,x\right)}}","Not used",1,"-2/(a*c*atan(a*x)^(1/2))","B"
987,0,-1,43,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)), x)","F"
988,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
989,0,-1,93,0.000000,"\text{Not used}","int(x^4/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^4}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^4/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
990,0,-1,106,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
991,0,-1,60,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
992,0,-1,138,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
993,0,-1,57,0.000000,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
994,0,-1,102,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
995,0,-1,93,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
996,0,-1,93,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
997,0,-1,93,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^2), x)","F"
998,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
999,0,-1,96,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1000,0,-1,67,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1001,0,-1,93,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1002,0,-1,94,0.000000,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1003,0,-1,140,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1004,0,-1,93,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1005,0,-1,93,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1006,0,-1,93,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^3), x)","F"
1007,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(3/2),x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(3/2), x)","F"
1008,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(3/2),x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(3/2), x)","F"
1009,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(3/2),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(3/2), x)","F"
1010,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(3/2)),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(3/2)), x)","F"
1011,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(3/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(3/2), x)","F"
1012,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(3/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(3/2), x)","F"
1013,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(3/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(3/2), x)","F"
1014,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(3/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(3/2)), x)","F"
1015,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(3/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(3/2), x)","F"
1016,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(3/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(3/2), x)","F"
1017,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(3/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(3/2), x)","F"
1018,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(3/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(3/2)), x)","F"
1019,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1020,0,-1,27,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1021,0,-1,26,0.000000,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1022,0,-1,68,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1023,0,-1,29,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1024,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1025,0,-1,100,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1026,0,-1,127,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1027,0,-1,93,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1028,0,-1,92,0.000000,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1029,0,-1,126,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1030,0,-1,100,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1031,0,-1,100,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1032,0,-1,100,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1033,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1034,0,-1,160,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1035,0,-1,281,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1036,0,-1,280,0.000000,"\text{Not used}","int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1037,0,-1,157,0.000000,"\text{Not used}","int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1038,0,-1,186,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1039,0,-1,100,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1040,0,-1,100,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1041,0,-1,100,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{3/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(3/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1042,0,-1,25,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2))/atan(a*x)^(5/2),x)","\int \frac{x^m\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2))/atan(a*x)^(5/2), x)","F"
1043,0,-1,23,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2))/atan(a*x)^(5/2),x)","\int \frac{x\,\left(c\,a^2\,x^2+c\right)}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2))/atan(a*x)^(5/2), x)","F"
1044,0,-1,22,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/atan(a*x)^(5/2),x)","\int \frac{c\,a^2\,x^2+c}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)/atan(a*x)^(5/2), x)","F"
1045,0,-1,25,0.000000,"\text{Not used}","int((c + a^2*c*x^2)/(x*atan(a*x)^(5/2)),x)","\int \frac{c\,a^2\,x^2+c}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)/(x*atan(a*x)^(5/2)), x)","F"
1046,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(5/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^2)/atan(a*x)^(5/2), x)","F"
1047,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(5/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^2)/atan(a*x)^(5/2), x)","F"
1048,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/atan(a*x)^(5/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/atan(a*x)^(5/2), x)","F"
1049,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^2/(x*atan(a*x)^(5/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^2}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^2/(x*atan(a*x)^(5/2)), x)","F"
1050,0,-1,27,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(5/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^3)/atan(a*x)^(5/2), x)","F"
1051,0,-1,25,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(5/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^3)/atan(a*x)^(5/2), x)","F"
1052,0,-1,24,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/atan(a*x)^(5/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/atan(a*x)^(5/2), x)","F"
1053,0,-1,27,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^3/(x*atan(a*x)^(5/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^3}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^3/(x*atan(a*x)^(5/2)), x)","F"
1054,0,-1,50,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)), x)","F"
1055,0,-1,41,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)), x)","F"
1056,1,14,18,0.332292,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)),x)","-\frac{2}{3\,a\,c\,{\mathrm{atan}\left(a\,x\right)}^{3/2}}","Not used",1,"-2/(3*a*c*atan(a*x)^(3/2))","B"
1057,0,-1,47,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\left(c\,a^2\,x^2+c\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)), x)","F"
1058,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1059,0,-1,186,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1060,0,-1,180,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1061,0,-1,101,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1062,0,-1,174,0.000000,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",1,"int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1063,0,-1,180,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1064,0,-1,198,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1065,0,-1,189,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1066,0,-1,189,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^2} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^2), x)","F"
1067,0,-1,27,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1068,0,-1,160,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1069,0,-1,129,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1070,0,-1,155,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1071,0,-1,125,0.000000,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",1,"int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1072,0,-1,216,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1073,0,-1,231,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1074,0,-1,187,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1075,0,-1,191,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^3} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^3), x)","F"
1076,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(5/2),x)","\int \frac{x^m\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(5/2), x)","F"
1077,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(5/2),x)","\int \frac{x\,\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(1/2))/atan(a*x)^(5/2), x)","F"
1078,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(5/2),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/atan(a*x)^(5/2), x)","F"
1079,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(5/2)),x)","\int \frac{\sqrt{c\,a^2\,x^2+c}}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(1/2)/(x*atan(a*x)^(5/2)), x)","F"
1080,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(5/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(5/2), x)","F"
1081,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(5/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(3/2))/atan(a*x)^(5/2), x)","F"
1082,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(5/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/atan(a*x)^(5/2), x)","F"
1083,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(5/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{3/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(3/2)/(x*atan(a*x)^(5/2)), x)","F"
1084,0,-1,29,0.000000,"\text{Not used}","int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(5/2),x)","\int \frac{x^m\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(5/2), x)","F"
1085,0,-1,27,0.000000,"\text{Not used}","int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(5/2),x)","\int \frac{x\,{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((x*(c + a^2*c*x^2)^(5/2))/atan(a*x)^(5/2), x)","F"
1086,0,-1,26,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(5/2),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/atan(a*x)^(5/2), x)","F"
1087,0,-1,29,0.000000,"\text{Not used}","int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(5/2)),x)","\int \frac{{\left(c\,a^2\,x^2+c\right)}^{5/2}}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}} \,d x","Not used",0,"int((c + a^2*c*x^2)^(5/2)/(x*atan(a*x)^(5/2)), x)","F"
1088,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1089,0,-1,27,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1090,0,-1,26,0.000000,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1091,0,-1,72,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1092,0,-1,29,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,\sqrt{c\,a^2\,x^2+c}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(1/2)), x)","F"
1093,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1094,0,-1,229,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1095,0,-1,231,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1096,0,-1,129,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1097,0,-1,126,0.000000,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1098,0,-1,227,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1099,0,-1,227,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1100,0,-1,202,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1101,0,-1,206,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{3/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(3/2)), x)","F"
1102,0,-1,29,0.000000,"\text{Not used}","int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^m}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(x^m/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1103,0,-1,190,0.000000,"\text{Not used}","int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^3}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^3/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1104,0,-1,224,0.000000,"\text{Not used}","int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x^2}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x^2/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1105,0,-1,222,0.000000,"\text{Not used}","int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(x/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1106,0,-1,183,0.000000,"\text{Not used}","int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(1/(atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1107,0,-1,287,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1108,0,-1,292,0.000000,"\text{Not used}","int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^2\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^2*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1109,0,-1,198,0.000000,"\text{Not used}","int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^3\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^3*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1110,0,-1,206,0.000000,"\text{Not used}","int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)),x)","\int \frac{1}{x^4\,{\mathrm{atan}\left(a\,x\right)}^{5/2}\,{\left(c\,a^2\,x^2+c\right)}^{5/2}} \,d x","Not used",0,"int(1/(x^4*atan(a*x)^(5/2)*(c + a^2*c*x^2)^(5/2)), x)","F"
1111,0,-1,46,0.000000,"\text{Not used}","int((x*atan(a*x)^n)/(c + a^2*c*x^2),x)","\int \frac{x\,{\mathrm{atan}\left(a\,x\right)}^n}{c\,a^2\,x^2+c} \,d x","Not used",0,"int((x*atan(a*x)^n)/(c + a^2*c*x^2), x)","F"
1112,1,20,20,0.360864,"\text{Not used}","int(atan(a*x)^n/(c + a^2*c*x^2),x)","\frac{{\mathrm{atan}\left(a\,x\right)}^{n+1}}{a\,c\,\left(n+1\right)}","Not used",1,"atan(a*x)^(n + 1)/(a*c*(n + 1))","B"
1113,0,-1,31,0.000000,"\text{Not used}","int((a + b*atan(c*x))^p*(d + c^2*d*x^2)^q*(f*x)^m,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^p\,{\left(d\,c^2\,x^2+d\right)}^q\,{\left(f\,x\right)}^m \,d x","Not used",0,"int((a + b*atan(c*x))^p*(d + c^2*d*x^2)^q*(f*x)^m, x)","F"
1114,1,105,107,0.620742,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2),x)","\frac{a\,d\,x^4}{4}+\frac{a\,e\,x^6}{6}+\frac{b\,d\,x}{4\,c^3}-\frac{b\,e\,x}{6\,c^5}-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{4\,c^4}+\frac{b\,e\,\mathrm{atan}\left(c\,x\right)}{6\,c^6}+\frac{b\,d\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}+\frac{b\,e\,x^6\,\mathrm{atan}\left(c\,x\right)}{6}-\frac{b\,d\,x^3}{12\,c}-\frac{b\,e\,x^5}{30\,c}+\frac{b\,e\,x^3}{18\,c^3}","Not used",1,"(a*d*x^4)/4 + (a*e*x^6)/6 + (b*d*x)/(4*c^3) - (b*e*x)/(6*c^5) - (b*d*atan(c*x))/(4*c^4) + (b*e*atan(c*x))/(6*c^6) + (b*d*x^4*atan(c*x))/4 + (b*e*x^6*atan(c*x))/6 - (b*d*x^3)/(12*c) - (b*e*x^5)/(30*c) + (b*e*x^3)/(18*c^3)","B"
1115,1,101,94,0.573192,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2),x)","\frac{a\,d\,x^3}{3}+\frac{a\,e\,x^5}{5}+\frac{b\,d\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,e\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}+\frac{b\,d\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{b\,e\,\ln\left(c^2\,x^2+1\right)}{10\,c^5}-\frac{b\,d\,x^2}{6\,c}-\frac{b\,e\,x^4}{20\,c}+\frac{b\,e\,x^2}{10\,c^3}","Not used",1,"(a*d*x^3)/3 + (a*e*x^5)/5 + (b*d*x^3*atan(c*x))/3 + (b*e*x^5*atan(c*x))/5 + (b*d*log(c^2*x^2 + 1))/(6*c^3) - (b*e*log(c^2*x^2 + 1))/(10*c^5) - (b*d*x^2)/(6*c) - (b*e*x^4)/(20*c) + (b*e*x^2)/(10*c^3)","B"
1116,1,85,82,0.290892,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2),x)","\frac{a\,d\,x^2}{2}+\frac{a\,e\,x^4}{4}-\frac{b\,d\,x}{2\,c}+\frac{b\,e\,x}{4\,c^3}+\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{2\,c^2}-\frac{b\,e\,\mathrm{atan}\left(c\,x\right)}{4\,c^4}+\frac{b\,d\,x^2\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{b\,e\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}-\frac{b\,e\,x^3}{12\,c}","Not used",1,"(a*d*x^2)/2 + (a*e*x^4)/4 - (b*d*x)/(2*c) + (b*e*x)/(4*c^3) + (b*d*atan(c*x))/(2*c^2) - (b*e*atan(c*x))/(4*c^4) + (b*d*x^2*atan(c*x))/2 + (b*e*x^4*atan(c*x))/4 - (b*e*x^3)/(12*c)","B"
1117,1,75,68,0.516044,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2),x)","a\,d\,x+\frac{a\,e\,x^3}{3}+b\,d\,x\,\mathrm{atan}\left(c\,x\right)+\frac{b\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}-\frac{b\,d\,\ln\left(c^2\,x^2+1\right)}{2\,c}+\frac{b\,e\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{b\,e\,x^2}{6\,c}","Not used",1,"a*d*x + (a*e*x^3)/3 + b*d*x*atan(c*x) + (b*e*x^3*atan(c*x))/3 - (b*d*log(c^2*x^2 + 1))/(2*c) + (b*e*log(c^2*x^2 + 1))/(6*c^3) - (b*e*x^2)/(6*c)","B"
1118,1,88,77,0.677758,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x,x)","\left\{\begin{array}{cl} \frac{a\,\left(e\,x^2+2\,d\,\ln\left(x\right)\right)}{2} & \text{\ if\ \ }c=0\\ \frac{a\,\left(e\,x^2+2\,d\,\ln\left(x\right)\right)}{2}-b\,e\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)-\frac{b\,d\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (a*(e*x^2 + 2*d*log(x)))/2, c ~= 0, (a*(e*x^2 + 2*d*log(x)))/2 - b*e*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) - (b*d*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1))*1i)/2)","B"
1119,1,69,57,0.226053,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^2,x)","a\,e\,x-\frac{a\,d}{x}+b\,e\,x\,\mathrm{atan}\left(c\,x\right)-\frac{b\,c\,d\,\ln\left(c^2\,x^2+1\right)}{2}+b\,c\,d\,\ln\left(x\right)-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{x}-\frac{b\,e\,\ln\left(c^2\,x^2+1\right)}{2\,c}","Not used",1,"a*e*x - (a*d)/x + b*e*x*atan(c*x) - (b*c*d*log(c^2*x^2 + 1))/2 + b*c*d*log(x) - (b*d*atan(c*x))/x - (b*e*log(c^2*x^2 + 1))/(2*c)","B"
1120,1,91,77,0.719151,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^3,x)","\left\{\begin{array}{cl} a\,e\,\ln\left(x\right)-\frac{a\,d}{2\,x^2} & \text{\ if\ \ }c=0\\ a\,e\,\ln\left(x\right)-\frac{a\,d}{2\,x^2}-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}-\frac{b\,d\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-\frac{b\,e\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, a*e*log(x) - (a*d)/(2*x^2), c ~= 0, a*e*log(x) - (b*e*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1))*1i)/2 - (a*d)/(2*x^2) - (b*d*atan(c*x))/(2*x^2) - (b*d*(c^3*atan(c*x) + c^2/x))/(2*c))","B"
1121,1,92,83,0.552803,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^4,x)","b\,c\,e\,\ln\left(x\right)-\frac{a\,e}{x}-\frac{b\,c\,e\,\ln\left(c^2\,x^2+1\right)}{2}-\frac{b\,c\,d}{6\,x^2}-\frac{a\,d}{3\,x^3}-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{3\,x^3}-\frac{b\,e\,\mathrm{atan}\left(c\,x\right)}{x}+\frac{b\,c^3\,d\,\ln\left(c^2\,x^2+1\right)}{6}-\frac{b\,c^3\,d\,\ln\left(x\right)}{3}","Not used",1,"b*c*e*log(x) - (a*e)/x - (b*c*e*log(c^2*x^2 + 1))/2 - (b*c*d)/(6*x^2) - (a*d)/(3*x^3) - (b*d*atan(c*x))/(3*x^3) - (b*e*atan(c*x))/x + (b*c^3*d*log(c^2*x^2 + 1))/6 - (b*c^3*d*log(x))/3","B"
1122,1,162,82,0.588314,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^5,x)","-\frac{\frac{a\,d}{4}+\frac{a\,x^2\,\left(d\,c^2+2\,e\right)}{4}+\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{4}+\frac{b\,c\,d\,x}{12}+\frac{b\,c^3\,x^5\,\left(2\,e-c^2\,d\right)}{4}+\frac{b\,c\,x^3\,\left(3\,e-c^2\,d\right)}{6}-\frac{a\,c^4\,e\,x^6}{2}+\frac{b\,x^2\,\mathrm{atan}\left(c\,x\right)\,\left(d\,c^2+2\,e\right)}{4}+\frac{b\,c^2\,e\,x^4\,\mathrm{atan}\left(c\,x\right)}{2}}{c^2\,x^6+x^4}-\frac{\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,\left(2\,b\,e-b\,c^2\,d\right)\,{\left(c^2\right)}^{3/2}}{4\,c}","Not used",1,"- ((a*d)/4 + (a*x^2*(2*e + c^2*d))/4 + (b*d*atan(c*x))/4 + (b*c*d*x)/12 + (b*c^3*x^5*(2*e - c^2*d))/4 + (b*c*x^3*(3*e - c^2*d))/6 - (a*c^4*e*x^6)/2 + (b*x^2*atan(c*x)*(2*e + c^2*d))/4 + (b*c^2*e*x^4*atan(c*x))/2)/(x^4 + c^2*x^6) - (atan((c^2*x)/(c^2)^(1/2))*(2*b*e - b*c^2*d)*(c^2)^(3/2))/(4*c)","B"
1123,1,111,110,0.235586,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^6,x)","\frac{b\,c^3\,e\,\ln\left(c^2\,x^2+1\right)}{6}-\frac{b\,c^5\,d\,\ln\left(c^2\,x^2+1\right)}{10}-\frac{x^3\,\left(\frac{b\,c\,e}{6}-\frac{b\,c^3\,d}{10}\right)+\frac{a\,d}{5}+x^2\,\left(\frac{a\,e}{3}+\frac{b\,e\,\mathrm{atan}\left(c\,x\right)}{3}\right)+\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{5}+\frac{b\,c\,d\,x}{20}}{x^5}+\frac{b\,c^5\,d\,\ln\left(x\right)}{5}-\frac{b\,c^3\,e\,\ln\left(x\right)}{3}","Not used",1,"(b*c^3*e*log(c^2*x^2 + 1))/6 - (b*c^5*d*log(c^2*x^2 + 1))/10 - (x^3*((b*c*e)/6 - (b*c^3*d)/10) + (a*d)/5 + x^2*((a*e)/3 + (b*e*atan(c*x))/3) + (b*d*atan(c*x))/5 + (b*c*d*x)/20)/x^5 + (b*c^5*d*log(x))/5 - (b*c^3*e*log(x))/3","B"
1124,1,130,105,0.592946,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2))/x^7,x)","\frac{b\,c^4\,\mathrm{atan}\left(\frac{b\,c^2\,x\,\left(3\,e-2\,c^2\,d\right)}{3\,b\,c\,e-2\,b\,c^3\,d}\right)\,\left(3\,e-2\,c^2\,d\right)}{12}-\frac{\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,e\,x^2}{4}+\frac{b\,d}{6}\right)}{x^6}-\frac{x^3\,\left(b\,c\,e-\frac{2\,b\,c^3\,d}{3}\right)+2\,a\,d-c^2\,x^5\,\left(3\,b\,c\,e-2\,b\,c^3\,d\right)+3\,a\,e\,x^2+\frac{2\,b\,c\,d\,x}{5}}{12\,x^6}","Not used",1,"(b*c^4*atan((b*c^2*x*(3*e - 2*c^2*d))/(3*b*c*e - 2*b*c^3*d))*(3*e - 2*c^2*d))/12 - (atan(c*x)*((b*d)/6 + (b*e*x^2)/4))/x^6 - (x^3*(b*c*e - (2*b*c^3*d)/3) + 2*a*d - c^2*x^5*(3*b*c*e - 2*b*c^3*d) + 3*a*e*x^2 + (2*b*c*d*x)/5)/(12*x^6)","B"
1125,1,374,185,0.536128,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2)^2,x)","x^4\,\left(\frac{\frac{a\,e^2}{c^2}-\frac{a\,e\,\left(2\,d\,c^2+e\right)}{c^2}}{4\,c^2}+\frac{a\,d\,\left(d\,c^2+2\,e\right)}{4\,c^2}\right)-x^6\,\left(\frac{a\,e^2}{6\,c^2}-\frac{a\,e\,\left(2\,d\,c^2+e\right)}{6\,c^2}\right)+x^5\,\left(\frac{b\,e^2}{40\,c^3}-\frac{b\,d\,e}{15\,c}\right)+\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^2\,x^4}{4}+\frac{b\,d\,e\,x^6}{3}+\frac{b\,e^2\,x^8}{8}\right)-x^2\,\left(\frac{\frac{\frac{a\,e^2}{c^2}-\frac{a\,e\,\left(2\,d\,c^2+e\right)}{c^2}}{c^2}+\frac{a\,d\,\left(d\,c^2+2\,e\right)}{c^2}}{2\,c^2}-\frac{a\,d^2}{2\,c^2}\right)-x^3\,\left(\frac{\frac{b\,e^2}{8\,c^3}-\frac{b\,d\,e}{3\,c}}{3\,c^2}+\frac{b\,d^2}{12\,c}\right)+\frac{x\,\left(\frac{\frac{b\,e^2}{8\,c^3}-\frac{b\,d\,e}{3\,c}}{c^2}+\frac{b\,d^2}{4\,c}\right)}{c^2}+\frac{a\,e^2\,x^8}{8}-\frac{b\,\mathrm{atan}\left(\frac{b\,c\,x\,\left(6\,c^4\,d^2-8\,c^2\,d\,e+3\,e^2\right)}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}\right)\,\left(6\,c^4\,d^2-8\,c^2\,d\,e+3\,e^2\right)}{24\,c^8}-\frac{b\,e^2\,x^7}{56\,c}","Not used",1,"x^4*(((a*e^2)/c^2 - (a*e*(e + 2*c^2*d))/c^2)/(4*c^2) + (a*d*(2*e + c^2*d))/(4*c^2)) - x^6*((a*e^2)/(6*c^2) - (a*e*(e + 2*c^2*d))/(6*c^2)) + x^5*((b*e^2)/(40*c^3) - (b*d*e)/(15*c)) + atan(c*x)*((b*d^2*x^4)/4 + (b*e^2*x^8)/8 + (b*d*e*x^6)/3) - x^2*((((a*e^2)/c^2 - (a*e*(e + 2*c^2*d))/c^2)/c^2 + (a*d*(2*e + c^2*d))/c^2)/(2*c^2) - (a*d^2)/(2*c^2)) - x^3*(((b*e^2)/(8*c^3) - (b*d*e)/(3*c))/(3*c^2) + (b*d^2)/(12*c)) + (x*(((b*e^2)/(8*c^3) - (b*d*e)/(3*c))/c^2 + (b*d^2)/(4*c)))/c^2 + (a*e^2*x^8)/8 - (b*atan((b*c*x*(3*e^2 + 6*c^4*d^2 - 8*c^2*d*e))/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e))*(3*e^2 + 6*c^4*d^2 - 8*c^2*d*e))/(24*c^8) - (b*e^2*x^7)/(56*c)","B"
1126,1,191,161,0.794677,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2)^2,x)","\frac{a\,d^2\,x^3}{3}+\frac{a\,e^2\,x^7}{7}+\frac{b\,d^2\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}+\frac{b\,e^2\,\ln\left(c^2\,x^2+1\right)}{14\,c^7}-\frac{b\,d^2\,x^2}{6\,c}-\frac{b\,e^2\,x^6}{42\,c}+\frac{b\,e^2\,x^4}{28\,c^3}-\frac{b\,e^2\,x^2}{14\,c^5}+\frac{2\,a\,d\,e\,x^5}{5}+\frac{b\,d^2\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,e^2\,x^7\,\mathrm{atan}\left(c\,x\right)}{7}-\frac{b\,d\,e\,\ln\left(c^2\,x^2+1\right)}{5\,c^5}-\frac{b\,d\,e\,x^4}{10\,c}+\frac{b\,d\,e\,x^2}{5\,c^3}+\frac{2\,b\,d\,e\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}","Not used",1,"(a*d^2*x^3)/3 + (a*e^2*x^7)/7 + (b*d^2*log(c^2*x^2 + 1))/(6*c^3) + (b*e^2*log(c^2*x^2 + 1))/(14*c^7) - (b*d^2*x^2)/(6*c) - (b*e^2*x^6)/(42*c) + (b*e^2*x^4)/(28*c^3) - (b*e^2*x^2)/(14*c^5) + (2*a*d*e*x^5)/5 + (b*d^2*x^3*atan(c*x))/3 + (b*e^2*x^7*atan(c*x))/7 - (b*d*e*log(c^2*x^2 + 1))/(5*c^5) - (b*d*e*x^4)/(10*c) + (b*d*e*x^2)/(5*c^3) + (2*b*d*e*x^5*atan(c*x))/5","B"
1127,1,167,115,0.457945,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2)^2,x)","\frac{a\,d^2\,x^2}{2}+\frac{a\,e^2\,x^6}{6}-\frac{b\,e^2\,x^5}{30\,c}+\frac{b\,e^2\,x^3}{18\,c^3}+\frac{a\,d\,e\,x^4}{2}-\frac{b\,d^2\,x}{2\,c}-\frac{b\,e^2\,x}{6\,c^5}+\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{2\,c^2}+\frac{b\,e^2\,\mathrm{atan}\left(c\,x\right)}{6\,c^6}+\frac{b\,d^2\,x^2\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{b\,e^2\,x^6\,\mathrm{atan}\left(c\,x\right)}{6}-\frac{b\,d\,e\,x^3}{6\,c}+\frac{b\,d\,e\,x}{2\,c^3}-\frac{b\,d\,e\,\mathrm{atan}\left(c\,x\right)}{2\,c^4}+\frac{b\,d\,e\,x^4\,\mathrm{atan}\left(c\,x\right)}{2}","Not used",1,"(a*d^2*x^2)/2 + (a*e^2*x^6)/6 - (b*e^2*x^5)/(30*c) + (b*e^2*x^3)/(18*c^3) + (a*d*e*x^4)/2 - (b*d^2*x)/(2*c) - (b*e^2*x)/(6*c^5) + (b*d^2*atan(c*x))/(2*c^2) + (b*e^2*atan(c*x))/(6*c^6) + (b*d^2*x^2*atan(c*x))/2 + (b*e^2*x^6*atan(c*x))/6 - (b*d*e*x^3)/(6*c) + (b*d*e*x)/(2*c^3) - (b*d*e*atan(c*x))/(2*c^4) + (b*d*e*x^4*atan(c*x))/2","B"
1128,1,150,124,0.661502,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2)^2,x)","\frac{a\,e^2\,x^5}{5}+a\,d^2\,x-\frac{b\,d^2\,\ln\left(c^2\,x^2+1\right)}{2\,c}-\frac{b\,e^2\,\ln\left(c^2\,x^2+1\right)}{10\,c^5}-\frac{b\,e^2\,x^4}{20\,c}+\frac{b\,e^2\,x^2}{10\,c^3}+\frac{2\,a\,d\,e\,x^3}{3}+b\,d^2\,x\,\mathrm{atan}\left(c\,x\right)+\frac{b\,e^2\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}+\frac{b\,d\,e\,\ln\left(c^2\,x^2+1\right)}{3\,c^3}-\frac{b\,d\,e\,x^2}{3\,c}+\frac{2\,b\,d\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}","Not used",1,"(a*e^2*x^5)/5 + a*d^2*x - (b*d^2*log(c^2*x^2 + 1))/(2*c) - (b*e^2*log(c^2*x^2 + 1))/(10*c^5) - (b*e^2*x^4)/(20*c) + (b*e^2*x^2)/(10*c^3) + (2*a*d*e*x^3)/3 + b*d^2*x*atan(c*x) + (b*e^2*x^5*atan(c*x))/5 + (b*d*e*log(c^2*x^2 + 1))/(3*c^3) - (b*d*e*x^2)/(3*c) + (2*b*d*e*x^3*atan(c*x))/3","B"
1129,1,157,137,0.712593,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x,x)","\left\{\begin{array}{cl} \frac{a\,\left(4\,d^2\,\ln\left(x\right)+e^2\,x^4+4\,d\,e\,x^2\right)}{4} & \text{\ if\ \ }c=0\\ \frac{a\,\left(4\,d^2\,\ln\left(x\right)+e^2\,x^4+4\,d\,e\,x^2\right)}{4}-2\,b\,d\,e\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)-\frac{b\,e^2\,\left(3\,\mathrm{atan}\left(c\,x\right)-3\,c\,x+c^3\,x^3\right)}{12\,c^4}+\frac{b\,e^2\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}-\frac{b\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (a*(4*d^2*log(x) + e^2*x^4 + 4*d*e*x^2))/4, c ~= 0, (a*(4*d^2*log(x) + e^2*x^4 + 4*d*e*x^2))/4 - (b*d^2*dilog(- c*x*1i + 1)*1i)/2 + (b*d^2*dilog(c*x*1i + 1)*1i)/2 - 2*b*d*e*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) - (b*e^2*(3*atan(c*x) - 3*c*x + c^3*x^3))/(12*c^4) + (b*e^2*x^4*atan(c*x))/4)","B"
1130,1,135,109,0.699810,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^2,x)","\frac{a\,e^2\,x^3}{3}-\frac{a\,d^2}{x}+2\,a\,d\,e\,x+\frac{b\,e^2\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{b\,e^2\,x^2}{6\,c}-\frac{b\,c\,d^2\,\ln\left(c^2\,x^2+1\right)}{2}+b\,c\,d^2\,\ln\left(x\right)-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{x}+\frac{b\,e^2\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}-\frac{b\,d\,e\,\ln\left(c^2\,x^2+1\right)}{c}+2\,b\,d\,e\,x\,\mathrm{atan}\left(c\,x\right)","Not used",1,"(a*e^2*x^3)/3 - (a*d^2)/x + 2*a*d*e*x + (b*e^2*log(c^2*x^2 + 1))/(6*c^3) - (b*e^2*x^2)/(6*c) - (b*c*d^2*log(c^2*x^2 + 1))/2 + b*c*d^2*log(x) - (b*d^2*atan(c*x))/x + (b*e^2*x^3*atan(c*x))/3 - (b*d*e*log(c^2*x^2 + 1))/c + 2*b*d*e*x*atan(c*x)","B"
1131,1,157,128,0.683225,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^3,x)","\left\{\begin{array}{cl} \frac{a\,\left(e^2\,x^4-d^2+4\,d\,e\,x^2\,\ln\left(x\right)\right)}{2\,x^2} & \text{\ if\ \ }c=0\\ \frac{a\,\left(e^2\,x^4-d^2+4\,d\,e\,x^2\,\ln\left(x\right)\right)}{2\,x^2}-b\,e^2\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)-\frac{b\,d^2\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}-b\,d\,e\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (a*(- d^2 + e^2*x^4 + 4*d*e*x^2*log(x)))/(2*x^2), c ~= 0, - b*e^2*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) + (a*(- d^2 + e^2*x^4 + 4*d*e*x^2*log(x)))/(2*x^2) - b*d*e*(dilog(- c*x*1i + 1) - dilog(c*x*1i + 1))*1i - (b*d^2*(c^3*atan(c*x) + c^2/x))/(2*c) - (b*d^2*atan(c*x))/(2*x^2))","B"
1132,1,142,115,0.680195,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^4,x)","a\,e^2\,x-\frac{a\,d^2}{3\,x^3}+\frac{b\,c^3\,d^2\,\ln\left(c^2\,x^2+1\right)}{6}-\frac{b\,e^2\,\ln\left(c^2\,x^2+1\right)}{2\,c}-\frac{b\,c^3\,d^2\,\ln\left(x\right)}{3}-\frac{2\,a\,d\,e}{x}+b\,e^2\,x\,\mathrm{atan}\left(c\,x\right)-\frac{b\,c\,d^2}{6\,x^2}-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{3\,x^3}-b\,c\,d\,e\,\ln\left(c^2\,x^2+1\right)+2\,b\,c\,d\,e\,\ln\left(x\right)-\frac{2\,b\,d\,e\,\mathrm{atan}\left(c\,x\right)}{x}","Not used",1,"a*e^2*x - (a*d^2)/(3*x^3) + (b*c^3*d^2*log(c^2*x^2 + 1))/6 - (b*e^2*log(c^2*x^2 + 1))/(2*c) - (b*c^3*d^2*log(x))/3 - (2*a*d*e)/x + b*e^2*x*atan(c*x) - (b*c*d^2)/(6*x^2) - (b*d^2*atan(c*x))/(3*x^3) - b*c*d*e*log(c^2*x^2 + 1) + 2*b*c*d*e*log(x) - (2*b*d*e*atan(c*x))/x","B"
1133,1,177,139,0.761924,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^5,x)","\left\{\begin{array}{cl} a\,e^2\,\ln\left(x\right)-\frac{\frac{a\,d^2}{4}+a\,e\,d\,x^2}{x^4} & \text{\ if\ \ }c=0\\ a\,e^2\,\ln\left(x\right)-\frac{\frac{a\,d^2}{4}+a\,e\,d\,x^2}{x^4}-\frac{b\,d^2\,\left(\frac{\frac{c^2}{3}-c^4\,x^2}{x^3}-c^5\,\mathrm{atan}\left(c\,x\right)\right)}{4\,c}-2\,b\,d\,e\,\left(\frac{c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}}{2\,c}+\frac{\mathrm{atan}\left(c\,x\right)}{2\,x^2}\right)-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{4\,x^4}-\frac{b\,e^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,e^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, - ((a*d^2)/4 + a*d*e*x^2)/x^4 + a*e^2*log(x), c ~= 0, - ((a*d^2)/4 + a*d*e*x^2)/x^4 + a*e^2*log(x) - (b*e^2*dilog(- c*x*1i + 1)*1i)/2 + (b*e^2*dilog(c*x*1i + 1)*1i)/2 - (b*d^2*((c^2/3 - c^4*x^2)/x^3 - c^5*atan(c*x)))/(4*c) - 2*b*d*e*((c^3*atan(c*x) + c^2/x)/(2*c) + atan(c*x)/(2*x^2)) - (b*d^2*atan(c*x))/(4*x^4))","B"
1134,1,179,150,0.492220,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^6,x)","\frac{b\,c^3\,d^2}{10\,x^2}-\frac{a\,e^2}{x}-\frac{b\,c^5\,d^2\,\ln\left(c^2\,x^2+1\right)}{10}-\frac{a\,d^2}{5\,x^5}+\frac{b\,c^5\,d^2\,\ln\left(x\right)}{5}-\frac{2\,a\,d\,e}{3\,x^3}-\frac{b\,c\,e^2\,\ln\left(c^2\,x^2+1\right)}{2}-\frac{b\,c\,d^2}{20\,x^4}+b\,c\,e^2\,\ln\left(x\right)-\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{5\,x^5}-\frac{b\,e^2\,\mathrm{atan}\left(c\,x\right)}{x}+\frac{b\,c^3\,d\,e\,\ln\left(c^2\,x^2+1\right)}{3}-\frac{2\,b\,c^3\,d\,e\,\ln\left(x\right)}{3}-\frac{b\,c\,d\,e}{3\,x^2}-\frac{2\,b\,d\,e\,\mathrm{atan}\left(c\,x\right)}{3\,x^3}","Not used",1,"(b*c^3*d^2)/(10*x^2) - (a*e^2)/x - (b*c^5*d^2*log(c^2*x^2 + 1))/10 - (a*d^2)/(5*x^5) + (b*c^5*d^2*log(x))/5 - (2*a*d*e)/(3*x^3) - (b*c*e^2*log(c^2*x^2 + 1))/2 - (b*c*d^2)/(20*x^4) + b*c*e^2*log(x) - (b*d^2*atan(c*x))/(5*x^5) - (b*e^2*atan(c*x))/x + (b*c^3*d*e*log(c^2*x^2 + 1))/3 - (2*b*c^3*d*e*log(x))/3 - (b*c*d*e)/(3*x^2) - (2*b*d*e*atan(c*x))/(3*x^3)","B"
1135,1,256,111,0.811867,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^7,x)","-\frac{\frac{a\,d^2}{6}+\frac{b\,d^2\,\mathrm{atan}\left(c\,x\right)}{6}-\frac{a\,c^4\,e^2\,x^8}{2}+\frac{a\,e\,x^4\,\left(d\,c^2+e\right)}{2}+\frac{b\,c\,x^5\,\left(2\,c^4\,d^2-6\,c^2\,d\,e+9\,e^2\right)}{18}+\frac{b\,c\,d^2\,x}{30}+\frac{a\,d\,x^2\,\left(d\,c^2+3\,e\right)}{6}+\frac{b\,c^3\,x^7\,\left(c^4\,d^2-3\,c^2\,d\,e+3\,e^2\right)}{6}+\frac{b\,c\,d\,x^3\,\left(15\,e-2\,c^2\,d\right)}{90}+\frac{b\,d\,x^2\,\mathrm{atan}\left(c\,x\right)\,\left(d\,c^2+3\,e\right)}{6}+\frac{b\,c^2\,e^2\,x^6\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{b\,e\,x^4\,\mathrm{atan}\left(c\,x\right)\,\left(d\,c^2+e\right)}{2}}{c^2\,x^8+x^6}-\frac{\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,{\left(c^2\right)}^{5/2}\,\left(b\,c^4\,d^2-3\,b\,c^2\,d\,e+3\,b\,e^2\right)}{6\,c^3}","Not used",1,"- ((a*d^2)/6 + (b*d^2*atan(c*x))/6 - (a*c^4*e^2*x^8)/2 + (a*e*x^4*(e + c^2*d))/2 + (b*c*x^5*(9*e^2 + 2*c^4*d^2 - 6*c^2*d*e))/18 + (b*c*d^2*x)/30 + (a*d*x^2*(3*e + c^2*d))/6 + (b*c^3*x^7*(3*e^2 + c^4*d^2 - 3*c^2*d*e))/6 + (b*c*d*x^3*(15*e - 2*c^2*d))/90 + (b*d*x^2*atan(c*x)*(3*e + c^2*d))/6 + (b*c^2*e^2*x^6*atan(c*x))/2 + (b*e*x^4*atan(c*x)*(e + c^2*d))/2)/(x^6 + c^2*x^8) - (atan((c^2*x)/(c^2)^(1/2))*(c^2)^(5/2)*(3*b*e^2 + b*c^4*d^2 - 3*b*c^2*d*e))/(6*c^3)","B"
1136,1,232,186,0.633892,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^2)/x^8,x)","-\frac{60\,a\,d^2+60\,b\,d^2\,\mathrm{atan}\left(c\,x\right)+140\,a\,e^2\,x^4-15\,b\,c^3\,d^2\,x^3+30\,b\,c^5\,d^2\,x^5+10\,b\,c\,d^2\,x+168\,a\,d\,e\,x^2+70\,b\,c\,e^2\,x^5+140\,b\,e^2\,x^4\,\mathrm{atan}\left(c\,x\right)+60\,b\,c^7\,d^2\,x^7\,\ln\left(x\right)+140\,b\,c^3\,e^2\,x^7\,\ln\left(x\right)-84\,b\,c^3\,d\,e\,x^5+42\,b\,c\,d\,e\,x^3-30\,b\,c^7\,d^2\,x^7\,\ln\left(c^2\,x^2+1\right)-70\,b\,c^3\,e^2\,x^7\,\ln\left(c^2\,x^2+1\right)+168\,b\,d\,e\,x^2\,\mathrm{atan}\left(c\,x\right)-168\,b\,c^5\,d\,e\,x^7\,\ln\left(x\right)+84\,b\,c^5\,d\,e\,x^7\,\ln\left(c^2\,x^2+1\right)}{420\,x^7}","Not used",1,"-(60*a*d^2 + 60*b*d^2*atan(c*x) + 140*a*e^2*x^4 - 15*b*c^3*d^2*x^3 + 30*b*c^5*d^2*x^5 + 10*b*c*d^2*x + 168*a*d*e*x^2 + 70*b*c*e^2*x^5 + 140*b*e^2*x^4*atan(c*x) + 60*b*c^7*d^2*x^7*log(x) + 140*b*c^3*e^2*x^7*log(x) - 84*b*c^3*d*e*x^5 + 42*b*c*d*e*x^3 - 30*b*c^7*d^2*x^7*log(c^2*x^2 + 1) - 70*b*c^3*e^2*x^7*log(c^2*x^2 + 1) + 168*b*d*e*x^2*atan(c*x) - 168*b*c^5*d*e*x^7*log(x) + 84*b*c^5*d*e*x^7*log(c^2*x^2 + 1))/(420*x^7)","B"
1137,1,599,240,0.620773,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2)^3,x)","x^3\,\left(\frac{\frac{\frac{b\,e^3}{10\,c^3}-\frac{3\,b\,d\,e^2}{8\,c}}{c^2}+\frac{b\,d^2\,e}{2\,c}}{3\,c^2}-\frac{b\,d^3}{12\,c}\right)-x^8\,\left(\frac{a\,e^3}{8\,c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{8\,c^2}\right)+x^6\,\left(\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{6\,c^2}+\frac{a\,d\,e\,\left(d\,c^2+e\right)}{2\,c^2}\right)+x^7\,\left(\frac{b\,e^3}{70\,c^3}-\frac{3\,b\,d\,e^2}{56\,c}\right)+\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3\,x^4}{4}+\frac{b\,d^2\,e\,x^6}{2}+\frac{3\,b\,d\,e^2\,x^8}{8}+\frac{b\,e^3\,x^{10}}{10}\right)-x^5\,\left(\frac{\frac{b\,e^3}{10\,c^3}-\frac{3\,b\,d\,e^2}{8\,c}}{5\,c^2}+\frac{b\,d^2\,e}{10\,c}\right)+x^2\,\left(\frac{\frac{\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{c^2}+\frac{3\,a\,d\,e\,\left(d\,c^2+e\right)}{c^2}}{c^2}-\frac{a\,d^2\,\left(d\,c^2+3\,e\right)}{c^2}}{2\,c^2}+\frac{a\,d^3}{2\,c^2}\right)-x^4\,\left(\frac{\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{c^2}+\frac{3\,a\,d\,e\,\left(d\,c^2+e\right)}{c^2}}{4\,c^2}-\frac{a\,d^2\,\left(d\,c^2+3\,e\right)}{4\,c^2}\right)+\frac{a\,e^3\,x^{10}}{10}-\frac{x\,\left(\frac{\frac{\frac{b\,e^3}{10\,c^3}-\frac{3\,b\,d\,e^2}{8\,c}}{c^2}+\frac{b\,d^2\,e}{2\,c}}{c^2}-\frac{b\,d^3}{4\,c}\right)}{c^2}-\frac{b\,e^3\,x^9}{90\,c}+\frac{b\,\mathrm{atan}\left(\frac{b\,c\,x\,\left(-10\,c^6\,d^3+20\,c^4\,d^2\,e-15\,c^2\,d\,e^2+4\,e^3\right)}{-10\,b\,c^6\,d^3+20\,b\,c^4\,d^2\,e-15\,b\,c^2\,d\,e^2+4\,b\,e^3}\right)\,\left(-10\,c^6\,d^3+20\,c^4\,d^2\,e-15\,c^2\,d\,e^2+4\,e^3\right)}{40\,c^{10}}","Not used",1,"x^3*((((b*e^3)/(10*c^3) - (3*b*d*e^2)/(8*c))/c^2 + (b*d^2*e)/(2*c))/(3*c^2) - (b*d^3)/(12*c)) - x^8*((a*e^3)/(8*c^2) - (a*e^2*(e + 3*c^2*d))/(8*c^2)) + x^6*(((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/(6*c^2) + (a*d*e*(e + c^2*d))/(2*c^2)) + x^7*((b*e^3)/(70*c^3) - (3*b*d*e^2)/(56*c)) + atan(c*x)*((b*d^3*x^4)/4 + (b*e^3*x^10)/10 + (b*d^2*e*x^6)/2 + (3*b*d*e^2*x^8)/8) - x^5*(((b*e^3)/(10*c^3) - (3*b*d*e^2)/(8*c))/(5*c^2) + (b*d^2*e)/(10*c)) + x^2*(((((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/c^2 + (3*a*d*e*(e + c^2*d))/c^2)/c^2 - (a*d^2*(3*e + c^2*d))/c^2)/(2*c^2) + (a*d^3)/(2*c^2)) - x^4*((((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/c^2 + (3*a*d*e*(e + c^2*d))/c^2)/(4*c^2) - (a*d^2*(3*e + c^2*d))/(4*c^2)) + (a*e^3*x^10)/10 - (x*((((b*e^3)/(10*c^3) - (3*b*d*e^2)/(8*c))/c^2 + (b*d^2*e)/(2*c))/c^2 - (b*d^3)/(4*c)))/c^2 - (b*e^3*x^9)/(90*c) + (b*atan((b*c*x*(4*e^3 - 10*c^6*d^3 - 15*c^2*d*e^2 + 20*c^4*d^2*e))/(4*b*e^3 - 10*b*c^6*d^3 - 15*b*c^2*d*e^2 + 20*b*c^4*d^2*e))*(4*e^3 - 10*c^6*d^3 - 15*c^2*d*e^2 + 20*c^4*d^2*e))/(40*c^10)","B"
1138,1,296,239,0.971442,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2)^3,x)","\frac{a\,d^3\,x^3}{3}+\frac{a\,e^3\,x^9}{9}+\frac{b\,d^3\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{b\,e^3\,\ln\left(c^2\,x^2+1\right)}{18\,c^9}-\frac{b\,d^3\,x^2}{6\,c}-\frac{b\,e^3\,x^8}{72\,c}+\frac{b\,e^3\,x^6}{54\,c^3}-\frac{b\,e^3\,x^4}{36\,c^5}+\frac{b\,e^3\,x^2}{18\,c^7}+\frac{3\,a\,d^2\,e\,x^5}{5}+\frac{3\,a\,d\,e^2\,x^7}{7}+\frac{b\,d^3\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,e^3\,x^9\,\mathrm{atan}\left(c\,x\right)}{9}+\frac{3\,b\,d^2\,e\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}+\frac{3\,b\,d\,e^2\,x^7\,\mathrm{atan}\left(c\,x\right)}{7}-\frac{3\,b\,d^2\,e\,\ln\left(c^2\,x^2+1\right)}{10\,c^5}+\frac{3\,b\,d\,e^2\,\ln\left(c^2\,x^2+1\right)}{14\,c^7}-\frac{3\,b\,d^2\,e\,x^4}{20\,c}+\frac{3\,b\,d^2\,e\,x^2}{10\,c^3}-\frac{b\,d\,e^2\,x^6}{14\,c}+\frac{3\,b\,d\,e^2\,x^4}{28\,c^3}-\frac{3\,b\,d\,e^2\,x^2}{14\,c^5}","Not used",1,"(a*d^3*x^3)/3 + (a*e^3*x^9)/9 + (b*d^3*log(c^2*x^2 + 1))/(6*c^3) - (b*e^3*log(c^2*x^2 + 1))/(18*c^9) - (b*d^3*x^2)/(6*c) - (b*e^3*x^8)/(72*c) + (b*e^3*x^6)/(54*c^3) - (b*e^3*x^4)/(36*c^5) + (b*e^3*x^2)/(18*c^7) + (3*a*d^2*e*x^5)/5 + (3*a*d*e^2*x^7)/7 + (b*d^3*x^3*atan(c*x))/3 + (b*e^3*x^9*atan(c*x))/9 + (3*b*d^2*e*x^5*atan(c*x))/5 + (3*b*d*e^2*x^7*atan(c*x))/7 - (3*b*d^2*e*log(c^2*x^2 + 1))/(10*c^5) + (3*b*d*e^2*log(c^2*x^2 + 1))/(14*c^7) - (3*b*d^2*e*x^4)/(20*c) + (3*b*d^2*e*x^2)/(10*c^3) - (b*d*e^2*x^6)/(14*c) + (3*b*d*e^2*x^4)/(28*c^3) - (3*b*d*e^2*x^2)/(14*c^5)","B"
1139,1,442,158,0.560998,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2)^3,x)","x\,\left(\frac{\frac{\frac{b\,e^3}{8\,c^3}-\frac{b\,d\,e^2}{2\,c}}{c^2}+\frac{3\,b\,d^2\,e}{4\,c}}{c^2}-\frac{b\,d^3}{2\,c}\right)-x^6\,\left(\frac{a\,e^3}{6\,c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{6\,c^2}\right)+x^4\,\left(\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{4\,c^2}+\frac{3\,a\,d\,e\,\left(d\,c^2+e\right)}{4\,c^2}\right)+x^5\,\left(\frac{b\,e^3}{40\,c^3}-\frac{b\,d\,e^2}{10\,c}\right)+\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3\,x^2}{2}+\frac{3\,b\,d^2\,e\,x^4}{4}+\frac{b\,d\,e^2\,x^6}{2}+\frac{b\,e^3\,x^8}{8}\right)-x^3\,\left(\frac{\frac{b\,e^3}{8\,c^3}-\frac{b\,d\,e^2}{2\,c}}{3\,c^2}+\frac{b\,d^2\,e}{4\,c}\right)-x^2\,\left(\frac{\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{c^2}+\frac{3\,a\,d\,e\,\left(d\,c^2+e\right)}{c^2}}{2\,c^2}-\frac{a\,d^2\,\left(d\,c^2+3\,e\right)}{2\,c^2}\right)+\frac{a\,e^3\,x^8}{8}-\frac{b\,e^3\,x^7}{56\,c}-\frac{b\,\mathrm{atan}\left(\frac{b\,c\,x\,\left(e-2\,c^2\,d\right)\,\left(2\,c^4\,d^2-2\,c^2\,d\,e+e^2\right)}{-4\,b\,c^6\,d^3+6\,b\,c^4\,d^2\,e-4\,b\,c^2\,d\,e^2+b\,e^3}\right)\,\left(e-2\,c^2\,d\right)\,\left(2\,c^4\,d^2-2\,c^2\,d\,e+e^2\right)}{8\,c^8}","Not used",1,"x*((((b*e^3)/(8*c^3) - (b*d*e^2)/(2*c))/c^2 + (3*b*d^2*e)/(4*c))/c^2 - (b*d^3)/(2*c)) - x^6*((a*e^3)/(6*c^2) - (a*e^2*(e + 3*c^2*d))/(6*c^2)) + x^4*(((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/(4*c^2) + (3*a*d*e*(e + c^2*d))/(4*c^2)) + x^5*((b*e^3)/(40*c^3) - (b*d*e^2)/(10*c)) + atan(c*x)*((b*d^3*x^2)/2 + (b*e^3*x^8)/8 + (3*b*d^2*e*x^4)/4 + (b*d*e^2*x^6)/2) - x^3*(((b*e^3)/(8*c^3) - (b*d*e^2)/(2*c))/(3*c^2) + (b*d^2*e)/(4*c)) - x^2*((((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/c^2 + (3*a*d*e*(e + c^2*d))/c^2)/(2*c^2) - (a*d^2*(3*e + c^2*d))/(2*c^2)) + (a*e^3*x^8)/8 - (b*e^3*x^7)/(56*c) - (b*atan((b*c*x*(e - 2*c^2*d)*(e^2 + 2*c^4*d^2 - 2*c^2*d*e))/(b*e^3 - 4*b*c^6*d^3 - 4*b*c^2*d*e^2 + 6*b*c^4*d^2*e))*(e - 2*c^2*d)*(e^2 + 2*c^4*d^2 - 2*c^2*d*e))/(8*c^8)","B"
1140,1,238,188,0.434451,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2)^3,x)","\frac{a\,e^3\,x^7}{7}+a\,d^3\,x-\frac{b\,d^3\,\ln\left(c^2\,x^2+1\right)}{2\,c}+\frac{b\,e^3\,\ln\left(c^2\,x^2+1\right)}{14\,c^7}-\frac{b\,e^3\,x^6}{42\,c}+\frac{b\,e^3\,x^4}{28\,c^3}-\frac{b\,e^3\,x^2}{14\,c^5}+b\,d^3\,x\,\mathrm{atan}\left(c\,x\right)+a\,d^2\,e\,x^3+\frac{3\,a\,d\,e^2\,x^5}{5}+\frac{b\,e^3\,x^7\,\mathrm{atan}\left(c\,x\right)}{7}+b\,d^2\,e\,x^3\,\mathrm{atan}\left(c\,x\right)+\frac{3\,b\,d\,e^2\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}+\frac{b\,d^2\,e\,\ln\left(c^2\,x^2+1\right)}{2\,c^3}-\frac{3\,b\,d\,e^2\,\ln\left(c^2\,x^2+1\right)}{10\,c^5}-\frac{b\,d^2\,e\,x^2}{2\,c}-\frac{3\,b\,d\,e^2\,x^4}{20\,c}+\frac{3\,b\,d\,e^2\,x^2}{10\,c^3}","Not used",1,"(a*e^3*x^7)/7 + a*d^3*x - (b*d^3*log(c^2*x^2 + 1))/(2*c) + (b*e^3*log(c^2*x^2 + 1))/(14*c^7) - (b*e^3*x^6)/(42*c) + (b*e^3*x^4)/(28*c^3) - (b*e^3*x^2)/(14*c^5) + b*d^3*x*atan(c*x) + a*d^2*e*x^3 + (3*a*d*e^2*x^5)/5 + (b*e^3*x^7*atan(c*x))/7 + b*d^2*e*x^3*atan(c*x) + (3*b*d*e^2*x^5*atan(c*x))/5 + (b*d^2*e*log(c^2*x^2 + 1))/(2*c^3) - (3*b*d*e^2*log(c^2*x^2 + 1))/(10*c^5) - (b*d^2*e*x^2)/(2*c) - (3*b*d*e^2*x^4)/(20*c) + (3*b*d*e^2*x^2)/(10*c^3)","B"
1141,1,232,228,0.782384,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x,x)","\left\{\begin{array}{cl} \frac{a\,e^3\,x^6}{6}+a\,d^3\,\ln\left(x\right)+\frac{3\,a\,d^2\,e\,x^2}{2}+\frac{3\,a\,d\,e^2\,x^4}{4} & \text{\ if\ \ }c=0\\ \frac{a\,e^3\,x^6}{6}+a\,d^3\,\ln\left(x\right)-\frac{b\,e^3\,\left(\frac{x}{c^4}-\frac{\mathrm{atan}\left(c\,x\right)}{c^5}+\frac{x^5}{5}-\frac{x^3}{3\,c^2}\right)}{6\,c}-3\,b\,d^2\,e\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)+\frac{3\,a\,d^2\,e\,x^2}{2}+\frac{3\,a\,d\,e^2\,x^4}{4}-3\,b\,d\,e^2\,\left(\frac{3\,\mathrm{atan}\left(c\,x\right)-3\,c\,x+c^3\,x^3}{12\,c^4}-\frac{x^4\,\mathrm{atan}\left(c\,x\right)}{4}\right)+\frac{b\,e^3\,x^6\,\mathrm{atan}\left(c\,x\right)}{6}-\frac{b\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,d^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (a*e^3*x^6)/6 + a*d^3*log(x) + (3*a*d^2*e*x^2)/2 + (3*a*d*e^2*x^4)/4, c ~= 0, (a*e^3*x^6)/6 + a*d^3*log(x) - (b*d^3*dilog(- c*x*1i + 1)*1i)/2 + (b*d^3*dilog(c*x*1i + 1)*1i)/2 - (b*e^3*(x/c^4 - atan(c*x)/c^5 + x^5/5 - x^3/(3*c^2)))/(6*c) - 3*b*d^2*e*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) + (3*a*d^2*e*x^2)/2 + (3*a*d*e^2*x^4)/4 - 3*b*d*e^2*((3*atan(c*x) - 3*c*x + c^3*x^3)/(12*c^4) - (x^4*atan(c*x))/4) + (b*e^3*x^6*atan(c*x))/6)","B"
1142,1,236,160,0.643471,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^2,x)","x\,\left(\frac{\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}}{c^2}+\frac{3\,a\,d\,e\,\left(d\,c^2+e\right)}{c^2}\right)-x^3\,\left(\frac{a\,e^3}{3\,c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{3\,c^2}\right)+x^2\,\left(\frac{b\,e^3}{10\,c^3}-\frac{b\,d\,e^2}{2\,c}\right)-\frac{a\,d^3}{x}+\frac{a\,e^3\,x^5}{5}-\frac{\ln\left(c^2\,x^2+1\right)\,\left(5\,b\,c^6\,d^3+15\,b\,c^4\,d^2\,e-5\,b\,c^2\,d\,e^2+b\,e^3\right)}{10\,c^5}+\frac{\mathrm{atan}\left(c\,x\right)\,\left(-b\,d^3+3\,b\,d^2\,e\,x^2+b\,d\,e^2\,x^4+\frac{b\,e^3\,x^6}{5}\right)}{x}-\frac{b\,e^3\,x^4}{20\,c}+b\,c\,d^3\,\ln\left(x\right)","Not used",1,"x*(((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2)/c^2 + (3*a*d*e*(e + c^2*d))/c^2) - x^3*((a*e^3)/(3*c^2) - (a*e^2*(e + 3*c^2*d))/(3*c^2)) + x^2*((b*e^3)/(10*c^3) - (b*d*e^2)/(2*c)) - (a*d^3)/x + (a*e^3*x^5)/5 - (log(c^2*x^2 + 1)*(b*e^3 + 5*b*c^6*d^3 - 5*b*c^2*d*e^2 + 15*b*c^4*d^2*e))/(10*c^5) + (atan(c*x)*((b*e^3*x^6)/5 - b*d^3 + 3*b*d^2*e*x^2 + b*d*e^2*x^4))/x - (b*e^3*x^4)/(20*c) + b*c*d^3*log(x)","B"
1143,1,224,200,0.729985,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^3,x)","\left\{\begin{array}{cl} \frac{a\,e^3\,x^4}{4}-\frac{a\,d^3}{2\,x^2}+\frac{3\,a\,d\,e^2\,x^2}{2}+3\,a\,d^2\,e\,\ln\left(x\right) & \text{\ if\ \ }c=0\\ \frac{a\,e^3\,x^4}{4}-\frac{a\,d^3}{2\,x^2}-\frac{b\,d^3\,\left(c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}\right)}{2\,c}-3\,b\,d\,e^2\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)+\frac{3\,a\,d\,e^2\,x^2}{2}+3\,a\,d^2\,e\,\ln\left(x\right)-\frac{b\,e^3\,\left(3\,\mathrm{atan}\left(c\,x\right)-3\,c\,x+c^3\,x^3\right)}{12\,c^4}-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{2\,x^2}+\frac{b\,e^3\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}-\frac{b\,d^2\,e\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}+\frac{b\,d^2\,e\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, - (a*d^3)/(2*x^2) + (a*e^3*x^4)/4 + (3*a*d*e^2*x^2)/2 + 3*a*d^2*e*log(x), c ~= 0, - (a*d^3)/(2*x^2) + (a*e^3*x^4)/4 - (b*d^3*(c^3*atan(c*x) + c^2/x))/(2*c) - 3*b*d*e^2*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) + (3*a*d*e^2*x^2)/2 + 3*a*d^2*e*log(x) - (b*e^3*(3*atan(c*x) - 3*c*x + c^3*x^3))/(12*c^4) - (b*d^2*e*dilog(- c*x*1i + 1)*3i)/2 + (b*d^2*e*dilog(c*x*1i + 1)*3i)/2 - (b*d^3*atan(c*x))/(2*x^2) + (b*e^3*x^4*atan(c*x))/4)","B"
1144,1,203,158,0.638011,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^4,x)","\frac{a\,e^3\,x^3}{3}-\ln\left(x\right)\,\left(\frac{b\,c^3\,d^3}{3}-3\,b\,c\,d^2\,e\right)-\frac{\frac{b\,c^2\,d^3\,x}{2}+a\,c\,d^3+9\,a\,e\,c\,d^2\,x^2}{3\,c\,x^3}-x\,\left(\frac{a\,e^3}{c^2}-\frac{a\,e^2\,\left(3\,d\,c^2+e\right)}{c^2}\right)+\frac{\ln\left(c^2\,x^2+1\right)\,\left(b\,c^6\,d^3-9\,b\,c^4\,d^2\,e-9\,b\,c^2\,d\,e^2+b\,e^3\right)}{6\,c^3}-\frac{\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3}{3}+3\,b\,d^2\,e\,x^2-3\,b\,d\,e^2\,x^4-\frac{b\,e^3\,x^6}{3}\right)}{x^3}-\frac{b\,e^3\,x^2}{6\,c}","Not used",1,"(a*e^3*x^3)/3 - log(x)*((b*c^3*d^3)/3 - 3*b*c*d^2*e) - (a*c*d^3 + (b*c^2*d^3*x)/2 + 9*a*c*d^2*e*x^2)/(3*c*x^3) - x*((a*e^3)/c^2 - (a*e^2*(e + 3*c^2*d))/c^2) + (log(c^2*x^2 + 1)*(b*e^3 + b*c^6*d^3 - 9*b*c^2*d*e^2 - 9*b*c^4*d^2*e))/(6*c^3) - (atan(c*x)*((b*d^3)/3 - (b*e^3*x^6)/3 + 3*b*d^2*e*x^2 - 3*b*d*e^2*x^4))/x^3 - (b*e^3*x^2)/(6*c)","B"
1145,1,234,200,0.709247,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^5,x)","\left\{\begin{array}{cl} -\frac{a\,\left(d^3-2\,e^3\,x^6+6\,d^2\,e\,x^2-12\,d\,e^2\,x^4\,\ln\left(x\right)\right)}{4\,x^4} & \text{\ if\ \ }c=0\\ -b\,e^3\,\left(\frac{x}{2\,c}-\mathrm{atan}\left(c\,x\right)\,\left(\frac{1}{2\,c^2}+\frac{x^2}{2}\right)\right)-\frac{a\,\left(d^3-2\,e^3\,x^6+6\,d^2\,e\,x^2-12\,d\,e^2\,x^4\,\ln\left(x\right)\right)}{4\,x^4}-\frac{b\,d^3\,\left(\frac{\frac{c^2}{3}-c^4\,x^2}{x^3}-c^5\,\mathrm{atan}\left(c\,x\right)\right)}{4\,c}-3\,b\,d^2\,e\,\left(\frac{c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}}{2\,c}+\frac{\mathrm{atan}\left(c\,x\right)}{2\,x^2}\right)-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{4\,x^4}-\frac{b\,d\,e^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}+\frac{b\,d\,e^2\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, -(a*(d^3 - 2*e^3*x^6 + 6*d^2*e*x^2 - 12*d*e^2*x^4*log(x)))/(4*x^4), c ~= 0, - b*e^3*(x/(2*c) - atan(c*x)*(1/(2*c^2) + x^2/2)) - (a*(d^3 - 2*e^3*x^6 + 6*d^2*e*x^2 - 12*d*e^2*x^4*log(x)))/(4*x^4) - (b*d^3*((c^2/3 - c^4*x^2)/x^3 - c^5*atan(c*x)))/(4*c) - 3*b*d^2*e*((c^3*atan(c*x) + c^2/x)/(2*c) + atan(c*x)/(2*x^2)) - (b*d*e^2*dilog(- c*x*1i + 1)*3i)/2 + (b*d*e^2*dilog(c*x*1i + 1)*3i)/2 - (b*d^3*atan(c*x))/(4*x^4))","B"
1146,1,194,177,0.642160,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^6,x)","\ln\left(x\right)\,\left(\frac{b\,c^5\,d^3}{5}-b\,c^3\,d^2\,e+3\,b\,c\,d\,e^2\right)-\frac{a\,d^3-x^3\,\left(\frac{b\,c^3\,d^3}{2}-\frac{5\,b\,c\,d^2\,e}{2}\right)+\frac{b\,c\,d^3\,x}{4}+5\,a\,d^2\,e\,x^2+15\,a\,d\,e^2\,x^4}{5\,x^5}-\frac{\ln\left(c^2\,x^2+1\right)\,\left(b\,c^6\,d^3-5\,b\,c^4\,d^2\,e+15\,b\,c^2\,d\,e^2+5\,b\,e^3\right)}{10\,c}-\frac{\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3}{5}+b\,d^2\,e\,x^2+3\,b\,d\,e^2\,x^4-b\,e^3\,x^6\right)}{x^5}+a\,e^3\,x","Not used",1,"log(x)*((b*c^5*d^3)/5 + 3*b*c*d*e^2 - b*c^3*d^2*e) - (a*d^3 - x^3*((b*c^3*d^3)/2 - (5*b*c*d^2*e)/2) + (b*c*d^3*x)/4 + 5*a*d^2*e*x^2 + 15*a*d*e^2*x^4)/(5*x^5) - (log(c^2*x^2 + 1)*(5*b*e^3 + b*c^6*d^3 + 15*b*c^2*d*e^2 - 5*b*c^4*d^2*e))/(10*c) - (atan(c*x)*((b*d^3)/5 - b*e^3*x^6 + b*d^2*e*x^2 + 3*b*d*e^2*x^4))/x^5 + a*e^3*x","B"
1147,1,261,228,0.842342,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^7,x)","\left\{\begin{array}{cl} a\,e^3\,\ln\left(x\right)-\frac{\frac{a\,d^3}{6}+\frac{3\,a\,d^2\,e\,x^2}{4}+\frac{3\,a\,d\,e^2\,x^4}{2}}{x^6} & \text{\ if\ \ }c=0\\ a\,e^3\,\ln\left(x\right)-\frac{\frac{a\,d^3}{6}+\frac{3\,a\,d^2\,e\,x^2}{4}+\frac{3\,a\,d\,e^2\,x^4}{2}}{x^6}-3\,b\,d^2\,e\,\left(\frac{\mathrm{atan}\left(c\,x\right)}{4\,x^4}+\frac{\frac{\frac{c^2}{3}-c^4\,x^2}{x^3}-c^5\,\mathrm{atan}\left(c\,x\right)}{4\,c}\right)-\frac{b\,d^3\,\left(\frac{c^6\,x^4-\frac{c^4\,x^2}{3}+\frac{c^2}{5}}{x^5}+c^7\,\mathrm{atan}\left(c\,x\right)\right)}{6\,c}-3\,b\,d\,e^2\,\left(\frac{c^3\,\mathrm{atan}\left(c\,x\right)+\frac{c^2}{x}}{2\,c}+\frac{\mathrm{atan}\left(c\,x\right)}{2\,x^2}\right)-\frac{b\,d^3\,\mathrm{atan}\left(c\,x\right)}{6\,x^6}-\frac{b\,e^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{b\,e^3\,{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, - ((a*d^3)/6 + (3*a*d^2*e*x^2)/4 + (3*a*d*e^2*x^4)/2)/x^6 + a*e^3*log(x), c ~= 0, - ((a*d^3)/6 + (3*a*d^2*e*x^2)/4 + (3*a*d*e^2*x^4)/2)/x^6 + a*e^3*log(x) - (b*e^3*dilog(- c*x*1i + 1)*1i)/2 + (b*e^3*dilog(c*x*1i + 1)*1i)/2 - 3*b*d^2*e*(atan(c*x)/(4*x^4) + ((c^2/3 - c^4*x^2)/x^3 - c^5*atan(c*x))/(4*c)) - (b*d^3*((c^2/5 - (c^4*x^2)/3 + c^6*x^4)/x^5 + c^7*atan(c*x)))/(6*c) - 3*b*d*e^2*((c^3*atan(c*x) + c^2/x)/(2*c) + atan(c*x)/(2*x^2)) - (b*d^3*atan(c*x))/(6*x^6))","B"
1148,1,236,224,0.692725,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^8,x)","\ln\left(c^2\,x^2+1\right)\,\left(\frac{b\,c^7\,d^3}{14}-\frac{3\,b\,c^5\,d^2\,e}{10}+\frac{b\,c^3\,d\,e^2}{2}-\frac{b\,c\,e^3}{2}\right)-\ln\left(x\right)\,\left(\frac{b\,c^7\,d^3}{7}-\frac{3\,b\,c^5\,d^2\,e}{5}+b\,c^3\,d\,e^2-b\,c\,e^3\right)-\frac{5\,a\,d^3-x^3\,\left(\frac{5\,b\,c^3\,d^3}{4}-\frac{21\,b\,c\,d^2\,e}{4}\right)+x^5\,\left(\frac{5\,b\,c^5\,d^3}{2}-\frac{21\,b\,c^3\,d^2\,e}{2}+\frac{35\,b\,c\,d\,e^2}{2}\right)+35\,a\,e^3\,x^6+\frac{5\,b\,c\,d^3\,x}{6}+21\,a\,d^2\,e\,x^2+35\,a\,d\,e^2\,x^4}{35\,x^7}-\frac{\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3}{7}+\frac{3\,b\,d^2\,e\,x^2}{5}+b\,d\,e^2\,x^4+b\,e^3\,x^6\right)}{x^7}","Not used",1,"log(c^2*x^2 + 1)*((b*c^7*d^3)/14 - (b*c*e^3)/2 + (b*c^3*d*e^2)/2 - (3*b*c^5*d^2*e)/10) - log(x)*((b*c^7*d^3)/7 - b*c*e^3 + b*c^3*d*e^2 - (3*b*c^5*d^2*e)/5) - (5*a*d^3 - x^3*((5*b*c^3*d^3)/4 - (21*b*c*d^2*e)/4) + x^5*((5*b*c^5*d^3)/2 + (35*b*c*d*e^2)/2 - (21*b*c^3*d^2*e)/2) + 35*a*e^3*x^6 + (5*b*c*d^3*x)/6 + 21*a*d^2*e*x^2 + 35*a*d*e^2*x^4)/(35*x^7) - (atan(c*x)*((b*d^3)/7 + b*e^3*x^6 + (3*b*d^2*e*x^2)/5 + b*d*e^2*x^4))/x^7","B"
1149,1,301,152,0.633059,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^3)/x^9,x)","\frac{b\,c^2\,\mathrm{atan}\left(\frac{b\,c^2\,x\,\left(2\,e-c^2\,d\right)\,\left(c^4\,d^2-2\,c^2\,d\,e+2\,e^2\right)}{b\,c^7\,d^3-4\,b\,c^5\,d^2\,e+6\,b\,c^3\,d\,e^2-4\,b\,c\,e^3}\right)\,\left(2\,e-c^2\,d\right)\,\left(c^4\,d^2-2\,c^2\,d\,e+2\,e^2\right)}{8}-\frac{\mathrm{atan}\left(c\,x\right)\,\left(\frac{b\,d^3}{8}+\frac{b\,d^2\,e\,x^2}{2}+\frac{3\,b\,d\,e^2\,x^4}{4}+\frac{b\,e^3\,x^6}{2}\right)}{x^8}-\frac{a\,d^3-x^3\,\left(\frac{b\,c^3\,d^3}{5}-\frac{4\,b\,c\,d^2\,e}{5}\right)-x^7\,\left(b\,c^7\,d^3-4\,b\,c^5\,d^2\,e+6\,b\,c^3\,d\,e^2-4\,b\,c\,e^3\right)+x^5\,\left(\frac{b\,c^5\,d^3}{3}-\frac{4\,b\,c^3\,d^2\,e}{3}+2\,b\,c\,d\,e^2\right)+4\,a\,e^3\,x^6+\frac{b\,c\,d^3\,x}{7}+4\,a\,d^2\,e\,x^2+6\,a\,d\,e^2\,x^4}{8\,x^8}","Not used",1,"(b*c^2*atan((b*c^2*x*(2*e - c^2*d)*(2*e^2 + c^4*d^2 - 2*c^2*d*e))/(b*c^7*d^3 - 4*b*c*e^3 + 6*b*c^3*d*e^2 - 4*b*c^5*d^2*e))*(2*e - c^2*d)*(2*e^2 + c^4*d^2 - 2*c^2*d*e))/8 - (atan(c*x)*((b*d^3)/8 + (b*e^3*x^6)/2 + (b*d^2*e*x^2)/2 + (3*b*d*e^2*x^4)/4))/x^8 - (a*d^3 - x^3*((b*c^3*d^3)/5 - (4*b*c*d^2*e)/5) - x^7*(b*c^7*d^3 - 4*b*c*e^3 + 6*b*c^3*d*e^2 - 4*b*c^5*d^2*e) + x^5*((b*c^5*d^3)/3 + 2*b*c*d*e^2 - (4*b*c^3*d^2*e)/3) + 4*a*e^3*x^6 + (b*c*d^3*x)/7 + 4*a*d^2*e*x^2 + 6*a*d*e^2*x^4)/(8*x^8)","B"
1150,1,233,244,0.204572,"\text{Not used}","int(atan(a*x)*(c + d*x^2)^4,x)","\mathrm{atan}\left(a\,x\right)\,\left(c^4\,x+\frac{4\,c^3\,d\,x^3}{3}+\frac{6\,c^2\,d^2\,x^5}{5}+\frac{4\,c\,d^3\,x^7}{7}+\frac{d^4\,x^9}{9}\right)+x^2\,\left(\frac{\frac{\frac{d^4}{9\,a^3}-\frac{4\,c\,d^3}{7\,a}}{a^2}+\frac{6\,c^2\,d^2}{5\,a}}{2\,a^2}-\frac{2\,c^3\,d}{3\,a}\right)+x^6\,\left(\frac{d^4}{54\,a^3}-\frac{2\,c\,d^3}{21\,a}\right)-x^4\,\left(\frac{\frac{d^4}{9\,a^3}-\frac{4\,c\,d^3}{7\,a}}{4\,a^2}+\frac{3\,c^2\,d^2}{10\,a}\right)-\frac{\ln\left(a^2\,x^2+1\right)\,\left(315\,a^8\,c^4-420\,a^6\,c^3\,d+378\,a^4\,c^2\,d^2-180\,a^2\,c\,d^3+35\,d^4\right)}{630\,a^9}-\frac{d^4\,x^8}{72\,a}","Not used",1,"atan(a*x)*(c^4*x + (d^4*x^9)/9 + (4*c^3*d*x^3)/3 + (4*c*d^3*x^7)/7 + (6*c^2*d^2*x^5)/5) + x^2*(((d^4/(9*a^3) - (4*c*d^3)/(7*a))/a^2 + (6*c^2*d^2)/(5*a))/(2*a^2) - (2*c^3*d)/(3*a)) + x^6*(d^4/(54*a^3) - (2*c*d^3)/(21*a)) - x^4*((d^4/(9*a^3) - (4*c*d^3)/(7*a))/(4*a^2) + (3*c^2*d^2)/(10*a)) - (log(a^2*x^2 + 1)*(35*d^4 + 315*a^8*c^4 - 180*a^2*c*d^3 - 420*a^6*c^3*d + 378*a^4*c^2*d^2))/(630*a^9) - (d^4*x^8)/(72*a)","B"
1151,0,-1,361,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{e\,x^2+d} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x^2), x)","F"
1152,0,-1,311,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{e\,x^2+d} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + e*x^2), x)","F"
1153,0,-1,353,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + e*x^2)), x)","F"
1154,0,-1,409,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)), x)","F"
1155,0,-1,555,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{e\,x^2+d} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2), x)","F"
1156,0,-1,517,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{e\,x^2+d} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x^2), x)","F"
1157,0,-1,561,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)), x)","F"
1158,0,-1,403,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^2,x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^2, x)","F"
1159,1,696,91,0.847983,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2)^2,x)","\frac{b\,c\,\ln\left(e\,x+\sqrt{-d\,e}\right)\,\sqrt{-d\,e}}{4\,d\,e^2-4\,c^2\,d^2\,e}-\frac{2\,b\,c^2\,\mathrm{atan}\left(-\frac{\frac{c^2\,\left(c^8\,e\,x+\frac{c^2\,\left(2\,c^5\,e^3-4\,c^7\,d\,e^2+2\,c^9\,d^2\,e+\frac{c^2\,x\,\left(8\,c^{10}\,d^3\,e^2-8\,c^8\,d^2\,e^3-8\,c^6\,d\,e^4+8\,c^4\,e^5\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)}{4\,e^2-4\,c^2\,d\,e}-\frac{c^2\,\left(-c^8\,e\,x+\frac{c^2\,\left(2\,c^5\,e^3-4\,c^7\,d\,e^2+2\,c^9\,d^2\,e-\frac{c^2\,x\,\left(8\,c^{10}\,d^3\,e^2-8\,c^8\,d^2\,e^3-8\,c^6\,d\,e^4+8\,c^4\,e^5\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)}{4\,e^2-4\,c^2\,d\,e}}{\frac{c^2\,\left(c^8\,e\,x+\frac{c^2\,\left(2\,c^5\,e^3-4\,c^7\,d\,e^2+2\,c^9\,d^2\,e+\frac{c^2\,x\,\left(8\,c^{10}\,d^3\,e^2-8\,c^8\,d^2\,e^3-8\,c^6\,d\,e^4+8\,c^4\,e^5\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}+\frac{c^2\,\left(-c^8\,e\,x+\frac{c^2\,\left(2\,c^5\,e^3-4\,c^7\,d\,e^2+2\,c^9\,d^2\,e-\frac{c^2\,x\,\left(8\,c^{10}\,d^3\,e^2-8\,c^8\,d^2\,e^3-8\,c^6\,d\,e^4+8\,c^4\,e^5\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}\right)\,1{}\mathrm{i}}{4\,e^2-4\,c^2\,d\,e}}\right)}{4\,e^2-4\,c^2\,d\,e}-\frac{b\,\mathrm{atan}\left(c\,x\right)}{2\,e\,\left(e\,x^2+d\right)}-\frac{b\,c\,\ln\left(e\,x-\sqrt{-d\,e}\right)\,\sqrt{-d\,e}}{4\,\left(d\,e^2-c^2\,d^2\,e\right)}-\frac{a}{2\,e^2\,x^2+2\,d\,e}","Not used",1,"(b*c*log(e*x + (-d*e)^(1/2))*(-d*e)^(1/2))/(4*d*e^2 - 4*c^2*d^2*e) - (2*b*c^2*atan(-((c^2*((c^2*(2*c^5*e^3 - 4*c^7*d*e^2 + 2*c^9*d^2*e + (c^2*x*(8*c^4*e^5 - 8*c^6*d*e^4 - 8*c^8*d^2*e^3 + 8*c^10*d^3*e^2)*1i)/(4*e^2 - 4*c^2*d*e))*1i)/(4*e^2 - 4*c^2*d*e) + c^8*e*x))/(4*e^2 - 4*c^2*d*e) - (c^2*((c^2*(2*c^5*e^3 - 4*c^7*d*e^2 + 2*c^9*d^2*e - (c^2*x*(8*c^4*e^5 - 8*c^6*d*e^4 - 8*c^8*d^2*e^3 + 8*c^10*d^3*e^2)*1i)/(4*e^2 - 4*c^2*d*e))*1i)/(4*e^2 - 4*c^2*d*e) - c^8*e*x))/(4*e^2 - 4*c^2*d*e))/((c^2*((c^2*(2*c^5*e^3 - 4*c^7*d*e^2 + 2*c^9*d^2*e + (c^2*x*(8*c^4*e^5 - 8*c^6*d*e^4 - 8*c^8*d^2*e^3 + 8*c^10*d^3*e^2)*1i)/(4*e^2 - 4*c^2*d*e))*1i)/(4*e^2 - 4*c^2*d*e) + c^8*e*x)*1i)/(4*e^2 - 4*c^2*d*e) + (c^2*((c^2*(2*c^5*e^3 - 4*c^7*d*e^2 + 2*c^9*d^2*e - (c^2*x*(8*c^4*e^5 - 8*c^6*d*e^4 - 8*c^8*d^2*e^3 + 8*c^10*d^3*e^2)*1i)/(4*e^2 - 4*c^2*d*e))*1i)/(4*e^2 - 4*c^2*d*e) - c^8*e*x)*1i)/(4*e^2 - 4*c^2*d*e))))/(4*e^2 - 4*c^2*d*e) - (b*atan(c*x))/(2*e*(d + e*x^2)) - (b*c*log(e*x - (-d*e)^(1/2))*(-d*e)^(1/2))/(4*(d*e^2 - c^2*d^2*e)) - a/(2*d*e + 2*e^2*x^2)","B"
1160,0,-1,443,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + e*x^2)^2), x)","F"
1161,0,-1,489,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)^2), x)","F"
1162,0,-1,1335,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^2,x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^2, x)","F"
1163,0,-1,819,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2)^2,x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x^2)^2, x)","F"
1164,0,-1,1382,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)^2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)^2), x)","F"
1165,0,-1,532,0.000000,"\text{Not used}","int((x^5*(a + b*atan(c*x)))/(d + e*x^2)^3,x)","\int \frac{x^5\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((x^5*(a + b*atan(c*x)))/(d + e*x^2)^3, x)","F"
1166,1,273,130,3.299197,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^3,x)","\frac{b\,c^4\,d\,\mathrm{atan}\left(c\,x\right)}{4\,e^2\,{\left(e-c^2\,d\right)}^2}-\frac{a\,d}{4\,e^2\,{\left(e\,x^2+d\right)}^2}-\frac{b\,d\,\mathrm{atan}\left(c\,x\right)}{4\,e^2\,{\left(e\,x^2+d\right)}^2}-\frac{b\,c\,x^3}{8\,\left(e-c^2\,d\right)\,{\left(e\,x^2+d\right)}^2}-\frac{b\,c^2\,\mathrm{atan}\left(c\,x\right)}{2\,e\,{\left(e-c^2\,d\right)}^2}-\frac{b\,x^2\,\mathrm{atan}\left(c\,x\right)}{2\,e\,{\left(e\,x^2+d\right)}^2}-\frac{b\,c^3\,\mathrm{atan}\left(\frac{x\,\sqrt{-d\,e^3}\,1{}\mathrm{i}}{d\,e}\right)\,\sqrt{-d\,e^3}\,1{}\mathrm{i}}{8\,e^3\,{\left(e-c^2\,d\right)}^2}-\frac{a\,x^2}{2\,e\,{\left(e\,x^2+d\right)}^2}-\frac{b\,c\,d\,x}{8\,e\,\left(e-c^2\,d\right)\,{\left(e\,x^2+d\right)}^2}+\frac{b\,c\,\mathrm{atan}\left(\frac{x\,\sqrt{-d\,e^3}\,1{}\mathrm{i}}{d\,e}\right)\,\sqrt{-d\,e^3}\,3{}\mathrm{i}}{8\,d\,e^2\,{\left(e-c^2\,d\right)}^2}","Not used",1,"(b*c^4*d*atan(c*x))/(4*e^2*(e - c^2*d)^2) - (a*d)/(4*e^2*(d + e*x^2)^2) - (b*d*atan(c*x))/(4*e^2*(d + e*x^2)^2) - (b*c*x^3)/(8*(e - c^2*d)*(d + e*x^2)^2) - (b*c^2*atan(c*x))/(2*e*(e - c^2*d)^2) - (b*x^2*atan(c*x))/(2*e*(d + e*x^2)^2) - (b*c^3*atan((x*(-d*e^3)^(1/2)*1i)/(d*e))*(-d*e^3)^(1/2)*1i)/(8*e^3*(e - c^2*d)^2) - (a*x^2)/(2*e*(d + e*x^2)^2) - (b*c*d*x)/(8*e*(e - c^2*d)*(d + e*x^2)^2) + (b*c*atan((x*(-d*e^3)^(1/2)*1i)/(d*e))*(-d*e^3)^(1/2)*3i)/(8*d*e^2*(e - c^2*d)^2)","B"
1167,1,201,131,2.609652,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2)^3,x)","\frac{b\,c\,x}{8\,\left(e-c^2\,d\right)\,{\left(e\,x^2+d\right)}^2}-\frac{b\,\mathrm{atan}\left(c\,x\right)}{4\,e\,{\left(e\,x^2+d\right)}^2}-\frac{a}{4\,e\,{\left(e\,x^2+d\right)}^2}+\frac{b\,c^4\,\mathrm{atan}\left(c\,x\right)}{4\,e\,{\left(e-c^2\,d\right)}^2}+\frac{b\,c\,e\,x^3}{8\,d\,\left(e-c^2\,d\right)\,{\left(e\,x^2+d\right)}^2}+\frac{b\,c\,\mathrm{atan}\left(\frac{x\,\sqrt{-d^3\,e}\,1{}\mathrm{i}}{d^2}\right)\,\sqrt{-d^3\,e}\,1{}\mathrm{i}}{8\,d^3\,{\left(e-c^2\,d\right)}^2}-\frac{b\,c^3\,\mathrm{atan}\left(\frac{x\,\sqrt{-d^3\,e}\,1{}\mathrm{i}}{d^2}\right)\,\sqrt{-d^3\,e}\,3{}\mathrm{i}}{8\,d^2\,e\,{\left(e-c^2\,d\right)}^2}","Not used",1,"(b*c*x)/(8*(e - c^2*d)*(d + e*x^2)^2) - (b*atan(c*x))/(4*e*(d + e*x^2)^2) - a/(4*e*(d + e*x^2)^2) + (b*c^4*atan(c*x))/(4*e*(e - c^2*d)^2) + (b*c*atan((x*(-d^3*e)^(1/2)*1i)/d^2)*(-d^3*e)^(1/2)*1i)/(8*d^3*(e - c^2*d)^2) - (b*c^3*atan((x*(-d^3*e)^(1/2)*1i)/d^2)*(-d^3*e)^(1/2)*3i)/(8*d^2*e*(e - c^2*d)^2) + (b*c*e*x^3)/(8*d*(e - c^2*d)*(d + e*x^2)^2)","B"
1168,0,-1,574,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x*(d + e*x^2)^3), x)","F"
1169,0,-1,629,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)^3), x)","F"
1170,0,-1,966,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^3,x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^3, x)","F"
1171,0,-1,893,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2)^3,x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x^2)^3, x)","F"
1172,0,-1,1518,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)^3),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)^3), x)","F"
1173,0,-1,223,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(1/2),x)","\int x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d} \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(1/2), x)","F"
1174,0,-1,97,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(1/2),x)","\int x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d} \,d x","Not used",0,"int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(1/2), x)","F"
1175,0,-1,140,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2)^(1/2),x)","\int x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d} \,d x","Not used",1,"int(x*(a + b*atan(c*x))*(d + e*x^2)^(1/2), x)","F"
1176,0,-1,23,0.000000,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2)^(1/2),x)","\int \left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d} \,d x","Not used",0,"int((a + b*atan(c*x))*(d + e*x^2)^(1/2), x)","F"
1177,0,-1,64,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x, x)","F"
1178,0,-1,68,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^2,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x^2} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^2, x)","F"
1179,0,-1,73,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^3,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x^3} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^3, x)","F"
1180,0,-1,137,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^4,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x^4} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^4, x)","F"
1181,0,-1,98,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^5,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x^5} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^5, x)","F"
1182,0,-1,224,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^6,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d}}{x^6} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^(1/2))/x^6, x)","F"
1183,0,-1,279,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(3/2),x)","\int x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2} \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(3/2), x)","F"
1184,0,-1,119,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(3/2),x)","\int x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2} \,d x","Not used",0,"int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(3/2), x)","F"
1185,0,-1,181,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2)^(3/2),x)","\int x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2} \,d x","Not used",1,"int(x*(a + b*atan(c*x))*(d + e*x^2)^(3/2), x)","F"
1186,0,-1,23,0.000000,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2)^(3/2),x)","\int \left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2} \,d x","Not used",0,"int((a + b*atan(c*x))*(d + e*x^2)^(3/2), x)","F"
1187,0,-1,81,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x, x)","F"
1188,0,-1,90,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^2,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x^2} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^2, x)","F"
1189,0,-1,90,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^3,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x^3} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^3, x)","F"
1190,0,-1,88,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^4,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x^4} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^4, x)","F"
1191,0,-1,95,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^5,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x^5} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^5, x)","F"
1192,0,-1,178,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^6,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^(3/2))/x^6, x)","F"
1193,0,-1,345,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(5/2),x)","\int x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2} \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))*(d + e*x^2)^(5/2), x)","F"
1194,0,-1,141,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(5/2),x)","\int x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2} \,d x","Not used",0,"int(x^2*(a + b*atan(c*x))*(d + e*x^2)^(5/2), x)","F"
1195,0,-1,233,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*x^2)^(5/2),x)","\int x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2} \,d x","Not used",1,"int(x*(a + b*atan(c*x))*(d + e*x^2)^(5/2), x)","F"
1196,0,-1,23,0.000000,"\text{Not used}","int((a + b*atan(c*x))*(d + e*x^2)^(5/2),x)","\int \left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2} \,d x","Not used",0,"int((a + b*atan(c*x))*(d + e*x^2)^(5/2), x)","F"
1197,0,-1,100,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2}}{x} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x, x)","F"
1198,0,-1,111,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^2,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2}}{x^2} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^2, x)","F"
1199,0,-1,108,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^3,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2}}{x^3} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^3, x)","F"
1200,0,-1,114,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^4,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2}}{x^4} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^(5/2))/x^4, x)","F"
1201,0,-1,176,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(1/2),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{\sqrt{e\,x^2+d}} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(1/2), x)","F"
1202,0,-1,75,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(1/2),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{\sqrt{e\,x^2+d}} \,d x","Not used",0,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(1/2), x)","F"
1203,0,-1,103,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2)^(1/2),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{\sqrt{e\,x^2+d}} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + e*x^2)^(1/2), x)","F"
1204,0,-1,23,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2)^(1/2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{\sqrt{e\,x^2+d}} \,d x","Not used",0,"int((a + b*atan(c*x))/(d + e*x^2)^(1/2), x)","F"
1205,0,-1,51,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,\sqrt{e\,x^2+d}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x*(d + e*x^2)^(1/2)), x)","F"
1206,0,-1,100,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,\sqrt{e\,x^2+d}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(1/2)), x)","F"
1207,0,-1,76,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,\sqrt{e\,x^2+d}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(1/2)), x)","F"
1208,0,-1,179,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(1/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^4\,\sqrt{e\,x^2+d}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(1/2)), x)","F"
1209,0,-1,137,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(3/2),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(3/2), x)","F"
1210,0,-1,69,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(3/2),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",0,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(3/2), x)","F"
1211,0,-1,71,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2)^(3/2),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + e*x^2)^(3/2), x)","F"
1212,0,-1,70,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2)^(3/2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x^2)^(3/2), x)","F"
1213,0,-1,67,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)^(3/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x*(d + e*x^2)^(3/2)), x)","F"
1214,0,-1,135,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(3/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(3/2)), x)","F"
1215,0,-1,96,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(3/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(3/2)), x)","F"
1216,0,-1,249,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(3/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^4\,{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(3/2)), x)","F"
1217,0,-1,91,0.000000,"\text{Not used}","int((x^4*(a + b*atan(c*x)))/(d + e*x^2)^(5/2),x)","\int \frac{x^4\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",0,"int((x^4*(a + b*atan(c*x)))/(d + e*x^2)^(5/2), x)","F"
1218,0,-1,143,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(5/2),x)","\int \frac{x^3\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x)))/(d + e*x^2)^(5/2), x)","F"
1219,0,-1,109,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(5/2),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x)))/(d + e*x^2)^(5/2), x)","F"
1220,0,-1,110,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x)))/(d + e*x^2)^(5/2),x)","\int \frac{x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((x*(a + b*atan(c*x)))/(d + e*x^2)^(5/2), x)","F"
1221,0,-1,144,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(d + e*x^2)^(5/2),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(d + e*x^2)^(5/2), x)","F"
1222,0,-1,86,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x*(d + e*x^2)^(5/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x\,{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x*(d + e*x^2)^(5/2)), x)","F"
1223,0,-1,274,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(5/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^2\,{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^2*(d + e*x^2)^(5/2)), x)","F"
1224,0,-1,116,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(5/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^3\,{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",0,"int((a + b*atan(c*x))/(x^3*(d + e*x^2)^(5/2)), x)","F"
1225,0,-1,423,0.000000,"\text{Not used}","int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(5/2)),x)","\int \frac{a+b\,\mathrm{atan}\left(c\,x\right)}{x^4\,{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",1,"int((a + b*atan(c*x))/(x^4*(d + e*x^2)^(5/2)), x)","F"
1226,0,-1,208,0.000000,"\text{Not used}","int(atan(a*x)/(c + d*x^2)^(7/2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int(atan(a*x)/(c + d*x^2)^(7/2), x)","F"
1227,0,-1,293,0.000000,"\text{Not used}","int(atan(a*x)/(c + d*x^2)^(9/2),x)","\int \frac{\mathrm{atan}\left(a\,x\right)}{{\left(d\,x^2+c\right)}^{9/2}} \,d x","Not used",1,"int(atan(a*x)/(c + d*x^2)^(9/2), x)","F"
1228,0,-1,378,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^3,x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^3 \,d x","Not used",1,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^3, x)","F"
1229,0,-1,230,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^2,x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^2 \,d x","Not used",1,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^2, x)","F"
1230,0,-1,122,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2),x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(e\,x^2+d\right) \,d x","Not used",1,"int(x^m*(a + b*atan(c*x))*(d + e*x^2), x)","F"
1231,0,-1,63,0.000000,"\text{Not used}","int((x^m*(a + b*atan(c*x)))/(d + e*x^2),x)","\int \frac{x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{e\,x^2+d} \,d x","Not used",0,"int((x^m*(a + b*atan(c*x)))/(d + e*x^2), x)","F"
1232,0,-1,63,0.000000,"\text{Not used}","int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^2,x)","\int \frac{x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",0,"int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^2, x)","F"
1233,0,-1,76,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(5/2),x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{5/2} \,d x","Not used",0,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(5/2), x)","F"
1234,0,-1,76,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(3/2),x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^{3/2} \,d x","Not used",0,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(3/2), x)","F"
1235,0,-1,76,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(1/2),x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\sqrt{e\,x^2+d} \,d x","Not used",0,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^(1/2), x)","F"
1236,0,-1,76,0.000000,"\text{Not used}","int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(1/2),x)","\int \frac{x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{\sqrt{e\,x^2+d}} \,d x","Not used",0,"int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(1/2), x)","F"
1237,0,-1,74,0.000000,"\text{Not used}","int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(3/2),x)","\int \frac{x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{3/2}} \,d x","Not used",0,"int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(3/2), x)","F"
1238,0,-1,76,0.000000,"\text{Not used}","int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(5/2),x)","\int \frac{x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}{{\left(e\,x^2+d\right)}^{5/2}} \,d x","Not used",0,"int((x^m*(a + b*atan(c*x)))/(d + e*x^2)^(5/2), x)","F"
1239,0,-1,77,0.000000,"\text{Not used}","int(x^m*(a + b*atan(c*x))*(d + e*x^2)^p,x)","\int x^m\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p \,d x","Not used",0,"int(x^m*(a + b*atan(c*x))*(d + e*x^2)^p, x)","F"
1240,0,-1,81,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 2),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+2}} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 2), x)","F"
1241,0,-1,129,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 3),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+3}} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 3), x)","F"
1242,0,-1,81,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 4),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+4}} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 4), x)","F"
1243,0,-1,285,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 5),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+5}} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 5), x)","F"
1244,0,-1,81,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 6),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+6}} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 6), x)","F"
1245,0,-1,466,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 7),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+7}} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 7), x)","F"
1246,0,-1,81,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 8),x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(e\,x^2+d\right)}^p}{x^{2\,p+8}} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*x^2)^p)/x^(2*p + 8), x)","F"
1247,1,338,271,1.556261,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2*(d + e*x^2),x)","\frac{46\,b^2\,e\,\ln\left(c^2\,x^2+1\right)+30\,b^2\,e\,{\mathrm{atan}\left(c\,x\right)}^2-60\,b^2\,c^2\,d\,\ln\left(c^2\,x^2+1\right)+45\,a^2\,c^6\,d\,x^4+15\,b^2\,c^4\,d\,x^2+30\,a^2\,c^6\,e\,x^6-16\,b^2\,c^2\,e\,x^2+3\,b^2\,c^4\,e\,x^4+60\,a\,b\,e\,\mathrm{atan}\left(c\,x\right)-45\,b^2\,c^2\,d\,{\mathrm{atan}\left(c\,x\right)}^2+45\,b^2\,c^6\,d\,x^4\,{\mathrm{atan}\left(c\,x\right)}^2+30\,b^2\,c^6\,e\,x^6\,{\mathrm{atan}\left(c\,x\right)}^2-30\,a\,b\,c^5\,d\,x^3+20\,a\,b\,c^3\,e\,x^3-12\,a\,b\,c^5\,e\,x^5+90\,b^2\,c^3\,d\,x\,\mathrm{atan}\left(c\,x\right)-60\,a\,b\,c\,e\,x-30\,b^2\,c^5\,d\,x^3\,\mathrm{atan}\left(c\,x\right)+20\,b^2\,c^3\,e\,x^3\,\mathrm{atan}\left(c\,x\right)-12\,b^2\,c^5\,e\,x^5\,\mathrm{atan}\left(c\,x\right)+90\,a\,b\,c^3\,d\,x-90\,a\,b\,c^2\,d\,\mathrm{atan}\left(c\,x\right)-60\,b^2\,c\,e\,x\,\mathrm{atan}\left(c\,x\right)+90\,a\,b\,c^6\,d\,x^4\,\mathrm{atan}\left(c\,x\right)+60\,a\,b\,c^6\,e\,x^6\,\mathrm{atan}\left(c\,x\right)}{180\,c^6}","Not used",1,"(46*b^2*e*log(c^2*x^2 + 1) + 30*b^2*e*atan(c*x)^2 - 60*b^2*c^2*d*log(c^2*x^2 + 1) + 45*a^2*c^6*d*x^4 + 15*b^2*c^4*d*x^2 + 30*a^2*c^6*e*x^6 - 16*b^2*c^2*e*x^2 + 3*b^2*c^4*e*x^4 + 60*a*b*e*atan(c*x) - 45*b^2*c^2*d*atan(c*x)^2 + 45*b^2*c^6*d*x^4*atan(c*x)^2 + 30*b^2*c^6*e*x^6*atan(c*x)^2 - 30*a*b*c^5*d*x^3 + 20*a*b*c^3*e*x^3 - 12*a*b*c^5*e*x^5 + 90*b^2*c^3*d*x*atan(c*x) - 60*a*b*c*e*x - 30*b^2*c^5*d*x^3*atan(c*x) + 20*b^2*c^3*e*x^3*atan(c*x) - 12*b^2*c^5*e*x^5*atan(c*x) + 90*a*b*c^3*d*x - 90*a*b*c^2*d*atan(c*x) - 60*b^2*c*e*x*atan(c*x) + 90*a*b*c^6*d*x^4*atan(c*x) + 60*a*b*c^6*e*x^6*atan(c*x))/(180*c^6)","B"
1248,0,-1,323,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2*(d + e*x^2),x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(e\,x^2+d\right) \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2*(d + e*x^2), x)","F"
1249,1,248,199,1.003101,"\text{Not used}","int(x*(a + b*atan(c*x))^2*(d + e*x^2),x)","\frac{a^2\,d\,x^2}{2}+\frac{a^2\,e\,x^4}{4}+\frac{b^2\,d\,\ln\left(c^2\,x^2+1\right)}{2\,c^2}-\frac{b^2\,e\,\ln\left(c^2\,x^2+1\right)}{3\,c^4}+\frac{b^2\,e\,x^2}{12\,c^2}+\frac{b^2\,d\,{\mathrm{atan}\left(c\,x\right)}^2}{2\,c^2}-\frac{b^2\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{4\,c^4}+\frac{b^2\,d\,x^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2}+\frac{b^2\,e\,x^4\,{\mathrm{atan}\left(c\,x\right)}^2}{4}-\frac{a\,b\,e\,x^3}{6\,c}-\frac{b^2\,d\,x\,\mathrm{atan}\left(c\,x\right)}{c}+\frac{b^2\,e\,x\,\mathrm{atan}\left(c\,x\right)}{2\,c^3}-\frac{b^2\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{6\,c}-\frac{a\,b\,d\,x}{c}+\frac{a\,b\,e\,x}{2\,c^3}+\frac{a\,b\,d\,\mathrm{atan}\left(c\,x\right)}{c^2}-\frac{a\,b\,e\,\mathrm{atan}\left(c\,x\right)}{2\,c^4}+a\,b\,d\,x^2\,\mathrm{atan}\left(c\,x\right)+\frac{a\,b\,e\,x^4\,\mathrm{atan}\left(c\,x\right)}{2}","Not used",1,"(a^2*d*x^2)/2 + (a^2*e*x^4)/4 + (b^2*d*log(c^2*x^2 + 1))/(2*c^2) - (b^2*e*log(c^2*x^2 + 1))/(3*c^4) + (b^2*e*x^2)/(12*c^2) + (b^2*d*atan(c*x)^2)/(2*c^2) - (b^2*e*atan(c*x)^2)/(4*c^4) + (b^2*d*x^2*atan(c*x)^2)/2 + (b^2*e*x^4*atan(c*x)^2)/4 - (a*b*e*x^3)/(6*c) - (b^2*d*x*atan(c*x))/c + (b^2*e*x*atan(c*x))/(2*c^3) - (b^2*e*x^3*atan(c*x))/(6*c) - (a*b*d*x)/c + (a*b*e*x)/(2*c^3) + (a*b*d*atan(c*x))/c^2 - (a*b*e*atan(c*x))/(2*c^4) + a*b*d*x^2*atan(c*x) + (a*b*e*x^4*atan(c*x))/2","B"
1250,0,-1,231,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d + e*x^2),x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(e\,x^2+d\right) \,d x","Not used",1,"int((a + b*atan(c*x))^2*(d + e*x^2), x)","F"
1251,0,-1,217,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2))/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(e\,x^2+d\right)}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2))/x, x)","F"
1252,0,-1,172,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2))/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(e\,x^2+d\right)}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2))/x^2, x)","F"
1253,0,-1,220,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2))/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,\left(e\,x^2+d\right)}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2))/x^3, x)","F"
1254,1,929,502,6.904414,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2*(d + e*x^2)^2,x)","\frac{a^2\,d^2\,x^4}{4}+\frac{a^2\,e^2\,x^8}{8}-\frac{b^2\,d^2\,\ln\left(c^2\,x^2+1\right)}{3\,c^4}-\frac{22\,b^2\,e^2\,\ln\left(c^2\,x^2+1\right)}{105\,c^8}+\frac{b^2\,d^2\,x^2}{12\,c^2}+\frac{b^2\,e^2\,x^6}{168\,c^2}-\frac{3\,b^2\,e^2\,x^4}{140\,c^4}+\frac{71\,b^2\,e^2\,x^2}{840\,c^6}-\frac{b^2\,d^2\,{\mathrm{atan}\left(c\,x\right)}^2}{4\,c^4}-\frac{b^2\,e^2\,{\mathrm{atan}\left(c\,x\right)}^2}{8\,c^8}+\frac{b^2\,d^2\,x^4\,{\mathrm{atan}\left(c\,x\right)}^2}{4}+\frac{b^2\,e^2\,x^8\,{\mathrm{atan}\left(c\,x\right)}^2}{8}+\frac{a^2\,d\,e\,x^6}{3}-\frac{b^2\,d^2\,x^3\,\mathrm{atan}\left(c\,x\right)}{6\,c}-\frac{b^2\,e^2\,x^7\,\mathrm{atan}\left(c\,x\right)}{28\,c}+\frac{b^2\,e^2\,x^5\,\mathrm{atan}\left(c\,x\right)}{20\,c^3}-\frac{b^2\,e^2\,x^3\,\mathrm{atan}\left(c\,x\right)}{12\,c^5}+\frac{a\,b\,d^2\,x}{2\,c^3}+\frac{a\,b\,e^2\,x}{4\,c^7}+\frac{a\,b\,d^2\,x^4\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{a\,b\,e^2\,x^8\,\mathrm{atan}\left(c\,x\right)}{4}+\frac{23\,b^2\,d\,e\,\ln\left(c^2\,x^2+1\right)}{45\,c^6}-\frac{a\,b\,d^2\,x^3}{6\,c}-\frac{a\,b\,e^2\,x^7}{28\,c}+\frac{a\,b\,e^2\,x^5}{20\,c^3}-\frac{a\,b\,e^2\,x^3}{12\,c^5}+\frac{b^2\,d\,e\,x^4}{30\,c^2}-\frac{8\,b^2\,d\,e\,x^2}{45\,c^4}+\frac{b^2\,d\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{3\,c^6}+\frac{b^2\,d^2\,x\,\mathrm{atan}\left(c\,x\right)}{2\,c^3}+\frac{b^2\,e^2\,x\,\mathrm{atan}\left(c\,x\right)}{4\,c^7}+\frac{b^2\,d\,e\,x^6\,{\mathrm{atan}\left(c\,x\right)}^2}{3}-\frac{a\,b\,d^2\,\mathrm{atan}\left(\frac{3\,b\,c\,e^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}+\frac{6\,b\,c^5\,d^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}-\frac{8\,b\,c^3\,d\,e\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}\right)}{2\,c^4}-\frac{a\,b\,e^2\,\mathrm{atan}\left(\frac{3\,b\,c\,e^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}+\frac{6\,b\,c^5\,d^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}-\frac{8\,b\,c^3\,d\,e\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}\right)}{4\,c^8}-\frac{2\,b^2\,d\,e\,x^5\,\mathrm{atan}\left(c\,x\right)}{15\,c}+\frac{2\,b^2\,d\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{9\,c^3}-\frac{2\,a\,b\,d\,e\,x}{3\,c^5}+\frac{2\,a\,b\,d\,e\,x^6\,\mathrm{atan}\left(c\,x\right)}{3}-\frac{2\,a\,b\,d\,e\,x^5}{15\,c}+\frac{2\,a\,b\,d\,e\,x^3}{9\,c^3}-\frac{2\,b^2\,d\,e\,x\,\mathrm{atan}\left(c\,x\right)}{3\,c^5}+\frac{2\,a\,b\,d\,e\,\mathrm{atan}\left(\frac{3\,b\,c\,e^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}+\frac{6\,b\,c^5\,d^2\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}-\frac{8\,b\,c^3\,d\,e\,x}{6\,b\,c^4\,d^2-8\,b\,c^2\,d\,e+3\,b\,e^2}\right)}{3\,c^6}","Not used",1,"(a^2*d^2*x^4)/4 + (a^2*e^2*x^8)/8 - (b^2*d^2*log(c^2*x^2 + 1))/(3*c^4) - (22*b^2*e^2*log(c^2*x^2 + 1))/(105*c^8) + (b^2*d^2*x^2)/(12*c^2) + (b^2*e^2*x^6)/(168*c^2) - (3*b^2*e^2*x^4)/(140*c^4) + (71*b^2*e^2*x^2)/(840*c^6) - (b^2*d^2*atan(c*x)^2)/(4*c^4) - (b^2*e^2*atan(c*x)^2)/(8*c^8) + (b^2*d^2*x^4*atan(c*x)^2)/4 + (b^2*e^2*x^8*atan(c*x)^2)/8 + (a^2*d*e*x^6)/3 - (b^2*d^2*x^3*atan(c*x))/(6*c) - (b^2*e^2*x^7*atan(c*x))/(28*c) + (b^2*e^2*x^5*atan(c*x))/(20*c^3) - (b^2*e^2*x^3*atan(c*x))/(12*c^5) + (a*b*d^2*x)/(2*c^3) + (a*b*e^2*x)/(4*c^7) + (a*b*d^2*x^4*atan(c*x))/2 + (a*b*e^2*x^8*atan(c*x))/4 + (23*b^2*d*e*log(c^2*x^2 + 1))/(45*c^6) - (a*b*d^2*x^3)/(6*c) - (a*b*e^2*x^7)/(28*c) + (a*b*e^2*x^5)/(20*c^3) - (a*b*e^2*x^3)/(12*c^5) + (b^2*d*e*x^4)/(30*c^2) - (8*b^2*d*e*x^2)/(45*c^4) + (b^2*d*e*atan(c*x)^2)/(3*c^6) + (b^2*d^2*x*atan(c*x))/(2*c^3) + (b^2*e^2*x*atan(c*x))/(4*c^7) + (b^2*d*e*x^6*atan(c*x)^2)/3 - (a*b*d^2*atan((3*b*c*e^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) + (6*b*c^5*d^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) - (8*b*c^3*d*e*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e)))/(2*c^4) - (a*b*e^2*atan((3*b*c*e^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) + (6*b*c^5*d^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) - (8*b*c^3*d*e*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e)))/(4*c^8) - (2*b^2*d*e*x^5*atan(c*x))/(15*c) + (2*b^2*d*e*x^3*atan(c*x))/(9*c^3) - (2*a*b*d*e*x)/(3*c^5) + (2*a*b*d*e*x^6*atan(c*x))/3 - (2*a*b*d*e*x^5)/(15*c) + (2*a*b*d*e*x^3)/(9*c^3) - (2*b^2*d*e*x*atan(c*x))/(3*c^5) + (2*a*b*d*e*atan((3*b*c*e^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) + (6*b*c^5*d^2*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e) - (8*b*c^3*d*e*x)/(3*b*e^2 + 6*b*c^4*d^2 - 8*b*c^2*d*e)))/(3*c^6)","B"
1255,0,-1,580,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2*(d + e*x^2)^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(e\,x^2+d\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2*(d + e*x^2)^2, x)","F"
1256,1,780,380,5.277567,"\text{Not used}","int(x*(a + b*atan(c*x))^2*(d + e*x^2)^2,x)","\frac{a^2\,d^2\,x^2}{2}+\frac{a^2\,e^2\,x^6}{6}+\frac{b^2\,d^2\,\ln\left(c^2\,x^2+1\right)}{2\,c^2}+\frac{23\,b^2\,e^2\,\ln\left(c^2\,x^2+1\right)}{90\,c^6}+\frac{b^2\,e^2\,x^4}{60\,c^2}-\frac{4\,b^2\,e^2\,x^2}{45\,c^4}+\frac{b^2\,d^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2\,c^2}+\frac{b^2\,e^2\,{\mathrm{atan}\left(c\,x\right)}^2}{6\,c^6}+\frac{b^2\,d^2\,x^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2}+\frac{b^2\,e^2\,x^6\,{\mathrm{atan}\left(c\,x\right)}^2}{6}+\frac{a^2\,d\,e\,x^4}{2}-\frac{b^2\,e^2\,x^5\,\mathrm{atan}\left(c\,x\right)}{15\,c}+\frac{b^2\,e^2\,x^3\,\mathrm{atan}\left(c\,x\right)}{9\,c^3}-\frac{a\,b\,d^2\,x}{c}-\frac{a\,b\,e^2\,x}{3\,c^5}+a\,b\,d^2\,x^2\,\mathrm{atan}\left(c\,x\right)+\frac{a\,b\,e^2\,x^6\,\mathrm{atan}\left(c\,x\right)}{3}-\frac{2\,b^2\,d\,e\,\ln\left(c^2\,x^2+1\right)}{3\,c^4}-\frac{a\,b\,e^2\,x^5}{15\,c}+\frac{a\,b\,e^2\,x^3}{9\,c^3}+\frac{b^2\,d\,e\,x^2}{6\,c^2}-\frac{b^2\,d\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{2\,c^4}-\frac{b^2\,d^2\,x\,\mathrm{atan}\left(c\,x\right)}{c}-\frac{b^2\,e^2\,x\,\mathrm{atan}\left(c\,x\right)}{3\,c^5}+\frac{b^2\,d\,e\,x^4\,{\mathrm{atan}\left(c\,x\right)}^2}{2}+\frac{a\,b\,d^2\,\mathrm{atan}\left(\frac{b\,c\,e^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}+\frac{3\,b\,c^5\,d^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}-\frac{3\,b\,c^3\,d\,e\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}\right)}{c^2}+\frac{a\,b\,e^2\,\mathrm{atan}\left(\frac{b\,c\,e^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}+\frac{3\,b\,c^5\,d^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}-\frac{3\,b\,c^3\,d\,e\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}\right)}{3\,c^6}-\frac{b^2\,d\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{3\,c}+\frac{a\,b\,d\,e\,x}{c^3}+a\,b\,d\,e\,x^4\,\mathrm{atan}\left(c\,x\right)-\frac{a\,b\,d\,e\,x^3}{3\,c}+\frac{b^2\,d\,e\,x\,\mathrm{atan}\left(c\,x\right)}{c^3}-\frac{a\,b\,d\,e\,\mathrm{atan}\left(\frac{b\,c\,e^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}+\frac{3\,b\,c^5\,d^2\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}-\frac{3\,b\,c^3\,d\,e\,x}{3\,b\,c^4\,d^2-3\,b\,c^2\,d\,e+b\,e^2}\right)}{c^4}","Not used",1,"(a^2*d^2*x^2)/2 + (a^2*e^2*x^6)/6 + (b^2*d^2*log(c^2*x^2 + 1))/(2*c^2) + (23*b^2*e^2*log(c^2*x^2 + 1))/(90*c^6) + (b^2*e^2*x^4)/(60*c^2) - (4*b^2*e^2*x^2)/(45*c^4) + (b^2*d^2*atan(c*x)^2)/(2*c^2) + (b^2*e^2*atan(c*x)^2)/(6*c^6) + (b^2*d^2*x^2*atan(c*x)^2)/2 + (b^2*e^2*x^6*atan(c*x)^2)/6 + (a^2*d*e*x^4)/2 - (b^2*e^2*x^5*atan(c*x))/(15*c) + (b^2*e^2*x^3*atan(c*x))/(9*c^3) - (a*b*d^2*x)/c - (a*b*e^2*x)/(3*c^5) + a*b*d^2*x^2*atan(c*x) + (a*b*e^2*x^6*atan(c*x))/3 - (2*b^2*d*e*log(c^2*x^2 + 1))/(3*c^4) - (a*b*e^2*x^5)/(15*c) + (a*b*e^2*x^3)/(9*c^3) + (b^2*d*e*x^2)/(6*c^2) - (b^2*d*e*atan(c*x)^2)/(2*c^4) - (b^2*d^2*x*atan(c*x))/c - (b^2*e^2*x*atan(c*x))/(3*c^5) + (b^2*d*e*x^4*atan(c*x)^2)/2 + (a*b*d^2*atan((b*c*e^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) + (3*b*c^5*d^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) - (3*b*c^3*d*e*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e)))/c^2 + (a*b*e^2*atan((b*c*e^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) + (3*b*c^5*d^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) - (3*b*c^3*d*e*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e)))/(3*c^6) - (b^2*d*e*x^3*atan(c*x))/(3*c) + (a*b*d*e*x)/c^3 + a*b*d*e*x^4*atan(c*x) - (a*b*d*e*x^3)/(3*c) + (b^2*d*e*x*atan(c*x))/c^3 - (a*b*d*e*atan((b*c*e^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) + (3*b*c^5*d^2*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e) - (3*b*c^3*d*e*x)/(b*e^2 + 3*b*c^4*d^2 - 3*b*c^2*d*e)))/c^4","B"
1257,0,-1,442,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d + e*x^2)^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(e\,x^2+d\right)}^2 \,d x","Not used",1,"int((a + b*atan(c*x))^2*(d + e*x^2)^2, x)","F"
1258,0,-1,355,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(e\,x^2+d\right)}^2}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x, x)","F"
1259,0,-1,343,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(e\,x^2+d\right)}^2}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x^2, x)","F"
1260,0,-1,320,0.000000,"\text{Not used}","int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(e\,x^2+d\right)}^2}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))^2*(d + e*x^2)^2)/x^3, x)","F"
1261,0,-1,590,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + e*x^2),x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{e\,x^2+d} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + e*x^2), x)","F"
1262,0,-1,554,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + e*x^2),x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{e\,x^2+d} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + e*x^2), x)","F"
1263,0,-1,492,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + e*x^2),x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{e\,x^2+d} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + e*x^2), x)","F"
1264,0,-1,460,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + e*x^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{e\,x^2+d} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + e*x^2), x)","F"
1265,0,-1,637,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + e*x^2)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + e*x^2)), x)","F"
1266,0,-1,553,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + e*x^2)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + e*x^2)), x)","F"
1267,0,-1,745,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^3*(d + e*x^2)),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^3\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^3*(d + e*x^2)), x)","F"
1268,0,-1,943,0.000000,"\text{Not used}","int((x^3*(a + b*atan(c*x))^2)/(d + e*x^2)^2,x)","\int \frac{x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((x^3*(a + b*atan(c*x))^2)/(d + e*x^2)^2, x)","F"
1269,0,-1,1033,0.000000,"\text{Not used}","int((x^2*(a + b*atan(c*x))^2)/(d + e*x^2)^2,x)","\int \frac{x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((x^2*(a + b*atan(c*x))^2)/(d + e*x^2)^2, x)","F"
1270,0,-1,457,0.000000,"\text{Not used}","int((x*(a + b*atan(c*x))^2)/(d + e*x^2)^2,x)","\int \frac{x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((x*(a + b*atan(c*x))^2)/(d + e*x^2)^2, x)","F"
1271,0,-1,1039,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(d + e*x^2)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(d + e*x^2)^2, x)","F"
1272,0,-1,1087,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x*(d + e*x^2)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x*(d + e*x^2)^2), x)","F"
1273,0,-1,1141,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^2*(d + e*x^2)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^2*(d + e*x^2)^2), x)","F"
1274,0,-1,1181,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/(x^3*(d + e*x^2)^2),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^3\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/(x^3*(d + e*x^2)^2), x)","F"
1275,1,82,111,0.481306,"\text{Not used}","int(x^4*log(x^2 + 1)*atan(x),x)","\frac{137\,\ln\left(x^2+1\right)}{300}-\frac{{\ln\left(x^2+1\right)}^2}{20}+\frac{{\mathrm{atan}\left(x\right)}^2}{5}-\mathrm{atan}\left(x\right)\,\left(\frac{2\,x}{5}-\frac{2\,x^3}{15}+\frac{2\,x^5}{25}-\frac{x^5\,\ln\left(x^2+1\right)}{5}\right)+\ln\left(x^2+1\right)\,\left(\frac{x^2}{10}-\frac{x^4}{20}\right)-\frac{77\,x^2}{300}+\frac{9\,x^4}{200}","Not used",1,"(137*log(x^2 + 1))/300 - log(x^2 + 1)^2/20 + atan(x)^2/5 - atan(x)*((2*x)/5 - (2*x^3)/15 + (2*x^5)/25 - (x^5*log(x^2 + 1))/5) + log(x^2 + 1)*(x^2/10 - x^4/20) - (77*x^2)/300 + (9*x^4)/200","B"
1276,1,69,88,0.526662,"\text{Not used}","int(x^3*log(x^2 + 1)*atan(x),x)","\frac{25\,\mathrm{atan}\left(x\right)}{24}+\frac{x^2\,\mathrm{atan}\left(x\right)}{4}+x\,\left(\frac{\ln\left(x^2+1\right)}{4}-\frac{25}{24}\right)-x^3\,\left(\frac{\ln\left(x^2+1\right)}{12}-\frac{7}{72}\right)-x^4\,\left(\frac{\mathrm{atan}\left(x\right)}{8}-\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{4}\right)-\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{4}","Not used",1,"(25*atan(x))/24 + (x^2*atan(x))/4 + x*(log(x^2 + 1)/4 - 25/24) - x^3*(log(x^2 + 1)/12 - 7/72) - x^4*(atan(x)/8 - (log(x^2 + 1)*atan(x))/4) - (log(x^2 + 1)*atan(x))/4","B"
1277,1,65,82,0.462085,"\text{Not used}","int(x^2*log(x^2 + 1)*atan(x),x)","\frac{{\ln\left(x^2+1\right)}^2}{12}-\frac{11\,\ln\left(x^2+1\right)}{18}-\frac{{\mathrm{atan}\left(x\right)}^2}{3}-x^2\,\left(\frac{\ln\left(x^2+1\right)}{6}-\frac{5}{18}\right)-x^3\,\left(\frac{2\,\mathrm{atan}\left(x\right)}{9}-\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{3}\right)+\frac{2\,x\,\mathrm{atan}\left(x\right)}{3}","Not used",1,"log(x^2 + 1)^2/12 - (11*log(x^2 + 1))/18 - atan(x)^2/3 - x^2*(log(x^2 + 1)/6 - 5/18) - x^3*((2*atan(x))/9 - (log(x^2 + 1)*atan(x))/3) + (2*x*atan(x))/3","B"
1278,1,48,49,0.471364,"\text{Not used}","int(x*log(x^2 + 1)*atan(x),x)","\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{2}-x\,\left(\frac{\ln\left(x^2+1\right)}{2}-\frac{3}{2}\right)-x^2\,\left(\frac{\mathrm{atan}\left(x\right)}{2}-\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{2}\right)-\frac{3\,\mathrm{atan}\left(x\right)}{2}","Not used",1,"(log(x^2 + 1)*atan(x))/2 - x*(log(x^2 + 1)/2 - 3/2) - x^2*(atan(x)/2 - (log(x^2 + 1)*atan(x))/2) - (3*atan(x))/2","B"
1279,1,39,38,0.459567,"\text{Not used}","int(log(x^2 + 1)*atan(x),x)","\ln\left(x^2+1\right)-\frac{{\ln\left(x^2+1\right)}^2}{4}+{\mathrm{atan}\left(x\right)}^2-x\,\left(2\,\mathrm{atan}\left(x\right)-\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)\right)","Not used",1,"log(x^2 + 1) - log(x^2 + 1)^2/4 + atan(x)^2 - x*(2*atan(x) - log(x^2 + 1)*atan(x))","B"
1280,0,-1,189,0.000000,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x,x)","\int \frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x} \,d x","Not used",1,"int((log(x^2 + 1)*atan(x))/x, x)","F"
1281,1,36,41,0.106541,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x^2,x)","{\mathrm{atan}\left(x\right)}^2-\frac{{\ln\left(x^2+1\right)}^2}{4}-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(x^2+1\right)}{2}-\frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x}","Not used",1,"atan(x)^2 - log(x^2 + 1)^2/4 - dilog(x^2 + 1)/2 - (log(x^2 + 1)*atan(x))/x","B"
1282,0,-1,69,0.000000,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x^3,x)","\int \frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x^3} \,d x","Not used",1,"int((log(x^2 + 1)*atan(x))/x^3, x)","F"
1283,0,-1,81,0.000000,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x^4,x)","\int \frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x^4} \,d x","Not used",1,"int((log(x^2 + 1)*atan(x))/x^4, x)","F"
1284,0,-1,102,0.000000,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x^5,x)","\int \frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x^5} \,d x","Not used",1,"int((log(x^2 + 1)*atan(x))/x^5, x)","F"
1285,0,-1,114,0.000000,"\text{Not used}","int((log(x^2 + 1)*atan(x))/x^6,x)","\int \frac{\ln\left(x^2+1\right)\,\mathrm{atan}\left(x\right)}{x^6} \,d x","Not used",1,"int((log(x^2 + 1)*atan(x))/x^6, x)","F"
1286,1,276,278,3.345684,"\text{Not used}","int(x^4*(a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)),x)","\frac{a\,d\,x^5}{5}-\frac{2\,a\,e\,x^5}{25}-\frac{b\,e\,{\ln\left(c^2\,x^2+1\right)}^2}{20\,c^5}-\frac{2\,a\,e\,x}{5\,c^4}+\frac{2\,a\,e\,\mathrm{atan}\left(c\,x\right)}{5\,c^5}+\frac{b\,d\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}-\frac{2\,b\,e\,x^5\,\mathrm{atan}\left(c\,x\right)}{25}-\frac{b\,d\,\ln\left(c^2\,x^2+1\right)}{10\,c^5}+\frac{137\,b\,e\,\ln\left(c^2\,x^2+1\right)}{300\,c^5}+\frac{2\,a\,e\,x^3}{15\,c^2}-\frac{b\,d\,x^4}{20\,c}+\frac{b\,d\,x^2}{10\,c^3}+\frac{9\,b\,e\,x^4}{200\,c}-\frac{77\,b\,e\,x^2}{300\,c^3}+\frac{a\,e\,x^5\,\ln\left(c^2\,x^2+1\right)}{5}+\frac{b\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{5\,c^5}+\frac{2\,b\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{15\,c^2}+\frac{b\,e\,x^5\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{5}-\frac{b\,e\,x^4\,\ln\left(c^2\,x^2+1\right)}{20\,c}+\frac{b\,e\,x^2\,\ln\left(c^2\,x^2+1\right)}{10\,c^3}-\frac{2\,b\,e\,x\,\mathrm{atan}\left(c\,x\right)}{5\,c^4}","Not used",1,"(a*d*x^5)/5 - (2*a*e*x^5)/25 - (b*e*log(c^2*x^2 + 1)^2)/(20*c^5) - (2*a*e*x)/(5*c^4) + (2*a*e*atan(c*x))/(5*c^5) + (b*d*x^5*atan(c*x))/5 - (2*b*e*x^5*atan(c*x))/25 - (b*d*log(c^2*x^2 + 1))/(10*c^5) + (137*b*e*log(c^2*x^2 + 1))/(300*c^5) + (2*a*e*x^3)/(15*c^2) - (b*d*x^4)/(20*c) + (b*d*x^2)/(10*c^3) + (9*b*e*x^4)/(200*c) - (77*b*e*x^2)/(300*c^3) + (a*e*x^5*log(c^2*x^2 + 1))/5 + (b*e*atan(c*x)^2)/(5*c^5) + (2*b*e*x^3*atan(c*x))/(15*c^2) + (b*e*x^5*atan(c*x)*log(c^2*x^2 + 1))/5 - (b*e*x^4*log(c^2*x^2 + 1))/(20*c) + (b*e*x^2*log(c^2*x^2 + 1))/(10*c^3) - (2*b*e*x*atan(c*x))/(5*c^4)","B"
1287,1,297,221,1.781836,"\text{Not used}","int(x^3*(a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)),x)","\frac{a\,d\,x^4}{4}-\frac{a\,e\,x^4}{8}+\frac{b\,d\,x}{4\,c^3}-\frac{25\,b\,e\,x}{24\,c^3}+\frac{b\,d\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}-\frac{b\,e\,x^4\,\mathrm{atan}\left(c\,x\right)}{8}-\frac{a\,e\,\ln\left(c^2\,x^2+1\right)}{4\,c^4}+\frac{a\,e\,x^2}{4\,c^2}-\frac{b\,d\,x^3}{12\,c}-\frac{b\,d\,\mathrm{atan}\left(\frac{6\,b\,c\,d\,x}{6\,b\,d-25\,b\,e}-\frac{25\,b\,c\,e\,x}{6\,b\,d-25\,b\,e}\right)}{4\,c^4}+\frac{7\,b\,e\,x^3}{72\,c}+\frac{25\,b\,e\,\mathrm{atan}\left(\frac{6\,b\,c\,d\,x}{6\,b\,d-25\,b\,e}-\frac{25\,b\,c\,e\,x}{6\,b\,d-25\,b\,e}\right)}{24\,c^4}+\frac{a\,e\,x^4\,\ln\left(c^2\,x^2+1\right)}{4}+\frac{b\,e\,x\,\ln\left(c^2\,x^2+1\right)}{4\,c^3}-\frac{b\,e\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{4\,c^4}+\frac{b\,e\,x^2\,\mathrm{atan}\left(c\,x\right)}{4\,c^2}+\frac{b\,e\,x^4\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{4}-\frac{b\,e\,x^3\,\ln\left(c^2\,x^2+1\right)}{12\,c}","Not used",1,"(a*d*x^4)/4 - (a*e*x^4)/8 + (b*d*x)/(4*c^3) - (25*b*e*x)/(24*c^3) + (b*d*x^4*atan(c*x))/4 - (b*e*x^4*atan(c*x))/8 - (a*e*log(c^2*x^2 + 1))/(4*c^4) + (a*e*x^2)/(4*c^2) - (b*d*x^3)/(12*c) - (b*d*atan((6*b*c*d*x)/(6*b*d - 25*b*e) - (25*b*c*e*x)/(6*b*d - 25*b*e)))/(4*c^4) + (7*b*e*x^3)/(72*c) + (25*b*e*atan((6*b*c*d*x)/(6*b*d - 25*b*e) - (25*b*c*e*x)/(6*b*d - 25*b*e)))/(24*c^4) + (a*e*x^4*log(c^2*x^2 + 1))/4 + (b*e*x*log(c^2*x^2 + 1))/(4*c^3) - (b*e*atan(c*x)*log(c^2*x^2 + 1))/(4*c^4) + (b*e*x^2*atan(c*x))/(4*c^2) + (b*e*x^4*atan(c*x)*log(c^2*x^2 + 1))/4 - (b*e*x^3*log(c^2*x^2 + 1))/(12*c)","B"
1288,1,212,213,2.527609,"\text{Not used}","int(x^2*(a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)),x)","\frac{a\,d\,x^3}{3}-\frac{2\,a\,e\,x^3}{9}+\frac{b\,e\,{\ln\left(c^2\,x^2+1\right)}^2}{12\,c^3}+\frac{2\,a\,e\,x}{3\,c^2}-\frac{2\,a\,e\,\mathrm{atan}\left(c\,x\right)}{3\,c^3}+\frac{b\,d\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}-\frac{2\,b\,e\,x^3\,\mathrm{atan}\left(c\,x\right)}{9}+\frac{b\,d\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{11\,b\,e\,\ln\left(c^2\,x^2+1\right)}{18\,c^3}-\frac{b\,d\,x^2}{6\,c}+\frac{5\,b\,e\,x^2}{18\,c}+\frac{a\,e\,x^3\,\ln\left(c^2\,x^2+1\right)}{3}-\frac{b\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{3\,c^3}+\frac{b\,e\,x^3\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{3}-\frac{b\,e\,x^2\,\ln\left(c^2\,x^2+1\right)}{6\,c}+\frac{2\,b\,e\,x\,\mathrm{atan}\left(c\,x\right)}{3\,c^2}","Not used",1,"(a*d*x^3)/3 - (2*a*e*x^3)/9 + (b*e*log(c^2*x^2 + 1)^2)/(12*c^3) + (2*a*e*x)/(3*c^2) - (2*a*e*atan(c*x))/(3*c^3) + (b*d*x^3*atan(c*x))/3 - (2*b*e*x^3*atan(c*x))/9 + (b*d*log(c^2*x^2 + 1))/(6*c^3) - (11*b*e*log(c^2*x^2 + 1))/(18*c^3) - (b*d*x^2)/(6*c) + (5*b*e*x^2)/(18*c) + (a*e*x^3*log(c^2*x^2 + 1))/3 - (b*e*atan(c*x)^2)/(3*c^3) + (b*e*x^3*atan(c*x)*log(c^2*x^2 + 1))/3 - (b*e*x^2*log(c^2*x^2 + 1))/(6*c) + (2*b*e*x*atan(c*x))/(3*c^2)","B"
1289,1,227,137,1.261194,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)),x)","\frac{a\,d\,x^2}{2}-\frac{a\,e\,x^2}{2}-\frac{b\,d\,x}{2\,c}+\frac{3\,b\,e\,x}{2\,c}+\frac{b\,d\,x^2\,\mathrm{atan}\left(c\,x\right)}{2}-\frac{b\,e\,x^2\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{a\,e\,\ln\left(c^2\,x^2+1\right)}{2\,c^2}+\frac{b\,d\,\mathrm{atan}\left(\frac{b\,c\,d\,x}{b\,d-3\,b\,e}-\frac{3\,b\,c\,e\,x}{b\,d-3\,b\,e}\right)}{2\,c^2}-\frac{3\,b\,e\,\mathrm{atan}\left(\frac{b\,c\,d\,x}{b\,d-3\,b\,e}-\frac{3\,b\,c\,e\,x}{b\,d-3\,b\,e}\right)}{2\,c^2}+\frac{a\,e\,x^2\,\ln\left(c^2\,x^2+1\right)}{2}-\frac{b\,e\,x\,\ln\left(c^2\,x^2+1\right)}{2\,c}+\frac{b\,e\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{2\,c^2}+\frac{b\,e\,x^2\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)}{2}","Not used",1,"(a*d*x^2)/2 - (a*e*x^2)/2 - (b*d*x)/(2*c) + (3*b*e*x)/(2*c) + (b*d*x^2*atan(c*x))/2 - (b*e*x^2*atan(c*x))/2 + (a*e*log(c^2*x^2 + 1))/(2*c^2) + (b*d*atan((b*c*d*x)/(b*d - 3*b*e) - (3*b*c*e*x)/(b*d - 3*b*e)))/(2*c^2) - (3*b*e*atan((b*c*d*x)/(b*d - 3*b*e) - (3*b*c*e*x)/(b*d - 3*b*e)))/(2*c^2) + (a*e*x^2*log(c^2*x^2 + 1))/2 - (b*e*x*log(c^2*x^2 + 1))/(2*c) + (b*e*atan(c*x)*log(c^2*x^2 + 1))/(2*c^2) + (b*e*x^2*atan(c*x)*log(c^2*x^2 + 1))/2","B"
1290,1,134,100,0.985800,"\text{Not used}","int((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)),x)","a\,d\,x-2\,a\,e\,x-\frac{b\,e\,{\ln\left(c^2\,x^2+1\right)}^2}{4\,c}+b\,d\,x\,\mathrm{atan}\left(c\,x\right)-2\,b\,e\,x\,\mathrm{atan}\left(c\,x\right)+a\,e\,x\,\ln\left(c^2\,x^2+1\right)+\frac{2\,a\,e\,\mathrm{atan}\left(c\,x\right)}{c}-\frac{b\,d\,\ln\left(c^2\,x^2+1\right)}{2\,c}+\frac{b\,e\,\ln\left(c^2\,x^2+1\right)}{c}+\frac{b\,e\,{\mathrm{atan}\left(c\,x\right)}^2}{c}+b\,e\,x\,\mathrm{atan}\left(c\,x\right)\,\ln\left(c^2\,x^2+1\right)","Not used",1,"a*d*x - 2*a*e*x - (b*e*log(c^2*x^2 + 1)^2)/(4*c) + b*d*x*atan(c*x) - 2*b*e*x*atan(c*x) + a*e*x*log(c^2*x^2 + 1) + (2*a*e*atan(c*x))/c - (b*d*log(c^2*x^2 + 1))/(2*c) + (b*e*log(c^2*x^2 + 1))/c + (b*e*atan(c*x)^2)/c + b*e*x*atan(c*x)*log(c^2*x^2 + 1)","B"
1291,0,-1,282,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x, x)","F"
1292,0,-1,100,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^2,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^2, x)","F"
1293,0,-1,154,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^3,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^3, x)","F"
1294,0,-1,189,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^4,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x^4} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^4, x)","F"
1295,0,-1,225,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^5,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x^5} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^5, x)","F"
1296,0,-1,248,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^6,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(c^2\,x^2+1\right)\right)}{x^6} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(c^2*x^2 + 1)))/x^6, x)","F"
1297,0,-1,562,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))*(d + e*log(f + g*x^2)),x)","\int x\,\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right) \,d x","Not used",1,"int(x*(a + b*atan(c*x))*(d + e*log(f + g*x^2)), x)","F"
1298,0,-1,656,0.000000,"\text{Not used}","int((a + b*atan(c*x))*(d + e*log(f + g*x^2)),x)","\int \left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right) \,d x","Not used",1,"int((a + b*atan(c*x))*(d + e*log(f + g*x^2)), x)","F"
1299,0,-1,102,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x} \,d x","Not used",0,"int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x, x)","F"
1300,0,-1,672,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x^2,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x^2} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x^2, x)","F"
1301,0,-1,528,0.000000,"\text{Not used}","int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x^3,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,\left(d+e\,\ln\left(g\,x^2+f\right)\right)}{x^3} \,d x","Not used",1,"int(((a + b*atan(c*x))*(d + e*log(f + g*x^2)))/x^3, x)","F"