1,1,28,33,0.179470,"\text{Not used}","int(x^2*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{B\,c\,x^9}{9}+\left(\frac{A\,c}{7}+\frac{B\,b}{7}\right)\,x^7+\frac{A\,b\,x^5}{5}","Not used",1,"x^7*((A*c)/7 + (B*b)/7) + (A*b*x^5)/5 + (B*c*x^9)/9","B"
2,1,28,33,0.058989,"\text{Not used}","int(x*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{B\,c\,x^8}{8}+\left(\frac{A\,c}{6}+\frac{B\,b}{6}\right)\,x^6+\frac{A\,b\,x^4}{4}","Not used",1,"x^6*((A*c)/6 + (B*b)/6) + (A*b*x^4)/4 + (B*c*x^8)/8","B"
3,1,28,33,0.039780,"\text{Not used}","int((A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{B\,c\,x^7}{7}+\left(\frac{A\,c}{5}+\frac{B\,b}{5}\right)\,x^5+\frac{A\,b\,x^3}{3}","Not used",1,"x^5*((A*c)/5 + (B*b)/5) + (A*b*x^3)/3 + (B*c*x^7)/7","B"
4,1,28,33,0.059307,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x,x)","\frac{B\,c\,x^6}{6}+\left(\frac{A\,c}{4}+\frac{B\,b}{4}\right)\,x^4+\frac{A\,b\,x^2}{2}","Not used",1,"x^4*((A*c)/4 + (B*b)/4) + (A*b*x^2)/2 + (B*c*x^6)/6","B"
5,1,25,28,0.060479,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^2,x)","\frac{B\,c\,x^5}{5}+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^3+A\,b\,x","Not used",1,"x^3*((A*c)/3 + (B*b)/3) + A*b*x + (B*c*x^5)/5","B"
6,1,26,29,0.061370,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^3,x)","x^2\,\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)+\frac{B\,c\,x^4}{4}+A\,b\,\ln\left(x\right)","Not used",1,"x^2*((A*c)/2 + (B*b)/2) + (B*c*x^4)/4 + A*b*log(x)","B"
7,1,24,26,0.073326,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^4,x)","x\,\left(A\,c+B\,b\right)-\frac{A\,b}{x}+\frac{B\,c\,x^3}{3}","Not used",1,"x*(A*c + B*b) - (A*b)/x + (B*c*x^3)/3","B"
8,1,25,29,0.041804,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^5,x)","\ln\left(x\right)\,\left(A\,c+B\,b\right)-\frac{A\,b}{2\,x^2}+\frac{B\,c\,x^2}{2}","Not used",1,"log(x)*(A*c + B*b) - (A*b)/(2*x^2) + (B*c*x^2)/2","B"
9,1,26,26,0.056801,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^6,x)","B\,c\,x-\frac{\left(A\,c+B\,b\right)\,x^2+\frac{A\,b}{3}}{x^3}","Not used",1,"B*c*x - ((A*b)/3 + x^2*(A*c + B*b))/x^3","B"
10,1,29,29,0.074176,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^7,x)","B\,c\,\ln\left(x\right)-\frac{\left(\frac{A\,c}{2}+\frac{B\,b}{2}\right)\,x^2+\frac{A\,b}{4}}{x^4}","Not used",1,"B*c*log(x) - ((A*b)/4 + x^2*((A*c)/2 + (B*b)/2))/x^4","B"
11,1,29,31,0.037889,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^8,x)","-\frac{B\,c\,x^4+\left(\frac{A\,c}{3}+\frac{B\,b}{3}\right)\,x^2+\frac{A\,b}{5}}{x^5}","Not used",1,"-((A*b)/5 + x^2*((A*c)/3 + (B*b)/3) + B*c*x^4)/x^5","B"
12,1,51,55,0.085053,"\text{Not used}","int((A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^7\,\left(\frac{B\,b^2}{7}+\frac{2\,A\,c\,b}{7}\right)+x^9\,\left(\frac{A\,c^2}{9}+\frac{2\,B\,b\,c}{9}\right)+\frac{A\,b^2\,x^5}{5}+\frac{B\,c^2\,x^{11}}{11}","Not used",1,"x^7*((B*b^2)/7 + (2*A*b*c)/7) + x^9*((A*c^2)/9 + (2*B*b*c)/9) + (A*b^2*x^5)/5 + (B*c^2*x^11)/11","B"
13,1,51,55,0.046636,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x,x)","x^6\,\left(\frac{B\,b^2}{6}+\frac{A\,c\,b}{3}\right)+x^8\,\left(\frac{A\,c^2}{8}+\frac{B\,b\,c}{4}\right)+\frac{A\,b^2\,x^4}{4}+\frac{B\,c^2\,x^{10}}{10}","Not used",1,"x^6*((B*b^2)/6 + (A*b*c)/3) + x^8*((A*c^2)/8 + (B*b*c)/4) + (A*b^2*x^4)/4 + (B*c^2*x^10)/10","B"
14,1,51,55,0.048592,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^2,x)","x^5\,\left(\frac{B\,b^2}{5}+\frac{2\,A\,c\,b}{5}\right)+x^7\,\left(\frac{A\,c^2}{7}+\frac{2\,B\,b\,c}{7}\right)+\frac{A\,b^2\,x^3}{3}+\frac{B\,c^2\,x^9}{9}","Not used",1,"x^5*((B*b^2)/5 + (2*A*b*c)/5) + x^7*((A*c^2)/7 + (2*B*b*c)/7) + (A*b^2*x^3)/3 + (B*c^2*x^9)/9","B"
15,1,51,42,0.045344,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^3,x)","x^4\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}\right)+x^6\,\left(\frac{A\,c^2}{6}+\frac{B\,b\,c}{3}\right)+\frac{A\,b^2\,x^2}{2}+\frac{B\,c^2\,x^8}{8}","Not used",1,"x^4*((B*b^2)/4 + (A*b*c)/2) + x^6*((A*c^2)/6 + (B*b*c)/3) + (A*b^2*x^2)/2 + (B*c^2*x^8)/8","B"
16,1,48,50,0.046719,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^4,x)","x^3\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,B\,b\,c}{5}\right)+\frac{B\,c^2\,x^7}{7}+A\,b^2\,x","Not used",1,"x^3*((B*b^2)/3 + (2*A*b*c)/3) + x^5*((A*c^2)/5 + (2*B*b*c)/5) + (B*c^2*x^7)/7 + A*b^2*x","B"
17,1,48,43,0.042082,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^5,x)","x^2\,\left(\frac{B\,b^2}{2}+A\,c\,b\right)+x^4\,\left(\frac{A\,c^2}{4}+\frac{B\,b\,c}{2}\right)+\frac{B\,c^2\,x^6}{6}+A\,b^2\,\ln\left(x\right)","Not used",1,"x^2*((B*b^2)/2 + A*b*c) + x^4*((A*c^2)/4 + (B*b*c)/2) + (B*c^2*x^6)/6 + A*b^2*log(x)","B"
18,1,48,48,0.051202,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^6,x)","x^3\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+x\,\left(B\,b^2+2\,A\,c\,b\right)-\frac{A\,b^2}{x}+\frac{B\,c^2\,x^5}{5}","Not used",1,"x^3*((A*c^2)/3 + (2*B*b*c)/3) + x*(B*b^2 + 2*A*b*c) - (A*b^2)/x + (B*c^2*x^5)/5","B"
19,1,48,51,0.047136,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^7,x)","x^2\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+\ln\left(x\right)\,\left(B\,b^2+2\,A\,c\,b\right)-\frac{A\,b^2}{2\,x^2}+\frac{B\,c^2\,x^4}{4}","Not used",1,"x^2*((A*c^2)/2 + B*b*c) + log(x)*(B*b^2 + 2*A*b*c) - (A*b^2)/(2*x^2) + (B*c^2*x^4)/4","B"
20,1,50,48,0.048537,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^8,x)","x\,\left(A\,c^2+2\,B\,b\,c\right)-\frac{x^2\,\left(B\,b^2+2\,A\,c\,b\right)+\frac{A\,b^2}{3}}{x^3}+\frac{B\,c^2\,x^3}{3}","Not used",1,"x*(A*c^2 + 2*B*b*c) - (x^2*(B*b^2 + 2*A*b*c) + (A*b^2)/3)/x^3 + (B*c^2*x^3)/3","B"
21,1,51,51,0.081284,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^9,x)","\ln\left(x\right)\,\left(A\,c^2+2\,B\,b\,c\right)-\frac{x^2\,\left(\frac{B\,b^2}{2}+A\,c\,b\right)+\frac{A\,b^2}{4}}{x^4}+\frac{B\,c^2\,x^2}{2}","Not used",1,"log(x)*(A*c^2 + 2*B*b*c) - (x^2*((B*b^2)/2 + A*b*c) + (A*b^2)/4)/x^4 + (B*c^2*x^2)/2","B"
22,1,50,48,0.067715,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^10,x)","B\,c^2\,x-\frac{x^2\,\left(\frac{B\,b^2}{3}+\frac{2\,A\,c\,b}{3}\right)+x^4\,\left(A\,c^2+2\,B\,b\,c\right)+\frac{A\,b^2}{5}}{x^5}","Not used",1,"B*c^2*x - (x^2*((B*b^2)/3 + (2*A*b*c)/3) + x^4*(A*c^2 + 2*B*b*c) + (A*b^2)/5)/x^5","B"
23,1,51,51,0.091082,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^11,x)","B\,c^2\,\ln\left(x\right)-\frac{x^2\,\left(\frac{B\,b^2}{4}+\frac{A\,c\,b}{2}\right)+x^4\,\left(\frac{A\,c^2}{2}+B\,b\,c\right)+\frac{A\,b^2}{6}}{x^6}","Not used",1,"B*c^2*log(x) - (x^2*((B*b^2)/4 + (A*b*c)/2) + x^4*((A*c^2)/2 + B*b*c) + (A*b^2)/6)/x^6","B"
24,1,52,53,0.037825,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^12,x)","-\frac{x^2\,\left(\frac{B\,b^2}{5}+\frac{2\,A\,c\,b}{5}\right)+x^4\,\left(\frac{A\,c^2}{3}+\frac{2\,B\,b\,c}{3}\right)+\frac{A\,b^2}{7}+B\,c^2\,x^6}{x^7}","Not used",1,"-(x^2*((B*b^2)/5 + (2*A*b*c)/5) + x^4*((A*c^2)/3 + (2*B*b*c)/3) + (A*b^2)/7 + B*c^2*x^6)/x^7","B"
25,1,69,75,0.059756,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^2,x)","x^7\,\left(\frac{B\,b^3}{7}+\frac{3\,A\,c\,b^2}{7}\right)+x^{11}\,\left(\frac{A\,c^3}{11}+\frac{3\,B\,b\,c^2}{11}\right)+\frac{A\,b^3\,x^5}{5}+\frac{B\,c^3\,x^{13}}{13}+\frac{b\,c\,x^9\,\left(A\,c+B\,b\right)}{3}","Not used",1,"x^7*((B*b^3)/7 + (3*A*b^2*c)/7) + x^11*((A*c^3)/11 + (3*B*b*c^2)/11) + (A*b^3*x^5)/5 + (B*c^3*x^13)/13 + (b*c*x^9*(A*c + B*b))/3","B"
26,1,69,68,0.030162,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^3,x)","x^6\,\left(\frac{B\,b^3}{6}+\frac{A\,c\,b^2}{2}\right)+x^{10}\,\left(\frac{A\,c^3}{10}+\frac{3\,B\,b\,c^2}{10}\right)+\frac{A\,b^3\,x^4}{4}+\frac{B\,c^3\,x^{12}}{12}+\frac{3\,b\,c\,x^8\,\left(A\,c+B\,b\right)}{8}","Not used",1,"x^6*((B*b^3)/6 + (A*b^2*c)/2) + x^10*((A*c^3)/10 + (3*B*b*c^2)/10) + (A*b^3*x^4)/4 + (B*c^3*x^12)/12 + (3*b*c*x^8*(A*c + B*b))/8","B"
27,1,69,75,0.030408,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^4,x)","x^5\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,c\,b^2}{5}\right)+x^9\,\left(\frac{A\,c^3}{9}+\frac{B\,b\,c^2}{3}\right)+\frac{A\,b^3\,x^3}{3}+\frac{B\,c^3\,x^{11}}{11}+\frac{3\,b\,c\,x^7\,\left(A\,c+B\,b\right)}{7}","Not used",1,"x^5*((B*b^3)/5 + (3*A*b^2*c)/5) + x^9*((A*c^3)/9 + (B*b*c^2)/3) + (A*b^3*x^3)/3 + (B*c^3*x^11)/11 + (3*b*c*x^7*(A*c + B*b))/7","B"
28,1,69,42,0.030644,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^5,x)","x^4\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,c\,b^2}{4}\right)+x^8\,\left(\frac{A\,c^3}{8}+\frac{3\,B\,b\,c^2}{8}\right)+\frac{A\,b^3\,x^2}{2}+\frac{B\,c^3\,x^{10}}{10}+\frac{b\,c\,x^6\,\left(A\,c+B\,b\right)}{2}","Not used",1,"x^4*((B*b^3)/4 + (3*A*b^2*c)/4) + x^8*((A*c^3)/8 + (3*B*b*c^2)/8) + (A*b^3*x^2)/2 + (B*c^3*x^10)/10 + (b*c*x^6*(A*c + B*b))/2","B"
29,1,65,70,0.030603,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^6,x)","x^3\,\left(\frac{B\,b^3}{3}+A\,c\,b^2\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,B\,b\,c^2}{7}\right)+\frac{B\,c^3\,x^9}{9}+A\,b^3\,x+\frac{3\,b\,c\,x^5\,\left(A\,c+B\,b\right)}{5}","Not used",1,"x^3*((B*b^3)/3 + A*b^2*c) + x^7*((A*c^3)/7 + (3*B*b*c^2)/7) + (B*c^3*x^9)/9 + A*b^3*x + (3*b*c*x^5*(A*c + B*b))/5","B"
30,1,67,60,0.034628,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^7,x)","x^2\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,c\,b^2}{2}\right)+x^6\,\left(\frac{A\,c^3}{6}+\frac{B\,b\,c^2}{2}\right)+\frac{B\,c^3\,x^8}{8}+A\,b^3\,\ln\left(x\right)+\frac{3\,b\,c\,x^4\,\left(A\,c+B\,b\right)}{4}","Not used",1,"x^2*((B*b^3)/2 + (3*A*b^2*c)/2) + x^6*((A*c^3)/6 + (B*b*c^2)/2) + (B*c^3*x^8)/8 + A*b^3*log(x) + (3*b*c*x^4*(A*c + B*b))/4","B"
31,1,65,65,0.033274,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^8,x)","x\,\left(B\,b^3+3\,A\,c\,b^2\right)+x^5\,\left(\frac{A\,c^3}{5}+\frac{3\,B\,b\,c^2}{5}\right)-\frac{A\,b^3}{x}+\frac{B\,c^3\,x^7}{7}+b\,c\,x^3\,\left(A\,c+B\,b\right)","Not used",1,"x*(B*b^3 + 3*A*b^2*c) + x^5*((A*c^3)/5 + (3*B*b*c^2)/5) - (A*b^3)/x + (B*c^3*x^7)/7 + b*c*x^3*(A*c + B*b)","B"
32,1,67,71,0.038565,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^9,x)","x^4\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+\ln\left(x\right)\,\left(B\,b^3+3\,A\,c\,b^2\right)-\frac{A\,b^3}{2\,x^2}+\frac{B\,c^3\,x^6}{6}+\frac{3\,b\,c\,x^2\,\left(A\,c+B\,b\right)}{2}","Not used",1,"x^4*((A*c^3)/4 + (3*B*b*c^2)/4) + log(x)*(B*b^3 + 3*A*b^2*c) - (A*b^3)/(2*x^2) + (B*c^3*x^6)/6 + (3*b*c*x^2*(A*c + B*b))/2","B"
33,1,68,69,0.056695,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^10,x)","x^3\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)-\frac{\frac{A\,b^3}{3}+x^2\,\left(B\,b^3+3\,A\,c\,b^2\right)}{x^3}+\frac{B\,c^3\,x^5}{5}+3\,b\,c\,x\,\left(A\,c+B\,b\right)","Not used",1,"x^3*((A*c^3)/3 + B*b*c^2) - ((A*b^3)/3 + x^2*(B*b^3 + 3*A*b^2*c))/x^3 + (B*c^3*x^5)/5 + 3*b*c*x*(A*c + B*b)","B"
34,1,76,72,0.073830,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^11,x)","\ln\left(x\right)\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2\right)-\frac{\frac{A\,b^3}{4}+x^2\,\left(\frac{B\,b^3}{2}+\frac{3\,A\,c\,b^2}{2}\right)}{x^4}+x^2\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)+\frac{B\,c^3\,x^4}{4}","Not used",1,"log(x)*(3*A*b*c^2 + 3*B*b^2*c) - ((A*b^3)/4 + x^2*((B*b^3)/2 + (3*A*b^2*c)/2))/x^4 + x^2*((A*c^3)/2 + (3*B*b*c^2)/2) + (B*c^3*x^4)/4","B"
35,1,73,68,0.056842,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^12,x)","x\,\left(A\,c^3+3\,B\,b\,c^2\right)-\frac{x^4\,\left(3\,B\,b^2\,c+3\,A\,b\,c^2\right)+\frac{A\,b^3}{5}+x^2\,\left(\frac{B\,b^3}{3}+A\,c\,b^2\right)}{x^5}+\frac{B\,c^3\,x^3}{3}","Not used",1,"x*(A*c^3 + 3*B*b*c^2) - (x^4*(3*A*b*c^2 + 3*B*b^2*c) + (A*b^3)/5 + x^2*((B*b^3)/3 + A*b^2*c))/x^5 + (B*c^3*x^3)/3","B"
36,1,75,71,0.087037,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^13,x)","\ln\left(x\right)\,\left(A\,c^3+3\,B\,b\,c^2\right)-\frac{x^4\,\left(\frac{3\,B\,b^2\,c}{2}+\frac{3\,A\,b\,c^2}{2}\right)+\frac{A\,b^3}{6}+x^2\,\left(\frac{B\,b^3}{4}+\frac{3\,A\,c\,b^2}{4}\right)}{x^6}+\frac{B\,c^3\,x^2}{2}","Not used",1,"log(x)*(A*c^3 + 3*B*b*c^2) - (x^4*((3*A*b*c^2)/2 + (3*B*b^2*c)/2) + (A*b^3)/6 + x^2*((B*b^3)/4 + (3*A*b^2*c)/4))/x^6 + (B*c^3*x^2)/2","B"
37,1,71,66,0.080371,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^14,x)","B\,c^3\,x-\frac{x^4\,\left(B\,b^2\,c+A\,b\,c^2\right)+\frac{A\,b^3}{7}+x^2\,\left(\frac{B\,b^3}{5}+\frac{3\,A\,c\,b^2}{5}\right)+x^6\,\left(A\,c^3+3\,B\,b\,c^2\right)}{x^7}","Not used",1,"B*c^3*x - (x^4*(A*b*c^2 + B*b^2*c) + (A*b^3)/7 + x^2*((B*b^3)/5 + (3*A*b^2*c)/5) + x^6*(A*c^3 + 3*B*b*c^2))/x^7","B"
38,1,75,63,0.103297,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^15,x)","B\,c^3\,\ln\left(x\right)-\frac{x^4\,\left(\frac{3\,B\,b^2\,c}{4}+\frac{3\,A\,b\,c^2}{4}\right)+\frac{A\,b^3}{8}+x^2\,\left(\frac{B\,b^3}{6}+\frac{A\,c\,b^2}{2}\right)+x^6\,\left(\frac{A\,c^3}{2}+\frac{3\,B\,b\,c^2}{2}\right)}{x^8}","Not used",1,"B*c^3*log(x) - (x^4*((3*A*b*c^2)/4 + (3*B*b^2*c)/4) + (A*b^3)/8 + x^2*((B*b^3)/6 + (A*b^2*c)/2) + x^6*((A*c^3)/2 + (3*B*b*c^2)/2))/x^8","B"
39,1,74,73,0.069846,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^16,x)","-\frac{x^4\,\left(\frac{3\,B\,b^2\,c}{5}+\frac{3\,A\,b\,c^2}{5}\right)+\frac{A\,b^3}{9}+x^2\,\left(\frac{B\,b^3}{7}+\frac{3\,A\,c\,b^2}{7}\right)+x^6\,\left(\frac{A\,c^3}{3}+B\,b\,c^2\right)+B\,c^3\,x^8}{x^9}","Not used",1,"-(x^4*((3*A*b*c^2)/5 + (3*B*b^2*c)/5) + (A*b^3)/9 + x^2*((B*b^3)/7 + (3*A*b^2*c)/7) + x^6*((A*c^3)/3 + B*b*c^2) + B*c^3*x^8)/x^9","B"
40,1,76,49,0.071473,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^17,x)","-\frac{x^4\,\left(\frac{B\,b^2\,c}{2}+\frac{A\,b\,c^2}{2}\right)+\frac{A\,b^3}{10}+x^2\,\left(\frac{B\,b^3}{8}+\frac{3\,A\,c\,b^2}{8}\right)+x^6\,\left(\frac{A\,c^3}{4}+\frac{3\,B\,b\,c^2}{4}\right)+\frac{B\,c^3\,x^8}{2}}{x^{10}}","Not used",1,"-(x^4*((A*b*c^2)/2 + (B*b^2*c)/2) + (A*b^3)/10 + x^2*((B*b^3)/8 + (3*A*b^2*c)/8) + x^6*((A*c^3)/4 + (3*B*b*c^2)/4) + (B*c^3*x^8)/2)/x^10","B"
41,1,144,119,0.170985,"\text{Not used}","int((x^10*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^7\,\left(\frac{A}{7\,c}-\frac{B\,b}{7\,c^2}\right)+\frac{B\,x^9}{9\,c}+\frac{b^2\,x^3\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{3\,c^2}-\frac{b^{7/2}\,\mathrm{atan}\left(\frac{b^{7/2}\,\sqrt{c}\,x\,\left(A\,c-B\,b\right)}{B\,b^5-A\,b^4\,c}\right)\,\left(A\,c-B\,b\right)}{c^{11/2}}-\frac{b\,x^5\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{5\,c}-\frac{b^3\,x\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{c^3}","Not used",1,"x^7*(A/(7*c) - (B*b)/(7*c^2)) + (B*x^9)/(9*c) + (b^2*x^3*(A/c - (B*b)/c^2))/(3*c^2) - (b^(7/2)*atan((b^(7/2)*c^(1/2)*x*(A*c - B*b))/(B*b^5 - A*b^4*c))*(A*c - B*b))/c^(11/2) - (b*x^5*(A/c - (B*b)/c^2))/(5*c) - (b^3*x*(A/c - (B*b)/c^2))/c^3","B"
42,1,100,96,0.057502,"\text{Not used}","int((x^9*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^6\,\left(\frac{A}{6\,c}-\frac{B\,b}{6\,c^2}\right)+\frac{B\,x^8}{8\,c}+\frac{\ln\left(c\,x^2+b\right)\,\left(B\,b^4-A\,b^3\,c\right)}{2\,c^5}+\frac{b^2\,x^2\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{2\,c^2}-\frac{b\,x^4\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{4\,c}","Not used",1,"x^6*(A/(6*c) - (B*b)/(6*c^2)) + (B*x^8)/(8*c) + (log(b + c*x^2)*(B*b^4 - A*b^3*c))/(2*c^5) + (b^2*x^2*(A/c - (B*b)/c^2))/(2*c^2) - (b*x^4*(A/c - (B*b)/c^2))/(4*c)","B"
43,1,118,98,0.042672,"\text{Not used}","int((x^8*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^5\,\left(\frac{A}{5\,c}-\frac{B\,b}{5\,c^2}\right)+\frac{B\,x^7}{7\,c}+\frac{b^{5/2}\,\mathrm{atan}\left(\frac{b^{5/2}\,\sqrt{c}\,x\,\left(A\,c-B\,b\right)}{B\,b^4-A\,b^3\,c}\right)\,\left(A\,c-B\,b\right)}{c^{9/2}}-\frac{b\,x^3\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{3\,c}+\frac{b^2\,x\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{c^2}","Not used",1,"x^5*(A/(5*c) - (B*b)/(5*c^2)) + (B*x^7)/(7*c) + (b^(5/2)*atan((b^(5/2)*c^(1/2)*x*(A*c - B*b))/(B*b^4 - A*b^3*c))*(A*c - B*b))/c^(9/2) - (b*x^3*(A/c - (B*b)/c^2))/(3*c) + (b^2*x*(A/c - (B*b)/c^2))/c^2","B"
44,1,76,75,0.086939,"\text{Not used}","int((x^7*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^4\,\left(\frac{A}{4\,c}-\frac{B\,b}{4\,c^2}\right)+\frac{B\,x^6}{6\,c}-\frac{\ln\left(c\,x^2+b\right)\,\left(B\,b^3-A\,b^2\,c\right)}{2\,c^4}-\frac{b\,x^2\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{2\,c}","Not used",1,"x^4*(A/(4*c) - (B*b)/(4*c^2)) + (B*x^6)/(6*c) - (log(b + c*x^2)*(B*b^3 - A*b^2*c))/(2*c^4) - (b*x^2*(A/c - (B*b)/c^2))/(2*c)","B"
45,1,96,77,0.065826,"\text{Not used}","int((x^6*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^3\,\left(\frac{A}{3\,c}-\frac{B\,b}{3\,c^2}\right)+\frac{B\,x^5}{5\,c}-\frac{b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,x\,\left(A\,c-B\,b\right)}{B\,b^3-A\,b^2\,c}\right)\,\left(A\,c-B\,b\right)}{c^{7/2}}-\frac{b\,x\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)}{c}","Not used",1,"x^3*(A/(3*c) - (B*b)/(3*c^2)) + (B*x^5)/(5*c) - (b^(3/2)*atan((b^(3/2)*c^(1/2)*x*(A*c - B*b))/(B*b^3 - A*b^2*c))*(A*c - B*b))/c^(7/2) - (b*x*(A/c - (B*b)/c^2))/c","B"
46,1,52,54,0.074382,"\text{Not used}","int((x^5*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^2\,\left(\frac{A}{2\,c}-\frac{B\,b}{2\,c^2}\right)+\frac{\ln\left(c\,x^2+b\right)\,\left(B\,b^2-A\,b\,c\right)}{2\,c^3}+\frac{B\,x^4}{4\,c}","Not used",1,"x^2*(A/(2*c) - (B*b)/(2*c^2)) + (log(b + c*x^2)*(B*b^2 - A*b*c))/(2*c^3) + (B*x^4)/(4*c)","B"
47,1,70,58,0.106833,"\text{Not used}","int((x^4*(A + B*x^2))/(b*x^2 + c*x^4),x)","x\,\left(\frac{A}{c}-\frac{B\,b}{c^2}\right)+\frac{B\,x^3}{3\,c}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,x\,\left(A\,c-B\,b\right)}{B\,b^2-A\,b\,c}\right)\,\left(A\,c-B\,b\right)}{c^{5/2}}","Not used",1,"x*(A/c - (B*b)/c^2) + (B*x^3)/(3*c) + (b^(1/2)*atan((b^(1/2)*c^(1/2)*x*(A*c - B*b))/(B*b^2 - A*b*c))*(A*c - B*b))/c^(5/2)","B"
48,1,31,35,0.056284,"\text{Not used}","int((x^3*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{B\,x^2}{2\,c}+\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c-B\,b\right)}{2\,c^2}","Not used",1,"(B*x^2)/(2*c) + (log(b + c*x^2)*(A*c - B*b))/(2*c^2)","B"
49,1,31,40,0.053575,"\text{Not used}","int((x^2*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{B\,x}{c}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{\sqrt{b}\,c^{3/2}}","Not used",1,"(B*x)/c + (atan((c^(1/2)*x)/b^(1/2))*(A*c - B*b))/(b^(1/2)*c^(3/2))","B"
50,1,32,34,0.084663,"\text{Not used}","int((x*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{A\,\ln\left(x\right)}{b}-\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c-B\,b\right)}{2\,b\,c}","Not used",1,"(A*log(x))/b - (log(b + c*x^2)*(A*c - B*b))/(2*b*c)","B"
51,1,35,42,0.091606,"\text{Not used}","int((A + B*x^2)/(b*x^2 + c*x^4),x)","-\frac{A}{b\,x}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{3/2}\,\sqrt{c}}","Not used",1,"- A/(b*x) - (atan((c^(1/2)*x)/b^(1/2))*(A*c - B*b))/(b^(3/2)*c^(1/2))","B"
52,1,33,41,0.145274,"\text{Not used}","int((A + B*x^2)/(b*x^2 - c*x^4),x)","\frac{\mathrm{atanh}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c+B\,b\right)}{b^{3/2}\,\sqrt{c}}-\frac{A}{b\,x}","Not used",1,"(atanh((c^(1/2)*x)/b^(1/2))*(A*c + B*b))/(b^(3/2)*c^(1/2)) - A/(b*x)","B"
53,1,46,49,0.136667,"\text{Not used}","int((A + B*x^2)/(x*(b*x^2 + c*x^4)),x)","\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c-B\,b\right)}{2\,b^2}-\frac{A}{2\,b\,x^2}-\frac{\ln\left(x\right)\,\left(A\,c-B\,b\right)}{b^2}","Not used",1,"(log(b + c*x^2)*(A*c - B*b))/(2*b^2) - A/(2*b*x^2) - (log(x)*(A*c - B*b))/b^2","B"
54,1,53,61,0.106282,"\text{Not used}","int((A + B*x^2)/(x^2*(b*x^2 + c*x^4)),x)","\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{5/2}}-\frac{\frac{A}{3\,b}-\frac{x^2\,\left(A\,c-B\,b\right)}{b^2}}{x^3}","Not used",1,"(c^(1/2)*atan((c^(1/2)*x)/b^(1/2))*(A*c - B*b))/b^(5/2) - (A/(3*b) - (x^2*(A*c - B*b))/b^2)/x^3","B"
55,1,70,70,0.137493,"\text{Not used}","int((A + B*x^2)/(x^3*(b*x^2 + c*x^4)),x)","\frac{\ln\left(x\right)\,\left(A\,c^2-B\,b\,c\right)}{b^3}-\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c^2-B\,b\,c\right)}{2\,b^3}-\frac{\frac{A}{4\,b}-\frac{x^2\,\left(A\,c-B\,b\right)}{2\,b^2}}{x^4}","Not used",1,"(log(x)*(A*c^2 - B*b*c))/b^3 - (log(b + c*x^2)*(A*c^2 - B*b*c))/(2*b^3) - (A/(4*b) - (x^2*(A*c - B*b))/(2*b^2))/x^4","B"
56,1,70,78,0.105672,"\text{Not used}","int((A + B*x^2)/(x^4*(b*x^2 + c*x^4)),x)","-\frac{\frac{A}{5\,b}-\frac{x^2\,\left(A\,c-B\,b\right)}{3\,b^2}+\frac{c\,x^4\,\left(A\,c-B\,b\right)}{b^3}}{x^5}-\frac{c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-B\,b\right)}{b^{7/2}}","Not used",1,"- (A/(5*b) - (x^2*(A*c - B*b))/(3*b^2) + (c*x^4*(A*c - B*b))/b^3)/x^5 - (c^(3/2)*atan((c^(1/2)*x)/b^(1/2))*(A*c - B*b))/b^(7/2)","B"
57,1,92,92,0.152507,"\text{Not used}","int((A + B*x^2)/(x^5*(b*x^2 + c*x^4)),x)","\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c^3-B\,b\,c^2\right)}{2\,b^4}-\frac{\frac{A}{6\,b}-\frac{x^2\,\left(A\,c-B\,b\right)}{4\,b^2}+\frac{c\,x^4\,\left(A\,c-B\,b\right)}{2\,b^3}}{x^6}-\frac{\ln\left(x\right)\,\left(A\,c^3-B\,b\,c^2\right)}{b^4}","Not used",1,"(log(b + c*x^2)*(A*c^3 - B*b*c^2))/(2*b^4) - (A/(6*b) - (x^2*(A*c - B*b))/(4*b^2) + (c*x^4*(A*c - B*b))/(2*b^3))/x^6 - (log(x)*(A*c^3 - B*b*c^2))/b^4","B"
58,1,203,133,0.104494,"\text{Not used}","int((x^12*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x\,\left(\frac{2\,b\,\left(\frac{2\,b\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)}{c}+\frac{B\,b^2}{c^4}\right)}{c}-\frac{b^2\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)}{c^2}\right)+x^5\,\left(\frac{A}{5\,c^2}-\frac{2\,B\,b}{5\,c^3}\right)-x^3\,\left(\frac{2\,b\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)}{3\,c}+\frac{B\,b^2}{3\,c^4}\right)+\frac{B\,x^7}{7\,c^2}-\frac{x\,\left(\frac{B\,b^4}{2}-\frac{A\,b^3\,c}{2}\right)}{c^6\,x^2+b\,c^5}+\frac{b^{5/2}\,\mathrm{atan}\left(\frac{b^{5/2}\,\sqrt{c}\,x\,\left(7\,A\,c-9\,B\,b\right)}{9\,B\,b^4-7\,A\,b^3\,c}\right)\,\left(7\,A\,c-9\,B\,b\right)}{2\,c^{11/2}}","Not used",1,"x*((2*b*((2*b*(A/c^2 - (2*B*b)/c^3))/c + (B*b^2)/c^4))/c - (b^2*(A/c^2 - (2*B*b)/c^3))/c^2) + x^5*(A/(5*c^2) - (2*B*b)/(5*c^3)) - x^3*((2*b*(A/c^2 - (2*B*b)/c^3))/(3*c) + (B*b^2)/(3*c^4)) + (B*x^7)/(7*c^2) - (x*((B*b^4)/2 - (A*b^3*c)/2))/(b*c^5 + c^6*x^2) + (b^(5/2)*atan((b^(5/2)*c^(1/2)*x*(7*A*c - 9*B*b))/(9*B*b^4 - 7*A*b^3*c))*(7*A*c - 9*B*b))/(2*c^(11/2))","B"
59,1,121,105,0.096852,"\text{Not used}","int((x^11*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x^4\,\left(\frac{A}{4\,c^2}-\frac{B\,b}{2\,c^3}\right)-x^2\,\left(\frac{b\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)}{c}+\frac{B\,b^2}{2\,c^4}\right)+\frac{B\,x^6}{6\,c^2}-\frac{\ln\left(c\,x^2+b\right)\,\left(4\,B\,b^3-3\,A\,b^2\,c\right)}{2\,c^5}-\frac{B\,b^4-A\,b^3\,c}{2\,c\,\left(c^5\,x^2+b\,c^4\right)}","Not used",1,"x^4*(A/(4*c^2) - (B*b)/(2*c^3)) - x^2*((b*(A/c^2 - (2*B*b)/c^3))/c + (B*b^2)/(2*c^4)) + (B*x^6)/(6*c^2) - (log(b + c*x^2)*(4*B*b^3 - 3*A*b^2*c))/(2*c^5) - (B*b^4 - A*b^3*c)/(2*c*(b*c^4 + c^5*x^2))","B"
60,1,141,110,0.085488,"\text{Not used}","int((x^10*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x^3\,\left(\frac{A}{3\,c^2}-\frac{2\,B\,b}{3\,c^3}\right)-x\,\left(\frac{2\,b\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)}{c}+\frac{B\,b^2}{c^4}\right)+\frac{B\,x^5}{5\,c^2}+\frac{x\,\left(\frac{B\,b^3}{2}-\frac{A\,b^2\,c}{2}\right)}{c^5\,x^2+b\,c^4}-\frac{b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,x\,\left(5\,A\,c-7\,B\,b\right)}{7\,B\,b^3-5\,A\,b^2\,c}\right)\,\left(5\,A\,c-7\,B\,b\right)}{2\,c^{9/2}}","Not used",1,"x^3*(A/(3*c^2) - (2*B*b)/(3*c^3)) - x*((2*b*(A/c^2 - (2*B*b)/c^3))/c + (B*b^2)/c^4) + (B*x^5)/(5*c^2) + (x*((B*b^3)/2 - (A*b^2*c)/2))/(b*c^4 + c^5*x^2) - (b^(3/2)*atan((b^(3/2)*c^(1/2)*x*(5*A*c - 7*B*b))/(7*B*b^3 - 5*A*b^2*c))*(5*A*c - 7*B*b))/(2*c^(9/2))","B"
61,1,86,83,0.072422,"\text{Not used}","int((x^9*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x^2\,\left(\frac{A}{2\,c^2}-\frac{B\,b}{c^3}\right)+\frac{\ln\left(c\,x^2+b\right)\,\left(3\,B\,b^2-2\,A\,b\,c\right)}{2\,c^4}+\frac{B\,x^4}{4\,c^2}+\frac{B\,b^3-A\,b^2\,c}{2\,c\,\left(c^4\,x^2+b\,c^3\right)}","Not used",1,"x^2*(A/(2*c^2) - (B*b)/c^3) + (log(b + c*x^2)*(3*B*b^2 - 2*A*b*c))/(2*c^4) + (B*x^4)/(4*c^2) + (B*b^3 - A*b^2*c)/(2*c*(b*c^3 + c^4*x^2))","B"
62,1,104,89,0.109692,"\text{Not used}","int((x^8*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x\,\left(\frac{A}{c^2}-\frac{2\,B\,b}{c^3}\right)-\frac{x\,\left(\frac{B\,b^2}{2}-\frac{A\,b\,c}{2}\right)}{c^4\,x^2+b\,c^3}+\frac{B\,x^3}{3\,c^2}+\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,x\,\left(3\,A\,c-5\,B\,b\right)}{5\,B\,b^2-3\,A\,b\,c}\right)\,\left(3\,A\,c-5\,B\,b\right)}{2\,c^{7/2}}","Not used",1,"x*(A/c^2 - (2*B*b)/c^3) - (x*((B*b^2)/2 - (A*b*c)/2))/(b*c^3 + c^4*x^2) + (B*x^3)/(3*c^2) + (b^(1/2)*atan((b^(1/2)*c^(1/2)*x*(3*A*c - 5*B*b))/(5*B*b^2 - 3*A*b*c))*(3*A*c - 5*B*b))/(2*c^(7/2))","B"
63,1,62,61,0.115890,"\text{Not used}","int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{B\,x^2}{2\,c^2}+\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c-2\,B\,b\right)}{2\,c^3}-\frac{B\,b^2-A\,b\,c}{2\,c\,\left(c^3\,x^2+b\,c^2\right)}","Not used",1,"(B*x^2)/(2*c^2) + (log(b + c*x^2)*(A*c - 2*B*b))/(2*c^3) - (B*b^2 - A*b*c)/(2*c*(b*c^2 + c^3*x^2))","B"
64,1,59,68,0.126006,"\text{Not used}","int((x^6*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{B\,x}{c^2}-\frac{x\,\left(\frac{A\,c}{2}-\frac{B\,b}{2}\right)}{c^3\,x^2+b\,c^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-3\,B\,b\right)}{2\,\sqrt{b}\,c^{5/2}}","Not used",1,"(B*x)/c^2 - (x*((A*c)/2 - (B*b)/2))/(b*c^2 + c^3*x^2) + (atan((c^(1/2)*x)/b^(1/2))*(A*c - 3*B*b))/(2*b^(1/2)*c^(5/2))","B"
65,1,37,41,0.086452,"\text{Not used}","int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{B\,\ln\left(c\,x^2+b\right)}{2\,c^2}-\frac{A\,c-B\,b}{2\,c^2\,\left(c\,x^2+b\right)}","Not used",1,"(B*log(b + c*x^2))/(2*c^2) - (A*c - B*b)/(2*c^2*(b + c*x^2))","B"
66,1,51,63,0.119786,"\text{Not used}","int((x^4*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c+B\,b\right)}{2\,b^{3/2}\,c^{3/2}}+\frac{x\,\left(A\,c-B\,b\right)}{2\,b\,c\,\left(c\,x^2+b\right)}","Not used",1,"(atan((c^(1/2)*x)/b^(1/2))*(A*c + B*b))/(2*b^(3/2)*c^(3/2)) + (x*(A*c - B*b))/(2*b*c*(b + c*x^2))","B"
67,1,47,51,0.159447,"\text{Not used}","int((x^3*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{A\,\ln\left(x\right)}{b^2}-\frac{A\,\ln\left(c\,x^2+b\right)}{2\,b^2}+\frac{A\,c-B\,b}{2\,b\,c\,\left(c\,x^2+b\right)}","Not used",1,"(A*log(x))/b^2 - (A*log(b + c*x^2))/(2*b^2) + (A*c - B*b)/(2*b*c*(b + c*x^2))","B"
68,1,63,70,0.129071,"\text{Not used}","int((x^2*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","-\frac{\frac{A}{b}+\frac{x^2\,\left(3\,A\,c-B\,b\right)}{2\,b^2}}{c\,x^3+b\,x}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(3\,A\,c-B\,b\right)}{2\,b^{5/2}\,\sqrt{c}}","Not used",1,"- (A/b + (x^2*(3*A*c - B*b))/(2*b^2))/(b*x + c*x^3) - (atan((c^(1/2)*x)/b^(1/2))*(3*A*c - B*b))/(2*b^(5/2)*c^(1/2))","B"
69,1,78,73,0.147121,"\text{Not used}","int((x*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\ln\left(c\,x^2+b\right)\,\left(2\,A\,c-B\,b\right)}{2\,b^3}-\frac{\frac{A}{2\,b}+\frac{x^2\,\left(2\,A\,c-B\,b\right)}{2\,b^2}}{c\,x^4+b\,x^2}-\frac{\ln\left(x\right)\,\left(2\,A\,c-B\,b\right)}{b^3}","Not used",1,"(log(b + c*x^2)*(2*A*c - B*b))/(2*b^3) - (A/(2*b) + (x^2*(2*A*c - B*b))/(2*b^2))/(b*x^2 + c*x^4) - (log(x)*(2*A*c - B*b))/b^3","B"
70,1,83,90,0.137398,"\text{Not used}","int((A + B*x^2)/(b*x^2 + c*x^4)^2,x)","\frac{\frac{x^2\,\left(5\,A\,c-3\,B\,b\right)}{3\,b^2}-\frac{A}{3\,b}+\frac{c\,x^4\,\left(5\,A\,c-3\,B\,b\right)}{2\,b^3}}{c\,x^5+b\,x^3}+\frac{\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(5\,A\,c-3\,B\,b\right)}{2\,b^{7/2}}","Not used",1,"((x^2*(5*A*c - 3*B*b))/(3*b^2) - A/(3*b) + (c*x^4*(5*A*c - 3*B*b))/(2*b^3))/(b*x^3 + c*x^5) + (c^(1/2)*atan((c^(1/2)*x)/b^(1/2))*(5*A*c - 3*B*b))/(2*b^(7/2))","B"
71,1,100,97,0.137543,"\text{Not used}","int((A + B*x^2)/(x*(b*x^2 + c*x^4)^2),x)","\frac{\frac{x^2\,\left(3\,A\,c-2\,B\,b\right)}{4\,b^2}-\frac{A}{4\,b}+\frac{c\,x^4\,\left(3\,A\,c-2\,B\,b\right)}{2\,b^3}}{c\,x^6+b\,x^4}-\frac{\ln\left(c\,x^2+b\right)\,\left(3\,A\,c^2-2\,B\,b\,c\right)}{2\,b^4}+\frac{\ln\left(x\right)\,\left(3\,A\,c^2-2\,B\,b\,c\right)}{b^4}","Not used",1,"((x^2*(3*A*c - 2*B*b))/(4*b^2) - A/(4*b) + (c*x^4*(3*A*c - 2*B*b))/(2*b^3))/(b*x^4 + c*x^6) - (log(b + c*x^2)*(3*A*c^2 - 2*B*b*c))/(2*b^4) + (log(x)*(3*A*c^2 - 2*B*b*c))/b^4","B"
72,1,104,111,0.157714,"\text{Not used}","int((A + B*x^2)/(x^2*(b*x^2 + c*x^4)^2),x)","-\frac{\frac{A}{5\,b}-\frac{x^2\,\left(7\,A\,c-5\,B\,b\right)}{15\,b^2}+\frac{c^2\,x^6\,\left(7\,A\,c-5\,B\,b\right)}{2\,b^4}+\frac{c\,x^4\,\left(7\,A\,c-5\,B\,b\right)}{3\,b^3}}{c\,x^7+b\,x^5}-\frac{c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(7\,A\,c-5\,B\,b\right)}{2\,b^{9/2}}","Not used",1,"- (A/(5*b) - (x^2*(7*A*c - 5*B*b))/(15*b^2) + (c^2*x^6*(7*A*c - 5*B*b))/(2*b^4) + (c*x^4*(7*A*c - 5*B*b))/(3*b^3))/(b*x^5 + c*x^7) - (c^(3/2)*atan((c^(1/2)*x)/b^(1/2))*(7*A*c - 5*B*b))/(2*b^(9/2))","B"
73,1,177,140,0.120335,"\text{Not used}","int((x^14*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{x\,\left(\frac{15\,B\,b^4}{8}-\frac{11\,A\,b^3\,c}{8}\right)-x^3\,\left(\frac{13\,A\,b^2\,c^2}{8}-\frac{17\,B\,b^3\,c}{8}\right)}{b^2\,c^5+2\,b\,c^6\,x^2+c^7\,x^4}-x\,\left(\frac{3\,b\,\left(\frac{A}{c^3}-\frac{3\,B\,b}{c^4}\right)}{c}+\frac{3\,B\,b^2}{c^5}\right)+x^3\,\left(\frac{A}{3\,c^3}-\frac{B\,b}{c^4}\right)+\frac{B\,x^5}{5\,c^3}-\frac{7\,b^{3/2}\,\mathrm{atan}\left(\frac{b^{3/2}\,\sqrt{c}\,x\,\left(5\,A\,c-9\,B\,b\right)}{9\,B\,b^3-5\,A\,b^2\,c}\right)\,\left(5\,A\,c-9\,B\,b\right)}{8\,c^{11/2}}","Not used",1,"(x*((15*B*b^4)/8 - (11*A*b^3*c)/8) - x^3*((13*A*b^2*c^2)/8 - (17*B*b^3*c)/8))/(b^2*c^5 + c^7*x^4 + 2*b*c^6*x^2) - x*((3*b*(A/c^3 - (3*B*b)/c^4))/c + (3*B*b^2)/c^5) + x^3*(A/(3*c^3) - (B*b)/c^4) + (B*x^5)/(5*c^3) - (7*b^(3/2)*atan((b^(3/2)*c^(1/2)*x*(5*A*c - 9*B*b))/(9*B*b^3 - 5*A*b^2*c))*(5*A*c - 9*B*b))/(8*c^(11/2))","B"
74,1,118,111,0.117525,"\text{Not used}","int((x^13*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{7\,B\,b^4-5\,A\,b^3\,c}{4\,c}+x^2\,\left(2\,B\,b^3-\frac{3\,A\,b^2\,c}{2}\right)}{b^2\,c^4+2\,b\,c^5\,x^2+c^6\,x^4}+x^2\,\left(\frac{A}{2\,c^3}-\frac{3\,B\,b}{2\,c^4}\right)+\frac{\ln\left(c\,x^2+b\right)\,\left(6\,B\,b^2-3\,A\,b\,c\right)}{2\,c^5}+\frac{B\,x^4}{4\,c^3}","Not used",1,"((7*B*b^4 - 5*A*b^3*c)/(4*c) + x^2*(2*B*b^3 - (3*A*b^2*c)/2))/(b^2*c^4 + c^6*x^4 + 2*b*c^5*x^2) + x^2*(A/(2*c^3) - (3*B*b)/(2*c^4)) + (log(b + c*x^2)*(6*B*b^2 - 3*A*b*c))/(2*c^5) + (B*x^4)/(4*c^3)","B"
75,1,138,118,0.078191,"\text{Not used}","int((x^12*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{x^3\,\left(\frac{9\,A\,b\,c^2}{8}-\frac{13\,B\,b^2\,c}{8}\right)-x\,\left(\frac{11\,B\,b^3}{8}-\frac{7\,A\,b^2\,c}{8}\right)}{b^2\,c^4+2\,b\,c^5\,x^2+c^6\,x^4}+x\,\left(\frac{A}{c^3}-\frac{3\,B\,b}{c^4}\right)+\frac{B\,x^3}{3\,c^3}+\frac{5\,\sqrt{b}\,\mathrm{atan}\left(\frac{\sqrt{b}\,\sqrt{c}\,x\,\left(3\,A\,c-7\,B\,b\right)}{7\,B\,b^2-3\,A\,b\,c}\right)\,\left(3\,A\,c-7\,B\,b\right)}{8\,c^{9/2}}","Not used",1,"(x^3*((9*A*b*c^2)/8 - (13*B*b^2*c)/8) - x*((11*B*b^3)/8 - (7*A*b^2*c)/8))/(b^2*c^4 + c^6*x^4 + 2*b*c^5*x^2) + x*(A/c^3 - (3*B*b)/c^4) + (B*x^3)/(3*c^3) + (5*b^(1/2)*atan((b^(1/2)*c^(1/2)*x*(3*A*c - 7*B*b))/(7*B*b^2 - 3*A*b*c))*(3*A*c - 7*B*b))/(8*c^(9/2))","B"
76,1,95,89,0.091236,"\text{Not used}","int((x^11*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{B\,x^2}{2\,c^3}-\frac{x^2\,\left(\frac{3\,B\,b^2}{2}-A\,b\,c\right)+\frac{5\,B\,b^3-3\,A\,b^2\,c}{4\,c}}{b^2\,c^3+2\,b\,c^4\,x^2+c^5\,x^4}+\frac{\ln\left(c\,x^2+b\right)\,\left(A\,c-3\,B\,b\right)}{2\,c^4}","Not used",1,"(B*x^2)/(2*c^3) - (x^2*((3*B*b^2)/2 - A*b*c) + (5*B*b^3 - 3*A*b^2*c)/(4*c))/(b^2*c^3 + c^5*x^4 + 2*b*c^4*x^2) + (log(b + c*x^2)*(A*c - 3*B*b))/(2*c^4)","B"
77,1,92,95,0.152083,"\text{Not used}","int((x^10*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{B\,x}{c^3}-\frac{x^3\,\left(\frac{5\,A\,c^2}{8}-\frac{9\,B\,b\,c}{8}\right)-x\,\left(\frac{7\,B\,b^2}{8}-\frac{3\,A\,b\,c}{8}\right)}{b^2\,c^3+2\,b\,c^4\,x^2+c^5\,x^4}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c-5\,B\,b\right)}{8\,\sqrt{b}\,c^{7/2}}","Not used",1,"(B*x)/c^3 - (x^3*((5*A*c^2)/8 - (9*B*b*c)/8) - x*((7*B*b^2)/8 - (3*A*b*c)/8))/(b^2*c^3 + c^5*x^4 + 2*b*c^4*x^2) + (3*atan((c^(1/2)*x)/b^(1/2))*(A*c - 5*B*b))/(8*b^(1/2)*c^(7/2))","B"
78,1,70,67,0.108265,"\text{Not used}","int((x^9*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{3\,B\,b^2-A\,b\,c}{4\,c^3}-\frac{x^2\,\left(A\,c-2\,B\,b\right)}{2\,c^2}}{b^2+2\,b\,c\,x^2+c^2\,x^4}+\frac{B\,\ln\left(c\,x^2+b\right)}{2\,c^3}","Not used",1,"((3*B*b^2 - A*b*c)/(4*c^3) - (x^2*(A*c - 2*B*b))/(2*c^2))/(b^2 + c^2*x^4 + 2*b*c*x^2) + (B*log(b + c*x^2))/(2*c^3)","B"
79,1,82,90,0.145505,"\text{Not used}","int((x^8*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(A\,c+3\,B\,b\right)}{8\,b^{3/2}\,c^{5/2}}-\frac{\frac{x\,\left(A\,c+3\,B\,b\right)}{8\,c^2}-\frac{x^3\,\left(A\,c-5\,B\,b\right)}{8\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}","Not used",1,"(atan((c^(1/2)*x)/b^(1/2))*(A*c + 3*B*b))/(8*b^(3/2)*c^(5/2)) - ((x*(A*c + 3*B*b))/(8*c^2) - (x^3*(A*c - 5*B*b))/(8*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2)","B"
80,1,44,32,0.075630,"\text{Not used}","int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","-\frac{\frac{A\,c+B\,b}{4\,c^2}+\frac{B\,x^2}{2\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}","Not used",1,"-((A*c + B*b)/(4*c^2) + (B*x^2)/(2*c))/(b^2 + c^2*x^4 + 2*b*c*x^2)","B"
81,1,82,92,0.140120,"\text{Not used}","int((x^6*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{x^3\,\left(3\,A\,c+B\,b\right)}{8\,b^2}+\frac{x\,\left(5\,A\,c-B\,b\right)}{8\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(3\,A\,c+B\,b\right)}{8\,b^{5/2}\,c^{3/2}}","Not used",1,"((x^3*(3*A*c + B*b))/(8*b^2) + (x*(5*A*c - B*b))/(8*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2) + (atan((c^(1/2)*x)/b^(1/2))*(3*A*c + B*b))/(8*b^(5/2)*c^(3/2))","B"
82,1,71,68,0.178152,"\text{Not used}","int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{3\,A\,c-B\,b}{4\,b\,c}+\frac{A\,c\,x^2}{2\,b^2}}{b^2+2\,b\,c\,x^2+c^2\,x^4}-\frac{A\,\ln\left(c\,x^2+b\right)}{2\,b^3}+\frac{A\,\ln\left(x\right)}{b^3}","Not used",1,"((3*A*c - B*b)/(4*b*c) + (A*c*x^2)/(2*b^2))/(b^2 + c^2*x^4 + 2*b*c*x^2) - (A*log(b + c*x^2))/(2*b^3) + (A*log(x))/b^3","B"
83,1,113,96,0.175791,"\text{Not used}","int((x^4*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","-\frac{\frac{A}{b}+\frac{5\,x^2\,\left(5\,A\,c-B\,b\right)}{8\,b^2}+\frac{3\,c\,x^4\,\left(5\,A\,c-B\,b\right)}{8\,b^3}}{b^2\,x+2\,b\,c\,x^3+c^2\,x^5}-\frac{3\,\mathrm{atan}\left(\frac{3\,\sqrt{c}\,x\,\left(5\,A\,c-B\,b\right)}{\sqrt{b}\,\left(15\,A\,c-3\,B\,b\right)}\right)\,\left(5\,A\,c-B\,b\right)}{8\,b^{7/2}\,\sqrt{c}}","Not used",1,"- (A/b + (5*x^2*(5*A*c - B*b))/(8*b^2) + (3*c*x^4*(5*A*c - B*b))/(8*b^3))/(b^2*x + c^2*x^5 + 2*b*c*x^3) - (3*atan((3*c^(1/2)*x*(5*A*c - B*b))/(b^(1/2)*(15*A*c - 3*B*b)))*(5*A*c - B*b))/(8*b^(7/2)*c^(1/2))","B"
84,1,107,97,0.151565,"\text{Not used}","int((x^3*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\ln\left(c\,x^2+b\right)\,\left(3\,A\,c-B\,b\right)}{2\,b^4}-\frac{\frac{A}{2\,b}+\frac{3\,x^2\,\left(3\,A\,c-B\,b\right)}{4\,b^2}+\frac{c\,x^4\,\left(3\,A\,c-B\,b\right)}{2\,b^3}}{b^2\,x^2+2\,b\,c\,x^4+c^2\,x^6}-\frac{\ln\left(x\right)\,\left(3\,A\,c-B\,b\right)}{b^4}","Not used",1,"(log(b + c*x^2)*(3*A*c - B*b))/(2*b^4) - (A/(2*b) + (3*x^2*(3*A*c - B*b))/(4*b^2) + (c*x^4*(3*A*c - B*b))/(2*b^3))/(b^2*x^2 + c^2*x^6 + 2*b*c*x^4) - (log(x)*(3*A*c - B*b))/b^4","B"
85,1,114,117,0.178791,"\text{Not used}","int((x^2*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{x^2\,\left(7\,A\,c-3\,B\,b\right)}{3\,b^2}-\frac{A}{3\,b}+\frac{5\,c^2\,x^6\,\left(7\,A\,c-3\,B\,b\right)}{8\,b^4}+\frac{25\,c\,x^4\,\left(7\,A\,c-3\,B\,b\right)}{24\,b^3}}{b^2\,x^3+2\,b\,c\,x^5+c^2\,x^7}+\frac{5\,\sqrt{c}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(7\,A\,c-3\,B\,b\right)}{8\,b^{9/2}}","Not used",1,"((x^2*(7*A*c - 3*B*b))/(3*b^2) - A/(3*b) + (5*c^2*x^6*(7*A*c - 3*B*b))/(8*b^4) + (25*c*x^4*(7*A*c - 3*B*b))/(24*b^3))/(b^2*x^3 + c^2*x^7 + 2*b*c*x^5) + (5*c^(1/2)*atan((c^(1/2)*x)/b^(1/2))*(7*A*c - 3*B*b))/(8*b^(9/2))","B"
86,1,131,121,0.173856,"\text{Not used}","int((x*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{x^2\,\left(2\,A\,c-B\,b\right)}{2\,b^2}-\frac{A}{4\,b}+\frac{3\,c^2\,x^6\,\left(2\,A\,c-B\,b\right)}{2\,b^4}+\frac{9\,c\,x^4\,\left(2\,A\,c-B\,b\right)}{4\,b^3}}{b^2\,x^4+2\,b\,c\,x^6+c^2\,x^8}-\frac{\ln\left(c\,x^2+b\right)\,\left(6\,A\,c^2-3\,B\,b\,c\right)}{2\,b^5}+\frac{\ln\left(x\right)\,\left(6\,A\,c^2-3\,B\,b\,c\right)}{b^5}","Not used",1,"((x^2*(2*A*c - B*b))/(2*b^2) - A/(4*b) + (3*c^2*x^6*(2*A*c - B*b))/(2*b^4) + (9*c*x^4*(2*A*c - B*b))/(4*b^3))/(b^2*x^4 + c^2*x^8 + 2*b*c*x^6) - (log(b + c*x^2)*(6*A*c^2 - 3*B*b*c))/(2*b^5) + (log(x)*(6*A*c^2 - 3*B*b*c))/b^5","B"
87,1,135,140,0.194708,"\text{Not used}","int((A + B*x^2)/(b*x^2 + c*x^4)^3,x)","-\frac{\frac{A}{5\,b}-\frac{x^2\,\left(9\,A\,c-5\,B\,b\right)}{15\,b^2}+\frac{35\,c^2\,x^6\,\left(9\,A\,c-5\,B\,b\right)}{24\,b^4}+\frac{7\,c^3\,x^8\,\left(9\,A\,c-5\,B\,b\right)}{8\,b^5}+\frac{7\,c\,x^4\,\left(9\,A\,c-5\,B\,b\right)}{15\,b^3}}{b^2\,x^5+2\,b\,c\,x^7+c^2\,x^9}-\frac{7\,c^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{b}}\right)\,\left(9\,A\,c-5\,B\,b\right)}{8\,b^{11/2}}","Not used",1,"- (A/(5*b) - (x^2*(9*A*c - 5*B*b))/(15*b^2) + (35*c^2*x^6*(9*A*c - 5*B*b))/(24*b^4) + (7*c^3*x^8*(9*A*c - 5*B*b))/(8*b^5) + (7*c*x^4*(9*A*c - 5*B*b))/(15*b^3))/(b^2*x^5 + c^2*x^9 + 2*b*c*x^7) - (7*c^(3/2)*atan((c^(1/2)*x)/b^(1/2))*(9*A*c - 5*B*b))/(8*b^(11/2))","B"
88,1,155,148,0.184684,"\text{Not used}","int((A + B*x^2)/(x*(b*x^2 + c*x^4)^3),x)","\frac{\ln\left(c\,x^2+b\right)\,\left(5\,A\,c^3-3\,B\,b\,c^2\right)}{b^6}-\frac{\frac{A}{6\,b}-\frac{x^2\,\left(5\,A\,c-3\,B\,b\right)}{12\,b^2}+\frac{3\,c^2\,x^6\,\left(5\,A\,c-3\,B\,b\right)}{2\,b^4}+\frac{c^3\,x^8\,\left(5\,A\,c-3\,B\,b\right)}{b^5}+\frac{c\,x^4\,\left(5\,A\,c-3\,B\,b\right)}{3\,b^3}}{b^2\,x^6+2\,b\,c\,x^8+c^2\,x^{10}}-\frac{\ln\left(x\right)\,\left(10\,A\,c^3-6\,B\,b\,c^2\right)}{b^6}","Not used",1,"(log(b + c*x^2)*(5*A*c^3 - 3*B*b*c^2))/b^6 - (A/(6*b) - (x^2*(5*A*c - 3*B*b))/(12*b^2) + (3*c^2*x^6*(5*A*c - 3*B*b))/(2*b^4) + (c^3*x^8*(5*A*c - 3*B*b))/b^5 + (c*x^4*(5*A*c - 3*B*b))/(3*b^3))/(b^2*x^6 + c^2*x^10 + 2*b*c*x^8) - (log(x)*(10*A*c^3 - 6*B*b*c^2))/b^6","B"
89,1,289,218,1.469967,"\text{Not used}","int(x^7*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{A\,x^4\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{10\,c}+\frac{B\,x^6\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{12\,c}-\frac{3\,B\,b\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{24\,c^2}\right)}{8\,c}-\frac{x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{4\,c}\right)}{10\,c}+\frac{x^4\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{5\,c}\right)}{8\,c}+\frac{7\,A\,b\,\left(\frac{5\,b\,\left(\frac{b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{24\,c^2}\right)}{8\,c}-\frac{x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{4\,c}\right)}{20\,c}","Not used",1,"(A*x^4*(b*x^2 + c*x^4)^(3/2))/(10*c) + (B*x^6*(b*x^2 + c*x^4)^(3/2))/(12*c) - (3*B*b*((7*b*((5*b*((b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(24*c^2)))/(8*c) - (x^2*(b*x^2 + c*x^4)^(3/2))/(4*c)))/(10*c) + (x^4*(b*x^2 + c*x^4)^(3/2))/(5*c)))/(8*c) + (7*A*b*((5*b*((b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(24*c^2)))/(8*c) - (x^2*(b*x^2 + c*x^4)^(3/2))/(4*c)))/(20*c)","B"
90,1,233,181,0.885971,"\text{Not used}","int(x^5*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{A\,x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{8\,c}-\frac{5\,A\,b\,\left(\frac{b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{24\,c^2}\right)}{16\,c}+\frac{B\,x^4\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{10\,c}+\frac{7\,B\,b\,\left(\frac{5\,b\,\left(\frac{b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{24\,c^2}\right)}{8\,c}-\frac{x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{4\,c}\right)}{20\,c}","Not used",1,"(A*x^2*(b*x^2 + c*x^4)^(3/2))/(8*c) - (5*A*b*((b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(24*c^2)))/(16*c) + (B*x^4*(b*x^2 + c*x^4)^(3/2))/(10*c) + (7*B*b*((5*b*((b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(24*c^2)))/(8*c) - (x^2*(b*x^2 + c*x^4)^(3/2))/(4*c)))/(20*c)","B"
91,1,177,125,0.735903,"\text{Not used}","int(x^3*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{B\,x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{8\,c}-\frac{5\,B\,b\,\left(\frac{b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{16\,c^{5/2}}+\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{24\,c^2}\right)}{16\,c}+\frac{A\,b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{32\,c^{5/2}}+\frac{A\,\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{48\,c^2}","Not used",1,"(B*x^2*(b*x^2 + c*x^4)^(3/2))/(8*c) - (5*B*b*((b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(16*c^(5/2)) + ((b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(24*c^2)))/(16*c) + (A*b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(32*c^(5/2)) + (A*(b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(48*c^2)","B"
92,1,140,107,0.752360,"\text{Not used}","int(x*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{A\,\left(\frac{b}{4\,c}+\frac{x^2}{2}\right)\,\sqrt{c\,x^4+b\,x^2}}{2}+\frac{B\,b^3\,\ln\left(b+2\,c\,x^2+2\,\sqrt{c}\,\left|x\right|\,\sqrt{c\,x^2+b}\right)}{32\,c^{5/2}}-\frac{A\,b^2\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{16\,c^{3/2}}+\frac{B\,\sqrt{c\,x^4+b\,x^2}\,\left(-3\,b^2+2\,b\,c\,x^2+8\,c^2\,x^4\right)}{48\,c^2}","Not used",1,"(A*(b/(4*c) + x^2/2)*(b*x^2 + c*x^4)^(1/2))/2 + (B*b^3*log(b + 2*c*x^2 + 2*c^(1/2)*abs(x)*(b + c*x^2)^(1/2)))/(32*c^(5/2)) - (A*b^2*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(16*c^(3/2)) + (B*(b*x^2 + c*x^4)^(1/2)*(8*c^2*x^4 - 3*b^2 + 2*b*c*x^2))/(48*c^2)","B"
93,1,117,100,0.608776,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x,x)","\frac{A\,\sqrt{c\,x^4+b\,x^2}}{2}+\frac{B\,\left(\frac{b}{4\,c}+\frac{x^2}{2}\right)\,\sqrt{c\,x^4+b\,x^2}}{2}+\frac{A\,b\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{4\,\sqrt{c}}-\frac{B\,b^2\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{16\,c^{3/2}}","Not used",1,"(A*(b*x^2 + c*x^4)^(1/2))/2 + (B*(b/(4*c) + x^2/2)*(b*x^2 + c*x^4)^(1/2))/2 + (A*b*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(4*c^(1/2)) - (B*b^2*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(16*c^(3/2))","B"
94,0,-1,97,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^3,x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^3} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^3, x)","F"
95,0,-1,80,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^5,x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^5} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^5, x)","F"
96,1,113,61,0.468718,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^7,x)","\frac{\left(A\,c^2+B\,b\,c\right)\,\sqrt{c\,x^4+b\,x^2}}{5\,b^2\,x^2}-\frac{\left(5\,B\,b^2+A\,c\,b\right)\,\sqrt{c\,x^4+b\,x^2}}{15\,b^2\,x^4}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{5\,x^6}-\frac{c\,\left(A\,c+8\,B\,b\right)\,\sqrt{c\,x^4+b\,x^2}}{15\,b^2\,x^2}","Not used",1,"((A*c^2 + B*b*c)*(b*x^2 + c*x^4)^(1/2))/(5*b^2*x^2) - ((5*B*b^2 + A*b*c)*(b*x^2 + c*x^4)^(1/2))/(15*b^2*x^4) - (A*(b*x^2 + c*x^4)^(1/2))/(5*x^6) - (c*(A*c + 8*B*b)*(b*x^2 + c*x^4)^(1/2))/(15*b^2*x^2)","B"
97,1,160,96,0.675736,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^9,x)","\frac{4\,A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b^2\,x^4}-\frac{B\,\sqrt{c\,x^4+b\,x^2}}{5\,x^6}-\frac{A\,c\,\sqrt{c\,x^4+b\,x^2}}{35\,b\,x^6}-\frac{B\,c\,\sqrt{c\,x^4+b\,x^2}}{15\,b\,x^4}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{7\,x^8}-\frac{8\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{105\,b^3\,x^2}+\frac{2\,B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{15\,b^2\,x^2}","Not used",1,"(4*A*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b^2*x^4) - (B*(b*x^2 + c*x^4)^(1/2))/(5*x^6) - (A*c*(b*x^2 + c*x^4)^(1/2))/(35*b*x^6) - (B*c*(b*x^2 + c*x^4)^(1/2))/(15*b*x^4) - (A*(b*x^2 + c*x^4)^(1/2))/(7*x^8) - (8*A*c^3*(b*x^2 + c*x^4)^(1/2))/(105*b^3*x^2) + (2*B*c^2*(b*x^2 + c*x^4)^(1/2))/(15*b^2*x^2)","B"
98,1,210,133,1.039447,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^11,x)","\frac{2\,A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b^2\,x^6}-\frac{B\,\sqrt{c\,x^4+b\,x^2}}{7\,x^8}-\frac{A\,c\,\sqrt{c\,x^4+b\,x^2}}{63\,b\,x^8}-\frac{B\,c\,\sqrt{c\,x^4+b\,x^2}}{35\,b\,x^6}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{9\,x^{10}}-\frac{8\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{315\,b^3\,x^4}+\frac{16\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{315\,b^4\,x^2}+\frac{4\,B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b^2\,x^4}-\frac{8\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{105\,b^3\,x^2}","Not used",1,"(2*A*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b^2*x^6) - (B*(b*x^2 + c*x^4)^(1/2))/(7*x^8) - (A*c*(b*x^2 + c*x^4)^(1/2))/(63*b*x^8) - (B*c*(b*x^2 + c*x^4)^(1/2))/(35*b*x^6) - (A*(b*x^2 + c*x^4)^(1/2))/(9*x^10) - (8*A*c^3*(b*x^2 + c*x^4)^(1/2))/(315*b^3*x^4) + (16*A*c^4*(b*x^2 + c*x^4)^(1/2))/(315*b^4*x^2) + (4*B*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b^2*x^4) - (8*B*c^3*(b*x^2 + c*x^4)^(1/2))/(105*b^3*x^2)","B"
99,1,260,170,1.406083,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^13,x)","\frac{8\,A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{693\,b^2\,x^8}-\frac{B\,\sqrt{c\,x^4+b\,x^2}}{9\,x^{10}}-\frac{A\,c\,\sqrt{c\,x^4+b\,x^2}}{99\,b\,x^{10}}-\frac{B\,c\,\sqrt{c\,x^4+b\,x^2}}{63\,b\,x^8}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{11\,x^{12}}-\frac{16\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{1155\,b^3\,x^6}+\frac{64\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{3465\,b^4\,x^4}-\frac{128\,A\,c^5\,\sqrt{c\,x^4+b\,x^2}}{3465\,b^5\,x^2}+\frac{2\,B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b^2\,x^6}-\frac{8\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{315\,b^3\,x^4}+\frac{16\,B\,c^4\,\sqrt{c\,x^4+b\,x^2}}{315\,b^4\,x^2}","Not used",1,"(8*A*c^2*(b*x^2 + c*x^4)^(1/2))/(693*b^2*x^8) - (B*(b*x^2 + c*x^4)^(1/2))/(9*x^10) - (A*c*(b*x^2 + c*x^4)^(1/2))/(99*b*x^10) - (B*c*(b*x^2 + c*x^4)^(1/2))/(63*b*x^8) - (A*(b*x^2 + c*x^4)^(1/2))/(11*x^12) - (16*A*c^3*(b*x^2 + c*x^4)^(1/2))/(1155*b^3*x^6) + (64*A*c^4*(b*x^2 + c*x^4)^(1/2))/(3465*b^4*x^4) - (128*A*c^5*(b*x^2 + c*x^4)^(1/2))/(3465*b^5*x^2) + (2*B*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b^2*x^6) - (8*B*c^3*(b*x^2 + c*x^4)^(1/2))/(315*b^3*x^4) + (16*B*c^4*(b*x^2 + c*x^4)^(1/2))/(315*b^4*x^2)","B"
100,1,103,131,0.251948,"\text{Not used}","int(x^4*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{B\,x^8}{9}-\frac{16\,B\,b^4-24\,A\,b^3\,c}{315\,c^4}+\frac{x^6\,\left(45\,A\,c^4+5\,B\,b\,c^3\right)}{315\,c^4}-\frac{4\,b^2\,x^2\,\left(3\,A\,c-2\,B\,b\right)}{315\,c^3}+\frac{b\,x^4\,\left(3\,A\,c-2\,B\,b\right)}{105\,c^2}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((B*x^8)/9 - (16*B*b^4 - 24*A*b^3*c)/(315*c^4) + (x^6*(45*A*c^4 + 5*B*b*c^3))/(315*c^4) - (4*b^2*x^2*(3*A*c - 2*B*b))/(315*c^3) + (b*x^4*(3*A*c - 2*B*b))/(105*c^2)))/x","B"
101,1,83,94,0.190528,"\text{Not used}","int(x^2*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{B\,x^6}{7}+\frac{8\,B\,b^3-14\,A\,b^2\,c}{105\,c^3}+\frac{x^4\,\left(21\,A\,c^3+3\,B\,b\,c^2\right)}{105\,c^3}+\frac{b\,x^2\,\left(7\,A\,c-4\,B\,b\right)}{105\,c^2}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((B*x^6)/7 + (8*B*b^3 - 14*A*b^2*c)/(105*c^3) + (x^4*(21*A*c^3 + 3*B*b*c^2))/(105*c^3) + (b*x^2*(7*A*c - 4*B*b))/(105*c^2)))/x","B"
102,1,60,61,0.152748,"\text{Not used}","int((A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{B\,x^4}{5}-\frac{2\,B\,b^2-5\,A\,b\,c}{15\,c^2}+\frac{x^2\,\left(5\,A\,c^2+B\,b\,c\right)}{15\,c^2}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((B*x^4)/5 - (2*B*b^2 - 5*A*b*c)/(15*c^2) + (x^2*(5*A*c^2 + B*b*c))/(15*c^2)))/x","B"
103,1,99,78,0.497841,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^2,x)","\frac{A\,\sqrt{c\,x^4+b\,x^2}}{x}+\frac{B\,\left(c\,x^2+b\right)\,\sqrt{c\,x^4+b\,x^2}}{3\,c\,x}+\frac{A\,\sqrt{b}\,\mathrm{asin}\left(\frac{\sqrt{b}\,1{}\mathrm{i}}{\sqrt{c}\,x}\right)\,\sqrt{c\,x^4+b\,x^2}\,1{}\mathrm{i}}{\sqrt{c}\,x^2\,\sqrt{\frac{b}{c\,x^2}+1}}","Not used",1,"(A*(b*x^2 + c*x^4)^(1/2))/x + (B*(b + c*x^2)*(b*x^2 + c*x^4)^(1/2))/(3*c*x) + (A*b^(1/2)*asin((b^(1/2)*1i)/(c^(1/2)*x))*(b*x^2 + c*x^4)^(1/2)*1i)/(c^(1/2)*x^2*(b/(c*x^2) + 1)^(1/2))","B"
104,0,-1,100,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^4,x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^4} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^4, x)","F"
105,0,-1,103,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^6,x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^6} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^6, x)","F"
106,0,-1,223,0.000000,"\text{Not used}","int(x^5*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int x^5\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^5*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
107,0,-1,167,0.000000,"\text{Not used}","int(x^3*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int x^3\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^3*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
108,1,236,148,1.010571,"\text{Not used}","int(x*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\frac{B\,{\left(c\,x^4+b\,x^2\right)}^{5/2}}{10\,c}+\frac{A\,{\left(c\,x^4+b\,x^2\right)}^{3/2}\,\left(c\,x^2+\frac{b}{2}\right)}{8\,c}-\frac{3\,A\,b^2\,\left(\left(\frac{b}{4\,c}+\frac{x^2}{2}\right)\,\sqrt{c\,x^4+b\,x^2}-\frac{b^2\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{8\,c^{3/2}}\right)}{32\,c}-\frac{B\,b\,\left(\frac{x^2\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{4}-\frac{3\,b^2\,\left(\frac{\left(2\,c\,x^2+b\right)\,\sqrt{c\,x^4+b\,x^2}}{4\,c}-\frac{b^2\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{8\,c^{3/2}}\right)}{16\,c}+\frac{b\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{8\,c}\right)}{4\,c}","Not used",1,"(B*(b*x^2 + c*x^4)^(5/2))/(10*c) + (A*(b*x^2 + c*x^4)^(3/2)*(b/2 + c*x^2))/(8*c) - (3*A*b^2*((b/(4*c) + x^2/2)*(b*x^2 + c*x^4)^(1/2) - (b^2*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(8*c^(3/2))))/(32*c) - (B*b*((x^2*(b*x^2 + c*x^4)^(3/2))/4 - (3*b^2*(((b + 2*c*x^2)*(b*x^2 + c*x^4)^(1/2))/(4*c) - (b^2*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(8*c^(3/2))))/(16*c) + (b*(b*x^2 + c*x^4)^(3/2))/(8*c)))/(4*c)","B"
109,0,-1,144,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x, x)","F"
110,0,-1,137,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^3,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^3} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^3, x)","F"
111,0,-1,128,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^5,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^5} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^5, x)","F"
112,0,-1,136,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^7,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^7} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^7, x)","F"
113,0,-1,104,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^9,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^9} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^9, x)","F"
114,1,156,61,1.031207,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^11,x)","\frac{2\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{35\,b^2\,x^2}-\frac{8\,A\,c\,\sqrt{c\,x^4+b\,x^2}}{35\,x^6}-\frac{B\,b\,\sqrt{c\,x^4+b\,x^2}}{5\,x^6}-\frac{2\,B\,c\,\sqrt{c\,x^4+b\,x^2}}{5\,x^4}-\frac{A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{35\,b\,x^4}-\frac{A\,b\,\sqrt{c\,x^4+b\,x^2}}{7\,x^8}-\frac{B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{5\,b\,x^2}","Not used",1,"(2*A*c^3*(b*x^2 + c*x^4)^(1/2))/(35*b^2*x^2) - (8*A*c*(b*x^2 + c*x^4)^(1/2))/(35*x^6) - (B*b*(b*x^2 + c*x^4)^(1/2))/(5*x^6) - (2*B*c*(b*x^2 + c*x^4)^(1/2))/(5*x^4) - (A*c^2*(b*x^2 + c*x^4)^(1/2))/(35*b*x^4) - (A*b*(b*x^2 + c*x^4)^(1/2))/(7*x^8) - (B*c^2*(b*x^2 + c*x^4)^(1/2))/(5*b*x^2)","B"
115,1,206,96,1.438961,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^13,x)","\frac{4\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{315\,b^2\,x^4}-\frac{10\,A\,c\,\sqrt{c\,x^4+b\,x^2}}{63\,x^8}-\frac{B\,b\,\sqrt{c\,x^4+b\,x^2}}{7\,x^8}-\frac{8\,B\,c\,\sqrt{c\,x^4+b\,x^2}}{35\,x^6}-\frac{A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b\,x^6}-\frac{A\,b\,\sqrt{c\,x^4+b\,x^2}}{9\,x^{10}}-\frac{8\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{315\,b^3\,x^2}-\frac{B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{35\,b\,x^4}+\frac{2\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{35\,b^2\,x^2}","Not used",1,"(4*A*c^3*(b*x^2 + c*x^4)^(1/2))/(315*b^2*x^4) - (10*A*c*(b*x^2 + c*x^4)^(1/2))/(63*x^8) - (B*b*(b*x^2 + c*x^4)^(1/2))/(7*x^8) - (8*B*c*(b*x^2 + c*x^4)^(1/2))/(35*x^6) - (A*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b*x^6) - (A*b*(b*x^2 + c*x^4)^(1/2))/(9*x^10) - (8*A*c^4*(b*x^2 + c*x^4)^(1/2))/(315*b^3*x^2) - (B*c^2*(b*x^2 + c*x^4)^(1/2))/(35*b*x^4) + (2*B*c^3*(b*x^2 + c*x^4)^(1/2))/(35*b^2*x^2)","B"
116,1,256,133,1.924650,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^15,x)","\frac{2\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{385\,b^2\,x^6}-\frac{4\,A\,c\,\sqrt{c\,x^4+b\,x^2}}{33\,x^{10}}-\frac{B\,b\,\sqrt{c\,x^4+b\,x^2}}{9\,x^{10}}-\frac{10\,B\,c\,\sqrt{c\,x^4+b\,x^2}}{63\,x^8}-\frac{A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{231\,b\,x^8}-\frac{A\,b\,\sqrt{c\,x^4+b\,x^2}}{11\,x^{12}}-\frac{8\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{1155\,b^3\,x^4}+\frac{16\,A\,c^5\,\sqrt{c\,x^4+b\,x^2}}{1155\,b^4\,x^2}-\frac{B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{105\,b\,x^6}+\frac{4\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{315\,b^2\,x^4}-\frac{8\,B\,c^4\,\sqrt{c\,x^4+b\,x^2}}{315\,b^3\,x^2}","Not used",1,"(2*A*c^3*(b*x^2 + c*x^4)^(1/2))/(385*b^2*x^6) - (4*A*c*(b*x^2 + c*x^4)^(1/2))/(33*x^10) - (B*b*(b*x^2 + c*x^4)^(1/2))/(9*x^10) - (10*B*c*(b*x^2 + c*x^4)^(1/2))/(63*x^8) - (A*c^2*(b*x^2 + c*x^4)^(1/2))/(231*b*x^8) - (A*b*(b*x^2 + c*x^4)^(1/2))/(11*x^12) - (8*A*c^4*(b*x^2 + c*x^4)^(1/2))/(1155*b^3*x^4) + (16*A*c^5*(b*x^2 + c*x^4)^(1/2))/(1155*b^4*x^2) - (B*c^2*(b*x^2 + c*x^4)^(1/2))/(105*b*x^6) + (4*B*c^3*(b*x^2 + c*x^4)^(1/2))/(315*b^2*x^4) - (8*B*c^4*(b*x^2 + c*x^4)^(1/2))/(315*b^3*x^2)","B"
117,1,306,170,2.502532,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^17,x)","\frac{8\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{3003\,b^2\,x^8}-\frac{14\,A\,c\,\sqrt{c\,x^4+b\,x^2}}{143\,x^{12}}-\frac{B\,b\,\sqrt{c\,x^4+b\,x^2}}{11\,x^{12}}-\frac{4\,B\,c\,\sqrt{c\,x^4+b\,x^2}}{33\,x^{10}}-\frac{A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{429\,b\,x^{10}}-\frac{A\,b\,\sqrt{c\,x^4+b\,x^2}}{13\,x^{14}}-\frac{16\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{5005\,b^3\,x^6}+\frac{64\,A\,c^5\,\sqrt{c\,x^4+b\,x^2}}{15015\,b^4\,x^4}-\frac{128\,A\,c^6\,\sqrt{c\,x^4+b\,x^2}}{15015\,b^5\,x^2}-\frac{B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{231\,b\,x^8}+\frac{2\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{385\,b^2\,x^6}-\frac{8\,B\,c^4\,\sqrt{c\,x^4+b\,x^2}}{1155\,b^3\,x^4}+\frac{16\,B\,c^5\,\sqrt{c\,x^4+b\,x^2}}{1155\,b^4\,x^2}","Not used",1,"(8*A*c^3*(b*x^2 + c*x^4)^(1/2))/(3003*b^2*x^8) - (14*A*c*(b*x^2 + c*x^4)^(1/2))/(143*x^12) - (B*b*(b*x^2 + c*x^4)^(1/2))/(11*x^12) - (4*B*c*(b*x^2 + c*x^4)^(1/2))/(33*x^10) - (A*c^2*(b*x^2 + c*x^4)^(1/2))/(429*b*x^10) - (A*b*(b*x^2 + c*x^4)^(1/2))/(13*x^14) - (16*A*c^4*(b*x^2 + c*x^4)^(1/2))/(5005*b^3*x^6) + (64*A*c^5*(b*x^2 + c*x^4)^(1/2))/(15015*b^4*x^4) - (128*A*c^6*(b*x^2 + c*x^4)^(1/2))/(15015*b^5*x^2) - (B*c^2*(b*x^2 + c*x^4)^(1/2))/(231*b*x^8) + (2*B*c^3*(b*x^2 + c*x^4)^(1/2))/(385*b^2*x^6) - (8*B*c^4*(b*x^2 + c*x^4)^(1/2))/(1155*b^3*x^4) + (16*B*c^5*(b*x^2 + c*x^4)^(1/2))/(1155*b^4*x^2)","B"
118,1,356,207,3.209529,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^19,x)","\frac{2\,A\,c^3\,\sqrt{c\,x^4+b\,x^2}}{1287\,b^2\,x^{10}}-\frac{16\,A\,c\,\sqrt{c\,x^4+b\,x^2}}{195\,x^{14}}-\frac{B\,b\,\sqrt{c\,x^4+b\,x^2}}{13\,x^{14}}-\frac{14\,B\,c\,\sqrt{c\,x^4+b\,x^2}}{143\,x^{12}}-\frac{A\,c^2\,\sqrt{c\,x^4+b\,x^2}}{715\,b\,x^{12}}-\frac{A\,b\,\sqrt{c\,x^4+b\,x^2}}{15\,x^{16}}-\frac{16\,A\,c^4\,\sqrt{c\,x^4+b\,x^2}}{9009\,b^3\,x^8}+\frac{32\,A\,c^5\,\sqrt{c\,x^4+b\,x^2}}{15015\,b^4\,x^6}-\frac{128\,A\,c^6\,\sqrt{c\,x^4+b\,x^2}}{45045\,b^5\,x^4}+\frac{256\,A\,c^7\,\sqrt{c\,x^4+b\,x^2}}{45045\,b^6\,x^2}-\frac{B\,c^2\,\sqrt{c\,x^4+b\,x^2}}{429\,b\,x^{10}}+\frac{8\,B\,c^3\,\sqrt{c\,x^4+b\,x^2}}{3003\,b^2\,x^8}-\frac{16\,B\,c^4\,\sqrt{c\,x^4+b\,x^2}}{5005\,b^3\,x^6}+\frac{64\,B\,c^5\,\sqrt{c\,x^4+b\,x^2}}{15015\,b^4\,x^4}-\frac{128\,B\,c^6\,\sqrt{c\,x^4+b\,x^2}}{15015\,b^5\,x^2}","Not used",1,"(2*A*c^3*(b*x^2 + c*x^4)^(1/2))/(1287*b^2*x^10) - (16*A*c*(b*x^2 + c*x^4)^(1/2))/(195*x^14) - (B*b*(b*x^2 + c*x^4)^(1/2))/(13*x^14) - (14*B*c*(b*x^2 + c*x^4)^(1/2))/(143*x^12) - (A*c^2*(b*x^2 + c*x^4)^(1/2))/(715*b*x^12) - (A*b*(b*x^2 + c*x^4)^(1/2))/(15*x^16) - (16*A*c^4*(b*x^2 + c*x^4)^(1/2))/(9009*b^3*x^8) + (32*A*c^5*(b*x^2 + c*x^4)^(1/2))/(15015*b^4*x^6) - (128*A*c^6*(b*x^2 + c*x^4)^(1/2))/(45045*b^5*x^4) + (256*A*c^7*(b*x^2 + c*x^4)^(1/2))/(45045*b^6*x^2) - (B*c^2*(b*x^2 + c*x^4)^(1/2))/(429*b*x^10) + (8*B*c^3*(b*x^2 + c*x^4)^(1/2))/(3003*b^2*x^8) - (16*B*c^4*(b*x^2 + c*x^4)^(1/2))/(5005*b^3*x^6) + (64*B*c^5*(b*x^2 + c*x^4)^(1/2))/(15015*b^4*x^4) - (128*B*c^6*(b*x^2 + c*x^4)^(1/2))/(15015*b^5*x^2)","B"
119,1,143,168,0.348875,"\text{Not used}","int(x^4*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{128\,B\,b^6-208\,A\,b^5\,c}{15015\,c^5}+\frac{x^{10}\,\left(1365\,A\,c^6+1470\,B\,b\,c^5\right)}{15015\,c^5}+\frac{B\,c\,x^{12}}{13}+\frac{b^2\,x^6\,\left(13\,A\,c-8\,B\,b\right)}{3003\,c^2}-\frac{2\,b^3\,x^4\,\left(13\,A\,c-8\,B\,b\right)}{5005\,c^3}+\frac{8\,b^4\,x^2\,\left(13\,A\,c-8\,B\,b\right)}{15015\,c^4}+\frac{b\,x^8\,\left(52\,A\,c+B\,b\right)}{429\,c}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((128*B*b^6 - 208*A*b^5*c)/(15015*c^5) + (x^10*(1365*A*c^6 + 1470*B*b*c^5))/(15015*c^5) + (B*c*x^12)/13 + (b^2*x^6*(13*A*c - 8*B*b))/(3003*c^2) - (2*b^3*x^4*(13*A*c - 8*B*b))/(5005*c^3) + (8*b^4*x^2*(13*A*c - 8*B*b))/(15015*c^4) + (b*x^8*(52*A*c + B*b))/(429*c)))/x","B"
120,1,124,131,0.292399,"\text{Not used}","int(x^2*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{x^8\,\left(385\,A\,c^5+420\,B\,b\,c^4\right)}{3465\,c^4}-\frac{48\,B\,b^5-88\,A\,b^4\,c}{3465\,c^4}+\frac{B\,c\,x^{10}}{11}+\frac{b^2\,x^4\,\left(11\,A\,c-6\,B\,b\right)}{1155\,c^2}-\frac{4\,b^3\,x^2\,\left(11\,A\,c-6\,B\,b\right)}{3465\,c^3}+\frac{b\,x^6\,\left(110\,A\,c+3\,B\,b\right)}{693\,c}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((x^8*(385*A*c^5 + 420*B*b*c^4))/(3465*c^4) - (48*B*b^5 - 88*A*b^4*c)/(3465*c^4) + (B*c*x^10)/11 + (b^2*x^4*(11*A*c - 6*B*b))/(1155*c^2) - (4*b^3*x^2*(11*A*c - 6*B*b))/(3465*c^3) + (b*x^6*(110*A*c + 3*B*b))/(693*c)))/x","B"
121,1,103,96,0.255300,"\text{Not used}","int((A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{8\,B\,b^4-18\,A\,b^3\,c}{315\,c^3}+\frac{x^6\,\left(45\,A\,c^4+50\,B\,b\,c^3\right)}{315\,c^3}+\frac{B\,c\,x^8}{9}+\frac{b^2\,x^2\,\left(9\,A\,c-4\,B\,b\right)}{315\,c^2}+\frac{b\,x^4\,\left(24\,A\,c+B\,b\right)}{105\,c}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((8*B*b^4 - 18*A*b^3*c)/(315*c^3) + (x^6*(45*A*c^4 + 50*B*b*c^3))/(315*c^3) + (B*c*x^8)/9 + (b^2*x^2*(9*A*c - 4*B*b))/(315*c^2) + (b*x^4*(24*A*c + B*b))/(105*c)))/x","B"
122,1,83,61,0.228547,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^2,x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{x^4\,\left(7\,A\,c^3+8\,B\,b\,c^2\right)}{35\,c^2}-\frac{2\,B\,b^3-7\,A\,b^2\,c}{35\,c^2}+\frac{B\,c\,x^6}{7}+\frac{b\,x^2\,\left(14\,A\,c+B\,b\right)}{35\,c}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((x^4*(7*A*c^3 + 8*B*b*c^2))/(35*c^2) - (2*B*b^3 - 7*A*b^2*c)/(35*c^2) + (B*c*x^6)/7 + (b*x^2*(14*A*c + B*b))/(35*c)))/x","B"
123,0,-1,102,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^4,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^4} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^4, x)","F"
124,0,-1,133,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^6,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^6} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^6, x)","F"
125,0,-1,135,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^8,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^8} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^8, x)","F"
126,0,-1,140,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^10,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{10}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^10, x)","F"
127,0,-1,177,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^12,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{12}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^12, x)","F"
128,0,-1,214,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^14,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{14}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^14, x)","F"
129,0,-1,251,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^16,x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{16}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^16, x)","F"
130,0,-1,176,0.000000,"\text{Not used}","int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^7\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
131,0,-1,139,0.000000,"\text{Not used}","int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^5\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
132,0,-1,83,0.000000,"\text{Not used}","int((x^3*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^3\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^3*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
133,1,89,66,0.813780,"\text{Not used}","int((x*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\frac{B\,\sqrt{c\,x^4+b\,x^2}}{2\,c}+\frac{A\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{2\,\sqrt{c}}-\frac{B\,b\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{4\,c^{3/2}}","Not used",1,"(B*(b*x^2 + c*x^4)^(1/2))/(2*c) + (A*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(2*c^(1/2)) - (B*b*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(4*c^(3/2))","B"
134,1,57,57,0.509236,"\text{Not used}","int((A + B*x^2)/(x*(b*x^2 + c*x^4)^(1/2)),x)","\frac{B\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{2\,\sqrt{c}}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{b\,x^2}","Not used",1,"(B*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(2*c^(1/2)) - (A*(b*x^2 + c*x^4)^(1/2))/(b*x^2)","B"
135,1,39,61,0.196738,"\text{Not used}","int((A + B*x^2)/(x^3*(b*x^2 + c*x^4)^(1/2)),x)","-\frac{\sqrt{c\,x^4+b\,x^2}\,\left(A\,b-2\,A\,c\,x^2+3\,B\,b\,x^2\right)}{3\,b^2\,x^4}","Not used",1,"-((b*x^2 + c*x^4)^(1/2)*(A*b - 2*A*c*x^2 + 3*B*b*x^2))/(3*b^2*x^4)","B"
136,1,62,96,0.250905,"\text{Not used}","int((A + B*x^2)/(x^5*(b*x^2 + c*x^4)^(1/2)),x)","-\frac{\sqrt{c\,x^4+b\,x^2}\,\left(5\,B\,b^2\,x^2+3\,A\,b^2-10\,B\,b\,c\,x^4-4\,A\,b\,c\,x^2+8\,A\,c^2\,x^4\right)}{15\,b^3\,x^6}","Not used",1,"-((b*x^2 + c*x^4)^(1/2)*(3*A*b^2 + 5*B*b^2*x^2 + 8*A*c^2*x^4 - 4*A*b*c*x^2 - 10*B*b*c*x^4))/(15*b^3*x^6)","B"
137,1,121,133,0.301197,"\text{Not used}","int((A + B*x^2)/(x^7*(b*x^2 + c*x^4)^(1/2)),x)","\frac{\left(6\,A\,c-7\,B\,b\right)\,\sqrt{c\,x^4+b\,x^2}}{35\,b^2\,x^6}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{7\,b\,x^8}-\frac{\left(24\,A\,c^2-28\,B\,b\,c\right)\,\sqrt{c\,x^4+b\,x^2}}{105\,b^3\,x^4}+\frac{\left(48\,A\,c^3-56\,B\,b\,c^2\right)\,\sqrt{c\,x^4+b\,x^2}}{105\,b^4\,x^2}","Not used",1,"((6*A*c - 7*B*b)*(b*x^2 + c*x^4)^(1/2))/(35*b^2*x^6) - (A*(b*x^2 + c*x^4)^(1/2))/(7*b*x^8) - ((24*A*c^2 - 28*B*b*c)*(b*x^2 + c*x^4)^(1/2))/(105*b^3*x^4) + ((48*A*c^3 - 56*B*b*c^2)*(b*x^2 + c*x^4)^(1/2))/(105*b^4*x^2)","B"
138,1,156,170,0.321751,"\text{Not used}","int((A + B*x^2)/(x^9*(b*x^2 + c*x^4)^(1/2)),x)","\frac{\left(8\,A\,c-9\,B\,b\right)\,\sqrt{c\,x^4+b\,x^2}}{63\,b^2\,x^8}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{9\,b\,x^{10}}-\frac{\left(16\,A\,c^2-18\,B\,b\,c\right)\,\sqrt{c\,x^4+b\,x^2}}{105\,b^3\,x^6}+\frac{\left(64\,A\,c^3-72\,B\,b\,c^2\right)\,\sqrt{c\,x^4+b\,x^2}}{315\,b^4\,x^4}-\frac{\left(128\,A\,c^4-144\,B\,b\,c^3\right)\,\sqrt{c\,x^4+b\,x^2}}{315\,b^5\,x^2}","Not used",1,"((8*A*c - 9*B*b)*(b*x^2 + c*x^4)^(1/2))/(63*b^2*x^8) - (A*(b*x^2 + c*x^4)^(1/2))/(9*b*x^10) - ((16*A*c^2 - 18*B*b*c)*(b*x^2 + c*x^4)^(1/2))/(105*b^3*x^6) + ((64*A*c^3 - 72*B*b*c^2)*(b*x^2 + c*x^4)^(1/2))/(315*b^4*x^4) - ((128*A*c^4 - 144*B*b*c^3)*(b*x^2 + c*x^4)^(1/2))/(315*b^5*x^2)","B"
139,1,87,131,0.264618,"\text{Not used}","int((x^6*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","-\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{48\,B\,b^3-56\,A\,b^2\,c}{105\,c^4}-\frac{B\,x^6}{7\,c}-\frac{x^4\,\left(21\,A\,c^3-18\,B\,b\,c^2\right)}{105\,c^4}+\frac{4\,b\,x^2\,\left(7\,A\,c-6\,B\,b\right)}{105\,c^3}\right)}{x}","Not used",1,"-((b*x^2 + c*x^4)^(1/2)*((48*B*b^3 - 56*A*b^2*c)/(105*c^4) - (B*x^6)/(7*c) - (x^4*(21*A*c^3 - 18*B*b*c^2))/(105*c^4) + (4*b*x^2*(7*A*c - 6*B*b))/(105*c^3)))/x","B"
140,1,64,94,0.227554,"\text{Not used}","int((x^4*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(\frac{8\,B\,b^2-10\,A\,b\,c}{15\,c^3}+\frac{x^2\,\left(5\,A\,c^2-4\,B\,b\,c\right)}{15\,c^3}+\frac{B\,x^4}{5\,c}\right)}{x}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*((8*B*b^2 - 10*A*b*c)/(15*c^3) + (x^2*(5*A*c^2 - 4*B*b*c))/(15*c^3) + (B*x^4)/(5*c)))/x","B"
141,1,41,59,0.186560,"\text{Not used}","int((x^2*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\frac{\left(\frac{3\,A\,c-2\,B\,b}{3\,c^2}+\frac{B\,x^2}{3\,c}\right)\,\sqrt{c\,x^4+b\,x^2}}{x}","Not used",1,"(((3*A*c - 2*B*b)/(3*c^2) + (B*x^2)/(3*c))*(b*x^2 + c*x^4)^(1/2))/x","B"
142,0,-1,55,0.000000,"\text{Not used}","int((A + B*x^2)/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(b*x^2 + c*x^4)^(1/2), x)","F"
143,0,-1,68,0.000000,"\text{Not used}","int((A + B*x^2)/(x^2*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^2\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^2*(b*x^2 + c*x^4)^(1/2)), x)","F"
144,0,-1,103,0.000000,"\text{Not used}","int((A + B*x^2)/(x^4*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^4\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^4*(b*x^2 + c*x^4)^(1/2)), x)","F"
145,0,-1,184,0.000000,"\text{Not used}","int((x^9*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^9\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^9*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
146,0,-1,147,0.000000,"\text{Not used}","int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^7\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^7*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
147,0,-1,112,0.000000,"\text{Not used}","int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^5\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^5*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
148,1,78,67,0.633008,"\text{Not used}","int((x^3*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\frac{B\,\ln\left(\frac{c\,x^2+\frac{b}{2}}{\sqrt{c}}+\sqrt{c\,x^4+b\,x^2}\right)}{2\,c^{3/2}}+\frac{A\,x^2}{b\,\sqrt{c\,x^4+b\,x^2}}-\frac{B\,x^2}{c\,\sqrt{c\,x^4+b\,x^2}}","Not used",1,"(B*log((b/2 + c*x^2)/c^(1/2) + (b*x^2 + c*x^4)^(1/2)))/(2*c^(3/2)) + (A*x^2)/(b*(b*x^2 + c*x^4)^(1/2)) - (B*x^2)/(c*(b*x^2 + c*x^4)^(1/2))","B"
149,1,53,37,0.180579,"\text{Not used}","int((x*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","-\frac{\left(\frac{A}{b}-x^2\,\left(\frac{B}{b}-\frac{2\,A\,c}{b^2}\right)\right)\,\sqrt{c\,x^4+b\,x^2}}{x\,\left(c\,x^3+b\,x\right)}","Not used",1,"-((A/b - x^2*(B/b - (2*A*c)/b^2))*(b*x^2 + c*x^4)^(1/2))/(x*(b*x + c*x^3))","B"
150,1,70,66,0.274050,"\text{Not used}","int((A + B*x^2)/(x*(b*x^2 + c*x^4)^(3/2)),x)","-\frac{\sqrt{c\,x^4+b\,x^2}\,\left(3\,B\,b^2\,x^2+A\,b^2+6\,B\,b\,c\,x^4-4\,A\,b\,c\,x^2-8\,A\,c^2\,x^4\right)}{3\,b^3\,x^4\,\left(c\,x^2+b\right)}","Not used",1,"-((b*x^2 + c*x^4)^(1/2)*(A*b^2 + 3*B*b^2*x^2 - 8*A*c^2*x^4 - 4*A*b*c*x^2 + 6*B*b*c*x^4))/(3*b^3*x^4*(b + c*x^2))","B"
151,1,95,101,0.424414,"\text{Not used}","int((A + B*x^2)/(x^3*(b*x^2 + c*x^4)^(3/2)),x)","-\frac{\sqrt{c\,x^4+b\,x^2}\,\left(5\,B\,b^3\,x^2+3\,A\,b^3-20\,B\,b^2\,c\,x^4-6\,A\,b^2\,c\,x^2-40\,B\,b\,c^2\,x^6+24\,A\,b\,c^2\,x^4+48\,A\,c^3\,x^6\right)}{15\,b^4\,x^6\,\left(c\,x^2+b\right)}","Not used",1,"-((b*x^2 + c*x^4)^(1/2)*(3*A*b^3 + 5*B*b^3*x^2 + 48*A*c^3*x^6 - 6*A*b^2*c*x^2 + 24*A*b*c^2*x^4 - 20*B*b^2*c*x^4 - 40*B*b*c^2*x^6))/(15*b^4*x^6*(b + c*x^2))","B"
152,1,173,138,0.558831,"\text{Not used}","int((A + B*x^2)/(x^5*(b*x^2 + c*x^4)^(3/2)),x)","-\frac{\left(7\,B\,b^2-13\,A\,b\,c\right)\,\sqrt{c\,x^4+b\,x^2}}{35\,b^4\,x^6}-\frac{\left(x^2\,\left(\frac{58\,A\,c^4-42\,B\,b\,c^3}{35\,b^5}-\frac{2\,c^3\,\left(93\,A\,c-77\,B\,b\right)}{35\,b^5}\right)-\frac{c^2\,\left(93\,A\,c-77\,B\,b\right)}{35\,b^4}\right)\,\sqrt{c\,x^4+b\,x^2}}{x^2\,\left(c\,x^2+b\right)}-\frac{A\,\sqrt{c\,x^4+b\,x^2}}{7\,b^2\,x^8}-\frac{c\,\left(29\,A\,c-21\,B\,b\right)\,\sqrt{c\,x^4+b\,x^2}}{35\,b^4\,x^4}","Not used",1,"- ((7*B*b^2 - 13*A*b*c)*(b*x^2 + c*x^4)^(1/2))/(35*b^4*x^6) - ((x^2*((58*A*c^4 - 42*B*b*c^3)/(35*b^5) - (2*c^3*(93*A*c - 77*B*b))/(35*b^5)) - (c^2*(93*A*c - 77*B*b))/(35*b^4))*(b*x^2 + c*x^4)^(1/2))/(x^2*(b + c*x^2)) - (A*(b*x^2 + c*x^4)^(1/2))/(7*b^2*x^8) - (c*(29*A*c - 21*B*b)*(b*x^2 + c*x^4)^(1/2))/(35*b^4*x^4)","B"
153,1,92,139,0.397227,"\text{Not used}","int((x^8*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(48\,B\,b^3+24\,B\,b^2\,c\,x^2-40\,A\,b^2\,c-6\,B\,b\,c^2\,x^4-20\,A\,b\,c^2\,x^2+3\,B\,c^3\,x^6+5\,A\,c^3\,x^4\right)}{15\,c^4\,x\,\left(c\,x^2+b\right)}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*(48*B*b^3 + 5*A*c^3*x^4 + 3*B*c^3*x^6 - 40*A*b^2*c - 20*A*b*c^2*x^2 + 24*B*b^2*c*x^2 - 6*B*b*c^2*x^4))/(15*c^4*x*(b + c*x^2))","B"
154,1,67,104,0.279849,"\text{Not used}","int((x^6*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(-8\,B\,b^2-4\,B\,b\,c\,x^2+6\,A\,b\,c+B\,c^2\,x^4+3\,A\,c^2\,x^2\right)}{3\,c^3\,x\,\left(c\,x^2+b\right)}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*(3*A*c^2*x^2 - 8*B*b^2 + B*c^2*x^4 + 6*A*b*c - 4*B*b*c*x^2))/(3*c^3*x*(b + c*x^2))","B"
155,1,44,69,0.209671,"\text{Not used}","int((x^4*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\frac{\sqrt{c\,x^4+b\,x^2}\,\left(B\,c\,x^2-A\,c+2\,B\,b\right)}{c^2\,x\,\left(c\,x^2+b\right)}","Not used",1,"((b*x^2 + c*x^4)^(1/2)*(2*B*b - A*c + B*c*x^2))/(c^2*x*(b + c*x^2))","B"
156,0,-1,64,0.000000,"\text{Not used}","int((x^2*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^2\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^2*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
157,0,-1,142,0.000000,"\text{Not used}","int((A + B*x^2)/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(b*x^2 + c*x^4)^(3/2), x)","F"
158,1,89,137,1.263410,"\text{Not used}","int((A + B*x^2)/(x^2*(b*x^2 + c*x^4)^(3/2)),x)","-\frac{A\,{\left(\frac{b}{c\,x^2}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{7}{2};\ \frac{9}{2};\ -\frac{b}{c\,x^2}\right)}{7\,x\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}-\frac{B\,x\,{\left(\frac{b}{c\,x^2}+1\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{2},\frac{5}{2};\ \frac{7}{2};\ -\frac{b}{c\,x^2}\right)}{5\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}","Not used",1,"- (A*(b/(c*x^2) + 1)^(3/2)*hypergeom([3/2, 7/2], 9/2, -b/(c*x^2)))/(7*x*(b*x^2 + c*x^4)^(3/2)) - (B*x*(b/(c*x^2) + 1)^(3/2)*hypergeom([3/2, 5/2], 7/2, -b/(c*x^2)))/(5*(b*x^2 + c*x^4)^(3/2))","B"
159,1,31,39,0.056476,"\text{Not used}","int(x^(7/2)*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{2\,x^{13/2}\,\left(357\,A\,b+273\,A\,c\,x^2+273\,B\,b\,x^2+221\,B\,c\,x^4\right)}{4641}","Not used",1,"(2*x^(13/2)*(357*A*b + 273*A*c*x^2 + 273*B*b*x^2 + 221*B*c*x^4))/4641","B"
160,1,31,39,0.105948,"\text{Not used}","int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{2\,x^{11/2}\,\left(285\,A\,b+209\,A\,c\,x^2+209\,B\,b\,x^2+165\,B\,c\,x^4\right)}{3135}","Not used",1,"(2*x^(11/2)*(285*A*b + 209*A*c*x^2 + 209*B*b*x^2 + 165*B*c*x^4))/3135","B"
161,1,31,39,0.043770,"\text{Not used}","int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{2\,x^{9/2}\,\left(221\,A\,b+153\,A\,c\,x^2+153\,B\,b\,x^2+117\,B\,c\,x^4\right)}{1989}","Not used",1,"(2*x^(9/2)*(221*A*b + 153*A*c*x^2 + 153*B*b*x^2 + 117*B*c*x^4))/1989","B"
162,1,31,39,0.041981,"\text{Not used}","int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4),x)","\frac{2\,x^{7/2}\,\left(165\,A\,b+105\,A\,c\,x^2+105\,B\,b\,x^2+77\,B\,c\,x^4\right)}{1155}","Not used",1,"(2*x^(7/2)*(165*A*b + 105*A*c*x^2 + 105*B*b*x^2 + 77*B*c*x^4))/1155","B"
163,1,31,39,0.044155,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^(1/2),x)","\frac{2\,x^{5/2}\,\left(117\,A\,b+65\,A\,c\,x^2+65\,B\,b\,x^2+45\,B\,c\,x^4\right)}{585}","Not used",1,"(2*x^(5/2)*(117*A*b + 65*A*c*x^2 + 65*B*b*x^2 + 45*B*c*x^4))/585","B"
164,1,31,39,0.042698,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^(3/2),x)","\frac{2\,x^{3/2}\,\left(77\,A\,b+33\,A\,c\,x^2+33\,B\,b\,x^2+21\,B\,c\,x^4\right)}{231}","Not used",1,"(2*x^(3/2)*(77*A*b + 33*A*c*x^2 + 33*B*b*x^2 + 21*B*c*x^4))/231","B"
165,1,31,37,0.042358,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^(5/2),x)","\frac{2\,\sqrt{x}\,\left(45\,A\,b+9\,A\,c\,x^2+9\,B\,b\,x^2+5\,B\,c\,x^4\right)}{45}","Not used",1,"(2*x^(1/2)*(45*A*b + 9*A*c*x^2 + 9*B*b*x^2 + 5*B*c*x^4))/45","B"
166,1,31,37,0.102809,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4))/x^(7/2),x)","\frac{14\,A\,c\,x^2-42\,A\,b+14\,B\,b\,x^2+6\,B\,c\,x^4}{21\,\sqrt{x}}","Not used",1,"(14*A*c*x^2 - 42*A*b + 14*B*b*x^2 + 6*B*c*x^4)/(21*x^(1/2))","B"
167,1,51,63,0.129575,"\text{Not used}","int(x^(7/2)*(A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^{21/2}\,\left(\frac{2\,B\,b^2}{21}+\frac{4\,A\,c\,b}{21}\right)+x^{25/2}\,\left(\frac{2\,A\,c^2}{25}+\frac{4\,B\,b\,c}{25}\right)+\frac{2\,A\,b^2\,x^{17/2}}{17}+\frac{2\,B\,c^2\,x^{29/2}}{29}","Not used",1,"x^(21/2)*((2*B*b^2)/21 + (4*A*b*c)/21) + x^(25/2)*((2*A*c^2)/25 + (4*B*b*c)/25) + (2*A*b^2*x^(17/2))/17 + (2*B*c^2*x^(29/2))/29","B"
168,1,51,63,0.050227,"\text{Not used}","int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^{19/2}\,\left(\frac{2\,B\,b^2}{19}+\frac{4\,A\,c\,b}{19}\right)+x^{23/2}\,\left(\frac{2\,A\,c^2}{23}+\frac{4\,B\,b\,c}{23}\right)+\frac{2\,A\,b^2\,x^{15/2}}{15}+\frac{2\,B\,c^2\,x^{27/2}}{27}","Not used",1,"x^(19/2)*((2*B*b^2)/19 + (4*A*b*c)/19) + x^(23/2)*((2*A*c^2)/23 + (4*B*b*c)/23) + (2*A*b^2*x^(15/2))/15 + (2*B*c^2*x^(27/2))/27","B"
169,1,51,63,0.048291,"\text{Not used}","int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^{17/2}\,\left(\frac{2\,B\,b^2}{17}+\frac{4\,A\,c\,b}{17}\right)+x^{21/2}\,\left(\frac{2\,A\,c^2}{21}+\frac{4\,B\,b\,c}{21}\right)+\frac{2\,A\,b^2\,x^{13/2}}{13}+\frac{2\,B\,c^2\,x^{25/2}}{25}","Not used",1,"x^(17/2)*((2*B*b^2)/17 + (4*A*b*c)/17) + x^(21/2)*((2*A*c^2)/21 + (4*B*b*c)/21) + (2*A*b^2*x^(13/2))/13 + (2*B*c^2*x^(25/2))/25","B"
170,1,51,63,0.048729,"\text{Not used}","int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^{15/2}\,\left(\frac{2\,B\,b^2}{15}+\frac{4\,A\,c\,b}{15}\right)+x^{19/2}\,\left(\frac{2\,A\,c^2}{19}+\frac{4\,B\,b\,c}{19}\right)+\frac{2\,A\,b^2\,x^{11/2}}{11}+\frac{2\,B\,c^2\,x^{23/2}}{23}","Not used",1,"x^(15/2)*((2*B*b^2)/15 + (4*A*b*c)/15) + x^(19/2)*((2*A*c^2)/19 + (4*B*b*c)/19) + (2*A*b^2*x^(11/2))/11 + (2*B*c^2*x^(23/2))/23","B"
171,1,51,63,0.048368,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^(1/2),x)","x^{13/2}\,\left(\frac{2\,B\,b^2}{13}+\frac{4\,A\,c\,b}{13}\right)+x^{17/2}\,\left(\frac{2\,A\,c^2}{17}+\frac{4\,B\,b\,c}{17}\right)+\frac{2\,A\,b^2\,x^{9/2}}{9}+\frac{2\,B\,c^2\,x^{21/2}}{21}","Not used",1,"x^(13/2)*((2*B*b^2)/13 + (4*A*b*c)/13) + x^(17/2)*((2*A*c^2)/17 + (4*B*b*c)/17) + (2*A*b^2*x^(9/2))/9 + (2*B*c^2*x^(21/2))/21","B"
172,1,51,63,0.048259,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^(3/2),x)","x^{11/2}\,\left(\frac{2\,B\,b^2}{11}+\frac{4\,A\,c\,b}{11}\right)+x^{15/2}\,\left(\frac{2\,A\,c^2}{15}+\frac{4\,B\,b\,c}{15}\right)+\frac{2\,A\,b^2\,x^{7/2}}{7}+\frac{2\,B\,c^2\,x^{19/2}}{19}","Not used",1,"x^(11/2)*((2*B*b^2)/11 + (4*A*b*c)/11) + x^(15/2)*((2*A*c^2)/15 + (4*B*b*c)/15) + (2*A*b^2*x^(7/2))/7 + (2*B*c^2*x^(19/2))/19","B"
173,1,51,63,0.049394,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^(5/2),x)","x^{9/2}\,\left(\frac{2\,B\,b^2}{9}+\frac{4\,A\,c\,b}{9}\right)+x^{13/2}\,\left(\frac{2\,A\,c^2}{13}+\frac{4\,B\,b\,c}{13}\right)+\frac{2\,A\,b^2\,x^{5/2}}{5}+\frac{2\,B\,c^2\,x^{17/2}}{17}","Not used",1,"x^(9/2)*((2*B*b^2)/9 + (4*A*b*c)/9) + x^(13/2)*((2*A*c^2)/13 + (4*B*b*c)/13) + (2*A*b^2*x^(5/2))/5 + (2*B*c^2*x^(17/2))/17","B"
174,1,51,63,0.051433,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^2)/x^(7/2),x)","x^{7/2}\,\left(\frac{2\,B\,b^2}{7}+\frac{4\,A\,c\,b}{7}\right)+x^{11/2}\,\left(\frac{2\,A\,c^2}{11}+\frac{4\,B\,b\,c}{11}\right)+\frac{2\,A\,b^2\,x^{3/2}}{3}+\frac{2\,B\,c^2\,x^{15/2}}{15}","Not used",1,"x^(7/2)*((2*B*b^2)/7 + (4*A*b*c)/7) + x^(11/2)*((2*A*c^2)/11 + (4*B*b*c)/11) + (2*A*b^2*x^(3/2))/3 + (2*B*c^2*x^(15/2))/15","B"
175,1,69,85,0.102005,"\text{Not used}","int(x^(7/2)*(A + B*x^2)*(b*x^2 + c*x^4)^3,x)","x^{25/2}\,\left(\frac{2\,B\,b^3}{25}+\frac{6\,A\,c\,b^2}{25}\right)+x^{33/2}\,\left(\frac{2\,A\,c^3}{33}+\frac{2\,B\,b\,c^2}{11}\right)+\frac{2\,A\,b^3\,x^{21/2}}{21}+\frac{2\,B\,c^3\,x^{37/2}}{37}+\frac{6\,b\,c\,x^{29/2}\,\left(A\,c+B\,b\right)}{29}","Not used",1,"x^(25/2)*((2*B*b^3)/25 + (6*A*b^2*c)/25) + x^(33/2)*((2*A*c^3)/33 + (2*B*b*c^2)/11) + (2*A*b^3*x^(21/2))/21 + (2*B*c^3*x^(37/2))/37 + (6*b*c*x^(29/2)*(A*c + B*b))/29","B"
176,1,69,85,0.033468,"\text{Not used}","int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^3,x)","x^{23/2}\,\left(\frac{2\,B\,b^3}{23}+\frac{6\,A\,c\,b^2}{23}\right)+x^{31/2}\,\left(\frac{2\,A\,c^3}{31}+\frac{6\,B\,b\,c^2}{31}\right)+\frac{2\,A\,b^3\,x^{19/2}}{19}+\frac{2\,B\,c^3\,x^{35/2}}{35}+\frac{2\,b\,c\,x^{27/2}\,\left(A\,c+B\,b\right)}{9}","Not used",1,"x^(23/2)*((2*B*b^3)/23 + (6*A*b^2*c)/23) + x^(31/2)*((2*A*c^3)/31 + (6*B*b*c^2)/31) + (2*A*b^3*x^(19/2))/19 + (2*B*c^3*x^(35/2))/35 + (2*b*c*x^(27/2)*(A*c + B*b))/9","B"
177,1,69,85,0.035113,"\text{Not used}","int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^3,x)","x^{21/2}\,\left(\frac{2\,B\,b^3}{21}+\frac{2\,A\,c\,b^2}{7}\right)+x^{29/2}\,\left(\frac{2\,A\,c^3}{29}+\frac{6\,B\,b\,c^2}{29}\right)+\frac{2\,A\,b^3\,x^{17/2}}{17}+\frac{2\,B\,c^3\,x^{33/2}}{33}+\frac{6\,b\,c\,x^{25/2}\,\left(A\,c+B\,b\right)}{25}","Not used",1,"x^(21/2)*((2*B*b^3)/21 + (2*A*b^2*c)/7) + x^(29/2)*((2*A*c^3)/29 + (6*B*b*c^2)/29) + (2*A*b^3*x^(17/2))/17 + (2*B*c^3*x^(33/2))/33 + (6*b*c*x^(25/2)*(A*c + B*b))/25","B"
178,1,69,85,0.033374,"\text{Not used}","int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^3,x)","x^{19/2}\,\left(\frac{2\,B\,b^3}{19}+\frac{6\,A\,c\,b^2}{19}\right)+x^{27/2}\,\left(\frac{2\,A\,c^3}{27}+\frac{2\,B\,b\,c^2}{9}\right)+\frac{2\,A\,b^3\,x^{15/2}}{15}+\frac{2\,B\,c^3\,x^{31/2}}{31}+\frac{6\,b\,c\,x^{23/2}\,\left(A\,c+B\,b\right)}{23}","Not used",1,"x^(19/2)*((2*B*b^3)/19 + (6*A*b^2*c)/19) + x^(27/2)*((2*A*c^3)/27 + (2*B*b*c^2)/9) + (2*A*b^3*x^(15/2))/15 + (2*B*c^3*x^(31/2))/31 + (6*b*c*x^(23/2)*(A*c + B*b))/23","B"
179,1,69,85,0.032999,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^(1/2),x)","x^{17/2}\,\left(\frac{2\,B\,b^3}{17}+\frac{6\,A\,c\,b^2}{17}\right)+x^{25/2}\,\left(\frac{2\,A\,c^3}{25}+\frac{6\,B\,b\,c^2}{25}\right)+\frac{2\,A\,b^3\,x^{13/2}}{13}+\frac{2\,B\,c^3\,x^{29/2}}{29}+\frac{2\,b\,c\,x^{21/2}\,\left(A\,c+B\,b\right)}{7}","Not used",1,"x^(17/2)*((2*B*b^3)/17 + (6*A*b^2*c)/17) + x^(25/2)*((2*A*c^3)/25 + (6*B*b*c^2)/25) + (2*A*b^3*x^(13/2))/13 + (2*B*c^3*x^(29/2))/29 + (2*b*c*x^(21/2)*(A*c + B*b))/7","B"
180,1,69,85,0.033186,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^(3/2),x)","x^{15/2}\,\left(\frac{2\,B\,b^3}{15}+\frac{2\,A\,c\,b^2}{5}\right)+x^{23/2}\,\left(\frac{2\,A\,c^3}{23}+\frac{6\,B\,b\,c^2}{23}\right)+\frac{2\,A\,b^3\,x^{11/2}}{11}+\frac{2\,B\,c^3\,x^{27/2}}{27}+\frac{6\,b\,c\,x^{19/2}\,\left(A\,c+B\,b\right)}{19}","Not used",1,"x^(15/2)*((2*B*b^3)/15 + (2*A*b^2*c)/5) + x^(23/2)*((2*A*c^3)/23 + (6*B*b*c^2)/23) + (2*A*b^3*x^(11/2))/11 + (2*B*c^3*x^(27/2))/27 + (6*b*c*x^(19/2)*(A*c + B*b))/19","B"
181,1,69,85,0.036358,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^(5/2),x)","x^{13/2}\,\left(\frac{2\,B\,b^3}{13}+\frac{6\,A\,c\,b^2}{13}\right)+x^{21/2}\,\left(\frac{2\,A\,c^3}{21}+\frac{2\,B\,b\,c^2}{7}\right)+\frac{2\,A\,b^3\,x^{9/2}}{9}+\frac{2\,B\,c^3\,x^{25/2}}{25}+\frac{6\,b\,c\,x^{17/2}\,\left(A\,c+B\,b\right)}{17}","Not used",1,"x^(13/2)*((2*B*b^3)/13 + (6*A*b^2*c)/13) + x^(21/2)*((2*A*c^3)/21 + (2*B*b*c^2)/7) + (2*A*b^3*x^(9/2))/9 + (2*B*c^3*x^(25/2))/25 + (6*b*c*x^(17/2)*(A*c + B*b))/17","B"
182,1,69,85,0.032954,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^3)/x^(7/2),x)","x^{11/2}\,\left(\frac{2\,B\,b^3}{11}+\frac{6\,A\,c\,b^2}{11}\right)+x^{19/2}\,\left(\frac{2\,A\,c^3}{19}+\frac{6\,B\,b\,c^2}{19}\right)+\frac{2\,A\,b^3\,x^{7/2}}{7}+\frac{2\,B\,c^3\,x^{23/2}}{23}+\frac{2\,b\,c\,x^{15/2}\,\left(A\,c+B\,b\right)}{5}","Not used",1,"x^(11/2)*((2*B*b^3)/11 + (6*A*b^2*c)/11) + x^(19/2)*((2*A*c^3)/19 + (6*B*b*c^2)/19) + (2*A*b^3*x^(7/2))/7 + (2*B*c^3*x^(23/2))/23 + (2*b*c*x^(15/2)*(A*c + B*b))/5","B"
183,1,115,278,0.226674,"\text{Not used}","int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^{7/2}\,\left(\frac{2\,A}{7\,c}-\frac{2\,B\,b}{7\,c^2}\right)+\frac{2\,B\,x^{11/2}}{11\,c}+\frac{{\left(-b\right)}^{7/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{c^{15/4}}-\frac{b\,x^{3/2}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{3\,c}+\frac{{\left(-b\right)}^{7/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{c^{15/4}}","Not used",1,"x^(7/2)*((2*A)/(7*c) - (2*B*b)/(7*c^2)) + (2*B*x^(11/2))/(11*c) + ((-b)^(7/4)*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/c^(15/4) + ((-b)^(7/4)*atan((c^(1/4)*x^(1/2)*1i)/(-b)^(1/4))*(A*c - B*b)*1i)/c^(15/4) - (b*x^(3/2)*((2*A)/c - (2*B*b)/c^2))/(3*c)","B"
184,1,788,276,0.251939,"\text{Not used}","int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^{5/2}\,\left(\frac{2\,A}{5\,c}-\frac{2\,B\,b}{5\,c^2}\right)+\frac{2\,B\,x^{9/2}}{9\,c}-\frac{{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}-\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)\,1{}\mathrm{i}}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)}{2\,c^{13/4}}+\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}+\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)\,1{}\mathrm{i}}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)}{2\,c^{13/4}}}{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}-\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)\,1{}\mathrm{i}}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{13/4}}-\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}+\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)\,1{}\mathrm{i}}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{13/4}}}\right)\,\left(A\,c-B\,b\right)}{c^{13/4}}-\frac{b\,\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)}{c}-\frac{{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}-\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{13/4}}+\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}+\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{13/4}}}{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}-\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)}{2\,c^{13/4}}-\frac{{\left(-b\right)}^{5/4}\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^4\,c^2-2\,A\,B\,b^5\,c+B^2\,b^6\right)}{c^3}+\frac{{\left(-b\right)}^{5/4}\,\left(A\,c-B\,b\right)\,\left(32\,B\,b^4-32\,A\,b^3\,c\right)}{2\,c^{13/4}}\right)\,\left(A\,c-B\,b\right)}{2\,c^{13/4}}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{c^{13/4}}","Not used",1,"x^(5/2)*((2*A)/(5*c) - (2*B*b)/(5*c^2)) + (2*B*x^(9/2))/(9*c) - ((-b)^(5/4)*atan((((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 - ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c))/(2*c^(13/4)))*(A*c - B*b)*1i)/(2*c^(13/4)) + ((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 + ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c))/(2*c^(13/4)))*(A*c - B*b)*1i)/(2*c^(13/4)))/(((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 - ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c))/(2*c^(13/4)))*(A*c - B*b))/(2*c^(13/4)) - ((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 + ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c))/(2*c^(13/4)))*(A*c - B*b))/(2*c^(13/4))))*(A*c - B*b)*1i)/c^(13/4) - ((-b)^(5/4)*atan((((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 - ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c)*1i)/(2*c^(13/4)))*(A*c - B*b))/(2*c^(13/4)) + ((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 + ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c)*1i)/(2*c^(13/4)))*(A*c - B*b))/(2*c^(13/4)))/(((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 - ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c)*1i)/(2*c^(13/4)))*(A*c - B*b)*1i)/(2*c^(13/4)) - ((-b)^(5/4)*((16*x^(1/2)*(B^2*b^6 + A^2*b^4*c^2 - 2*A*B*b^5*c))/c^3 + ((-b)^(5/4)*(A*c - B*b)*(32*B*b^4 - 32*A*b^3*c)*1i)/(2*c^(13/4)))*(A*c - B*b)*1i)/(2*c^(13/4))))*(A*c - B*b))/c^(13/4) - (b*x^(1/2)*((2*A)/c - (2*B*b)/c^2))/c","B"
185,1,92,257,0.236481,"\text{Not used}","int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","x^{3/2}\,\left(\frac{2\,A}{3\,c}-\frac{2\,B\,b}{3\,c^2}\right)+\frac{2\,B\,x^{7/2}}{7\,c}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{c^{11/4}}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{c^{11/4}}","Not used",1,"x^(3/2)*((2*A)/(3*c) - (2*B*b)/(3*c^2)) + (2*B*x^(7/2))/(7*c) + ((-b)^(3/4)*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/c^(11/4) + ((-b)^(3/4)*atan((c^(1/4)*x^(1/2)*1i)/(-b)^(1/4))*(A*c - B*b)*1i)/c^(11/4)","B"
186,1,789,255,0.274582,"\text{Not used}","int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","\sqrt{x}\,\left(\frac{2\,A}{c}-\frac{2\,B\,b}{c^2}\right)+\frac{2\,B\,x^{5/2}}{5\,c}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}-\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)}{2\,c^{9/4}}\right)\,1{}\mathrm{i}}{2\,c^{9/4}}+\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}+\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)}{2\,c^{9/4}}\right)\,1{}\mathrm{i}}{2\,c^{9/4}}}{\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}-\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)}{2\,c^{9/4}}\right)}{2\,c^{9/4}}-\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}+\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)}{2\,c^{9/4}}\right)}{2\,c^{9/4}}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{c^{9/4}}-\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}-\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{9/4}}\right)}{2\,c^{9/4}}+\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}+\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{9/4}}\right)}{2\,c^{9/4}}}{\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}-\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{9/4}}\right)\,1{}\mathrm{i}}{2\,c^{9/4}}-\frac{{\left(-b\right)}^{1/4}\,\left(A\,c-B\,b\right)\,\left(\frac{16\,\sqrt{x}\,\left(A^2\,b^2\,c^2-2\,A\,B\,b^3\,c+B^2\,b^4\right)}{c}+\frac{{\left(-b\right)}^{1/4}\,\left(32\,A\,b^2\,c^2-32\,B\,b^3\,c\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,c^{9/4}}\right)\,1{}\mathrm{i}}{2\,c^{9/4}}}\right)\,\left(A\,c-B\,b\right)}{c^{9/4}}","Not used",1,"x^(1/2)*((2*A)/c - (2*B*b)/c^2) + (2*B*x^(5/2))/(5*c) - ((-b)^(1/4)*atan((((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c - ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b))/(2*c^(9/4)))*1i)/(2*c^(9/4)) + ((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c + ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b))/(2*c^(9/4)))*1i)/(2*c^(9/4)))/(((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c - ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b))/(2*c^(9/4))))/(2*c^(9/4)) - ((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c + ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b))/(2*c^(9/4))))/(2*c^(9/4))))*(A*c - B*b)*1i)/c^(9/4) - ((-b)^(1/4)*atan((((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c - ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b)*1i)/(2*c^(9/4))))/(2*c^(9/4)) + ((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c + ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b)*1i)/(2*c^(9/4))))/(2*c^(9/4)))/(((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c - ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b)*1i)/(2*c^(9/4)))*1i)/(2*c^(9/4)) - ((-b)^(1/4)*(A*c - B*b)*((16*x^(1/2)*(B^2*b^4 + A^2*b^2*c^2 - 2*A*B*b^3*c))/c + ((-b)^(1/4)*(32*A*b^2*c^2 - 32*B*b^3*c)*(A*c - B*b)*1i)/(2*c^(9/4)))*1i)/(2*c^(9/4))))*(A*c - B*b))/c^(9/4)","B"
187,1,71,237,0.153302,"\text{Not used}","int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{2\,B\,x^{3/2}}{3\,c}+\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{1/4}\,c^{7/4}}-\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{1/4}\,c^{7/4}}","Not used",1,"(2*B*x^(3/2))/(3*c) + (atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/((-b)^(1/4)*c^(7/4)) - (atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/((-b)^(1/4)*c^(7/4))","B"
188,1,739,235,0.292205,"\text{Not used}","int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{2\,B\,\sqrt{x}}{c}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)-\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}+\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)+\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}}{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)-\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}-\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)+\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{{\left(-b\right)}^{3/4}\,c^{5/4}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)-\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}+\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)+\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}}{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)-\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}-\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,c^3-32\,A\,B\,b\,c^2+16\,B^2\,b^2\,c\right)+\frac{\left(32\,B\,b^2\,c^2-32\,A\,b\,c^3\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{3/4}\,c^{5/4}}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{3/4}\,c^{5/4}}","Not used",1,"(2*B*x^(1/2))/c - (atan((((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) - ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b))/(2*(-b)^(3/4)*c^(5/4)))*1i)/(2*(-b)^(3/4)*c^(5/4)) + ((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) + ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b))/(2*(-b)^(3/4)*c^(5/4)))*1i)/(2*(-b)^(3/4)*c^(5/4)))/(((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) - ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b))/(2*(-b)^(3/4)*c^(5/4))))/(2*(-b)^(3/4)*c^(5/4)) - ((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) + ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b))/(2*(-b)^(3/4)*c^(5/4))))/(2*(-b)^(3/4)*c^(5/4))))*(A*c - B*b)*1i)/((-b)^(3/4)*c^(5/4)) - (atan((((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) - ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b)*1i)/(2*(-b)^(3/4)*c^(5/4))))/(2*(-b)^(3/4)*c^(5/4)) + ((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) + ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b)*1i)/(2*(-b)^(3/4)*c^(5/4))))/(2*(-b)^(3/4)*c^(5/4)))/(((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) - ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b)*1i)/(2*(-b)^(3/4)*c^(5/4)))*1i)/(2*(-b)^(3/4)*c^(5/4)) - ((A*c - B*b)*(x^(1/2)*(16*A^2*c^3 + 16*B^2*b^2*c - 32*A*B*b*c^2) + ((32*B*b^2*c^2 - 32*A*b*c^3)*(A*c - B*b)*1i)/(2*(-b)^(3/4)*c^(5/4)))*1i)/(2*(-b)^(3/4)*c^(5/4))))*(A*c - B*b))/((-b)^(3/4)*c^(5/4))","B"
189,1,71,235,0.221985,"\text{Not used}","int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4),x)","\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{5/4}\,c^{3/4}}-\frac{2\,A}{b\,\sqrt{x}}-\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{5/4}\,c^{3/4}}","Not used",1,"(atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/((-b)^(5/4)*c^(3/4)) - (2*A)/(b*x^(1/2)) - (atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c - B*b))/((-b)^(5/4)*c^(3/4))","B"
190,1,811,237,0.301225,"\text{Not used}","int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)),x)","-\frac{2\,A}{3\,b\,x^{3/2}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)-\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}+\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)+\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}}{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)-\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}-\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)+\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{{\left(-b\right)}^{7/4}\,c^{1/4}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)-\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}+\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)+\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}}{\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)-\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}-\frac{\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^3\,c^5-32\,A\,B\,b^4\,c^4+16\,B^2\,b^5\,c^3\right)+\frac{\left(A\,c-B\,b\right)\,\left(32\,A\,b^5\,c^4-32\,B\,b^6\,c^3\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{2\,{\left(-b\right)}^{7/4}\,c^{1/4}}}\right)\,\left(A\,c-B\,b\right)}{{\left(-b\right)}^{7/4}\,c^{1/4}}","Not used",1,"- (2*A)/(3*b*x^(3/2)) - (atan((((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) - ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3))/(2*(-b)^(7/4)*c^(1/4)))*1i)/(2*(-b)^(7/4)*c^(1/4)) + ((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) + ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3))/(2*(-b)^(7/4)*c^(1/4)))*1i)/(2*(-b)^(7/4)*c^(1/4)))/(((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) - ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3))/(2*(-b)^(7/4)*c^(1/4))))/(2*(-b)^(7/4)*c^(1/4)) - ((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) + ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3))/(2*(-b)^(7/4)*c^(1/4))))/(2*(-b)^(7/4)*c^(1/4))))*(A*c - B*b)*1i)/((-b)^(7/4)*c^(1/4)) - (atan((((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) - ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3)*1i)/(2*(-b)^(7/4)*c^(1/4))))/(2*(-b)^(7/4)*c^(1/4)) + ((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) + ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3)*1i)/(2*(-b)^(7/4)*c^(1/4))))/(2*(-b)^(7/4)*c^(1/4)))/(((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) - ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3)*1i)/(2*(-b)^(7/4)*c^(1/4)))*1i)/(2*(-b)^(7/4)*c^(1/4)) - ((A*c - B*b)*(x^(1/2)*(16*A^2*b^3*c^5 + 16*B^2*b^5*c^3 - 32*A*B*b^4*c^4) + ((A*c - B*b)*(32*A*b^5*c^4 - 32*B*b^6*c^3)*1i)/(2*(-b)^(7/4)*c^(1/4)))*1i)/(2*(-b)^(7/4)*c^(1/4))))*(A*c - B*b))/((-b)^(7/4)*c^(1/4))","B"
191,1,90,255,0.226456,"\text{Not used}","int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)),x)","\frac{{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(A\,c-B\,b\right)}{b^{9/4}}-\frac{\frac{2\,A}{5\,b}-\frac{2\,x^2\,\left(A\,c-B\,b\right)}{b^2}}{x^{5/2}}-\frac{{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(A\,c-B\,b\right)}{b^{9/4}}","Not used",1,"((-c)^(1/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(A*c - B*b))/b^(9/4) - ((2*A)/(5*b) - (2*x^2*(A*c - B*b))/b^2)/x^(5/2) - ((-c)^(1/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(A*c - B*b))/b^(9/4)","B"
192,1,555,257,0.319926,"\text{Not used}","int((A + B*x^2)/(x^(5/2)*(b*x^2 + c*x^4)),x)","-\frac{\frac{2\,A}{7\,b}-\frac{2\,x^2\,\left(A\,c-B\,b\right)}{3\,b^2}}{x^{7/2}}+\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^6\,c^7-32\,A\,B\,b^7\,c^6+16\,B^2\,b^8\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^9\,c^5-32\,B\,b^{10}\,c^4\right)\,1{}\mathrm{i}}{2\,b^{11/4}}\right)}{2\,b^{11/4}}+\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^6\,c^7-32\,A\,B\,b^7\,c^6+16\,B^2\,b^8\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^9\,c^5-32\,B\,b^{10}\,c^4\right)\,1{}\mathrm{i}}{2\,b^{11/4}}\right)}{2\,b^{11/4}}}{\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^6\,c^7-32\,A\,B\,b^7\,c^6+16\,B^2\,b^8\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^9\,c^5-32\,B\,b^{10}\,c^4\right)\,1{}\mathrm{i}}{2\,b^{11/4}}\right)\,1{}\mathrm{i}}{2\,b^{11/4}}-\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^6\,c^7-32\,A\,B\,b^7\,c^6+16\,B^2\,b^8\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^9\,c^5-32\,B\,b^{10}\,c^4\right)\,1{}\mathrm{i}}{2\,b^{11/4}}\right)\,1{}\mathrm{i}}{2\,b^{11/4}}}\right)\,\left(A\,c-B\,b\right)}{b^{11/4}}-\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{A^3\,c^8\,\sqrt{x}\,1{}\mathrm{i}-B^3\,b^3\,c^5\,\sqrt{x}\,1{}\mathrm{i}-A^2\,B\,b\,c^7\,\sqrt{x}\,3{}\mathrm{i}+A\,B^2\,b^2\,c^6\,\sqrt{x}\,3{}\mathrm{i}}{b^{1/4}\,{\left(-c\right)}^{19/4}\,\left(c\,\left(c\,\left(A^3\,c-3\,A^2\,B\,b\right)+3\,A\,B^2\,b^2\right)-B^3\,b^3\right)}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{b^{11/4}}","Not used",1,"((-c)^(3/4)*atan((((-c)^(3/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^6*c^7 + 16*B^2*b^8*c^5 - 32*A*B*b^7*c^6) - ((-c)^(3/4)*(A*c - B*b)*(32*A*b^9*c^5 - 32*B*b^10*c^4)*1i)/(2*b^(11/4))))/(2*b^(11/4)) + ((-c)^(3/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^6*c^7 + 16*B^2*b^8*c^5 - 32*A*B*b^7*c^6) + ((-c)^(3/4)*(A*c - B*b)*(32*A*b^9*c^5 - 32*B*b^10*c^4)*1i)/(2*b^(11/4))))/(2*b^(11/4)))/(((-c)^(3/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^6*c^7 + 16*B^2*b^8*c^5 - 32*A*B*b^7*c^6) - ((-c)^(3/4)*(A*c - B*b)*(32*A*b^9*c^5 - 32*B*b^10*c^4)*1i)/(2*b^(11/4)))*1i)/(2*b^(11/4)) - ((-c)^(3/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^6*c^7 + 16*B^2*b^8*c^5 - 32*A*B*b^7*c^6) + ((-c)^(3/4)*(A*c - B*b)*(32*A*b^9*c^5 - 32*B*b^10*c^4)*1i)/(2*b^(11/4)))*1i)/(2*b^(11/4))))*(A*c - B*b))/b^(11/4) - ((2*A)/(7*b) - (2*x^2*(A*c - B*b))/(3*b^2))/x^(7/2) - ((-c)^(3/4)*atan((A^3*c^8*x^(1/2)*1i - B^3*b^3*c^5*x^(1/2)*1i - A^2*B*b*c^7*x^(1/2)*3i + A*B^2*b^2*c^6*x^(1/2)*3i)/(b^(1/4)*(-c)^(19/4)*(c*(c*(A^3*c - 3*A^2*B*b) + 3*A*B^2*b^2) - B^3*b^3)))*(A*c - B*b)*1i)/b^(11/4)","B"
193,1,107,276,0.234484,"\text{Not used}","int((A + B*x^2)/(x^(7/2)*(b*x^2 + c*x^4)),x)","\frac{{\left(-c\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(A\,c-B\,b\right)}{b^{13/4}}-\frac{\frac{2\,A}{9\,b}-\frac{2\,x^2\,\left(A\,c-B\,b\right)}{5\,b^2}+\frac{2\,c\,x^4\,\left(A\,c-B\,b\right)}{b^3}}{x^{9/2}}-\frac{{\left(-c\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(A\,c-B\,b\right)}{b^{13/4}}","Not used",1,"((-c)^(5/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(A*c - B*b))/b^(13/4) - ((2*A)/(9*b) - (2*x^2*(A*c - B*b))/(5*b^2) + (2*c*x^4*(A*c - B*b))/b^3)/x^(9/2) - ((-c)^(5/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(A*c - B*b))/b^(13/4)","B"
194,1,563,278,0.351023,"\text{Not used}","int((A + B*x^2)/(x^(9/2)*(b*x^2 + c*x^4)),x)","\frac{{\left(-c\right)}^{7/4}\,\mathrm{atan}\left(\frac{A^3\,c^{10}\,\sqrt{x}-B^3\,b^3\,c^7\,\sqrt{x}-3\,A^2\,B\,b\,c^9\,\sqrt{x}+3\,A\,B^2\,b^2\,c^8\,\sqrt{x}}{b^{1/4}\,{\left(-c\right)}^{27/4}\,\left(c\,\left(c\,\left(A^3\,c-3\,A^2\,B\,b\right)+3\,A\,B^2\,b^2\right)-B^3\,b^3\right)}\right)\,\left(A\,c-B\,b\right)}{b^{15/4}}-\frac{\frac{2\,A}{11\,b}-\frac{2\,x^2\,\left(A\,c-B\,b\right)}{7\,b^2}+\frac{2\,c\,x^4\,\left(A\,c-B\,b\right)}{3\,b^3}}{x^{11/2}}-\frac{{\left(-c\right)}^{7/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^9\,c^9-32\,A\,B\,b^{10}\,c^8+16\,B^2\,b^{11}\,c^7\right)-\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^{13}\,c^6-32\,B\,b^{14}\,c^5\right)}{2\,b^{15/4}}\right)\,1{}\mathrm{i}}{2\,b^{15/4}}+\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^9\,c^9-32\,A\,B\,b^{10}\,c^8+16\,B^2\,b^{11}\,c^7\right)+\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^{13}\,c^6-32\,B\,b^{14}\,c^5\right)}{2\,b^{15/4}}\right)\,1{}\mathrm{i}}{2\,b^{15/4}}}{\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^9\,c^9-32\,A\,B\,b^{10}\,c^8+16\,B^2\,b^{11}\,c^7\right)-\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^{13}\,c^6-32\,B\,b^{14}\,c^5\right)}{2\,b^{15/4}}\right)}{2\,b^{15/4}}-\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(\sqrt{x}\,\left(16\,A^2\,b^9\,c^9-32\,A\,B\,b^{10}\,c^8+16\,B^2\,b^{11}\,c^7\right)+\frac{{\left(-c\right)}^{7/4}\,\left(A\,c-B\,b\right)\,\left(32\,A\,b^{13}\,c^6-32\,B\,b^{14}\,c^5\right)}{2\,b^{15/4}}\right)}{2\,b^{15/4}}}\right)\,\left(A\,c-B\,b\right)\,1{}\mathrm{i}}{b^{15/4}}","Not used",1,"((-c)^(7/4)*atan((A^3*c^10*x^(1/2) - B^3*b^3*c^7*x^(1/2) - 3*A^2*B*b*c^9*x^(1/2) + 3*A*B^2*b^2*c^8*x^(1/2))/(b^(1/4)*(-c)^(27/4)*(c*(c*(A^3*c - 3*A^2*B*b) + 3*A*B^2*b^2) - B^3*b^3)))*(A*c - B*b))/b^(15/4) - ((-c)^(7/4)*atan((((-c)^(7/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^9*c^9 + 16*B^2*b^11*c^7 - 32*A*B*b^10*c^8) - ((-c)^(7/4)*(A*c - B*b)*(32*A*b^13*c^6 - 32*B*b^14*c^5))/(2*b^(15/4)))*1i)/(2*b^(15/4)) + ((-c)^(7/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^9*c^9 + 16*B^2*b^11*c^7 - 32*A*B*b^10*c^8) + ((-c)^(7/4)*(A*c - B*b)*(32*A*b^13*c^6 - 32*B*b^14*c^5))/(2*b^(15/4)))*1i)/(2*b^(15/4)))/(((-c)^(7/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^9*c^9 + 16*B^2*b^11*c^7 - 32*A*B*b^10*c^8) - ((-c)^(7/4)*(A*c - B*b)*(32*A*b^13*c^6 - 32*B*b^14*c^5))/(2*b^(15/4))))/(2*b^(15/4)) - ((-c)^(7/4)*(A*c - B*b)*(x^(1/2)*(16*A^2*b^9*c^9 + 16*B^2*b^11*c^7 - 32*A*B*b^10*c^8) + ((-c)^(7/4)*(A*c - B*b)*(32*A*b^13*c^6 - 32*B*b^14*c^5))/(2*b^(15/4))))/(2*b^(15/4))))*(A*c - B*b)*1i)/b^(15/4) - ((2*A)/(11*b) - (2*x^2*(A*c - B*b))/(7*b^2) + (2*c*x^4*(A*c - B*b))/(3*b^3))/x^(11/2)","B"
195,1,857,332,0.219036,"\text{Not used}","int((x^(19/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x^{5/2}\,\left(\frac{2\,A}{5\,c^2}-\frac{4\,B\,b}{5\,c^3}\right)-\sqrt{x}\,\left(\frac{2\,b\,\left(\frac{2\,A}{c^2}-\frac{4\,B\,b}{c^3}\right)}{c}+\frac{2\,B\,b^2}{c^4}\right)+\frac{2\,B\,x^{9/2}}{9\,c^2}+\frac{\sqrt{x}\,\left(\frac{B\,b^3}{2}-\frac{A\,b^2\,c}{2}\right)}{c^5\,x^2+b\,c^4}+\frac{{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}+\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{17/4}}+\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}-\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{17/4}}}{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}+\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)}{8\,c^{17/4}}-\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}-\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)}{8\,c^{17/4}}}\right)\,\left(9\,A\,c-13\,B\,b\right)\,1{}\mathrm{i}}{4\,c^{17/4}}-\frac{{\left(-b\right)}^{5/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}-\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)\,1{}\mathrm{i}}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)}{8\,c^{17/4}}+\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}+\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)\,1{}\mathrm{i}}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)}{8\,c^{17/4}}}{\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}-\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)\,1{}\mathrm{i}}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{17/4}}-\frac{{\left(-b\right)}^{5/4}\,\left(\frac{\sqrt{x}\,\left(81\,A^2\,b^4\,c^2-234\,A\,B\,b^5\,c+169\,B^2\,b^6\right)}{c^5}+\frac{{\left(-b\right)}^{5/4}\,\left(9\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^4-9\,A\,b^3\,c\right)\,1{}\mathrm{i}}{c^{21/4}}\right)\,\left(9\,A\,c-13\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{17/4}}}\right)\,\left(9\,A\,c-13\,B\,b\right)}{4\,c^{17/4}}","Not used",1,"x^(5/2)*((2*A)/(5*c^2) - (4*B*b)/(5*c^3)) - x^(1/2)*((2*b*((2*A)/c^2 - (4*B*b)/c^3))/c + (2*B*b^2)/c^4) + (2*B*x^(9/2))/(9*c^2) + (x^(1/2)*((B*b^3)/2 - (A*b^2*c)/2))/(b*c^4 + c^5*x^2) + ((-b)^(5/4)*atan((((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 + ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c))/c^(21/4))*(9*A*c - 13*B*b)*1i)/(8*c^(17/4)) + ((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 - ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c))/c^(21/4))*(9*A*c - 13*B*b)*1i)/(8*c^(17/4)))/(((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 + ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c))/c^(21/4))*(9*A*c - 13*B*b))/(8*c^(17/4)) - ((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 - ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c))/c^(21/4))*(9*A*c - 13*B*b))/(8*c^(17/4))))*(9*A*c - 13*B*b)*1i)/(4*c^(17/4)) - ((-b)^(5/4)*atan((((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 - ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c)*1i)/c^(21/4))*(9*A*c - 13*B*b))/(8*c^(17/4)) + ((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 + ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c)*1i)/c^(21/4))*(9*A*c - 13*B*b))/(8*c^(17/4)))/(((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 - ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c)*1i)/c^(21/4))*(9*A*c - 13*B*b)*1i)/(8*c^(17/4)) - ((-b)^(5/4)*((x^(1/2)*(169*B^2*b^6 + 81*A^2*b^4*c^2 - 234*A*B*b^5*c))/c^5 + ((-b)^(5/4)*(9*A*c - 13*B*b)*(13*B*b^4 - 9*A*b^3*c)*1i)/c^(21/4))*(9*A*c - 13*B*b)*1i)/(8*c^(17/4))))*(9*A*c - 13*B*b))/(4*c^(17/4))","B"
196,1,127,310,0.171211,"\text{Not used}","int((x^(17/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","x^{3/2}\,\left(\frac{2\,A}{3\,c^2}-\frac{4\,B\,b}{3\,c^3}\right)+\frac{2\,B\,x^{7/2}}{7\,c^2}-\frac{x^{3/2}\,\left(\frac{B\,b^2}{2}-\frac{A\,b\,c}{2}\right)}{c^4\,x^2+b\,c^3}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(7\,A\,c-11\,B\,b\right)}{4\,c^{15/4}}+\frac{{\left(-b\right)}^{3/4}\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,\left(7\,A\,c-11\,B\,b\right)\,1{}\mathrm{i}}{4\,c^{15/4}}","Not used",1,"x^(3/2)*((2*A)/(3*c^2) - (4*B*b)/(3*c^3)) + (2*B*x^(7/2))/(7*c^2) - (x^(3/2)*((B*b^2)/2 - (A*b*c)/2))/(b*c^3 + c^4*x^2) + ((-b)^(3/4)*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(7*A*c - 11*B*b))/(4*c^(15/4)) + ((-b)^(3/4)*atan((c^(1/4)*x^(1/2)*1i)/(-b)^(1/4))*(7*A*c - 11*B*b)*1i)/(4*c^(15/4))","B"
197,1,823,310,0.259299,"\text{Not used}","int((x^(15/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\sqrt{x}\,\left(\frac{2\,A}{c^2}-\frac{4\,B\,b}{c^3}\right)+\frac{2\,B\,x^{5/2}}{5\,c^2}-\frac{\sqrt{x}\,\left(\frac{B\,b^2}{2}-\frac{A\,b\,c}{2}\right)}{c^4\,x^2+b\,c^3}+\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{13/4}}+\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{13/4}}}{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)}{8\,c^{13/4}}-\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)}{8\,c^{13/4}}}\right)\,\left(5\,A\,c-9\,B\,b\right)\,1{}\mathrm{i}}{4\,c^{13/4}}+\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)\,1{}\mathrm{i}}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)}{8\,c^{13/4}}+\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)\,1{}\mathrm{i}}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)}{8\,c^{13/4}}}{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)\,1{}\mathrm{i}}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{13/4}}-\frac{{\left(-b\right)}^{1/4}\,\left(\frac{\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-90\,A\,B\,b^3\,c+81\,B^2\,b^4\right)}{c^3}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-9\,B\,b\right)\,\left(72\,B\,b^3-40\,A\,b^2\,c\right)\,1{}\mathrm{i}}{8\,c^{13/4}}\right)\,\left(5\,A\,c-9\,B\,b\right)\,1{}\mathrm{i}}{8\,c^{13/4}}}\right)\,\left(5\,A\,c-9\,B\,b\right)}{4\,c^{13/4}}","Not used",1,"x^(1/2)*((2*A)/c^2 - (4*B*b)/c^3) + (2*B*x^(5/2))/(5*c^2) - (x^(1/2)*((B*b^2)/2 - (A*b*c)/2))/(b*c^3 + c^4*x^2) + ((-b)^(1/4)*atan((((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 - ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c))/(8*c^(13/4)))*(5*A*c - 9*B*b)*1i)/(8*c^(13/4)) + ((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 + ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c))/(8*c^(13/4)))*(5*A*c - 9*B*b)*1i)/(8*c^(13/4)))/(((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 - ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c))/(8*c^(13/4)))*(5*A*c - 9*B*b))/(8*c^(13/4)) - ((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 + ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c))/(8*c^(13/4)))*(5*A*c - 9*B*b))/(8*c^(13/4))))*(5*A*c - 9*B*b)*1i)/(4*c^(13/4)) + ((-b)^(1/4)*atan((((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 - ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c)*1i)/(8*c^(13/4)))*(5*A*c - 9*B*b))/(8*c^(13/4)) + ((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 + ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c)*1i)/(8*c^(13/4)))*(5*A*c - 9*B*b))/(8*c^(13/4)))/(((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 - ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c)*1i)/(8*c^(13/4)))*(5*A*c - 9*B*b)*1i)/(8*c^(13/4)) - ((-b)^(1/4)*((x^(1/2)*(81*B^2*b^4 + 25*A^2*b^2*c^2 - 90*A*B*b^3*c))/c^3 + ((-b)^(1/4)*(5*A*c - 9*B*b)*(72*B*b^3 - 40*A*b^2*c)*1i)/(8*c^(13/4)))*(5*A*c - 9*B*b)*1i)/(8*c^(13/4))))*(5*A*c - 9*B*b))/(4*c^(13/4))","B"
198,1,106,289,0.247139,"\text{Not used}","int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{2\,B\,x^{3/2}}{3\,c^2}-\frac{x^{3/2}\,\left(\frac{A\,c}{2}-\frac{B\,b}{2}\right)}{c^3\,x^2+b\,c^2}+\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(3\,A\,c-7\,B\,b\right)}{4\,{\left(-b\right)}^{1/4}\,c^{11/4}}+\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,\left(3\,A\,c-7\,B\,b\right)\,1{}\mathrm{i}}{4\,{\left(-b\right)}^{1/4}\,c^{11/4}}","Not used",1,"(2*B*x^(3/2))/(3*c^2) - (x^(3/2)*((A*c)/2 - (B*b)/2))/(b*c^2 + c^3*x^2) + (atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(3*A*c - 7*B*b))/(4*(-b)^(1/4)*c^(11/4)) + (atan((c^(1/4)*x^(1/2)*1i)/(-b)^(1/4))*(3*A*c - 7*B*b)*1i)/(4*(-b)^(1/4)*c^(11/4))","B"
199,1,744,289,0.211869,"\text{Not used}","int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{2\,B\,\sqrt{x}}{c^2}-\frac{\sqrt{x}\,\left(\frac{A\,c}{2}-\frac{B\,b}{2}\right)}{c^3\,x^2+b\,c^2}+\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}-\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}+\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}+\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}}{\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}-\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}-\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}+\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}}\right)\,\left(A\,c-5\,B\,b\right)\,1{}\mathrm{i}}{4\,{\left(-b\right)}^{3/4}\,c^{9/4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}-\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}+\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}+\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}}{\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}-\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}-\frac{\left(A\,c-5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(A^2\,c^2-10\,A\,B\,b\,c+25\,B^2\,b^2\right)}{c}+\frac{\left(A\,c-5\,B\,b\right)\,\left(8\,A\,b\,c^2-40\,B\,b^2\,c\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{3/4}\,c^{9/4}}}\right)\,\left(A\,c-5\,B\,b\right)}{4\,{\left(-b\right)}^{3/4}\,c^{9/4}}","Not used",1,"(2*B*x^(1/2))/c^2 - (x^(1/2)*((A*c)/2 - (B*b)/2))/(b*c^2 + c^3*x^2) + (atan((((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c - ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c))/(8*(-b)^(3/4)*c^(9/4)))*1i)/(8*(-b)^(3/4)*c^(9/4)) + ((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c + ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c))/(8*(-b)^(3/4)*c^(9/4)))*1i)/(8*(-b)^(3/4)*c^(9/4)))/(((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c - ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c))/(8*(-b)^(3/4)*c^(9/4))))/(8*(-b)^(3/4)*c^(9/4)) - ((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c + ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c))/(8*(-b)^(3/4)*c^(9/4))))/(8*(-b)^(3/4)*c^(9/4))))*(A*c - 5*B*b)*1i)/(4*(-b)^(3/4)*c^(9/4)) + (atan((((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c - ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c)*1i)/(8*(-b)^(3/4)*c^(9/4))))/(8*(-b)^(3/4)*c^(9/4)) + ((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c + ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c)*1i)/(8*(-b)^(3/4)*c^(9/4))))/(8*(-b)^(3/4)*c^(9/4)))/(((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c - ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c)*1i)/(8*(-b)^(3/4)*c^(9/4)))*1i)/(8*(-b)^(3/4)*c^(9/4)) - ((A*c - 5*B*b)*((x^(1/2)*(A^2*c^2 + 25*B^2*b^2 - 10*A*B*b*c))/c + ((A*c - 5*B*b)*(8*A*b*c^2 - 40*B*b^2*c)*1i)/(8*(-b)^(3/4)*c^(9/4)))*1i)/(8*(-b)^(3/4)*c^(9/4))))*(A*c - 5*B*b))/(4*(-b)^(3/4)*c^(9/4))","B"
200,1,91,261,0.228642,"\text{Not used}","int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c+3\,B\,b\right)}{4\,{\left(-b\right)}^{5/4}\,c^{7/4}}-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c+3\,B\,b\right)}{4\,{\left(-b\right)}^{5/4}\,c^{7/4}}+\frac{x^{3/2}\,\left(A\,c-B\,b\right)}{2\,b\,c\,\left(c\,x^2+b\right)}","Not used",1,"(atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c + 3*B*b))/(4*(-b)^(5/4)*c^(7/4)) - (atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c + 3*B*b))/(4*(-b)^(5/4)*c^(7/4)) + (x^(3/2)*(A*c - B*b))/(2*b*c*(b + c*x^2))","B"
201,1,750,261,0.331395,"\text{Not used}","int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}-\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}+\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}+\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}}{\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}-\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}-\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}+\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}}\right)\,\left(3\,A\,c+B\,b\right)}{4\,{\left(-b\right)}^{7/4}\,c^{5/4}}+\frac{\sqrt{x}\,\left(A\,c-B\,b\right)}{2\,b\,c\,\left(c\,x^2+b\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}-\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}+\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}+\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}}{\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}-\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}-\frac{\left(3\,A\,c+B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^3+6\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{b^2}+\frac{\left(3\,A\,c+B\,b\right)\,\left(24\,A\,c^3+8\,B\,b\,c^2\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}\right)}{8\,{\left(-b\right)}^{7/4}\,c^{5/4}}}\right)\,\left(3\,A\,c+B\,b\right)\,1{}\mathrm{i}}{4\,{\left(-b\right)}^{7/4}\,c^{5/4}}","Not used",1,"(atan((((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 - ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2))/(8*(-b)^(7/4)*c^(5/4)))*1i)/(8*(-b)^(7/4)*c^(5/4)) + ((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 + ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2))/(8*(-b)^(7/4)*c^(5/4)))*1i)/(8*(-b)^(7/4)*c^(5/4)))/(((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 - ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2))/(8*(-b)^(7/4)*c^(5/4))))/(8*(-b)^(7/4)*c^(5/4)) - ((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 + ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2))/(8*(-b)^(7/4)*c^(5/4))))/(8*(-b)^(7/4)*c^(5/4))))*(3*A*c + B*b)*1i)/(4*(-b)^(7/4)*c^(5/4)) + (atan((((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 - ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2)*1i)/(8*(-b)^(7/4)*c^(5/4))))/(8*(-b)^(7/4)*c^(5/4)) + ((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 + ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2)*1i)/(8*(-b)^(7/4)*c^(5/4))))/(8*(-b)^(7/4)*c^(5/4)))/(((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 - ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2)*1i)/(8*(-b)^(7/4)*c^(5/4)))*1i)/(8*(-b)^(7/4)*c^(5/4)) - ((3*A*c + B*b)*((x^(1/2)*(9*A^2*c^3 + B^2*b^2*c + 6*A*B*b*c^2))/b^2 + ((3*A*c + B*b)*(24*A*c^3 + 8*B*b*c^2)*1i)/(8*(-b)^(7/4)*c^(5/4)))*1i)/(8*(-b)^(7/4)*c^(5/4))))*(3*A*c + B*b))/(4*(-b)^(7/4)*c^(5/4)) + (x^(1/2)*(A*c - B*b))/(2*b*c*(b + c*x^2))","B"
202,1,104,284,0.232127,"\text{Not used}","int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(5\,A\,c-B\,b\right)}{4\,{\left(-b\right)}^{9/4}\,c^{3/4}}-\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(5\,A\,c-B\,b\right)}{4\,{\left(-b\right)}^{9/4}\,c^{3/4}}-\frac{\frac{2\,A}{b}+\frac{x^2\,\left(5\,A\,c-B\,b\right)}{2\,b^2}}{b\,\sqrt{x}+c\,x^{5/2}}","Not used",1,"(atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(5*A*c - B*b))/(4*(-b)^(9/4)*c^(3/4)) - (atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(5*A*c - B*b))/(4*(-b)^(9/4)*c^(3/4)) - ((2*A)/b + (x^2*(5*A*c - B*b))/(2*b^2))/(b*x^(1/2) + c*x^(5/2))","B"
203,1,859,289,0.371881,"\text{Not used}","int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","-\frac{\frac{2\,A}{3\,b}+\frac{x^2\,\left(7\,A\,c-3\,B\,b\right)}{6\,b^2}}{b\,x^{3/2}+c\,x^{7/2}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}}{\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}}\right)\,\left(7\,A\,c-3\,B\,b\right)\,1{}\mathrm{i}}{4\,{\left(-b\right)}^{11/4}\,c^{1/4}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}}{\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}-\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(1568\,A^2\,b^6\,c^5-1344\,A\,B\,b^7\,c^4+288\,B^2\,b^8\,c^3\right)+\frac{\left(7\,A\,c-3\,B\,b\right)\,\left(1792\,A\,b^9\,c^4-768\,B\,b^{10}\,c^3\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}\right)\,1{}\mathrm{i}}{8\,{\left(-b\right)}^{11/4}\,c^{1/4}}}\right)\,\left(7\,A\,c-3\,B\,b\right)}{4\,{\left(-b\right)}^{11/4}\,c^{1/4}}","Not used",1,"- ((2*A)/(3*b) + (x^2*(7*A*c - 3*B*b))/(6*b^2))/(b*x^(3/2) + c*x^(7/2)) - (atan((((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) - ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3))/(8*(-b)^(11/4)*c^(1/4)))*1i)/(8*(-b)^(11/4)*c^(1/4)) + ((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) + ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3))/(8*(-b)^(11/4)*c^(1/4)))*1i)/(8*(-b)^(11/4)*c^(1/4)))/(((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) - ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3))/(8*(-b)^(11/4)*c^(1/4))))/(8*(-b)^(11/4)*c^(1/4)) - ((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) + ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3))/(8*(-b)^(11/4)*c^(1/4))))/(8*(-b)^(11/4)*c^(1/4))))*(7*A*c - 3*B*b)*1i)/(4*(-b)^(11/4)*c^(1/4)) - (atan((((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) - ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3)*1i)/(8*(-b)^(11/4)*c^(1/4))))/(8*(-b)^(11/4)*c^(1/4)) + ((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) + ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3)*1i)/(8*(-b)^(11/4)*c^(1/4))))/(8*(-b)^(11/4)*c^(1/4)))/(((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) - ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3)*1i)/(8*(-b)^(11/4)*c^(1/4)))*1i)/(8*(-b)^(11/4)*c^(1/4)) - ((7*A*c - 3*B*b)*(x^(1/2)*(1568*A^2*b^6*c^5 + 288*B^2*b^8*c^3 - 1344*A*B*b^7*c^4) + ((7*A*c - 3*B*b)*(1792*A*b^9*c^4 - 768*B*b^10*c^3)*1i)/(8*(-b)^(11/4)*c^(1/4)))*1i)/(8*(-b)^(11/4)*c^(1/4))))*(7*A*c - 3*B*b))/(4*(-b)^(11/4)*c^(1/4))","B"
204,1,121,310,0.245970,"\text{Not used}","int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\frac{\frac{2\,x^2\,\left(9\,A\,c-5\,B\,b\right)}{5\,b^2}-\frac{2\,A}{5\,b}+\frac{c\,x^4\,\left(9\,A\,c-5\,B\,b\right)}{2\,b^3}}{b\,x^{5/2}+c\,x^{9/2}}+\frac{{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(9\,A\,c-5\,B\,b\right)}{4\,b^{13/4}}-\frac{{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(9\,A\,c-5\,B\,b\right)}{4\,b^{13/4}}","Not used",1,"((2*x^2*(9*A*c - 5*B*b))/(5*b^2) - (2*A)/(5*b) + (c*x^4*(9*A*c - 5*B*b))/(2*b^3))/(b*x^(5/2) + c*x^(9/2)) + ((-c)^(1/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(9*A*c - 5*B*b))/(4*b^(13/4)) - ((-c)^(1/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(9*A*c - 5*B*b))/(4*b^(13/4))","B"
205,1,595,310,0.398721,"\text{Not used}","int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^2),x)","\frac{\frac{2\,x^2\,\left(11\,A\,c-7\,B\,b\right)}{21\,b^2}-\frac{2\,A}{7\,b}+\frac{c\,x^4\,\left(11\,A\,c-7\,B\,b\right)}{6\,b^3}}{b\,x^{7/2}+c\,x^{11/2}}+\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(3872\,A^2\,b^9\,c^7-4928\,A\,B\,b^{10}\,c^6+1568\,B^2\,b^{11}\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(2816\,A\,b^{13}\,c^5-1792\,B\,b^{14}\,c^4\right)\,1{}\mathrm{i}}{8\,b^{15/4}}\right)}{8\,b^{15/4}}+\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(3872\,A^2\,b^9\,c^7-4928\,A\,B\,b^{10}\,c^6+1568\,B^2\,b^{11}\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(2816\,A\,b^{13}\,c^5-1792\,B\,b^{14}\,c^4\right)\,1{}\mathrm{i}}{8\,b^{15/4}}\right)}{8\,b^{15/4}}}{\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(3872\,A^2\,b^9\,c^7-4928\,A\,B\,b^{10}\,c^6+1568\,B^2\,b^{11}\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(2816\,A\,b^{13}\,c^5-1792\,B\,b^{14}\,c^4\right)\,1{}\mathrm{i}}{8\,b^{15/4}}\right)\,1{}\mathrm{i}}{8\,b^{15/4}}-\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(3872\,A^2\,b^9\,c^7-4928\,A\,B\,b^{10}\,c^6+1568\,B^2\,b^{11}\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(11\,A\,c-7\,B\,b\right)\,\left(2816\,A\,b^{13}\,c^5-1792\,B\,b^{14}\,c^4\right)\,1{}\mathrm{i}}{8\,b^{15/4}}\right)\,1{}\mathrm{i}}{8\,b^{15/4}}}\right)\,\left(11\,A\,c-7\,B\,b\right)}{4\,b^{15/4}}-\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{A^3\,c^8\,\sqrt{x}\,1331{}\mathrm{i}-B^3\,b^3\,c^5\,\sqrt{x}\,343{}\mathrm{i}-A^2\,B\,b\,c^7\,\sqrt{x}\,2541{}\mathrm{i}+A\,B^2\,b^2\,c^6\,\sqrt{x}\,1617{}\mathrm{i}}{b^{1/4}\,{\left(-c\right)}^{19/4}\,\left(c\,\left(c\,\left(1331\,A^3\,c-2541\,A^2\,B\,b\right)+1617\,A\,B^2\,b^2\right)-343\,B^3\,b^3\right)}\right)\,\left(11\,A\,c-7\,B\,b\right)\,1{}\mathrm{i}}{4\,b^{15/4}}","Not used",1,"((2*x^2*(11*A*c - 7*B*b))/(21*b^2) - (2*A)/(7*b) + (c*x^4*(11*A*c - 7*B*b))/(6*b^3))/(b*x^(7/2) + c*x^(11/2)) + ((-c)^(3/4)*atan((((-c)^(3/4)*(11*A*c - 7*B*b)*(x^(1/2)*(3872*A^2*b^9*c^7 + 1568*B^2*b^11*c^5 - 4928*A*B*b^10*c^6) - ((-c)^(3/4)*(11*A*c - 7*B*b)*(2816*A*b^13*c^5 - 1792*B*b^14*c^4)*1i)/(8*b^(15/4))))/(8*b^(15/4)) + ((-c)^(3/4)*(11*A*c - 7*B*b)*(x^(1/2)*(3872*A^2*b^9*c^7 + 1568*B^2*b^11*c^5 - 4928*A*B*b^10*c^6) + ((-c)^(3/4)*(11*A*c - 7*B*b)*(2816*A*b^13*c^5 - 1792*B*b^14*c^4)*1i)/(8*b^(15/4))))/(8*b^(15/4)))/(((-c)^(3/4)*(11*A*c - 7*B*b)*(x^(1/2)*(3872*A^2*b^9*c^7 + 1568*B^2*b^11*c^5 - 4928*A*B*b^10*c^6) - ((-c)^(3/4)*(11*A*c - 7*B*b)*(2816*A*b^13*c^5 - 1792*B*b^14*c^4)*1i)/(8*b^(15/4)))*1i)/(8*b^(15/4)) - ((-c)^(3/4)*(11*A*c - 7*B*b)*(x^(1/2)*(3872*A^2*b^9*c^7 + 1568*B^2*b^11*c^5 - 4928*A*B*b^10*c^6) + ((-c)^(3/4)*(11*A*c - 7*B*b)*(2816*A*b^13*c^5 - 1792*B*b^14*c^4)*1i)/(8*b^(15/4)))*1i)/(8*b^(15/4))))*(11*A*c - 7*B*b))/(4*b^(15/4)) - ((-c)^(3/4)*atan((A^3*c^8*x^(1/2)*1331i - B^3*b^3*c^5*x^(1/2)*343i - A^2*B*b*c^7*x^(1/2)*2541i + A*B^2*b^2*c^6*x^(1/2)*1617i)/(b^(1/4)*(-c)^(19/4)*(c*(c*(1331*A^3*c - 2541*A^2*B*b) + 1617*A*B^2*b^2) - 343*B^3*b^3)))*(11*A*c - 7*B*b)*1i)/(4*b^(15/4))","B"
206,1,142,332,0.199656,"\text{Not used}","int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)^2),x)","\frac{{\left(-c\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(13\,A\,c-9\,B\,b\right)}{4\,b^{17/4}}-\frac{\frac{2\,A}{9\,b}-\frac{2\,x^2\,\left(13\,A\,c-9\,B\,b\right)}{45\,b^2}+\frac{c^2\,x^6\,\left(13\,A\,c-9\,B\,b\right)}{2\,b^4}+\frac{2\,c\,x^4\,\left(13\,A\,c-9\,B\,b\right)}{5\,b^3}}{b\,x^{9/2}+c\,x^{13/2}}-\frac{{\left(-c\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(13\,A\,c-9\,B\,b\right)}{4\,b^{17/4}}","Not used",1,"((-c)^(5/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(13*A*c - 9*B*b))/(4*b^(17/4)) - ((2*A)/(9*b) - (2*x^2*(13*A*c - 9*B*b))/(45*b^2) + (c^2*x^6*(13*A*c - 9*B*b))/(2*b^4) + (2*c*x^4*(13*A*c - 9*B*b))/(5*b^3))/(b*x^(9/2) + c*x^(13/2)) - ((-c)^(5/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(13*A*c - 9*B*b))/(4*b^(17/4))","B"
207,1,865,343,0.248543,"\text{Not used}","int((x^(23/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{x^{5/2}\,\left(\frac{17\,A\,b\,c^2}{16}-\frac{25\,B\,b^2\,c}{16}\right)-\sqrt{x}\,\left(\frac{21\,B\,b^3}{16}-\frac{13\,A\,b^2\,c}{16}\right)}{b^2\,c^4+2\,b\,c^5\,x^2+c^6\,x^4}+\sqrt{x}\,\left(\frac{2\,A}{c^3}-\frac{6\,B\,b}{c^4}\right)+\frac{2\,B\,x^{5/2}}{5\,c^3}+\frac{{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}-\frac{81\,{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)\,9{}\mathrm{i}}{64\,c^{17/4}}+\frac{{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}+\frac{81\,{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)\,9{}\mathrm{i}}{64\,c^{17/4}}}{\frac{9\,{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}-\frac{81\,{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)}{64\,c^{17/4}}-\frac{9\,{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}+\frac{81\,{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)}{64\,c^{17/4}}}\right)\,\left(5\,A\,c-13\,B\,b\right)\,9{}\mathrm{i}}{32\,c^{17/4}}+\frac{9\,{\left(-b\right)}^{1/4}\,\mathrm{atan}\left(\frac{\frac{9\,{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)\,81{}\mathrm{i}}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)}{64\,c^{17/4}}+\frac{9\,{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)\,81{}\mathrm{i}}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)}{64\,c^{17/4}}}{\frac{{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}-\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)\,81{}\mathrm{i}}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)\,9{}\mathrm{i}}{64\,c^{17/4}}-\frac{{\left(-b\right)}^{1/4}\,\left(\frac{81\,\sqrt{x}\,\left(25\,A^2\,b^2\,c^2-130\,A\,B\,b^3\,c+169\,B^2\,b^4\right)}{64\,c^5}+\frac{{\left(-b\right)}^{1/4}\,\left(5\,A\,c-13\,B\,b\right)\,\left(13\,B\,b^3-5\,A\,b^2\,c\right)\,81{}\mathrm{i}}{64\,c^{21/4}}\right)\,\left(5\,A\,c-13\,B\,b\right)\,9{}\mathrm{i}}{64\,c^{17/4}}}\right)\,\left(5\,A\,c-13\,B\,b\right)}{32\,c^{17/4}}","Not used",1,"(x^(5/2)*((17*A*b*c^2)/16 - (25*B*b^2*c)/16) - x^(1/2)*((21*B*b^3)/16 - (13*A*b^2*c)/16))/(b^2*c^4 + c^6*x^4 + 2*b*c^5*x^2) + x^(1/2)*((2*A)/c^3 - (6*B*b)/c^4) + (2*B*x^(5/2))/(5*c^3) + ((-b)^(1/4)*atan((((-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) - (81*(-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c))/(64*c^(21/4)))*(5*A*c - 13*B*b)*9i)/(64*c^(17/4)) + ((-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) + (81*(-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c))/(64*c^(21/4)))*(5*A*c - 13*B*b)*9i)/(64*c^(17/4)))/((9*(-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) - (81*(-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c))/(64*c^(21/4)))*(5*A*c - 13*B*b))/(64*c^(17/4)) - (9*(-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) + (81*(-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c))/(64*c^(21/4)))*(5*A*c - 13*B*b))/(64*c^(17/4))))*(5*A*c - 13*B*b)*9i)/(32*c^(17/4)) + (9*(-b)^(1/4)*atan(((9*(-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) - ((-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c)*81i)/(64*c^(21/4)))*(5*A*c - 13*B*b))/(64*c^(17/4)) + (9*(-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) + ((-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c)*81i)/(64*c^(21/4)))*(5*A*c - 13*B*b))/(64*c^(17/4)))/(((-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) - ((-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c)*81i)/(64*c^(21/4)))*(5*A*c - 13*B*b)*9i)/(64*c^(17/4)) - ((-b)^(1/4)*((81*x^(1/2)*(169*B^2*b^4 + 25*A^2*b^2*c^2 - 130*A*B*b^3*c))/(64*c^5) + ((-b)^(1/4)*(5*A*c - 13*B*b)*(13*B*b^3 - 5*A*b^2*c)*81i)/(64*c^(21/4)))*(5*A*c - 13*B*b)*9i)/(64*c^(17/4))))*(5*A*c - 13*B*b))/(32*c^(17/4))","B"
208,1,138,322,0.260658,"\text{Not used}","int((x^(21/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{x^{3/2}\,\left(\frac{15\,B\,b^2}{16}-\frac{7\,A\,b\,c}{16}\right)-x^{7/2}\,\left(\frac{11\,A\,c^2}{16}-\frac{19\,B\,b\,c}{16}\right)}{b^2\,c^3+2\,b\,c^4\,x^2+c^5\,x^4}+\frac{2\,B\,x^{3/2}}{3\,c^3}+\frac{7\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(3\,A\,c-11\,B\,b\right)}{32\,{\left(-b\right)}^{1/4}\,c^{15/4}}+\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}\,1{}\mathrm{i}}{{\left(-b\right)}^{1/4}}\right)\,\left(3\,A\,c-11\,B\,b\right)\,7{}\mathrm{i}}{32\,{\left(-b\right)}^{1/4}\,c^{15/4}}","Not used",1,"(x^(3/2)*((15*B*b^2)/16 - (7*A*b*c)/16) - x^(7/2)*((11*A*c^2)/16 - (19*B*b*c)/16))/(b^2*c^3 + c^5*x^4 + 2*b*c^4*x^2) + (2*B*x^(3/2))/(3*c^3) + (7*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(3*A*c - 11*B*b))/(32*(-b)^(1/4)*c^(15/4)) + (atan((c^(1/4)*x^(1/2)*1i)/(-b)^(1/4))*(3*A*c - 11*B*b)*7i)/(32*(-b)^(1/4)*c^(15/4))","B"
209,1,760,322,0.228438,"\text{Not used}","int((x^(19/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\sqrt{x}\,\left(\frac{13\,B\,b^2}{16}-\frac{5\,A\,b\,c}{16}\right)-x^{5/2}\,\left(\frac{9\,A\,c^2}{16}-\frac{17\,B\,b\,c}{16}\right)}{b^2\,c^3+2\,b\,c^4\,x^2+c^5\,x^4}+\frac{2\,B\,\sqrt{x}}{c^3}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}-\frac{5\,\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}+\frac{\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}+\frac{5\,\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}}{\frac{5\,\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}-\frac{5\,\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}-\frac{5\,\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}+\frac{5\,\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}}\right)\,\left(A\,c-9\,B\,b\right)\,5{}\mathrm{i}}{32\,{\left(-b\right)}^{3/4}\,c^{13/4}}-\frac{5\,\mathrm{atan}\left(\frac{\frac{5\,\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}-\frac{\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}+\frac{5\,\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}+\frac{\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}}{\frac{\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}-\frac{\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}-\frac{\left(A\,c-9\,B\,b\right)\,\left(\frac{25\,\sqrt{x}\,\left(A^2\,c^2-18\,A\,B\,b\,c+81\,B^2\,b^2\right)}{64\,c^3}+\frac{\left(45\,B\,b^2-5\,A\,b\,c\right)\,\left(A\,c-9\,B\,b\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}\right)\,5{}\mathrm{i}}{64\,{\left(-b\right)}^{3/4}\,c^{13/4}}}\right)\,\left(A\,c-9\,B\,b\right)}{32\,{\left(-b\right)}^{3/4}\,c^{13/4}}","Not used",1,"(x^(1/2)*((13*B*b^2)/16 - (5*A*b*c)/16) - x^(5/2)*((9*A*c^2)/16 - (17*B*b*c)/16))/(b^2*c^3 + c^5*x^4 + 2*b*c^4*x^2) + (2*B*x^(1/2))/c^3 - (atan((((A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) - (5*(45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b))/(64*(-b)^(3/4)*c^(13/4)))*5i)/(64*(-b)^(3/4)*c^(13/4)) + ((A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) + (5*(45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b))/(64*(-b)^(3/4)*c^(13/4)))*5i)/(64*(-b)^(3/4)*c^(13/4)))/((5*(A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) - (5*(45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b))/(64*(-b)^(3/4)*c^(13/4))))/(64*(-b)^(3/4)*c^(13/4)) - (5*(A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) + (5*(45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b))/(64*(-b)^(3/4)*c^(13/4))))/(64*(-b)^(3/4)*c^(13/4))))*(A*c - 9*B*b)*5i)/(32*(-b)^(3/4)*c^(13/4)) - (5*atan(((5*(A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) - ((45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b)*5i)/(64*(-b)^(3/4)*c^(13/4))))/(64*(-b)^(3/4)*c^(13/4)) + (5*(A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) + ((45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b)*5i)/(64*(-b)^(3/4)*c^(13/4))))/(64*(-b)^(3/4)*c^(13/4)))/(((A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) - ((45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b)*5i)/(64*(-b)^(3/4)*c^(13/4)))*5i)/(64*(-b)^(3/4)*c^(13/4)) - ((A*c - 9*B*b)*((25*x^(1/2)*(A^2*c^2 + 81*B^2*b^2 - 18*A*B*b*c))/(64*c^3) + ((45*B*b^2 - 5*A*b*c)*(A*c - 9*B*b)*5i)/(64*(-b)^(3/4)*c^(13/4)))*5i)/(64*(-b)^(3/4)*c^(13/4))))*(A*c - 9*B*b))/(32*(-b)^(3/4)*c^(13/4))","B"
210,1,122,293,0.173772,"\text{Not used}","int((x^(17/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{3\,\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c+7\,B\,b\right)}{32\,{\left(-b\right)}^{5/4}\,c^{11/4}}-\frac{3\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(A\,c+7\,B\,b\right)}{32\,{\left(-b\right)}^{5/4}\,c^{11/4}}-\frac{\frac{x^{3/2}\,\left(A\,c+7\,B\,b\right)}{16\,c^2}-\frac{x^{7/2}\,\left(3\,A\,c-11\,B\,b\right)}{16\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}","Not used",1,"(3*atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c + 7*B*b))/(32*(-b)^(5/4)*c^(11/4)) - (3*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(A*c + 7*B*b))/(32*(-b)^(5/4)*c^(11/4)) - ((x^(3/2)*(A*c + 7*B*b))/(16*c^2) - (x^(7/2)*(3*A*c - 11*B*b))/(16*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2)","B"
211,1,799,298,0.382967,"\text{Not used}","int((x^(15/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","-\frac{\frac{\sqrt{x}\,\left(3\,A\,c+5\,B\,b\right)}{16\,c^2}-\frac{x^{5/2}\,\left(A\,c-9\,B\,b\right)}{16\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}+\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}-\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}+\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}+\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}}{\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}-\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}-\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}+\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}}\right)\,\left(3\,A\,c+5\,B\,b\right)\,1{}\mathrm{i}}{32\,{\left(-b\right)}^{7/4}\,c^{9/4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}-\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}+\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}+\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}}{\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}-\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}-\frac{\left(3\,A\,c+5\,B\,b\right)\,\left(\frac{\sqrt{x}\,\left(9\,A^2\,c^2+30\,A\,B\,b\,c+25\,B^2\,b^2\right)}{64\,b^2\,c}+\frac{\left(3\,A\,c^2+5\,B\,b\,c\right)\,\left(3\,A\,c+5\,B\,b\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}\right)\,1{}\mathrm{i}}{64\,{\left(-b\right)}^{7/4}\,c^{9/4}}}\right)\,\left(3\,A\,c+5\,B\,b\right)}{32\,{\left(-b\right)}^{7/4}\,c^{9/4}}","Not used",1,"(atan((((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) - ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b))/(64*(-b)^(7/4)*c^(9/4)))*1i)/(64*(-b)^(7/4)*c^(9/4)) + ((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) + ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b))/(64*(-b)^(7/4)*c^(9/4)))*1i)/(64*(-b)^(7/4)*c^(9/4)))/(((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) - ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b))/(64*(-b)^(7/4)*c^(9/4))))/(64*(-b)^(7/4)*c^(9/4)) - ((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) + ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b))/(64*(-b)^(7/4)*c^(9/4))))/(64*(-b)^(7/4)*c^(9/4))))*(3*A*c + 5*B*b)*1i)/(32*(-b)^(7/4)*c^(9/4)) - ((x^(1/2)*(3*A*c + 5*B*b))/(16*c^2) - (x^(5/2)*(A*c - 9*B*b))/(16*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2) + (atan((((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) - ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b)*1i)/(64*(-b)^(7/4)*c^(9/4))))/(64*(-b)^(7/4)*c^(9/4)) + ((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) + ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b)*1i)/(64*(-b)^(7/4)*c^(9/4))))/(64*(-b)^(7/4)*c^(9/4)))/(((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) - ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b)*1i)/(64*(-b)^(7/4)*c^(9/4)))*1i)/(64*(-b)^(7/4)*c^(9/4)) - ((3*A*c + 5*B*b)*((x^(1/2)*(9*A^2*c^2 + 25*B^2*b^2 + 30*A*B*b*c))/(64*b^2*c) + ((3*A*c^2 + 5*B*b*c)*(3*A*c + 5*B*b)*1i)/(64*(-b)^(7/4)*c^(9/4)))*1i)/(64*(-b)^(7/4)*c^(9/4))))*(3*A*c + 5*B*b))/(32*(-b)^(7/4)*c^(9/4))","B"
212,1,124,298,0.164980,"\text{Not used}","int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{x^{7/2}\,\left(5\,A\,c+3\,B\,b\right)}{16\,b^2}+\frac{x^{3/2}\,\left(9\,A\,c-B\,b\right)}{16\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}+\frac{\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(5\,A\,c+3\,B\,b\right)}{32\,{\left(-b\right)}^{9/4}\,c^{7/4}}-\frac{\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(5\,A\,c+3\,B\,b\right)}{32\,{\left(-b\right)}^{9/4}\,c^{7/4}}","Not used",1,"((x^(7/2)*(5*A*c + 3*B*b))/(16*b^2) + (x^(3/2)*(9*A*c - B*b))/(16*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2) + (atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(5*A*c + 3*B*b))/(32*(-b)^(9/4)*c^(7/4)) - (atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(5*A*c + 3*B*b))/(32*(-b)^(9/4)*c^(7/4))","B"
213,1,780,293,0.392392,"\text{Not used}","int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{x^{5/2}\,\left(7\,A\,c+B\,b\right)}{16\,b^2}+\frac{\sqrt{x}\,\left(11\,A\,c-3\,B\,b\right)}{16\,b\,c}}{b^2+2\,b\,c\,x^2+c^2\,x^4}-\frac{\mathrm{atan}\left(\frac{\frac{\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}-\frac{9\,\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)\,3{}\mathrm{i}}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}+\frac{\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}+\frac{9\,\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)\,3{}\mathrm{i}}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}}{\frac{3\,\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}-\frac{9\,\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}-\frac{3\,\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}+\frac{9\,\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}}\right)\,\left(7\,A\,c+B\,b\right)\,3{}\mathrm{i}}{32\,{\left(-b\right)}^{11/4}\,c^{5/4}}-\frac{3\,\mathrm{atan}\left(\frac{\frac{3\,\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}-\frac{\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)\,9{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}+\frac{3\,\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}+\frac{\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)\,9{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}}{\frac{\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}-\frac{\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)\,9{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)\,3{}\mathrm{i}}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}-\frac{\left(7\,A\,c+B\,b\right)\,\left(\frac{9\,\sqrt{x}\,\left(49\,A^2\,c^3+14\,A\,B\,b\,c^2+B^2\,b^2\,c\right)}{64\,b^4}+\frac{\left(7\,A\,c+B\,b\right)\,\left(7\,A\,c^3+B\,b\,c^2\right)\,9{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{5/4}}\right)\,3{}\mathrm{i}}{64\,{\left(-b\right)}^{11/4}\,c^{5/4}}}\right)\,\left(7\,A\,c+B\,b\right)}{32\,{\left(-b\right)}^{11/4}\,c^{5/4}}","Not used",1,"((x^(5/2)*(7*A*c + B*b))/(16*b^2) + (x^(1/2)*(11*A*c - 3*B*b))/(16*b*c))/(b^2 + c^2*x^4 + 2*b*c*x^2) - (atan((((7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) - (9*(7*A*c + B*b)*(7*A*c^3 + B*b*c^2))/(64*(-b)^(15/4)*c^(5/4)))*3i)/(64*(-b)^(11/4)*c^(5/4)) + ((7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) + (9*(7*A*c + B*b)*(7*A*c^3 + B*b*c^2))/(64*(-b)^(15/4)*c^(5/4)))*3i)/(64*(-b)^(11/4)*c^(5/4)))/((3*(7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) - (9*(7*A*c + B*b)*(7*A*c^3 + B*b*c^2))/(64*(-b)^(15/4)*c^(5/4))))/(64*(-b)^(11/4)*c^(5/4)) - (3*(7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) + (9*(7*A*c + B*b)*(7*A*c^3 + B*b*c^2))/(64*(-b)^(15/4)*c^(5/4))))/(64*(-b)^(11/4)*c^(5/4))))*(7*A*c + B*b)*3i)/(32*(-b)^(11/4)*c^(5/4)) - (3*atan(((3*(7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) - ((7*A*c + B*b)*(7*A*c^3 + B*b*c^2)*9i)/(64*(-b)^(15/4)*c^(5/4))))/(64*(-b)^(11/4)*c^(5/4)) + (3*(7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) + ((7*A*c + B*b)*(7*A*c^3 + B*b*c^2)*9i)/(64*(-b)^(15/4)*c^(5/4))))/(64*(-b)^(11/4)*c^(5/4)))/(((7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) - ((7*A*c + B*b)*(7*A*c^3 + B*b*c^2)*9i)/(64*(-b)^(15/4)*c^(5/4)))*3i)/(64*(-b)^(11/4)*c^(5/4)) - ((7*A*c + B*b)*((9*x^(1/2)*(49*A^2*c^3 + B^2*b^2*c + 14*A*B*b*c^2))/(64*b^4) + ((7*A*c + B*b)*(7*A*c^3 + B*b*c^2)*9i)/(64*(-b)^(15/4)*c^(5/4)))*3i)/(64*(-b)^(11/4)*c^(5/4))))*(7*A*c + B*b))/(32*(-b)^(11/4)*c^(5/4))","B"
214,1,133,316,0.261381,"\text{Not used}","int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{5\,\mathrm{atan}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(9\,A\,c-B\,b\right)}{32\,{\left(-b\right)}^{13/4}\,c^{3/4}}-\frac{\frac{2\,A}{b}+\frac{9\,x^2\,\left(9\,A\,c-B\,b\right)}{16\,b^2}+\frac{5\,c\,x^4\,\left(9\,A\,c-B\,b\right)}{16\,b^3}}{b^2\,\sqrt{x}+c^2\,x^{9/2}+2\,b\,c\,x^{5/2}}-\frac{5\,\mathrm{atanh}\left(\frac{c^{1/4}\,\sqrt{x}}{{\left(-b\right)}^{1/4}}\right)\,\left(9\,A\,c-B\,b\right)}{32\,{\left(-b\right)}^{13/4}\,c^{3/4}}","Not used",1,"(5*atan((c^(1/4)*x^(1/2))/(-b)^(1/4))*(9*A*c - B*b))/(32*(-b)^(13/4)*c^(3/4)) - ((2*A)/b + (9*x^2*(9*A*c - B*b))/(16*b^2) + (5*c*x^4*(9*A*c - B*b))/(16*b^3))/(b^2*x^(1/2) + c^2*x^(9/2) + 2*b*c*x^(5/2)) - (5*atanh((c^(1/4)*x^(1/2))/(-b)^(1/4))*(9*A*c - B*b))/(32*(-b)^(13/4)*c^(3/4))","B"
215,1,888,322,0.445900,"\text{Not used}","int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","-\frac{\frac{2\,A}{3\,b}+\frac{11\,x^2\,\left(11\,A\,c-3\,B\,b\right)}{48\,b^2}+\frac{7\,c\,x^4\,\left(11\,A\,c-3\,B\,b\right)}{48\,b^3}}{b^2\,x^{3/2}+c^2\,x^{11/2}+2\,b\,c\,x^{7/2}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)-\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}+\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)+\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}}{\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)-\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}-\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)+\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}}\right)\,\left(11\,A\,c-3\,B\,b\right)\,7{}\mathrm{i}}{32\,{\left(-b\right)}^{15/4}\,c^{1/4}}-\frac{7\,\mathrm{atan}\left(\frac{\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)-\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}+\frac{7\,\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)+\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}}{\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)-\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}-\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(\sqrt{x}\,\left(97140736\,A^2\,b^9\,c^5-52985856\,A\,B\,b^{10}\,c^4+7225344\,B^2\,b^{11}\,c^3\right)+\frac{\left(11\,A\,c-3\,B\,b\right)\,\left(80740352\,A\,b^{13}\,c^4-22020096\,B\,b^{14}\,c^3\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}\right)\,7{}\mathrm{i}}{64\,{\left(-b\right)}^{15/4}\,c^{1/4}}}\right)\,\left(11\,A\,c-3\,B\,b\right)}{32\,{\left(-b\right)}^{15/4}\,c^{1/4}}","Not used",1,"- ((2*A)/(3*b) + (11*x^2*(11*A*c - 3*B*b))/(48*b^2) + (7*c*x^4*(11*A*c - 3*B*b))/(48*b^3))/(b^2*x^(3/2) + c^2*x^(11/2) + 2*b*c*x^(7/2)) - (atan((((11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) - (7*(11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3))/(64*(-b)^(15/4)*c^(1/4)))*7i)/(64*(-b)^(15/4)*c^(1/4)) + ((11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) + (7*(11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3))/(64*(-b)^(15/4)*c^(1/4)))*7i)/(64*(-b)^(15/4)*c^(1/4)))/((7*(11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) - (7*(11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3))/(64*(-b)^(15/4)*c^(1/4))))/(64*(-b)^(15/4)*c^(1/4)) - (7*(11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) + (7*(11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3))/(64*(-b)^(15/4)*c^(1/4))))/(64*(-b)^(15/4)*c^(1/4))))*(11*A*c - 3*B*b)*7i)/(32*(-b)^(15/4)*c^(1/4)) - (7*atan(((7*(11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) - ((11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3)*7i)/(64*(-b)^(15/4)*c^(1/4))))/(64*(-b)^(15/4)*c^(1/4)) + (7*(11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) + ((11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3)*7i)/(64*(-b)^(15/4)*c^(1/4))))/(64*(-b)^(15/4)*c^(1/4)))/(((11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) - ((11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3)*7i)/(64*(-b)^(15/4)*c^(1/4)))*7i)/(64*(-b)^(15/4)*c^(1/4)) - ((11*A*c - 3*B*b)*(x^(1/2)*(97140736*A^2*b^9*c^5 + 7225344*B^2*b^11*c^3 - 52985856*A*B*b^10*c^4) + ((11*A*c - 3*B*b)*(80740352*A*b^13*c^4 - 22020096*B*b^14*c^3)*7i)/(64*(-b)^(15/4)*c^(1/4)))*7i)/(64*(-b)^(15/4)*c^(1/4))))*(11*A*c - 3*B*b))/(32*(-b)^(15/4)*c^(1/4))","B"
216,1,152,343,0.193968,"\text{Not used}","int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{2\,x^2\,\left(13\,A\,c-5\,B\,b\right)}{5\,b^2}-\frac{2\,A}{5\,b}+\frac{9\,c^2\,x^6\,\left(13\,A\,c-5\,B\,b\right)}{16\,b^4}+\frac{81\,c\,x^4\,\left(13\,A\,c-5\,B\,b\right)}{80\,b^3}}{b^2\,x^{5/2}+c^2\,x^{13/2}+2\,b\,c\,x^{9/2}}+\frac{9\,{\left(-c\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(13\,A\,c-5\,B\,b\right)}{32\,b^{17/4}}-\frac{9\,{\left(-c\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(13\,A\,c-5\,B\,b\right)}{32\,b^{17/4}}","Not used",1,"((2*x^2*(13*A*c - 5*B*b))/(5*b^2) - (2*A)/(5*b) + (9*c^2*x^6*(13*A*c - 5*B*b))/(16*b^4) + (81*c*x^4*(13*A*c - 5*B*b))/(80*b^3))/(b^2*x^(5/2) + c^2*x^(13/2) + 2*b*c*x^(9/2)) + (9*(-c)^(1/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(13*A*c - 5*B*b))/(32*b^(17/4)) - (9*(-c)^(1/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(13*A*c - 5*B*b))/(32*b^(17/4))","B"
217,1,626,343,0.449323,"\text{Not used}","int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{\frac{2\,x^2\,\left(15\,A\,c-7\,B\,b\right)}{21\,b^2}-\frac{2\,A}{7\,b}+\frac{11\,c^2\,x^6\,\left(15\,A\,c-7\,B\,b\right)}{48\,b^4}+\frac{121\,c\,x^4\,\left(15\,A\,c-7\,B\,b\right)}{336\,b^3}}{b^2\,x^{7/2}+c^2\,x^{15/2}+2\,b\,c\,x^{11/2}}+\frac{11\,{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{\frac{11\,{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(446054400\,A^2\,b^{12}\,c^7-416317440\,A\,B\,b^{13}\,c^6+97140736\,B^2\,b^{14}\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(173015040\,A\,b^{17}\,c^5-80740352\,B\,b^{18}\,c^4\right)\,11{}\mathrm{i}}{64\,b^{19/4}}\right)}{64\,b^{19/4}}+\frac{11\,{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(446054400\,A^2\,b^{12}\,c^7-416317440\,A\,B\,b^{13}\,c^6+97140736\,B^2\,b^{14}\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(173015040\,A\,b^{17}\,c^5-80740352\,B\,b^{18}\,c^4\right)\,11{}\mathrm{i}}{64\,b^{19/4}}\right)}{64\,b^{19/4}}}{\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(446054400\,A^2\,b^{12}\,c^7-416317440\,A\,B\,b^{13}\,c^6+97140736\,B^2\,b^{14}\,c^5\right)-\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(173015040\,A\,b^{17}\,c^5-80740352\,B\,b^{18}\,c^4\right)\,11{}\mathrm{i}}{64\,b^{19/4}}\right)\,11{}\mathrm{i}}{64\,b^{19/4}}-\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(\sqrt{x}\,\left(446054400\,A^2\,b^{12}\,c^7-416317440\,A\,B\,b^{13}\,c^6+97140736\,B^2\,b^{14}\,c^5\right)+\frac{{\left(-c\right)}^{3/4}\,\left(15\,A\,c-7\,B\,b\right)\,\left(173015040\,A\,b^{17}\,c^5-80740352\,B\,b^{18}\,c^4\right)\,11{}\mathrm{i}}{64\,b^{19/4}}\right)\,11{}\mathrm{i}}{64\,b^{19/4}}}\right)\,\left(15\,A\,c-7\,B\,b\right)}{32\,b^{19/4}}-\frac{{\left(-c\right)}^{3/4}\,\mathrm{atan}\left(\frac{A^3\,c^8\,\sqrt{x}\,3375{}\mathrm{i}-B^3\,b^3\,c^5\,\sqrt{x}\,343{}\mathrm{i}-A^2\,B\,b\,c^7\,\sqrt{x}\,4725{}\mathrm{i}+A\,B^2\,b^2\,c^6\,\sqrt{x}\,2205{}\mathrm{i}}{b^{1/4}\,{\left(-c\right)}^{19/4}\,\left(c\,\left(c\,\left(3375\,A^3\,c-4725\,A^2\,B\,b\right)+2205\,A\,B^2\,b^2\right)-343\,B^3\,b^3\right)}\right)\,\left(15\,A\,c-7\,B\,b\right)\,11{}\mathrm{i}}{32\,b^{19/4}}","Not used",1,"((2*x^2*(15*A*c - 7*B*b))/(21*b^2) - (2*A)/(7*b) + (11*c^2*x^6*(15*A*c - 7*B*b))/(48*b^4) + (121*c*x^4*(15*A*c - 7*B*b))/(336*b^3))/(b^2*x^(7/2) + c^2*x^(15/2) + 2*b*c*x^(11/2)) + (11*(-c)^(3/4)*atan(((11*(-c)^(3/4)*(15*A*c - 7*B*b)*(x^(1/2)*(446054400*A^2*b^12*c^7 + 97140736*B^2*b^14*c^5 - 416317440*A*B*b^13*c^6) - ((-c)^(3/4)*(15*A*c - 7*B*b)*(173015040*A*b^17*c^5 - 80740352*B*b^18*c^4)*11i)/(64*b^(19/4))))/(64*b^(19/4)) + (11*(-c)^(3/4)*(15*A*c - 7*B*b)*(x^(1/2)*(446054400*A^2*b^12*c^7 + 97140736*B^2*b^14*c^5 - 416317440*A*B*b^13*c^6) + ((-c)^(3/4)*(15*A*c - 7*B*b)*(173015040*A*b^17*c^5 - 80740352*B*b^18*c^4)*11i)/(64*b^(19/4))))/(64*b^(19/4)))/(((-c)^(3/4)*(15*A*c - 7*B*b)*(x^(1/2)*(446054400*A^2*b^12*c^7 + 97140736*B^2*b^14*c^5 - 416317440*A*B*b^13*c^6) - ((-c)^(3/4)*(15*A*c - 7*B*b)*(173015040*A*b^17*c^5 - 80740352*B*b^18*c^4)*11i)/(64*b^(19/4)))*11i)/(64*b^(19/4)) - ((-c)^(3/4)*(15*A*c - 7*B*b)*(x^(1/2)*(446054400*A^2*b^12*c^7 + 97140736*B^2*b^14*c^5 - 416317440*A*B*b^13*c^6) + ((-c)^(3/4)*(15*A*c - 7*B*b)*(173015040*A*b^17*c^5 - 80740352*B*b^18*c^4)*11i)/(64*b^(19/4)))*11i)/(64*b^(19/4))))*(15*A*c - 7*B*b))/(32*b^(19/4)) - ((-c)^(3/4)*atan((A^3*c^8*x^(1/2)*3375i - B^3*b^3*c^5*x^(1/2)*343i - A^2*B*b*c^7*x^(1/2)*4725i + A*B^2*b^2*c^6*x^(1/2)*2205i)/(b^(1/4)*(-c)^(19/4)*(c*(c*(3375*A^3*c - 4725*A^2*B*b) + 2205*A*B^2*b^2) - 343*B^3*b^3)))*(15*A*c - 7*B*b)*11i)/(32*b^(19/4))","B"
218,1,173,365,0.289267,"\text{Not used}","int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^3,x)","\frac{13\,{\left(-c\right)}^{5/4}\,\mathrm{atan}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(17\,A\,c-9\,B\,b\right)}{32\,b^{21/4}}-\frac{\frac{2\,A}{9\,b}-\frac{2\,x^2\,\left(17\,A\,c-9\,B\,b\right)}{45\,b^2}+\frac{117\,c^2\,x^6\,\left(17\,A\,c-9\,B\,b\right)}{80\,b^4}+\frac{13\,c^3\,x^8\,\left(17\,A\,c-9\,B\,b\right)}{16\,b^5}+\frac{26\,c\,x^4\,\left(17\,A\,c-9\,B\,b\right)}{45\,b^3}}{b^2\,x^{9/2}+c^2\,x^{17/2}+2\,b\,c\,x^{13/2}}-\frac{13\,{\left(-c\right)}^{5/4}\,\mathrm{atanh}\left(\frac{{\left(-c\right)}^{1/4}\,\sqrt{x}}{b^{1/4}}\right)\,\left(17\,A\,c-9\,B\,b\right)}{32\,b^{21/4}}","Not used",1,"(13*(-c)^(5/4)*atan(((-c)^(1/4)*x^(1/2))/b^(1/4))*(17*A*c - 9*B*b))/(32*b^(21/4)) - ((2*A)/(9*b) - (2*x^2*(17*A*c - 9*B*b))/(45*b^2) + (117*c^2*x^6*(17*A*c - 9*B*b))/(80*b^4) + (13*c^3*x^8*(17*A*c - 9*B*b))/(16*b^5) + (26*c*x^4*(17*A*c - 9*B*b))/(45*b^3))/(b^2*x^(9/2) + c^2*x^(17/2) + 2*b*c*x^(13/2)) - (13*(-c)^(5/4)*atanh(((-c)^(1/4)*x^(1/2))/b^(1/4))*(17*A*c - 9*B*b))/(32*b^(21/4))","B"
219,1,639,365,0.506592,"\text{Not used}","int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^3),x)","\frac{15\,{\left(-c\right)}^{7/4}\,\mathrm{atan}\left(\frac{6859\,A^3\,c^{10}\,\sqrt{x}-1331\,B^3\,b^3\,c^7\,\sqrt{x}-11913\,A^2\,B\,b\,c^9\,\sqrt{x}+6897\,A\,B^2\,b^2\,c^8\,\sqrt{x}}{b^{1/4}\,{\left(-c\right)}^{27/4}\,\left(c\,\left(c\,\left(6859\,A^3\,c-11913\,A^2\,B\,b\right)+6897\,A\,B^2\,b^2\right)-1331\,B^3\,b^3\right)}\right)\,\left(19\,A\,c-11\,B\,b\right)}{32\,b^{23/4}}-\frac{\frac{2\,A}{11\,b}-\frac{2\,x^2\,\left(19\,A\,c-11\,B\,b\right)}{77\,b^2}+\frac{55\,c^2\,x^6\,\left(19\,A\,c-11\,B\,b\right)}{112\,b^4}+\frac{5\,c^3\,x^8\,\left(19\,A\,c-11\,B\,b\right)}{16\,b^5}+\frac{10\,c\,x^4\,\left(19\,A\,c-11\,B\,b\right)}{77\,b^3}}{b^2\,x^{11/2}+c^2\,x^{19/2}+2\,b\,c\,x^{15/2}}-\frac{{\left(-c\right)}^{7/4}\,\mathrm{atan}\left(\frac{\frac{{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(\sqrt{x}\,\left(1330790400\,A^2\,b^{15}\,c^9-1540915200\,A\,B\,b^{16}\,c^8+446054400\,B^2\,b^{17}\,c^7\right)-\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(298844160\,A\,b^{21}\,c^6-173015040\,B\,b^{22}\,c^5\right)}{64\,b^{23/4}}\right)\,15{}\mathrm{i}}{64\,b^{23/4}}+\frac{{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(\sqrt{x}\,\left(1330790400\,A^2\,b^{15}\,c^9-1540915200\,A\,B\,b^{16}\,c^8+446054400\,B^2\,b^{17}\,c^7\right)+\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(298844160\,A\,b^{21}\,c^6-173015040\,B\,b^{22}\,c^5\right)}{64\,b^{23/4}}\right)\,15{}\mathrm{i}}{64\,b^{23/4}}}{\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(\sqrt{x}\,\left(1330790400\,A^2\,b^{15}\,c^9-1540915200\,A\,B\,b^{16}\,c^8+446054400\,B^2\,b^{17}\,c^7\right)-\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(298844160\,A\,b^{21}\,c^6-173015040\,B\,b^{22}\,c^5\right)}{64\,b^{23/4}}\right)}{64\,b^{23/4}}-\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(\sqrt{x}\,\left(1330790400\,A^2\,b^{15}\,c^9-1540915200\,A\,B\,b^{16}\,c^8+446054400\,B^2\,b^{17}\,c^7\right)+\frac{15\,{\left(-c\right)}^{7/4}\,\left(19\,A\,c-11\,B\,b\right)\,\left(298844160\,A\,b^{21}\,c^6-173015040\,B\,b^{22}\,c^5\right)}{64\,b^{23/4}}\right)}{64\,b^{23/4}}}\right)\,\left(19\,A\,c-11\,B\,b\right)\,15{}\mathrm{i}}{32\,b^{23/4}}","Not used",1,"(15*(-c)^(7/4)*atan((6859*A^3*c^10*x^(1/2) - 1331*B^3*b^3*c^7*x^(1/2) - 11913*A^2*B*b*c^9*x^(1/2) + 6897*A*B^2*b^2*c^8*x^(1/2))/(b^(1/4)*(-c)^(27/4)*(c*(c*(6859*A^3*c - 11913*A^2*B*b) + 6897*A*B^2*b^2) - 1331*B^3*b^3)))*(19*A*c - 11*B*b))/(32*b^(23/4)) - ((2*A)/(11*b) - (2*x^2*(19*A*c - 11*B*b))/(77*b^2) + (55*c^2*x^6*(19*A*c - 11*B*b))/(112*b^4) + (5*c^3*x^8*(19*A*c - 11*B*b))/(16*b^5) + (10*c*x^4*(19*A*c - 11*B*b))/(77*b^3))/(b^2*x^(11/2) + c^2*x^(19/2) + 2*b*c*x^(15/2)) - ((-c)^(7/4)*atan((((-c)^(7/4)*(19*A*c - 11*B*b)*(x^(1/2)*(1330790400*A^2*b^15*c^9 + 446054400*B^2*b^17*c^7 - 1540915200*A*B*b^16*c^8) - (15*(-c)^(7/4)*(19*A*c - 11*B*b)*(298844160*A*b^21*c^6 - 173015040*B*b^22*c^5))/(64*b^(23/4)))*15i)/(64*b^(23/4)) + ((-c)^(7/4)*(19*A*c - 11*B*b)*(x^(1/2)*(1330790400*A^2*b^15*c^9 + 446054400*B^2*b^17*c^7 - 1540915200*A*B*b^16*c^8) + (15*(-c)^(7/4)*(19*A*c - 11*B*b)*(298844160*A*b^21*c^6 - 173015040*B*b^22*c^5))/(64*b^(23/4)))*15i)/(64*b^(23/4)))/((15*(-c)^(7/4)*(19*A*c - 11*B*b)*(x^(1/2)*(1330790400*A^2*b^15*c^9 + 446054400*B^2*b^17*c^7 - 1540915200*A*B*b^16*c^8) - (15*(-c)^(7/4)*(19*A*c - 11*B*b)*(298844160*A*b^21*c^6 - 173015040*B*b^22*c^5))/(64*b^(23/4))))/(64*b^(23/4)) - (15*(-c)^(7/4)*(19*A*c - 11*B*b)*(x^(1/2)*(1330790400*A^2*b^15*c^9 + 446054400*B^2*b^17*c^7 - 1540915200*A*B*b^16*c^8) + (15*(-c)^(7/4)*(19*A*c - 11*B*b)*(298844160*A*b^21*c^6 - 173015040*B*b^22*c^5))/(64*b^(23/4))))/(64*b^(23/4))))*(19*A*c - 11*B*b)*15i)/(32*b^(23/4))","B"
220,0,-1,243,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\int x^{5/2}\,\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2} \,d x","Not used",1,"int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2), x)","F"
221,0,-1,369,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\int x^{3/2}\,\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2), x)","F"
222,0,-1,204,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2),x)","\int \sqrt{x}\,\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(1/2), x)","F"
223,0,-1,326,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(1/2), x)","F"
224,0,-1,165,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(3/2), x)","F"
225,0,-1,323,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(5/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(5/2), x)","F"
226,0,-1,163,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(7/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(7/2), x)","F"
227,0,-1,328,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(9/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{9/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(9/2), x)","F"
228,0,-1,167,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(11/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{11/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(11/2), x)","F"
229,0,-1,369,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(13/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{13/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(13/2), x)","F"
230,0,-1,204,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(15/2),x)","\int \frac{\left(B\,x^2+A\right)\,\sqrt{c\,x^4+b\,x^2}}{x^{15/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(1/2))/x^(15/2), x)","F"
231,0,-1,486,0.000000,"\text{Not used}","int(x^(7/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int x^{7/2}\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(7/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
232,0,-1,321,0.000000,"\text{Not used}","int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int x^{5/2}\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(5/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
233,0,-1,447,0.000000,"\text{Not used}","int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int x^{3/2}\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(3/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
234,0,-1,282,0.000000,"\text{Not used}","int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2),x)","\int \sqrt{x}\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2} \,d x","Not used",1,"int(x^(1/2)*(A + B*x^2)*(b*x^2 + c*x^4)^(3/2), x)","F"
235,0,-1,408,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{\sqrt{x}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(1/2), x)","F"
236,0,-1,239,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(3/2), x)","F"
237,0,-1,369,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(5/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{5/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(5/2), x)","F"
238,0,-1,201,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(7/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{7/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(7/2), x)","F"
239,0,-1,356,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(9/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{9/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(9/2), x)","F"
240,0,-1,200,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(11/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{11/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(11/2), x)","F"
241,0,-1,354,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(13/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{13/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(13/2), x)","F"
242,0,-1,204,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(15/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{15/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(15/2), x)","F"
243,0,-1,364,0.000000,"\text{Not used}","int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(17/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^{3/2}}{x^{17/2}} \,d x","Not used",1,"int(((A + B*x^2)*(b*x^2 + c*x^4)^(3/2))/x^(17/2), x)","F"
244,0,-1,243,0.000000,"\text{Not used}","int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{13/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
245,0,-1,369,0.000000,"\text{Not used}","int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{11/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
246,0,-1,204,0.000000,"\text{Not used}","int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{9/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
247,0,-1,330,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{7/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
248,0,-1,167,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{5/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
249,0,-1,293,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{x^{3/2}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
250,0,-1,130,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2),x)","\int \frac{\sqrt{x}\,\left(B\,x^2+A\right)}{\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(1/2), x)","F"
251,0,-1,281,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{\sqrt{x}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
252,0,-1,131,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^{3/2}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
253,0,-1,332,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(5/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^{5/2}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(5/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
254,0,-1,167,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(7/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^{7/2}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(7/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
255,0,-1,369,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(9/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^{9/2}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(9/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
256,0,-1,204,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(11/2)*(b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{x^{11/2}\,\sqrt{c\,x^4+b\,x^2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(11/2)*(b*x^2 + c*x^4)^(1/2)), x)","F"
257,0,-1,251,0.000000,"\text{Not used}","int((x^(17/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{17/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(17/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
258,0,-1,377,0.000000,"\text{Not used}","int((x^(15/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{15/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(15/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
259,0,-1,214,0.000000,"\text{Not used}","int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{13/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(13/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
260,0,-1,340,0.000000,"\text{Not used}","int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{11/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(11/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
261,0,-1,178,0.000000,"\text{Not used}","int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{9/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(9/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
262,0,-1,299,0.000000,"\text{Not used}","int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{7/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(7/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
263,0,-1,137,0.000000,"\text{Not used}","int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{5/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(5/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
264,0,-1,318,0.000000,"\text{Not used}","int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{x^{3/2}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(3/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
265,0,-1,167,0.000000,"\text{Not used}","int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2),x)","\int \frac{\sqrt{x}\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((x^(1/2)*(A + B*x^2))/(b*x^2 + c*x^4)^(3/2), x)","F"
266,0,-1,368,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^(3/2)),x)","\int \frac{B\,x^2+A}{\sqrt{x}\,{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(1/2)*(b*x^2 + c*x^4)^(3/2)), x)","F"
267,0,-1,203,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)^(3/2)),x)","\int \frac{B\,x^2+A}{x^{3/2}\,{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(3/2)*(b*x^2 + c*x^4)^(3/2)), x)","F"
268,0,-1,405,0.000000,"\text{Not used}","int((A + B*x^2)/(x^(5/2)*(b*x^2 + c*x^4)^(3/2)),x)","\int \frac{B\,x^2+A}{x^{5/2}\,{\left(c\,x^4+b\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(x^(5/2)*(b*x^2 + c*x^4)^(3/2)), x)","F"
269,1,291,96,0.476995,"\text{Not used}","int(x^m*(A + B*x^2)*(b*x^2 + c*x^4)^3,x)","\frac{A\,b^3\,x^m\,x^7\,\left(m^4+48\,m^3+854\,m^2+6672\,m+19305\right)}{m^5+55\,m^4+1190\,m^3+12650\,m^2+66009\,m+135135}+\frac{B\,c^3\,x^m\,x^{15}\,\left(m^4+40\,m^3+590\,m^2+3800\,m+9009\right)}{m^5+55\,m^4+1190\,m^3+12650\,m^2+66009\,m+135135}+\frac{b^2\,x^m\,x^9\,\left(3\,A\,c+B\,b\right)\,\left(m^4+46\,m^3+776\,m^2+5666\,m+15015\right)}{m^5+55\,m^4+1190\,m^3+12650\,m^2+66009\,m+135135}+\frac{c^2\,x^m\,x^{13}\,\left(A\,c+3\,B\,b\right)\,\left(m^4+42\,m^3+644\,m^2+4278\,m+10395\right)}{m^5+55\,m^4+1190\,m^3+12650\,m^2+66009\,m+135135}+\frac{3\,b\,c\,x^m\,x^{11}\,\left(A\,c+B\,b\right)\,\left(m^4+44\,m^3+706\,m^2+4884\,m+12285\right)}{m^5+55\,m^4+1190\,m^3+12650\,m^2+66009\,m+135135}","Not used",1,"(A*b^3*x^m*x^7*(6672*m + 854*m^2 + 48*m^3 + m^4 + 19305))/(66009*m + 12650*m^2 + 1190*m^3 + 55*m^4 + m^5 + 135135) + (B*c^3*x^m*x^15*(3800*m + 590*m^2 + 40*m^3 + m^4 + 9009))/(66009*m + 12650*m^2 + 1190*m^3 + 55*m^4 + m^5 + 135135) + (b^2*x^m*x^9*(3*A*c + B*b)*(5666*m + 776*m^2 + 46*m^3 + m^4 + 15015))/(66009*m + 12650*m^2 + 1190*m^3 + 55*m^4 + m^5 + 135135) + (c^2*x^m*x^13*(A*c + 3*B*b)*(4278*m + 644*m^2 + 42*m^3 + m^4 + 10395))/(66009*m + 12650*m^2 + 1190*m^3 + 55*m^4 + m^5 + 135135) + (3*b*c*x^m*x^11*(A*c + B*b)*(4884*m + 706*m^2 + 44*m^3 + m^4 + 12285))/(66009*m + 12650*m^2 + 1190*m^3 + 55*m^4 + m^5 + 135135)","B"
270,1,179,71,0.340007,"\text{Not used}","int(x^m*(A + B*x^2)*(b*x^2 + c*x^4)^2,x)","x^m\,\left(\frac{A\,b^2\,x^5\,\left(m^3+27\,m^2+239\,m+693\right)}{m^4+32\,m^3+374\,m^2+1888\,m+3465}+\frac{B\,c^2\,x^{11}\,\left(m^3+21\,m^2+143\,m+315\right)}{m^4+32\,m^3+374\,m^2+1888\,m+3465}+\frac{b\,x^7\,\left(2\,A\,c+B\,b\right)\,\left(m^3+25\,m^2+199\,m+495\right)}{m^4+32\,m^3+374\,m^2+1888\,m+3465}+\frac{c\,x^9\,\left(A\,c+2\,B\,b\right)\,\left(m^3+23\,m^2+167\,m+385\right)}{m^4+32\,m^3+374\,m^2+1888\,m+3465}\right)","Not used",1,"x^m*((A*b^2*x^5*(239*m + 27*m^2 + m^3 + 693))/(1888*m + 374*m^2 + 32*m^3 + m^4 + 3465) + (B*c^2*x^11*(143*m + 21*m^2 + m^3 + 315))/(1888*m + 374*m^2 + 32*m^3 + m^4 + 3465) + (b*x^7*(2*A*c + B*b)*(199*m + 25*m^2 + m^3 + 495))/(1888*m + 374*m^2 + 32*m^3 + m^4 + 3465) + (c*x^9*(A*c + 2*B*b)*(167*m + 23*m^2 + m^3 + 385))/(1888*m + 374*m^2 + 32*m^3 + m^4 + 3465))","B"
271,1,97,45,0.247177,"\text{Not used}","int(x^m*(A + B*x^2)*(b*x^2 + c*x^4),x)","x^m\,\left(\frac{x^5\,\left(A\,c+B\,b\right)\,\left(m^2+10\,m+21\right)}{m^3+15\,m^2+71\,m+105}+\frac{A\,b\,x^3\,\left(m^2+12\,m+35\right)}{m^3+15\,m^2+71\,m+105}+\frac{B\,c\,x^7\,\left(m^2+8\,m+15\right)}{m^3+15\,m^2+71\,m+105}\right)","Not used",1,"x^m*((x^5*(A*c + B*b)*(10*m + m^2 + 21))/(71*m + 15*m^2 + m^3 + 105) + (A*b*x^3*(12*m + m^2 + 35))/(71*m + 15*m^2 + m^3 + 105) + (B*c*x^7*(8*m + m^2 + 15))/(71*m + 15*m^2 + m^3 + 105))","B"
272,0,-1,71,0.000000,"\text{Not used}","int((x^m*(A + B*x^2))/(b*x^2 + c*x^4),x)","\int \frac{x^m\,\left(B\,x^2+A\right)}{c\,x^4+b\,x^2} \,d x","Not used",1,"int((x^m*(A + B*x^2))/(b*x^2 + c*x^4), x)","F"
273,0,-1,98,0.000000,"\text{Not used}","int((x^m*(A + B*x^2))/(b*x^2 + c*x^4)^2,x)","\int \frac{x^m\,\left(B\,x^2+A\right)}{{\left(c\,x^4+b\,x^2\right)}^2} \,d x","Not used",1,"int((x^m*(A + B*x^2))/(b*x^2 + c*x^4)^2, x)","F"
274,0,-1,140,0.000000,"\text{Not used}","int(x^m*(A + B*x^2)*(b*x^2 + c*x^4)^p,x)","\int x^m\,\left(B\,x^2+A\right)\,{\left(c\,x^4+b\,x^2\right)}^p \,d x","Not used",1,"int(x^m*(A + B*x^2)*(b*x^2 + c*x^4)^p, x)","F"
275,0,-1,95,0.000000,"\text{Not used}","int(x^(n - j*p - 1)*(a*x^j + b*x^(j + n))^p*(c + d*x^n),x)","\int x^{n-j\,p-1}\,{\left(a\,x^j+b\,x^{j+n}\right)}^p\,\left(c+d\,x^n\right) \,d x","Not used",1,"int(x^(n - j*p - 1)*(a*x^j + b*x^(j + n))^p*(c + d*x^n), x)","F"
276,0,-1,113,0.000000,"\text{Not used}","int((a*x^j + b*x^(j + n))^p*(e*x)^m*(c + d*x^n)^q,x)","\int {\left(a\,x^j+b\,x^{j+n}\right)}^p\,{\left(e\,x\right)}^m\,{\left(c+d\,x^n\right)}^q \,d x","Not used",1,"int((a*x^j + b*x^(j + n))^p*(e*x)^m*(c + d*x^n)^q, x)","F"
277,0,-1,129,0.000000,"\text{Not used}","int((a*x^j + b*x^(j + n))^(5/3)*(e*x)^(7/4)*(c + d*x^n)^q,x)","\int {\left(a\,x^j+b\,x^{j+n}\right)}^{5/3}\,{\left(e\,x\right)}^{7/4}\,{\left(c+d\,x^n\right)}^q \,d x","Not used",1,"int((a*x^j + b*x^(j + n))^(5/3)*(e*x)^(7/4)*(c + d*x^n)^q, x)","F"
278,1,13,19,0.170748,"\text{Not used}","int((3*x^4 + 4)/(5*x + 2*x^5),x)","\frac{7\,\ln\left(x^4+\frac{5}{2}\right)}{40}+\frac{4\,\ln\left(x\right)}{5}","Not used",1,"(7*log(x^4 + 5/2))/40 + (4*log(x))/5","B"
279,1,11,15,0.152705,"\text{Not used}","int((x^6 + 1)/(x - x^7),x)","\ln\left(x\right)-\frac{\ln\left(x^6-1\right)}{3}","Not used",1,"log(x) - log(x^6 - 1)/3","B"
280,1,13,17,0.139319,"\text{Not used}","int((5*x^10 + 8)/(2*x - x^11),x)","4\,\ln\left(x\right)-\frac{9\,\ln\left(x^{10}-2\right)}{10}","Not used",1,"4*log(x) - (9*log(x^10 - 2))/10","B"
281,1,14,16,0.129451,"\text{Not used}","int(-(2*x - 3)/(x^2 - x^3),x)","2\,\mathrm{atanh}\left(2\,x-1\right)-\frac{3}{x}","Not used",1,"2*atanh(2*x - 1) - 3/x","B"
282,0,-1,54,0.000000,"\text{Not used}","int((a*x^m + b*x^n)/(c*x^m + d*x^n),x)","\int \frac{a\,x^m+b\,x^n}{c\,x^m+d\,x^n} \,d x","Not used",1,"int((a*x^m + b*x^n)/(c*x^m + d*x^n), x)","F"
283,0,-1,18,0.000000,"\text{Not used}","int(x^m*(a*x^q*(m + q + 1) + b*x^(n + q)*(m + q + n*(p + 1) + 1))*(a + b*x^n)^p,x)","\int x^m\,\left(a\,x^q\,\left(m+q+1\right)+b\,x^{n+q}\,\left(m+q+n\,\left(p+1\right)+1\right)\right)\,{\left(a+b\,x^n\right)}^p \,d x","Not used",1,"int(x^m*(a*x^q*(m + q + 1) + b*x^(n + q)*(m + q + n*(p + 1) + 1))*(a + b*x^n)^p, x)","F"
284,0,-1,64,0.000000,"\text{Not used}","int((x^m*(a + b/x)^n)/(c + d*x),x)","\int \frac{x^m\,{\left(a+\frac{b}{x}\right)}^n}{c+d\,x} \,d x","Not used",1,"int((x^m*(a + b/x)^n)/(c + d*x), x)","F"
285,0,-1,195,0.000000,"\text{Not used}","int((x^2*(a + b/x)^n)/(c + d*x),x)","\int \frac{x^2\,{\left(a+\frac{b}{x}\right)}^n}{c+d\,x} \,d x","Not used",1,"int((x^2*(a + b/x)^n)/(c + d*x), x)","F"
286,0,-1,131,0.000000,"\text{Not used}","int((x*(a + b/x)^n)/(c + d*x),x)","\int \frac{x\,{\left(a+\frac{b}{x}\right)}^n}{c+d\,x} \,d x","Not used",1,"int((x*(a + b/x)^n)/(c + d*x), x)","F"
287,0,-1,101,0.000000,"\text{Not used}","int((a + b/x)^n/(c + d*x),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{c+d\,x} \,d x","Not used",1,"int((a + b/x)^n/(c + d*x), x)","F"
288,0,-1,54,0.000000,"\text{Not used}","int((a + b/x)^n/(x*(c + d*x)),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b/x)^n/(x*(c + d*x)), x)","F"
289,0,-1,84,0.000000,"\text{Not used}","int((a + b/x)^n/(x^2*(c + d*x)),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x^2\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b/x)^n/(x^2*(c + d*x)), x)","F"
290,0,-1,115,0.000000,"\text{Not used}","int((a + b/x)^n/(x^3*(c + d*x)),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x^3\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b/x)^n/(x^3*(c + d*x)), x)","F"
291,0,-1,207,0.000000,"\text{Not used}","int((a + b/x)^n/(x^5*(c + d*x)),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x^5\,\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b/x)^n/(x^5*(c + d*x)), x)","F"
292,0,-1,73,0.000000,"\text{Not used}","int((x^m*(a + b/x)^n)/(c + d*x)^2,x)","\int \frac{x^m\,{\left(a+\frac{b}{x}\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x^m*(a + b/x)^n)/(c + d*x)^2, x)","F"
293,0,-1,202,0.000000,"\text{Not used}","int((x^2*(a + b/x)^n)/(c + d*x)^2,x)","\int \frac{x^2\,{\left(a+\frac{b}{x}\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x^2*(a + b/x)^n)/(c + d*x)^2, x)","F"
294,0,-1,150,0.000000,"\text{Not used}","int((x*(a + b/x)^n)/(c + d*x)^2,x)","\int \frac{x\,{\left(a+\frac{b}{x}\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((x*(a + b/x)^n)/(c + d*x)^2, x)","F"
295,0,-1,56,0.000000,"\text{Not used}","int((a + b/x)^n/(c + d*x)^2,x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b/x)^n/(c + d*x)^2, x)","F"
296,0,-1,105,0.000000,"\text{Not used}","int((a + b/x)^n/(x*(c + d*x)^2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b/x)^n/(x*(c + d*x)^2), x)","F"
297,0,-1,133,0.000000,"\text{Not used}","int((a + b/x)^n/(x^2*(c + d*x)^2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x^2\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b/x)^n/(x^2*(c + d*x)^2), x)","F"
298,0,-1,217,0.000000,"\text{Not used}","int((a + b/x)^n/(x^3*(c + d*x)^2),x)","\int \frac{{\left(a+\frac{b}{x}\right)}^n}{x^3\,{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((a + b/x)^n/(x^3*(c + d*x)^2), x)","F"