1,1,28,27,0.043000," ","int(x^2*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{B c \,x^{9}}{9}+\frac{A b \,x^{5}}{5}+\frac{\left(A c +b B \right) x^{7}}{7}"," ",0,"1/5*A*b*x^5+1/7*(A*c+B*b)*x^7+1/9*B*c*x^9","A"
2,1,28,27,0.044000," ","int(x*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{B c \,x^{8}}{8}+\frac{A b \,x^{4}}{4}+\frac{\left(A c +b B \right) x^{6}}{6}"," ",0,"1/4*A*b*x^4+1/6*(A*c+B*b)*x^6+1/8*B*c*x^8","A"
3,1,28,27,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2),x)","\frac{B c \,x^{7}}{7}+\frac{A b \,x^{3}}{3}+\frac{\left(A c +b B \right) x^{5}}{5}"," ",0,"1/3*A*b*x^3+1/5*(A*c+B*b)*x^5+1/7*B*c*x^7","A"
4,1,28,27,0.043000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x,x)","\frac{B c \,x^{6}}{6}+\frac{A b \,x^{2}}{2}+\frac{\left(A c +b B \right) x^{4}}{4}"," ",0,"1/2*A*b*x^2+1/4*(A*c+B*b)*x^4+1/6*B*c*x^6","A"
5,1,25,24,0.041000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^2,x)","\frac{B c \,x^{5}}{5}+A b x +\frac{\left(A c +b B \right) x^{3}}{3}"," ",0,"A*b*x+1/3*(A*c+B*b)*x^3+1/5*B*c*x^5","A"
6,1,28,25,0.041000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^3,x)","\frac{B c \,x^{4}}{4}+\frac{A c \,x^{2}}{2}+\frac{B b \,x^{2}}{2}+A b \ln \left(x \right)"," ",0,"1/4*B*c*x^4+1/2*A*x^2*c+1/2*B*b*x^2+A*b*ln(x)","A"
7,1,24,24,0.059000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^4,x)","\frac{B c \,x^{3}}{3}+A c x +B b x -\frac{A b}{x}"," ",0,"1/3*B*c*x^3+A*c*x+B*b*x-A*b/x","A"
8,1,26,25,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^5,x)","\frac{B c \,x^{2}}{2}+A c \ln \left(x \right)+B b \ln \left(x \right)-\frac{A b}{2 x^{2}}"," ",0,"1/2*B*c*x^2-1/2*A*b/x^2+A*ln(x)*c+B*b*ln(x)","A"
9,1,25,25,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^6,x)","B c x -\frac{A b}{3 x^{3}}-\frac{A c +b B}{x}"," ",0,"B*c*x-1/3*A*b/x^3-(A*c+B*b)/x","A"
10,1,28,27,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^7,x)","B c \ln \left(x \right)-\frac{A c}{2 x^{2}}-\frac{B b}{2 x^{2}}-\frac{A b}{4 x^{4}}"," ",0,"-1/4*A*b/x^4-1/2/x^2*A*c-1/2/x^2*b*B+B*c*ln(x)","A"
11,1,28,29,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^8,x)","-\frac{B c}{x}-\frac{A b}{5 x^{5}}-\frac{A c +b B}{3 x^{3}}"," ",0,"-1/5*A*b/x^5-1/3*(A*c+B*b)/x^3-B*c/x","A"
12,1,52,47,0.043000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2,x)","\frac{B \,c^{2} x^{11}}{11}+\frac{\left(A \,c^{2}+2 b B c \right) x^{9}}{9}+\frac{A \,b^{2} x^{5}}{5}+\frac{\left(2 A b c +B \,b^{2}\right) x^{7}}{7}"," ",0,"1/11*B*c^2*x^11+1/9*(A*c^2+2*B*b*c)*x^9+1/7*(2*A*b*c+B*b^2)*x^7+1/5*A*b^2*x^5","A"
13,1,52,47,0.044000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x,x)","\frac{B \,c^{2} x^{10}}{10}+\frac{\left(A \,c^{2}+2 b B c \right) x^{8}}{8}+\frac{A \,b^{2} x^{4}}{4}+\frac{\left(2 A b c +B \,b^{2}\right) x^{6}}{6}"," ",0,"1/10*B*c^2*x^10+1/8*(A*c^2+2*B*b*c)*x^8+1/6*(2*A*b*c+B*b^2)*x^6+1/4*A*b^2*x^4","A"
14,1,52,47,0.044000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^2,x)","\frac{B \,c^{2} x^{9}}{9}+\frac{\left(A \,c^{2}+2 b B c \right) x^{7}}{7}+\frac{A \,b^{2} x^{3}}{3}+\frac{\left(2 A b c +B \,b^{2}\right) x^{5}}{5}"," ",0,"1/9*B*c^2*x^9+1/7*(A*c^2+2*B*b*c)*x^7+1/5*(2*A*b*c+B*b^2)*x^5+1/3*A*b^2*x^3","A"
15,1,52,38,0.039000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^3,x)","\frac{B \,c^{2} x^{8}}{8}+\frac{\left(A \,c^{2}+2 b B c \right) x^{6}}{6}+\frac{A \,b^{2} x^{2}}{2}+\frac{\left(2 A b c +B \,b^{2}\right) x^{4}}{4}"," ",0,"1/8*B*c^2*x^8+1/6*(A*c^2+2*B*b*c)*x^6+1/4*(2*A*b*c+B*b^2)*x^4+1/2*b^2*A*x^2","A"
16,1,49,44,0.048000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^4,x)","\frac{B \,c^{2} x^{7}}{7}+\frac{\left(A \,c^{2}+2 b B c \right) x^{5}}{5}+A \,b^{2} x +\frac{\left(2 A b c +B \,b^{2}\right) x^{3}}{3}"," ",0,"1/7*B*c^2*x^7+1/5*(A*c^2+2*B*b*c)*x^5+1/3*(2*A*b*c+B*b^2)*x^3+A*b^2*x","A"
17,1,51,39,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^5,x)","\frac{B \,c^{2} x^{6}}{6}+\frac{A \,c^{2} x^{4}}{4}+\frac{B b c \,x^{4}}{2}+A b c \,x^{2}+\frac{B \,b^{2} x^{2}}{2}+A \,b^{2} \ln \left(x \right)"," ",0,"1/6*B*c^2*x^6+1/4*A*c^2*x^4+1/2*B*x^4*b*c+A*b*c*x^2+1/2*B*b^2*x^2+A*b^2*ln(x)","A"
18,1,49,44,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^6,x)","\frac{B \,c^{2} x^{5}}{5}+\frac{A \,c^{2} x^{3}}{3}+\frac{2 B b c \,x^{3}}{3}+2 A b c x +B \,b^{2} x -\frac{A \,b^{2}}{x}"," ",0,"1/5*B*c^2*x^5+1/3*A*x^3*c^2+2/3*B*x^3*b*c+2*A*b*c*x+B*b^2*x-A*b^2/x","A"
19,1,50,45,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^7,x)","\frac{B \,c^{2} x^{4}}{4}+\frac{A \,c^{2} x^{2}}{2}+B b c \,x^{2}+2 A b c \ln \left(x \right)+B \,b^{2} \ln \left(x \right)-\frac{A \,b^{2}}{2 x^{2}}"," ",0,"1/4*B*c^2*x^4+1/2*A*x^2*c^2+B*x^2*b*c-1/2*A*b^2/x^2+2*A*ln(x)*b*c+B*ln(x)*b^2","A"
20,1,46,44,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^8,x)","\frac{B \,c^{2} x^{3}}{3}+A \,c^{2} x +2 B b c x -\frac{A \,b^{2}}{3 x^{3}}-\frac{\left(2 A c +b B \right) b}{x}"," ",0,"1/3*B*c^2*x^3+A*c^2*x+2*b*B*c*x-1/3*A*b^2/x^3-b*(2*A*c+B*b)/x","A"
21,1,51,45,0.056000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^9,x)","\frac{B \,c^{2} x^{2}}{2}+A \,c^{2} \ln \left(x \right)+2 B b c \ln \left(x \right)-\frac{A b c}{x^{2}}-\frac{B \,b^{2}}{2 x^{2}}-\frac{A \,b^{2}}{4 x^{4}}"," ",0,"1/2*B*c^2*x^2-1/4*A*b^2/x^4-b/x^2*A*c-1/2*b^2/x^2*B+A*ln(x)*c^2+2*B*ln(x)*b*c","A"
22,1,45,44,0.055000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^10,x)","B \,c^{2} x -\frac{\left(A c +2 b B \right) c}{x}-\frac{A \,b^{2}}{5 x^{5}}-\frac{\left(2 A c +b B \right) b}{3 x^{3}}"," ",0,"-1/5*A*b^2/x^5-1/3*b*(2*A*c+B*b)/x^3-c*(A*c+2*B*b)/x+B*c^2*x","A"
23,1,52,45,0.053000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^11,x)","B \,c^{2} \ln \left(x \right)-\frac{A \,c^{2}}{2 x^{2}}-\frac{B b c}{x^{2}}-\frac{A b c}{2 x^{4}}-\frac{B \,b^{2}}{4 x^{4}}-\frac{A \,b^{2}}{6 x^{6}}"," ",0,"-1/2*b/x^4*A*c-1/4*b^2/x^4*B-1/2*c^2/x^2*A-c/x^2*b*B-1/6*A*b^2/x^6+B*c^2*ln(x)","A"
24,1,48,47,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^12,x)","-\frac{B \,c^{2}}{x}-\frac{\left(A c +2 b B \right) c}{3 x^{3}}-\frac{A \,b^{2}}{7 x^{7}}-\frac{\left(2 A c +b B \right) b}{5 x^{5}}"," ",0,"-1/7*A*b^2/x^7-1/5*b*(2*A*c+B*b)/x^5-1/3*c*(A*c+2*B*b)/x^3-B*c^2/x","A"
25,1,76,65,0.037000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^2,x)","\frac{B \,c^{3} x^{13}}{13}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{11}}{11}+\frac{A \,b^{3} x^{5}}{5}+\frac{\left(3 A b \,c^{2}+3 B c \,b^{2}\right) x^{9}}{9}+\frac{\left(3 A c \,b^{2}+B \,b^{3}\right) x^{7}}{7}"," ",0,"1/13*B*c^3*x^13+1/11*(A*c^3+3*B*b*c^2)*x^11+1/9*(3*A*b*c^2+3*B*b^2*c)*x^9+1/7*(3*A*b^2*c+B*b^3)*x^7+1/5*A*b^3*x^5","A"
26,1,76,62,0.039000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^3,x)","\frac{B \,c^{3} x^{12}}{12}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{10}}{10}+\frac{A \,b^{3} x^{4}}{4}+\frac{\left(3 A b \,c^{2}+3 B c \,b^{2}\right) x^{8}}{8}+\frac{\left(3 A c \,b^{2}+B \,b^{3}\right) x^{6}}{6}"," ",0,"1/12*B*c^3*x^12+1/10*(A*c^3+3*B*b*c^2)*x^10+1/8*(3*A*b*c^2+3*B*b^2*c)*x^8+1/6*(3*A*b^2*c+B*b^3)*x^6+1/4*A*b^3*x^4","A"
27,1,76,65,0.045000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^4,x)","\frac{B \,c^{3} x^{11}}{11}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{9}}{9}+\frac{A \,b^{3} x^{3}}{3}+\frac{\left(3 A b \,c^{2}+3 B c \,b^{2}\right) x^{7}}{7}+\frac{\left(3 A c \,b^{2}+B \,b^{3}\right) x^{5}}{5}"," ",0,"1/11*B*c^3*x^11+1/9*(A*c^3+3*B*b*c^2)*x^9+1/7*(3*A*b*c^2+3*B*b^2*c)*x^7+1/5*(3*A*b^2*c+B*b^3)*x^5+1/3*A*b^3*x^3","A"
28,1,76,38,0.043000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^5,x)","\frac{B \,c^{3} x^{10}}{10}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{8}}{8}+\frac{A \,b^{3} x^{2}}{2}+\frac{\left(3 A b \,c^{2}+3 B c \,b^{2}\right) x^{6}}{6}+\frac{\left(3 A c \,b^{2}+B \,b^{3}\right) x^{4}}{4}"," ",0,"1/10*B*c^3*x^10+1/8*(A*c^3+3*B*b*c^2)*x^8+1/6*(3*A*b*c^2+3*B*b^2*c)*x^6+1/4*(3*A*b^2*c+B*b^3)*x^4+1/2*A*b^3*x^2","A"
29,1,73,62,0.043000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^6,x)","\frac{B \,c^{3} x^{9}}{9}+\frac{\left(A \,c^{3}+3 B b \,c^{2}\right) x^{7}}{7}+A \,b^{3} x +\frac{\left(3 A b \,c^{2}+3 B c \,b^{2}\right) x^{5}}{5}+\frac{\left(3 A c \,b^{2}+B \,b^{3}\right) x^{3}}{3}"," ",0,"1/9*B*c^3*x^9+1/7*(A*c^3+3*B*b*c^2)*x^7+1/5*(3*A*b*c^2+3*B*b^2*c)*x^5+1/3*(3*A*b^2*c+B*b^3)*x^3+A*b^3*x","A"
30,1,76,52,0.045000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^7,x)","\frac{B \,c^{3} x^{8}}{8}+\frac{A \,c^{3} x^{6}}{6}+\frac{B b \,c^{2} x^{6}}{2}+\frac{3 A b \,c^{2} x^{4}}{4}+\frac{3 B \,b^{2} c \,x^{4}}{4}+\frac{3 A \,b^{2} c \,x^{2}}{2}+\frac{B \,b^{3} x^{2}}{2}+A \,b^{3} \ln \left(x \right)"," ",0,"1/8*B*c^3*x^8+1/6*A*c^3*x^6+1/2*B*x^6*b*c^2+3/4*A*b*c^2*x^4+3/4*B*x^4*b^2*c+3/2*A*b^2*c*x^2+1/2*B*x^2*b^3+A*b^3*ln(x)","A"
31,1,71,61,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^8,x)","\frac{B \,c^{3} x^{7}}{7}+\frac{A \,c^{3} x^{5}}{5}+\frac{3 B b \,c^{2} x^{5}}{5}+A b \,c^{2} x^{3}+B \,b^{2} c \,x^{3}+3 A \,b^{2} c x +B \,b^{3} x -\frac{A \,b^{3}}{x}"," ",0,"1/7*B*c^3*x^7+1/5*A*x^5*c^3+3/5*B*x^5*b*c^2+A*x^3*b*c^2+B*x^3*b^2*c+3*A*c*b^2*x+B*b^3*x-A*b^3/x","A"
32,1,75,63,0.051000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^9,x)","\frac{B \,c^{3} x^{6}}{6}+\frac{A \,c^{3} x^{4}}{4}+\frac{3 B b \,c^{2} x^{4}}{4}+\frac{3 A b \,c^{2} x^{2}}{2}+\frac{3 B \,b^{2} c \,x^{2}}{2}+3 A \,b^{2} c \ln \left(x \right)+B \,b^{3} \ln \left(x \right)-\frac{A \,b^{3}}{2 x^{2}}"," ",0,"1/6*B*c^3*x^6+1/4*A*x^4*c^3+3/4*B*x^4*b*c^2+3/2*A*x^2*b*c^2+3/2*B*x^2*b^2*c-1/2*A*b^3/x^2+3*A*ln(x)*b^2*c+B*ln(x)*b^3","A"
33,1,70,63,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^10,x)","\frac{B \,c^{3} x^{5}}{5}+\frac{A \,c^{3} x^{3}}{3}+B b \,c^{2} x^{3}+3 A b \,c^{2} x +3 B \,b^{2} c x -\frac{A \,b^{3}}{3 x^{3}}-\frac{\left(3 A c +b B \right) b^{2}}{x}"," ",0,"1/5*B*c^3*x^5+1/3*A*x^3*c^3+B*x^3*b*c^2+3*A*b*c^2*x+3*B*c*b^2*x-1/3*A*b^3/x^3-b^2*(3*A*c+B*b)/x","A"
34,1,76,64,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^11,x)","\frac{B \,c^{3} x^{4}}{4}+\frac{A \,c^{3} x^{2}}{2}+\frac{3 B b \,c^{2} x^{2}}{2}+3 A b \,c^{2} \ln \left(x \right)+3 B \,b^{2} c \ln \left(x \right)-\frac{3 A \,b^{2} c}{2 x^{2}}-\frac{B \,b^{3}}{2 x^{2}}-\frac{A \,b^{3}}{4 x^{4}}"," ",0,"1/4*B*c^3*x^4+1/2*A*x^2*c^3+3/2*B*x^2*b*c^2-1/4*A*b^3/x^4-3/2*b^2/x^2*A*c-1/2*b^3/x^2*B+3*A*ln(x)*b*c^2+3*B*ln(x)*b^2*c","A"
35,1,64,62,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^12,x)","\frac{B \,c^{3} x^{3}}{3}+A \,c^{3} x +3 B b \,c^{2} x -\frac{3 \left(A c +b B \right) b c}{x}-\frac{A \,b^{3}}{5 x^{5}}-\frac{\left(3 A c +b B \right) b^{2}}{3 x^{3}}"," ",0,"1/3*B*c^3*x^3+A*c^3*x+3*B*b*c^2*x-1/5*A*b^3/x^5-1/3*b^2*(3*A*c+B*b)/x^3-3*b*c*(A*c+B*b)/x","A"
36,1,75,63,0.052000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^13,x)","\frac{B \,c^{3} x^{2}}{2}+A \,c^{3} \ln \left(x \right)+3 B b \,c^{2} \ln \left(x \right)-\frac{3 A b \,c^{2}}{2 x^{2}}-\frac{3 B \,b^{2} c}{2 x^{2}}-\frac{3 A \,b^{2} c}{4 x^{4}}-\frac{B \,b^{3}}{4 x^{4}}-\frac{A \,b^{3}}{6 x^{6}}"," ",0,"1/2*B*c^3*x^2-3/4*b^2/x^4*A*c-1/4*b^3/x^4*B-3/2*b*c^2/x^2*A-3/2*b^2*c/x^2*B-1/6*A*b^3/x^6+A*ln(x)*c^3+3*B*ln(x)*b*c^2","A"
37,1,63,62,0.046000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^14,x)","B \,c^{3} x -\frac{\left(A c +3 b B \right) c^{2}}{x}-\frac{\left(A c +b B \right) b c}{x^{3}}-\frac{A \,b^{3}}{7 x^{7}}-\frac{\left(3 A c +b B \right) b^{2}}{5 x^{5}}"," ",0,"-1/7*A*b^3/x^7-1/5*b^2*(3*A*c+B*b)/x^5-b*c*(A*c+B*b)/x^3-c^2*(A*c+3*B*b)/x+B*c^3*x","A"
38,1,76,55,0.053000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^15,x)","B \,c^{3} \ln \left(x \right)-\frac{A \,c^{3}}{2 x^{2}}-\frac{3 B b \,c^{2}}{2 x^{2}}-\frac{3 A b \,c^{2}}{4 x^{4}}-\frac{3 B \,b^{2} c}{4 x^{4}}-\frac{A \,b^{2} c}{2 x^{6}}-\frac{B \,b^{3}}{6 x^{6}}-\frac{A \,b^{3}}{8 x^{8}}"," ",0,"-3/4*b*c^2/x^4*A-3/4*b^2*B*c/x^4-1/8*A*b^3/x^8-1/2*c^3/x^2*A-3/2*b*B*c^2/x^2-1/2*b^2/x^6*A*c-1/6*b^3*B/x^6+B*c^3*ln(x)","A"
39,1,66,65,0.046000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^16,x)","-\frac{B \,c^{3}}{x}-\frac{\left(A c +3 b B \right) c^{2}}{3 x^{3}}-\frac{3 \left(A c +b B \right) b c}{5 x^{5}}-\frac{A \,b^{3}}{9 x^{9}}-\frac{\left(3 A c +b B \right) b^{2}}{7 x^{7}}"," ",0,"-1/9*A*b^3/x^9-1/7*b^2*(3*A*c+B*b)/x^7-3/5*b*c*(A*c+B*b)/x^5-1/3*c^2*(A*c+3*B*b)/x^3-B*c^3/x","A"
40,1,66,45,0.048000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^17,x)","-\frac{B \,c^{3}}{2 x^{2}}-\frac{\left(A c +3 b B \right) c^{2}}{4 x^{4}}-\frac{\left(A c +b B \right) b c}{2 x^{6}}-\frac{A \,b^{3}}{10 x^{10}}-\frac{\left(3 A c +b B \right) b^{2}}{8 x^{8}}"," ",0,"-1/4*c^2*(A*c+3*B*b)/x^4-1/8*b^2*(3*A*c+B*b)/x^8-1/2*B*c^3/x^2-1/2*b*c*(A*c+B*b)/x^6-1/10*A*b^3/x^10","A"
41,1,140,103,0.048000," ","int(x^10*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{9}}{9 c}+\frac{A \,x^{7}}{7 c}-\frac{B b \,x^{7}}{7 c^{2}}-\frac{A b \,x^{5}}{5 c^{2}}+\frac{B \,b^{2} x^{5}}{5 c^{3}}+\frac{A \,b^{2} x^{3}}{3 c^{3}}-\frac{B \,b^{3} x^{3}}{3 c^{4}}+\frac{A \,b^{4} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{4}}-\frac{B \,b^{5} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{5}}-\frac{A \,b^{3} x}{c^{4}}+\frac{B \,b^{4} x}{c^{5}}"," ",0,"1/9*B*x^9/c+1/7/c*A*x^7-1/7/c^2*B*x^7*b-1/5/c^2*A*x^5*b+1/5/c^3*B*x^5*b^2+1/3/c^3*A*x^3*b^2-1/3/c^4*B*x^3*b^3-1/c^4*A*b^3*x+1/c^5*B*b^4*x+b^4/c^4/(b*c)^(1/2)*arctan(c*x/(b*c)^(1/2))*A-b^5/c^5/(b*c)^(1/2)*arctan(c*x/(b*c)^(1/2))*B","A"
42,1,110,86,0.043000," ","int(x^9*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{8}}{8 c}+\frac{A \,x^{6}}{6 c}-\frac{B b \,x^{6}}{6 c^{2}}-\frac{A b \,x^{4}}{4 c^{2}}+\frac{B \,b^{2} x^{4}}{4 c^{3}}+\frac{A \,b^{2} x^{2}}{2 c^{3}}-\frac{B \,b^{3} x^{2}}{2 c^{4}}-\frac{A \,b^{3} \ln \left(c \,x^{2}+b \right)}{2 c^{4}}+\frac{B \,b^{4} \ln \left(c \,x^{2}+b \right)}{2 c^{5}}"," ",0,"1/8*B*x^8/c+1/6/c*A*x^6-1/6/c^2*B*x^6*b-1/4/c^2*A*x^4*b+1/4/c^3*B*x^4*b^2+1/2/c^3*A*x^2*b^2-1/2/c^4*B*x^2*b^3-1/2*b^3/c^4*ln(c*x^2+b)*A+1/2*b^4/c^5*ln(c*x^2+b)*B","A"
43,1,116,84,0.049000," ","int(x^8*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{7}}{7 c}+\frac{A \,x^{5}}{5 c}-\frac{B b \,x^{5}}{5 c^{2}}-\frac{A b \,x^{3}}{3 c^{2}}+\frac{B \,b^{2} x^{3}}{3 c^{3}}-\frac{A \,b^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}+\frac{B \,b^{4} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{4}}+\frac{A \,b^{2} x}{c^{3}}-\frac{B \,b^{3} x}{c^{4}}"," ",0,"1/7*B*x^7/c+1/5/c*A*x^5-1/5/c^2*B*x^5*b-1/3/c^2*A*x^3*b+1/3/c^3*B*x^3*b^2+1/c^3*A*b^2*x-1/c^4*B*b^3*x-b^3/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+b^4/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
44,1,86,67,0.045000," ","int(x^7*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{6}}{6 c}+\frac{A \,x^{4}}{4 c}-\frac{B b \,x^{4}}{4 c^{2}}-\frac{A b \,x^{2}}{2 c^{2}}+\frac{B \,b^{2} x^{2}}{2 c^{3}}+\frac{A \,b^{2} \ln \left(c \,x^{2}+b \right)}{2 c^{3}}-\frac{B \,b^{3} \ln \left(c \,x^{2}+b \right)}{2 c^{4}}"," ",0,"1/6*B*x^6/c+1/4/c*A*x^4-1/4/c^2*B*x^4*b-1/2/c^2*A*x^2*b+1/2/c^3*B*x^2*b^2+1/2*b^2/c^3*ln(c*x^2+b)*A-1/2*b^3/c^4*ln(c*x^2+b)*B","A"
45,1,92,65,0.049000," ","int(x^6*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{5}}{5 c}+\frac{A \,x^{3}}{3 c}-\frac{B b \,x^{3}}{3 c^{2}}+\frac{A \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}-\frac{B \,b^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{3}}-\frac{A b x}{c^{2}}+\frac{B \,b^{2} x}{c^{3}}"," ",0,"1/5*B*x^5/c+1/3/c*A*x^3-1/3/c^2*B*x^3*b-1/c^2*A*b*x+1/c^3*B*b^2*x+b^2/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-b^3/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
46,1,62,48,0.051000," ","int(x^5*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{4}}{4 c}+\frac{A \,x^{2}}{2 c}-\frac{B b \,x^{2}}{2 c^{2}}-\frac{A b \ln \left(c \,x^{2}+b \right)}{2 c^{2}}+\frac{B \,b^{2} \ln \left(c \,x^{2}+b \right)}{2 c^{3}}"," ",0,"1/4*B*x^4/c+1/2/c*A*x^2-1/2/c^2*B*x^2*b-1/2*b/c^2*ln(c*x^2+b)*A+1/2*b^2/c^3*ln(c*x^2+b)*B","A"
47,1,68,48,0.047000," ","int(x^4*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{3}}{3 c}-\frac{A b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}+\frac{B \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c^{2}}+\frac{A x}{c}-\frac{B b x}{c^{2}}"," ",0,"1/3*B*x^3/c+1/c*A*x-1/c^2*b*B*x-b/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+b^2/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
48,1,40,31,0.044000," ","int(x^3*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{B \,x^{2}}{2 c}+\frac{A \ln \left(c \,x^{2}+b \right)}{2 c}-\frac{B b \ln \left(c \,x^{2}+b \right)}{2 c^{2}}"," ",0,"1/2*B*x^2/c+1/2/c*ln(c*x^2+b)*A-1/2/c^2*ln(c*x^2+b)*b*B","A"
49,1,45,32,0.044000," ","int(x^2*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}}-\frac{B b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, c}+\frac{B x}{c}"," ",0,"B*x/c+1/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-1/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*b*B","A"
50,1,37,32,0.047000," ","int(x*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{A \ln \left(x \right)}{b}-\frac{A \ln \left(c \,x^{2}+b \right)}{2 b}+\frac{B \ln \left(c \,x^{2}+b \right)}{2 c}"," ",0,"-1/2/b*ln(c*x^2+b)*A+1/2/c*ln(c*x^2+b)*B+A*ln(x)/b","A"
51,1,48,34,0.048000," ","int((B*x^2+A)/(c*x^4+b*x^2),x)","-\frac{A c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}+\frac{B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}}-\frac{A}{b x}"," ",0,"-1/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A*c+1/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-A/b/x","A"
52,1,39,33,0.049000," ","int((B*x^2+A)/(-c*x^4+b*x^2),x)","-\frac{\left(-A c -b B \right) \arctanh \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}-\frac{A}{b x}"," ",0,"-(-A*c-B*b)/b/(b*c)^(1/2)*arctanh(1/(b*c)^(1/2)*c*x)-A/b/x","A"
53,1,56,45,0.055000," ","int((B*x^2+A)/x/(c*x^4+b*x^2),x)","-\frac{A c \ln \left(x \right)}{b^{2}}+\frac{A c \ln \left(c \,x^{2}+b \right)}{2 b^{2}}+\frac{B \ln \left(x \right)}{b}-\frac{B \ln \left(c \,x^{2}+b \right)}{2 b}-\frac{A}{2 b \,x^{2}}"," ",0,"1/2/b^2*ln(c*x^2+b)*A*c-1/2/b*ln(c*x^2+b)*B-1/2*A/b/x^2-1/b^2*ln(x)*A*c+1/b*ln(x)*B","A"
54,1,72,50,0.057000," ","int((B*x^2+A)/x^2/(c*x^4+b*x^2),x)","\frac{A \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}-\frac{B c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b}+\frac{A c}{b^{2} x}-\frac{B}{b x}-\frac{A}{3 b \,x^{3}}"," ",0,"c^2/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-c/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/3*A/b/x^3+1/b^2/x*A*c-1/b/x*B","A"
55,1,81,64,0.054000," ","int((B*x^2+A)/x^3/(c*x^4+b*x^2),x)","\frac{A \,c^{2} \ln \left(x \right)}{b^{3}}-\frac{A \,c^{2} \ln \left(c \,x^{2}+b \right)}{2 b^{3}}-\frac{B c \ln \left(x \right)}{b^{2}}+\frac{B c \ln \left(c \,x^{2}+b \right)}{2 b^{2}}+\frac{A c}{2 b^{2} x^{2}}-\frac{B}{2 b \,x^{2}}-\frac{A}{4 b \,x^{4}}"," ",0,"-1/2*c^2/b^3*ln(c*x^2+b)*A+1/2*c/b^2*ln(c*x^2+b)*B-1/4*A/b/x^4+1/2/b^2/x^2*A*c-1/2/b/x^2*B+c^2/b^3*ln(x)*A-c/b^2*ln(x)*B","A"
56,1,96,66,0.048000," ","int((B*x^2+A)/x^4/(c*x^4+b*x^2),x)","-\frac{A \,c^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{3}}+\frac{B \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c}\, b^{2}}-\frac{A \,c^{2}}{b^{3} x}+\frac{B c}{b^{2} x}+\frac{A c}{3 b^{2} x^{3}}-\frac{B}{3 b \,x^{3}}-\frac{A}{5 b \,x^{5}}"," ",0,"-c^3/b^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+c^2/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/5*A/b/x^5+1/3/b^2/x^3*A*c-1/3/b/x^3*B-c^2/b^3/x*A+c/b^2/x*B","A"
57,1,107,84,0.046000," ","int((B*x^2+A)/x^5/(c*x^4+b*x^2),x)","-\frac{A \,c^{3} \ln \left(x \right)}{b^{4}}+\frac{A \,c^{3} \ln \left(c \,x^{2}+b \right)}{2 b^{4}}+\frac{B \,c^{2} \ln \left(x \right)}{b^{3}}-\frac{B \,c^{2} \ln \left(c \,x^{2}+b \right)}{2 b^{3}}-\frac{A \,c^{2}}{2 b^{3} x^{2}}+\frac{B c}{2 b^{2} x^{2}}+\frac{A c}{4 b^{2} x^{4}}-\frac{B}{4 b \,x^{4}}-\frac{A}{6 b \,x^{6}}"," ",0,"1/2*c^3/b^4*ln(c*x^2+b)*A-1/2*c^2/b^3*ln(c*x^2+b)*B-1/6*A/b/x^6+1/4/b^2/x^4*A*c-1/4/b/x^4*B-1/2*c^2/b^3/x^2*A+1/2*c/b^2/x^2*B-c^3/b^4*ln(x)*A+c^2/b^3*ln(x)*B","A"
58,1,155,115,0.053000," ","int(x^12*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{7}}{7 c^{2}}+\frac{A \,x^{5}}{5 c^{2}}-\frac{2 B b \,x^{5}}{5 c^{3}}-\frac{2 A b \,x^{3}}{3 c^{3}}+\frac{B \,b^{2} x^{3}}{c^{4}}+\frac{A \,b^{3} x}{2 \left(c \,x^{2}+b \right) c^{4}}-\frac{7 A \,b^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{4}}-\frac{B \,b^{4} x}{2 \left(c \,x^{2}+b \right) c^{5}}+\frac{9 B \,b^{4} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{5}}+\frac{3 A \,b^{2} x}{c^{4}}-\frac{4 B \,b^{3} x}{c^{5}}"," ",0,"1/7*B*x^7/c^2+1/5/c^2*A*x^5-2/5/c^3*B*x^5*b-2/3/c^3*A*x^3*b+1/c^4*B*x^3*b^2+3/c^4*A*b^2*x-4/c^5*B*b^3*x+1/2*b^3/c^4*x/(c*x^2+b)*A-1/2*b^4/c^5*x/(c*x^2+b)*B-7/2*b^3/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+9/2*b^4/c^5/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
59,1,122,95,0.054000," ","int(x^11*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{6}}{6 c^{2}}+\frac{A \,x^{4}}{4 c^{2}}-\frac{B b \,x^{4}}{2 c^{3}}-\frac{A b \,x^{2}}{c^{3}}+\frac{3 B \,b^{2} x^{2}}{2 c^{4}}+\frac{A \,b^{3}}{2 \left(c \,x^{2}+b \right) c^{4}}+\frac{3 A \,b^{2} \ln \left(c \,x^{2}+b \right)}{2 c^{4}}-\frac{B \,b^{4}}{2 \left(c \,x^{2}+b \right) c^{5}}-\frac{2 B \,b^{3} \ln \left(c \,x^{2}+b \right)}{c^{5}}"," ",0,"1/6*B*x^6/c^2+1/4/c^2*A*x^4-1/2/c^3*B*x^4*b-1/c^3*A*x^2*b+3/2/c^4*B*x^2*b^2+3/2*b^2/c^4*ln(c*x^2+b)*A-2*b^3/c^5*ln(c*x^2+b)*B+1/2*b^3/c^4/(c*x^2+b)*A-1/2*b^4/c^5/(c*x^2+b)*B","A"
60,1,132,94,0.053000," ","int(x^10*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{5}}{5 c^{2}}+\frac{A \,x^{3}}{3 c^{2}}-\frac{2 B b \,x^{3}}{3 c^{3}}-\frac{A \,b^{2} x}{2 \left(c \,x^{2}+b \right) c^{3}}+\frac{5 A \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{3}}+\frac{B \,b^{3} x}{2 \left(c \,x^{2}+b \right) c^{4}}-\frac{7 B \,b^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{4}}-\frac{2 A b x}{c^{3}}+\frac{3 B \,b^{2} x}{c^{4}}"," ",0,"1/5*B*x^5/c^2+1/3/c^2*A*x^3-2/3/c^3*B*x^3*b-2/c^3*A*b*x+3/c^4*B*b^2*x-1/2*b^2/c^3*x/(c*x^2+b)*A+1/2*b^3/c^4*x/(c*x^2+b)*B+5/2*b^2/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-7/2*b^3/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
61,1,98,75,0.054000," ","int(x^9*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{4}}{4 c^{2}}+\frac{A \,x^{2}}{2 c^{2}}-\frac{B b \,x^{2}}{c^{3}}-\frac{A \,b^{2}}{2 \left(c \,x^{2}+b \right) c^{3}}-\frac{A b \ln \left(c \,x^{2}+b \right)}{c^{3}}+\frac{B \,b^{3}}{2 \left(c \,x^{2}+b \right) c^{4}}+\frac{3 B \,b^{2} \ln \left(c \,x^{2}+b \right)}{2 c^{4}}"," ",0,"1/4*B*x^4/c^2+1/2/c^2*A*x^2-1/c^3*B*x^2*b-b/c^3*ln(c*x^2+b)*A+3/2*b^2/c^4*ln(c*x^2+b)*B-1/2*b^2/c^3/(c*x^2+b)*A+1/2*b^3/c^4/(c*x^2+b)*B","A"
62,1,105,75,0.064000," ","int(x^8*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{3}}{3 c^{2}}+\frac{A b x}{2 \left(c \,x^{2}+b \right) c^{2}}-\frac{3 A b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{2}}-\frac{B \,b^{2} x}{2 \left(c \,x^{2}+b \right) c^{3}}+\frac{5 B \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{3}}+\frac{A x}{c^{2}}-\frac{2 B b x}{c^{3}}"," ",0,"1/3*B*x^3/c^2+1/c^2*A*x-2/c^3*b*B*x+1/2*b/c^2*x/(c*x^2+b)*A-1/2*b^2/c^3*x/(c*x^2+b)*B-3/2*b/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+5/2*b^2/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
63,1,74,55,0.056000," ","int(x^7*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{B \,x^{2}}{2 c^{2}}+\frac{A b}{2 \left(c \,x^{2}+b \right) c^{2}}+\frac{A \ln \left(c \,x^{2}+b \right)}{2 c^{2}}-\frac{B \,b^{2}}{2 \left(c \,x^{2}+b \right) c^{3}}-\frac{B b \ln \left(c \,x^{2}+b \right)}{c^{3}}"," ",0,"1/2*B*x^2/c^2+1/2/c^2*ln(c*x^2+b)*A-1/c^3*ln(c*x^2+b)*b*B+1/2/c^2*b/(c*x^2+b)*A-1/2/c^3*b^2/(c*x^2+b)*B","A"
64,1,82,56,0.053000," ","int(x^6*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A x}{2 \left(c \,x^{2}+b \right) c}+\frac{A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c}+\frac{B b x}{2 \left(c \,x^{2}+b \right) c^{2}}-\frac{3 B b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c^{2}}+\frac{B x}{c^{2}}"," ",0,"B*x/c^2-1/2/c*x/(c*x^2+b)*A+1/2/c^2*x/(c*x^2+b)*b*B+1/2/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-3/2/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*b*B","A"
65,1,47,37,0.054000," ","int(x^5*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A}{2 \left(c \,x^{2}+b \right) c}+\frac{B b}{2 \left(c \,x^{2}+b \right) c^{2}}+\frac{B \ln \left(c \,x^{2}+b \right)}{2 c^{2}}"," ",0,"1/2*B*ln(c*x^2+b)/c^2-1/2/c/(c*x^2+b)*A+1/2/c^2/(c*x^2+b)*b*B","A"
66,1,68,51,0.056000," ","int(x^4*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b}+\frac{B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, c}+\frac{\left(A c -b B \right) x}{2 \left(c \,x^{2}+b \right) b c}"," ",0,"1/2*(A*c-B*b)/b/c*x/(c*x^2+b)+1/2/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+1/2/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
67,1,53,47,0.055000," ","int(x^3*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{A}{2 \left(c \,x^{2}+b \right) b}+\frac{A \ln \left(x \right)}{b^{2}}-\frac{A \ln \left(c \,x^{2}+b \right)}{2 b^{2}}-\frac{B}{2 \left(c \,x^{2}+b \right) c}"," ",0,"-1/2*A*ln(c*x^2+b)/b^2+1/2/b/(c*x^2+b)*A-1/2/c/(c*x^2+b)*B+A*ln(x)/b^2","A"
68,1,85,58,0.056000," ","int(x^2*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A c x}{2 \left(c \,x^{2}+b \right) b^{2}}-\frac{3 A c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b^{2}}+\frac{B x}{2 \left(c \,x^{2}+b \right) b}+\frac{B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b}-\frac{A}{b^{2} x}"," ",0,"-1/2/b^2*x/(c*x^2+b)*A*c+1/2/b*x/(c*x^2+b)*B-3/2/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A*c+1/2/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-A/b^2/x","A"
69,1,86,67,0.070000," ","int(x*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A c}{2 \left(c \,x^{2}+b \right) b^{2}}-\frac{2 A c \ln \left(x \right)}{b^{3}}+\frac{A c \ln \left(c \,x^{2}+b \right)}{b^{3}}+\frac{B}{2 \left(c \,x^{2}+b \right) b}+\frac{B \ln \left(x \right)}{b^{2}}-\frac{B \ln \left(c \,x^{2}+b \right)}{2 b^{2}}-\frac{A}{2 b^{2} x^{2}}"," ",0,"1/b^3*c*ln(c*x^2+b)*A-1/2/b^2*ln(c*x^2+b)*B-1/2/b^2*c/(c*x^2+b)*A+1/2/b/(c*x^2+b)*B-1/2*A/b^2/x^2-2/b^3*ln(x)*A*c+1/b^2*ln(x)*B","A"
70,1,110,76,0.074000," ","int((B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{A \,c^{2} x}{2 \left(c \,x^{2}+b \right) b^{3}}+\frac{5 A \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b^{3}}-\frac{B c x}{2 \left(c \,x^{2}+b \right) b^{2}}-\frac{3 B c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b^{2}}+\frac{2 A c}{b^{3} x}-\frac{B}{b^{2} x}-\frac{A}{3 b^{2} x^{3}}"," ",0,"1/2/b^3*c^2*x/(c*x^2+b)*A-1/2/b^2*c*x/(c*x^2+b)*B+5/2/b^3*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-3/2/b^2*c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/3*A/b^2/x^3+2/b^3/x*A*c-1/b^2/x*B","A"
71,1,114,90,0.056000," ","int((B*x^2+A)/x/(c*x^4+b*x^2)^2,x)","\frac{A \,c^{2}}{2 \left(c \,x^{2}+b \right) b^{3}}+\frac{3 A \,c^{2} \ln \left(x \right)}{b^{4}}-\frac{3 A \,c^{2} \ln \left(c \,x^{2}+b \right)}{2 b^{4}}-\frac{B c}{2 \left(c \,x^{2}+b \right) b^{2}}-\frac{2 B c \ln \left(x \right)}{b^{3}}+\frac{B c \ln \left(c \,x^{2}+b \right)}{b^{3}}+\frac{A c}{b^{3} x^{2}}-\frac{B}{2 b^{2} x^{2}}-\frac{A}{4 b^{2} x^{4}}"," ",0,"-3/2/b^4*c^2*ln(c*x^2+b)*A+1/b^3*c*ln(c*x^2+b)*B+1/2/b^3*c^2/(c*x^2+b)*A-1/2/b^2*c/(c*x^2+b)*B-1/4*A/b^2/x^4+1/b^3/x^2*A*c-1/2/b^2/x^2*B+3*c^2/b^4*ln(x)*A-2*c/b^3*ln(x)*B","A"
72,1,136,96,0.056000," ","int((B*x^2+A)/x^2/(c*x^4+b*x^2)^2,x)","-\frac{A \,c^{3} x}{2 \left(c \,x^{2}+b \right) b^{4}}-\frac{7 A \,c^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b^{4}}+\frac{B \,c^{2} x}{2 \left(c \,x^{2}+b \right) b^{3}}+\frac{5 B \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{2 \sqrt{b c}\, b^{3}}-\frac{3 A \,c^{2}}{b^{4} x}+\frac{2 B c}{b^{3} x}+\frac{2 A c}{3 b^{3} x^{3}}-\frac{B}{3 b^{2} x^{3}}-\frac{A}{5 b^{2} x^{5}}"," ",0,"-1/2/b^4*c^3*x/(c*x^2+b)*A+1/2/b^3*c^2*x/(c*x^2+b)*B-7/2/b^4*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+5/2/b^3*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/5*A/b^2/x^5+2/3/b^3/x^3*A*c-1/3/b^2/x^3*B-3*c^2/b^4/x*A+2*c/b^3/x*B","A"
73,1,174,122,0.059000," ","int(x^14*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{13 A \,b^{2} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{17 B \,b^{3} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{B \,x^{5}}{5 c^{3}}-\frac{11 A \,b^{3} x}{8 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{A \,x^{3}}{3 c^{3}}+\frac{15 B \,b^{4} x}{8 \left(c \,x^{2}+b \right)^{2} c^{5}}-\frac{B b \,x^{3}}{c^{4}}+\frac{35 A \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{4}}-\frac{63 B \,b^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{5}}-\frac{3 A b x}{c^{4}}+\frac{6 B \,b^{2} x}{c^{5}}"," ",0,"1/5*B*x^5/c^3+1/3/c^3*A*x^3-1/c^4*B*x^3*b-3/c^4*A*b*x+6/c^5*B*b^2*x-13/8*b^2/c^3/(c*x^2+b)^2*A*x^3+17/8*b^3/c^4/(c*x^2+b)^2*B*x^3-11/8*b^3/c^4/(c*x^2+b)^2*A*x+15/8*b^4/c^5/(c*x^2+b)^2*B*x+35/8*b^2/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-63/8*b^3/c^5/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
74,1,134,101,0.060000," ","int(x^13*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{B \,x^{4}}{4 c^{3}}+\frac{A \,b^{3}}{4 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{A \,x^{2}}{2 c^{3}}-\frac{B \,b^{4}}{4 \left(c \,x^{2}+b \right)^{2} c^{5}}-\frac{3 B b \,x^{2}}{2 c^{4}}-\frac{3 A \,b^{2}}{2 \left(c \,x^{2}+b \right) c^{4}}-\frac{3 A b \ln \left(c \,x^{2}+b \right)}{2 c^{4}}+\frac{2 B \,b^{3}}{\left(c \,x^{2}+b \right) c^{5}}+\frac{3 B \,b^{2} \ln \left(c \,x^{2}+b \right)}{c^{5}}"," ",0,"1/4*B*x^4/c^3-3/2/c^4*B*x^2*b+1/2/c^3*A*x^2-3/2*b/c^4*ln(c*x^2+b)*A+3*b^2/c^5*ln(c*x^2+b)*B-3/2*b^2/c^4/(c*x^2+b)*A+2*b^3/c^5/(c*x^2+b)*B+1/4*b^3/c^4/(c*x^2+b)^2*A-1/4*b^4/c^5/(c*x^2+b)^2*B","A"
75,1,147,102,0.055000," ","int(x^12*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{9 A b \,x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{13 B \,b^{2} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{7 A \,b^{2} x}{8 \left(c \,x^{2}+b \right)^{2} c^{3}}-\frac{11 B \,b^{3} x}{8 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{B \,x^{3}}{3 c^{3}}-\frac{15 A b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{3}}+\frac{35 B \,b^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{4}}+\frac{A x}{c^{3}}-\frac{3 B b x}{c^{4}}"," ",0,"1/3*B*x^3/c^3+1/c^3*A*x-3/c^4*b*B*x+9/8*b/c^2/(c*x^2+b)^2*A*x^3-13/8*b^2/c^3/(c*x^2+b)^2*B*x^3+7/8*b^2/c^3/(c*x^2+b)^2*A*x-11/8*b^3/c^4/(c*x^2+b)^2*B*x-15/8*b/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+35/8*b^2/c^4/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
76,1,109,81,0.055000," ","int(x^11*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{A \,b^{2}}{4 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{B \,b^{3}}{4 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{B \,x^{2}}{2 c^{3}}+\frac{A b}{\left(c \,x^{2}+b \right) c^{3}}+\frac{A \ln \left(c \,x^{2}+b \right)}{2 c^{3}}-\frac{3 B \,b^{2}}{2 \left(c \,x^{2}+b \right) c^{4}}-\frac{3 B b \ln \left(c \,x^{2}+b \right)}{2 c^{4}}"," ",0,"1/2*B*x^2/c^3+1/2/c^3*ln(c*x^2+b)*A-3/2/c^4*ln(c*x^2+b)*b*B+1/c^3*b/(c*x^2+b)*A-3/2/c^4*b^2/(c*x^2+b)*B-1/4/c^3*b^2/(c*x^2+b)^2*A+1/4/c^4*b^3/(c*x^2+b)^2*B","A"
77,1,122,81,0.052000," ","int(x^10*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{5 A \,x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c}+\frac{9 B b \,x^{3}}{8 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{3 A b x}{8 \left(c \,x^{2}+b \right)^{2} c^{2}}+\frac{7 B \,b^{2} x}{8 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{3 A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{2}}-\frac{15 B b \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{3}}+\frac{B x}{c^{3}}"," ",0,"B*x/c^3-5/8/c/(c*x^2+b)^2*A*x^3+9/8/c^2/(c*x^2+b)^2*B*x^3*b-3/8/c^2/(c*x^2+b)^2*A*b*x+7/8/c^3/(c*x^2+b)^2*B*b^2*x+3/8/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-15/8/c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*b*B","A"
78,1,80,61,0.054000," ","int(x^9*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{A b}{4 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{B \,b^{2}}{4 \left(c \,x^{2}+b \right)^{2} c^{3}}-\frac{A}{2 \left(c \,x^{2}+b \right) c^{2}}+\frac{B b}{\left(c \,x^{2}+b \right) c^{3}}+\frac{B \ln \left(c \,x^{2}+b \right)}{2 c^{3}}"," ",0,"1/2*B*ln(c*x^2+b)/c^3-1/2/c^2/(c*x^2+b)*A+1/c^3/(c*x^2+b)*b*B+1/4*b/c^2/(c*x^2+b)^2*A-1/4*b^2/c^3/(c*x^2+b)^2*B","A"
79,1,89,76,0.058000," ","int(x^8*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b c}+\frac{3 B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, c^{2}}+\frac{\frac{\left(A c -5 b B \right) x^{3}}{8 b c}-\frac{\left(A c +3 b B \right) x}{8 c^{2}}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"(1/8*(A*c-5*B*b)/b/c*x^3-1/8*(A*c+3*B*b)/c^2*x)/(c*x^2+b)^2+1/8/c/b/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+3/8/c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
80,1,39,30,0.053000," ","int(x^7*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{B}{2 \left(c \,x^{2}+b \right) c^{2}}-\frac{A c -b B}{4 \left(c \,x^{2}+b \right)^{2} c^{2}}"," ",0,"-1/2*B/c^2/(c*x^2+b)-1/4*(A*c-B*b)/c^2/(c*x^2+b)^2","A"
81,1,90,78,0.056000," ","int(x^6*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{3 A \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{2}}+\frac{B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b c}+\frac{\frac{\left(3 A c +b B \right) x^{3}}{8 b^{2}}+\frac{\left(5 A c -b B \right) x}{8 b c}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"(1/8*(3*A*c+B*b)/b^2*x^3+1/8*(5*A*c-B*b)/b/c*x)/(c*x^2+b)^2+3/8/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+1/8/b/c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B","A"
82,1,68,62,0.060000," ","int(x^5*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{A}{4 \left(c \,x^{2}+b \right)^{2} b}-\frac{B}{4 \left(c \,x^{2}+b \right)^{2} c}+\frac{A}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{A \ln \left(x \right)}{b^{3}}-\frac{A \ln \left(c \,x^{2}+b \right)}{2 b^{3}}"," ",0,"-1/2*A*ln(c*x^2+b)/b^3+1/2*A/b^2/(c*x^2+b)+1/4/b/(c*x^2+b)^2*A-1/4/c/(c*x^2+b)^2*B+A*ln(x)/b^3","A"
83,1,125,82,0.056000," ","int(x^4*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{7 A \,c^{2} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{3 B c \,x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{2}}-\frac{9 A c x}{8 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{5 B x}{8 \left(c \,x^{2}+b \right)^{2} b}-\frac{15 A c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{3}}+\frac{3 B \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{2}}-\frac{A}{b^{3} x}"," ",0,"-7/8/b^3/(c*x^2+b)^2*A*x^3*c^2+3/8/b^2/(c*x^2+b)^2*B*x^3*c-9/8/b^2/(c*x^2+b)^2*A*c*x+5/8/b/(c*x^2+b)^2*B*x-15/8/b^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A*c+3/8/b^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-A/b^3/x","A"
84,1,118,89,0.063000," ","int(x^3*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{A c}{4 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{B}{4 \left(c \,x^{2}+b \right)^{2} b}-\frac{A c}{\left(c \,x^{2}+b \right) b^{3}}-\frac{3 A c \ln \left(x \right)}{b^{4}}+\frac{3 A c \ln \left(c \,x^{2}+b \right)}{2 b^{4}}+\frac{B}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{B \ln \left(x \right)}{b^{3}}-\frac{B \ln \left(c \,x^{2}+b \right)}{2 b^{3}}-\frac{A}{2 b^{3} x^{2}}"," ",0,"3/2/b^4*c*ln(c*x^2+b)*A-1/2/b^3*ln(c*x^2+b)*B-1/b^3*c/(c*x^2+b)*A+1/2/b^2/(c*x^2+b)*B-1/4/b^2*c/(c*x^2+b)^2*A+1/4/b/(c*x^2+b)^2*B-1/2*A/b^3/x^2-3/b^4*ln(x)*A*c+1/b^3*ln(x)*B","A"
85,1,152,101,0.062000," ","int(x^2*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{11 A \,c^{3} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{7 B \,c^{2} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{13 A \,c^{2} x}{8 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{9 B c x}{8 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{35 A \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{4}}-\frac{15 B c \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{3}}+\frac{3 A c}{b^{4} x}-\frac{B}{b^{3} x}-\frac{A}{3 b^{3} x^{3}}"," ",0,"11/8/b^4*c^3/(c*x^2+b)^2*A*x^3-7/8/b^3*c^2/(c*x^2+b)^2*B*x^3+13/8/b^3*c^2/(c*x^2+b)^2*A*x-9/8/b^2*c/(c*x^2+b)^2*B*x+35/8/b^4*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A-15/8/b^3*c/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/3*A/b^3/x^3+3/b^4/x*A*c-1/b^3/x*B","A"
86,1,150,112,0.065000," ","int(x*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{A \,c^{2}}{4 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{B c}{4 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{3 A \,c^{2}}{2 \left(c \,x^{2}+b \right) b^{4}}+\frac{6 A \,c^{2} \ln \left(x \right)}{b^{5}}-\frac{3 A \,c^{2} \ln \left(c \,x^{2}+b \right)}{b^{5}}-\frac{B c}{\left(c \,x^{2}+b \right) b^{3}}-\frac{3 B c \ln \left(x \right)}{b^{4}}+\frac{3 B c \ln \left(c \,x^{2}+b \right)}{2 b^{4}}+\frac{3 A c}{2 b^{4} x^{2}}-\frac{B}{2 b^{3} x^{2}}-\frac{A}{4 b^{3} x^{4}}"," ",0,"-3/b^5*c^2*ln(c*x^2+b)*A+3/2/b^4*c*ln(c*x^2+b)*B+3/2/b^4*c^2/(c*x^2+b)*A-1/b^3*c/(c*x^2+b)*B+1/4/b^3*c^2/(c*x^2+b)^2*A-1/4/b^2*c/(c*x^2+b)^2*B-1/4*A/b^3/x^4+3/2/b^4/x^2*A*c-1/2/b^3/x^2*B+6*c^2/b^5*ln(x)*A-3*c/b^4*ln(x)*B","A"
87,1,177,123,0.072000," ","int((B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{15 A \,c^{4} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{5}}+\frac{11 B \,c^{3} x^{3}}{8 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{17 A \,c^{3} x}{8 \left(c \,x^{2}+b \right)^{2} b^{4}}+\frac{13 B \,c^{2} x}{8 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{63 A \,c^{3} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{5}}+\frac{35 B \,c^{2} \arctan \left(\frac{c x}{\sqrt{b c}}\right)}{8 \sqrt{b c}\, b^{4}}-\frac{6 A \,c^{2}}{b^{5} x}+\frac{3 B c}{b^{4} x}+\frac{A c}{b^{4} x^{3}}-\frac{B}{3 b^{3} x^{3}}-\frac{A}{5 b^{3} x^{5}}"," ",0,"-15/8/b^5*c^4/(c*x^2+b)^2*A*x^3+11/8/b^4*c^3/(c*x^2+b)^2*B*x^3-17/8/b^4*c^3/(c*x^2+b)^2*A*x+13/8/b^3*c^2/(c*x^2+b)^2*B*x-63/8/b^5*c^3/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*A+35/8/b^4*c^2/(b*c)^(1/2)*arctan(1/(b*c)^(1/2)*c*x)*B-1/5*A/b^3/x^5+1/b^4/x^3*A*c-1/3/b^3/x^3*B-6*c^2/b^5/x*A+3*c/b^4/x*B","A"
88,1,180,139,0.060000," ","int((B*x^2+A)/x/(c*x^4+b*x^2)^3,x)","-\frac{A \,c^{3}}{4 \left(c \,x^{2}+b \right)^{2} b^{4}}+\frac{B \,c^{2}}{4 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{2 A \,c^{3}}{\left(c \,x^{2}+b \right) b^{5}}-\frac{10 A \,c^{3} \ln \left(x \right)}{b^{6}}+\frac{5 A \,c^{3} \ln \left(c \,x^{2}+b \right)}{b^{6}}+\frac{3 B \,c^{2}}{2 \left(c \,x^{2}+b \right) b^{4}}+\frac{6 B \,c^{2} \ln \left(x \right)}{b^{5}}-\frac{3 B \,c^{2} \ln \left(c \,x^{2}+b \right)}{b^{5}}-\frac{3 A \,c^{2}}{b^{5} x^{2}}+\frac{3 B c}{2 b^{4} x^{2}}+\frac{3 A c}{4 b^{4} x^{4}}-\frac{B}{4 b^{3} x^{4}}-\frac{A}{6 b^{3} x^{6}}"," ",0,"5/b^6*c^3*ln(c*x^2+b)*A-3/b^5*c^2*ln(c*x^2+b)*B-2/b^5*c^3/(c*x^2+b)*A+3/2/b^4*c^2/(c*x^2+b)*B-1/4/b^4*c^3/(c*x^2+b)^2*A+1/4/b^3*c^2/(c*x^2+b)^2*B-1/6*A/b^3/x^6+3/4/b^4/x^4*A*c-1/4/b^3/x^4*B-3*c^2/b^5/x^2*A+3/2*c/b^4/x^2*B-10*c^3/b^6*ln(x)*A+6*c^2/b^5*ln(x)*B","A"
89,1,290,190,0.078000," ","int(x^7*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(1280 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,c^{\frac{9}{2}} x^{9}+1536 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{9}{2}} x^{7}-1152 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{\frac{7}{2}} x^{7}-1344 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A b \,c^{\frac{7}{2}} x^{5}+1008 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{2} c^{\frac{5}{2}} x^{5}+1120 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{2} c^{\frac{5}{2}} x^{3}-840 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{3} c^{\frac{3}{2}} x^{3}+420 A \,b^{5} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-315 B \,b^{6} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+420 \sqrt{c \,x^{2}+b}\, A \,b^{4} c^{\frac{3}{2}} x -315 \sqrt{c \,x^{2}+b}\, B \,b^{5} \sqrt{c}\, x -840 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{3} c^{\frac{3}{2}} x +630 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{4} \sqrt{c}\, x \right)}{15360 \sqrt{c \,x^{2}+b}\, c^{\frac{11}{2}} x}"," ",0,"1/15360*(c*x^4+b*x^2)^(1/2)*(1280*B*(c*x^2+b)^(3/2)*c^(9/2)*x^9+1536*A*(c*x^2+b)^(3/2)*c^(9/2)*x^7-1152*B*(c*x^2+b)^(3/2)*c^(7/2)*x^7*b-1344*A*(c*x^2+b)^(3/2)*c^(7/2)*x^5*b+1008*B*(c*x^2+b)^(3/2)*c^(5/2)*x^5*b^2+1120*A*(c*x^2+b)^(3/2)*c^(5/2)*x^3*b^2-840*B*(c*x^2+b)^(3/2)*c^(3/2)*x^3*b^3-840*A*(c*x^2+b)^(3/2)*c^(3/2)*x*b^3+630*B*(c*x^2+b)^(3/2)*c^(1/2)*x*b^4+420*A*(c*x^2+b)^(1/2)*c^(3/2)*x*b^4-315*B*(c*x^2+b)^(1/2)*c^(1/2)*x*b^5+420*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^5*c-315*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^6)/x/(c*x^2+b)^(1/2)/c^(11/2)","A"
90,1,248,157,0.061000," ","int(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(384 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,c^{\frac{7}{2}} x^{7}+480 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{7}{2}} x^{5}-336 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{\frac{5}{2}} x^{5}-400 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A b \,c^{\frac{5}{2}} x^{3}+280 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{2} c^{\frac{3}{2}} x^{3}-150 A \,b^{4} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+105 B \,b^{5} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-150 \sqrt{c \,x^{2}+b}\, A \,b^{3} c^{\frac{3}{2}} x +105 \sqrt{c \,x^{2}+b}\, B \,b^{4} \sqrt{c}\, x +300 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{2} c^{\frac{3}{2}} x -210 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{3} \sqrt{c}\, x \right)}{3840 \sqrt{c \,x^{2}+b}\, c^{\frac{9}{2}} x}"," ",0,"1/3840*(c*x^4+b*x^2)^(1/2)*(384*B*(c*x^2+b)^(3/2)*c^(7/2)*x^7+480*A*(c*x^2+b)^(3/2)*c^(7/2)*x^5-336*B*(c*x^2+b)^(3/2)*c^(5/2)*x^5*b-400*A*(c*x^2+b)^(3/2)*c^(5/2)*x^3*b+280*B*(c*x^2+b)^(3/2)*c^(3/2)*x^3*b^2+300*A*(c*x^2+b)^(3/2)*c^(3/2)*x*b^2-210*B*(c*x^2+b)^(3/2)*c^(1/2)*x*b^3-150*A*(c*x^2+b)^(1/2)*c^(3/2)*x*b^3+105*B*(c*x^2+b)^(1/2)*c^(1/2)*x*b^4-150*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^4*c+105*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^5)/x/(c*x^2+b)^(1/2)/c^(9/2)","A"
91,1,206,109,0.053000," ","int(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(48 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,c^{\frac{5}{2}} x^{5}+64 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{5}{2}} x^{3}-40 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{\frac{3}{2}} x^{3}+24 A \,b^{3} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-15 B \,b^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+24 \sqrt{c \,x^{2}+b}\, A \,b^{2} c^{\frac{3}{2}} x -15 \sqrt{c \,x^{2}+b}\, B \,b^{3} \sqrt{c}\, x -48 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A b \,c^{\frac{3}{2}} x +30 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{2} \sqrt{c}\, x \right)}{384 \sqrt{c \,x^{2}+b}\, c^{\frac{7}{2}} x}"," ",0,"1/384*(c*x^4+b*x^2)^(1/2)*(48*B*(c*x^2+b)^(3/2)*c^(5/2)*x^5+64*A*(c*x^2+b)^(3/2)*c^(5/2)*x^3-40*B*(c*x^2+b)^(3/2)*c^(3/2)*x^3*b-48*A*(c*x^2+b)^(3/2)*c^(3/2)*x*b+30*B*(c*x^2+b)^(3/2)*c^(1/2)*x*b^2+24*A*(c*x^2+b)^(1/2)*c^(3/2)*x*b^2-15*B*(c*x^2+b)^(1/2)*c^(1/2)*x*b^3+24*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^3*c-15*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^4)/x/(c*x^2+b)^(1/2)/c^(7/2)","A"
92,1,164,91,0.053000," ","int(x*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(8 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,c^{\frac{3}{2}} x^{3}-6 A \,b^{2} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+3 B \,b^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-6 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{3}{2}} x +3 \sqrt{c \,x^{2}+b}\, B \,b^{2} \sqrt{c}\, x +12 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{3}{2}} x -6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \sqrt{c}\, x \right)}{48 \sqrt{c \,x^{2}+b}\, c^{\frac{5}{2}} x}"," ",0,"1/48*(c*x^4+b*x^2)^(1/2)*(8*B*c^(3/2)*(c*x^2+b)^(3/2)*x^3+12*A*c^(3/2)*(c*x^2+b)^(3/2)*x-6*B*c^(1/2)*(c*x^2+b)^(3/2)*x*b-6*A*c^(3/2)*(c*x^2+b)^(1/2)*x*b+3*B*c^(1/2)*(c*x^2+b)^(1/2)*x*b^2-6*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2*c+3*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^3)/x/(c*x^2+b)^(1/2)/c^(5/2)","A"
93,1,124,84,0.054000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x,x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(4 A b c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-B \,b^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+4 \sqrt{c \,x^{2}+b}\, A \,c^{\frac{3}{2}} x -\sqrt{c \,x^{2}+b}\, B b \sqrt{c}\, x +2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \sqrt{c}\, x \right)}{8 \sqrt{c \,x^{2}+b}\, c^{\frac{3}{2}} x}"," ",0,"1/8*(c*x^4+b*x^2)^(1/2)*(2*B*c^(1/2)*(c*x^2+b)^(3/2)*x+4*A*c^(3/2)*(c*x^2+b)^(1/2)*x-B*c^(1/2)*(c*x^2+b)^(1/2)*x*b+4*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b*c-B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2)/c^(3/2)/(c*x^2+b)^(1/2)/x","A"
94,1,130,83,0.055000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^3,x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(2 A b c x \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+B \,b^{2} x \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+2 \sqrt{c \,x^{2}+b}\, A \,c^{\frac{3}{2}} x^{2}+\sqrt{c \,x^{2}+b}\, B b \sqrt{c}\, x^{2}-2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \sqrt{c}\right)}{2 \sqrt{c \,x^{2}+b}\, b \sqrt{c}\, x^{2}}"," ",0,"1/2*(c*x^4+b*x^2)^(1/2)*(2*A*c^(3/2)*(c*x^2+b)^(1/2)*x^2+B*c^(1/2)*(c*x^2+b)^(1/2)*x^2*b-2*A*c^(1/2)*(c*x^2+b)^(3/2)+2*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x*b*c+B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x*b^2)/x^2/(c*x^2+b)^(1/2)/b/c^(1/2)","A"
95,1,109,68,0.059000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^5,x)","-\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(-3 B b c \,x^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-3 \sqrt{c \,x^{2}+b}\, B \,c^{\frac{3}{2}} x^{4}+3 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \sqrt{c}\, x^{2}+\left(c \,x^{2}+b \right)^{\frac{3}{2}} A \sqrt{c}\right)}{3 \sqrt{c \,x^{2}+b}\, b \sqrt{c}\, x^{4}}"," ",0,"-1/3*(c*x^4+b*x^2)^(1/2)*(-3*B*c^(3/2)*(c*x^2+b)^(1/2)*x^4+3*B*c^(1/2)*(c*x^2+b)^(3/2)*x^2-3*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x^3*b*c+(c*x^2+b)^(3/2)*A*c^(1/2))/x^4/(c*x^2+b)^(1/2)/b/c^(1/2)","A"
96,1,48,53,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^7,x)","-\frac{\left(c \,x^{2}+b \right) \left(-2 A c \,x^{2}+5 B b \,x^{2}+3 A b \right) \sqrt{c \,x^{4}+b \,x^{2}}}{15 b^{2} x^{6}}"," ",0,"-1/15*(c*x^2+b)*(-2*A*c*x^2+5*B*b*x^2+3*A*b)*(c*x^4+b*x^2)^(1/2)/b^2/x^6","A"
97,1,70,84,0.044000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^9,x)","-\frac{\left(c \,x^{2}+b \right) \left(8 A \,c^{2} x^{4}-14 B b c \,x^{4}-12 A b c \,x^{2}+21 B \,b^{2} x^{2}+15 b^{2} A \right) \sqrt{c \,x^{4}+b \,x^{2}}}{105 b^{3} x^{8}}"," ",0,"-1/105*(c*x^2+b)*(8*A*c^2*x^4-14*B*b*c*x^4-12*A*b*c*x^2+21*B*b^2*x^2+15*A*b^2)*(c*x^4+b*x^2)^(1/2)/b^3/x^8","A"
98,1,94,117,0.053000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^11,x)","-\frac{\left(c \,x^{2}+b \right) \left(-16 A \,c^{3} x^{6}+24 B b \,c^{2} x^{6}+24 A b \,c^{2} x^{4}-36 B \,b^{2} c \,x^{4}-30 A \,b^{2} c \,x^{2}+45 B \,b^{3} x^{2}+35 A \,b^{3}\right) \sqrt{c \,x^{4}+b \,x^{2}}}{315 b^{4} x^{10}}"," ",0,"-1/315*(c*x^2+b)*(-16*A*c^3*x^6+24*B*b*c^2*x^6+24*A*b*c^2*x^4-36*B*b^2*c*x^4-30*A*b^2*c*x^2+45*B*b^3*x^2+35*A*b^3)*(c*x^4+b*x^2)^(1/2)/x^10/b^4","A"
99,1,118,150,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^13,x)","-\frac{\left(c \,x^{2}+b \right) \left(128 A \,c^{4} x^{8}-176 B b \,c^{3} x^{8}-192 A b \,c^{3} x^{6}+264 B \,b^{2} c^{2} x^{6}+240 A \,b^{2} c^{2} x^{4}-330 B \,b^{3} c \,x^{4}-280 A \,b^{3} c \,x^{2}+385 B \,b^{4} x^{2}+315 A \,b^{4}\right) \sqrt{c \,x^{4}+b \,x^{2}}}{3465 b^{5} x^{12}}"," ",0,"-1/3465*(c*x^2+b)*(128*A*c^4*x^8-176*B*b*c^3*x^8-192*A*b*c^3*x^6+264*B*b^2*c^2*x^6+240*A*b^2*c^2*x^4-330*B*b^3*c*x^4-280*A*b^3*c*x^2+385*B*b^4*x^2+315*A*b^4)*(c*x^4+b*x^2)^(1/2)/b^5/x^12","A"
100,1,91,115,0.048000," ","int(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\left(c \,x^{2}+b \right) \left(35 B \,c^{3} x^{6}+45 A \,c^{3} x^{4}-30 B b \,c^{2} x^{4}-36 A b \,c^{2} x^{2}+24 B \,b^{2} c \,x^{2}+24 A \,b^{2} c -16 B \,b^{3}\right) \sqrt{c \,x^{4}+b \,x^{2}}}{315 c^{4} x}"," ",0,"1/315*(c*x^2+b)*(35*B*c^3*x^6+45*A*c^3*x^4-30*B*b*c^2*x^4-36*A*b*c^2*x^2+24*B*b^2*c*x^2+24*A*b^2*c-16*B*b^3)*(c*x^4+b*x^2)^(1/2)/c^4/x","A"
101,1,67,82,0.051000," ","int(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-15 B \,c^{2} x^{4}-21 A \,c^{2} x^{2}+12 B b c \,x^{2}+14 A b c -8 B \,b^{2}\right) \sqrt{c \,x^{4}+b \,x^{2}}}{105 c^{3} x}"," ",0,"-1/105*(c*x^2+b)*(-15*B*c^2*x^4-21*A*c^2*x^2+12*B*b*c*x^2+14*A*b*c-8*B*b^2)*(c*x^4+b*x^2)^(1/2)/c^3/x","A"
102,1,45,53,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{\left(c \,x^{2}+b \right) \left(3 B c \,x^{2}+5 A c -2 b B \right) \sqrt{c \,x^{4}+b \,x^{2}}}{15 c^{2} x}"," ",0,"1/15*(c*x^2+b)*(3*B*c*x^2+5*A*c-2*B*b)*(c*x^4+b*x^2)^(1/2)/c^2/x","A"
103,1,85,66,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^2,x)","-\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(3 A \sqrt{b}\, c \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{c \,x^{2}+b}\, A c -\left(c \,x^{2}+b \right)^{\frac{3}{2}} B \right)}{3 \sqrt{c \,x^{2}+b}\, c x}"," ",0,"-1/3*(c*x^4+b*x^2)^(1/2)*(3*A*ln(2*(b^(1/2)*(c*x^2+b)^(1/2)+b)/x)*b^(1/2)*c-B*(c*x^2+b)^(3/2)-3*A*(c*x^2+b)^(1/2)*c)/x/(c*x^2+b)^(1/2)/c","A"
104,1,135,84,0.054000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^4,x)","-\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(A \sqrt{b}\, c \,x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+2 B \,b^{\frac{3}{2}} x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{c \,x^{2}+b}\, A c \,x^{2}-2 \sqrt{c \,x^{2}+b}\, B b \,x^{2}+\left(c \,x^{2}+b \right)^{\frac{3}{2}} A \right)}{2 \sqrt{c \,x^{2}+b}\, b \,x^{3}}"," ",0,"-1/2*(c*x^4+b*x^2)^(1/2)*(A*b^(1/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2*c+2*B*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2-A*(c*x^2+b)^(1/2)*x^2*c-2*B*(c*x^2+b)^(1/2)*x^2*b+A*(c*x^2+b)^(3/2))/x^3/(c*x^2+b)^(1/2)/b","A"
105,1,174,87,0.058000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^6,x)","\frac{\sqrt{c \,x^{4}+b \,x^{2}}\, \left(A \sqrt{b}\, c^{2} x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-4 B \,b^{\frac{3}{2}} c \,x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{c \,x^{2}+b}\, A \,c^{2} x^{4}+4 \sqrt{c \,x^{2}+b}\, B b c \,x^{4}+\left(c \,x^{2}+b \right)^{\frac{3}{2}} A c \,x^{2}-4 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,x^{2}-2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A b \right)}{8 \sqrt{c \,x^{2}+b}\, b^{2} x^{5}}"," ",0,"1/8*(c*x^4+b*x^2)^(1/2)*(A*b^(1/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*c^2-4*B*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*c-A*(c*x^2+b)^(1/2)*x^4*c^2+4*B*(c*x^2+b)^(1/2)*x^4*b*c+A*(c*x^2+b)^(3/2)*x^2*c-4*B*(c*x^2+b)^(3/2)*x^2*b-2*A*(c*x^2+b)^(3/2)*b)/x^5/(c*x^2+b)^(1/2)/b^2","A"
106,1,328,195,0.081000," ","int(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(15360 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,c^{\frac{9}{2}} x^{9}+17920 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{\frac{9}{2}} x^{7}-11520 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{\frac{7}{2}} x^{7}-12544 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{\frac{7}{2}} x^{5}+8064 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} c^{\frac{5}{2}} x^{5}+1470 A \,b^{6} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-945 B \,b^{7} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+1470 \sqrt{c \,x^{2}+b}\, A \,b^{5} c^{\frac{3}{2}} x +7840 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2} c^{\frac{5}{2}} x^{3}-945 \sqrt{c \,x^{2}+b}\, B \,b^{6} \sqrt{c}\, x -5040 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{3} c^{\frac{3}{2}} x^{3}+980 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{4} c^{\frac{3}{2}} x -630 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{5} \sqrt{c}\, x -3920 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{3} c^{\frac{3}{2}} x +2520 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{4} \sqrt{c}\, x \right)}{215040 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c^{\frac{11}{2}} x^{3}}"," ",0,"1/215040*(c*x^4+b*x^2)^(3/2)*(15360*B*(c*x^2+b)^(5/2)*c^(9/2)*x^9+17920*A*(c*x^2+b)^(5/2)*c^(9/2)*x^7-11520*B*(c*x^2+b)^(5/2)*c^(7/2)*x^7*b-12544*A*(c*x^2+b)^(5/2)*c^(7/2)*x^5*b+8064*B*(c*x^2+b)^(5/2)*c^(5/2)*x^5*b^2+7840*A*(c*x^2+b)^(5/2)*c^(5/2)*x^3*b^2-5040*B*(c*x^2+b)^(5/2)*c^(3/2)*x^3*b^3-3920*A*(c*x^2+b)^(5/2)*c^(3/2)*x*b^3+2520*B*(c*x^2+b)^(5/2)*c^(1/2)*x*b^4+980*A*(c*x^2+b)^(3/2)*c^(3/2)*x*b^4-630*B*(c*x^2+b)^(3/2)*c^(1/2)*x*b^5+1470*A*(c*x^2+b)^(1/2)*c^(3/2)*x*b^5-945*B*(c*x^2+b)^(1/2)*c^(1/2)*x*b^6+1470*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^6*c-945*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^7)/x^3/(c*x^2+b)^(3/2)/c^(11/2)","A"
107,1,286,147,0.066000," ","int(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(1280 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,c^{\frac{7}{2}} x^{7}+1536 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{\frac{7}{2}} x^{5}-896 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{\frac{5}{2}} x^{5}-180 A \,b^{5} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+105 B \,b^{6} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-180 \sqrt{c \,x^{2}+b}\, A \,b^{4} c^{\frac{3}{2}} x -960 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{\frac{5}{2}} x^{3}+105 \sqrt{c \,x^{2}+b}\, B \,b^{5} \sqrt{c}\, x +560 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} c^{\frac{3}{2}} x^{3}-120 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{3} c^{\frac{3}{2}} x +70 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{4} \sqrt{c}\, x +480 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2} c^{\frac{3}{2}} x -280 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{3} \sqrt{c}\, x \right)}{15360 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c^{\frac{9}{2}} x^{3}}"," ",0,"1/15360*(c*x^4+b*x^2)^(3/2)*(1280*B*(c*x^2+b)^(5/2)*c^(7/2)*x^7+1536*A*(c*x^2+b)^(5/2)*c^(7/2)*x^5-896*B*(c*x^2+b)^(5/2)*c^(5/2)*x^5*b-960*A*(c*x^2+b)^(5/2)*c^(5/2)*x^3*b+560*B*(c*x^2+b)^(5/2)*c^(3/2)*x^3*b^2+480*A*(c*x^2+b)^(5/2)*c^(3/2)*x*b^2-280*B*(c*x^2+b)^(5/2)*c^(1/2)*x*b^3-120*(c*x^2+b)^(3/2)*A*b^3*c^(3/2)*x+70*(c*x^2+b)^(3/2)*B*b^4*c^(1/2)*x-180*(c*x^2+b)^(1/2)*A*b^4*c^(3/2)*x+105*(c*x^2+b)^(1/2)*B*b^5*c^(1/2)*x-180*A*b^5*c*ln(c^(1/2)*x+(c*x^2+b)^(1/2))+105*B*b^6*ln(c^(1/2)*x+(c*x^2+b)^(1/2)))/x^3/(c*x^2+b)^(3/2)/c^(9/2)","A"
108,1,244,128,0.060000," ","int(x*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(128 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,c^{\frac{5}{2}} x^{5}+30 A \,b^{4} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-15 B \,b^{5} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+30 \sqrt{c \,x^{2}+b}\, A \,b^{3} c^{\frac{3}{2}} x +160 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{\frac{5}{2}} x^{3}-15 \sqrt{c \,x^{2}+b}\, B \,b^{4} \sqrt{c}\, x -80 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{\frac{3}{2}} x^{3}+20 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,b^{2} c^{\frac{3}{2}} x -10 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{3} \sqrt{c}\, x -80 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{\frac{3}{2}} x +40 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} \sqrt{c}\, x \right)}{1280 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c^{\frac{7}{2}} x^{3}}"," ",0,"1/1280*(c*x^4+b*x^2)^(3/2)*(128*B*(c*x^2+b)^(5/2)*c^(5/2)*x^5+160*A*(c*x^2+b)^(5/2)*c^(5/2)*x^3-80*B*(c*x^2+b)^(5/2)*c^(3/2)*x^3*b-80*A*(c*x^2+b)^(5/2)*c^(3/2)*x*b+40*B*(c*x^2+b)^(5/2)*c^(1/2)*x*b^2+20*(c*x^2+b)^(3/2)*A*b^2*c^(3/2)*x-10*(c*x^2+b)^(3/2)*B*b^3*c^(1/2)*x+30*(c*x^2+b)^(1/2)*A*b^3*c^(3/2)*x-15*(c*x^2+b)^(1/2)*B*b^4*c^(1/2)*x+30*A*b^4*c*ln(c^(1/2)*x+(c*x^2+b)^(1/2))-15*B*b^5*ln(c^(1/2)*x+(c*x^2+b)^(1/2)))/x^3/(c*x^2+b)^(3/2)/c^(7/2)","A"
109,1,202,124,0.057000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x,x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-24 A \,b^{3} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+9 B \,b^{4} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-24 \sqrt{c \,x^{2}+b}\, A \,b^{2} c^{\frac{3}{2}} x +9 \sqrt{c \,x^{2}+b}\, B \,b^{3} \sqrt{c}\, x +48 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,c^{\frac{3}{2}} x^{3}-16 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A b \,c^{\frac{3}{2}} x +6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,b^{2} \sqrt{c}\, x +64 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{\frac{3}{2}} x -24 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \sqrt{c}\, x \right)}{384 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c^{\frac{5}{2}} x^{3}}"," ",0,"1/384*(c*x^4+b*x^2)^(3/2)*(48*B*c^(3/2)*(c*x^2+b)^(5/2)*x^3+64*A*c^(3/2)*(c*x^2+b)^(5/2)*x-24*B*c^(1/2)*(c*x^2+b)^(5/2)*x*b-16*(c*x^2+b)^(3/2)*A*b*c^(3/2)*x+6*(c*x^2+b)^(3/2)*B*b^2*c^(1/2)*x-24*(c*x^2+b)^(1/2)*A*b^2*c^(3/2)*x+9*(c*x^2+b)^(1/2)*B*b^3*c^(1/2)*x-24*A*b^3*c*ln(c^(1/2)*x+(c*x^2+b)^(1/2))+9*B*b^4*ln(c^(1/2)*x+(c*x^2+b)^(1/2)))/x^3/(c*x^2+b)^(3/2)/c^(5/2)","A"
110,1,162,119,0.052000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^3,x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(18 A \,b^{2} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-3 B \,b^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+18 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{3}{2}} x -3 \sqrt{c \,x^{2}+b}\, B \,b^{2} \sqrt{c}\, x +12 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{3}{2}} x -2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \sqrt{c}\, x +8 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \sqrt{c}\, x \right)}{48 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c^{\frac{3}{2}} x^{3}}"," ",0,"1/48*(c*x^4+b*x^2)^(3/2)*(8*B*c^(1/2)*(c*x^2+b)^(5/2)*x+12*(c*x^2+b)^(3/2)*A*c^(3/2)*x-2*(c*x^2+b)^(3/2)*B*b*c^(1/2)*x+18*(c*x^2+b)^(1/2)*A*b*c^(3/2)*x-3*(c*x^2+b)^(1/2)*B*b^2*c^(1/2)*x+18*A*b^2*c*ln(c^(1/2)*x+(c*x^2+b)^(1/2))-3*B*b^3*ln(c^(1/2)*x+(c*x^2+b)^(1/2)))/x^3/(c*x^2+b)^(3/2)/c^(3/2)","A"
111,1,174,110,0.059000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^5,x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(12 A \,b^{2} c x \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+3 B \,b^{3} x \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+12 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{3}{2}} x^{2}+3 \sqrt{c \,x^{2}+b}\, B \,b^{2} \sqrt{c}\, x^{2}+8 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{3}{2}} x^{2}+2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \sqrt{c}\, x^{2}-8 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \sqrt{c}\right)}{8 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b \sqrt{c}\, x^{4}}"," ",0,"1/8*(c*x^4+b*x^2)^(3/2)*(8*A*c^(3/2)*(c*x^2+b)^(3/2)*x^2+12*A*c^(3/2)*(c*x^2+b)^(1/2)*x^2*b+2*B*c^(1/2)*(c*x^2+b)^(3/2)*x^2*b-8*A*c^(1/2)*(c*x^2+b)^(5/2)+3*B*c^(1/2)*(c*x^2+b)^(1/2)*x^2*b^2+12*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x*b^2*c+3*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x*b^3)/x^4/(c*x^2+b)^(3/2)/b/c^(1/2)","A"
112,1,219,116,0.059000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^7,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-6 A \,b^{2} c^{2} x^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-9 B \,b^{3} c \,x^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-6 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{5}{2}} x^{4}-9 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{\frac{3}{2}} x^{4}-4 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{\frac{5}{2}} x^{4}-6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{\frac{3}{2}} x^{4}+4 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{\frac{3}{2}} x^{2}+6 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \sqrt{c}\, x^{2}+2 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \sqrt{c}\right)}{6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{2} \sqrt{c}\, x^{6}}"," ",0,"-1/6*(c*x^4+b*x^2)^(3/2)*(-4*A*(c*x^2+b)^(3/2)*c^(5/2)*x^4-6*B*(c*x^2+b)^(3/2)*c^(3/2)*x^4*b+4*A*(c*x^2+b)^(5/2)*c^(3/2)*x^2-6*A*(c*x^2+b)^(1/2)*c^(5/2)*x^4*b+6*B*(c*x^2+b)^(5/2)*c^(1/2)*x^2*b-9*B*(c*x^2+b)^(1/2)*c^(3/2)*x^4*b^2-6*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x^3*b^2*c^2-9*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x^3*b^3*c+2*A*(c*x^2+b)^(5/2)*c^(1/2)*b)/x^6/(c*x^2+b)^(3/2)/b^2/c^(1/2)","A"
113,1,153,88,0.055000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^9,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-15 B \,b^{2} c^{2} x^{5} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-15 \sqrt{c \,x^{2}+b}\, B b \,c^{\frac{5}{2}} x^{6}-10 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B \,c^{\frac{5}{2}} x^{6}+10 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,c^{\frac{3}{2}} x^{4}+5 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \sqrt{c}\, x^{2}+3 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \sqrt{c}\right)}{15 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{2} \sqrt{c}\, x^{8}}"," ",0,"-1/15*(c*x^4+b*x^2)^(3/2)*(-10*B*(c*x^2+b)^(3/2)*c^(5/2)*x^6+10*B*(c*x^2+b)^(5/2)*c^(3/2)*x^4-15*B*(c*x^2+b)^(1/2)*c^(5/2)*x^6*b-15*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x^5*b^2*c^2+5*(c*x^2+b)^(5/2)*B*b*c^(1/2)*x^2+3*(c*x^2+b)^(5/2)*A*b*c^(1/2))/x^8/(c*x^2+b)^(3/2)/b^2/c^(1/2)","A"
114,1,48,53,0.046000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^11,x)","-\frac{\left(c \,x^{2}+b \right) \left(-2 A c \,x^{2}+7 B b \,x^{2}+5 A b \right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{35 b^{2} x^{10}}"," ",0,"-1/35*(c*x^2+b)*(-2*A*c*x^2+7*B*b*x^2+5*A*b)*(c*x^4+b*x^2)^(3/2)/b^2/x^10","A"
115,1,70,84,0.048000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^13,x)","-\frac{\left(c \,x^{2}+b \right) \left(8 A \,c^{2} x^{4}-18 B b c \,x^{4}-20 A b c \,x^{2}+45 B \,b^{2} x^{2}+35 b^{2} A \right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{315 b^{3} x^{12}}"," ",0,"-1/315*(c*x^2+b)*(8*A*c^2*x^4-18*B*b*c*x^4-20*A*b*c*x^2+45*B*b^2*x^2+35*A*b^2)*(c*x^4+b*x^2)^(3/2)/b^3/x^12","A"
116,1,94,117,0.054000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^15,x)","-\frac{\left(c \,x^{2}+b \right) \left(-48 A \,c^{3} x^{6}+88 B b \,c^{2} x^{6}+120 A b \,c^{2} x^{4}-220 B \,b^{2} c \,x^{4}-210 A \,b^{2} c \,x^{2}+385 B \,b^{3} x^{2}+315 A \,b^{3}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{3465 b^{4} x^{14}}"," ",0,"-1/3465*(c*x^2+b)*(-48*A*c^3*x^6+88*B*b*c^2*x^6+120*A*b*c^2*x^4-220*B*b^2*c*x^4-210*A*b^2*c*x^2+385*B*b^3*x^2+315*A*b^3)*(c*x^4+b*x^2)^(3/2)/x^14/b^4","A"
117,1,118,150,0.044000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^17,x)","-\frac{\left(c \,x^{2}+b \right) \left(128 A \,c^{4} x^{8}-208 B b \,c^{3} x^{8}-320 A b \,c^{3} x^{6}+520 B \,b^{2} c^{2} x^{6}+560 A \,b^{2} c^{2} x^{4}-910 B \,b^{3} c \,x^{4}-840 A \,b^{3} c \,x^{2}+1365 B \,b^{4} x^{2}+1155 A \,b^{4}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{15015 b^{5} x^{16}}"," ",0,"-1/15015*(c*x^2+b)*(128*A*c^4*x^8-208*B*b*c^3*x^8-320*A*b*c^3*x^6+520*B*b^2*c^2*x^6+560*A*b^2*c^2*x^4-910*B*b^3*c*x^4-840*A*b^3*c*x^2+1365*B*b^4*x^2+1155*A*b^4)*(c*x^4+b*x^2)^(3/2)/b^5/x^16","A"
118,1,142,183,0.046000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^19,x)","-\frac{\left(c \,x^{2}+b \right) \left(-256 A \,c^{5} x^{10}+384 B b \,c^{4} x^{10}+640 A b \,c^{4} x^{8}-960 B \,b^{2} c^{3} x^{8}-1120 A \,b^{2} c^{3} x^{6}+1680 B \,b^{3} c^{2} x^{6}+1680 A \,b^{3} c^{2} x^{4}-2520 B \,b^{4} c \,x^{4}-2310 A \,b^{4} c \,x^{2}+3465 B \,b^{5} x^{2}+3003 A \,b^{5}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{45045 b^{6} x^{18}}"," ",0,"-1/45045*(c*x^2+b)*(-256*A*c^5*x^10+384*B*b*c^4*x^10+640*A*b*c^4*x^8-960*B*b^2*c^3*x^8-1120*A*b^2*c^3*x^6+1680*B*b^3*c^2*x^6+1680*A*b^3*c^2*x^4-2520*B*b^4*c*x^4-2310*A*b^4*c*x^2+3465*B*b^5*x^2+3003*A*b^5)*(c*x^4+b*x^2)^(3/2)/x^18/b^6","A"
119,1,115,148,0.052000," ","int(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-1155 B \,x^{8} c^{4}-1365 A \,c^{4} x^{6}+840 B b \,c^{3} x^{6}+910 A b \,c^{3} x^{4}-560 B \,b^{2} c^{2} x^{4}-520 A \,b^{2} c^{2} x^{2}+320 B \,b^{3} c \,x^{2}+208 A \,b^{3} c -128 B \,b^{4}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{15015 c^{5} x^{3}}"," ",0,"-1/15015*(c*x^2+b)*(-1155*B*c^4*x^8-1365*A*c^4*x^6+840*B*b*c^3*x^6+910*A*b*c^3*x^4-560*B*b^2*c^2*x^4-520*A*b^2*c^2*x^2+320*B*b^3*c*x^2+208*A*b^3*c-128*B*b^4)*(c*x^4+b*x^2)^(3/2)/c^5/x^3","A"
120,1,91,115,0.047000," ","int(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(315 B \,c^{3} x^{6}+385 A \,c^{3} x^{4}-210 B b \,c^{2} x^{4}-220 A b \,c^{2} x^{2}+120 B \,b^{2} c \,x^{2}+88 A \,b^{2} c -48 B \,b^{3}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{3465 c^{4} x^{3}}"," ",0,"1/3465*(c*x^2+b)*(315*B*c^3*x^6+385*A*c^3*x^4-210*B*b*c^2*x^4-220*A*b*c^2*x^2+120*B*b^2*c*x^2+88*A*b^2*c-48*B*b^3)*(c*x^4+b*x^2)^(3/2)/c^4/x^3","A"
121,1,67,84,0.052000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-35 B \,c^{2} x^{4}-45 A \,c^{2} x^{2}+20 B b c \,x^{2}+18 A b c -8 B \,b^{2}\right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{315 c^{3} x^{3}}"," ",0,"-1/315*(c*x^2+b)*(-35*B*c^2*x^4-45*A*c^2*x^2+20*B*b*c*x^2+18*A*b*c-8*B*b^2)*(c*x^4+b*x^2)^(3/2)/c^3/x^3","A"
122,1,45,53,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^2,x)","\frac{\left(c \,x^{2}+b \right) \left(5 B c \,x^{2}+7 A c -2 b B \right) \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}}}{35 c^{2} x^{3}}"," ",0,"1/35*(c*x^2+b)*(5*B*c*x^2+7*A*c-2*B*b)*(c*x^4+b*x^2)^(3/2)/c^2/x^3","A"
123,1,99,86,0.048000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^4,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(15 A \,b^{\frac{3}{2}} c \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{c \,x^{2}+b}\, A b c -5 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A c -3 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \right)}{15 \left(c \,x^{2}+b \right)^{\frac{3}{2}} c \,x^{3}}"," ",0,"-1/15*(c*x^4+b*x^2)^(3/2)*(-3*B*(c*x^2+b)^(5/2)+15*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*c-5*A*(c*x^2+b)^(3/2)*c-15*A*(c*x^2+b)^(1/2)*b*c)/x^3/(c*x^2+b)^(3/2)/c","A"
124,1,172,113,0.057000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^6,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(9 A \,b^{\frac{3}{2}} c \,x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+6 B \,b^{\frac{5}{2}} x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-9 \sqrt{c \,x^{2}+b}\, A b c \,x^{2}-6 \sqrt{c \,x^{2}+b}\, B \,b^{2} x^{2}-3 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A c \,x^{2}-2 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,x^{2}+3 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \right)}{6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b \,x^{5}}"," ",0,"-1/6*(c*x^4+b*x^2)^(3/2)*(9*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2*c-3*(c*x^2+b)^(3/2)*A*c*x^2+6*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2-2*(c*x^2+b)^(3/2)*B*b*x^2+3*A*(c*x^2+b)^(5/2)-9*A*(c*x^2+b)^(1/2)*x^2*b*c-6*B*(c*x^2+b)^(1/2)*x^2*b^2)/x^5/(c*x^2+b)^(3/2)/b","A"
125,1,213,115,0.062000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^8,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(3 A \,b^{\frac{3}{2}} c^{2} x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+12 B \,b^{\frac{5}{2}} c \,x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{c \,x^{2}+b}\, A b \,c^{2} x^{4}-12 \sqrt{c \,x^{2}+b}\, B \,b^{2} c \,x^{4}-\left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{2} x^{4}-4 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b c \,x^{4}+\left(c \,x^{2}+b \right)^{\frac{5}{2}} A c \,x^{2}+4 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,x^{2}+2 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \right)}{8 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{2} x^{7}}"," ",0,"-1/8*(c*x^4+b*x^2)^(3/2)*(-A*(c*x^2+b)^(3/2)*x^4*c^2+3*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*c^2-4*B*(c*x^2+b)^(3/2)*x^4*b*c+12*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*c+A*(c*x^2+b)^(5/2)*x^2*c-3*A*(c*x^2+b)^(1/2)*x^4*b*c^2+4*B*(c*x^2+b)^(5/2)*x^2*b-12*B*(c*x^2+b)^(1/2)*x^4*b^2*c+2*A*(c*x^2+b)^(5/2)*b)/x^7/(c*x^2+b)^(3/2)/b^2","A"
126,1,259,120,0.075000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^10,x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(3 A \,b^{\frac{3}{2}} c^{3} x^{6} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-18 B \,b^{\frac{5}{2}} c^{2} x^{6} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{c \,x^{2}+b}\, A b \,c^{3} x^{6}+18 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{2} x^{6}-\left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{3} x^{6}+6 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{2} x^{6}+\left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{2} x^{4}-6 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b c \,x^{4}+2 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b c \,x^{2}-12 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} x^{2}-8 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2}\right)}{48 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{3} x^{9}}"," ",0,"1/48*(c*x^4+b*x^2)^(3/2)*(-A*(c*x^2+b)^(3/2)*x^6*c^3+3*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^6*c^3+6*B*(c*x^2+b)^(3/2)*x^6*b*c^2-18*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^6*c^2+A*(c*x^2+b)^(5/2)*x^4*c^2-3*A*(c*x^2+b)^(1/2)*x^6*b*c^3-6*B*(c*x^2+b)^(5/2)*x^4*b*c+18*B*(c*x^2+b)^(1/2)*x^6*b^2*c^2+2*A*(c*x^2+b)^(5/2)*x^2*b*c-12*B*(c*x^2+b)^(5/2)*x^2*b^2-8*A*(c*x^2+b)^(5/2)*b^2)/x^9/(c*x^2+b)^(3/2)/b^3","B"
127,1,302,153,0.079000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^12,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(9 A \,b^{\frac{3}{2}} c^{4} x^{8} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-24 B \,b^{\frac{5}{2}} c^{3} x^{8} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-9 \sqrt{c \,x^{2}+b}\, A b \,c^{4} x^{8}+24 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{3} x^{8}-3 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{4} x^{8}+8 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{3} x^{8}+3 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{3} x^{6}-8 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{2} x^{6}+6 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{2} x^{4}-16 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} c \,x^{4}-24 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2} c \,x^{2}+64 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{3} x^{2}+48 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{3}\right)}{384 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{4} x^{11}}"," ",0,"-1/384*(c*x^4+b*x^2)^(3/2)*(-3*A*(c*x^2+b)^(3/2)*x^8*c^4+9*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^8*c^4+8*B*(c*x^2+b)^(3/2)*x^8*b*c^3-24*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^8*c^3+3*A*(c*x^2+b)^(5/2)*x^6*c^3-9*A*(c*x^2+b)^(1/2)*x^8*b*c^4-8*B*(c*x^2+b)^(5/2)*x^6*b*c^2+24*B*(c*x^2+b)^(1/2)*x^8*b^2*c^3+6*A*(c*x^2+b)^(5/2)*x^4*b*c^2-16*B*(c*x^2+b)^(5/2)*x^4*b^2*c-24*A*(c*x^2+b)^(5/2)*x^2*b^2*c+64*B*(c*x^2+b)^(5/2)*x^2*b^3+48*A*(c*x^2+b)^(5/2)*b^3)/x^11/(c*x^2+b)^(3/2)/b^4","A"
128,1,344,186,0.090000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^14,x)","\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(15 A \,b^{\frac{3}{2}} c^{5} x^{10} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-30 B \,b^{\frac{5}{2}} c^{4} x^{10} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 \sqrt{c \,x^{2}+b}\, A b \,c^{5} x^{10}+30 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{4} x^{10}-5 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{5} x^{10}+10 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{4} x^{10}+5 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{4} x^{8}-10 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{3} x^{8}+10 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{3} x^{6}-20 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} c^{2} x^{6}-40 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2} c^{2} x^{4}+80 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{3} c \,x^{4}+80 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{3} c \,x^{2}-160 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{4} x^{2}-128 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{4}\right)}{1280 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{5} x^{13}}"," ",0,"1/1280*(c*x^4+b*x^2)^(3/2)*(-5*A*(c*x^2+b)^(3/2)*x^10*c^5+15*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^10*c^5+10*B*(c*x^2+b)^(3/2)*x^10*b*c^4-30*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^10*c^4+5*A*(c*x^2+b)^(5/2)*x^8*c^4-15*A*(c*x^2+b)^(1/2)*x^10*b*c^5-10*B*(c*x^2+b)^(5/2)*x^8*b*c^3+30*B*(c*x^2+b)^(1/2)*x^10*b^2*c^4+10*A*(c*x^2+b)^(5/2)*x^6*b*c^3-20*B*(c*x^2+b)^(5/2)*x^6*b^2*c^2-40*A*(c*x^2+b)^(5/2)*x^4*b^2*c^2+80*B*(c*x^2+b)^(5/2)*x^4*b^3*c+80*A*(c*x^2+b)^(5/2)*x^2*b^3*c-160*B*(c*x^2+b)^(5/2)*x^2*b^4-128*A*(c*x^2+b)^(5/2)*b^4)/x^13/(c*x^2+b)^(3/2)/b^5","A"
129,1,386,219,0.151000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^16,x)","-\frac{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(105 A \,b^{\frac{3}{2}} c^{6} x^{12} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-180 B \,b^{\frac{5}{2}} c^{5} x^{12} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-105 \sqrt{c \,x^{2}+b}\, A b \,c^{6} x^{12}+180 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{5} x^{12}-35 \left(c \,x^{2}+b \right)^{\frac{3}{2}} A \,c^{6} x^{12}+60 \left(c \,x^{2}+b \right)^{\frac{3}{2}} B b \,c^{5} x^{12}+35 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,c^{5} x^{10}-60 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B b \,c^{4} x^{10}+70 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A b \,c^{4} x^{8}-120 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{2} c^{3} x^{8}-280 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{2} c^{3} x^{6}+480 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{3} c^{2} x^{6}+560 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{3} c^{2} x^{4}-960 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{4} c \,x^{4}-896 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{4} c \,x^{2}+1536 \left(c \,x^{2}+b \right)^{\frac{5}{2}} B \,b^{5} x^{2}+1280 \left(c \,x^{2}+b \right)^{\frac{5}{2}} A \,b^{5}\right)}{15360 \left(c \,x^{2}+b \right)^{\frac{3}{2}} b^{6} x^{15}}"," ",0,"-1/15360*(c*x^4+b*x^2)^(3/2)*(-35*A*(c*x^2+b)^(3/2)*x^12*c^6+105*A*b^(3/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^12*c^6+60*B*(c*x^2+b)^(3/2)*x^12*b*c^5-180*B*b^(5/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^12*c^5+35*A*(c*x^2+b)^(5/2)*x^10*c^5-105*A*(c*x^2+b)^(1/2)*x^12*b*c^6-60*B*(c*x^2+b)^(5/2)*x^10*b*c^4+180*B*(c*x^2+b)^(1/2)*x^12*b^2*c^5+70*A*(c*x^2+b)^(5/2)*x^8*b*c^4-120*B*(c*x^2+b)^(5/2)*x^8*b^2*c^3-280*A*(c*x^2+b)^(5/2)*x^6*b^2*c^3+480*B*(c*x^2+b)^(5/2)*x^6*b^3*c^2+560*A*(c*x^2+b)^(5/2)*x^4*b^3*c^2-960*B*(c*x^2+b)^(5/2)*x^4*b^4*c-896*A*(c*x^2+b)^(5/2)*x^2*b^4*c+1536*B*(c*x^2+b)^(5/2)*x^2*b^5+1280*A*(c*x^2+b)^(5/2)*b^5)/x^15/(c*x^2+b)^(3/2)/b^6","A"
130,1,211,152,0.058000," ","int(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b}\, \left(48 \sqrt{c \,x^{2}+b}\, B \,c^{\frac{9}{2}} x^{7}+64 \sqrt{c \,x^{2}+b}\, A \,c^{\frac{9}{2}} x^{5}-56 \sqrt{c \,x^{2}+b}\, B b \,c^{\frac{7}{2}} x^{5}-80 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{7}{2}} x^{3}+70 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{\frac{5}{2}} x^{3}-120 A \,b^{3} c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+105 B \,b^{4} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+120 \sqrt{c \,x^{2}+b}\, A \,b^{2} c^{\frac{5}{2}} x -105 \sqrt{c \,x^{2}+b}\, B \,b^{3} c^{\frac{3}{2}} x \right) x}{384 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{\frac{11}{2}}}"," ",0,"1/384*x*(c*x^2+b)^(1/2)*(48*B*(c*x^2+b)^(1/2)*c^(9/2)*x^7+64*A*(c*x^2+b)^(1/2)*c^(9/2)*x^5-56*B*(c*x^2+b)^(1/2)*c^(7/2)*x^5*b-80*A*(c*x^2+b)^(1/2)*c^(7/2)*x^3*b+70*B*(c*x^2+b)^(1/2)*c^(5/2)*x^3*b^2+120*A*(c*x^2+b)^(1/2)*c^(5/2)*x*b^2-105*B*(c*x^2+b)^(1/2)*c^(3/2)*x*b^3-120*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^3*c^2+105*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^4*c)/(c*x^4+b*x^2)^(1/2)/c^(11/2)","A"
131,1,169,119,0.055000," ","int(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b}\, \left(8 \sqrt{c \,x^{2}+b}\, B \,c^{\frac{7}{2}} x^{5}+12 \sqrt{c \,x^{2}+b}\, A \,c^{\frac{7}{2}} x^{3}-10 \sqrt{c \,x^{2}+b}\, B b \,c^{\frac{5}{2}} x^{3}+18 A \,b^{2} c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-15 B \,b^{3} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-18 \sqrt{c \,x^{2}+b}\, A b \,c^{\frac{5}{2}} x +15 \sqrt{c \,x^{2}+b}\, B \,b^{2} c^{\frac{3}{2}} x \right) x}{48 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{\frac{9}{2}}}"," ",0,"1/48*x*(c*x^2+b)^(1/2)*(8*B*(c*x^2+b)^(1/2)*c^(7/2)*x^5+12*A*(c*x^2+b)^(1/2)*c^(7/2)*x^3-10*B*(c*x^2+b)^(1/2)*c^(5/2)*x^3*b-18*A*(c*x^2+b)^(1/2)*c^(5/2)*x*b+15*B*(c*x^2+b)^(1/2)*c^(3/2)*x*b^2+18*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2*c^2-15*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^3*c)/(c*x^4+b*x^2)^(1/2)/c^(9/2)","A"
132,1,127,71,0.054000," ","int(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b}\, \left(2 \sqrt{c \,x^{2}+b}\, B \,c^{\frac{5}{2}} x^{3}-4 A b \,c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+3 B \,b^{2} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+4 \sqrt{c \,x^{2}+b}\, A \,c^{\frac{5}{2}} x -3 \sqrt{c \,x^{2}+b}\, B b \,c^{\frac{3}{2}} x \right) x}{8 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{\frac{7}{2}}}"," ",0,"1/8*x*(c*x^2+b)^(1/2)*(2*B*c^(5/2)*(c*x^2+b)^(1/2)*x^3+4*A*c^(5/2)*(c*x^2+b)^(1/2)*x-3*B*c^(3/2)*(c*x^2+b)^(1/2)*x*b-4*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b*c^2+3*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2*c)/(c*x^4+b*x^2)^(1/2)/c^(7/2)","A"
133,1,88,54,0.065000," ","int(x*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\sqrt{c \,x^{2}+b}\, \left(2 A \,c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-B b c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+\sqrt{c \,x^{2}+b}\, B \,c^{\frac{3}{2}} x \right) x}{2 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{\frac{5}{2}}}"," ",0,"1/2*x*(c*x^2+b)^(1/2)*(B*c^(3/2)*(c*x^2+b)^(1/2)*x+2*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*c^2-B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b*c)/(c*x^4+b*x^2)^(1/2)/c^(5/2)","A"
134,1,67,49,0.058000," ","int((B*x^2+A)/x/(c*x^4+b*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}+b}\, \left(-B b x \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+\sqrt{c \,x^{2}+b}\, A \sqrt{c}\right)}{\sqrt{c \,x^{4}+b \,x^{2}}\, b \sqrt{c}}"," ",0,"-(c*x^2+b)^(1/2)*(-B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*x*b+A*(c*x^2+b)^(1/2)*c^(1/2))/(c*x^4+b*x^2)^(1/2)/c^(1/2)/b","A"
135,1,47,53,0.050000," ","int((B*x^2+A)/x^3/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-2 A c \,x^{2}+3 B b \,x^{2}+A b \right)}{3 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{2} x^{2}}"," ",0,"-1/3*(c*x^2+b)*(-2*A*c*x^2+3*B*b*x^2+A*b)/x^2/b^2/(c*x^4+b*x^2)^(1/2)","A"
136,1,70,84,0.051000," ","int((B*x^2+A)/x^5/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(8 A \,c^{2} x^{4}-10 B b c \,x^{4}-4 A b c \,x^{2}+5 B \,b^{2} x^{2}+3 b^{2} A \right)}{15 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{3} x^{4}}"," ",0,"-1/15*(c*x^2+b)*(8*A*c^2*x^4-10*B*b*c*x^4-4*A*b*c*x^2+5*B*b^2*x^2+3*A*b^2)/x^4/b^3/(c*x^4+b*x^2)^(1/2)","A"
137,1,94,117,0.054000," ","int((B*x^2+A)/x^7/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-48 A \,c^{3} x^{6}+56 B b \,c^{2} x^{6}+24 A b \,c^{2} x^{4}-28 B \,b^{2} c \,x^{4}-18 A \,b^{2} c \,x^{2}+21 B \,b^{3} x^{2}+15 A \,b^{3}\right)}{105 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{4} x^{6}}"," ",0,"-1/105*(c*x^2+b)*(-48*A*c^3*x^6+56*B*b*c^2*x^6+24*A*b*c^2*x^4-28*B*b^2*c*x^4-18*A*b^2*c*x^2+21*B*b^3*x^2+15*A*b^3)/x^6/b^4/(c*x^4+b*x^2)^(1/2)","A"
138,1,118,150,0.047000," ","int((B*x^2+A)/x^9/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(128 A \,c^{4} x^{8}-144 B b \,c^{3} x^{8}-64 A b \,c^{3} x^{6}+72 B \,b^{2} c^{2} x^{6}+48 A \,b^{2} c^{2} x^{4}-54 B \,b^{3} c \,x^{4}-40 A \,b^{3} c \,x^{2}+45 B \,b^{4} x^{2}+35 A \,b^{4}\right)}{315 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{5} x^{8}}"," ",0,"-1/315*(c*x^2+b)*(128*A*c^4*x^8-144*B*b*c^3*x^8-64*A*b*c^3*x^6+72*B*b^2*c^2*x^6+48*A*b^2*c^2*x^4-54*B*b^3*c*x^4-40*A*b^3*c*x^2+45*B*b^4*x^2+35*A*b^4)/x^8/b^5/(c*x^4+b*x^2)^(1/2)","A"
139,1,89,115,0.048000," ","int(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(c \,x^{2}+b \right) \left(15 B \,c^{3} x^{6}+21 A \,c^{3} x^{4}-18 B b \,c^{2} x^{4}-28 A b \,c^{2} x^{2}+24 B \,b^{2} c \,x^{2}+56 A \,b^{2} c -48 B \,b^{3}\right) x}{105 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{4}}"," ",0,"1/105*(c*x^2+b)*(15*B*c^3*x^6+21*A*c^3*x^4-18*B*b*c^2*x^4-28*A*b*c^2*x^2+24*B*b^2*c*x^2+56*A*b^2*c-48*B*b^3)*x/c^4/(c*x^4+b*x^2)^(1/2)","A"
140,1,65,82,0.047000," ","int(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-3 B \,c^{2} x^{4}-5 A \,c^{2} x^{2}+4 B b c \,x^{2}+10 A b c -8 B \,b^{2}\right) x}{15 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{3}}"," ",0,"-1/15*(c*x^2+b)*(-3*B*c^2*x^4-5*A*c^2*x^2+4*B*b*c*x^2+10*A*b*c-8*B*b^2)*x/c^3/(c*x^4+b*x^2)^(1/2)","A"
141,1,42,51,0.049000," ","int(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(c \,x^{2}+b \right) \left(B c \,x^{2}+3 A c -2 b B \right) x}{3 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{2}}"," ",0,"1/3*(c*x^2+b)*(B*c*x^2+3*A*c-2*B*b)*x/c^2/(c*x^4+b*x^2)^(1/2)","A"
142,1,72,47,0.056000," ","int((B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}+b}\, \left(A c \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-\sqrt{c \,x^{2}+b}\, B \sqrt{b}\right) x}{\sqrt{c \,x^{4}+b \,x^{2}}\, \sqrt{b}\, c}"," ",0,"-x*(c*x^2+b)^(1/2)*(A*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*c-B*(c*x^2+b)^(1/2)*b^(1/2))/(c*x^4+b*x^2)^(1/2)/c/b^(1/2)","A"
143,1,105,56,0.055000," ","int((B*x^2+A)/x^2/(c*x^4+b*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}+b}\, \left(-A b c \,x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+2 B \,b^{2} x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+\sqrt{c \,x^{2}+b}\, A \,b^{\frac{3}{2}}\right)}{2 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{\frac{5}{2}} x}"," ",0,"-1/2/x*(c*x^2+b)^(1/2)*(2*B*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2*b^2-A*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^2*b*c+A*b^(3/2)*(c*x^2+b)^(1/2))/(c*x^4+b*x^2)^(1/2)/b^(5/2)","A"
144,1,146,87,0.056000," ","int((B*x^2+A)/x^4/(c*x^4+b*x^2)^(1/2),x)","-\frac{\sqrt{c \,x^{2}+b}\, \left(3 A b \,c^{2} x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-4 B \,b^{2} c \,x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-3 \sqrt{c \,x^{2}+b}\, A \,b^{\frac{3}{2}} c \,x^{2}+4 \sqrt{c \,x^{2}+b}\, B \,b^{\frac{5}{2}} x^{2}+2 \sqrt{c \,x^{2}+b}\, A \,b^{\frac{5}{2}}\right)}{8 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{\frac{7}{2}} x^{3}}"," ",0,"-1/8*(c*x^2+b)^(1/2)*(3*A*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*b*c^2+4*B*(c*x^2+b)^(1/2)*b^(5/2)*x^2-4*B*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*b^2*c-3*A*(c*x^2+b)^(1/2)*b^(3/2)*x^2*c+2*A*(c*x^2+b)^(1/2)*b^(5/2))/x^3/(c*x^4+b*x^2)^(1/2)/b^(7/2)","A"
145,1,166,162,0.057000," ","int(x^9*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(8 B \,c^{\frac{9}{2}} x^{7}+12 A \,c^{\frac{9}{2}} x^{5}-14 B b \,c^{\frac{7}{2}} x^{5}-30 A b \,c^{\frac{7}{2}} x^{3}+35 B \,b^{2} c^{\frac{5}{2}} x^{3}-90 A \,b^{2} c^{\frac{5}{2}} x +105 B \,b^{3} c^{\frac{3}{2}} x +90 \sqrt{c \,x^{2}+b}\, A \,b^{2} c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-105 \sqrt{c \,x^{2}+b}\, B \,b^{3} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)\right) x^{3}}{48 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{\frac{11}{2}}}"," ",0,"1/48*x^3*(c*x^2+b)*(8*B*c^(9/2)*x^7+12*A*c^(9/2)*x^5-14*B*c^(7/2)*x^5*b-30*A*c^(7/2)*x^3*b+35*B*c^(5/2)*x^3*b^2-90*A*c^(5/2)*x*b^2+105*B*c^(3/2)*x*b^3+90*A*(c*x^2+b)^(1/2)*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2*c^2-105*B*(c*x^2+b)^(1/2)*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^3*c)/(c*x^4+b*x^2)^(3/2)/c^(11/2)","A"
146,1,140,129,0.061000," ","int(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-2 B \,c^{\frac{7}{2}} x^{5}-4 A \,c^{\frac{7}{2}} x^{3}+5 B b \,c^{\frac{5}{2}} x^{3}-12 A b \,c^{\frac{5}{2}} x +15 B \,b^{2} c^{\frac{3}{2}} x +12 \sqrt{c \,x^{2}+b}\, A b \,c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)-15 \sqrt{c \,x^{2}+b}\, B \,b^{2} c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)\right) x^{3}}{8 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{\frac{9}{2}}}"," ",0,"-1/8*x^3*(c*x^2+b)*(-2*B*c^(7/2)*x^5-4*A*c^(7/2)*x^3+5*B*c^(5/2)*x^3*b-12*A*c^(5/2)*x*b+15*B*c^(3/2)*x*b^2+12*A*(c*x^2+b)^(1/2)*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b*c^2-15*B*(c*x^2+b)^(1/2)*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*b^2*c)/(c*x^4+b*x^2)^(3/2)/c^(9/2)","A"
147,1,115,98,0.058000," ","int(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-B \,c^{\frac{5}{2}} x^{3}+2 A \,c^{\frac{5}{2}} x -3 B b \,c^{\frac{3}{2}} x -2 \sqrt{c \,x^{2}+b}\, A \,c^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)+3 \sqrt{c \,x^{2}+b}\, B b c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)\right) x^{3}}{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{\frac{7}{2}}}"," ",0,"-1/2*x^3*(c*x^2+b)*(-B*c^(5/2)*x^3+2*A*c^(5/2)*x-3*B*c^(3/2)*x*b-2*A*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*(c*x^2+b)^(1/2)*c^2+3*B*ln(c^(1/2)*x+(c*x^2+b)^(1/2))*(c*x^2+b)^(1/2)*b*c)/(c*x^4+b*x^2)^(3/2)/c^(7/2)","A"
148,1,75,59,0.053000," ","int(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(A \,c^{\frac{5}{2}} x -B b \,c^{\frac{3}{2}} x +\sqrt{c \,x^{2}+b}\, B b c \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+b}\right)\right) x^{3}}{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b \,c^{\frac{5}{2}}}"," ",0,"x^3*(c*x^2+b)*(A*c^(5/2)*x-B*b*c^(3/2)*x+(c*x^2+b)^(1/2)*B*b*c*ln(c^(1/2)*x+(c*x^2+b)^(1/2)))/(c*x^4+b*x^2)^(3/2)/c^(5/2)/b","A"
149,1,47,34,0.050000," ","int(x*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(2 A c \,x^{2}-B b \,x^{2}+A b \right) x^{2}}{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{2}}"," ",0,"-(c*x^2+b)*x^2*(2*A*c*x^2-B*b*x^2+A*b)/b^2/(c*x^4+b*x^2)^(3/2)","A"
150,1,66,58,0.048000," ","int((B*x^2+A)/x/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-8 A \,c^{2} x^{4}+6 B b c \,x^{4}-4 A b c \,x^{2}+3 B \,b^{2} x^{2}+b^{2} A \right)}{3 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-1/3*(c*x^2+b)*(-8*A*c^2*x^4+6*B*b*c*x^4-4*A*b*c*x^2+3*B*b^2*x^2+A*b^2)/b^3/(c*x^4+b*x^2)^(3/2)","A"
151,1,94,89,0.049000," ","int((B*x^2+A)/x^3/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(48 A \,c^{3} x^{6}-40 B b \,c^{2} x^{6}+24 A b \,c^{2} x^{4}-20 B \,b^{2} c \,x^{4}-6 A \,b^{2} c \,x^{2}+5 B \,b^{3} x^{2}+3 A \,b^{3}\right)}{15 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{4} x^{2}}"," ",0,"-1/15*(c*x^2+b)*(48*A*c^3*x^6-40*B*b*c^2*x^6+24*A*b*c^2*x^4-20*B*b^2*c*x^4-6*A*b^2*c*x^2+5*B*b^3*x^2+3*A*b^3)/x^2/b^4/(c*x^4+b*x^2)^(3/2)","A"
152,1,118,122,0.050000," ","int((B*x^2+A)/x^5/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-128 A \,c^{4} x^{8}+112 B b \,c^{3} x^{8}-64 A b \,c^{3} x^{6}+56 B \,b^{2} c^{2} x^{6}+16 A \,b^{2} c^{2} x^{4}-14 B \,b^{3} c \,x^{4}-8 A \,b^{3} c \,x^{2}+7 B \,b^{4} x^{2}+5 A \,b^{4}\right)}{35 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{5} x^{4}}"," ",0,"-1/35*(c*x^2+b)*(-128*A*c^4*x^8+112*B*b*c^3*x^8-64*A*b*c^3*x^6+56*B*b^2*c^2*x^6+16*A*b^2*c^2*x^4-14*B*b^3*c*x^4-8*A*b^3*c*x^2+7*B*b^4*x^2+5*A*b^4)/x^4/b^5/(c*x^4+b*x^2)^(3/2)","A"
153,1,91,125,0.051000," ","int(x^8*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-3 B \,c^{3} x^{6}-5 A \,c^{3} x^{4}+6 B b \,c^{2} x^{4}+20 A b \,c^{2} x^{2}-24 B \,b^{2} c \,x^{2}+40 A \,b^{2} c -48 B \,b^{3}\right) x^{3}}{15 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{4}}"," ",0,"-1/15*(c*x^2+b)*(-3*B*c^3*x^6-5*A*c^3*x^4+6*B*b*c^2*x^4+20*A*b*c^2*x^2-24*B*b^2*c*x^2+40*A*b^2*c-48*B*b^3)*x^3/c^4/(c*x^4+b*x^2)^(3/2)","A"
154,1,66,94,0.052000," ","int(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(B \,c^{2} x^{4}+3 A \,c^{2} x^{2}-4 B b c \,x^{2}+6 A b c -8 B \,b^{2}\right) x^{3}}{3 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{3}}"," ",0,"1/3*(c*x^2+b)*(B*c^2*x^4+3*A*c^2*x^2-4*B*b*c*x^2+6*A*b*c-8*B*b^2)*x^3/c^3/(c*x^4+b*x^2)^(3/2)","A"
155,1,44,65,0.050000," ","int(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-B c \,x^{2}+A c -2 b B \right) x^{3}}{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{2}}"," ",0,"-(c*x^2+b)*(-B*c*x^2+A*c-2*B*b)*x^3/c^2/(c*x^4+b*x^2)^(3/2)","A"
156,1,79,56,0.057000," ","int(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(-\sqrt{c \,x^{2}+b}\, A b c \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+A \,b^{\frac{3}{2}} c -B \,b^{\frac{5}{2}}\right) x^{3}}{\left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{\frac{5}{2}} c}"," ",0,"x^3*(c*x^2+b)*(A*b^(3/2)*c-A*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*(c*x^2+b)^(1/2)*b*c-B*b^(5/2))/(c*x^4+b*x^2)^(3/2)/c/b^(5/2)","A"
157,1,129,122,0.060000," ","int((B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-3 \sqrt{c \,x^{2}+b}\, A b c \,x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+2 \sqrt{c \,x^{2}+b}\, B \,b^{2} x^{2} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)+3 A \,b^{\frac{3}{2}} c \,x^{2}-2 B \,b^{\frac{5}{2}} x^{2}+A \,b^{\frac{5}{2}}\right) x}{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{\frac{7}{2}}}"," ",0,"-1/2*x*(c*x^2+b)*(3*A*b^(3/2)*x^2*c-3*A*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*(c*x^2+b)^(1/2)*x^2*b*c-2*B*b^(5/2)*x^2+2*B*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*(c*x^2+b)^(1/2)*x^2*b^2+A*b^(5/2))/(c*x^4+b*x^2)^(3/2)/b^(7/2)","A"
158,1,157,117,0.056000," ","int((B*x^2+A)/x^2/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(15 \sqrt{c \,x^{2}+b}\, A b \,c^{2} x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-12 \sqrt{c \,x^{2}+b}\, B \,b^{2} c \,x^{4} \ln \left(\frac{2 b +2 \sqrt{c \,x^{2}+b}\, \sqrt{b}}{x}\right)-15 A \,b^{\frac{3}{2}} c^{2} x^{4}+12 B \,b^{\frac{5}{2}} c \,x^{4}-5 A \,b^{\frac{5}{2}} c \,x^{2}+4 B \,b^{\frac{7}{2}} x^{2}+2 A \,b^{\frac{7}{2}}\right)}{8 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{\frac{9}{2}} x}"," ",0,"-1/8/x*(c*x^2+b)*(15*A*(c*x^2+b)^(1/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*b*c^2-15*A*b^(3/2)*x^4*c^2-12*B*(c*x^2+b)^(1/2)*ln(2*(b+(c*x^2+b)^(1/2)*b^(1/2))/x)*x^4*b^2*c+12*B*b^(5/2)*x^4*c-5*A*b^(5/2)*x^2*c+4*B*b^(7/2)*x^2+2*A*b^(7/2))/(c*x^4+b*x^2)^(3/2)/b^(9/2)","A"
159,1,32,27,0.046000," ","int(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{2 \left(221 B c \,x^{4}+273 A c \,x^{2}+273 B b \,x^{2}+357 A b \right) x^{\frac{13}{2}}}{4641}"," ",0,"2/4641*x^(13/2)*(221*B*c*x^4+273*A*c*x^2+273*B*b*x^2+357*A*b)","A"
160,1,32,27,0.059000," ","int(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{2 \left(165 B c \,x^{4}+209 A c \,x^{2}+209 B b \,x^{2}+285 A b \right) x^{\frac{11}{2}}}{3135}"," ",0,"2/3135*x^(11/2)*(165*B*c*x^4+209*A*c*x^2+209*B*b*x^2+285*A*b)","A"
161,1,32,27,0.049000," ","int(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{2 \left(117 B c \,x^{4}+153 A c \,x^{2}+153 B b \,x^{2}+221 A b \right) x^{\frac{9}{2}}}{1989}"," ",0,"2/1989*x^(9/2)*(117*B*c*x^4+153*A*c*x^2+153*B*b*x^2+221*A*b)","A"
162,1,32,27,0.046000," ","int((B*x^2+A)*(c*x^4+b*x^2)*x^(1/2),x)","\frac{2 \left(77 B c \,x^{4}+105 A c \,x^{2}+105 B b \,x^{2}+165 A b \right) x^{\frac{7}{2}}}{1155}"," ",0,"2/1155*x^(7/2)*(77*B*c*x^4+105*A*c*x^2+105*B*b*x^2+165*A*b)","A"
163,1,32,27,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^(1/2),x)","\frac{2 \left(45 B c \,x^{4}+65 A c \,x^{2}+65 B b \,x^{2}+117 A b \right) x^{\frac{5}{2}}}{585}"," ",0,"2/585*x^(5/2)*(45*B*c*x^4+65*A*c*x^2+65*B*b*x^2+117*A*b)","A"
164,1,32,27,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^(3/2),x)","\frac{2 \left(21 B c \,x^{4}+33 A c \,x^{2}+33 B b \,x^{2}+77 A b \right) x^{\frac{3}{2}}}{231}"," ",0,"2/231*x^(3/2)*(21*B*c*x^4+33*A*c*x^2+33*B*b*x^2+77*A*b)","A"
165,1,32,27,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^(5/2),x)","\frac{2 \left(5 B c \,x^{4}+9 A c \,x^{2}+9 B b \,x^{2}+45 A b \right) \sqrt{x}}{45}"," ",0,"2/45*x^(1/2)*(5*B*c*x^4+9*A*c*x^2+9*B*b*x^2+45*A*b)","A"
166,1,32,27,0.045000," ","int((B*x^2+A)*(c*x^4+b*x^2)/x^(7/2),x)","-\frac{2 \left(-3 B c \,x^{4}-7 A c \,x^{2}-7 B b \,x^{2}+21 A b \right)}{21 \sqrt{x}}"," ",0,"-2/21/x^(1/2)*(-3*B*c*x^4-7*A*c*x^2-7*B*b*x^2+21*A*b)","A"
167,1,56,47,0.048000," ","int(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x)","\frac{2 \left(8925 B \,c^{2} x^{6}+10353 A \,c^{2} x^{4}+20706 B b c \,x^{4}+24650 A b c \,x^{2}+12325 B \,b^{2} x^{2}+15225 b^{2} A \right) x^{\frac{17}{2}}}{258825}"," ",0,"2/258825*x^(17/2)*(8925*B*c^2*x^6+10353*A*c^2*x^4+20706*B*b*c*x^4+24650*A*b*c*x^2+12325*B*b^2*x^2+15225*A*b^2)","A"
168,1,56,47,0.046000," ","int(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x)","\frac{2 \left(2185 B \,c^{2} x^{6}+2565 A \,c^{2} x^{4}+5130 B b c \,x^{4}+6210 A b c \,x^{2}+3105 B \,b^{2} x^{2}+3933 b^{2} A \right) x^{\frac{15}{2}}}{58995}"," ",0,"2/58995*x^(15/2)*(2185*B*c^2*x^6+2565*A*c^2*x^4+5130*B*b*c*x^4+6210*A*b*c*x^2+3105*B*b^2*x^2+3933*A*b^2)","A"
169,1,56,47,0.049000," ","int(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x)","\frac{2 \left(4641 B \,c^{2} x^{6}+5525 A \,c^{2} x^{4}+11050 B b c \,x^{4}+13650 A b c \,x^{2}+6825 B \,b^{2} x^{2}+8925 b^{2} A \right) x^{\frac{13}{2}}}{116025}"," ",0,"2/116025*x^(13/2)*(4641*B*c^2*x^6+5525*A*c^2*x^4+11050*B*b*c*x^4+13650*A*b*c*x^2+6825*B*b^2*x^2+8925*A*b^2)","A"
170,1,56,47,0.049000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2*x^(1/2),x)","\frac{2 \left(3135 B \,c^{2} x^{6}+3795 A \,c^{2} x^{4}+7590 B b c \,x^{4}+9614 A b c \,x^{2}+4807 B \,b^{2} x^{2}+6555 b^{2} A \right) x^{\frac{11}{2}}}{72105}"," ",0,"2/72105*x^(11/2)*(3135*B*c^2*x^6+3795*A*c^2*x^4+7590*B*b*c*x^4+9614*A*b*c*x^2+4807*B*b^2*x^2+6555*A*b^2)","A"
171,1,56,47,0.050000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^(1/2),x)","\frac{2 \left(663 B \,c^{2} x^{6}+819 A \,c^{2} x^{4}+1638 B b c \,x^{4}+2142 A b c \,x^{2}+1071 B \,b^{2} x^{2}+1547 b^{2} A \right) x^{\frac{9}{2}}}{13923}"," ",0,"2/13923*x^(9/2)*(663*B*c^2*x^6+819*A*c^2*x^4+1638*B*b*c*x^4+2142*A*b*c*x^2+1071*B*b^2*x^2+1547*A*b^2)","A"
172,1,56,47,0.055000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^(3/2),x)","\frac{2 \left(1155 B \,c^{2} x^{6}+1463 A \,c^{2} x^{4}+2926 B b c \,x^{4}+3990 A b c \,x^{2}+1995 B \,b^{2} x^{2}+3135 b^{2} A \right) x^{\frac{7}{2}}}{21945}"," ",0,"2/21945*x^(7/2)*(1155*B*c^2*x^6+1463*A*c^2*x^4+2926*B*b*c*x^4+3990*A*b*c*x^2+1995*B*b^2*x^2+3135*A*b^2)","A"
173,1,56,47,0.057000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^(5/2),x)","\frac{2 \left(585 B \,c^{2} x^{6}+765 A \,c^{2} x^{4}+1530 B b c \,x^{4}+2210 A b c \,x^{2}+1105 B \,b^{2} x^{2}+1989 b^{2} A \right) x^{\frac{5}{2}}}{9945}"," ",0,"2/9945*x^(5/2)*(585*B*c^2*x^6+765*A*c^2*x^4+1530*B*b*c*x^4+2210*A*b*c*x^2+1105*B*b^2*x^2+1989*A*b^2)","A"
174,1,56,47,0.054000," ","int((B*x^2+A)*(c*x^4+b*x^2)^2/x^(7/2),x)","\frac{2 \left(77 B \,c^{2} x^{6}+105 A \,c^{2} x^{4}+210 B b c \,x^{4}+330 A b c \,x^{2}+165 B \,b^{2} x^{2}+385 b^{2} A \right) x^{\frac{3}{2}}}{1155}"," ",0,"2/1155*x^(3/2)*(77*B*c^2*x^6+105*A*c^2*x^4+210*B*b*c*x^4+330*A*b*c*x^2+165*B*b^2*x^2+385*A*b^2)","A"
175,1,80,65,0.050000," ","int(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x)","\frac{2 \left(167475 B \,c^{3} x^{8}+187775 A \,c^{3} x^{6}+563325 B b \,c^{2} x^{6}+641025 A b \,c^{2} x^{4}+641025 B \,b^{2} c \,x^{4}+743589 A \,b^{2} c \,x^{2}+247863 B \,b^{3} x^{2}+295075 A \,b^{3}\right) x^{\frac{21}{2}}}{6196575}"," ",0,"2/6196575*x^(21/2)*(167475*B*c^3*x^8+187775*A*c^3*x^6+563325*B*b*c^2*x^6+641025*A*b*c^2*x^4+641025*B*b^2*c*x^4+743589*A*b^2*c*x^2+247863*B*b^3*x^2+295075*A*b^3)","A"
176,1,80,65,0.049000," ","int(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x)","\frac{2 \left(121923 B \,c^{3} x^{8}+137655 A \,c^{3} x^{6}+412965 B b \,c^{2} x^{6}+474145 A b \,c^{2} x^{4}+474145 B \,b^{2} c \,x^{4}+556605 A \,b^{2} c \,x^{2}+185535 B \,b^{3} x^{2}+224595 A \,b^{3}\right) x^{\frac{19}{2}}}{4267305}"," ",0,"2/4267305*x^(19/2)*(121923*B*c^3*x^8+137655*A*c^3*x^6+412965*B*b*c^2*x^6+474145*A*b*c^2*x^4+474145*B*b^2*c*x^4+556605*A*b^2*c*x^2+185535*B*b^3*x^2+224595*A*b^3)","A"
177,1,80,65,0.049000," ","int(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x)","\frac{2 \left(86275 B \,c^{3} x^{8}+98175 A \,c^{3} x^{6}+294525 B b \,c^{2} x^{6}+341649 A b \,c^{2} x^{4}+341649 B \,b^{2} c \,x^{4}+406725 A \,b^{2} c \,x^{2}+135575 B \,b^{3} x^{2}+167475 A \,b^{3}\right) x^{\frac{17}{2}}}{2847075}"," ",0,"2/2847075*x^(17/2)*(86275*B*c^3*x^8+98175*A*c^3*x^6+294525*B*b*c^2*x^6+341649*A*b*c^2*x^4+341649*B*b^2*c*x^4+406725*A*b^2*c*x^2+135575*B*b^3*x^2+167475*A*b^3)","A"
178,1,80,65,0.052000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3*x^(1/2),x)","\frac{2 \left(58995 B \,c^{3} x^{8}+67735 A \,c^{3} x^{6}+203205 B b \,c^{2} x^{6}+238545 A b \,c^{2} x^{4}+238545 B \,b^{2} c \,x^{4}+288765 A \,b^{2} c \,x^{2}+96255 B \,b^{3} x^{2}+121923 A \,b^{3}\right) x^{\frac{15}{2}}}{1828845}"," ",0,"2/1828845*x^(15/2)*(58995*B*c^3*x^8+67735*A*c^3*x^6+203205*B*b*c^2*x^6+238545*A*b*c^2*x^4+238545*B*b^2*c*x^4+288765*A*b^2*c*x^2+96255*B*b^3*x^2+121923*A*b^3)","A"
179,1,80,65,0.051000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^(1/2),x)","\frac{2 \left(38675 B \,c^{3} x^{8}+44863 A \,c^{3} x^{6}+134589 B b \,c^{2} x^{6}+160225 A b \,c^{2} x^{4}+160225 B \,b^{2} c \,x^{4}+197925 A \,b^{2} c \,x^{2}+65975 B \,b^{3} x^{2}+86275 A \,b^{3}\right) x^{\frac{13}{2}}}{1121575}"," ",0,"2/1121575*x^(13/2)*(38675*B*c^3*x^8+44863*A*c^3*x^6+134589*B*b*c^2*x^6+160225*A*b*c^2*x^4+160225*B*b^2*c*x^4+197925*A*b^2*c*x^2+65975*B*b^3*x^2+86275*A*b^3)","A"
180,1,80,65,0.052000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^(3/2),x)","\frac{2 \left(24035 B \,c^{3} x^{8}+28215 A \,c^{3} x^{6}+84645 B b \,c^{2} x^{6}+102465 A b \,c^{2} x^{4}+102465 B \,b^{2} c \,x^{4}+129789 A \,b^{2} c \,x^{2}+43263 B \,b^{3} x^{2}+58995 A \,b^{3}\right) x^{\frac{11}{2}}}{648945}"," ",0,"2/648945*x^(11/2)*(24035*B*c^3*x^8+28215*A*c^3*x^6+84645*B*b*c^2*x^6+102465*A*b*c^2*x^4+102465*B*b^2*c*x^4+129789*A*b^2*c*x^2+43263*B*b^3*x^2+58995*A*b^3)","A"
181,1,80,65,0.053000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^(5/2),x)","\frac{2 \left(13923 B \,c^{3} x^{8}+16575 A \,c^{3} x^{6}+49725 B b \,c^{2} x^{6}+61425 A b \,c^{2} x^{4}+61425 B \,b^{2} c \,x^{4}+80325 A \,b^{2} c \,x^{2}+26775 B \,b^{3} x^{2}+38675 A \,b^{3}\right) x^{\frac{9}{2}}}{348075}"," ",0,"2/348075*x^(9/2)*(13923*B*c^3*x^8+16575*A*c^3*x^6+49725*B*b*c^2*x^6+61425*A*b*c^2*x^4+61425*B*b^2*c*x^4+80325*A*b^2*c*x^2+26775*B*b^3*x^2+38675*A*b^3)","A"
182,1,80,65,0.047000," ","int((B*x^2+A)*(c*x^4+b*x^2)^3/x^(7/2),x)","\frac{2 \left(7315 B \,c^{3} x^{8}+8855 A \,c^{3} x^{6}+26565 B b \,c^{2} x^{6}+33649 A b \,c^{2} x^{4}+33649 B \,b^{2} c \,x^{4}+45885 A \,b^{2} c \,x^{2}+15295 B \,b^{3} x^{2}+24035 A \,b^{3}\right) x^{\frac{7}{2}}}{168245}"," ",0,"2/168245*x^(7/2)*(7315*B*c^3*x^8+8855*A*c^3*x^6+26565*B*b*c^2*x^6+33649*A*b*c^2*x^4+33649*B*b^2*c*x^4+45885*A*b^2*c*x^2+15295*B*b^3*x^2+24035*A*b^3)","A"
183,1,336,199,0.079000," ","int(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{2 B \,x^{\frac{11}{2}}}{11 c}+\frac{2 A \,x^{\frac{7}{2}}}{7 c}-\frac{2 B b \,x^{\frac{7}{2}}}{7 c^{2}}-\frac{2 A b \,x^{\frac{3}{2}}}{3 c^{2}}+\frac{2 B \,b^{2} x^{\frac{3}{2}}}{3 c^{3}}+\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{\sqrt{2}\, A \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{\sqrt{2}\, A \,b^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}-\frac{\sqrt{2}\, B \,b^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}-\frac{\sqrt{2}\, B \,b^{3} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}"," ",0,"2/11*B*x^(11/2)/c+2/7/c*x^(7/2)*A-2/7/c^2*x^(7/2)*b*B-2/3/c^2*x^(3/2)*A*b+2/3/c^3*x^(3/2)*B*b^2+1/4*b^2/c^3/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*x^(1/2)*2^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*x^(1/2)*2^(1/2)+(b/c)^(1/2)))+1/2*b^2/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2*b^2/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*b^3/c^4/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*x^(1/2)*2^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*x^(1/2)*2^(1/2)+(b/c)^(1/2)))-1/2*b^3/c^4/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-1/2*b^3/c^4/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
184,1,330,199,0.052000," ","int(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{2 B \,x^{\frac{9}{2}}}{9 c}+\frac{2 A \,x^{\frac{5}{2}}}{5 c}-\frac{2 B b \,x^{\frac{5}{2}}}{5 c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 c^{2}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c^{3}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c^{3}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 c^{3}}-\frac{2 A b \sqrt{x}}{c^{2}}+\frac{2 B \,b^{2} \sqrt{x}}{c^{3}}"," ",0,"2/9*B*x^(9/2)/c+2/5/c*A*x^(5/2)-2/5/c^2*B*x^(5/2)*b-2/c^2*A*b*x^(1/2)+2/c^3*B*b^2*x^(1/2)+1/2*b/c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*b/c^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2*b/c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-1/2*b^2/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*b^2/c^3*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2*b^2/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
185,1,308,182,0.050000," ","int(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{2 B \,x^{\frac{7}{2}}}{7 c}+\frac{2 A \,x^{\frac{3}{2}}}{3 c}-\frac{2 B b \,x^{\frac{3}{2}}}{3 c^{2}}-\frac{\sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, A b \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{\sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{\sqrt{2}\, B \,b^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}"," ",0,"2/7*B*x^(7/2)/c+2/3/c*x^(3/2)*A-2/3/c^2*x^(3/2)*b*B-1/2*b/c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*b/c^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2*b/c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2*b^2/c^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*b^2/c^3/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2*b^2/c^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
186,1,299,182,0.062000," ","int(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{2 B \,x^{\frac{5}{2}}}{5 c}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 c}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 c^{2}}+\frac{2 A \sqrt{x}}{c}-\frac{2 B b \sqrt{x}}{c^{2}}"," ",0,"2/5*B*x^(5/2)/c+2/c*A*x^(1/2)-2/c^2*b*B*x^(1/2)-1/2/c*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-1/2/c*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4/c*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2/c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*b+1/2/c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*b+1/4/c^2*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*b","A"
187,1,280,166,0.053000," ","int(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{2 B \,x^{\frac{3}{2}}}{3 c}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}-\frac{\sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{\sqrt{2}\, B b \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}"," ",0,"2/3*B*x^(3/2)/c+1/2/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4/c/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*b-1/2/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*b-1/4/c^2/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*b","A"
188,1,277,166,0.056000," ","int(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2),x)","\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 c}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 c}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 c}+\frac{2 B \sqrt{x}}{c}"," ",0,"2*B*x^(1/2)/c+1/2*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*(b/c)^(1/4)/b*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-1/2/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4/c*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))","A"
189,1,277,166,0.062000," ","int((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2),x)","-\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}-\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}-\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}+\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} c}-\frac{2 A}{b \sqrt{x}}"," ",0,"-1/2/b/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4/b/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2/b/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4/c/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2*A/b/x^(1/2)","A"
190,1,280,166,0.060000," ","int((B*x^2+A)/(c*x^4+b*x^2)/x^(1/2),x)","-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b^{2}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b^{2}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b}-\frac{2 A}{3 b \,x^{\frac{3}{2}}}"," ",0,"-2/3*A/b/x^(3/2)-1/4/b^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*c-1/2/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*c-1/2/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*c+1/4/b*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2/b*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2/b*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
191,1,299,182,0.061000," ","int((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2),x)","\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{\sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{\sqrt{2}\, A c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}-\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}-\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} b}+\frac{2 A c}{b^{2} \sqrt{x}}-\frac{2 B}{b \sqrt{x}}-\frac{2 A}{5 b \,x^{\frac{5}{2}}}"," ",0,"1/2/b^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*c+1/4/b^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*c+1/2/b^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*c-1/2/b/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4/b/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2/b/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/5*A/b/x^(5/2)+2/b^2/x^(1/2)*A*c-2/b/x^(1/2)*B","A"
192,1,308,182,0.060000," ","int((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2),x)","\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b^{3}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b^{3}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b^{3}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b^{2}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b^{2}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b^{2}}+\frac{2 A c}{3 b^{2} x^{\frac{3}{2}}}-\frac{2 B}{3 b \,x^{\frac{3}{2}}}-\frac{2 A}{7 b \,x^{\frac{7}{2}}}"," ",0,"1/2*c^2/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*c^2/b^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2*c^2/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-1/2*c/b^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*c/b^2*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2*c/b^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/7*A/b/x^(7/2)+2/3/b^2/x^(3/2)*A*c-2/3/b/x^(3/2)*B","A"
193,1,330,199,0.059000," ","int((B*x^2+A)/x^(7/2)/(c*x^4+b*x^2),x)","-\frac{\sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{\sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{\sqrt{2}\, A \,c^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{\sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{\sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{\sqrt{2}\, B c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{2 A \,c^{2}}{b^{3} \sqrt{x}}+\frac{2 B c}{b^{2} \sqrt{x}}+\frac{2 A c}{5 b^{2} x^{\frac{5}{2}}}-\frac{2 B}{5 b \,x^{\frac{5}{2}}}-\frac{2 A}{9 b \,x^{\frac{9}{2}}}"," ",0,"-1/2*c^2/b^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*c^2/b^3/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2*c^2/b^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2*c/b^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*c/b^2/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2*c/b^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/9*A/b/x^(9/2)+2/5/b^2/x^(5/2)*A*c-2/5/b/x^(5/2)*B-2/b^3*c^2/x^(1/2)*A+2/b^2*c/x^(1/2)*B","A"
194,1,336,199,0.059000," ","int((B*x^2+A)/x^(9/2)/(c*x^4+b*x^2),x)","-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b^{4}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b^{4}}-\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b^{4}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{2 b^{3}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{2 b^{3}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{4 b^{3}}-\frac{2 A \,c^{2}}{3 b^{3} x^{\frac{3}{2}}}+\frac{2 B c}{3 b^{2} x^{\frac{3}{2}}}+\frac{2 A c}{7 b^{2} x^{\frac{7}{2}}}-\frac{2 B}{7 b \,x^{\frac{7}{2}}}-\frac{2 A}{11 b \,x^{\frac{11}{2}}}"," ",0,"-1/2*c^3/b^4*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-1/4*c^3/b^4*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-1/2*c^3/b^4*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/2*c^2/b^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/4*c^2/b^3*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/2*c^2/b^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/11*A/b/x^(11/2)+2/7/b^2/x^(7/2)*A*c-2/7/b/x^(7/2)*B-2/3/b^3*c^2/x^(3/2)*A+2/3/b^2*c/x^(3/2)*B","A"
195,1,372,244,0.065000," ","int(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{2 B \,x^{\frac{9}{2}}}{9 c^{2}}+\frac{2 A \,x^{\frac{5}{2}}}{5 c^{2}}-\frac{4 B b \,x^{\frac{5}{2}}}{5 c^{3}}-\frac{A \,b^{2} \sqrt{x}}{2 \left(c \,x^{2}+b \right) c^{3}}+\frac{B \,b^{3} \sqrt{x}}{2 \left(c \,x^{2}+b \right) c^{4}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{3}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{3}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A b \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 c^{3}}-\frac{13 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{4}}-\frac{13 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{4}}-\frac{13 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,b^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 c^{4}}-\frac{4 A b \sqrt{x}}{c^{3}}+\frac{6 B \,b^{2} \sqrt{x}}{c^{4}}"," ",0,"2/9/c^2*B*x^(9/2)+2/5/c^2*A*x^(5/2)-4/5/c^3*B*x^(5/2)*b-4/c^3*A*b*x^(1/2)+6/c^4*B*b^2*x^(1/2)-1/2*b^2/c^3*x^(1/2)/(c*x^2+b)*A+1/2*b^3/c^4*x^(1/2)/(c*x^2+b)*B+9/8*b/c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+9/8*b/c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+9/16*b/c^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-13/8*b^2/c^4*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-13/8*b^2/c^4*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-13/16*b^2/c^4*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))","A"
196,1,348,226,0.063000," ","int(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{2 B \,x^{\frac{7}{2}}}{7 c^{2}}+\frac{A b \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) c^{2}}-\frac{B \,b^{2} x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) c^{3}}+\frac{2 A \,x^{\frac{3}{2}}}{3 c^{2}}-\frac{4 B b \,x^{\frac{3}{2}}}{3 c^{3}}-\frac{7 \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{7 \sqrt{2}\, A b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{7 \sqrt{2}\, A b \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{11 \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}+\frac{11 \sqrt{2}\, B \,b^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}+\frac{11 \sqrt{2}\, B \,b^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}"," ",0,"2/7/c^2*B*x^(7/2)+2/3/c^2*x^(3/2)*A-4/3/c^3*x^(3/2)*b*B+1/2*b/c^2*x^(3/2)/(c*x^2+b)*A-1/2*b^2/c^3*x^(3/2)/(c*x^2+b)*B-7/16*b/c^3/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-7/8*b/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-7/8*b/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+11/16*b^2/c^4/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+11/8*b^2/c^4/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+11/8*b^2/c^4/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
197,1,339,226,0.068000," ","int(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{2 B \,x^{\frac{5}{2}}}{5 c^{2}}+\frac{A b \sqrt{x}}{2 \left(c \,x^{2}+b \right) c^{2}}-\frac{B \,b^{2} \sqrt{x}}{2 \left(c \,x^{2}+b \right) c^{3}}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{2}}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{2}}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 c^{2}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{3}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{3}}+\frac{9 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 c^{3}}+\frac{2 A \sqrt{x}}{c^{2}}-\frac{4 B b \sqrt{x}}{c^{3}}"," ",0,"2/5/c^2*B*x^(5/2)+2/c^2*A*x^(1/2)-4/c^3*b*B*x^(1/2)+1/2*b/c^2*x^(1/2)/(c*x^2+b)*A-1/2*b^2/c^3*x^(1/2)/(c*x^2+b)*B-5/8/c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-5/16/c^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-5/8/c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+9/8*b/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+9/16*b/c^3*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+9/8*b/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
198,1,317,209,0.065000," ","int(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) c}+\frac{B b \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) c^{2}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}-\frac{7 \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{7 \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{7 \sqrt{2}\, B b \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}"," ",0,"2/3*B*x^(3/2)/c^2-1/2/c*x^(3/2)/(c*x^2+b)*A+1/2/c^2*x^(3/2)/(c*x^2+b)*b*B-7/16/c^3/(b/c)^(1/4)*2^(1/2)*b*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-7/8/c^3/(b/c)^(1/4)*2^(1/2)*b*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-7/8/c^3/(b/c)^(1/4)*2^(1/2)*b*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/16/c^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/8/c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/8/c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
199,1,323,209,0.064000," ","int(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A \sqrt{x}}{2 \left(c \,x^{2}+b \right) c}+\frac{B b \sqrt{x}}{2 \left(c \,x^{2}+b \right) c^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b c}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b c}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b c}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 c^{2}}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 c^{2}}-\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 c^{2}}+\frac{2 B \sqrt{x}}{c^{2}}"," ",0,"2*B/c^2*x^(1/2)-1/2/c*x^(1/2)/(c*x^2+b)*A+1/2/c^2*x^(1/2)/(c*x^2+b)*b*B+1/8/c*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/16/c*(b/c)^(1/4)/b*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/8/c*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-5/8/c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-5/16/c^2*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-5/8/c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
200,1,305,185,0.062000," ","int(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}+\frac{\sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}+\frac{\sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{3 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{2}}+\frac{\left(A c -b B \right) x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b c}"," ",0,"1/2*(A*c-B*b)/b/c*x^(3/2)/(c*x^2+b)+1/8/b/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/16/b/c/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/8/b/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/8/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/16/c^2/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/8/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
201,1,305,185,0.056000," ","int(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b^{2}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b^{2}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b^{2}}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b c}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b c}+\frac{\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b c}+\frac{\left(A c -b B \right) \sqrt{x}}{2 \left(c \,x^{2}+b \right) b c}"," ",0,"1/2*(A*c-B*b)/b/c*x^(1/2)/(c*x^2+b)+3/16/b^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/8/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/8/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/16/b/c*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/8/b/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/8/b/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
202,1,323,204,0.060000," ","int(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A c \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{B \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b}-\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{5 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}+\frac{\sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}+\frac{\sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b c}-\frac{2 A}{b^{2} \sqrt{x}}"," ",0,"-1/2/b^2*x^(3/2)/(c*x^2+b)*A*c+1/2/b*x^(3/2)/(c*x^2+b)*B-5/16/b^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-5/8/b^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-5/8/b^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+1/16/b/c/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+1/8/b/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+1/8/b/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2*A/b^2/x^(1/2)","A"
203,1,317,209,0.058000," ","int(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","-\frac{A c \sqrt{x}}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{B \sqrt{x}}{2 \left(c \,x^{2}+b \right) b}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b^{3}}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b^{3}}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b^{3}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b^{2}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b^{2}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b^{2}}-\frac{2 A}{3 b^{2} x^{\frac{3}{2}}}"," ",0,"-1/2/b^2*x^(1/2)/(c*x^2+b)*A*c+1/2/b*x^(1/2)/(c*x^2+b)*B-7/16/b^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*c-7/8/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*c-7/8/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*c+3/16/b^2*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/8/b^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/8/b^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2/3*A/b^2/x^(3/2)","A"
204,1,339,226,0.063000," ","int((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^2,x)","\frac{A \,c^{2} x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b^{3}}-\frac{B c \,x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{9 \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{9 \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{9 \sqrt{2}\, A c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}-\frac{5 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2}}+\frac{4 A c}{b^{3} \sqrt{x}}-\frac{2 B}{b^{2} \sqrt{x}}-\frac{2 A}{5 b^{2} x^{\frac{5}{2}}}"," ",0,"1/2/b^3*c^2*x^(3/2)/(c*x^2+b)*A-1/2/b^2*c*x^(3/2)/(c*x^2+b)*B+9/16/b^3*c/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+9/8/b^3*c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+9/8/b^3*c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-5/16/b^2/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-5/8/b^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-5/8/b^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2/5/b^2*A/x^(5/2)+4/b^3/x^(1/2)*A*c-2/b^2/x^(1/2)*B","A"
205,1,348,226,0.065000," ","int((B*x^2+A)/(c*x^4+b*x^2)^2/x^(1/2),x)","\frac{A \,c^{2} \sqrt{x}}{2 \left(c \,x^{2}+b \right) b^{3}}-\frac{B c \sqrt{x}}{2 \left(c \,x^{2}+b \right) b^{2}}+\frac{11 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b^{4}}+\frac{11 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b^{4}}+\frac{11 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b^{4}}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 b^{3}}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 b^{3}}-\frac{7 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 b^{3}}+\frac{4 A c}{3 b^{3} x^{\frac{3}{2}}}-\frac{2 B}{3 b^{2} x^{\frac{3}{2}}}-\frac{2 A}{7 b^{2} x^{\frac{7}{2}}}"," ",0,"1/2/b^3*c^2*x^(1/2)/(c*x^2+b)*A-1/2/b^2*c*x^(1/2)/(c*x^2+b)*B+11/8/b^4*c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+11/8/b^4*c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+11/16/b^4*c^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-7/8/b^3*c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-7/8/b^3*c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-7/16/b^3*c*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-2/7*A/b^2/x^(7/2)+4/3/b^3/x^(3/2)*A*c-2/3/b^2/x^(3/2)*B","A"
206,1,372,244,0.070000," ","int((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^2,x)","-\frac{A \,c^{3} x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b^{4}}+\frac{B \,c^{2} x^{\frac{3}{2}}}{2 \left(c \,x^{2}+b \right) b^{3}}-\frac{13 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}-\frac{13 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}-\frac{13 \sqrt{2}\, A \,c^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}+\frac{9 \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{9 \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{8 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{9 \sqrt{2}\, B c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{16 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{6 A \,c^{2}}{b^{4} \sqrt{x}}+\frac{4 B c}{b^{3} \sqrt{x}}+\frac{4 A c}{5 b^{3} x^{\frac{5}{2}}}-\frac{2 B}{5 b^{2} x^{\frac{5}{2}}}-\frac{2 A}{9 b^{2} x^{\frac{9}{2}}}"," ",0,"-1/2/b^4*c^3*x^(3/2)/(c*x^2+b)*A+1/2/b^3*c^2*x^(3/2)/(c*x^2+b)*B-13/16/b^4*c^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-13/8/b^4*c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-13/8/b^4*c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+9/16/b^3*c/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+9/8/b^3*c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+9/8/b^3*c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2/9*A/b^2/x^(9/2)+4/5/b^3/x^(5/2)*A*c-2/5/b^2/x^(5/2)*B-6*c^2/b^4/x^(1/2)*A+4*c/b^3/x^(1/2)*B","A"
207,1,381,255,0.076000," ","int(x^(23/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{17 A b \,x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{25 B \,b^{2} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{13 A \,b^{2} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} c^{3}}-\frac{21 B \,b^{3} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} c^{4}}+\frac{2 B \,x^{\frac{5}{2}}}{5 c^{3}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 c^{3}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 c^{3}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 c^{3}}+\frac{117 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 c^{4}}+\frac{117 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 c^{4}}+\frac{117 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B b \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 c^{4}}+\frac{2 A \sqrt{x}}{c^{3}}-\frac{6 B b \sqrt{x}}{c^{4}}"," ",0,"2/5/c^3*B*x^(5/2)+2/c^3*A*x^(1/2)-6/c^4*b*B*x^(1/2)+17/16*b/c^2/(c*x^2+b)^2*x^(5/2)*A-25/16*b^2/c^3/(c*x^2+b)^2*x^(5/2)*B+13/16*b^2/c^3/(c*x^2+b)^2*A*x^(1/2)-21/16*b^3/c^4/(c*x^2+b)^2*B*x^(1/2)-45/64/c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-45/64/c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-45/128/c^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+117/64*b/c^4*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+117/64*b/c^4*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+117/128*b/c^4*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))","A"
208,1,357,238,0.067000," ","int(x^(21/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{11 A \,x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c}+\frac{19 B b \,x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{7 A b \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{2}}+\frac{15 B \,b^{2} x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{2 B \,x^{\frac{3}{2}}}{3 c^{3}}+\frac{21 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}-\frac{77 \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}-\frac{77 \sqrt{2}\, B b \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}-\frac{77 \sqrt{2}\, B b \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{4}}"," ",0,"2/3*B*x^(3/2)/c^3-11/16/c/(c*x^2+b)^2*A*x^(7/2)+19/16/c^2/(c*x^2+b)^2*B*x^(7/2)*b-7/16/c^2/(c*x^2+b)^2*x^(3/2)*A*b+15/16/c^3/(c*x^2+b)^2*x^(3/2)*B*b^2+21/128/c^3/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+21/64/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+21/64/c^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-77/128/c^4/(b/c)^(1/4)*2^(1/2)*b*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-77/64/c^4/(b/c)^(1/4)*2^(1/2)*b*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-77/64/c^4/(b/c)^(1/4)*2^(1/2)*b*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)","A"
209,1,363,238,0.072000," ","int(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{9 A \,x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c}+\frac{17 B b \,x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} c^{2}}-\frac{5 A b \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} c^{2}}+\frac{13 B \,b^{2} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} c^{3}}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b \,c^{2}}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b \,c^{2}}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b \,c^{2}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 c^{3}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 c^{3}}-\frac{45 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 c^{3}}+\frac{2 B \sqrt{x}}{c^{3}}"," ",0,"2*B/c^3*x^(1/2)-9/16/c/(c*x^2+b)^2*x^(5/2)*A+17/16/c^2/(c*x^2+b)^2*x^(5/2)*b*B-5/16/c^2/(c*x^2+b)^2*A*x^(1/2)*b+13/16/c^3/(c*x^2+b)^2*B*x^(1/2)*b^2+5/64/c^2*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+5/128/c^2*(b/c)^(1/4)/b*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+5/64/c^2*(b/c)^(1/4)/b*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-45/64/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-45/128/c^3*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-45/64/c^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
210,1,325,213,0.065000," ","int(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{3 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{3 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{21 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{21 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} c^{3}}+\frac{\frac{\left(3 A c -11 b B \right) x^{\frac{7}{2}}}{16 b c}-\frac{\left(A c +7 b B \right) x^{\frac{3}{2}}}{16 c^{2}}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"2*(1/32*(3*A*c-11*B*b)/b/c*x^(7/2)-1/32*(A*c+7*B*b)/c^2*x^(3/2))/(c*x^2+b)^2+3/64/c^2/b/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/64/c^2/b/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/128/c^2/b/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+21/64/c^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+21/64/c^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+21/128/c^3/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))","A"
211,1,334,218,0.065000," ","int(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{2} c}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{2} c}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{2} c}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b \,c^{2}}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b \,c^{2}}+\frac{5 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b \,c^{2}}+\frac{\frac{\left(A c -9 b B \right) x^{\frac{5}{2}}}{16 b c}-\frac{\left(3 A c +5 b B \right) \sqrt{x}}{16 c^{2}}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"2*(1/32*(A*c-9*B*b)/b/c*x^(5/2)-1/32*(3*A*c+5*B*b)/c^2*x^(1/2))/(c*x^2+b)^2+3/64/c/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/64/c/b^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/128/c/b^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+5/64/c^2/b*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+5/64/c^2/b*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+5/128/c^2/b*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))","A"
212,1,335,218,0.070000," ","int(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}+\frac{5 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}+\frac{5 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{3 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{3 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b \,c^{2}}+\frac{\frac{\left(5 A c +3 b B \right) x^{\frac{7}{2}}}{16 b^{2}}+\frac{\left(9 A c -b B \right) x^{\frac{3}{2}}}{16 b c}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"2*(1/32*(5*A*c+3*B*b)/b^2*x^(7/2)+1/32*(9*A*c-B*b)/b/c*x^(3/2))/(c*x^2+b)^2+5/128/b^2/c/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+5/64/b^2/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+5/64/b^2/c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/128/b/c^2/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/64/b/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/64/b/c^2/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
213,1,325,213,0.064000," ","int(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{3}}+\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{3}}+\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{3}}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{2} c}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{2} c}+\frac{3 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{2} c}+\frac{\frac{\left(7 A c +b B \right) x^{\frac{5}{2}}}{16 b^{2}}+\frac{\left(11 A c -3 b B \right) \sqrt{x}}{16 b c}}{\left(c \,x^{2}+b \right)^{2}}"," ",0,"2*(1/32*(7*A*c+B*b)/b^2*x^(5/2)+1/32*(11*A*c-3*B*b)/b/c*x^(1/2))/(c*x^2+b)^2+21/64/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+21/128/b^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+21/64/b^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+3/64/b^2/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+3/128/b^2/c*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+3/64/b^2/c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)","A"
214,1,363,233,0.069000," ","int(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{13 A \,c^{2} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{5 B c \,x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}-\frac{17 A c \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{9 B \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b}-\frac{45 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{45 \sqrt{2}\, A \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{45 \sqrt{2}\, A \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}+\frac{5 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}+\frac{5 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{2} c}-\frac{2 A}{b^{3} \sqrt{x}}"," ",0,"-13/16/b^3/(c*x^2+b)^2*x^(7/2)*A*c^2+5/16/b^2/(c*x^2+b)^2*x^(7/2)*B*c-17/16/b^2/(c*x^2+b)^2*A*x^(3/2)*c+9/16/b/(c*x^2+b)^2*B*x^(3/2)-45/128/b^3/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-45/64/b^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-45/64/b^3/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+5/128/b^2/c/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+5/64/b^2/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+5/64/b^2/c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2*A/b^3/x^(1/2)","A"
215,1,357,238,0.068000," ","int(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","-\frac{15 A \,c^{2} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{7 B c \,x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}-\frac{19 A c \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{11 B \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{4}}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{4}}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{4}}+\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{3}}+\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{3}}+\frac{21 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{3}}-\frac{2 A}{3 b^{3} x^{\frac{3}{2}}}"," ",0,"-15/16/b^3/(c*x^2+b)^2*x^(5/2)*A*c^2+7/16/b^2/(c*x^2+b)^2*x^(5/2)*B*c-19/16/b^2/(c*x^2+b)^2*A*x^(1/2)*c+11/16/b/(c*x^2+b)^2*B*x^(1/2)-77/64/b^4*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)*c-77/128/b^4*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))*c-77/64/b^4*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)*c+21/64/b^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+21/128/b^3*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+21/64/b^3*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/3*A/b^3/x^(3/2)","A"
216,1,381,255,0.070000," ","int(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{21 A \,c^{3} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{13 B \,c^{2} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{25 A \,c^{2} x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{17 B c \,x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{117 \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}+\frac{117 \sqrt{2}\, A c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}+\frac{117 \sqrt{2}\, A c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}-\frac{45 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{45 \sqrt{2}\, B \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}-\frac{45 \sqrt{2}\, B \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{3}}+\frac{6 A c}{b^{4} \sqrt{x}}-\frac{2 B}{b^{3} \sqrt{x}}-\frac{2 A}{5 b^{3} x^{\frac{5}{2}}}"," ",0,"21/16/b^4*c^3/(c*x^2+b)^2*x^(7/2)*A-13/16/b^3*c^2/(c*x^2+b)^2*x^(7/2)*B+25/16/b^3*c^2/(c*x^2+b)^2*A*x^(3/2)-17/16/b^2*c/(c*x^2+b)^2*B*x^(3/2)+117/128/b^4*c/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+117/64/b^4*c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+117/64/b^4*c/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-45/128/b^3/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-45/64/b^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-45/64/b^3/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2/5*A/b^3/x^(5/2)+6/b^4/x^(1/2)*A*c-2/b^3/x^(1/2)*B","A"
217,1,390,255,0.068000," ","int(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x)","\frac{23 A \,c^{3} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{15 B \,c^{2} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}+\frac{27 A \,c^{2} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{19 B c \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b^{2}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{5}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{5}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{5}}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{4}}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{4}}-\frac{77 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B c \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{4}}+\frac{2 A c}{b^{4} x^{\frac{3}{2}}}-\frac{2 B}{3 b^{3} x^{\frac{3}{2}}}-\frac{2 A}{7 b^{3} x^{\frac{7}{2}}}"," ",0,"23/16/b^4*c^3/(c*x^2+b)^2*x^(5/2)*A-15/16/b^3*c^2/(c*x^2+b)^2*x^(5/2)*B+27/16/b^3*c^2/(c*x^2+b)^2*A*x^(1/2)-19/16/b^2*c/(c*x^2+b)^2*B*x^(1/2)+165/64/b^5*c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+165/128/b^5*c^2*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+165/64/b^5*c^2*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-77/64/b^4*c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-77/128/b^4*c*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-77/64/b^4*c*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/7*A/b^3/x^(7/2)+2/b^4/x^(3/2)*A*c-2/3/b^3/x^(3/2)*B","A"
218,1,414,273,0.074000," ","int((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^3,x)","-\frac{29 A \,c^{4} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{5}}+\frac{21 B \,c^{3} x^{\frac{7}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{33 A \,c^{3} x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}+\frac{25 B \,c^{2} x^{\frac{3}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{221 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{5}}-\frac{221 \sqrt{2}\, A \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{5}}-\frac{221 \sqrt{2}\, A \,c^{2} \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{5}}+\frac{117 \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}+\frac{117 \sqrt{2}\, B c \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}+\frac{117 \sqrt{2}\, B c \ln \left(\frac{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 \left(\frac{b}{c}\right)^{\frac{1}{4}} b^{4}}-\frac{12 A \,c^{2}}{b^{5} \sqrt{x}}+\frac{6 B c}{b^{4} \sqrt{x}}+\frac{6 A c}{5 b^{4} x^{\frac{5}{2}}}-\frac{2 B}{5 b^{3} x^{\frac{5}{2}}}-\frac{2 A}{9 b^{3} x^{\frac{9}{2}}}"," ",0,"-29/16/b^5*c^4/(c*x^2+b)^2*A*x^(7/2)+21/16/b^4*c^3/(c*x^2+b)^2*B*x^(7/2)-33/16/b^4*c^3/(c*x^2+b)^2*x^(3/2)*A+25/16/b^3*c^2/(c*x^2+b)^2*x^(3/2)*B-221/128/b^5*c^2/(b/c)^(1/4)*2^(1/2)*A*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-221/64/b^5*c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-221/64/b^5*c^2/(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+117/128/b^4*c/(b/c)^(1/4)*2^(1/2)*B*ln((x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+117/64/b^4*c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+117/64/b^4*c/(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-2/9*A/b^3/x^(9/2)+6/5/b^4/x^(5/2)*A*c-2/5/b^3/x^(5/2)*B-12*c^2/b^5/x^(1/2)*A+6*c/b^4/x^(1/2)*B","A"
219,1,420,273,0.072000," ","int((B*x^2+A)/(c*x^4+b*x^2)^3/x^(1/2),x)","-\frac{31 A \,c^{4} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{5}}+\frac{23 B \,c^{3} x^{\frac{5}{2}}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}-\frac{35 A \,c^{3} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b^{4}}+\frac{27 B \,c^{2} \sqrt{x}}{16 \left(c \,x^{2}+b \right)^{2} b^{3}}-\frac{285 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{6}}-\frac{285 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{6}}-\frac{285 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, A \,c^{3} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{6}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}-1\right)}{64 b^{5}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \arctan \left(\frac{\sqrt{2}\, \sqrt{x}}{\left(\frac{b}{c}\right)^{\frac{1}{4}}}+1\right)}{64 b^{5}}+\frac{165 \left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, B \,c^{2} \ln \left(\frac{x +\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}{x -\left(\frac{b}{c}\right)^{\frac{1}{4}} \sqrt{2}\, \sqrt{x}+\sqrt{\frac{b}{c}}}\right)}{128 b^{5}}-\frac{4 A \,c^{2}}{b^{5} x^{\frac{3}{2}}}+\frac{2 B c}{b^{4} x^{\frac{3}{2}}}+\frac{6 A c}{7 b^{4} x^{\frac{7}{2}}}-\frac{2 B}{7 b^{3} x^{\frac{7}{2}}}-\frac{2 A}{11 b^{3} x^{\frac{11}{2}}}"," ",0,"-31/16/b^5*c^4/(c*x^2+b)^2*x^(5/2)*A+23/16/b^4*c^3/(c*x^2+b)^2*x^(5/2)*B-35/16/b^4*c^3/(c*x^2+b)^2*A*x^(1/2)+27/16/b^3*c^2/(c*x^2+b)^2*B*x^(1/2)-285/64/b^6*c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)-285/128/b^6*c^3*(b/c)^(1/4)*2^(1/2)*A*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))-285/64/b^6*c^3*(b/c)^(1/4)*2^(1/2)*A*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)+165/64/b^5*c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)-1)+165/128/b^5*c^2*(b/c)^(1/4)*2^(1/2)*B*ln((x+(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2))/(x-(b/c)^(1/4)*2^(1/2)*x^(1/2)+(b/c)^(1/2)))+165/64/b^5*c^2*(b/c)^(1/4)*2^(1/2)*B*arctan(2^(1/2)/(b/c)^(1/4)*x^(1/2)+1)-2/11*A/b^3/x^(11/2)+6/7/b^4/x^(7/2)*A*c-2/7/b^3/x^(7/2)*B-4*c^2/b^5/x^(3/2)*A+2*c/b^4/x^(3/2)*B","A"
220,1,307,232,0.201000," ","int(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(77 B \,c^{5} x^{9}+105 A \,c^{5} x^{7}+91 B b \,c^{4} x^{7}+135 A b \,c^{4} x^{5}-4 B \,b^{2} c^{3} x^{5}-20 A \,b^{2} c^{3} x^{3}+12 B \,b^{3} c^{2} x^{3}-50 A \,b^{3} c^{2} x +30 B \,b^{4} c x +25 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-15 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{1155 \left(c \,x^{2}+b \right) c^{4} x^{\frac{3}{2}}}"," ",0,"2/1155*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)*(77*B*x^9*c^5+105*A*x^7*c^5+91*B*x^7*b*c^4+25*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-x*c/(-b*c)^(1/2))^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3*c+135*A*x^5*b*c^4-15*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-x*c/(-b*c)^(1/2))^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^4-4*B*x^5*b^2*c^3-20*A*x^3*b^2*c^3+12*B*x^3*b^3*c^2-50*A*x*b^3*c^2+30*B*x*b^4*c)/c^4","A"
221,1,446,365,0.096000," ","int(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x)","-\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(-45 B \,c^{4} x^{8}-65 A \,c^{4} x^{6}-55 B b \,c^{3} x^{6}-91 A b \,c^{3} x^{4}+4 B \,b^{2} c^{2} x^{4}-26 A \,b^{2} c^{2} x^{2}+14 B \,b^{3} c \,x^{2}+78 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-39 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{585 \left(c \,x^{2}+b \right) c^{3} x^{\frac{3}{2}}}"," ",0,"-2/585*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)/c^3*(-45*B*x^8*c^4-65*A*x^6*c^4-55*B*x^6*b*c^3+78*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-39*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-42*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))+21*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-91*A*x^4*b*c^3+4*B*b^2*c^2*x^4-26*A*x^2*b^2*c^2+14*B*x^2*b^3*c)","A"
222,1,283,199,0.097000," ","int((B*x^2+A)*x^(1/2)*(c*x^4+b*x^2)^(1/2),x)","-\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(-21 B \,c^{4} x^{7}-33 A \,c^{4} x^{5}-27 B b \,c^{3} x^{5}-55 A b \,c^{3} x^{3}+4 B \,b^{2} c^{2} x^{3}-22 A \,b^{2} c^{2} x +10 B \,b^{3} c x +11 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{231 \left(c \,x^{2}+b \right) c^{3} x^{\frac{3}{2}}}"," ",0,"-2/231*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)*(-21*B*x^7*c^4+11*A*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^2*c-33*A*x^5*c^4-5*B*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^3-27*B*x^5*b*c^3-55*A*x^3*b*c^3+4*B*x^3*b^2*c^2-22*A*x*b^2*c^2+10*B*x*b^3*c)/c^3","A"
223,1,422,328,0.088000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(1/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(5 B \,c^{3} x^{6}+9 A \,c^{3} x^{4}+7 B b \,c^{2} x^{4}+9 A b \,c^{2} x^{2}+2 B \,b^{2} c \,x^{2}+18 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-9 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{45 \left(c \,x^{2}+b \right) c^{2} x^{\frac{3}{2}}}"," ",0,"2/45*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)/c^2*(5*B*c^3*x^6+18*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-9*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3+3*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3+9*A*x^4*c^3+7*B*b*c^2*x^4+9*A*x^2*b*c^2+2*B*x^2*b^2*c)","A"
224,1,257,166,0.092000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(3/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(3 B \,c^{3} x^{5}+7 A \,c^{3} x^{3}+5 B b \,c^{2} x^{3}+7 A b \,c^{2} x +2 B \,b^{2} c x +7 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{21 \left(c \,x^{2}+b \right) c^{2} x^{\frac{3}{2}}}"," ",0,"2/21*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)*(7*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b*c-B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b^2+3*B*c^3*x^5+7*A*x^3*c^3+5*B*x^3*b*c^2+7*A*x*b*c^2+2*B*x*b^2*c)/c^2","A"
225,1,399,327,0.109000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(5/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(B \,c^{2} x^{4}-5 A \,c^{2} x^{2}+B b c \,x^{2}+10 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 A b c \right)}{5 \left(c \,x^{2}+b \right) c \,x^{\frac{3}{2}}}"," ",0,"2/5*(c*x^4+b*x^2)^(1/2)/x^(3/2)/(c*x^2+b)*(10*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-5*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c+2*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2-B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+B*c^2*x^4-5*A*x^2*c^2+B*x^2*b*c-5*A*b*c)/c","A"
226,1,239,164,0.085000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(7/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(B \,c^{2} x^{4}-A \,c^{2} x^{2}+B b c \,x^{2}+\sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-A b c \right)}{3 \left(c \,x^{2}+b \right) c \,x^{\frac{5}{2}}}"," ",0,"2/3*(c*x^4+b*x^2)^(1/2)/x^(5/2)/(c*x^2+b)*(A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*c+B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*b+B*c^2*x^4-A*c^2*x^2+B*b*c*x^2-A*b*c)/c","A"
227,1,422,330,0.104000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(9/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(-2 A \,c^{2} x^{4}-5 B b c \,x^{4}+2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+10 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 A b c \,x^{2}-5 B \,b^{2} x^{2}-A \,b^{2}\right)}{5 \left(c \,x^{2}+b \right) b \,x^{\frac{7}{2}}}"," ",0,"2/5*(c*x^4+b*x^2)^(1/2)/x^(7/2)/(c*x^2+b)*(2*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c+10*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2-5*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2-2*A*c^2*x^4-5*B*b*c*x^4-3*A*b*c*x^2-5*B*b^2*x^2-b^2*A)/b","A"
228,1,255,168,0.092000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(11/2),x)","-\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(2 A \,c^{2} x^{4}+7 B b c \,x^{4}+\sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-7 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+5 A b c \,x^{2}+7 B \,b^{2} x^{2}+3 A \,b^{2}\right)}{21 \left(c \,x^{2}+b \right) b \,x^{\frac{9}{2}}}"," ",0,"-2/21*(c*x^4+b*x^2)^(1/2)/x^(9/2)/(c*x^2+b)*(A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c-7*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b+2*A*c^2*x^4+7*B*b*c*x^4+5*A*b*c*x^2+7*B*b^2*x^2+3*A*b^2)/b","A"
229,1,452,365,0.097000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(13/2),x)","-\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(-6 A \,c^{3} x^{6}+18 B b \,c^{2} x^{6}+6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-18 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+9 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-4 A b \,c^{2} x^{4}+27 B \,b^{2} c \,x^{4}+7 A \,b^{2} c \,x^{2}+9 B \,b^{3} x^{2}+5 A \,b^{3}\right)}{45 \left(c \,x^{2}+b \right) b^{2} x^{\frac{11}{2}}}"," ",0,"-2/45*(c*x^4+b*x^2)^(1/2)/x^(11/2)/(c*x^2+b)*(6*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-3*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-18*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c+9*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c-6*A*c^3*x^6+18*B*b*c^2*x^6-4*A*b*c^2*x^4+27*B*b^2*c*x^4+7*A*b^2*c*x^2+9*B*b^3*x^2+5*A*b^3)/b^2","A"
230,1,283,199,0.099000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(15/2),x)","\frac{2 \sqrt{c \,x^{4}+b \,x^{2}}\, \left(10 A \,c^{3} x^{6}-22 B b \,c^{2} x^{6}+5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A \,c^{2} x^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-11 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B b c \,x^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+4 A b \,c^{2} x^{4}-55 B \,b^{2} c \,x^{4}-27 A \,b^{2} c \,x^{2}-33 B \,b^{3} x^{2}-21 A \,b^{3}\right)}{231 \left(c \,x^{2}+b \right) b^{2} x^{\frac{13}{2}}}"," ",0,"2/231*(c*x^4+b*x^2)^(1/2)/x^(13/2)/(c*x^2+b)*(5*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x^5*c^2-11*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x^5*b*c+10*A*c^3*x^6-22*B*b*c^2*x^6+4*A*b*c^2*x^4-55*B*b^2*c*x^4-27*A*b^2*c*x^2-33*B*b^3*x^2-21*A*b^3)/b^2","A"
231,1,518,464,0.107000," ","int(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","-\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-13923 B \,c^{7} x^{14}-16575 A \,c^{7} x^{12}-31824 B b \,c^{6} x^{12}-39000 A b \,c^{6} x^{10}-18369 B \,b^{2} c^{5} x^{10}-23325 A \,b^{2} c^{5} x^{8}+72 B \,b^{3} c^{4} x^{8}+200 A \,b^{3} c^{4} x^{6}-120 B \,b^{4} c^{3} x^{6}-440 A \,b^{4} c^{3} x^{4}+264 B \,b^{5} c^{2} x^{4}-1540 A \,b^{5} c^{2} x^{2}+924 B \,b^{6} c \,x^{2}+4620 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{6} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-2310 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{6} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-2772 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{7} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+1386 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{7} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{348075 \left(c \,x^{2}+b \right)^{2} c^{5} x^{\frac{7}{2}}}"," ",0,"-2/348075*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2/c^5*(-13923*B*x^14*c^7-16575*A*x^12*c^7-31824*B*x^12*b*c^6-39000*A*x^10*b*c^6-18369*B*x^10*b^2*c^5-23325*A*x^8*b^2*c^5+72*B*x^8*b^3*c^4+200*A*x^6*b^3*c^4-120*B*x^6*b^4*c^3+4620*A*b^6*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-2310*A*b^6*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-2772*B*b^7*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))+1386*B*b^7*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-440*A*x^4*b^4*c^3+264*B*x^4*b^5*c^2-1540*A*x^2*b^5*c^2+924*B*x^2*b^6*c)","A"
232,1,355,298,0.102000," ","int(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","-\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-7315 B \,c^{7} x^{13}-8855 A \,c^{7} x^{11}-16940 B b \,c^{6} x^{11}-21252 A b \,c^{6} x^{9}-9933 B \,b^{2} c^{5} x^{9}-13041 A \,b^{2} c^{5} x^{7}+56 B \,b^{3} c^{4} x^{7}+184 A \,b^{3} c^{4} x^{5}-104 B \,b^{4} c^{3} x^{5}-552 A \,b^{4} c^{3} x^{3}+312 B \,b^{5} c^{2} x^{3}-1380 A \,b^{5} c^{2} x +780 B \,b^{6} c x +690 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{5} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-390 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{6} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{168245 \left(c \,x^{2}+b \right)^{2} c^{5} x^{\frac{7}{2}}}"," ",0,"-2/168245*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2*(-7315*B*x^13*c^7-8855*A*x^11*c^7-16940*B*x^11*b*c^6-21252*A*x^9*b*c^6-9933*B*x^9*b^2*c^5-13041*A*x^7*b^2*c^5+56*B*x^7*b^3*c^4+690*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^5*c+184*A*x^5*b^3*c^4-390*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^6-104*B*x^5*b^4*c^3-552*A*x^3*b^4*c^3+312*B*x^3*b^5*c^2-1380*A*x*b^5*c^2+780*B*x*b^6*c)/c^5","A"
233,1,494,431,0.079000," ","int(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(3315 B \,c^{6} x^{12}+4095 A \,c^{6} x^{10}+7800 B b \,c^{5} x^{10}+10080 A b \,c^{5} x^{8}+4665 B \,b^{2} c^{4} x^{8}+6405 A \,b^{2} c^{4} x^{6}-40 B \,b^{3} c^{3} x^{6}-168 A \,b^{3} c^{3} x^{4}+88 B \,b^{4} c^{2} x^{4}-588 A \,b^{4} c^{2} x^{2}+308 B \,b^{5} c \,x^{2}+1764 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{5} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-882 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{5} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-924 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{6} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+462 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{6} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{69615 \left(c \,x^{2}+b \right)^{2} c^{4} x^{\frac{7}{2}}}"," ",0,"2/69615*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2/c^4*(3315*B*x^12*c^6+4095*A*x^10*c^6+7800*B*x^10*b*c^5+10080*A*x^8*b*c^5+4665*B*x^8*b^2*c^4+6405*A*x^6*b^2*c^4-40*B*x^6*b^3*c^3+1764*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^5*c-882*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^5*c-924*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^6+462*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^6-168*A*x^4*b^3*c^3+88*B*x^4*b^4*c^2-588*A*x^2*b^4*c^2+308*B*x^2*b^5*c)","A"
234,1,331,265,0.069000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)*x^(1/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(1155 B \,c^{6} x^{11}+1463 A \,c^{6} x^{9}+2772 B b \,c^{5} x^{9}+3724 A b \,c^{5} x^{7}+1701 B \,b^{2} c^{4} x^{7}+2489 A \,b^{2} c^{4} x^{5}-24 B \,b^{3} c^{3} x^{5}-152 A \,b^{3} c^{3} x^{3}+72 B \,b^{4} c^{2} x^{3}-380 A \,b^{4} c^{2} x +180 B \,b^{5} c x +190 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A \,b^{4} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-90 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B \,b^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{21945 \left(c \,x^{2}+b \right)^{2} c^{4} x^{\frac{7}{2}}}"," ",0,"2/21945*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2*(1155*B*x^11*c^6+1463*A*x^9*c^6+2772*B*x^9*b*c^5+3724*A*x^7*b*c^5+1701*B*x^7*b^2*c^4+190*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b^4*c+2489*A*x^5*b^2*c^4-90*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b^5-24*B*x^5*b^3*c^3-152*A*x^3*b^3*c^3+72*B*x^3*b^4*c^2-380*A*x*b^4*c^2+180*B*x*b^5*c)/c^4","A"
235,1,470,398,0.069000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(1/2),x)","-\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-195 B \,c^{5} x^{10}-255 A \,c^{5} x^{8}-480 B b \,c^{4} x^{8}-680 A b \,c^{4} x^{6}-305 B \,b^{2} c^{3} x^{6}-493 A \,b^{2} c^{3} x^{4}+8 B \,b^{3} c^{2} x^{4}-68 A \,b^{3} c^{2} x^{2}+28 B \,b^{4} c \,x^{2}+204 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{4} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-102 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{4} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-84 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{5} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{3315 \left(c \,x^{2}+b \right)^{2} c^{3} x^{\frac{7}{2}}}"," ",0,"-2/3315*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2/c^3*(-195*B*x^10*c^5-255*A*x^8*c^5-480*B*x^8*b*c^4-680*A*x^6*b*c^4-305*B*x^6*b^2*c^3+204*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^4*c-102*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^4*c-84*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^5+42*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^5-493*A*x^4*b^2*c^3+8*B*x^4*b^3*c^2-68*A*x^2*b^3*c^2+28*B*x^2*b^4*c)","A"
236,1,307,228,0.068000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(3/2),x)","-\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-77 B \,c^{5} x^{9}-105 A \,c^{5} x^{7}-196 B b \,c^{4} x^{7}-300 A b \,c^{4} x^{5}-131 B \,b^{2} c^{3} x^{5}-255 A \,b^{2} c^{3} x^{3}+8 B \,b^{3} c^{2} x^{3}-60 A \,b^{3} c^{2} x +20 B \,b^{4} c x +30 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-10 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{1155 \left(c \,x^{2}+b \right)^{2} c^{3} x^{\frac{7}{2}}}"," ",0,"-2/1155*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2*(-77*B*c^5*x^9-105*A*c^5*x^7-196*B*b*c^4*x^7+30*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3*c-300*A*b*c^4*x^5-10*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^4-131*B*b^2*c^3*x^5-255*A*b^2*c^3*x^3+8*B*b^3*c^2*x^3-60*A*b^3*c^2*x+20*B*b^4*c*x)/c^3","A"
237,1,446,365,0.071000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(5/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(45 B \,c^{4} x^{8}+65 A \,c^{4} x^{6}+120 B b \,c^{3} x^{6}+208 A b \,c^{3} x^{4}+87 B \,b^{2} c^{2} x^{4}+143 A \,b^{2} c^{2} x^{2}+12 B \,b^{3} c \,x^{2}+156 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-78 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-36 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+18 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{585 \left(c \,x^{2}+b \right)^{2} c^{2} x^{\frac{7}{2}}}"," ",0,"2/585*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2/c^2*(45*B*c^4*x^8+65*A*c^4*x^6+120*B*b*c^3*x^6+156*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-78*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-36*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))+18*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))+208*A*b*c^3*x^4+87*B*b^2*c^2*x^4+143*A*b^2*c^2*x^2+12*B*b^3*c*x^2)","A"
238,1,283,196,0.068000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(7/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(7 B \,c^{4} x^{7}+11 A \,c^{4} x^{5}+20 B b \,c^{3} x^{5}+44 A b \,c^{3} x^{3}+17 B \,b^{2} c^{2} x^{3}+33 A \,b^{2} c^{2} x +4 B \,b^{3} c x +22 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right)}{77 \left(c \,x^{2}+b \right)^{2} c^{2} x^{\frac{7}{2}}}"," ",0,"2/77*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2*(7*B*c^4*x^7+22*A*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^2*c+11*A*c^4*x^5-2*B*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^3+20*B*b*c^3*x^5+44*A*b*c^3*x^3+17*B*b^2*c^2*x^3+33*A*b^2*c^2*x+4*B*b^3*c*x)/c^2","A"
239,1,429,354,0.078000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(9/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(5 B \,c^{3} x^{6}+9 A \,c^{3} x^{4}+16 B b \,c^{2} x^{4}-36 A b \,c^{2} x^{2}+11 B \,b^{2} c \,x^{2}+108 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-54 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+12 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-45 A \,b^{2} c \right)}{45 \left(c \,x^{2}+b \right)^{2} c \,x^{\frac{7}{2}}}"," ",0,"2/45*(c*x^4+b*x^2)^(3/2)/x^(7/2)/(c*x^2+b)^2*(5*B*c^3*x^6+108*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-54*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c+12*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3-6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3+9*A*c^3*x^4+16*B*b*c^2*x^4-36*A*b*c^2*x^2+11*B*b^2*c*x^2-45*A*b^2*c)/c","A"
240,1,260,195,0.088000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(11/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(3 B \,c^{3} x^{6}+7 A \,c^{3} x^{4}+12 B b \,c^{2} x^{4}+9 B \,b^{2} c \,x^{2}+14 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A b c x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B \,b^{2} x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-7 A \,b^{2} c \right)}{21 \left(c \,x^{2}+b \right)^{2} c \,x^{\frac{9}{2}}}"," ",0,"2/21*(c*x^4+b*x^2)^(3/2)/x^(9/2)/(c*x^2+b)^2*(14*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x*b*c+6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x*b^2+3*B*c^3*x^6+7*A*c^3*x^4+12*B*b*c^2*x^4+9*B*b^2*c*x^2-7*A*b^2*c)/c","A"
241,1,427,352,0.072000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(13/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(B \,c^{2} x^{6}-7 A \,c^{2} x^{4}-4 B b c \,x^{4}+12 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+12 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-8 A b c \,x^{2}-5 B \,b^{2} x^{2}-A \,b^{2}\right)}{5 \left(c \,x^{2}+b \right)^{2} x^{\frac{11}{2}}}"," ",0,"2/5*(c*x^4+b*x^2)^(3/2)/x^(11/2)/(c*x^2+b)^2*(12*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-6*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c+12*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2-6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2+B*c^2*x^6-7*A*c^2*x^4-4*B*b*c*x^4-8*A*b*c*x^2-5*B*b^2*x^2-A*b^2)","A"
242,1,254,199,0.076000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(15/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(7 B \,c^{2} x^{6}-9 A \,c^{2} x^{4}+6 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+14 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-12 A b c \,x^{2}-7 B \,b^{2} x^{2}-3 A \,b^{2}\right)}{21 \left(c \,x^{2}+b \right)^{2} x^{\frac{13}{2}}}"," ",0,"2/21*(c*x^4+b*x^2)^(3/2)/x^(13/2)/(c*x^2+b)^2*(6*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c+14*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b+7*B*c^2*x^6-9*A*c^2*x^4-12*A*b*c*x^2-7*B*b^2*x^2-3*A*b^2)","A"
243,1,452,360,0.073000," ","int((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(17/2),x)","\frac{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} \left(-12 A \,c^{3} x^{6}-63 B b \,c^{2} x^{6}+12 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+108 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-54 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-23 A b \,c^{2} x^{4}-72 B \,b^{2} c \,x^{4}-16 A \,b^{2} c \,x^{2}-9 B \,b^{3} x^{2}-5 A \,b^{3}\right)}{45 \left(c \,x^{2}+b \right)^{2} b \,x^{\frac{15}{2}}}"," ",0,"2/45*(c*x^4+b*x^2)^(3/2)/x^(15/2)/(c*x^2+b)^2*(12*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-6*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2+108*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c-54*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c-12*A*c^3*x^6-63*B*b*c^2*x^6-23*A*b*c^2*x^4-72*B*b^2*c*x^4-16*A*b^2*c*x^2-9*B*b^3*x^2-5*A*b^3)/b","A"
244,1,298,232,0.091000," ","int(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(-154 B \,c^{5} x^{9}-210 A \,c^{5} x^{7}+28 B b \,c^{4} x^{7}+60 A b \,c^{4} x^{5}-52 B \,b^{2} c^{3} x^{5}-180 A \,b^{2} c^{3} x^{3}+156 B \,b^{3} c^{2} x^{3}-450 A \,b^{3} c^{2} x +390 B \,b^{4} c x +225 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-195 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{1155 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{5}}"," ",0,"-1/1155/(c*x^4+b*x^2)^(1/2)*x^(1/2)*(-154*B*c^5*x^9-210*A*c^5*x^7+28*B*b*c^4*x^7+225*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3*c+60*A*b*c^4*x^5-195*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^4-52*B*b^2*c^3*x^5-180*A*b^2*c^3*x^3+156*B*b^3*c^2*x^3-450*A*b^3*c^2*x+390*B*b^4*c*x)/c^5","A"
245,1,437,365,0.092000," ","int(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(90 B \,c^{4} x^{8}+130 A \,c^{4} x^{6}-20 B b \,c^{3} x^{6}-52 A b \,c^{3} x^{4}+44 B \,b^{2} c^{2} x^{4}-182 A \,b^{2} c^{2} x^{2}+154 B \,b^{3} c \,x^{2}+546 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-273 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{3} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-462 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+231 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{585 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{4}}"," ",0,"1/585/(c*x^4+b*x^2)^(1/2)*x^(1/2)/c^4*(90*B*c^4*x^8+130*A*c^4*x^6-20*B*b*c^3*x^6+546*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-273*A*b^3*c*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-462*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))+231*B*b^4*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))-52*A*b*c^3*x^4+44*B*b^2*c^2*x^4-182*A*b^2*c^2*x^2+154*B*b^3*c*x^2)","A"
246,1,274,199,0.071000," ","int(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(42 B \,c^{4} x^{7}+66 A \,c^{4} x^{5}-12 B b \,c^{3} x^{5}-44 A b \,c^{3} x^{3}+36 B \,b^{2} c^{2} x^{3}-110 A \,b^{2} c^{2} x +90 B \,b^{3} c x +55 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-45 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{231 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{4}}"," ",0,"1/231/(c*x^4+b*x^2)^(1/2)*x^(1/2)*(42*B*c^4*x^7+55*A*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^2*c+66*A*c^4*x^5-45*B*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^3-12*B*b*c^3*x^5-44*A*b*c^3*x^3+36*B*x^3*b^2*c^2-110*A*b^2*c^2*x+90*B*x*b^3*c)/c^4","A"
247,1,413,332,0.069000," ","int(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(-10 B \,c^{3} x^{6}-18 A \,c^{3} x^{4}+4 B b \,c^{2} x^{4}-18 A b \,c^{2} x^{2}+14 B \,b^{2} c \,x^{2}+54 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-27 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{45 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{3}}"," ",0,"-1/45/(c*x^4+b*x^2)^(1/2)*x^(1/2)/c^3*(-10*B*c^3*x^6+54*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-27*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-42*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3+21*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3-18*A*c^3*x^4+4*B*b*c^2*x^4-18*A*b*c^2*x^2+14*B*b^2*c*x^2)","A"
248,1,248,168,0.068000," ","int(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","-\frac{\left(-6 B \,c^{3} x^{5}-14 A \,c^{3} x^{3}+4 B b \,c^{2} x^{3}-14 A b \,c^{2} x +10 B \,b^{2} c x +7 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{21 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{3}}"," ",0,"-1/21/(c*x^4+b*x^2)^(1/2)*x^(1/2)*(7*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b*c-5*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b^2-6*B*c^3*x^5-14*A*x^3*c^3+4*B*b*c^2*x^3-14*A*b*c^2*x+10*B*b^2*c*x)/c^3","A"
249,1,378,301,0.067000," ","int(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(2 B \,c^{2} x^{4}+2 B b c \,x^{2}+10 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{5 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{2}}"," ",0,"1/5/(c*x^4+b*x^2)^(1/2)*x^(1/2)/c^2*(10*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-5*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+3*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+2*B*c^2*x^4+2*B*x^2*b*c)","A"
250,1,216,137,0.066000," ","int((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(2 B \,c^{2} x^{3}+2 B b c x +3 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, A c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, B b \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) \sqrt{x}}{3 \sqrt{c \,x^{4}+b \,x^{2}}\, c^{2}}"," ",0,"1/3/(c*x^4+b*x^2)^(1/2)*x^(1/2)*(3*A*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*c-B*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*b+2*B*c^2*x^3+2*B*x*b*c)/c^2","A"
251,1,377,297,0.069000," ","int((B*x^2+A)/x^(1/2)/(c*x^4+b*x^2)^(1/2),x)","\frac{\left(-2 A \,c^{2} x^{2}+2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-2 A b c \right) \sqrt{x}}{\sqrt{c \,x^{4}+b \,x^{2}}\, b c}"," ",0,"1/(c*x^4+b*x^2)^(1/2)*x^(1/2)*(2*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c+2*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2-B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2-2*A*x^2*c^2-2*A*b*c)/c/b","A"
252,1,219,138,0.072000," ","int((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^(1/2),x)","-\frac{2 A \,c^{2} x^{2}+\sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+2 A b c}{3 \sqrt{c \,x^{4}+b \,x^{2}}\, b c \sqrt{x}}"," ",0,"-1/3/(c*x^4+b*x^2)^(1/2)/x^(1/2)*(A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*c-3*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*b+2*A*c^2*x^2+2*A*b*c)/c/b","A"
253,1,413,334,0.075000," ","int((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2)^(1/2),x)","-\frac{-6 A \,c^{2} x^{4}+10 B b c \,x^{4}+6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-10 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+5 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-4 A b c \,x^{2}+10 B \,b^{2} x^{2}+2 A \,b^{2}}{5 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{2} x^{\frac{3}{2}}}"," ",0,"-1/5/(c*x^4+b*x^2)^(1/2)/x^(3/2)*(6*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-3*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-10*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2+5*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2-6*A*c^2*x^4+10*B*b*c*x^4-4*A*b*c*x^2+10*B*b^2*x^2+2*A*b^2)/b^2","A"
254,1,247,168,0.071000," ","int((B*x^2+A)/x^(7/2)/(c*x^4+b*x^2)^(1/2),x)","\frac{10 A \,c^{2} x^{4}-14 B b c \,x^{4}+5 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-7 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+4 A b c \,x^{2}-14 B \,b^{2} x^{2}-6 A \,b^{2}}{21 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{2} x^{\frac{5}{2}}}"," ",0,"1/21/(c*x^4+b*x^2)^(1/2)/x^(5/2)*(5*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c-7*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b+10*A*c^2*x^4-14*B*b*c*x^4+4*A*b*c*x^2-14*B*b^2*x^2-6*A*b^2)/b^2","A"
255,1,443,365,0.083000," ","int((B*x^2+A)/x^(9/2)/(c*x^4+b*x^2)^(1/2),x)","\frac{-42 A \,c^{3} x^{6}+54 B b \,c^{2} x^{6}+42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-54 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+27 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-28 A b \,c^{2} x^{4}+36 B \,b^{2} c \,x^{4}+4 A \,b^{2} c \,x^{2}-18 B \,b^{3} x^{2}-10 A \,b^{3}}{45 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{3} x^{\frac{7}{2}}}"," ",0,"1/45/(c*x^4+b*x^2)^(1/2)/x^(7/2)*(42*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-21*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-54*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c+27*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c-42*A*c^3*x^6+54*B*b*c^2*x^6-28*A*b*c^2*x^4+36*B*b^2*c*x^4+4*A*b^2*c*x^2-18*B*b^3*x^2-10*A*b^3)/b^3","A"
256,1,274,199,0.086000," ","int((B*x^2+A)/x^(11/2)/(c*x^4+b*x^2)^(1/2),x)","-\frac{90 A \,c^{3} x^{6}-110 B b \,c^{2} x^{6}+45 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A \,c^{2} x^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-55 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B b c \,x^{5} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+36 A b \,c^{2} x^{4}-44 B \,b^{2} c \,x^{4}-12 A \,b^{2} c \,x^{2}+66 B \,b^{3} x^{2}+42 A \,b^{3}}{231 \sqrt{c \,x^{4}+b \,x^{2}}\, b^{3} x^{\frac{9}{2}}}"," ",0,"-1/231/(c*x^4+b*x^2)^(1/2)/x^(9/2)*(45*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x^5*c^2-55*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*x^5*b*c+90*A*c^3*x^6-110*B*b*c^2*x^6+36*A*b*c^2*x^4-44*B*b^2*c*x^4-12*A*b^2*c*x^2+66*B*b^3*x^2+42*A*b^3)/b^3","A"
257,1,281,242,0.149000," ","int(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(28 B \,c^{4} x^{7}+44 A \,c^{4} x^{5}-52 B b \,c^{3} x^{5}-132 A b \,c^{3} x^{3}+156 B \,b^{2} c^{2} x^{3}-330 A \,b^{2} c^{2} x +390 B \,b^{3} c x +165 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-195 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{154 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{5}}"," ",0,"1/154/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(28*B*c^4*x^7+165*A*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^2*c+44*A*c^4*x^5-195*B*(-b*c)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*b^3-52*B*b*c^3*x^5-132*A*b*c^3*x^3+156*B*b^2*c^2*x^3-330*A*b^2*c^2*x+390*B*x*b^3*c)/c^5","A"
258,1,420,375,0.122000," ","int(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-20 B \,c^{3} x^{6}-36 A \,c^{3} x^{4}+44 B b \,c^{2} x^{4}-126 A b \,c^{2} x^{2}+154 B \,b^{2} c \,x^{2}+378 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-189 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A \,b^{2} c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-462 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+231 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{90 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{4}}"," ",0,"-1/90/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(-20*B*c^3*x^6+378*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-189*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2*c-462*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3+231*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^3-36*A*c^3*x^4+44*B*b*c^2*x^4-126*A*b*c^2*x^2+154*B*b^2*c*x^2)/c^4","A"
259,1,255,211,0.089000," ","int(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-12 B \,c^{3} x^{5}-28 A \,c^{3} x^{3}+36 B b \,c^{2} x^{3}-70 A b \,c^{2} x +90 B \,b^{2} c x +35 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-45 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{-b c}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{42 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{4}}"," ",0,"-1/42/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(35*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b*c-45*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*(-b*c)^(1/2)*b^2-12*B*c^3*x^5-28*A*c^3*x^3+36*B*b*c^2*x^3-70*A*b*c^2*x+90*B*b^2*c*x)/c^4","A"
260,1,394,344,0.092000," ","int(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(4 B \,c^{2} x^{4}-10 A \,c^{2} x^{2}+14 B b c \,x^{2}+30 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-15 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+21 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{10 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{3}}"," ",0,"1/10/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(30*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-15*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-42*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+21*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+4*B*c^2*x^4-10*A*c^2*x^2+14*B*b*c*x^2)/c^3","A"
261,1,230,181,0.082000," ","int(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(4 B \,c^{2} x^{3}-6 A \,c^{2} x +10 B b c x +3 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, A c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-5 \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, B b \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{6 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} c^{3}}"," ",0,"1/6/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(3*A*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*c-5*B*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*b+4*B*c^2*x^3-6*A*x*c^2+10*B*b*c*x)/c^3","A"
262,1,388,313,0.081000," ","int(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-2 A \,c^{2} x^{2}+2 B b c \,x^{2}+2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b \,c^{2}}"," ",0,"-1/2/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(2*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-6*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+3*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2-2*A*c^2*x^2+2*B*b*c*x^2)/c^2/b","A"
263,1,222,146,0.087000," ","int(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(2 A \,c^{2} x -2 B b c x +\sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, A c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-b c}\, B b \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)\right) x^{\frac{5}{2}}}{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b \,c^{2}}"," ",0,"1/2/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(A*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*c+B*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-b*c)^(1/2)*b+2*A*c^2*x-2*B*b*c*x)/b/c^2","A"
264,1,392,328,0.098000," ","int(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(-6 A \,c^{2} x^{2}+2 B b c \,x^{2}+6 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-2 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-4 A b c \right) x^{\frac{5}{2}}}{2 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{2} c}"," ",0,"1/2/(c*x^4+b*x^2)^(3/2)*x^(5/2)*(c*x^2+b)*(6*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-3*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b*c-2*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2+B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*b^2-6*A*c^2*x^2+2*B*b*c*x^2-4*A*b*c)/c/b^2","A"
265,1,235,168,0.090000," ","int((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^(3/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(10 A \,c^{2} x^{2}-6 B b c \,x^{2}+5 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b x \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+4 A b c \right) x^{\frac{3}{2}}}{6 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{2} c}"," ",0,"-1/6/(c*x^4+b*x^2)^(3/2)*x^(3/2)*(c*x^2+b)*(5*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*c-3*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x*b+10*A*c^2*x^2-6*B*b*c*x^2+4*A*b*c)/c/b^2","A"
266,1,420,364,0.087000," ","int((B*x^2+A)/(c*x^4+b*x^2)^(3/2)/x^(1/2),x)","-\frac{\left(c \,x^{2}+b \right) \left(-42 A \,c^{2} x^{4}+30 B b c \,x^{4}+42 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b c \,x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-30 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+15 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} x^{2} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-28 A b c \,x^{2}+20 B \,b^{2} x^{2}+4 A \,b^{2}\right) \sqrt{x}}{10 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{3}}"," ",0,"-1/10/(c*x^4+b*x^2)^(3/2)*x^(1/2)*(c*x^2+b)*(42*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-21*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b*c-30*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2+15*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^2*b^2-42*A*c^2*x^4+30*B*b*c*x^4-28*A*b*c*x^2+20*B*b^2*x^2+4*A*b^2)/b^3","A"
267,1,254,198,0.093000," ","int((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(90 A \,c^{2} x^{4}-70 B b c \,x^{4}+45 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A c \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-35 \sqrt{-b c}\, \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B b \,x^{3} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+36 A b c \,x^{2}-28 B \,b^{2} x^{2}-12 A \,b^{2}\right)}{42 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{3} \sqrt{x}}"," ",0,"1/42/(c*x^4+b*x^2)^(3/2)/x^(1/2)*(c*x^2+b)*(45*A*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*c-35*B*(-b*c)^(1/2)*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^3*b+90*A*c^2*x^4-70*B*b*c*x^4+36*A*b*c*x^2-28*B*b^2*x^2-12*A*b^2)/b^3","A"
268,1,450,395,0.094000," ","int((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2)^(3/2),x)","\frac{\left(c \,x^{2}+b \right) \left(-462 A \,c^{3} x^{6}+378 B b \,c^{2} x^{6}+462 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-231 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, A b \,c^{2} x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-378 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticE \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)+189 \sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{2}\, \sqrt{\frac{-c x +\sqrt{-b c}}{\sqrt{-b c}}}\, \sqrt{-\frac{c x}{\sqrt{-b c}}}\, B \,b^{2} c \,x^{4} \EllipticF \left(\sqrt{\frac{c x +\sqrt{-b c}}{\sqrt{-b c}}}, \frac{\sqrt{2}}{2}\right)-308 A b \,c^{2} x^{4}+252 B \,b^{2} c \,x^{4}+44 A \,b^{2} c \,x^{2}-36 B \,b^{3} x^{2}-20 A \,b^{3}\right)}{90 \left(c \,x^{4}+b \,x^{2}\right)^{\frac{3}{2}} b^{4} x^{\frac{3}{2}}}"," ",0,"1/90/(c*x^4+b*x^2)^(3/2)/x^(3/2)*(c*x^2+b)*(462*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-231*A*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b*c^2-378*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticE(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c+189*B*((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*2^(1/2)*((-c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2)*(-1/(-b*c)^(1/2)*c*x)^(1/2)*EllipticF(((c*x+(-b*c)^(1/2))/(-b*c)^(1/2))^(1/2),1/2*2^(1/2))*x^4*b^2*c-462*A*c^3*x^6+378*B*b*c^2*x^6-308*A*b*c^2*x^4+252*B*b^2*c*x^4+44*A*b^2*c*x^2-36*B*b^3*x^2-20*A*b^3)/b^4","A"
269,1,474,96,0.052000," ","int(x^m*(B*x^2+A)*(c*x^4+b*x^2)^3,x)","\frac{\left(B \,c^{3} m^{4} x^{8}+40 B \,c^{3} m^{3} x^{8}+A \,c^{3} m^{4} x^{6}+3 B b \,c^{2} m^{4} x^{6}+590 B \,c^{3} m^{2} x^{8}+42 A \,c^{3} m^{3} x^{6}+126 B b \,c^{2} m^{3} x^{6}+3800 B \,c^{3} m \,x^{8}+3 A b \,c^{2} m^{4} x^{4}+644 A \,c^{3} m^{2} x^{6}+3 B \,b^{2} c \,m^{4} x^{4}+1932 B b \,c^{2} m^{2} x^{6}+9009 B \,c^{3} x^{8}+132 A b \,c^{2} m^{3} x^{4}+4278 A \,c^{3} m \,x^{6}+132 B \,b^{2} c \,m^{3} x^{4}+12834 B b \,c^{2} m \,x^{6}+3 A \,b^{2} c \,m^{4} x^{2}+2118 A b \,c^{2} m^{2} x^{4}+10395 A \,c^{3} x^{6}+B \,b^{3} m^{4} x^{2}+2118 B \,b^{2} c \,m^{2} x^{4}+31185 B b \,c^{2} x^{6}+138 A \,b^{2} c \,m^{3} x^{2}+14652 A b \,c^{2} m \,x^{4}+46 B \,b^{3} m^{3} x^{2}+14652 B \,b^{2} c m \,x^{4}+A \,b^{3} m^{4}+2328 A \,b^{2} c \,m^{2} x^{2}+36855 A b \,c^{2} x^{4}+776 B \,b^{3} m^{2} x^{2}+36855 B \,b^{2} c \,x^{4}+48 A \,b^{3} m^{3}+16998 A \,b^{2} c m \,x^{2}+5666 B \,b^{3} m \,x^{2}+854 A \,b^{3} m^{2}+45045 A \,b^{2} c \,x^{2}+15015 B \,b^{3} x^{2}+6672 A \,b^{3} m +19305 A \,b^{3}\right) x^{m +7}}{\left(m +15\right) \left(m +13\right) \left(m +11\right) \left(m +9\right) \left(m +7\right)}"," ",0,"x^(m+7)*(B*c^3*m^4*x^8+40*B*c^3*m^3*x^8+A*c^3*m^4*x^6+3*B*b*c^2*m^4*x^6+590*B*c^3*m^2*x^8+42*A*c^3*m^3*x^6+126*B*b*c^2*m^3*x^6+3800*B*c^3*m*x^8+3*A*b*c^2*m^4*x^4+644*A*c^3*m^2*x^6+3*B*b^2*c*m^4*x^4+1932*B*b*c^2*m^2*x^6+9009*B*c^3*x^8+132*A*b*c^2*m^3*x^4+4278*A*c^3*m*x^6+132*B*b^2*c*m^3*x^4+12834*B*b*c^2*m*x^6+3*A*b^2*c*m^4*x^2+2118*A*b*c^2*m^2*x^4+10395*A*c^3*x^6+B*b^3*m^4*x^2+2118*B*b^2*c*m^2*x^4+31185*B*b*c^2*x^6+138*A*b^2*c*m^3*x^2+14652*A*b*c^2*m*x^4+46*B*b^3*m^3*x^2+14652*B*b^2*c*m*x^4+A*b^3*m^4+2328*A*b^2*c*m^2*x^2+36855*A*b*c^2*x^4+776*B*b^3*m^2*x^2+36855*B*b^2*c*x^4+48*A*b^3*m^3+16998*A*b^2*c*m*x^2+5666*B*b^3*m*x^2+854*A*b^3*m^2+45045*A*b^2*c*x^2+15015*B*b^3*x^2+6672*A*b^3*m+19305*A*b^3)/(m+15)/(m+13)/(m+11)/(m+9)/(m+7)","B"
270,1,262,71,0.052000," ","int(x^m*(B*x^2+A)*(c*x^4+b*x^2)^2,x)","\frac{\left(B \,c^{2} m^{3} x^{6}+21 B \,c^{2} m^{2} x^{6}+A \,c^{2} m^{3} x^{4}+2 B b c \,m^{3} x^{4}+143 B \,c^{2} m \,x^{6}+23 A \,c^{2} m^{2} x^{4}+46 B b c \,m^{2} x^{4}+315 B \,c^{2} x^{6}+2 A b c \,m^{3} x^{2}+167 A \,c^{2} m \,x^{4}+B \,b^{2} m^{3} x^{2}+334 B b c m \,x^{4}+50 A b c \,m^{2} x^{2}+385 A \,c^{2} x^{4}+25 B \,b^{2} m^{2} x^{2}+770 B b c \,x^{4}+A \,b^{2} m^{3}+398 A b c m \,x^{2}+199 B \,b^{2} m \,x^{2}+27 A \,b^{2} m^{2}+990 A b c \,x^{2}+495 B \,b^{2} x^{2}+239 A \,b^{2} m +693 A \,b^{2}\right) x^{m +5}}{\left(m +11\right) \left(m +9\right) \left(m +7\right) \left(m +5\right)}"," ",0,"x^(m+5)*(B*c^2*m^3*x^6+21*B*c^2*m^2*x^6+A*c^2*m^3*x^4+2*B*b*c*m^3*x^4+143*B*c^2*m*x^6+23*A*c^2*m^2*x^4+46*B*b*c*m^2*x^4+315*B*c^2*x^6+2*A*b*c*m^3*x^2+167*A*c^2*m*x^4+B*b^2*m^3*x^2+334*B*b*c*m*x^4+50*A*b*c*m^2*x^2+385*A*c^2*x^4+25*B*b^2*m^2*x^2+770*B*b*c*x^4+A*b^2*m^3+398*A*b*c*m*x^2+199*B*b^2*m*x^2+27*A*b^2*m^2+990*A*b*c*x^2+495*B*b^2*x^2+239*A*b^2*m+693*A*b^2)/(m+11)/(m+9)/(m+7)/(m+5)","B"
271,1,110,45,0.049000," ","int(x^m*(B*x^2+A)*(c*x^4+b*x^2),x)","\frac{\left(B c \,m^{2} x^{4}+8 B c m \,x^{4}+A c \,m^{2} x^{2}+B b \,m^{2} x^{2}+15 B c \,x^{4}+10 A c m \,x^{2}+10 B b m \,x^{2}+A b \,m^{2}+21 A c \,x^{2}+21 B b \,x^{2}+12 A b m +35 A b \right) x^{m +3}}{\left(m +7\right) \left(m +5\right) \left(m +3\right)}"," ",0,"x^(m+3)*(B*c*m^2*x^4+8*B*c*m*x^4+A*c*m^2*x^2+B*b*m^2*x^2+15*B*c*x^4+10*A*c*m*x^2+10*B*b*m*x^2+A*b*m^2+21*A*c*x^2+21*B*b*x^2+12*A*b*m+35*A*b)/(m+7)/(m+5)/(m+3)","B"
272,0,0,69,0.546000," ","int(x^m*(B*x^2+A)/(c*x^4+b*x^2),x)","\int \frac{\left(B \,x^{2}+A \right) x^{m}}{c \,x^{4}+b \,x^{2}}\, dx"," ",0,"int(x^m*(B*x^2+A)/(c*x^4+b*x^2),x)","F"
273,0,0,92,0.532000," ","int(x^m*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","\int \frac{\left(B \,x^{2}+A \right) x^{m}}{\left(c \,x^{4}+b \,x^{2}\right)^{2}}\, dx"," ",0,"int(x^m*(B*x^2+A)/(c*x^4+b*x^2)^2,x)","F"
274,0,0,134,0.530000," ","int(x^m*(B*x^2+A)*(c*x^4+b*x^2)^p,x)","\int \left(B \,x^{2}+A \right) x^{m} \left(c \,x^{4}+b \,x^{2}\right)^{p}\, dx"," ",0,"int(x^m*(B*x^2+A)*(c*x^4+b*x^2)^p,x)","F"
275,0,0,96,0.799000," ","int(x^(-j*p+n-1)*(d*x^n+c)*(a*x^j+b*x^(j+n))^p,x)","\int \left(d \,x^{n}+c \right) x^{-j p +n -1} \left(a \,x^{j}+b \,x^{j +n}\right)^{p}\, dx"," ",0,"int(x^(-j*p+n-1)*(d*x^n+c)*(a*x^j+b*x^(j+n))^p,x)","F"
276,0,0,113,2.311000," ","int((e*x)^m*(d*x^n+c)^q*(a*x^j+b*x^(j+n))^p,x)","\int \left(e x \right)^{m} \left(d \,x^{n}+c \right)^{q} \left(a \,x^{j}+b \,x^{j +n}\right)^{p}\, dx"," ",0,"int((e*x)^m*(d*x^n+c)^q*(a*x^j+b*x^(j+n))^p,x)","F"
277,0,0,115,1.081000," ","int((e*x)^(7/4)*(d*x^n+c)^q*(a*x^j+b*x^(j+n))^(5/3),x)","\int \left(e x \right)^{\frac{7}{4}} \left(a \,x^{j}+b \,x^{j +n}\right)^{\frac{5}{3}} \left(d \,x^{n}+c \right)^{q}\, dx"," ",0,"int((e*x)^(7/4)*(d*x^n+c)^q*(a*x^j+b*x^(j+n))^(5/3),x)","F"
278,1,16,15,0.046000," ","int((3*x^4+4)/(2*x^5+5*x),x)","\frac{4 \ln \left(x \right)}{5}+\frac{7 \ln \left(2 x^{4}+5\right)}{40}"," ",0,"4/5*ln(x)+7/40*ln(2*x^4+5)","A"
279,1,36,13,0.050000," ","int((x^6+1)/(-x^7+x),x)","\ln \left(x \right)-\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x +1\right)}{3}-\frac{\ln \left(x^{2}-x +1\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{3}"," ",0,"-1/3*ln(x-1)-1/3*ln(x^2+x+1)-1/3*ln(x+1)+ln(x)-1/3*ln(x^2-x+1)","B"
280,1,14,15,0.048000," ","int((5*x^10+8)/(-x^11+2*x),x)","4 \ln \left(x \right)-\frac{9 \ln \left(x^{10}-2\right)}{10}"," ",0,"-9/10*ln(x^10-2)+4*ln(x)","A"
281,1,15,16,0.053000," ","int((2*x-3)/(x^3-x^2),x)","\ln \left(x \right)-\ln \left(x -1\right)-\frac{3}{x}"," ",0,"-ln(x-1)+ln(x)-3/x","A"
282,0,0,56,0.920000," ","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}}\, dx"," ",0,"int((a*x^m+b*x^n)/(c*x^m+d*x^n),x)","F"
283,0,0,18,1.104000," ","int(x^m*(b*x^n+a)^p*(a*(1+m+q)*x^q+b*(1+m+(p+1)*n+q)*x^(n+q)),x)","\int \left(\left(m +q +1\right) a \,x^{q}+\left(m +\left(p +1\right) n +q +1\right) b \,x^{n +q}\right) x^{m} \left(b \,x^{n}+a \right)^{p}\, dx"," ",0,"int(x^m*(b*x^n+a)^p*(a*(1+m+q)*x^q+b*(1+m+(p+1)*n+q)*x^(n+q)),x)","F"
284,0,0,64,0.589000," ","int((a+b/x)^n*x^m/(d*x+c),x)","\int \frac{x^{m} \left(a +\frac{b}{x}\right)^{n}}{d x +c}\, dx"," ",0,"int((a+b/x)^n*x^m/(d*x+c),x)","F"
285,0,0,193,0.510000," ","int((a+b/x)^n*x^2/(d*x+c),x)","\int \frac{x^{2} \left(a +\frac{b}{x}\right)^{n}}{d x +c}\, dx"," ",0,"int((a+b/x)^n*x^2/(d*x+c),x)","F"
286,0,0,135,0.539000," ","int((a+b/x)^n*x/(d*x+c),x)","\int \frac{x \left(a +\frac{b}{x}\right)^{n}}{d x +c}\, dx"," ",0,"int((a+b/x)^n*x/(d*x+c),x)","F"
287,0,0,105,0.520000," ","int((a+b/x)^n/(d*x+c),x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{d x +c}\, dx"," ",0,"int((a+b/x)^n/(d*x+c),x)","F"
288,0,0,56,0.525000," ","int((a+b/x)^n/x/(d*x+c),x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right) x}\, dx"," ",0,"int((a+b/x)^n/x/(d*x+c),x)","F"
289,0,0,86,0.556000," ","int((a+b/x)^n/x^2/(d*x+c),x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right) x^{2}}\, dx"," ",0,"int((a+b/x)^n/x^2/(d*x+c),x)","F"
290,0,0,117,0.529000," ","int((a+b/x)^n/x^3/(d*x+c),x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right) x^{3}}\, dx"," ",0,"int((a+b/x)^n/x^3/(d*x+c),x)","F"
291,0,0,209,0.526000," ","int((a+b/x)^n/x^5/(d*x+c),x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right) x^{5}}\, dx"," ",0,"int((a+b/x)^n/x^5/(d*x+c),x)","F"
292,0,0,73,0.518000," ","int((a+b/x)^n*x^m/(d*x+c)^2,x)","\int \frac{x^{m} \left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b/x)^n*x^m/(d*x+c)^2,x)","F"
293,0,0,206,0.534000," ","int((a+b/x)^n*x^2/(d*x+c)^2,x)","\int \frac{x^{2} \left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b/x)^n*x^2/(d*x+c)^2,x)","F"
294,0,0,154,0.539000," ","int((a+b/x)^n*x/(d*x+c)^2,x)","\int \frac{x \left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b/x)^n*x/(d*x+c)^2,x)","F"
295,0,0,58,0.510000," ","int((a+b/x)^n/(d*x+c)^2,x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int((a+b/x)^n/(d*x+c)^2,x)","F"
296,0,0,107,0.563000," ","int((a+b/x)^n/x/(d*x+c)^2,x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2} x}\, dx"," ",0,"int((a+b/x)^n/x/(d*x+c)^2,x)","F"
297,0,0,135,0.511000," ","int((a+b/x)^n/x^2/(d*x+c)^2,x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2} x^{2}}\, dx"," ",0,"int((a+b/x)^n/x^2/(d*x+c)^2,x)","F"
298,0,0,219,0.540000," ","int((a+b/x)^n/x^3/(d*x+c)^2,x)","\int \frac{\left(a +\frac{b}{x}\right)^{n}}{\left(d x +c \right)^{2} x^{3}}\, dx"," ",0,"int((a+b/x)^n/x^3/(d*x+c)^2,x)","F"