1,1,27,0,1.402809," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{1}{9} \, B c x^{9} + \frac{1}{7} \, {\left(B b + A c\right)} x^{7} + \frac{1}{5} \, A b x^{5}"," ",0,"1/9*B*c*x^9 + 1/7*(B*b + A*c)*x^7 + 1/5*A*b*x^5","A",0
2,1,27,0,1.259216," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{1}{8} \, B c x^{8} + \frac{1}{6} \, {\left(B b + A c\right)} x^{6} + \frac{1}{4} \, A b x^{4}"," ",0,"1/8*B*c*x^8 + 1/6*(B*b + A*c)*x^6 + 1/4*A*b*x^4","A",0
3,1,27,0,1.348228," ","integrate((B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{1}{7} \, B c x^{7} + \frac{1}{5} \, {\left(B b + A c\right)} x^{5} + \frac{1}{3} \, A b x^{3}"," ",0,"1/7*B*c*x^7 + 1/5*(B*b + A*c)*x^5 + 1/3*A*b*x^3","A",0
4,1,27,0,1.307027," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x,x, algorithm=""maxima"")","\frac{1}{6} \, B c x^{6} + \frac{1}{4} \, {\left(B b + A c\right)} x^{4} + \frac{1}{2} \, A b x^{2}"," ",0,"1/6*B*c*x^6 + 1/4*(B*b + A*c)*x^4 + 1/2*A*b*x^2","A",0
5,1,24,0,1.406499," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^2,x, algorithm=""maxima"")","\frac{1}{5} \, B c x^{5} + \frac{1}{3} \, {\left(B b + A c\right)} x^{3} + A b x"," ",0,"1/5*B*c*x^5 + 1/3*(B*b + A*c)*x^3 + A*b*x","A",0
6,1,28,0,1.334206," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^3,x, algorithm=""maxima"")","\frac{1}{4} \, B c x^{4} + \frac{1}{2} \, {\left(B b + A c\right)} x^{2} + \frac{1}{2} \, A b \log\left(x^{2}\right)"," ",0,"1/4*B*c*x^4 + 1/2*(B*b + A*c)*x^2 + 1/2*A*b*log(x^2)","A",0
7,1,24,0,1.325380," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, B c x^{3} + {\left(B b + A c\right)} x - \frac{A b}{x}"," ",0,"1/3*B*c*x^3 + (B*b + A*c)*x - A*b/x","A",0
8,1,28,0,1.316244," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, B c x^{2} + \frac{1}{2} \, {\left(B b + A c\right)} \log\left(x^{2}\right) - \frac{A b}{2 \, x^{2}}"," ",0,"1/2*B*c*x^2 + 1/2*(B*b + A*c)*log(x^2) - 1/2*A*b/x^2","A",0
9,1,26,0,1.344961," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^6,x, algorithm=""maxima"")","B c x - \frac{3 \, {\left(B b + A c\right)} x^{2} + A b}{3 \, x^{3}}"," ",0,"B*c*x - 1/3*(3*(B*b + A*c)*x^2 + A*b)/x^3","A",0
10,1,30,0,1.395503," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^7,x, algorithm=""maxima"")","\frac{1}{2} \, B c \log\left(x^{2}\right) - \frac{2 \, {\left(B b + A c\right)} x^{2} + A b}{4 \, x^{4}}"," ",0,"1/2*B*c*log(x^2) - 1/4*(2*(B*b + A*c)*x^2 + A*b)/x^4","A",0
11,1,29,0,1.347474," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^8,x, algorithm=""maxima"")","-\frac{15 \, B c x^{4} + 5 \, {\left(B b + A c\right)} x^{2} + 3 \, A b}{15 \, x^{5}}"," ",0,"-1/15*(15*B*c*x^4 + 5*(B*b + A*c)*x^2 + 3*A*b)/x^5","A",0
12,1,51,0,1.333111," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{2} x^{11} + \frac{1}{9} \, {\left(2 \, B b c + A c^{2}\right)} x^{9} + \frac{1}{5} \, A b^{2} x^{5} + \frac{1}{7} \, {\left(B b^{2} + 2 \, A b c\right)} x^{7}"," ",0,"1/11*B*c^2*x^11 + 1/9*(2*B*b*c + A*c^2)*x^9 + 1/5*A*b^2*x^5 + 1/7*(B*b^2 + 2*A*b*c)*x^7","A",0
13,1,51,0,1.373831," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{2} x^{10} + \frac{1}{8} \, {\left(2 \, B b c + A c^{2}\right)} x^{8} + \frac{1}{4} \, A b^{2} x^{4} + \frac{1}{6} \, {\left(B b^{2} + 2 \, A b c\right)} x^{6}"," ",0,"1/10*B*c^2*x^10 + 1/8*(2*B*b*c + A*c^2)*x^8 + 1/4*A*b^2*x^4 + 1/6*(B*b^2 + 2*A*b*c)*x^6","A",0
14,1,51,0,1.321828," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^2,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{2} x^{9} + \frac{1}{7} \, {\left(2 \, B b c + A c^{2}\right)} x^{7} + \frac{1}{3} \, A b^{2} x^{3} + \frac{1}{5} \, {\left(B b^{2} + 2 \, A b c\right)} x^{5}"," ",0,"1/9*B*c^2*x^9 + 1/7*(2*B*b*c + A*c^2)*x^7 + 1/3*A*b^2*x^3 + 1/5*(B*b^2 + 2*A*b*c)*x^5","A",0
15,1,51,0,1.363425," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^3,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{2} x^{8} + \frac{1}{6} \, {\left(2 \, B b c + A c^{2}\right)} x^{6} + \frac{1}{2} \, A b^{2} x^{2} + \frac{1}{4} \, {\left(B b^{2} + 2 \, A b c\right)} x^{4}"," ",0,"1/8*B*c^2*x^8 + 1/6*(2*B*b*c + A*c^2)*x^6 + 1/2*A*b^2*x^2 + 1/4*(B*b^2 + 2*A*b*c)*x^4","A",0
16,1,48,0,1.244170," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^4,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{2} x^{7} + \frac{1}{5} \, {\left(2 \, B b c + A c^{2}\right)} x^{5} + A b^{2} x + \frac{1}{3} \, {\left(B b^{2} + 2 \, A b c\right)} x^{3}"," ",0,"1/7*B*c^2*x^7 + 1/5*(2*B*b*c + A*c^2)*x^5 + A*b^2*x + 1/3*(B*b^2 + 2*A*b*c)*x^3","A",0
17,1,52,0,1.337334," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^5,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{4} \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + \frac{1}{2} \, A b^{2} \log\left(x^{2}\right) + \frac{1}{2} \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}"," ",0,"1/6*B*c^2*x^6 + 1/4*(2*B*b*c + A*c^2)*x^4 + 1/2*A*b^2*log(x^2) + 1/2*(B*b^2 + 2*A*b*c)*x^2","A",0
18,1,48,0,1.294290," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^6,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{2} x^{5} + \frac{1}{3} \, {\left(2 \, B b c + A c^{2}\right)} x^{3} - \frac{A b^{2}}{x} + {\left(B b^{2} + 2 \, A b c\right)} x"," ",0,"1/5*B*c^2*x^5 + 1/3*(2*B*b*c + A*c^2)*x^3 - A*b^2/x + (B*b^2 + 2*A*b*c)*x","A",0
19,1,52,0,1.345210," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^7,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{2} x^{4} + \frac{1}{2} \, {\left(2 \, B b c + A c^{2}\right)} x^{2} + \frac{1}{2} \, {\left(B b^{2} + 2 \, A b c\right)} \log\left(x^{2}\right) - \frac{A b^{2}}{2 \, x^{2}}"," ",0,"1/4*B*c^2*x^4 + 1/2*(2*B*b*c + A*c^2)*x^2 + 1/2*(B*b^2 + 2*A*b*c)*log(x^2) - 1/2*A*b^2/x^2","A",0
20,1,50,0,1.318880," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^8,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{2} x^{3} + {\left(2 \, B b c + A c^{2}\right)} x - \frac{A b^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}}{3 \, x^{3}}"," ",0,"1/3*B*c^2*x^3 + (2*B*b*c + A*c^2)*x - 1/3*(A*b^2 + 3*(B*b^2 + 2*A*b*c)*x^2)/x^3","A",0
21,1,54,0,1.372238," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^9,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{2} x^{2} + \frac{1}{2} \, {\left(2 \, B b c + A c^{2}\right)} \log\left(x^{2}\right) - \frac{A b^{2} + 2 \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}}{4 \, x^{4}}"," ",0,"1/2*B*c^2*x^2 + 1/2*(2*B*b*c + A*c^2)*log(x^2) - 1/4*(A*b^2 + 2*(B*b^2 + 2*A*b*c)*x^2)/x^4","A",0
22,1,51,0,1.389205," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^10,x, algorithm=""maxima"")","B c^{2} x - \frac{15 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 3 \, A b^{2} + 5 \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}}{15 \, x^{5}}"," ",0,"B*c^2*x - 1/15*(15*(2*B*b*c + A*c^2)*x^4 + 3*A*b^2 + 5*(B*b^2 + 2*A*b*c)*x^2)/x^5","A",0
23,1,55,0,1.273137," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^11,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{2} \log\left(x^{2}\right) - \frac{6 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 2 \, A b^{2} + 3 \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}}{12 \, x^{6}}"," ",0,"1/2*B*c^2*log(x^2) - 1/12*(6*(2*B*b*c + A*c^2)*x^4 + 2*A*b^2 + 3*(B*b^2 + 2*A*b*c)*x^2)/x^6","A",0
24,1,53,0,1.370137," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^12,x, algorithm=""maxima"")","-\frac{105 \, B c^{2} x^{6} + 35 \, {\left(2 \, B b c + A c^{2}\right)} x^{4} + 15 \, A b^{2} + 21 \, {\left(B b^{2} + 2 \, A b c\right)} x^{2}}{105 \, x^{7}}"," ",0,"-1/105*(105*B*c^2*x^6 + 35*(2*B*b*c + A*c^2)*x^4 + 15*A*b^2 + 21*(B*b^2 + 2*A*b*c)*x^2)/x^7","A",0
25,1,73,0,1.343505," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^2,x, algorithm=""maxima"")","\frac{1}{13} \, B c^{3} x^{13} + \frac{1}{11} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{11} + \frac{1}{3} \, {\left(B b^{2} c + A b c^{2}\right)} x^{9} + \frac{1}{5} \, A b^{3} x^{5} + \frac{1}{7} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{7}"," ",0,"1/13*B*c^3*x^13 + 1/11*(3*B*b*c^2 + A*c^3)*x^11 + 1/3*(B*b^2*c + A*b*c^2)*x^9 + 1/5*A*b^3*x^5 + 1/7*(B*b^3 + 3*A*b^2*c)*x^7","A",0
26,1,73,0,1.316988," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^3,x, algorithm=""maxima"")","\frac{1}{12} \, B c^{3} x^{12} + \frac{1}{10} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{10} + \frac{3}{8} \, {\left(B b^{2} c + A b c^{2}\right)} x^{8} + \frac{1}{4} \, A b^{3} x^{4} + \frac{1}{6} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{6}"," ",0,"1/12*B*c^3*x^12 + 1/10*(3*B*b*c^2 + A*c^3)*x^10 + 3/8*(B*b^2*c + A*b*c^2)*x^8 + 1/4*A*b^3*x^4 + 1/6*(B*b^3 + 3*A*b^2*c)*x^6","A",0
27,1,73,0,1.366600," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^4,x, algorithm=""maxima"")","\frac{1}{11} \, B c^{3} x^{11} + \frac{1}{9} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{9} + \frac{3}{7} \, {\left(B b^{2} c + A b c^{2}\right)} x^{7} + \frac{1}{3} \, A b^{3} x^{3} + \frac{1}{5} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{5}"," ",0,"1/11*B*c^3*x^11 + 1/9*(3*B*b*c^2 + A*c^3)*x^9 + 3/7*(B*b^2*c + A*b*c^2)*x^7 + 1/3*A*b^3*x^3 + 1/5*(B*b^3 + 3*A*b^2*c)*x^5","A",0
28,1,73,0,1.444521," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^5,x, algorithm=""maxima"")","\frac{1}{10} \, B c^{3} x^{10} + \frac{1}{8} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{8} + \frac{1}{2} \, {\left(B b^{2} c + A b c^{2}\right)} x^{6} + \frac{1}{2} \, A b^{3} x^{2} + \frac{1}{4} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{4}"," ",0,"1/10*B*c^3*x^10 + 1/8*(3*B*b*c^2 + A*c^3)*x^8 + 1/2*(B*b^2*c + A*b*c^2)*x^6 + 1/2*A*b^3*x^2 + 1/4*(B*b^3 + 3*A*b^2*c)*x^4","A",0
29,1,70,0,1.280986," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^6,x, algorithm=""maxima"")","\frac{1}{9} \, B c^{3} x^{9} + \frac{1}{7} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{7} + \frac{3}{5} \, {\left(B b^{2} c + A b c^{2}\right)} x^{5} + A b^{3} x + \frac{1}{3} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{3}"," ",0,"1/9*B*c^3*x^9 + 1/7*(3*B*b*c^2 + A*c^3)*x^7 + 3/5*(B*b^2*c + A*b*c^2)*x^5 + A*b^3*x + 1/3*(B*b^3 + 3*A*b^2*c)*x^3","A",0
30,1,74,0,1.314621," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^7,x, algorithm=""maxima"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{6} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + \frac{3}{4} \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + \frac{1}{2} \, A b^{3} \log\left(x^{2}\right) + \frac{1}{2} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}"," ",0,"1/8*B*c^3*x^8 + 1/6*(3*B*b*c^2 + A*c^3)*x^6 + 3/4*(B*b^2*c + A*b*c^2)*x^4 + 1/2*A*b^3*log(x^2) + 1/2*(B*b^3 + 3*A*b^2*c)*x^2","A",0
31,1,69,0,1.336656," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^8,x, algorithm=""maxima"")","\frac{1}{7} \, B c^{3} x^{7} + \frac{1}{5} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{5} + {\left(B b^{2} c + A b c^{2}\right)} x^{3} - \frac{A b^{3}}{x} + {\left(B b^{3} + 3 \, A b^{2} c\right)} x"," ",0,"1/7*B*c^3*x^7 + 1/5*(3*B*b*c^2 + A*c^3)*x^5 + (B*b^2*c + A*b*c^2)*x^3 - A*b^3/x + (B*b^3 + 3*A*b^2*c)*x","A",0
32,1,74,0,1.301343," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^9,x, algorithm=""maxima"")","\frac{1}{6} \, B c^{3} x^{6} + \frac{1}{4} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{4} + \frac{3}{2} \, {\left(B b^{2} c + A b c^{2}\right)} x^{2} - \frac{A b^{3}}{2 \, x^{2}} + \frac{1}{2} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} \log\left(x^{2}\right)"," ",0,"1/6*B*c^3*x^6 + 1/4*(3*B*b*c^2 + A*c^3)*x^4 + 3/2*(B*b^2*c + A*b*c^2)*x^2 - 1/2*A*b^3/x^2 + 1/2*(B*b^3 + 3*A*b^2*c)*log(x^2)","A",0
33,1,73,0,1.330644," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^10,x, algorithm=""maxima"")","\frac{1}{5} \, B c^{3} x^{5} + \frac{1}{3} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{3} + 3 \, {\left(B b^{2} c + A b c^{2}\right)} x - \frac{A b^{3} + 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{3 \, x^{3}}"," ",0,"1/5*B*c^3*x^5 + 1/3*(3*B*b*c^2 + A*c^3)*x^3 + 3*(B*b^2*c + A*b*c^2)*x - 1/3*(A*b^3 + 3*(B*b^3 + 3*A*b^2*c)*x^2)/x^3","A",0
34,1,76,0,1.283893," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^11,x, algorithm=""maxima"")","\frac{1}{4} \, B c^{3} x^{4} + \frac{1}{2} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{2} + \frac{3}{2} \, {\left(B b^{2} c + A b c^{2}\right)} \log\left(x^{2}\right) - \frac{A b^{3} + 2 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{4 \, x^{4}}"," ",0,"1/4*B*c^3*x^4 + 1/2*(3*B*b*c^2 + A*c^3)*x^2 + 3/2*(B*b^2*c + A*b*c^2)*log(x^2) - 1/4*(A*b^3 + 2*(B*b^3 + 3*A*b^2*c)*x^2)/x^4","A",0
35,1,73,0,1.325503," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^12,x, algorithm=""maxima"")","\frac{1}{3} \, B c^{3} x^{3} + {\left(3 \, B b c^{2} + A c^{3}\right)} x - \frac{45 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 3 \, A b^{3} + 5 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{15 \, x^{5}}"," ",0,"1/3*B*c^3*x^3 + (3*B*b*c^2 + A*c^3)*x - 1/15*(45*(B*b^2*c + A*b*c^2)*x^4 + 3*A*b^3 + 5*(B*b^3 + 3*A*b^2*c)*x^2)/x^5","A",0
36,1,77,0,1.442400," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^13,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{3} x^{2} + \frac{1}{2} \, {\left(3 \, B b c^{2} + A c^{3}\right)} \log\left(x^{2}\right) - \frac{18 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 2 \, A b^{3} + 3 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{12 \, x^{6}}"," ",0,"1/2*B*c^3*x^2 + 1/2*(3*B*b*c^2 + A*c^3)*log(x^2) - 1/12*(18*(B*b^2*c + A*b*c^2)*x^4 + 2*A*b^3 + 3*(B*b^3 + 3*A*b^2*c)*x^2)/x^6","A",0
37,1,73,0,1.301492," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^14,x, algorithm=""maxima"")","B c^{3} x - \frac{35 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 35 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 5 \, A b^{3} + 7 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{35 \, x^{7}}"," ",0,"B*c^3*x - 1/35*(35*(3*B*b*c^2 + A*c^3)*x^6 + 35*(B*b^2*c + A*b*c^2)*x^4 + 5*A*b^3 + 7*(B*b^3 + 3*A*b^2*c)*x^2)/x^7","A",0
38,1,77,0,1.322385," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^15,x, algorithm=""maxima"")","\frac{1}{2} \, B c^{3} \log\left(x^{2}\right) - \frac{12 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 18 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 3 \, A b^{3} + 4 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{24 \, x^{8}}"," ",0,"1/2*B*c^3*log(x^2) - 1/24*(12*(3*B*b*c^2 + A*c^3)*x^6 + 18*(B*b^2*c + A*b*c^2)*x^4 + 3*A*b^3 + 4*(B*b^3 + 3*A*b^2*c)*x^2)/x^8","A",0
39,1,75,0,1.383437," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^16,x, algorithm=""maxima"")","-\frac{315 \, B c^{3} x^{8} + 105 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 189 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 35 \, A b^{3} + 45 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{315 \, x^{9}}"," ",0,"-1/315*(315*B*c^3*x^8 + 105*(3*B*b*c^2 + A*c^3)*x^6 + 189*(B*b^2*c + A*b*c^2)*x^4 + 35*A*b^3 + 45*(B*b^3 + 3*A*b^2*c)*x^2)/x^9","A",0
40,1,75,0,1.327684," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^17,x, algorithm=""maxima"")","-\frac{20 \, B c^{3} x^{8} + 10 \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{6} + 20 \, {\left(B b^{2} c + A b c^{2}\right)} x^{4} + 4 \, A b^{3} + 5 \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{2}}{40 \, x^{10}}"," ",0,"-1/40*(20*B*c^3*x^8 + 10*(3*B*b*c^2 + A*c^3)*x^6 + 20*(B*b^2*c + A*b*c^2)*x^4 + 4*A*b^3 + 5*(B*b^3 + 3*A*b^2*c)*x^2)/x^10","A",0
41,1,124,0,3.004608," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b^{5} - A b^{4} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} c^{5}} + \frac{35 \, B c^{4} x^{9} - 45 \, {\left(B b c^{3} - A c^{4}\right)} x^{7} + 63 \, {\left(B b^{2} c^{2} - A b c^{3}\right)} x^{5} - 105 \, {\left(B b^{3} c - A b^{2} c^{2}\right)} x^{3} + 315 \, {\left(B b^{4} - A b^{3} c\right)} x}{315 \, c^{5}}"," ",0,"-(B*b^5 - A*b^4*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) + 1/315*(35*B*c^4*x^9 - 45*(B*b*c^3 - A*c^4)*x^7 + 63*(B*b^2*c^2 - A*b*c^3)*x^5 - 105*(B*b^3*c - A*b^2*c^2)*x^3 + 315*(B*b^4 - A*b^3*c)*x)/c^5","A",0
42,1,97,0,1.380100," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{3 \, B c^{3} x^{8} - 4 \, {\left(B b c^{2} - A c^{3}\right)} x^{6} + 6 \, {\left(B b^{2} c - A b c^{2}\right)} x^{4} - 12 \, {\left(B b^{3} - A b^{2} c\right)} x^{2}}{24 \, c^{4}} + \frac{{\left(B b^{4} - A b^{3} c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{5}}"," ",0,"1/24*(3*B*c^3*x^8 - 4*(B*b*c^2 - A*c^3)*x^6 + 6*(B*b^2*c - A*b*c^2)*x^4 - 12*(B*b^3 - A*b^2*c)*x^2)/c^4 + 1/2*(B*b^4 - A*b^3*c)*log(c*x^2 + b)/c^5","A",0
43,1,100,0,2.940058," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b^{4} - A b^{3} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} c^{4}} + \frac{15 \, B c^{3} x^{7} - 21 \, {\left(B b c^{2} - A c^{3}\right)} x^{5} + 35 \, {\left(B b^{2} c - A b c^{2}\right)} x^{3} - 105 \, {\left(B b^{3} - A b^{2} c\right)} x}{105 \, c^{4}}"," ",0,"(B*b^4 - A*b^3*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) + 1/105*(15*B*c^3*x^7 - 21*(B*b*c^2 - A*c^3)*x^5 + 35*(B*b^2*c - A*b*c^2)*x^3 - 105*(B*b^3 - A*b^2*c)*x)/c^4","A",0
44,1,74,0,1.337420," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2 \, B c^{2} x^{6} - 3 \, {\left(B b c - A c^{2}\right)} x^{4} + 6 \, {\left(B b^{2} - A b c\right)} x^{2}}{12 \, c^{3}} - \frac{{\left(B b^{3} - A b^{2} c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{4}}"," ",0,"1/12*(2*B*c^2*x^6 - 3*(B*b*c - A*c^2)*x^4 + 6*(B*b^2 - A*b*c)*x^2)/c^3 - 1/2*(B*b^3 - A*b^2*c)*log(c*x^2 + b)/c^4","A",0
45,1,78,0,2.863501," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b^{3} - A b^{2} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} c^{3}} + \frac{3 \, B c^{2} x^{5} - 5 \, {\left(B b c - A c^{2}\right)} x^{3} + 15 \, {\left(B b^{2} - A b c\right)} x}{15 \, c^{3}}"," ",0,"-(B*b^3 - A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3) + 1/15*(3*B*c^2*x^5 - 5*(B*b*c - A*c^2)*x^3 + 15*(B*b^2 - A*b*c)*x)/c^3","A",0
46,1,50,0,1.325872," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{B c x^{4} - 2 \, {\left(B b - A c\right)} x^{2}}{4 \, c^{2}} + \frac{{\left(B b^{2} - A b c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{3}}"," ",0,"1/4*(B*c*x^4 - 2*(B*b - A*c)*x^2)/c^2 + 1/2*(B*b^2 - A*b*c)*log(c*x^2 + b)/c^3","A",0
47,1,53,0,2.858929," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b^{2} - A b c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} c^{2}} + \frac{B c x^{3} - 3 \, {\left(B b - A c\right)} x}{3 \, c^{2}}"," ",0,"(B*b^2 - A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^2) + 1/3*(B*c*x^3 - 3*(B*b - A*c)*x)/c^2","A",0
48,1,31,0,1.299149," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{B x^{2}}{2 \, c} - \frac{{\left(B b - A c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{2}}"," ",0,"1/2*B*x^2/c - 1/2*(B*b - A*c)*log(c*x^2 + b)/c^2","A",0
49,1,34,0,2.924184," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{B x}{c} - \frac{{\left(B b - A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} c}"," ",0,"B*x/c - (B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c)","A",0
50,1,35,0,1.342803," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{A \log\left(x^{2}\right)}{2 \, b} + \frac{{\left(B b - A c\right)} \log\left(c x^{2} + b\right)}{2 \, b c}"," ",0,"1/2*A*log(x^2)/b + 1/2*(B*b - A*c)*log(c*x^2 + b)/(b*c)","A",0
51,1,36,0,2.944331," ","integrate((B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} b} - \frac{A}{b x}"," ",0,"(B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b) - A/(b*x)","A",0
52,1,51,0,3.061808," ","integrate((B*x^2+A)/(-c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b + A c\right)} \log\left(\frac{c x - \sqrt{b c}}{c x + \sqrt{b c}}\right)}{2 \, \sqrt{b c} b} - \frac{A}{b x}"," ",0,"-1/2*(B*b + A*c)*log((c*x - sqrt(b*c))/(c*x + sqrt(b*c)))/(sqrt(b*c)*b) - A/(b*x)","A",0
53,1,48,0,1.318640," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b - A c\right)} \log\left(c x^{2} + b\right)}{2 \, b^{2}} + \frac{{\left(B b - A c\right)} \log\left(x^{2}\right)}{2 \, b^{2}} - \frac{A}{2 \, b x^{2}}"," ",0,"-1/2*(B*b - A*c)*log(c*x^2 + b)/b^2 + 1/2*(B*b - A*c)*log(x^2)/b^2 - 1/2*A/(b*x^2)","A",0
54,1,56,0,2.815064," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b c - A c^{2}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} b^{2}} - \frac{3 \, {\left(B b - A c\right)} x^{2} + A b}{3 \, b^{2} x^{3}}"," ",0,"-(B*b*c - A*c^2)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^2) - 1/3*(3*(B*b - A*c)*x^2 + A*b)/(b^2*x^3)","A",0
55,1,70,0,1.376567," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b c - A c^{2}\right)} \log\left(c x^{2} + b\right)}{2 \, b^{3}} - \frac{{\left(B b c - A c^{2}\right)} \log\left(x^{2}\right)}{2 \, b^{3}} - \frac{2 \, {\left(B b - A c\right)} x^{2} + A b}{4 \, b^{2} x^{4}}"," ",0,"1/2*(B*b*c - A*c^2)*log(c*x^2 + b)/b^3 - 1/2*(B*b*c - A*c^2)*log(x^2)/b^3 - 1/4*(2*(B*b - A*c)*x^2 + A*b)/(b^2*x^4)","A",0
56,1,79,0,3.047965," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b c^{2} - A c^{3}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{\sqrt{b c} b^{3}} + \frac{15 \, {\left(B b c - A c^{2}\right)} x^{4} - 3 \, A b^{2} - 5 \, {\left(B b^{2} - A b c\right)} x^{2}}{15 \, b^{3} x^{5}}"," ",0,"(B*b*c^2 - A*c^3)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^3) + 1/15*(15*(B*b*c - A*c^2)*x^4 - 3*A*b^2 - 5*(B*b^2 - A*b*c)*x^2)/(b^3*x^5)","A",0
57,1,96,0,1.280212," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b c^{2} - A c^{3}\right)} \log\left(c x^{2} + b\right)}{2 \, b^{4}} + \frac{{\left(B b c^{2} - A c^{3}\right)} \log\left(x^{2}\right)}{2 \, b^{4}} + \frac{6 \, {\left(B b c - A c^{2}\right)} x^{4} - 2 \, A b^{2} - 3 \, {\left(B b^{2} - A b c\right)} x^{2}}{12 \, b^{3} x^{6}}"," ",0,"-1/2*(B*b*c^2 - A*c^3)*log(c*x^2 + b)/b^4 + 1/2*(B*b*c^2 - A*c^3)*log(x^2)/b^4 + 1/12*(6*(B*b*c - A*c^2)*x^4 - 2*A*b^2 - 3*(B*b^2 - A*b*c)*x^2)/(b^3*x^6)","A",0
58,1,136,0,2.940389," ","integrate(x^12*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{4} - A b^{3} c\right)} x}{2 \, {\left(c^{6} x^{2} + b c^{5}\right)}} + \frac{{\left(9 \, B b^{4} - 7 \, A b^{3} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} c^{5}} + \frac{15 \, B c^{3} x^{7} - 21 \, {\left(2 \, B b c^{2} - A c^{3}\right)} x^{5} + 35 \, {\left(3 \, B b^{2} c - 2 \, A b c^{2}\right)} x^{3} - 105 \, {\left(4 \, B b^{3} - 3 \, A b^{2} c\right)} x}{105 \, c^{5}}"," ",0,"-1/2*(B*b^4 - A*b^3*c)*x/(c^6*x^2 + b*c^5) + 1/2*(9*B*b^4 - 7*A*b^3*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) + 1/105*(15*B*c^3*x^7 - 21*(2*B*b*c^2 - A*c^3)*x^5 + 35*(3*B*b^2*c - 2*A*b*c^2)*x^3 - 105*(4*B*b^3 - 3*A*b^2*c)*x)/c^5","A",0
59,1,107,0,1.380140," ","integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{B b^{4} - A b^{3} c}{2 \, {\left(c^{6} x^{2} + b c^{5}\right)}} + \frac{2 \, B c^{2} x^{6} - 3 \, {\left(2 \, B b c - A c^{2}\right)} x^{4} + 6 \, {\left(3 \, B b^{2} - 2 \, A b c\right)} x^{2}}{12 \, c^{4}} - \frac{{\left(4 \, B b^{3} - 3 \, A b^{2} c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{5}}"," ",0,"-1/2*(B*b^4 - A*b^3*c)/(c^6*x^2 + b*c^5) + 1/12*(2*B*c^2*x^6 - 3*(2*B*b*c - A*c^2)*x^4 + 6*(3*B*b^2 - 2*A*b*c)*x^2)/c^4 - 1/2*(4*B*b^3 - 3*A*b^2*c)*log(c*x^2 + b)/c^5","A",0
60,1,112,0,3.020034," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b^{3} - A b^{2} c\right)} x}{2 \, {\left(c^{5} x^{2} + b c^{4}\right)}} - \frac{{\left(7 \, B b^{3} - 5 \, A b^{2} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} c^{4}} + \frac{3 \, B c^{2} x^{5} - 5 \, {\left(2 \, B b c - A c^{2}\right)} x^{3} + 15 \, {\left(3 \, B b^{2} - 2 \, A b c\right)} x}{15 \, c^{4}}"," ",0,"1/2*(B*b^3 - A*b^2*c)*x/(c^5*x^2 + b*c^4) - 1/2*(7*B*b^3 - 5*A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) + 1/15*(3*B*c^2*x^5 - 5*(2*B*b*c - A*c^2)*x^3 + 15*(3*B*b^2 - 2*A*b*c)*x)/c^4","A",0
61,1,82,0,1.322007," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{B b^{3} - A b^{2} c}{2 \, {\left(c^{5} x^{2} + b c^{4}\right)}} + \frac{B c x^{4} - 2 \, {\left(2 \, B b - A c\right)} x^{2}}{4 \, c^{3}} + \frac{{\left(3 \, B b^{2} - 2 \, A b c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{4}}"," ",0,"1/2*(B*b^3 - A*b^2*c)/(c^5*x^2 + b*c^4) + 1/4*(B*c*x^4 - 2*(2*B*b - A*c)*x^2)/c^3 + 1/2*(3*B*b^2 - 2*A*b*c)*log(c*x^2 + b)/c^4","A",0
62,1,85,0,3.026122," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{2} - A b c\right)} x}{2 \, {\left(c^{4} x^{2} + b c^{3}\right)}} + \frac{{\left(5 \, B b^{2} - 3 \, A b c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} c^{3}} + \frac{B c x^{3} - 3 \, {\left(2 \, B b - A c\right)} x}{3 \, c^{3}}"," ",0,"-1/2*(B*b^2 - A*b*c)*x/(c^4*x^2 + b*c^3) + 1/2*(5*B*b^2 - 3*A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3) + 1/3*(B*c*x^3 - 3*(2*B*b - A*c)*x)/c^3","A",0
63,1,60,0,1.309837," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{B x^{2}}{2 \, c^{2}} - \frac{B b^{2} - A b c}{2 \, {\left(c^{4} x^{2} + b c^{3}\right)}} - \frac{{\left(2 \, B b - A c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{3}}"," ",0,"1/2*B*x^2/c^2 - 1/2*(B*b^2 - A*b*c)/(c^4*x^2 + b*c^3) - 1/2*(2*B*b - A*c)*log(c*x^2 + b)/c^3","A",0
64,1,61,0,2.999156," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} x}{2 \, {\left(c^{3} x^{2} + b c^{2}\right)}} + \frac{B x}{c^{2}} - \frac{{\left(3 \, B b - A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} c^{2}}"," ",0,"1/2*(B*b - A*c)*x/(c^3*x^2 + b*c^2) + B*x/c^2 - 1/2*(3*B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^2)","A",0
65,1,40,0,1.310920," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{B b - A c}{2 \, {\left(c^{3} x^{2} + b c^{2}\right)}} + \frac{B \log\left(c x^{2} + b\right)}{2 \, c^{2}}"," ",0,"1/2*(B*b - A*c)/(c^3*x^2 + b*c^2) + 1/2*B*log(c*x^2 + b)/c^2","A",0
66,1,57,0,2.964698," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b - A c\right)} x}{2 \, {\left(b c^{2} x^{2} + b^{2} c\right)}} + \frac{{\left(B b + A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b c}"," ",0,"-1/2*(B*b - A*c)*x/(b*c^2*x^2 + b^2*c) + 1/2*(B*b + A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b*c)","A",0
67,1,51,0,1.314442," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{B b - A c}{2 \, {\left(b c^{2} x^{2} + b^{2} c\right)}} - \frac{A \log\left(c x^{2} + b\right)}{2 \, b^{2}} + \frac{A \log\left(x^{2}\right)}{2 \, b^{2}}"," ",0,"-1/2*(B*b - A*c)/(b*c^2*x^2 + b^2*c) - 1/2*A*log(c*x^2 + b)/b^2 + 1/2*A*log(x^2)/b^2","A",0
68,1,63,0,2.976530," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - 3 \, A c\right)} x^{2} - 2 \, A b}{2 \, {\left(b^{2} c x^{3} + b^{3} x\right)}} + \frac{{\left(B b - 3 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b^{2}}"," ",0,"1/2*((B*b - 3*A*c)*x^2 - 2*A*b)/(b^2*c*x^3 + b^3*x) + 1/2*(B*b - 3*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^2)","A",0
69,1,76,0,1.332412," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - 2 \, A c\right)} x^{2} - A b}{2 \, {\left(b^{2} c x^{4} + b^{3} x^{2}\right)}} - \frac{{\left(B b - 2 \, A c\right)} \log\left(c x^{2} + b\right)}{2 \, b^{3}} + \frac{{\left(B b - 2 \, A c\right)} \log\left(x^{2}\right)}{2 \, b^{3}}"," ",0,"1/2*((B*b - 2*A*c)*x^2 - A*b)/(b^2*c*x^4 + b^3*x^2) - 1/2*(B*b - 2*A*c)*log(c*x^2 + b)/b^3 + 1/2*(B*b - 2*A*c)*log(x^2)/b^3","A",0
70,1,93,0,3.003940," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{3 \, {\left(3 \, B b c - 5 \, A c^{2}\right)} x^{4} + 2 \, A b^{2} + 2 \, {\left(3 \, B b^{2} - 5 \, A b c\right)} x^{2}}{6 \, {\left(b^{3} c x^{5} + b^{4} x^{3}\right)}} - \frac{{\left(3 \, B b c - 5 \, A c^{2}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b^{3}}"," ",0,"-1/6*(3*(3*B*b*c - 5*A*c^2)*x^4 + 2*A*b^2 + 2*(3*B*b^2 - 5*A*b*c)*x^2)/(b^3*c*x^5 + b^4*x^3) - 1/2*(3*B*b*c - 5*A*c^2)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^3)","A",0
71,1,106,0,1.328223," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{2 \, {\left(2 \, B b c - 3 \, A c^{2}\right)} x^{4} + A b^{2} + {\left(2 \, B b^{2} - 3 \, A b c\right)} x^{2}}{4 \, {\left(b^{3} c x^{6} + b^{4} x^{4}\right)}} + \frac{{\left(2 \, B b c - 3 \, A c^{2}\right)} \log\left(c x^{2} + b\right)}{2 \, b^{4}} - \frac{{\left(2 \, B b c - 3 \, A c^{2}\right)} \log\left(x^{2}\right)}{2 \, b^{4}}"," ",0,"-1/4*(2*(2*B*b*c - 3*A*c^2)*x^4 + A*b^2 + (2*B*b^2 - 3*A*b*c)*x^2)/(b^3*c*x^6 + b^4*x^4) + 1/2*(2*B*b*c - 3*A*c^2)*log(c*x^2 + b)/b^4 - 1/2*(2*B*b*c - 3*A*c^2)*log(x^2)/b^4","A",0
72,1,119,0,2.942293," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{15 \, {\left(5 \, B b c^{2} - 7 \, A c^{3}\right)} x^{6} + 10 \, {\left(5 \, B b^{2} c - 7 \, A b c^{2}\right)} x^{4} - 6 \, A b^{3} - 2 \, {\left(5 \, B b^{3} - 7 \, A b^{2} c\right)} x^{2}}{30 \, {\left(b^{4} c x^{7} + b^{5} x^{5}\right)}} + \frac{{\left(5 \, B b c^{2} - 7 \, A c^{3}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b^{4}}"," ",0,"1/30*(15*(5*B*b*c^2 - 7*A*c^3)*x^6 + 10*(5*B*b^2*c - 7*A*b*c^2)*x^4 - 6*A*b^3 - 2*(5*B*b^3 - 7*A*b^2*c)*x^2)/(b^4*c*x^7 + b^5*x^5) + 1/2*(5*B*b*c^2 - 7*A*c^3)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^4)","A",0
73,1,147,0,2.896822," ","integrate(x^14*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(17 \, B b^{3} c - 13 \, A b^{2} c^{2}\right)} x^{3} + {\left(15 \, B b^{4} - 11 \, A b^{3} c\right)} x}{8 \, {\left(c^{7} x^{4} + 2 \, b c^{6} x^{2} + b^{2} c^{5}\right)}} - \frac{7 \, {\left(9 \, B b^{3} - 5 \, A b^{2} c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} c^{5}} + \frac{3 \, B c^{2} x^{5} - 5 \, {\left(3 \, B b c - A c^{2}\right)} x^{3} + 45 \, {\left(2 \, B b^{2} - A b c\right)} x}{15 \, c^{5}}"," ",0,"1/8*((17*B*b^3*c - 13*A*b^2*c^2)*x^3 + (15*B*b^4 - 11*A*b^3*c)*x)/(c^7*x^4 + 2*b*c^6*x^2 + b^2*c^5) - 7/8*(9*B*b^3 - 5*A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) + 1/15*(3*B*c^2*x^5 - 5*(3*B*b*c - A*c^2)*x^3 + 45*(2*B*b^2 - A*b*c)*x)/c^5","A",0
74,1,116,0,1.412245," ","integrate(x^13*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{7 \, B b^{4} - 5 \, A b^{3} c + 2 \, {\left(4 \, B b^{3} c - 3 \, A b^{2} c^{2}\right)} x^{2}}{4 \, {\left(c^{7} x^{4} + 2 \, b c^{6} x^{2} + b^{2} c^{5}\right)}} + \frac{B c x^{4} - 2 \, {\left(3 \, B b - A c\right)} x^{2}}{4 \, c^{4}} + \frac{3 \, {\left(2 \, B b^{2} - A b c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{5}}"," ",0,"1/4*(7*B*b^4 - 5*A*b^3*c + 2*(4*B*b^3*c - 3*A*b^2*c^2)*x^2)/(c^7*x^4 + 2*b*c^6*x^2 + b^2*c^5) + 1/4*(B*c*x^4 - 2*(3*B*b - A*c)*x^2)/c^4 + 3/2*(2*B*b^2 - A*b*c)*log(c*x^2 + b)/c^5","A",0
75,1,120,0,3.016581," ","integrate(x^12*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{{\left(13 \, B b^{2} c - 9 \, A b c^{2}\right)} x^{3} + {\left(11 \, B b^{3} - 7 \, A b^{2} c\right)} x}{8 \, {\left(c^{6} x^{4} + 2 \, b c^{5} x^{2} + b^{2} c^{4}\right)}} + \frac{5 \, {\left(7 \, B b^{2} - 3 \, A b c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} c^{4}} + \frac{B c x^{3} - 3 \, {\left(3 \, B b - A c\right)} x}{3 \, c^{4}}"," ",0,"-1/8*((13*B*b^2*c - 9*A*b*c^2)*x^3 + (11*B*b^3 - 7*A*b^2*c)*x)/(c^6*x^4 + 2*b*c^5*x^2 + b^2*c^4) + 5/8*(7*B*b^2 - 3*A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) + 1/3*(B*c*x^3 - 3*(3*B*b - A*c)*x)/c^4","A",0
76,1,94,0,1.359822," ","integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{5 \, B b^{3} - 3 \, A b^{2} c + 2 \, {\left(3 \, B b^{2} c - 2 \, A b c^{2}\right)} x^{2}}{4 \, {\left(c^{6} x^{4} + 2 \, b c^{5} x^{2} + b^{2} c^{4}\right)}} + \frac{B x^{2}}{2 \, c^{3}} - \frac{{\left(3 \, B b - A c\right)} \log\left(c x^{2} + b\right)}{2 \, c^{4}}"," ",0,"-1/4*(5*B*b^3 - 3*A*b^2*c + 2*(3*B*b^2*c - 2*A*b*c^2)*x^2)/(c^6*x^4 + 2*b*c^5*x^2 + b^2*c^4) + 1/2*B*x^2/c^3 - 1/2*(3*B*b - A*c)*log(c*x^2 + b)/c^4","A",0
77,1,94,0,2.937956," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(9 \, B b c - 5 \, A c^{2}\right)} x^{3} + {\left(7 \, B b^{2} - 3 \, A b c\right)} x}{8 \, {\left(c^{5} x^{4} + 2 \, b c^{4} x^{2} + b^{2} c^{3}\right)}} + \frac{B x}{c^{3}} - \frac{3 \, {\left(5 \, B b - A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} c^{3}}"," ",0,"1/8*((9*B*b*c - 5*A*c^2)*x^3 + (7*B*b^2 - 3*A*b*c)*x)/(c^5*x^4 + 2*b*c^4*x^2 + b^2*c^3) + B*x/c^3 - 3/8*(5*B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3)","A",0
78,1,72,0,1.334805," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{3 \, B b^{2} - A b c + 2 \, {\left(2 \, B b c - A c^{2}\right)} x^{2}}{4 \, {\left(c^{5} x^{4} + 2 \, b c^{4} x^{2} + b^{2} c^{3}\right)}} + \frac{B \log\left(c x^{2} + b\right)}{2 \, c^{3}}"," ",0,"1/4*(3*B*b^2 - A*b*c + 2*(2*B*b*c - A*c^2)*x^2)/(c^5*x^4 + 2*b*c^4*x^2 + b^2*c^3) + 1/2*B*log(c*x^2 + b)/c^3","A",0
79,1,92,0,2.980185," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{{\left(5 \, B b c - A c^{2}\right)} x^{3} + {\left(3 \, B b^{2} + A b c\right)} x}{8 \, {\left(b c^{4} x^{4} + 2 \, b^{2} c^{3} x^{2} + b^{3} c^{2}\right)}} + \frac{{\left(3 \, B b + A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b c^{2}}"," ",0,"-1/8*((5*B*b*c - A*c^2)*x^3 + (3*B*b^2 + A*b*c)*x)/(b*c^4*x^4 + 2*b^2*c^3*x^2 + b^3*c^2) + 1/8*(3*B*b + A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b*c^2)","A",0
80,1,42,0,1.347708," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{2 \, B c x^{2} + B b + A c}{4 \, {\left(c^{4} x^{4} + 2 \, b c^{3} x^{2} + b^{2} c^{2}\right)}}"," ",0,"-1/4*(2*B*c*x^2 + B*b + A*c)/(c^4*x^4 + 2*b*c^3*x^2 + b^2*c^2)","A",0
81,1,92,0,2.949322," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(B b c + 3 \, A c^{2}\right)} x^{3} - {\left(B b^{2} - 5 \, A b c\right)} x}{8 \, {\left(b^{2} c^{3} x^{4} + 2 \, b^{3} c^{2} x^{2} + b^{4} c\right)}} + \frac{{\left(B b + 3 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{2} c}"," ",0,"1/8*((B*b*c + 3*A*c^2)*x^3 - (B*b^2 - 5*A*b*c)*x)/(b^2*c^3*x^4 + 2*b^3*c^2*x^2 + b^4*c) + 1/8*(B*b + 3*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^2*c)","A",0
82,1,77,0,1.415864," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{2 \, A c^{2} x^{2} - B b^{2} + 3 \, A b c}{4 \, {\left(b^{2} c^{3} x^{4} + 2 \, b^{3} c^{2} x^{2} + b^{4} c\right)}} - \frac{A \log\left(c x^{2} + b\right)}{2 \, b^{3}} + \frac{A \log\left(x^{2}\right)}{2 \, b^{3}}"," ",0,"1/4*(2*A*c^2*x^2 - B*b^2 + 3*A*b*c)/(b^2*c^3*x^4 + 2*b^3*c^2*x^2 + b^4*c) - 1/2*A*log(c*x^2 + b)/b^3 + 1/2*A*log(x^2)/b^3","A",0
83,1,96,0,2.966656," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{3 \, {\left(B b c - 5 \, A c^{2}\right)} x^{4} - 8 \, A b^{2} + 5 \, {\left(B b^{2} - 5 \, A b c\right)} x^{2}}{8 \, {\left(b^{3} c^{2} x^{5} + 2 \, b^{4} c x^{3} + b^{5} x\right)}} + \frac{3 \, {\left(B b - 5 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{3}}"," ",0,"1/8*(3*(B*b*c - 5*A*c^2)*x^4 - 8*A*b^2 + 5*(B*b^2 - 5*A*b*c)*x^2)/(b^3*c^2*x^5 + 2*b^4*c*x^3 + b^5*x) + 3/8*(B*b - 5*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^3)","A",0
84,1,109,0,1.373407," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(B b c - 3 \, A c^{2}\right)} x^{4} - 2 \, A b^{2} + 3 \, {\left(B b^{2} - 3 \, A b c\right)} x^{2}}{4 \, {\left(b^{3} c^{2} x^{6} + 2 \, b^{4} c x^{4} + b^{5} x^{2}\right)}} - \frac{{\left(B b - 3 \, A c\right)} \log\left(c x^{2} + b\right)}{2 \, b^{4}} + \frac{{\left(B b - 3 \, A c\right)} \log\left(x^{2}\right)}{2 \, b^{4}}"," ",0,"1/4*(2*(B*b*c - 3*A*c^2)*x^4 - 2*A*b^2 + 3*(B*b^2 - 3*A*b*c)*x^2)/(b^3*c^2*x^6 + 2*b^4*c*x^4 + b^5*x^2) - 1/2*(B*b - 3*A*c)*log(c*x^2 + b)/b^4 + 1/2*(B*b - 3*A*c)*log(x^2)/b^4","A",0
85,1,128,0,3.111364," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{15 \, {\left(3 \, B b c^{2} - 7 \, A c^{3}\right)} x^{6} + 25 \, {\left(3 \, B b^{2} c - 7 \, A b c^{2}\right)} x^{4} + 8 \, A b^{3} + 8 \, {\left(3 \, B b^{3} - 7 \, A b^{2} c\right)} x^{2}}{24 \, {\left(b^{4} c^{2} x^{7} + 2 \, b^{5} c x^{5} + b^{6} x^{3}\right)}} - \frac{5 \, {\left(3 \, B b c - 7 \, A c^{2}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{4}}"," ",0,"-1/24*(15*(3*B*b*c^2 - 7*A*c^3)*x^6 + 25*(3*B*b^2*c - 7*A*b*c^2)*x^4 + 8*A*b^3 + 8*(3*B*b^3 - 7*A*b^2*c)*x^2)/(b^4*c^2*x^7 + 2*b^5*c*x^5 + b^6*x^3) - 5/8*(3*B*b*c - 7*A*c^2)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^4)","A",0
86,1,137,0,1.428848," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{6 \, {\left(B b c^{2} - 2 \, A c^{3}\right)} x^{6} + 9 \, {\left(B b^{2} c - 2 \, A b c^{2}\right)} x^{4} + A b^{3} + 2 \, {\left(B b^{3} - 2 \, A b^{2} c\right)} x^{2}}{4 \, {\left(b^{4} c^{2} x^{8} + 2 \, b^{5} c x^{6} + b^{6} x^{4}\right)}} + \frac{3 \, {\left(B b c - 2 \, A c^{2}\right)} \log\left(c x^{2} + b\right)}{2 \, b^{5}} - \frac{3 \, {\left(B b c - 2 \, A c^{2}\right)} \log\left(x^{2}\right)}{2 \, b^{5}}"," ",0,"-1/4*(6*(B*b*c^2 - 2*A*c^3)*x^6 + 9*(B*b^2*c - 2*A*b*c^2)*x^4 + A*b^3 + 2*(B*b^3 - 2*A*b^2*c)*x^2)/(b^4*c^2*x^8 + 2*b^5*c*x^6 + b^6*x^4) + 3/2*(B*b*c - 2*A*c^2)*log(c*x^2 + b)/b^5 - 3/2*(B*b*c - 2*A*c^2)*log(x^2)/b^5","A",0
87,1,154,0,3.023942," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{105 \, {\left(5 \, B b c^{3} - 9 \, A c^{4}\right)} x^{8} + 175 \, {\left(5 \, B b^{2} c^{2} - 9 \, A b c^{3}\right)} x^{6} - 24 \, A b^{4} + 56 \, {\left(5 \, B b^{3} c - 9 \, A b^{2} c^{2}\right)} x^{4} - 8 \, {\left(5 \, B b^{4} - 9 \, A b^{3} c\right)} x^{2}}{120 \, {\left(b^{5} c^{2} x^{9} + 2 \, b^{6} c x^{7} + b^{7} x^{5}\right)}} + \frac{7 \, {\left(5 \, B b c^{2} - 9 \, A c^{3}\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{5}}"," ",0,"1/120*(105*(5*B*b*c^3 - 9*A*c^4)*x^8 + 175*(5*B*b^2*c^2 - 9*A*b*c^3)*x^6 - 24*A*b^4 + 56*(5*B*b^3*c - 9*A*b^2*c^2)*x^4 - 8*(5*B*b^4 - 9*A*b^3*c)*x^2)/(b^5*c^2*x^9 + 2*b^6*c*x^7 + b^7*x^5) + 7/8*(5*B*b*c^2 - 9*A*c^3)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^5)","A",0
88,1,170,0,1.433194," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{12 \, {\left(3 \, B b c^{3} - 5 \, A c^{4}\right)} x^{8} + 18 \, {\left(3 \, B b^{2} c^{2} - 5 \, A b c^{3}\right)} x^{6} - 2 \, A b^{4} + 4 \, {\left(3 \, B b^{3} c - 5 \, A b^{2} c^{2}\right)} x^{4} - {\left(3 \, B b^{4} - 5 \, A b^{3} c\right)} x^{2}}{12 \, {\left(b^{5} c^{2} x^{10} + 2 \, b^{6} c x^{8} + b^{7} x^{6}\right)}} - \frac{{\left(3 \, B b c^{2} - 5 \, A c^{3}\right)} \log\left(c x^{2} + b\right)}{b^{6}} + \frac{{\left(3 \, B b c^{2} - 5 \, A c^{3}\right)} \log\left(x^{2}\right)}{b^{6}}"," ",0,"1/12*(12*(3*B*b*c^3 - 5*A*c^4)*x^8 + 18*(3*B*b^2*c^2 - 5*A*b*c^3)*x^6 - 2*A*b^4 + 4*(3*B*b^3*c - 5*A*b^2*c^2)*x^4 - (3*B*b^4 - 5*A*b^3*c)*x^2)/(b^5*c^2*x^10 + 2*b^6*c*x^8 + b^7*x^6) - (3*B*b*c^2 - 5*A*c^3)*log(c*x^2 + b)/b^6 + (3*B*b*c^2 - 5*A*c^3)*log(x^2)/b^6","A",0
89,1,321,0,1.622031," ","integrate(x^7*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{7680} \, {\left(\frac{768 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{4}}{c} - \frac{420 \, \sqrt{c x^{4} + b x^{2}} b^{3} x^{2}}{c^{3}} - \frac{672 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b x^{2}}{c^{2}} + \frac{105 \, b^{5} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}} - \frac{210 \, \sqrt{c x^{4} + b x^{2}} b^{4}}{c^{4}} + \frac{560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2}}{c^{3}}\right)} A + \frac{1}{30720} \, {\left(\frac{2560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{6}}{c} - \frac{2304 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b x^{4}}{c^{2}} + \frac{1260 \, \sqrt{c x^{4} + b x^{2}} b^{4} x^{2}}{c^{4}} + \frac{2016 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2} x^{2}}{c^{3}} - \frac{315 \, b^{6} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{11}{2}}} + \frac{630 \, \sqrt{c x^{4} + b x^{2}} b^{5}}{c^{5}} - \frac{1680 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{3}}{c^{4}}\right)} B"," ",0,"1/7680*(768*(c*x^4 + b*x^2)^(3/2)*x^4/c - 420*sqrt(c*x^4 + b*x^2)*b^3*x^2/c^3 - 672*(c*x^4 + b*x^2)^(3/2)*b*x^2/c^2 + 105*b^5*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2) - 210*sqrt(c*x^4 + b*x^2)*b^4/c^4 + 560*(c*x^4 + b*x^2)^(3/2)*b^2/c^3)*A + 1/30720*(2560*(c*x^4 + b*x^2)^(3/2)*x^6/c - 2304*(c*x^4 + b*x^2)^(3/2)*b*x^4/c^2 + 1260*sqrt(c*x^4 + b*x^2)*b^4*x^2/c^4 + 2016*(c*x^4 + b*x^2)^(3/2)*b^2*x^2/c^3 - 315*b^6*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(11/2) + 630*sqrt(c*x^4 + b*x^2)*b^5/c^5 - 1680*(c*x^4 + b*x^2)^(3/2)*b^3/c^4)*B","A",0
90,1,273,0,1.513999," ","integrate(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{768} \, {\left(\frac{60 \, \sqrt{c x^{4} + b x^{2}} b^{2} x^{2}}{c^{2}} + \frac{96 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{2}}{c} - \frac{15 \, b^{4} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{3}}{c^{3}} - \frac{80 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b}{c^{2}}\right)} A + \frac{1}{7680} \, {\left(\frac{768 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{4}}{c} - \frac{420 \, \sqrt{c x^{4} + b x^{2}} b^{3} x^{2}}{c^{3}} - \frac{672 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b x^{2}}{c^{2}} + \frac{105 \, b^{5} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}} - \frac{210 \, \sqrt{c x^{4} + b x^{2}} b^{4}}{c^{4}} + \frac{560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2}}{c^{3}}\right)} B"," ",0,"1/768*(60*sqrt(c*x^4 + b*x^2)*b^2*x^2/c^2 + 96*(c*x^4 + b*x^2)^(3/2)*x^2/c - 15*b^4*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^3/c^3 - 80*(c*x^4 + b*x^2)^(3/2)*b/c^2)*A + 1/7680*(768*(c*x^4 + b*x^2)^(3/2)*x^4/c - 420*sqrt(c*x^4 + b*x^2)*b^3*x^2/c^3 - 672*(c*x^4 + b*x^2)^(3/2)*b*x^2/c^2 + 105*b^5*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2) - 210*sqrt(c*x^4 + b*x^2)*b^4/c^4 + 560*(c*x^4 + b*x^2)^(3/2)*b^2/c^3)*B","A",0
91,1,225,0,1.490010," ","integrate(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{96} \, {\left(\frac{12 \, \sqrt{c x^{4} + b x^{2}} b x^{2}}{c} - \frac{3 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c^{2}} - \frac{16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{c}\right)} A + \frac{1}{768} \, {\left(\frac{60 \, \sqrt{c x^{4} + b x^{2}} b^{2} x^{2}}{c^{2}} + \frac{96 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{2}}{c} - \frac{15 \, b^{4} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{3}}{c^{3}} - \frac{80 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b}{c^{2}}\right)} B"," ",0,"-1/96*(12*sqrt(c*x^4 + b*x^2)*b*x^2/c - 3*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) + 6*sqrt(c*x^4 + b*x^2)*b^2/c^2 - 16*(c*x^4 + b*x^2)^(3/2)/c)*A + 1/768*(60*sqrt(c*x^4 + b*x^2)*b^2*x^2/c^2 + 96*(c*x^4 + b*x^2)^(3/2)*x^2/c - 15*b^4*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^3/c^3 - 80*(c*x^4 + b*x^2)^(3/2)*b/c^2)*B","B",0
92,1,177,0,1.423867," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(4 \, \sqrt{c x^{4} + b x^{2}} x^{2} - \frac{b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} + \frac{2 \, \sqrt{c x^{4} + b x^{2}} b}{c}\right)} A - \frac{1}{96} \, {\left(\frac{12 \, \sqrt{c x^{4} + b x^{2}} b x^{2}}{c} - \frac{3 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c^{2}} - \frac{16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{c}\right)} B"," ",0,"1/16*(4*sqrt(c*x^4 + b*x^2)*x^2 - b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) + 2*sqrt(c*x^4 + b*x^2)*b/c)*A - 1/96*(12*sqrt(c*x^4 + b*x^2)*b*x^2/c - 3*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) + 6*sqrt(c*x^4 + b*x^2)*b^2/c^2 - 16*(c*x^4 + b*x^2)^(3/2)/c)*B","A",0
93,1,128,0,1.451357," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{\sqrt{c}} + 2 \, \sqrt{c x^{4} + b x^{2}}\right)} A + \frac{1}{16} \, {\left(4 \, \sqrt{c x^{4} + b x^{2}} x^{2} - \frac{b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} + \frac{2 \, \sqrt{c x^{4} + b x^{2}} b}{c}\right)} B"," ",0,"1/4*(b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c) + 2*sqrt(c*x^4 + b*x^2))*A + 1/16*(4*sqrt(c*x^4 + b*x^2)*x^2 - b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) + 2*sqrt(c*x^4 + b*x^2)*b/c)*B","A",0
94,1,105,0,1.479022," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{c} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{2 \, \sqrt{c x^{4} + b x^{2}}}{x^{2}}\right)} A + \frac{1}{4} \, {\left(\frac{b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{\sqrt{c}} + 2 \, \sqrt{c x^{4} + b x^{2}}\right)} B"," ",0,"1/2*(sqrt(c)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 2*sqrt(c*x^4 + b*x^2)/x^2)*A + 1/4*(b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c) + 2*sqrt(c*x^4 + b*x^2))*B","A",0
95,1,96,0,1.417618," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^5,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(\sqrt{c} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{2 \, \sqrt{c x^{4} + b x^{2}}}{x^{2}}\right)} B - \frac{1}{3} \, A {\left(\frac{\sqrt{c x^{4} + b x^{2}} c}{b x^{2}} + \frac{\sqrt{c x^{4} + b x^{2}}}{x^{4}}\right)}"," ",0,"1/2*(sqrt(c)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 2*sqrt(c*x^4 + b*x^2)/x^2)*B - 1/3*A*(sqrt(c*x^4 + b*x^2)*c/(b*x^2) + sqrt(c*x^4 + b*x^2)/x^4)","A",0
96,1,111,0,1.495225," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^7,x, algorithm=""maxima"")","-\frac{1}{3} \, B {\left(\frac{\sqrt{c x^{4} + b x^{2}} c}{b x^{2}} + \frac{\sqrt{c x^{4} + b x^{2}}}{x^{4}}\right)} + \frac{1}{15} \, A {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} c}{b x^{4}} - \frac{3 \, \sqrt{c x^{4} + b x^{2}}}{x^{6}}\right)}"," ",0,"-1/3*B*(sqrt(c*x^4 + b*x^2)*c/(b*x^2) + sqrt(c*x^4 + b*x^2)/x^4) + 1/15*A*(2*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^2) - sqrt(c*x^4 + b*x^2)*c/(b*x^4) - 3*sqrt(c*x^4 + b*x^2)/x^6)","B",0
97,1,161,0,1.478952," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^9,x, algorithm=""maxima"")","\frac{1}{15} \, B {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} c}{b x^{4}} - \frac{3 \, \sqrt{c x^{4} + b x^{2}}}{x^{6}}\right)} - \frac{1}{105} \, A {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{3} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}} c}{b x^{6}} + \frac{15 \, \sqrt{c x^{4} + b x^{2}}}{x^{8}}\right)}"," ",0,"1/15*B*(2*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^2) - sqrt(c*x^4 + b*x^2)*c/(b*x^4) - 3*sqrt(c*x^4 + b*x^2)/x^6) - 1/105*A*(8*sqrt(c*x^4 + b*x^2)*c^3/(b^3*x^2) - 4*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^4) + 3*sqrt(c*x^4 + b*x^2)*c/(b*x^6) + 15*sqrt(c*x^4 + b*x^2)/x^8)","A",0
98,1,209,0,1.494475," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^11,x, algorithm=""maxima"")","-\frac{1}{105} \, B {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{3} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}} c}{b x^{6}} + \frac{15 \, \sqrt{c x^{4} + b x^{2}}}{x^{8}}\right)} + \frac{1}{315} \, A {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{4} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{3} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}} c}{b x^{8}} - \frac{35 \, \sqrt{c x^{4} + b x^{2}}}{x^{10}}\right)}"," ",0,"-1/105*B*(8*sqrt(c*x^4 + b*x^2)*c^3/(b^3*x^2) - 4*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^4) + 3*sqrt(c*x^4 + b*x^2)*c/(b*x^6) + 15*sqrt(c*x^4 + b*x^2)/x^8) + 1/315*A*(16*sqrt(c*x^4 + b*x^2)*c^4/(b^4*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^3/(b^3*x^4) + 6*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^6) - 5*sqrt(c*x^4 + b*x^2)*c/(b*x^8) - 35*sqrt(c*x^4 + b*x^2)/x^10)","A",0
99,1,257,0,1.565142," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^13,x, algorithm=""maxima"")","\frac{1}{315} \, B {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{4} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{3} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}} c}{b x^{8}} - \frac{35 \, \sqrt{c x^{4} + b x^{2}}}{x^{10}}\right)} - \frac{1}{3465} \, A {\left(\frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{5} x^{2}} - \frac{64 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{4} x^{4}} + \frac{48 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{3} x^{6}} - \frac{40 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{2} x^{8}} + \frac{35 \, \sqrt{c x^{4} + b x^{2}} c}{b x^{10}} + \frac{315 \, \sqrt{c x^{4} + b x^{2}}}{x^{12}}\right)}"," ",0,"1/315*B*(16*sqrt(c*x^4 + b*x^2)*c^4/(b^4*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^3/(b^3*x^4) + 6*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^6) - 5*sqrt(c*x^4 + b*x^2)*c/(b*x^8) - 35*sqrt(c*x^4 + b*x^2)/x^10) - 1/3465*A*(128*sqrt(c*x^4 + b*x^2)*c^5/(b^5*x^2) - 64*sqrt(c*x^4 + b*x^2)*c^4/(b^4*x^4) + 48*sqrt(c*x^4 + b*x^2)*c^3/(b^3*x^6) - 40*sqrt(c*x^4 + b*x^2)*c^2/(b^2*x^8) + 35*sqrt(c*x^4 + b*x^2)*c/(b*x^10) + 315*sqrt(c*x^4 + b*x^2)/x^12)","A",0
100,1,106,0,1.419094," ","integrate(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(15 \, c^{3} x^{6} + 3 \, b c^{2} x^{4} - 4 \, b^{2} c x^{2} + 8 \, b^{3}\right)} \sqrt{c x^{2} + b} A}{105 \, c^{3}} + \frac{{\left(35 \, c^{4} x^{8} + 5 \, b c^{3} x^{6} - 6 \, b^{2} c^{2} x^{4} + 8 \, b^{3} c x^{2} - 16 \, b^{4}\right)} \sqrt{c x^{2} + b} B}{315 \, c^{4}}"," ",0,"1/105*(15*c^3*x^6 + 3*b*c^2*x^4 - 4*b^2*c*x^2 + 8*b^3)*sqrt(c*x^2 + b)*A/c^3 + 1/315*(35*c^4*x^8 + 5*b*c^3*x^6 - 6*b^2*c^2*x^4 + 8*b^3*c*x^2 - 16*b^4)*sqrt(c*x^2 + b)*B/c^4","A",0
101,1,83,0,1.535007," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(3 \, c^{2} x^{4} + b c x^{2} - 2 \, b^{2}\right)} \sqrt{c x^{2} + b} A}{15 \, c^{2}} + \frac{{\left(15 \, c^{3} x^{6} + 3 \, b c^{2} x^{4} - 4 \, b^{2} c x^{2} + 8 \, b^{3}\right)} \sqrt{c x^{2} + b} B}{105 \, c^{3}}"," ",0,"1/15*(3*c^2*x^4 + b*c*x^2 - 2*b^2)*sqrt(c*x^2 + b)*A/c^2 + 1/105*(15*c^3*x^6 + 3*b*c^2*x^4 - 4*b^2*c*x^2 + 8*b^3)*sqrt(c*x^2 + b)*B/c^3","A",0
102,1,51,0,1.459811," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + b\right)}^{\frac{3}{2}} A}{3 \, c} + \frac{{\left(3 \, c^{2} x^{4} + b c x^{2} - 2 \, b^{2}\right)} \sqrt{c x^{2} + b} B}{15 \, c^{2}}"," ",0,"1/3*(c*x^2 + b)^(3/2)*A/c + 1/15*(3*c^2*x^4 + b*c*x^2 - 2*b^2)*sqrt(c*x^2 + b)*B/c^2","A",0
103,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^2,x, algorithm=""maxima"")","A \int \frac{\sqrt{c x^{2} + b}}{x}\,{d x} + \frac{{\left(c x^{2} + b\right)}^{\frac{3}{2}} B}{3 \, c}"," ",0,"A*integrate(sqrt(c*x^2 + b)/x, x) + 1/3*(c*x^2 + b)^(3/2)*B/c","F",0
104,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^4,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{4}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^4, x)","F",0
105,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^6,x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{6}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^6, x)","F",0
106,1,363,0,1.580667," ","integrate(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{30720} \, {\left(\frac{420 \, \sqrt{c x^{4} + b x^{2}} b^{4} x^{2}}{c^{3}} - \frac{1120 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2} x^{2}}{c^{2}} - \frac{2560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} x^{2}}{c} - \frac{105 \, b^{6} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}} + \frac{210 \, \sqrt{c x^{4} + b x^{2}} b^{5}}{c^{4}} - \frac{560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{3}}{c^{3}} + \frac{1792 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} b}{c^{2}}\right)} A + \frac{1}{143360} \, {\left(\frac{10240 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} x^{4}}{c} + \frac{1260 \, \sqrt{c x^{4} + b x^{2}} b^{5} x^{2}}{c^{4}} - \frac{3360 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{3} x^{2}}{c^{3}} - \frac{7680 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} b x^{2}}{c^{2}} - \frac{315 \, b^{7} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{11}{2}}} + \frac{630 \, \sqrt{c x^{4} + b x^{2}} b^{6}}{c^{5}} - \frac{1680 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{4}}{c^{4}} + \frac{5376 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} b^{2}}{c^{3}}\right)} B"," ",0,"-1/30720*(420*sqrt(c*x^4 + b*x^2)*b^4*x^2/c^3 - 1120*(c*x^4 + b*x^2)^(3/2)*b^2*x^2/c^2 - 2560*(c*x^4 + b*x^2)^(5/2)*x^2/c - 105*b^6*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2) + 210*sqrt(c*x^4 + b*x^2)*b^5/c^4 - 560*(c*x^4 + b*x^2)^(3/2)*b^3/c^3 + 1792*(c*x^4 + b*x^2)^(5/2)*b/c^2)*A + 1/143360*(10240*(c*x^4 + b*x^2)^(5/2)*x^4/c + 1260*sqrt(c*x^4 + b*x^2)*b^5*x^2/c^4 - 3360*(c*x^4 + b*x^2)^(3/2)*b^3*x^2/c^3 - 7680*(c*x^4 + b*x^2)^(5/2)*b*x^2/c^2 - 315*b^7*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(11/2) + 630*sqrt(c*x^4 + b*x^2)*b^6/c^5 - 1680*(c*x^4 + b*x^2)^(3/2)*b^4/c^4 + 5376*(c*x^4 + b*x^2)^(5/2)*b^2/c^3)*B","A",0
107,1,315,0,1.556381," ","integrate(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{2560} \, {\left(\frac{60 \, \sqrt{c x^{4} + b x^{2}} b^{3} x^{2}}{c^{2}} - \frac{160 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b x^{2}}{c} - \frac{15 \, b^{5} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{4}}{c^{3}} - \frac{80 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2}}{c^{2}} + \frac{256 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}}}{c}\right)} A - \frac{1}{30720} \, {\left(\frac{420 \, \sqrt{c x^{4} + b x^{2}} b^{4} x^{2}}{c^{3}} - \frac{1120 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2} x^{2}}{c^{2}} - \frac{2560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} x^{2}}{c} - \frac{105 \, b^{6} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}} + \frac{210 \, \sqrt{c x^{4} + b x^{2}} b^{5}}{c^{4}} - \frac{560 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{3}}{c^{3}} + \frac{1792 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}} b}{c^{2}}\right)} B"," ",0,"1/2560*(60*sqrt(c*x^4 + b*x^2)*b^3*x^2/c^2 - 160*(c*x^4 + b*x^2)^(3/2)*b*x^2/c - 15*b^5*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^4/c^3 - 80*(c*x^4 + b*x^2)^(3/2)*b^2/c^2 + 256*(c*x^4 + b*x^2)^(5/2)/c)*A - 1/30720*(420*sqrt(c*x^4 + b*x^2)*b^4*x^2/c^3 - 1120*(c*x^4 + b*x^2)^(3/2)*b^2*x^2/c^2 - 2560*(c*x^4 + b*x^2)^(5/2)*x^2/c - 105*b^6*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2) + 210*sqrt(c*x^4 + b*x^2)*b^5/c^4 - 560*(c*x^4 + b*x^2)^(3/2)*b^3/c^3 + 1792*(c*x^4 + b*x^2)^(5/2)*b/c^2)*B","B",0
108,1,267,0,1.508176," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{256} \, {\left(32 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{2} - \frac{12 \, \sqrt{c x^{4} + b x^{2}} b^{2} x^{2}}{c} + \frac{3 \, b^{4} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{3}}{c^{2}} + \frac{16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b}{c}\right)} A + \frac{1}{2560} \, {\left(\frac{60 \, \sqrt{c x^{4} + b x^{2}} b^{3} x^{2}}{c^{2}} - \frac{160 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b x^{2}}{c} - \frac{15 \, b^{5} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{4}}{c^{3}} - \frac{80 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b^{2}}{c^{2}} + \frac{256 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{5}{2}}}{c}\right)} B"," ",0,"1/256*(32*(c*x^4 + b*x^2)^(3/2)*x^2 - 12*sqrt(c*x^4 + b*x^2)*b^2*x^2/c + 3*b^4*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) - 6*sqrt(c*x^4 + b*x^2)*b^3/c^2 + 16*(c*x^4 + b*x^2)^(3/2)*b/c)*A + 1/2560*(60*sqrt(c*x^4 + b*x^2)*b^3*x^2/c^2 - 160*(c*x^4 + b*x^2)^(3/2)*b*x^2/c - 15*b^5*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^4/c^3 - 80*(c*x^4 + b*x^2)^(3/2)*b^2/c^2 + 256*(c*x^4 + b*x^2)^(5/2)/c)*B","B",0
109,1,216,0,1.493377," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x,x, algorithm=""maxima"")","\frac{1}{96} \, {\left(12 \, \sqrt{c x^{4} + b x^{2}} b x^{2} - \frac{3 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} + 16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c}\right)} A + \frac{1}{256} \, {\left(32 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{2} - \frac{12 \, \sqrt{c x^{4} + b x^{2}} b^{2} x^{2}}{c} + \frac{3 \, b^{4} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{3}}{c^{2}} + \frac{16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} b}{c}\right)} B"," ",0,"1/96*(12*sqrt(c*x^4 + b*x^2)*b*x^2 - 3*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) + 16*(c*x^4 + b*x^2)^(3/2) + 6*sqrt(c*x^4 + b*x^2)*b^2/c)*A + 1/256*(32*(c*x^4 + b*x^2)^(3/2)*x^2 - 12*sqrt(c*x^4 + b*x^2)*b^2*x^2/c + 3*b^4*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) - 6*sqrt(c*x^4 + b*x^2)*b^3/c^2 + 16*(c*x^4 + b*x^2)^(3/2)*b/c)*B","A",0
110,1,168,0,1.429256," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^3,x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{3 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{\sqrt{c}} + 6 \, \sqrt{c x^{4} + b x^{2}} b + \frac{4 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{2}}\right)} A + \frac{1}{96} \, {\left(12 \, \sqrt{c x^{4} + b x^{2}} b x^{2} - \frac{3 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} + 16 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c}\right)} B"," ",0,"1/16*(3*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c) + 6*sqrt(c*x^4 + b*x^2)*b + 4*(c*x^4 + b*x^2)^(3/2)/x^2)*A + 1/96*(12*sqrt(c*x^4 + b*x^2)*b*x^2 - 3*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) + 16*(c*x^4 + b*x^2)^(3/2) + 6*sqrt(c*x^4 + b*x^2)*b^2/c)*B","A",0
111,1,148,0,1.494168," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^5,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(3 \, b \sqrt{c} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b}{x^{2}} + \frac{2 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{4}}\right)} A + \frac{1}{16} \, {\left(\frac{3 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{\sqrt{c}} + 6 \, \sqrt{c x^{4} + b x^{2}} b + \frac{4 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{2}}\right)} B"," ",0,"1/4*(3*b*sqrt(c)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 6*sqrt(c*x^4 + b*x^2)*b/x^2 + 2*(c*x^4 + b*x^2)^(3/2)/x^4)*A + 1/16*(3*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c) + 6*sqrt(c*x^4 + b*x^2)*b + 4*(c*x^4 + b*x^2)^(3/2)/x^2)*B","A",0
112,1,167,0,1.503412," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^7,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(3 \, c^{\frac{3}{2}} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{7 \, \sqrt{c x^{4} + b x^{2}} c}{x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} b}{x^{4}} - \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{6}}\right)} A + \frac{1}{4} \, {\left(3 \, b \sqrt{c} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b}{x^{2}} + \frac{2 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{4}}\right)} B"," ",0,"1/6*(3*c^(3/2)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 7*sqrt(c*x^4 + b*x^2)*c/x^2 - sqrt(c*x^4 + b*x^2)*b/x^4 - (c*x^4 + b*x^2)^(3/2)/x^6)*A + 1/4*(3*b*sqrt(c)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 6*sqrt(c*x^4 + b*x^2)*b/x^2 + 2*(c*x^4 + b*x^2)^(3/2)/x^4)*B","A",0
113,1,177,0,1.381163," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^9,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(3 \, c^{\frac{3}{2}} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right) - \frac{7 \, \sqrt{c x^{4} + b x^{2}} c}{x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} b}{x^{4}} - \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{6}}\right)} B - \frac{1}{10} \, A {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} c}{x^{4}} - \frac{3 \, \sqrt{c x^{4} + b x^{2}} b}{x^{6}} + \frac{5 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{8}}\right)}"," ",0,"1/6*(3*c^(3/2)*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c)) - 7*sqrt(c*x^4 + b*x^2)*c/x^2 - sqrt(c*x^4 + b*x^2)*b/x^4 - (c*x^4 + b*x^2)^(3/2)/x^6)*B - 1/10*A*(2*sqrt(c*x^4 + b*x^2)*c^2/(b*x^2) - sqrt(c*x^4 + b*x^2)*c/x^4 - 3*sqrt(c*x^4 + b*x^2)*b/x^6 + 5*(c*x^4 + b*x^2)^(3/2)/x^8)","B",0
114,1,193,0,1.555168," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^11,x, algorithm=""maxima"")","-\frac{1}{10} \, B {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}} c}{x^{4}} - \frac{3 \, \sqrt{c x^{4} + b x^{2}} b}{x^{6}} + \frac{5 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{8}}\right)} + \frac{1}{140} \, A {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}} c}{x^{6}} + \frac{15 \, \sqrt{c x^{4} + b x^{2}} b}{x^{8}} - \frac{35 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{10}}\right)}"," ",0,"-1/10*B*(2*sqrt(c*x^4 + b*x^2)*c^2/(b*x^2) - sqrt(c*x^4 + b*x^2)*c/x^4 - 3*sqrt(c*x^4 + b*x^2)*b/x^6 + 5*(c*x^4 + b*x^2)^(3/2)/x^8) + 1/140*A*(8*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^2) - 4*sqrt(c*x^4 + b*x^2)*c^2/(b*x^4) + 3*sqrt(c*x^4 + b*x^2)*c/x^6 + 15*sqrt(c*x^4 + b*x^2)*b/x^8 - 35*(c*x^4 + b*x^2)^(3/2)/x^10)","B",0
115,1,241,0,1.531958," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^13,x, algorithm=""maxima"")","\frac{1}{140} \, B {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}} c}{x^{6}} + \frac{15 \, \sqrt{c x^{4} + b x^{2}} b}{x^{8}} - \frac{35 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{10}}\right)} - \frac{1}{630} \, A {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}} c}{x^{8}} - \frac{35 \, \sqrt{c x^{4} + b x^{2}} b}{x^{10}} + \frac{105 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{12}}\right)}"," ",0,"1/140*B*(8*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^2) - 4*sqrt(c*x^4 + b*x^2)*c^2/(b*x^4) + 3*sqrt(c*x^4 + b*x^2)*c/x^6 + 15*sqrt(c*x^4 + b*x^2)*b/x^8 - 35*(c*x^4 + b*x^2)^(3/2)/x^10) - 1/630*A*(16*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^4) + 6*sqrt(c*x^4 + b*x^2)*c^2/(b*x^6) - 5*sqrt(c*x^4 + b*x^2)*c/x^8 - 35*sqrt(c*x^4 + b*x^2)*b/x^10 + 105*(c*x^4 + b*x^2)^(3/2)/x^12)","B",0
116,1,289,0,1.579822," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^15,x, algorithm=""maxima"")","-\frac{1}{630} \, B {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}} c}{x^{8}} - \frac{35 \, \sqrt{c x^{4} + b x^{2}} b}{x^{10}} + \frac{105 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{12}}\right)} + \frac{1}{9240} \, A {\left(\frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{4} x^{2}} - \frac{64 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{4}} + \frac{48 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{6}} - \frac{40 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{8}} + \frac{35 \, \sqrt{c x^{4} + b x^{2}} c}{x^{10}} + \frac{315 \, \sqrt{c x^{4} + b x^{2}} b}{x^{12}} - \frac{1155 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{14}}\right)}"," ",0,"-1/630*B*(16*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^4) + 6*sqrt(c*x^4 + b*x^2)*c^2/(b*x^6) - 5*sqrt(c*x^4 + b*x^2)*c/x^8 - 35*sqrt(c*x^4 + b*x^2)*b/x^10 + 105*(c*x^4 + b*x^2)^(3/2)/x^12) + 1/9240*A*(128*sqrt(c*x^4 + b*x^2)*c^5/(b^4*x^2) - 64*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^4) + 48*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^6) - 40*sqrt(c*x^4 + b*x^2)*c^2/(b*x^8) + 35*sqrt(c*x^4 + b*x^2)*c/x^10 + 315*sqrt(c*x^4 + b*x^2)*b/x^12 - 1155*(c*x^4 + b*x^2)^(3/2)/x^14)","B",0
117,1,337,0,1.624141," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^17,x, algorithm=""maxima"")","\frac{1}{9240} \, B {\left(\frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{4} x^{2}} - \frac{64 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{4}} + \frac{48 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{6}} - \frac{40 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{8}} + \frac{35 \, \sqrt{c x^{4} + b x^{2}} c}{x^{10}} + \frac{315 \, \sqrt{c x^{4} + b x^{2}} b}{x^{12}} - \frac{1155 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{14}}\right)} - \frac{1}{30030} \, A {\left(\frac{256 \, \sqrt{c x^{4} + b x^{2}} c^{6}}{b^{5} x^{2}} - \frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{4} x^{4}} + \frac{96 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{6}} - \frac{80 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{8}} + \frac{70 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{10}} - \frac{63 \, \sqrt{c x^{4} + b x^{2}} c}{x^{12}} - \frac{693 \, \sqrt{c x^{4} + b x^{2}} b}{x^{14}} + \frac{3003 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{16}}\right)}"," ",0,"1/9240*B*(128*sqrt(c*x^4 + b*x^2)*c^5/(b^4*x^2) - 64*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^4) + 48*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^6) - 40*sqrt(c*x^4 + b*x^2)*c^2/(b*x^8) + 35*sqrt(c*x^4 + b*x^2)*c/x^10 + 315*sqrt(c*x^4 + b*x^2)*b/x^12 - 1155*(c*x^4 + b*x^2)^(3/2)/x^14) - 1/30030*A*(256*sqrt(c*x^4 + b*x^2)*c^6/(b^5*x^2) - 128*sqrt(c*x^4 + b*x^2)*c^5/(b^4*x^4) + 96*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^6) - 80*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^8) + 70*sqrt(c*x^4 + b*x^2)*c^2/(b*x^10) - 63*sqrt(c*x^4 + b*x^2)*c/x^12 - 693*sqrt(c*x^4 + b*x^2)*b/x^14 + 3003*(c*x^4 + b*x^2)^(3/2)/x^16)","B",0
118,1,385,0,1.649865," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^19,x, algorithm=""maxima"")","-\frac{1}{30030} \, B {\left(\frac{256 \, \sqrt{c x^{4} + b x^{2}} c^{6}}{b^{5} x^{2}} - \frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{4} x^{4}} + \frac{96 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{6}} - \frac{80 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{8}} + \frac{70 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{10}} - \frac{63 \, \sqrt{c x^{4} + b x^{2}} c}{x^{12}} - \frac{693 \, \sqrt{c x^{4} + b x^{2}} b}{x^{14}} + \frac{3003 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{16}}\right)} + \frac{1}{180180} \, A {\left(\frac{1024 \, \sqrt{c x^{4} + b x^{2}} c^{7}}{b^{6} x^{2}} - \frac{512 \, \sqrt{c x^{4} + b x^{2}} c^{6}}{b^{5} x^{4}} + \frac{384 \, \sqrt{c x^{4} + b x^{2}} c^{5}}{b^{4} x^{6}} - \frac{320 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{3} x^{8}} + \frac{280 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{2} x^{10}} - \frac{252 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b x^{12}} + \frac{231 \, \sqrt{c x^{4} + b x^{2}} c}{x^{14}} + \frac{3003 \, \sqrt{c x^{4} + b x^{2}} b}{x^{16}} - \frac{15015 \, {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}{x^{18}}\right)}"," ",0,"-1/30030*B*(256*sqrt(c*x^4 + b*x^2)*c^6/(b^5*x^2) - 128*sqrt(c*x^4 + b*x^2)*c^5/(b^4*x^4) + 96*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^6) - 80*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^8) + 70*sqrt(c*x^4 + b*x^2)*c^2/(b*x^10) - 63*sqrt(c*x^4 + b*x^2)*c/x^12 - 693*sqrt(c*x^4 + b*x^2)*b/x^14 + 3003*(c*x^4 + b*x^2)^(3/2)/x^16) + 1/180180*A*(1024*sqrt(c*x^4 + b*x^2)*c^7/(b^6*x^2) - 512*sqrt(c*x^4 + b*x^2)*c^6/(b^5*x^4) + 384*sqrt(c*x^4 + b*x^2)*c^5/(b^4*x^6) - 320*sqrt(c*x^4 + b*x^2)*c^4/(b^3*x^8) + 280*sqrt(c*x^4 + b*x^2)*c^3/(b^2*x^10) - 252*sqrt(c*x^4 + b*x^2)*c^2/(b*x^12) + 231*sqrt(c*x^4 + b*x^2)*c/x^14 + 3003*sqrt(c*x^4 + b*x^2)*b/x^16 - 15015*(c*x^4 + b*x^2)^(3/2)/x^18)","B",0
119,1,150,0,1.552698," ","integrate(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(105 \, c^{5} x^{10} + 140 \, b c^{4} x^{8} + 5 \, b^{2} c^{3} x^{6} - 6 \, b^{3} c^{2} x^{4} + 8 \, b^{4} c x^{2} - 16 \, b^{5}\right)} \sqrt{c x^{2} + b} A}{1155 \, c^{4}} + \frac{{\left(1155 \, c^{6} x^{12} + 1470 \, b c^{5} x^{10} + 35 \, b^{2} c^{4} x^{8} - 40 \, b^{3} c^{3} x^{6} + 48 \, b^{4} c^{2} x^{4} - 64 \, b^{5} c x^{2} + 128 \, b^{6}\right)} \sqrt{c x^{2} + b} B}{15015 \, c^{5}}"," ",0,"1/1155*(105*c^5*x^10 + 140*b*c^4*x^8 + 5*b^2*c^3*x^6 - 6*b^3*c^2*x^4 + 8*b^4*c*x^2 - 16*b^5)*sqrt(c*x^2 + b)*A/c^4 + 1/15015*(1155*c^6*x^12 + 1470*b*c^5*x^10 + 35*b^2*c^4*x^8 - 40*b^3*c^3*x^6 + 48*b^4*c^2*x^4 - 64*b^5*c*x^2 + 128*b^6)*sqrt(c*x^2 + b)*B/c^5","A",0
120,1,128,0,1.527311," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(35 \, c^{4} x^{8} + 50 \, b c^{3} x^{6} + 3 \, b^{2} c^{2} x^{4} - 4 \, b^{3} c x^{2} + 8 \, b^{4}\right)} \sqrt{c x^{2} + b} A}{315 \, c^{3}} + \frac{{\left(105 \, c^{5} x^{10} + 140 \, b c^{4} x^{8} + 5 \, b^{2} c^{3} x^{6} - 6 \, b^{3} c^{2} x^{4} + 8 \, b^{4} c x^{2} - 16 \, b^{5}\right)} \sqrt{c x^{2} + b} B}{1155 \, c^{4}}"," ",0,"1/315*(35*c^4*x^8 + 50*b*c^3*x^6 + 3*b^2*c^2*x^4 - 4*b^3*c*x^2 + 8*b^4)*sqrt(c*x^2 + b)*A/c^3 + 1/1155*(105*c^5*x^10 + 140*b*c^4*x^8 + 5*b^2*c^3*x^6 - 6*b^3*c^2*x^4 + 8*b^4*c*x^2 - 16*b^5)*sqrt(c*x^2 + b)*B/c^4","A",0
121,1,105,0,1.556885," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(5 \, c^{3} x^{6} + 8 \, b c^{2} x^{4} + b^{2} c x^{2} - 2 \, b^{3}\right)} \sqrt{c x^{2} + b} A}{35 \, c^{2}} + \frac{{\left(35 \, c^{4} x^{8} + 50 \, b c^{3} x^{6} + 3 \, b^{2} c^{2} x^{4} - 4 \, b^{3} c x^{2} + 8 \, b^{4}\right)} \sqrt{c x^{2} + b} B}{315 \, c^{3}}"," ",0,"1/35*(5*c^3*x^6 + 8*b*c^2*x^4 + b^2*c*x^2 - 2*b^3)*sqrt(c*x^2 + b)*A/c^2 + 1/315*(35*c^4*x^8 + 50*b*c^3*x^6 + 3*b^2*c^2*x^4 - 4*b^3*c*x^2 + 8*b^4)*sqrt(c*x^2 + b)*B/c^3","A",0
122,1,80,0,1.551415," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^2,x, algorithm=""maxima"")","\frac{{\left(c^{2} x^{4} + 2 \, b c x^{2} + b^{2}\right)} \sqrt{c x^{2} + b} A}{5 \, c} + \frac{{\left(5 \, c^{3} x^{6} + 8 \, b c^{2} x^{4} + b^{2} c x^{2} - 2 \, b^{3}\right)} \sqrt{c x^{2} + b} B}{35 \, c^{2}}"," ",0,"1/5*(c^2*x^4 + 2*b*c*x^2 + b^2)*sqrt(c*x^2 + b)*A/c + 1/35*(5*c^3*x^6 + 8*b*c^2*x^4 + b^2*c*x^2 - 2*b^3)*sqrt(c*x^2 + b)*B/c^2","A",0
123,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^4,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{4}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^4, x)","F",0
124,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^6,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{6}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^6, x)","F",0
125,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^8,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{8}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^8, x)","F",0
126,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^10,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{10}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^10, x)","F",0
127,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^12,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{12}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^12, x)","F",0
128,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^14,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{14}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^14, x)","F",0
129,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^16,x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{16}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^16, x)","F",0
130,1,231,0,1.379480," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{96} \, {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} x^{4}}{c} - \frac{20 \, \sqrt{c x^{4} + b x^{2}} b x^{2}}{c^{2}} - \frac{15 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c^{3}}\right)} A + \frac{1}{768} \, {\left(\frac{96 \, \sqrt{c x^{4} + b x^{2}} x^{6}}{c} - \frac{112 \, \sqrt{c x^{4} + b x^{2}} b x^{4}}{c^{2}} + \frac{140 \, \sqrt{c x^{4} + b x^{2}} b^{2} x^{2}}{c^{3}} + \frac{105 \, b^{4} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}} - \frac{210 \, \sqrt{c x^{4} + b x^{2}} b^{3}}{c^{4}}\right)} B"," ",0,"1/96*(16*sqrt(c*x^4 + b*x^2)*x^4/c - 20*sqrt(c*x^4 + b*x^2)*b*x^2/c^2 - 15*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^2/c^3)*A + 1/768*(96*sqrt(c*x^4 + b*x^2)*x^6/c - 112*sqrt(c*x^4 + b*x^2)*b*x^4/c^2 + 140*sqrt(c*x^4 + b*x^2)*b^2*x^2/c^3 + 105*b^4*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2) - 210*sqrt(c*x^4 + b*x^2)*b^3/c^4)*B","A",0
131,1,183,0,1.453749," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{4 \, \sqrt{c x^{4} + b x^{2}} x^{2}}{c} + \frac{3 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b}{c^{2}}\right)} A + \frac{1}{96} \, {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} x^{4}}{c} - \frac{20 \, \sqrt{c x^{4} + b x^{2}} b x^{2}}{c^{2}} - \frac{15 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}} + \frac{30 \, \sqrt{c x^{4} + b x^{2}} b^{2}}{c^{3}}\right)} B"," ",0,"1/16*(4*sqrt(c*x^4 + b*x^2)*x^2/c + 3*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) - 6*sqrt(c*x^4 + b*x^2)*b/c^2)*A + 1/96*(16*sqrt(c*x^4 + b*x^2)*x^4/c - 20*sqrt(c*x^4 + b*x^2)*b*x^2/c^2 - 15*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2) + 30*sqrt(c*x^4 + b*x^2)*b^2/c^3)*B","A",0
132,1,134,0,1.456986," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{4 \, \sqrt{c x^{4} + b x^{2}} x^{2}}{c} + \frac{3 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}} - \frac{6 \, \sqrt{c x^{4} + b x^{2}} b}{c^{2}}\right)} B - \frac{1}{4} \, A {\left(\frac{b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} - \frac{2 \, \sqrt{c x^{4} + b x^{2}}}{c}\right)}"," ",0,"1/16*(4*sqrt(c*x^4 + b*x^2)*x^2/c + 3*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2) - 6*sqrt(c*x^4 + b*x^2)*b/c^2)*B - 1/4*A*(b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) - 2*sqrt(c*x^4 + b*x^2)/c)","A",0
133,1,88,0,1.436839," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{4} \, B {\left(\frac{b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}} - \frac{2 \, \sqrt{c x^{4} + b x^{2}}}{c}\right)} + \frac{A \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{2 \, \sqrt{c}}"," ",0,"-1/4*B*(b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2) - 2*sqrt(c*x^4 + b*x^2)/c) + 1/2*A*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c)","A",0
134,1,56,0,1.412182," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{B \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{2 \, \sqrt{c}} - \frac{\sqrt{c x^{4} + b x^{2}} A}{b x^{2}}"," ",0,"1/2*B*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/sqrt(c) - sqrt(c*x^4 + b*x^2)*A/(b*x^2)","A",0
135,1,70,0,1.468726," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, A {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}}}{b x^{4}}\right)} - \frac{\sqrt{c x^{4} + b x^{2}} B}{b x^{2}}"," ",0,"1/3*A*(2*sqrt(c*x^4 + b*x^2)*c/(b^2*x^2) - sqrt(c*x^4 + b*x^2)/(b*x^4)) - sqrt(c*x^4 + b*x^2)*B/(b*x^2)","A",0
136,1,119,0,1.489060," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, B {\left(\frac{2 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{2}} - \frac{\sqrt{c x^{4} + b x^{2}}}{b x^{4}}\right)} - \frac{1}{15} \, A {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{3} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}}}{b x^{6}}\right)}"," ",0,"1/3*B*(2*sqrt(c*x^4 + b*x^2)*c/(b^2*x^2) - sqrt(c*x^4 + b*x^2)/(b*x^4)) - 1/15*A*(8*sqrt(c*x^4 + b*x^2)*c^2/(b^3*x^2) - 4*sqrt(c*x^4 + b*x^2)*c/(b^2*x^4) + 3*sqrt(c*x^4 + b*x^2)/(b*x^6))","A",0
137,1,167,0,1.487841," ","integrate((B*x^2+A)/x^7/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{15} \, B {\left(\frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{3} x^{2}} - \frac{4 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{4}} + \frac{3 \, \sqrt{c x^{4} + b x^{2}}}{b x^{6}}\right)} + \frac{1}{35} \, A {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{4} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{3} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}}}{b x^{8}}\right)}"," ",0,"-1/15*B*(8*sqrt(c*x^4 + b*x^2)*c^2/(b^3*x^2) - 4*sqrt(c*x^4 + b*x^2)*c/(b^2*x^4) + 3*sqrt(c*x^4 + b*x^2)/(b*x^6)) + 1/35*A*(16*sqrt(c*x^4 + b*x^2)*c^3/(b^4*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^2/(b^3*x^4) + 6*sqrt(c*x^4 + b*x^2)*c/(b^2*x^6) - 5*sqrt(c*x^4 + b*x^2)/(b*x^8))","A",0
138,1,215,0,1.541999," ","integrate((B*x^2+A)/x^9/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{35} \, B {\left(\frac{16 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{4} x^{2}} - \frac{8 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{3} x^{4}} + \frac{6 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{6}} - \frac{5 \, \sqrt{c x^{4} + b x^{2}}}{b x^{8}}\right)} - \frac{1}{315} \, A {\left(\frac{128 \, \sqrt{c x^{4} + b x^{2}} c^{4}}{b^{5} x^{2}} - \frac{64 \, \sqrt{c x^{4} + b x^{2}} c^{3}}{b^{4} x^{4}} + \frac{48 \, \sqrt{c x^{4} + b x^{2}} c^{2}}{b^{3} x^{6}} - \frac{40 \, \sqrt{c x^{4} + b x^{2}} c}{b^{2} x^{8}} + \frac{35 \, \sqrt{c x^{4} + b x^{2}}}{b x^{10}}\right)}"," ",0,"1/35*B*(16*sqrt(c*x^4 + b*x^2)*c^3/(b^4*x^2) - 8*sqrt(c*x^4 + b*x^2)*c^2/(b^3*x^4) + 6*sqrt(c*x^4 + b*x^2)*c/(b^2*x^6) - 5*sqrt(c*x^4 + b*x^2)/(b*x^8)) - 1/315*A*(128*sqrt(c*x^4 + b*x^2)*c^4/(b^5*x^2) - 64*sqrt(c*x^4 + b*x^2)*c^3/(b^4*x^4) + 48*sqrt(c*x^4 + b*x^2)*c^2/(b^3*x^6) - 40*sqrt(c*x^4 + b*x^2)*c/(b^2*x^8) + 35*sqrt(c*x^4 + b*x^2)/(b*x^10))","A",0
139,1,106,0,1.529765," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(3 \, c^{3} x^{6} - b c^{2} x^{4} + 4 \, b^{2} c x^{2} + 8 \, b^{3}\right)} A}{15 \, \sqrt{c x^{2} + b} c^{3}} + \frac{{\left(5 \, c^{4} x^{8} - b c^{3} x^{6} + 2 \, b^{2} c^{2} x^{4} - 8 \, b^{3} c x^{2} - 16 \, b^{4}\right)} B}{35 \, \sqrt{c x^{2} + b} c^{4}}"," ",0,"1/15*(3*c^3*x^6 - b*c^2*x^4 + 4*b^2*c*x^2 + 8*b^3)*A/(sqrt(c*x^2 + b)*c^3) + 1/35*(5*c^4*x^8 - b*c^3*x^6 + 2*b^2*c^2*x^4 - 8*b^3*c*x^2 - 16*b^4)*B/(sqrt(c*x^2 + b)*c^4)","A",0
140,1,83,0,1.539553," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{{\left(c^{2} x^{4} - b c x^{2} - 2 \, b^{2}\right)} A}{3 \, \sqrt{c x^{2} + b} c^{2}} + \frac{{\left(3 \, c^{3} x^{6} - b c^{2} x^{4} + 4 \, b^{2} c x^{2} + 8 \, b^{3}\right)} B}{15 \, \sqrt{c x^{2} + b} c^{3}}"," ",0,"1/3*(c^2*x^4 - b*c*x^2 - 2*b^2)*A/(sqrt(c*x^2 + b)*c^2) + 1/15*(3*c^3*x^6 - b*c^2*x^4 + 4*b^2*c*x^2 + 8*b^3)*B/(sqrt(c*x^2 + b)*c^3)","A",0
141,1,50,0,1.458170," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{c x^{2} + b} A}{c} + \frac{{\left(c^{2} x^{4} - b c x^{2} - 2 \, b^{2}\right)} B}{3 \, \sqrt{c x^{2} + b} c^{2}}"," ",0,"sqrt(c*x^2 + b)*A/c + 1/3*(c^2*x^4 - b*c*x^2 - 2*b^2)*B/(sqrt(c*x^2 + b)*c^2)","A",0
142,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/sqrt(c*x^4 + b*x^2), x)","F",0
143,0,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^2), x)","F",0
144,0,0,0,0.000000," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{4}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^4), x)","F",0
145,1,237,0,1.487692," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{16} \, {\left(\frac{4 \, x^{6}}{\sqrt{c x^{4} + b x^{2}} c} - \frac{10 \, b x^{4}}{\sqrt{c x^{4} + b x^{2}} c^{2}} - \frac{30 \, b^{2} x^{2}}{\sqrt{c x^{4} + b x^{2}} c^{3}} + \frac{15 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}}\right)} A + \frac{1}{96} \, {\left(\frac{16 \, x^{8}}{\sqrt{c x^{4} + b x^{2}} c} - \frac{28 \, b x^{6}}{\sqrt{c x^{4} + b x^{2}} c^{2}} + \frac{70 \, b^{2} x^{4}}{\sqrt{c x^{4} + b x^{2}} c^{3}} + \frac{210 \, b^{3} x^{2}}{\sqrt{c x^{4} + b x^{2}} c^{4}} - \frac{105 \, b^{3} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{9}{2}}}\right)} B"," ",0,"1/16*(4*x^6/(sqrt(c*x^4 + b*x^2)*c) - 10*b*x^4/(sqrt(c*x^4 + b*x^2)*c^2) - 30*b^2*x^2/(sqrt(c*x^4 + b*x^2)*c^3) + 15*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2))*A + 1/96*(16*x^8/(sqrt(c*x^4 + b*x^2)*c) - 28*b*x^6/(sqrt(c*x^4 + b*x^2)*c^2) + 70*b^2*x^4/(sqrt(c*x^4 + b*x^2)*c^3) + 210*b^3*x^2/(sqrt(c*x^4 + b*x^2)*c^4) - 105*b^3*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(9/2))*B","A",0
146,1,187,0,1.544619," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, x^{4}}{\sqrt{c x^{4} + b x^{2}} c} + \frac{6 \, b x^{2}}{\sqrt{c x^{4} + b x^{2}} c^{2}} - \frac{3 \, b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}}\right)} A + \frac{1}{16} \, {\left(\frac{4 \, x^{6}}{\sqrt{c x^{4} + b x^{2}} c} - \frac{10 \, b x^{4}}{\sqrt{c x^{4} + b x^{2}} c^{2}} - \frac{30 \, b^{2} x^{2}}{\sqrt{c x^{4} + b x^{2}} c^{3}} + \frac{15 \, b^{2} \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{7}{2}}}\right)} B"," ",0,"1/4*(2*x^4/(sqrt(c*x^4 + b*x^2)*c) + 6*b*x^2/(sqrt(c*x^4 + b*x^2)*c^2) - 3*b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2))*A + 1/16*(4*x^6/(sqrt(c*x^4 + b*x^2)*c) - 10*b*x^4/(sqrt(c*x^4 + b*x^2)*c^2) - 30*b^2*x^2/(sqrt(c*x^4 + b*x^2)*c^3) + 15*b^2*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(7/2))*B","A",0
147,1,138,0,1.514195," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(\frac{2 \, x^{4}}{\sqrt{c x^{4} + b x^{2}} c} + \frac{6 \, b x^{2}}{\sqrt{c x^{4} + b x^{2}} c^{2}} - \frac{3 \, b \log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{5}{2}}}\right)} B - \frac{1}{2} \, A {\left(\frac{2 \, x^{2}}{\sqrt{c x^{4} + b x^{2}} c} - \frac{\log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}}\right)}"," ",0,"1/4*(2*x^4/(sqrt(c*x^4 + b*x^2)*c) + 6*b*x^2/(sqrt(c*x^4 + b*x^2)*c^2) - 3*b*log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(5/2))*B - 1/2*A*(2*x^2/(sqrt(c*x^4 + b*x^2)*c) - log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2))","A",0
148,1,79,0,1.480773," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{2} \, B {\left(\frac{2 \, x^{2}}{\sqrt{c x^{4} + b x^{2}} c} - \frac{\log\left(2 \, c x^{2} + b + 2 \, \sqrt{c x^{4} + b x^{2}} \sqrt{c}\right)}{c^{\frac{3}{2}}}\right)} + \frac{A x^{2}}{\sqrt{c x^{4} + b x^{2}} b}"," ",0,"-1/2*B*(2*x^2/(sqrt(c*x^4 + b*x^2)*c) - log(2*c*x^2 + b + 2*sqrt(c*x^4 + b*x^2)*sqrt(c))/c^(3/2)) + A*x^2/(sqrt(c*x^4 + b*x^2)*b)","A",0
149,1,65,0,1.488519," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","-A {\left(\frac{2 \, c x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{2}} + \frac{1}{\sqrt{c x^{4} + b x^{2}} b}\right)} + \frac{B x^{2}}{\sqrt{c x^{4} + b x^{2}} b}"," ",0,"-A*(2*c*x^2/(sqrt(c*x^4 + b*x^2)*b^2) + 1/(sqrt(c*x^4 + b*x^2)*b)) + B*x^2/(sqrt(c*x^4 + b*x^2)*b)","A",0
150,1,112,0,1.385474," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","-B {\left(\frac{2 \, c x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{2}} + \frac{1}{\sqrt{c x^{4} + b x^{2}} b}\right)} + \frac{1}{3} \, A {\left(\frac{8 \, c^{2} x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{3}} + \frac{4 \, c}{\sqrt{c x^{4} + b x^{2}} b^{2}} - \frac{1}{\sqrt{c x^{4} + b x^{2}} b x^{2}}\right)}"," ",0,"-B*(2*c*x^2/(sqrt(c*x^4 + b*x^2)*b^2) + 1/(sqrt(c*x^4 + b*x^2)*b)) + 1/3*A*(8*c^2*x^2/(sqrt(c*x^4 + b*x^2)*b^3) + 4*c/(sqrt(c*x^4 + b*x^2)*b^2) - 1/(sqrt(c*x^4 + b*x^2)*b*x^2))","A",0
151,1,160,0,1.501307," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{3} \, B {\left(\frac{8 \, c^{2} x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{3}} + \frac{4 \, c}{\sqrt{c x^{4} + b x^{2}} b^{2}} - \frac{1}{\sqrt{c x^{4} + b x^{2}} b x^{2}}\right)} - \frac{1}{5} \, A {\left(\frac{16 \, c^{3} x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{4}} + \frac{8 \, c^{2}}{\sqrt{c x^{4} + b x^{2}} b^{3}} - \frac{2 \, c}{\sqrt{c x^{4} + b x^{2}} b^{2} x^{2}} + \frac{1}{\sqrt{c x^{4} + b x^{2}} b x^{4}}\right)}"," ",0,"1/3*B*(8*c^2*x^2/(sqrt(c*x^4 + b*x^2)*b^3) + 4*c/(sqrt(c*x^4 + b*x^2)*b^2) - 1/(sqrt(c*x^4 + b*x^2)*b*x^2)) - 1/5*A*(16*c^3*x^2/(sqrt(c*x^4 + b*x^2)*b^4) + 8*c^2/(sqrt(c*x^4 + b*x^2)*b^3) - 2*c/(sqrt(c*x^4 + b*x^2)*b^2*x^2) + 1/(sqrt(c*x^4 + b*x^2)*b*x^4))","A",0
152,1,208,0,1.478026," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","-\frac{1}{5} \, B {\left(\frac{16 \, c^{3} x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{4}} + \frac{8 \, c^{2}}{\sqrt{c x^{4} + b x^{2}} b^{3}} - \frac{2 \, c}{\sqrt{c x^{4} + b x^{2}} b^{2} x^{2}} + \frac{1}{\sqrt{c x^{4} + b x^{2}} b x^{4}}\right)} + \frac{1}{35} \, A {\left(\frac{128 \, c^{4} x^{2}}{\sqrt{c x^{4} + b x^{2}} b^{5}} + \frac{64 \, c^{3}}{\sqrt{c x^{4} + b x^{2}} b^{4}} - \frac{16 \, c^{2}}{\sqrt{c x^{4} + b x^{2}} b^{3} x^{2}} + \frac{8 \, c}{\sqrt{c x^{4} + b x^{2}} b^{2} x^{4}} - \frac{5}{\sqrt{c x^{4} + b x^{2}} b x^{6}}\right)}"," ",0,"-1/5*B*(16*c^3*x^2/(sqrt(c*x^4 + b*x^2)*b^4) + 8*c^2/(sqrt(c*x^4 + b*x^2)*b^3) - 2*c/(sqrt(c*x^4 + b*x^2)*b^2*x^2) + 1/(sqrt(c*x^4 + b*x^2)*b*x^4)) + 1/35*A*(128*c^4*x^2/(sqrt(c*x^4 + b*x^2)*b^5) + 64*c^3/(sqrt(c*x^4 + b*x^2)*b^4) - 16*c^2/(sqrt(c*x^4 + b*x^2)*b^3*x^2) + 8*c/(sqrt(c*x^4 + b*x^2)*b^2*x^4) - 5/(sqrt(c*x^4 + b*x^2)*b*x^6))","A",0
153,1,82,0,1.576212," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c^{2} x^{4} - 4 \, b c x^{2} - 8 \, b^{2}\right)} A}{3 \, \sqrt{c x^{2} + b} c^{3}} + \frac{{\left(c^{3} x^{6} - 2 \, b c^{2} x^{4} + 8 \, b^{2} c x^{2} + 16 \, b^{3}\right)} B}{5 \, \sqrt{c x^{2} + b} c^{4}}"," ",0,"1/3*(c^2*x^4 - 4*b*c*x^2 - 8*b^2)*A/(sqrt(c*x^2 + b)*c^3) + 1/5*(c^3*x^6 - 2*b*c^2*x^4 + 8*b^2*c*x^2 + 16*b^3)*B/(sqrt(c*x^2 + b)*c^4)","A",0
154,1,59,0,1.559480," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + 2 \, b\right)} A}{\sqrt{c x^{2} + b} c^{2}} + \frac{{\left(c^{2} x^{4} - 4 \, b c x^{2} - 8 \, b^{2}\right)} B}{3 \, \sqrt{c x^{2} + b} c^{3}}"," ",0,"(c*x^2 + 2*b)*A/(sqrt(c*x^2 + b)*c^2) + 1/3*(c^2*x^4 - 4*b*c*x^2 - 8*b^2)*B/(sqrt(c*x^2 + b)*c^3)","A",0
155,1,39,0,1.569262," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\frac{{\left(c x^{2} + 2 \, b\right)} B}{\sqrt{c x^{2} + b} c^{2}} - \frac{A}{\sqrt{c x^{2} + b} c}"," ",0,"(c*x^2 + 2*b)*B/(sqrt(c*x^2 + b)*c^2) - A/(sqrt(c*x^2 + b)*c)","A",0
156,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{2}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^2/(c*x^4 + b*x^2)^(3/2), x)","F",0
157,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(c*x^4 + b*x^2)^(3/2), x)","F",0
158,0,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x^2), x)","F",0
159,1,27,0,1.343823," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2}{21} \, B c x^{\frac{21}{2}} + \frac{2}{17} \, {\left(B b + A c\right)} x^{\frac{17}{2}} + \frac{2}{13} \, A b x^{\frac{13}{2}}"," ",0,"2/21*B*c*x^(21/2) + 2/17*(B*b + A*c)*x^(17/2) + 2/13*A*b*x^(13/2)","A",0
160,1,27,0,1.353833," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2}{19} \, B c x^{\frac{19}{2}} + \frac{2}{15} \, {\left(B b + A c\right)} x^{\frac{15}{2}} + \frac{2}{11} \, A b x^{\frac{11}{2}}"," ",0,"2/19*B*c*x^(19/2) + 2/15*(B*b + A*c)*x^(15/2) + 2/11*A*b*x^(11/2)","A",0
161,1,27,0,1.329700," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2}{17} \, B c x^{\frac{17}{2}} + \frac{2}{13} \, {\left(B b + A c\right)} x^{\frac{13}{2}} + \frac{2}{9} \, A b x^{\frac{9}{2}}"," ",0,"2/17*B*c*x^(17/2) + 2/13*(B*b + A*c)*x^(13/2) + 2/9*A*b*x^(9/2)","A",0
162,1,27,0,1.307408," ","integrate((B*x^2+A)*(c*x^4+b*x^2)*x^(1/2),x, algorithm=""maxima"")","\frac{2}{15} \, B c x^{\frac{15}{2}} + \frac{2}{11} \, {\left(B b + A c\right)} x^{\frac{11}{2}} + \frac{2}{7} \, A b x^{\frac{7}{2}}"," ",0,"2/15*B*c*x^(15/2) + 2/11*(B*b + A*c)*x^(11/2) + 2/7*A*b*x^(7/2)","A",0
163,1,27,0,1.365744," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(1/2),x, algorithm=""maxima"")","\frac{2}{13} \, B c x^{\frac{13}{2}} + \frac{2}{9} \, {\left(B b + A c\right)} x^{\frac{9}{2}} + \frac{2}{5} \, A b x^{\frac{5}{2}}"," ",0,"2/13*B*c*x^(13/2) + 2/9*(B*b + A*c)*x^(9/2) + 2/5*A*b*x^(5/2)","A",0
164,1,27,0,1.383391," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(3/2),x, algorithm=""maxima"")","\frac{2}{11} \, B c x^{\frac{11}{2}} + \frac{2}{7} \, {\left(B b + A c\right)} x^{\frac{7}{2}} + \frac{2}{3} \, A b x^{\frac{3}{2}}"," ",0,"2/11*B*c*x^(11/2) + 2/7*(B*b + A*c)*x^(7/2) + 2/3*A*b*x^(3/2)","A",0
165,1,27,0,1.337394," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(5/2),x, algorithm=""maxima"")","\frac{2}{9} \, B c x^{\frac{9}{2}} + \frac{2}{5} \, {\left(B b + A c\right)} x^{\frac{5}{2}} + 2 \, A b \sqrt{x}"," ",0,"2/9*B*c*x^(9/2) + 2/5*(B*b + A*c)*x^(5/2) + 2*A*b*sqrt(x)","A",0
166,1,27,0,1.327671," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(7/2),x, algorithm=""maxima"")","\frac{2}{7} \, B c x^{\frac{7}{2}} + \frac{2}{3} \, {\left(B b + A c\right)} x^{\frac{3}{2}} - \frac{2 \, A b}{\sqrt{x}}"," ",0,"2/7*B*c*x^(7/2) + 2/3*(B*b + A*c)*x^(3/2) - 2*A*b/sqrt(x)","A",0
167,1,51,0,1.296755," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{2}{29} \, B c^{2} x^{\frac{29}{2}} + \frac{2}{25} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{25}{2}} + \frac{2}{17} \, A b^{2} x^{\frac{17}{2}} + \frac{2}{21} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{21}{2}}"," ",0,"2/29*B*c^2*x^(29/2) + 2/25*(2*B*b*c + A*c^2)*x^(25/2) + 2/17*A*b^2*x^(17/2) + 2/21*(B*b^2 + 2*A*b*c)*x^(21/2)","A",0
168,1,51,0,1.336394," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{2}{27} \, B c^{2} x^{\frac{27}{2}} + \frac{2}{23} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{23}{2}} + \frac{2}{15} \, A b^{2} x^{\frac{15}{2}} + \frac{2}{19} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{19}{2}}"," ",0,"2/27*B*c^2*x^(27/2) + 2/23*(2*B*b*c + A*c^2)*x^(23/2) + 2/15*A*b^2*x^(15/2) + 2/19*(B*b^2 + 2*A*b*c)*x^(19/2)","A",0
169,1,51,0,1.300455," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{2}{25} \, B c^{2} x^{\frac{25}{2}} + \frac{2}{21} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{21}{2}} + \frac{2}{13} \, A b^{2} x^{\frac{13}{2}} + \frac{2}{17} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{17}{2}}"," ",0,"2/25*B*c^2*x^(25/2) + 2/21*(2*B*b*c + A*c^2)*x^(21/2) + 2/13*A*b^2*x^(13/2) + 2/17*(B*b^2 + 2*A*b*c)*x^(17/2)","A",0
170,1,51,0,1.382980," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2*x^(1/2),x, algorithm=""maxima"")","\frac{2}{23} \, B c^{2} x^{\frac{23}{2}} + \frac{2}{19} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{19}{2}} + \frac{2}{11} \, A b^{2} x^{\frac{11}{2}} + \frac{2}{15} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{15}{2}}"," ",0,"2/23*B*c^2*x^(23/2) + 2/19*(2*B*b*c + A*c^2)*x^(19/2) + 2/11*A*b^2*x^(11/2) + 2/15*(B*b^2 + 2*A*b*c)*x^(15/2)","A",0
171,1,51,0,1.349814," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(1/2),x, algorithm=""maxima"")","\frac{2}{21} \, B c^{2} x^{\frac{21}{2}} + \frac{2}{17} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{9} \, A b^{2} x^{\frac{9}{2}} + \frac{2}{13} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{13}{2}}"," ",0,"2/21*B*c^2*x^(21/2) + 2/17*(2*B*b*c + A*c^2)*x^(17/2) + 2/9*A*b^2*x^(9/2) + 2/13*(B*b^2 + 2*A*b*c)*x^(13/2)","A",0
172,1,51,0,1.363894," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(3/2),x, algorithm=""maxima"")","\frac{2}{19} \, B c^{2} x^{\frac{19}{2}} + \frac{2}{15} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{7} \, A b^{2} x^{\frac{7}{2}} + \frac{2}{11} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{11}{2}}"," ",0,"2/19*B*c^2*x^(19/2) + 2/15*(2*B*b*c + A*c^2)*x^(15/2) + 2/7*A*b^2*x^(7/2) + 2/11*(B*b^2 + 2*A*b*c)*x^(11/2)","A",0
173,1,51,0,1.365858," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(5/2),x, algorithm=""maxima"")","\frac{2}{17} \, B c^{2} x^{\frac{17}{2}} + \frac{2}{13} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{13}{2}} + \frac{2}{5} \, A b^{2} x^{\frac{5}{2}} + \frac{2}{9} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{9}{2}}"," ",0,"2/17*B*c^2*x^(17/2) + 2/13*(2*B*b*c + A*c^2)*x^(13/2) + 2/5*A*b^2*x^(5/2) + 2/9*(B*b^2 + 2*A*b*c)*x^(9/2)","A",0
174,1,51,0,1.331514," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(7/2),x, algorithm=""maxima"")","\frac{2}{15} \, B c^{2} x^{\frac{15}{2}} + \frac{2}{11} \, {\left(2 \, B b c + A c^{2}\right)} x^{\frac{11}{2}} + \frac{2}{3} \, A b^{2} x^{\frac{3}{2}} + \frac{2}{7} \, {\left(B b^{2} + 2 \, A b c\right)} x^{\frac{7}{2}}"," ",0,"2/15*B*c^2*x^(15/2) + 2/11*(2*B*b*c + A*c^2)*x^(11/2) + 2/3*A*b^2*x^(3/2) + 2/7*(B*b^2 + 2*A*b*c)*x^(7/2)","A",0
175,1,73,0,1.324636," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{2}{37} \, B c^{3} x^{\frac{37}{2}} + \frac{2}{33} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{33}{2}} + \frac{6}{29} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{29}{2}} + \frac{2}{21} \, A b^{3} x^{\frac{21}{2}} + \frac{2}{25} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{25}{2}}"," ",0,"2/37*B*c^3*x^(37/2) + 2/33*(3*B*b*c^2 + A*c^3)*x^(33/2) + 6/29*(B*b^2*c + A*b*c^2)*x^(29/2) + 2/21*A*b^3*x^(21/2) + 2/25*(B*b^3 + 3*A*b^2*c)*x^(25/2)","A",0
176,1,73,0,1.361385," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{2}{35} \, B c^{3} x^{\frac{35}{2}} + \frac{2}{31} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{31}{2}} + \frac{2}{9} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{27}{2}} + \frac{2}{19} \, A b^{3} x^{\frac{19}{2}} + \frac{2}{23} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{23}{2}}"," ",0,"2/35*B*c^3*x^(35/2) + 2/31*(3*B*b*c^2 + A*c^3)*x^(31/2) + 2/9*(B*b^2*c + A*b*c^2)*x^(27/2) + 2/19*A*b^3*x^(19/2) + 2/23*(B*b^3 + 3*A*b^2*c)*x^(23/2)","A",0
177,1,73,0,1.376611," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{2}{33} \, B c^{3} x^{\frac{33}{2}} + \frac{2}{29} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{29}{2}} + \frac{6}{25} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{25}{2}} + \frac{2}{17} \, A b^{3} x^{\frac{17}{2}} + \frac{2}{21} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{21}{2}}"," ",0,"2/33*B*c^3*x^(33/2) + 2/29*(3*B*b*c^2 + A*c^3)*x^(29/2) + 6/25*(B*b^2*c + A*b*c^2)*x^(25/2) + 2/17*A*b^3*x^(17/2) + 2/21*(B*b^3 + 3*A*b^2*c)*x^(21/2)","A",0
178,1,73,0,1.333800," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3*x^(1/2),x, algorithm=""maxima"")","\frac{2}{31} \, B c^{3} x^{\frac{31}{2}} + \frac{2}{27} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{27}{2}} + \frac{6}{23} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{23}{2}} + \frac{2}{15} \, A b^{3} x^{\frac{15}{2}} + \frac{2}{19} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{19}{2}}"," ",0,"2/31*B*c^3*x^(31/2) + 2/27*(3*B*b*c^2 + A*c^3)*x^(27/2) + 6/23*(B*b^2*c + A*b*c^2)*x^(23/2) + 2/15*A*b^3*x^(15/2) + 2/19*(B*b^3 + 3*A*b^2*c)*x^(19/2)","A",0
179,1,73,0,1.359636," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(1/2),x, algorithm=""maxima"")","\frac{2}{29} \, B c^{3} x^{\frac{29}{2}} + \frac{2}{25} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{25}{2}} + \frac{2}{7} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{21}{2}} + \frac{2}{13} \, A b^{3} x^{\frac{13}{2}} + \frac{2}{17} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{17}{2}}"," ",0,"2/29*B*c^3*x^(29/2) + 2/25*(3*B*b*c^2 + A*c^3)*x^(25/2) + 2/7*(B*b^2*c + A*b*c^2)*x^(21/2) + 2/13*A*b^3*x^(13/2) + 2/17*(B*b^3 + 3*A*b^2*c)*x^(17/2)","A",0
180,1,73,0,1.321340," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(3/2),x, algorithm=""maxima"")","\frac{2}{27} \, B c^{3} x^{\frac{27}{2}} + \frac{2}{23} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{23}{2}} + \frac{6}{19} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{19}{2}} + \frac{2}{11} \, A b^{3} x^{\frac{11}{2}} + \frac{2}{15} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{15}{2}}"," ",0,"2/27*B*c^3*x^(27/2) + 2/23*(3*B*b*c^2 + A*c^3)*x^(23/2) + 6/19*(B*b^2*c + A*b*c^2)*x^(19/2) + 2/11*A*b^3*x^(11/2) + 2/15*(B*b^3 + 3*A*b^2*c)*x^(15/2)","A",0
181,1,73,0,1.403416," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(5/2),x, algorithm=""maxima"")","\frac{2}{25} \, B c^{3} x^{\frac{25}{2}} + \frac{2}{21} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{21}{2}} + \frac{6}{17} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{17}{2}} + \frac{2}{9} \, A b^{3} x^{\frac{9}{2}} + \frac{2}{13} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{13}{2}}"," ",0,"2/25*B*c^3*x^(25/2) + 2/21*(3*B*b*c^2 + A*c^3)*x^(21/2) + 6/17*(B*b^2*c + A*b*c^2)*x^(17/2) + 2/9*A*b^3*x^(9/2) + 2/13*(B*b^3 + 3*A*b^2*c)*x^(13/2)","A",0
182,1,73,0,1.337844," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(7/2),x, algorithm=""maxima"")","\frac{2}{23} \, B c^{3} x^{\frac{23}{2}} + \frac{2}{19} \, {\left(3 \, B b c^{2} + A c^{3}\right)} x^{\frac{19}{2}} + \frac{2}{5} \, {\left(B b^{2} c + A b c^{2}\right)} x^{\frac{15}{2}} + \frac{2}{7} \, A b^{3} x^{\frac{7}{2}} + \frac{2}{11} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} x^{\frac{11}{2}}"," ",0,"2/23*B*c^3*x^(23/2) + 2/19*(3*B*b*c^2 + A*c^3)*x^(19/2) + 2/5*(B*b^2*c + A*b*c^2)*x^(15/2) + 2/7*A*b^3*x^(7/2) + 2/11*(B*b^3 + 3*A*b^2*c)*x^(11/2)","A",0
183,1,237,0,3.069845," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b^{3} - A b^{2} c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, c^{3}} + \frac{2 \, {\left(21 \, B c^{2} x^{\frac{11}{2}} - 33 \, {\left(B b c - A c^{2}\right)} x^{\frac{7}{2}} + 77 \, {\left(B b^{2} - A b c\right)} x^{\frac{3}{2}}\right)}}{231 \, c^{3}}"," ",0,"-1/4*(B*b^3 - A*b^2*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c^3 + 2/231*(21*B*c^2*x^(11/2) - 33*(B*b*c - A*c^2)*x^(7/2) + 77*(B*b^2 - A*b*c)*x^(3/2))/c^3","A",0
184,1,259,0,3.010135," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(\frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)} b^{2}}{4 \, c^{3}} + \frac{2 \, {\left(5 \, B c^{2} x^{\frac{9}{2}} - 9 \, {\left(B b c - A c^{2}\right)} x^{\frac{5}{2}} + 45 \, {\left(B b^{2} - A b c\right)} \sqrt{x}\right)}}{45 \, c^{3}}"," ",0,"-1/4*(2*sqrt(2)*(B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))*b^2/c^3 + 2/45*(5*B*c^2*x^(9/2) - 9*(B*b*c - A*c^2)*x^(5/2) + 45*(B*b^2 - A*b*c)*sqrt(x))/c^3","A",0
185,1,214,0,3.133926," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b^{2} - A b c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, c^{2}} + \frac{2 \, {\left(3 \, B c x^{\frac{7}{2}} - 7 \, {\left(B b - A c\right)} x^{\frac{3}{2}}\right)}}{21 \, c^{2}}"," ",0,"1/4*(B*b^2 - A*b*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c^2 + 2/21*(3*B*c*x^(7/2) - 7*(B*b - A*c)*x^(3/2))/c^2","A",0
186,1,235,0,2.990220," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(\frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)} b}{4 \, c^{2}} + \frac{2 \, {\left(B c x^{\frac{5}{2}} - 5 \, {\left(B b - A c\right)} \sqrt{x}\right)}}{5 \, c^{2}}"," ",0,"1/4*(2*sqrt(2)*(B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))*b/c^2 + 2/5*(B*c*x^(5/2) - 5*(B*b - A*c)*sqrt(x))/c^2","A",0
187,1,194,0,3.018548," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, c} - \frac{{\left(B b - A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, c}"," ",0,"2/3*B*x^(3/2)/c - 1/4*(B*b - A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c","A",0
188,1,218,0,3.158679," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{2 \, B \sqrt{x}}{c} - \frac{\frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{4 \, c}"," ",0,"2*B*sqrt(x)/c - 1/4*(2*sqrt(2)*(B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/c","A",0
189,1,194,0,3.010958," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, b} - \frac{2 \, A}{b \sqrt{x}}"," ",0,"1/4*(B*b - A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b - 2*A/(b*sqrt(x))","A",0
190,1,218,0,3.067114," ","integrate((B*x^2+A)/(c*x^4+b*x^2)/x^(1/2),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{4 \, b} - \frac{2 \, A}{3 \, b x^{\frac{3}{2}}}"," ",0,"1/4*(2*sqrt(2)*(B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b - 2/3*A/(b*x^(3/2))","A",0
191,1,213,0,3.079980," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{{\left(B b c - A c^{2}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, b^{2}} - \frac{2 \, {\left(5 \, {\left(B b - A c\right)} x^{2} + A b\right)}}{5 \, b^{2} x^{\frac{5}{2}}}"," ",0,"-1/4*(B*b*c - A*c^2)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^2 - 2/5*(5*(B*b - A*c)*x^2 + A*b)/(b^2*x^(5/2))","A",0
192,1,247,0,2.929815," ","integrate((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} {\left(B b c - A c^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b c - A c^{2}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b c - A c^{2}\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b c - A c^{2}\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{4 \, b^{2}} - \frac{2 \, {\left(7 \, {\left(B b - A c\right)} x^{2} + 3 \, A b\right)}}{21 \, b^{2} x^{\frac{7}{2}}}"," ",0,"-1/4*(2*sqrt(2)*(B*b*c - A*c^2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b*c - A*c^2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b*c - A*c^2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b*c - A*c^2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^2 - 2/21*(7*(B*b - A*c)*x^2 + 3*A*b)/(b^2*x^(7/2))","A",0
193,1,237,0,3.105112," ","integrate((B*x^2+A)/x^(7/2)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{{\left(B b c^{2} - A c^{3}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{4 \, b^{3}} + \frac{2 \, {\left(45 \, {\left(B b c - A c^{2}\right)} x^{4} - 5 \, A b^{2} - 9 \, {\left(B b^{2} - A b c\right)} x^{2}\right)}}{45 \, b^{3} x^{\frac{9}{2}}}"," ",0,"1/4*(B*b*c^2 - A*c^3)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^3 + 2/45*(45*(B*b*c - A*c^2)*x^4 - 5*A*b^2 - 9*(B*b^2 - A*b*c)*x^2)/(b^3*x^(9/2))","A",0
194,1,276,0,3.117040," ","integrate((B*x^2+A)/x^(9/2)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{\frac{2 \, \sqrt{2} {\left(B b c^{2} - A c^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b c^{2} - A c^{3}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b c^{2} - A c^{3}\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b c^{2} - A c^{3}\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{4 \, b^{3}} + \frac{2 \, {\left(77 \, {\left(B b c - A c^{2}\right)} x^{4} - 21 \, A b^{2} - 33 \, {\left(B b^{2} - A b c\right)} x^{2}\right)}}{231 \, b^{3} x^{\frac{11}{2}}}"," ",0,"1/4*(2*sqrt(2)*(B*b*c^2 - A*c^3)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b*c^2 - A*c^3)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b*c^2 - A*c^3)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b*c^2 - A*c^3)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^3 + 2/231*(77*(B*b*c - A*c^2)*x^4 - 21*A*b^2 - 33*(B*b^2 - A*b*c)*x^2)/(b^3*x^(11/2))","A",0
195,1,298,0,3.071407," ","integrate(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b^{3} - A b^{2} c\right)} \sqrt{x}}{2 \, {\left(c^{5} x^{2} + b c^{4}\right)}} - \frac{{\left(\frac{2 \, \sqrt{2} {\left(13 \, B b - 9 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(13 \, B b - 9 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(13 \, B b - 9 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(13 \, B b - 9 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)} b^{2}}{16 \, c^{4}} + \frac{2 \, {\left(5 \, B c^{2} x^{\frac{9}{2}} - 9 \, {\left(2 \, B b c - A c^{2}\right)} x^{\frac{5}{2}} + 45 \, {\left(3 \, B b^{2} - 2 \, A b c\right)} \sqrt{x}\right)}}{45 \, c^{4}}"," ",0,"1/2*(B*b^3 - A*b^2*c)*sqrt(x)/(c^5*x^2 + b*c^4) - 1/16*(2*sqrt(2)*(13*B*b - 9*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(13*B*b - 9*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(13*B*b - 9*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(13*B*b - 9*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))*b^2/c^4 + 2/45*(5*B*c^2*x^(9/2) - 9*(2*B*b*c - A*c^2)*x^(5/2) + 45*(3*B*b^2 - 2*A*b*c)*sqrt(x))/c^4","A",0
196,1,247,0,3.108764," ","integrate(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{2} - A b c\right)} x^{\frac{3}{2}}}{2 \, {\left(c^{4} x^{2} + b c^{3}\right)}} + \frac{{\left(11 \, B b^{2} - 7 \, A b c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, c^{3}} + \frac{2 \, {\left(3 \, B c x^{\frac{7}{2}} - 7 \, {\left(2 \, B b - A c\right)} x^{\frac{3}{2}}\right)}}{21 \, c^{3}}"," ",0,"-1/2*(B*b^2 - A*b*c)*x^(3/2)/(c^4*x^2 + b*c^3) + 1/16*(11*B*b^2 - 7*A*b*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c^3 + 2/21*(3*B*c*x^(7/2) - 7*(2*B*b - A*c)*x^(3/2))/c^3","A",0
197,1,271,0,3.027166," ","integrate(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b^{2} - A b c\right)} \sqrt{x}}{2 \, {\left(c^{4} x^{2} + b c^{3}\right)}} + \frac{{\left(\frac{2 \, \sqrt{2} {\left(9 \, B b - 5 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(9 \, B b - 5 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(9 \, B b - 5 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(9 \, B b - 5 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)} b}{16 \, c^{3}} + \frac{2 \, {\left(B c x^{\frac{5}{2}} - 5 \, {\left(2 \, B b - A c\right)} \sqrt{x}\right)}}{5 \, c^{3}}"," ",0,"-1/2*(B*b^2 - A*b*c)*sqrt(x)/(c^4*x^2 + b*c^3) + 1/16*(2*sqrt(2)*(9*B*b - 5*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(9*B*b - 5*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(9*B*b - 5*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(9*B*b - 5*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))*b/c^3 + 2/5*(B*c*x^(5/2) - 5*(2*B*b - A*c)*sqrt(x))/c^3","A",0
198,1,223,0,3.312295," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} x^{\frac{3}{2}}}{2 \, {\left(c^{3} x^{2} + b c^{2}\right)}} + \frac{2 \, B x^{\frac{3}{2}}}{3 \, c^{2}} - \frac{{\left(7 \, B b - 3 \, A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, c^{2}}"," ",0,"1/2*(B*b - A*c)*x^(3/2)/(c^3*x^2 + b*c^2) + 2/3*B*x^(3/2)/c^2 - 1/16*(7*B*b - 3*A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c^2","A",0
199,1,250,0,3.107649," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - A c\right)} \sqrt{x}}{2 \, {\left(c^{3} x^{2} + b c^{2}\right)}} + \frac{2 \, B \sqrt{x}}{c^{2}} - \frac{\frac{2 \, \sqrt{2} {\left(5 \, B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(5 \, B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(5 \, B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(5 \, B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{16 \, c^{2}}"," ",0,"1/2*(B*b - A*c)*sqrt(x)/(c^3*x^2 + b*c^2) + 2*B*sqrt(x)/c^2 - 1/16*(2*sqrt(2)*(5*B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(5*B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(5*B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(5*B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/c^2","A",0
200,1,217,0,3.110473," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b - A c\right)} x^{\frac{3}{2}}}{2 \, {\left(b c^{2} x^{2} + b^{2} c\right)}} + \frac{{\left(3 \, B b + A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, b c}"," ",0,"-1/2*(B*b - A*c)*x^(3/2)/(b*c^2*x^2 + b^2*c) + 1/16*(3*B*b + A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/(b*c)","A",0
201,1,241,0,3.110296," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{{\left(B b - A c\right)} \sqrt{x}}{2 \, {\left(b c^{2} x^{2} + b^{2} c\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(B b + 3 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b + 3 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b + 3 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b + 3 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{16 \, b c}"," ",0,"-1/2*(B*b - A*c)*sqrt(x)/(b*c^2*x^2 + b^2*c) + 1/16*(2*sqrt(2)*(B*b + 3*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b + 3*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b + 3*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b + 3*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/(b*c)","A",0
202,1,222,0,3.036027," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(B b - 5 \, A c\right)} x^{2} - 4 \, A b}{2 \, {\left(b^{2} c x^{\frac{5}{2}} + b^{3} \sqrt{x}\right)}} + \frac{{\left(B b - 5 \, A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, b^{2}}"," ",0,"1/2*((B*b - 5*A*c)*x^2 - 4*A*b)/(b^2*c*x^(5/2) + b^3*sqrt(x)) + 1/16*(B*b - 5*A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^2","A",0
203,1,251,0,3.111408," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{{\left(3 \, B b - 7 \, A c\right)} x^{2} - 4 \, A b}{6 \, {\left(b^{2} c x^{\frac{7}{2}} + b^{3} x^{\frac{3}{2}}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(3 \, B b - 7 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(3 \, B b - 7 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(3 \, B b - 7 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(3 \, B b - 7 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{16 \, b^{2}}"," ",0,"1/6*((3*B*b - 7*A*c)*x^2 - 4*A*b)/(b^2*c*x^(7/2) + b^3*x^(3/2)) + 1/16*(2*sqrt(2)*(3*B*b - 7*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(3*B*b - 7*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(3*B*b - 7*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(3*B*b - 7*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^2","A",0
204,1,250,0,3.025884," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","-\frac{5 \, {\left(5 \, B b c - 9 \, A c^{2}\right)} x^{4} + 4 \, A b^{2} + 4 \, {\left(5 \, B b^{2} - 9 \, A b c\right)} x^{2}}{10 \, {\left(b^{3} c x^{\frac{9}{2}} + b^{4} x^{\frac{5}{2}}\right)}} - \frac{{\left(5 \, B b c - 9 \, A c^{2}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, b^{3}}"," ",0,"-1/10*(5*(5*B*b*c - 9*A*c^2)*x^4 + 4*A*b^2 + 4*(5*B*b^2 - 9*A*b*c)*x^2)/(b^3*c*x^(9/2) + b^4*x^(5/2)) - 1/16*(5*B*b*c - 9*A*c^2)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^3","A",0
205,1,286,0,3.124801," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^2/x^(1/2),x, algorithm=""maxima"")","-\frac{7 \, {\left(7 \, B b c - 11 \, A c^{2}\right)} x^{4} + 12 \, A b^{2} + 4 \, {\left(7 \, B b^{2} - 11 \, A b c\right)} x^{2}}{42 \, {\left(b^{3} c x^{\frac{11}{2}} + b^{4} x^{\frac{7}{2}}\right)}} - \frac{\frac{2 \, \sqrt{2} {\left(7 \, B b c - 11 \, A c^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(7 \, B b c - 11 \, A c^{2}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(7 \, B b c - 11 \, A c^{2}\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(7 \, B b c - 11 \, A c^{2}\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{16 \, b^{3}}"," ",0,"-1/42*(7*(7*B*b*c - 11*A*c^2)*x^4 + 12*A*b^2 + 4*(7*B*b^2 - 11*A*b*c)*x^2)/(b^3*c*x^(11/2) + b^4*x^(7/2)) - 1/16*(2*sqrt(2)*(7*B*b*c - 11*A*c^2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(7*B*b*c - 11*A*c^2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(7*B*b*c - 11*A*c^2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(7*B*b*c - 11*A*c^2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^3","A",0
206,1,276,0,3.014322," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{45 \, {\left(9 \, B b c^{2} - 13 \, A c^{3}\right)} x^{6} + 36 \, {\left(9 \, B b^{2} c - 13 \, A b c^{2}\right)} x^{4} - 20 \, A b^{3} - 4 \, {\left(9 \, B b^{3} - 13 \, A b^{2} c\right)} x^{2}}{90 \, {\left(b^{4} c x^{\frac{13}{2}} + b^{5} x^{\frac{9}{2}}\right)}} + \frac{{\left(9 \, B b c^{2} - 13 \, A c^{3}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{16 \, b^{4}}"," ",0,"1/90*(45*(9*B*b*c^2 - 13*A*c^3)*x^6 + 36*(9*B*b^2*c - 13*A*b*c^2)*x^4 - 20*A*b^3 - 4*(9*B*b^3 - 13*A*b^2*c)*x^2)/(b^4*c*x^(13/2) + b^5*x^(9/2)) + 1/16*(9*B*b*c^2 - 13*A*c^3)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^4","A",0
207,1,306,0,3.080255," ","integrate(x^(23/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{{\left(25 \, B b^{2} c - 17 \, A b c^{2}\right)} x^{\frac{5}{2}} + {\left(21 \, B b^{3} - 13 \, A b^{2} c\right)} \sqrt{x}}{16 \, {\left(c^{6} x^{4} + 2 \, b c^{5} x^{2} + b^{2} c^{4}\right)}} + \frac{9 \, {\left(\frac{2 \, \sqrt{2} {\left(13 \, B b - 5 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(13 \, B b - 5 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(13 \, B b - 5 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(13 \, B b - 5 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)} b}{128 \, c^{4}} + \frac{2 \, {\left(B c x^{\frac{5}{2}} - 5 \, {\left(3 \, B b - A c\right)} \sqrt{x}\right)}}{5 \, c^{4}}"," ",0,"-1/16*((25*B*b^2*c - 17*A*b*c^2)*x^(5/2) + (21*B*b^3 - 13*A*b^2*c)*sqrt(x))/(c^6*x^4 + 2*b*c^5*x^2 + b^2*c^4) + 9/128*(2*sqrt(2)*(13*B*b - 5*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(13*B*b - 5*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(13*B*b - 5*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(13*B*b - 5*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))*b/c^4 + 2/5*(B*c*x^(5/2) - 5*(3*B*b - A*c)*sqrt(x))/c^4","A",0
208,1,256,0,3.095463," ","integrate(x^(21/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(19 \, B b c - 11 \, A c^{2}\right)} x^{\frac{7}{2}} + {\left(15 \, B b^{2} - 7 \, A b c\right)} x^{\frac{3}{2}}}{16 \, {\left(c^{5} x^{4} + 2 \, b c^{4} x^{2} + b^{2} c^{3}\right)}} + \frac{2 \, B x^{\frac{3}{2}}}{3 \, c^{3}} - \frac{7 \, {\left(11 \, B b - 3 \, A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, c^{3}}"," ",0,"1/16*((19*B*b*c - 11*A*c^2)*x^(7/2) + (15*B*b^2 - 7*A*b*c)*x^(3/2))/(c^5*x^4 + 2*b*c^4*x^2 + b^2*c^3) + 2/3*B*x^(3/2)/c^3 - 7/128*(11*B*b - 3*A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/c^3","A",0
209,1,283,0,3.060224," ","integrate(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(17 \, B b c - 9 \, A c^{2}\right)} x^{\frac{5}{2}} + {\left(13 \, B b^{2} - 5 \, A b c\right)} \sqrt{x}}{16 \, {\left(c^{5} x^{4} + 2 \, b c^{4} x^{2} + b^{2} c^{3}\right)}} + \frac{2 \, B \sqrt{x}}{c^{3}} - \frac{5 \, {\left(\frac{2 \, \sqrt{2} {\left(9 \, B b - A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(9 \, B b - A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(9 \, B b - A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(9 \, B b - A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{128 \, c^{3}}"," ",0,"1/16*((17*B*b*c - 9*A*c^2)*x^(5/2) + (13*B*b^2 - 5*A*b*c)*sqrt(x))/(c^5*x^4 + 2*b*c^4*x^2 + b^2*c^3) + 2*B*sqrt(x)/c^3 - 5/128*(2*sqrt(2)*(9*B*b - A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(9*B*b - A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(9*B*b - A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(9*B*b - A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/c^3","A",0
210,1,251,0,3.109232," ","integrate(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{{\left(11 \, B b c - 3 \, A c^{2}\right)} x^{\frac{7}{2}} + {\left(7 \, B b^{2} + A b c\right)} x^{\frac{3}{2}}}{16 \, {\left(b c^{4} x^{4} + 2 \, b^{2} c^{3} x^{2} + b^{3} c^{2}\right)}} + \frac{3 \, {\left(7 \, B b + A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, b c^{2}}"," ",0,"-1/16*((11*B*b*c - 3*A*c^2)*x^(7/2) + (7*B*b^2 + A*b*c)*x^(3/2))/(b*c^4*x^4 + 2*b^2*c^3*x^2 + b^3*c^2) + 3/128*(7*B*b + A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/(b*c^2)","A",0
211,1,280,0,2.965254," ","integrate(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{{\left(9 \, B b c - A c^{2}\right)} x^{\frac{5}{2}} + {\left(5 \, B b^{2} + 3 \, A b c\right)} \sqrt{x}}{16 \, {\left(b c^{4} x^{4} + 2 \, b^{2} c^{3} x^{2} + b^{3} c^{2}\right)}} + \frac{\frac{2 \, \sqrt{2} {\left(5 \, B b + 3 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(5 \, B b + 3 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(5 \, B b + 3 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(5 \, B b + 3 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}}{128 \, b c^{2}}"," ",0,"-1/16*((9*B*b*c - A*c^2)*x^(5/2) + (5*B*b^2 + 3*A*b*c)*sqrt(x))/(b*c^4*x^4 + 2*b^2*c^3*x^2 + b^3*c^2) + 1/128*(2*sqrt(2)*(5*B*b + 3*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(5*B*b + 3*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(5*B*b + 3*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(5*B*b + 3*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/(b*c^2)","A",0
212,1,253,0,3.013731," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(3 \, B b c + 5 \, A c^{2}\right)} x^{\frac{7}{2}} - {\left(B b^{2} - 9 \, A b c\right)} x^{\frac{3}{2}}}{16 \, {\left(b^{2} c^{3} x^{4} + 2 \, b^{3} c^{2} x^{2} + b^{4} c\right)}} + \frac{{\left(3 \, B b + 5 \, A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, b^{2} c}"," ",0,"1/16*((3*B*b*c + 5*A*c^2)*x^(7/2) - (B*b^2 - 9*A*b*c)*x^(3/2))/(b^2*c^3*x^4 + 2*b^3*c^2*x^2 + b^4*c) + 1/128*(3*B*b + 5*A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/(b^2*c)","A",0
213,1,276,0,3.054404," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{{\left(B b c + 7 \, A c^{2}\right)} x^{\frac{5}{2}} - {\left(3 \, B b^{2} - 11 \, A b c\right)} \sqrt{x}}{16 \, {\left(b^{2} c^{3} x^{4} + 2 \, b^{3} c^{2} x^{2} + b^{4} c\right)}} + \frac{3 \, {\left(\frac{2 \, \sqrt{2} {\left(B b + 7 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(B b + 7 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(B b + 7 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(B b + 7 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{128 \, b^{2} c}"," ",0,"1/16*((B*b*c + 7*A*c^2)*x^(5/2) - (3*B*b^2 - 11*A*b*c)*sqrt(x))/(b^2*c^3*x^4 + 2*b^3*c^2*x^2 + b^4*c) + 3/128*(2*sqrt(2)*(B*b + 7*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(B*b + 7*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(B*b + 7*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(B*b + 7*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/(b^2*c)","A",0
214,1,255,0,3.074208," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{5 \, {\left(B b c - 9 \, A c^{2}\right)} x^{4} - 32 \, A b^{2} + 9 \, {\left(B b^{2} - 9 \, A b c\right)} x^{2}}{16 \, {\left(b^{3} c^{2} x^{\frac{9}{2}} + 2 \, b^{4} c x^{\frac{5}{2}} + b^{5} \sqrt{x}\right)}} + \frac{5 \, {\left(B b - 9 \, A c\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, b^{3}}"," ",0,"1/16*(5*(B*b*c - 9*A*c^2)*x^4 - 32*A*b^2 + 9*(B*b^2 - 9*A*b*c)*x^2)/(b^3*c^2*x^(9/2) + 2*b^4*c*x^(5/2) + b^5*sqrt(x)) + 5/128*(B*b - 9*A*c)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^3","A",0
215,1,285,0,3.089361," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{7 \, {\left(3 \, B b c - 11 \, A c^{2}\right)} x^{4} - 32 \, A b^{2} + 11 \, {\left(3 \, B b^{2} - 11 \, A b c\right)} x^{2}}{48 \, {\left(b^{3} c^{2} x^{\frac{11}{2}} + 2 \, b^{4} c x^{\frac{7}{2}} + b^{5} x^{\frac{3}{2}}\right)}} + \frac{7 \, {\left(\frac{2 \, \sqrt{2} {\left(3 \, B b - 11 \, A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(3 \, B b - 11 \, A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(3 \, B b - 11 \, A c\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(3 \, B b - 11 \, A c\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{128 \, b^{3}}"," ",0,"1/48*(7*(3*B*b*c - 11*A*c^2)*x^4 - 32*A*b^2 + 11*(3*B*b^2 - 11*A*b*c)*x^2)/(b^3*c^2*x^(11/2) + 2*b^4*c*x^(7/2) + b^5*x^(3/2)) + 7/128*(2*sqrt(2)*(3*B*b - 11*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(3*B*b - 11*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(3*B*b - 11*A*c)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(3*B*b - 11*A*c)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^3","A",0
216,1,285,0,3.037709," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{45 \, {\left(5 \, B b c^{2} - 13 \, A c^{3}\right)} x^{6} + 81 \, {\left(5 \, B b^{2} c - 13 \, A b c^{2}\right)} x^{4} + 32 \, A b^{3} + 32 \, {\left(5 \, B b^{3} - 13 \, A b^{2} c\right)} x^{2}}{80 \, {\left(b^{4} c^{2} x^{\frac{13}{2}} + 2 \, b^{5} c x^{\frac{9}{2}} + b^{6} x^{\frac{5}{2}}\right)}} - \frac{9 \, {\left(5 \, B b c - 13 \, A c^{2}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, b^{4}}"," ",0,"-1/80*(45*(5*B*b*c^2 - 13*A*c^3)*x^6 + 81*(5*B*b^2*c - 13*A*b*c^2)*x^4 + 32*A*b^3 + 32*(5*B*b^3 - 13*A*b^2*c)*x^2)/(b^4*c^2*x^(13/2) + 2*b^5*c*x^(9/2) + b^6*x^(5/2)) - 9/128*(5*B*b*c - 13*A*c^2)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^4","A",0
217,1,321,0,3.145247," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","-\frac{77 \, {\left(7 \, B b c^{2} - 15 \, A c^{3}\right)} x^{6} + 121 \, {\left(7 \, B b^{2} c - 15 \, A b c^{2}\right)} x^{4} + 96 \, A b^{3} + 32 \, {\left(7 \, B b^{3} - 15 \, A b^{2} c\right)} x^{2}}{336 \, {\left(b^{4} c^{2} x^{\frac{15}{2}} + 2 \, b^{5} c x^{\frac{11}{2}} + b^{6} x^{\frac{7}{2}}\right)}} - \frac{11 \, {\left(\frac{2 \, \sqrt{2} {\left(7 \, B b c - 15 \, A c^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(7 \, B b c - 15 \, A c^{2}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(7 \, B b c - 15 \, A c^{2}\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(7 \, B b c - 15 \, A c^{2}\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{128 \, b^{4}}"," ",0,"-1/336*(77*(7*B*b*c^2 - 15*A*c^3)*x^6 + 121*(7*B*b^2*c - 15*A*b*c^2)*x^4 + 96*A*b^3 + 32*(7*B*b^3 - 15*A*b^2*c)*x^2)/(b^4*c^2*x^(15/2) + 2*b^5*c*x^(11/2) + b^6*x^(7/2)) - 11/128*(2*sqrt(2)*(7*B*b*c - 15*A*c^2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(7*B*b*c - 15*A*c^2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(7*B*b*c - 15*A*c^2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(7*B*b*c - 15*A*c^2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^4","A",0
218,1,311,0,3.083237," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{585 \, {\left(9 \, B b c^{3} - 17 \, A c^{4}\right)} x^{8} + 1053 \, {\left(9 \, B b^{2} c^{2} - 17 \, A b c^{3}\right)} x^{6} - 160 \, A b^{4} + 416 \, {\left(9 \, B b^{3} c - 17 \, A b^{2} c^{2}\right)} x^{4} - 32 \, {\left(9 \, B b^{4} - 17 \, A b^{3} c\right)} x^{2}}{720 \, {\left(b^{5} c^{2} x^{\frac{17}{2}} + 2 \, b^{6} c x^{\frac{13}{2}} + b^{7} x^{\frac{9}{2}}\right)}} + \frac{13 \, {\left(9 \, B b c^{2} - 17 \, A c^{3}\right)} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{\sqrt{b} \sqrt{c}} \sqrt{c}} - \frac{\sqrt{2} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}} + \frac{\sqrt{2} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{1}{4}} c^{\frac{3}{4}}}\right)}}{128 \, b^{5}}"," ",0,"1/720*(585*(9*B*b*c^3 - 17*A*c^4)*x^8 + 1053*(9*B*b^2*c^2 - 17*A*b*c^3)*x^6 - 160*A*b^4 + 416*(9*B*b^3*c - 17*A*b^2*c^2)*x^4 - 32*(9*B*b^4 - 17*A*b^3*c)*x^2)/(b^5*c^2*x^(17/2) + 2*b^6*c*x^(13/2) + b^7*x^(9/2)) + 13/128*(9*B*b*c^2 - 17*A*c^3)*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(sqrt(b)*sqrt(c))*sqrt(c)) - sqrt(2)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)) + sqrt(2)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(1/4)*c^(3/4)))/b^5","A",0
219,1,353,0,3.096867," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^3/x^(1/2),x, algorithm=""maxima"")","\frac{385 \, {\left(11 \, B b c^{3} - 19 \, A c^{4}\right)} x^{8} + 605 \, {\left(11 \, B b^{2} c^{2} - 19 \, A b c^{3}\right)} x^{6} - 224 \, A b^{4} + 160 \, {\left(11 \, B b^{3} c - 19 \, A b^{2} c^{2}\right)} x^{4} - 32 \, {\left(11 \, B b^{4} - 19 \, A b^{3} c\right)} x^{2}}{1232 \, {\left(b^{5} c^{2} x^{\frac{19}{2}} + 2 \, b^{6} c x^{\frac{15}{2}} + b^{7} x^{\frac{11}{2}}\right)}} + \frac{15 \, {\left(\frac{2 \, \sqrt{2} {\left(11 \, B b c^{2} - 19 \, A c^{3}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} + 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{2 \, \sqrt{2} {\left(11 \, B b c^{2} - 19 \, A c^{3}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} - 2 \, \sqrt{c} \sqrt{x}\right)}}{2 \, \sqrt{\sqrt{b} \sqrt{c}}}\right)}{\sqrt{b} \sqrt{\sqrt{b} \sqrt{c}}} + \frac{\sqrt{2} {\left(11 \, B b c^{2} - 19 \, A c^{3}\right)} \log\left(\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}} - \frac{\sqrt{2} {\left(11 \, B b c^{2} - 19 \, A c^{3}\right)} \log\left(-\sqrt{2} b^{\frac{1}{4}} c^{\frac{1}{4}} \sqrt{x} + \sqrt{c} x + \sqrt{b}\right)}{b^{\frac{3}{4}} c^{\frac{1}{4}}}\right)}}{128 \, b^{5}}"," ",0,"1/1232*(385*(11*B*b*c^3 - 19*A*c^4)*x^8 + 605*(11*B*b^2*c^2 - 19*A*b*c^3)*x^6 - 224*A*b^4 + 160*(11*B*b^3*c - 19*A*b^2*c^2)*x^4 - 32*(11*B*b^4 - 19*A*b^3*c)*x^2)/(b^5*c^2*x^(19/2) + 2*b^6*c*x^(15/2) + b^7*x^(11/2)) + 15/128*(2*sqrt(2)*(11*B*b*c^2 - 19*A*c^3)*arctan(1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) + 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + 2*sqrt(2)*(11*B*b*c^2 - 19*A*c^3)*arctan(-1/2*sqrt(2)*(sqrt(2)*b^(1/4)*c^(1/4) - 2*sqrt(c)*sqrt(x))/sqrt(sqrt(b)*sqrt(c)))/(sqrt(b)*sqrt(sqrt(b)*sqrt(c))) + sqrt(2)*(11*B*b*c^2 - 19*A*c^3)*log(sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)) - sqrt(2)*(11*B*b*c^2 - 19*A*c^3)*log(-sqrt(2)*b^(1/4)*c^(1/4)*sqrt(x) + sqrt(c)*x + sqrt(b))/(b^(3/4)*c^(1/4)))/b^5","A",0
220,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)} x^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)*x^(5/2), x)","F",0
221,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)*x^(3/2), x)","F",0
222,0,0,0,0.000000," ","integrate((B*x^2+A)*x^(1/2)*(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)} \sqrt{x}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)*sqrt(x), x)","F",0
223,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{\sqrt{x}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/sqrt(x), x)","F",0
224,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(3/2), x)","F",0
225,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(5/2), x)","F",0
226,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(7/2), x)","F",0
227,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(9/2), x)","F",0
228,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(11/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(11/2), x)","F",0
229,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(13/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(13/2), x)","F",0
230,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^(15/2),x, algorithm=""maxima"")","\int \frac{\sqrt{c x^{4} + b x^{2}} {\left(B x^{2} + A\right)}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate(sqrt(c*x^4 + b*x^2)*(B*x^2 + A)/x^(15/2), x)","F",0
231,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)} x^{\frac{7}{2}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)*x^(7/2), x)","F",0
232,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)} x^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)*x^(5/2), x)","F",0
233,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)} x^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)*x^(3/2), x)","F",0
234,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)*x^(1/2),x, algorithm=""maxima"")","\int {\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)} \sqrt{x}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)*sqrt(x), x)","F",0
235,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{\sqrt{x}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/sqrt(x), x)","F",0
236,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(3/2), x)","F",0
237,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(5/2), x)","F",0
238,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(7/2), x)","F",0
239,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(9/2), x)","F",0
240,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(11/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(11/2), x)","F",0
241,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(13/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(13/2), x)","F",0
242,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(15/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(15/2), x)","F",0
243,0,0,0,0.000000," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^(17/2),x, algorithm=""maxima"")","\int \frac{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} {\left(B x^{2} + A\right)}}{x^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((c*x^4 + b*x^2)^(3/2)*(B*x^2 + A)/x^(17/2), x)","F",0
244,0,0,0,0.000000," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{13}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(13/2)/sqrt(c*x^4 + b*x^2), x)","F",0
245,0,0,0,0.000000," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{11}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(11/2)/sqrt(c*x^4 + b*x^2), x)","F",0
246,0,0,0,0.000000," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{9}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(9/2)/sqrt(c*x^4 + b*x^2), x)","F",0
247,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{7}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(7/2)/sqrt(c*x^4 + b*x^2), x)","F",0
248,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{5}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(5/2)/sqrt(c*x^4 + b*x^2), x)","F",0
249,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{3}{2}}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(3/2)/sqrt(c*x^4 + b*x^2), x)","F",0
250,0,0,0,0.000000," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} \sqrt{x}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*sqrt(x)/sqrt(c*x^4 + b*x^2), x)","F",0
251,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(1/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} \sqrt{x}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*sqrt(x)), x)","F",0
252,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^(3/2)), x)","F",0
253,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^(5/2)), x)","F",0
254,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(7/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^(7/2)), x)","F",0
255,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(9/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^(9/2)), x)","F",0
256,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(11/2)/(c*x^4+b*x^2)^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{\sqrt{c x^{4} + b x^{2}} x^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/(sqrt(c*x^4 + b*x^2)*x^(11/2)), x)","F",0
257,0,0,0,0.000000," ","integrate(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{17}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(17/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
258,0,0,0,0.000000," ","integrate(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{15}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(15/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
259,0,0,0,0.000000," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{13}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(13/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
260,0,0,0,0.000000," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{11}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(11/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
261,0,0,0,0.000000," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{9}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(9/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
262,0,0,0,0.000000," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{7}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(7/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
263,0,0,0,0.000000," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{5}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(5/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
264,0,0,0,0.000000," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{\frac{3}{2}}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^(3/2)/(c*x^4 + b*x^2)^(3/2), x)","F",0
265,0,0,0,0.000000," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} \sqrt{x}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*sqrt(x)/(c*x^4 + b*x^2)^(3/2), x)","F",0
266,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^(3/2)/x^(1/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} \sqrt{x}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*sqrt(x)), x)","F",0
267,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x^(3/2)), x)","F",0
268,0,0,0,0.000000," ","integrate((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2)^(3/2),x, algorithm=""maxima"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x^(5/2)), x)","F",0
269,1,129,0,1.366262," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""maxima"")","\frac{B c^{3} x^{m + 15}}{m + 15} + \frac{3 \, B b c^{2} x^{m + 13}}{m + 13} + \frac{A c^{3} x^{m + 13}}{m + 13} + \frac{3 \, B b^{2} c x^{m + 11}}{m + 11} + \frac{3 \, A b c^{2} x^{m + 11}}{m + 11} + \frac{B b^{3} x^{m + 9}}{m + 9} + \frac{3 \, A b^{2} c x^{m + 9}}{m + 9} + \frac{A b^{3} x^{m + 7}}{m + 7}"," ",0,"B*c^3*x^(m + 15)/(m + 15) + 3*B*b*c^2*x^(m + 13)/(m + 13) + A*c^3*x^(m + 13)/(m + 13) + 3*B*b^2*c*x^(m + 11)/(m + 11) + 3*A*b*c^2*x^(m + 11)/(m + 11) + B*b^3*x^(m + 9)/(m + 9) + 3*A*b^2*c*x^(m + 9)/(m + 9) + A*b^3*x^(m + 7)/(m + 7)","A",0
270,1,91,0,1.370758," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\frac{B c^{2} x^{m + 11}}{m + 11} + \frac{2 \, B b c x^{m + 9}}{m + 9} + \frac{A c^{2} x^{m + 9}}{m + 9} + \frac{B b^{2} x^{m + 7}}{m + 7} + \frac{2 \, A b c x^{m + 7}}{m + 7} + \frac{A b^{2} x^{m + 5}}{m + 5}"," ",0,"B*c^2*x^(m + 11)/(m + 11) + 2*B*b*c*x^(m + 9)/(m + 9) + A*c^2*x^(m + 9)/(m + 9) + B*b^2*x^(m + 7)/(m + 7) + 2*A*b*c*x^(m + 7)/(m + 7) + A*b^2*x^(m + 5)/(m + 5)","A",0
271,1,53,0,1.299882," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""maxima"")","\frac{B c x^{m + 7}}{m + 7} + \frac{B b x^{m + 5}}{m + 5} + \frac{A c x^{m + 5}}{m + 5} + \frac{A b x^{m + 3}}{m + 3}"," ",0,"B*c*x^(m + 7)/(m + 7) + B*b*x^(m + 5)/(m + 5) + A*c*x^(m + 5)/(m + 5) + A*b*x^(m + 3)/(m + 3)","A",0
272,0,0,0,0.000000," ","integrate(x^m*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{m}}{c x^{4} + b x^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^m/(c*x^4 + b*x^2), x)","F",0
273,0,0,0,0.000000," ","integrate(x^m*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""maxima"")","\int \frac{{\left(B x^{2} + A\right)} x^{m}}{{\left(c x^{4} + b x^{2}\right)}^{2}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^m/(c*x^4 + b*x^2)^2, x)","F",0
274,0,0,0,0.000000," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2)^p,x, algorithm=""maxima"")","\int {\left(B x^{2} + A\right)} {\left(c x^{4} + b x^{2}\right)}^{p} x^{m}\,{d x}"," ",0,"integrate((B*x^2 + A)*(c*x^4 + b*x^2)^p*x^m, x)","F",0
275,1,112,0,2.041934," ","integrate(x^(-j*p+n-1)*(c+d*x^n)*(a*x^j+b*x^(j+n))^p,x, algorithm=""maxima"")","\frac{{\left(b x^{n} + a\right)} c e^{\left(-j p \log\left(x\right) + p \log\left(b x^{n} + a\right) + p \log\left(x^{j}\right)\right)}}{b n {\left(p + 1\right)}} + \frac{{\left(b^{2} {\left(p + 1\right)} x^{2 \, n} + a b p x^{n} - a^{2}\right)} d e^{\left(-j p \log\left(x\right) + p \log\left(b x^{n} + a\right) + p \log\left(x^{j}\right)\right)}}{{\left(p^{2} + 3 \, p + 2\right)} b^{2} n}"," ",0,"(b*x^n + a)*c*e^(-j*p*log(x) + p*log(b*x^n + a) + p*log(x^j))/(b*n*(p + 1)) + (b^2*(p + 1)*x^(2*n) + a*b*p*x^n - a^2)*d*e^(-j*p*log(x) + p*log(b*x^n + a) + p*log(x^j))/((p^2 + 3*p + 2)*b^2*n)","A",0
276,0,0,0,0.000000," ","integrate((e*x)^m*(c+d*x^n)^q*(a*x^j+b*x^(j+n))^p,x, algorithm=""maxima"")","\int {\left(b x^{j + n} + a x^{j}\right)}^{p} {\left(d x^{n} + c\right)}^{q} \left(e x\right)^{m}\,{d x}"," ",0,"integrate((b*x^(j + n) + a*x^j)^p*(d*x^n + c)^q*(e*x)^m, x)","F",0
277,0,0,0,0.000000," ","integrate((e*x)^(7/4)*(c+d*x^n)^q*(a*x^j+b*x^(j+n))^(5/3),x, algorithm=""maxima"")","\int {\left(b x^{j + n} + a x^{j}\right)}^{\frac{5}{3}} \left(e x\right)^{\frac{7}{4}} {\left(d x^{n} + c\right)}^{q}\,{d x}"," ",0,"integrate((b*x^(j + n) + a*x^j)^(5/3)*(e*x)^(7/4)*(d*x^n + c)^q, x)","F",0
278,1,15,0,2.908524," ","integrate((3*x^4+4)/(2*x^5+5*x),x, algorithm=""maxima"")","\frac{7}{40} \, \log\left(2 \, x^{4} + 5\right) + \frac{4}{5} \, \log\left(x\right)"," ",0,"7/40*log(2*x^4 + 5) + 4/5*log(x)","A",0
279,1,35,0,3.010306," ","integrate((x^6+1)/(-x^7+x),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(x^{2} + x + 1\right) - \frac{1}{3} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left(x + 1\right) - \frac{1}{3} \, \log\left(x - 1\right) + \log\left(x\right)"," ",0,"-1/3*log(x^2 + x + 1) - 1/3*log(x^2 - x + 1) - 1/3*log(x + 1) - 1/3*log(x - 1) + log(x)","B",0
280,1,13,0,2.938910," ","integrate((5*x^10+8)/(-x^11+2*x),x, algorithm=""maxima"")","-\frac{9}{10} \, \log\left(x^{10} - 2\right) + 4 \, \log\left(x\right)"," ",0,"-9/10*log(x^10 - 2) + 4*log(x)","A",0
281,1,14,0,1.622978," ","integrate((-3+2*x)/(x^3-x^2),x, algorithm=""maxima"")","-\frac{3}{x} - \log\left(x - 1\right) + \log\left(x\right)"," ",0,"-3/x - log(x - 1) + log(x)","A",0
282,0,0,0,0.000000," ","integrate((a*x^m+b*x^n)/(c*x^m+d*x^n),x, algorithm=""maxima"")","-{\left(b c - a d\right)} \int \frac{x^{m}}{c d x^{m} + d^{2} x^{n}}\,{d x} + \frac{b x}{d}"," ",0,"-(b*c - a*d)*integrate(x^m/(c*d*x^m + d^2*x^n), x) + b*x/d","F",0
283,1,37,0,2.150409," ","integrate(x^m*(a+b*x^n)^p*(a*(1+m+q)*x^q+b*(1+m+n*(1+p)+q)*x^(n+q)),x, algorithm=""maxima"")","{\left(a x x^{m} + b x e^{\left(m \log\left(x\right) + n \log\left(x\right)\right)}\right)} e^{\left(p \log\left(b x^{n} + a\right) + q \log\left(x\right)\right)}"," ",0,"(a*x*x^m + b*x*e^(m*log(x) + n*log(x)))*e^(p*log(b*x^n + a) + q*log(x))","B",0
284,0,0,0,0.000000," ","integrate((a+b/x)^n*x^m/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x^{m}}{d x + c}\,{d x}"," ",0,"integrate((a + b/x)^n*x^m/(d*x + c), x)","F",0
285,0,0,0,0.000000," ","integrate((a+b/x)^n*x^2/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x^{2}}{d x + c}\,{d x}"," ",0,"integrate((a + b/x)^n*x^2/(d*x + c), x)","F",0
286,0,0,0,0.000000," ","integrate((a+b/x)^n*x/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x}{d x + c}\,{d x}"," ",0,"integrate((a + b/x)^n*x/(d*x + c), x)","F",0
287,0,0,0,0.000000," ","integrate((a+b/x)^n/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{d x + c}\,{d x}"," ",0,"integrate((a + b/x)^n/(d*x + c), x)","F",0
288,0,0,0,0.000000," ","integrate((a+b/x)^n/x/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)} x}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)*x), x)","F",0
289,0,0,0,0.000000," ","integrate((a+b/x)^n/x^2/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)} x^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)*x^2), x)","F",0
290,0,0,0,0.000000," ","integrate((a+b/x)^n/x^3/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)} x^{3}}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)*x^3), x)","F",0
291,0,0,0,0.000000," ","integrate((a+b/x)^n/x^5/(d*x+c),x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)} x^{5}}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)*x^5), x)","F",0
292,0,0,0,0.000000," ","integrate((a+b/x)^n*x^m/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x^{m}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n*x^m/(d*x + c)^2, x)","F",0
293,0,0,0,0.000000," ","integrate((a+b/x)^n*x^2/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x^{2}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n*x^2/(d*x + c)^2, x)","F",0
294,0,0,0,0.000000," ","integrate((a+b/x)^n*x/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n} x}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n*x/(d*x + c)^2, x)","F",0
295,0,0,0,0.000000," ","integrate((a+b/x)^n/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n/(d*x + c)^2, x)","F",0
296,0,0,0,0.000000," ","integrate((a+b/x)^n/x/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)}^{2} x}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)^2*x), x)","F",0
297,0,0,0,0.000000," ","integrate((a+b/x)^n/x^2/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)}^{2} x^{2}}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)^2*x^2), x)","F",0
298,0,0,0,0.000000," ","integrate((a+b/x)^n/x^3/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{{\left(a + \frac{b}{x}\right)}^{n}}{{\left(d x + c\right)}^{2} x^{3}}\,{d x}"," ",0,"integrate((a + b/x)^n/((d*x + c)^2*x^3), x)","F",0
