1,1,29,0,0.150276," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{1}{9} \, B c x^{9} + \frac{1}{7} \, B b x^{7} + \frac{1}{7} \, A c x^{7} + \frac{1}{5} \, A b x^{5}"," ",0,"1/9*B*c*x^9 + 1/7*B*b*x^7 + 1/7*A*c*x^7 + 1/5*A*b*x^5","A",0
2,1,29,0,0.149469," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{1}{8} \, B c x^{8} + \frac{1}{6} \, B b x^{6} + \frac{1}{6} \, A c x^{6} + \frac{1}{4} \, A b x^{4}"," ",0,"1/8*B*c*x^8 + 1/6*B*b*x^6 + 1/6*A*c*x^6 + 1/4*A*b*x^4","A",0
3,1,29,0,0.193414," ","integrate((B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{1}{7} \, B c x^{7} + \frac{1}{5} \, B b x^{5} + \frac{1}{5} \, A c x^{5} + \frac{1}{3} \, A b x^{3}"," ",0,"1/7*B*c*x^7 + 1/5*B*b*x^5 + 1/5*A*c*x^5 + 1/3*A*b*x^3","A",0
4,1,29,0,0.147981," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x,x, algorithm=""giac"")","\frac{1}{6} \, B c x^{6} + \frac{1}{4} \, B b x^{4} + \frac{1}{4} \, A c x^{4} + \frac{1}{2} \, A b x^{2}"," ",0,"1/6*B*c*x^6 + 1/4*B*b*x^4 + 1/4*A*c*x^4 + 1/2*A*b*x^2","A",0
5,1,26,0,0.146114," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^2,x, algorithm=""giac"")","\frac{1}{5} \, B c x^{5} + \frac{1}{3} \, B b x^{3} + \frac{1}{3} \, A c x^{3} + A b x"," ",0,"1/5*B*c*x^5 + 1/3*B*b*x^3 + 1/3*A*c*x^3 + A*b*x","A",0
6,1,30,0,0.146636," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^3,x, algorithm=""giac"")","\frac{1}{4} \, B c x^{4} + \frac{1}{2} \, B b x^{2} + \frac{1}{2} \, A c x^{2} + \frac{1}{2} \, A b \log\left(x^{2}\right)"," ",0,"1/4*B*c*x^4 + 1/2*B*b*x^2 + 1/2*A*c*x^2 + 1/2*A*b*log(x^2)","A",0
7,1,23,0,0.157571," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^4,x, algorithm=""giac"")","\frac{1}{3} \, B c x^{3} + B b x + A c x - \frac{A b}{x}"," ",0,"1/3*B*c*x^3 + B*b*x + A*c*x - A*b/x","A",0
8,1,42,0,0.162359," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^5,x, algorithm=""giac"")","\frac{1}{2} \, B c x^{2} + \frac{1}{2} \, {\left(B b + A c\right)} \log\left(x^{2}\right) - \frac{B b x^{2} + A c x^{2} + A b}{2 \, x^{2}}"," ",0,"1/2*B*c*x^2 + 1/2*(B*b + A*c)*log(x^2) - 1/2*(B*b*x^2 + A*c*x^2 + A*b)/x^2","A",0
9,1,28,0,0.169347," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^6,x, algorithm=""giac"")","B c x - \frac{3 \, B b x^{2} + 3 \, A c x^{2} + A b}{3 \, x^{3}}"," ",0,"B*c*x - 1/3*(3*B*b*x^2 + 3*A*c*x^2 + A*b)/x^3","A",0
10,1,39,0,0.152642," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^7,x, algorithm=""giac"")","\frac{1}{2} \, B c \log\left(x^{2}\right) - \frac{3 \, B c x^{4} + 2 \, B b x^{2} + 2 \, A c x^{2} + A b}{4 \, x^{4}}"," ",0,"1/2*B*c*log(x^2) - 1/4*(3*B*c*x^4 + 2*B*b*x^2 + 2*A*c*x^2 + A*b)/x^4","A",0
11,1,31,0,0.147703," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^8,x, algorithm=""giac"")","-\frac{15 \, B c x^{4} + 5 \, B b x^{2} + 5 \, A c x^{2} + 3 \, A b}{15 \, x^{5}}"," ",0,"-1/15*(15*B*c*x^4 + 5*B*b*x^2 + 5*A*c*x^2 + 3*A*b)/x^5","A",0
12,1,53,0,0.145306," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{1}{11} \, B c^{2} x^{11} + \frac{2}{9} \, B b c x^{9} + \frac{1}{9} \, A c^{2} x^{9} + \frac{1}{7} \, B b^{2} x^{7} + \frac{2}{7} \, A b c x^{7} + \frac{1}{5} \, A b^{2} x^{5}"," ",0,"1/11*B*c^2*x^11 + 2/9*B*b*c*x^9 + 1/9*A*c^2*x^9 + 1/7*B*b^2*x^7 + 2/7*A*b*c*x^7 + 1/5*A*b^2*x^5","A",0
13,1,53,0,0.149520," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x,x, algorithm=""giac"")","\frac{1}{10} \, B c^{2} x^{10} + \frac{1}{4} \, B b c x^{8} + \frac{1}{8} \, A c^{2} x^{8} + \frac{1}{6} \, B b^{2} x^{6} + \frac{1}{3} \, A b c x^{6} + \frac{1}{4} \, A b^{2} x^{4}"," ",0,"1/10*B*c^2*x^10 + 1/4*B*b*c*x^8 + 1/8*A*c^2*x^8 + 1/6*B*b^2*x^6 + 1/3*A*b*c*x^6 + 1/4*A*b^2*x^4","A",0
14,1,53,0,0.166682," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^2,x, algorithm=""giac"")","\frac{1}{9} \, B c^{2} x^{9} + \frac{2}{7} \, B b c x^{7} + \frac{1}{7} \, A c^{2} x^{7} + \frac{1}{5} \, B b^{2} x^{5} + \frac{2}{5} \, A b c x^{5} + \frac{1}{3} \, A b^{2} x^{3}"," ",0,"1/9*B*c^2*x^9 + 2/7*B*b*c*x^7 + 1/7*A*c^2*x^7 + 1/5*B*b^2*x^5 + 2/5*A*b*c*x^5 + 1/3*A*b^2*x^3","A",0
15,1,53,0,0.161700," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^3,x, algorithm=""giac"")","\frac{1}{8} \, B c^{2} x^{8} + \frac{1}{3} \, B b c x^{6} + \frac{1}{6} \, A c^{2} x^{6} + \frac{1}{4} \, B b^{2} x^{4} + \frac{1}{2} \, A b c x^{4} + \frac{1}{2} \, A b^{2} x^{2}"," ",0,"1/8*B*c^2*x^8 + 1/3*B*b*c*x^6 + 1/6*A*c^2*x^6 + 1/4*B*b^2*x^4 + 1/2*A*b*c*x^4 + 1/2*A*b^2*x^2","A",0
16,1,50,0,0.174134," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^4,x, algorithm=""giac"")","\frac{1}{7} \, B c^{2} x^{7} + \frac{2}{5} \, B b c x^{5} + \frac{1}{5} \, A c^{2} x^{5} + \frac{1}{3} \, B b^{2} x^{3} + \frac{2}{3} \, A b c x^{3} + A b^{2} x"," ",0,"1/7*B*c^2*x^7 + 2/5*B*b*c*x^5 + 1/5*A*c^2*x^5 + 1/3*B*b^2*x^3 + 2/3*A*b*c*x^3 + A*b^2*x","A",0
17,1,53,0,0.146293," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^5,x, algorithm=""giac"")","\frac{1}{6} \, B c^{2} x^{6} + \frac{1}{2} \, B b c x^{4} + \frac{1}{4} \, A c^{2} x^{4} + \frac{1}{2} \, B b^{2} x^{2} + A b c x^{2} + \frac{1}{2} \, A b^{2} \log\left(x^{2}\right)"," ",0,"1/6*B*c^2*x^6 + 1/2*B*b*c*x^4 + 1/4*A*c^2*x^4 + 1/2*B*b^2*x^2 + A*b*c*x^2 + 1/2*A*b^2*log(x^2)","A",0
18,1,48,0,0.148871," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^6,x, algorithm=""giac"")","\frac{1}{5} \, B c^{2} x^{5} + \frac{2}{3} \, B b c x^{3} + \frac{1}{3} \, A c^{2} x^{3} + B b^{2} x + 2 \, A b c x - \frac{A b^{2}}{x}"," ",0,"1/5*B*c^2*x^5 + 2/3*B*b*c*x^3 + 1/3*A*c^2*x^3 + B*b^2*x + 2*A*b*c*x - A*b^2/x","A",0
19,1,70,0,0.187176," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^7,x, algorithm=""giac"")","\frac{1}{4} \, B c^{2} x^{4} + B b c x^{2} + \frac{1}{2} \, A c^{2} x^{2} + \frac{1}{2} \, {\left(B b^{2} + 2 \, A b c\right)} \log\left(x^{2}\right) - \frac{B b^{2} x^{2} + 2 \, A b c x^{2} + A b^{2}}{2 \, x^{2}}"," ",0,"1/4*B*c^2*x^4 + B*b*c*x^2 + 1/2*A*c^2*x^2 + 1/2*(B*b^2 + 2*A*b*c)*log(x^2) - 1/2*(B*b^2*x^2 + 2*A*b*c*x^2 + A*b^2)/x^2","A",0
20,1,50,0,0.143236," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^8,x, algorithm=""giac"")","\frac{1}{3} \, B c^{2} x^{3} + 2 \, B b c x + A c^{2} x - \frac{3 \, B b^{2} x^{2} + 6 \, A b c x^{2} + A b^{2}}{3 \, x^{3}}"," ",0,"1/3*B*c^2*x^3 + 2*B*b*c*x + A*c^2*x - 1/3*(3*B*b^2*x^2 + 6*A*b*c*x^2 + A*b^2)/x^3","A",0
21,1,72,0,0.188287," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^9,x, algorithm=""giac"")","\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{6 \, B b c x^{4} + 3 \, A c^{2} x^{4} + 2 \, B b^{2} x^{2} + 4 \, A b c x^{2} + A b^{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*(6*B*b*c*x^4 + 3*A*c^2*x^4 + 2*B*b^2*x^2 + 4*A*b*c*x^2 + A*b^2)/x^4","A",0
22,1,53,0,0.154576," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^10,x, algorithm=""giac"")","B c^{2} x - \frac{30 \, B b c x^{4} + 15 \, A c^{2} x^{4} + 5 \, B b^{2} x^{2} + 10 \, A b c x^{2} + 3 \, A b^{2}}{15 \, x^{5}}"," ",0,"B*c^2*x - 1/15*(30*B*b*c*x^4 + 15*A*c^2*x^4 + 5*B*b^2*x^2 + 10*A*b*c*x^2 + 3*A*b^2)/x^5","A",0
23,1,66,0,0.191486," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^11,x, algorithm=""giac"")","\frac{1}{2} \, B c^{2} \log\left(x^{2}\right) - \frac{11 \, B c^{2} x^{6} + 12 \, B b c x^{4} + 6 \, A c^{2} x^{4} + 3 \, B b^{2} x^{2} + 6 \, A b c x^{2} + 2 \, A b^{2}}{12 \, x^{6}}"," ",0,"1/2*B*c^2*log(x^2) - 1/12*(11*B*c^2*x^6 + 12*B*b*c*x^4 + 6*A*c^2*x^4 + 3*B*b^2*x^2 + 6*A*b*c*x^2 + 2*A*b^2)/x^6","A",0
24,1,55,0,0.150298," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^12,x, algorithm=""giac"")","-\frac{105 \, B c^{2} x^{6} + 70 \, B b c x^{4} + 35 \, A c^{2} x^{4} + 21 \, B b^{2} x^{2} + 42 \, A b c x^{2} + 15 \, A b^{2}}{105 \, x^{7}}"," ",0,"-1/105*(105*B*c^2*x^6 + 70*B*b*c*x^4 + 35*A*c^2*x^4 + 21*B*b^2*x^2 + 42*A*b*c*x^2 + 15*A*b^2)/x^7","A",0
25,1,77,0,0.187582," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^2,x, algorithm=""giac"")","\frac{1}{13} \, B c^{3} x^{13} + \frac{3}{11} \, B b c^{2} x^{11} + \frac{1}{11} \, A c^{3} x^{11} + \frac{1}{3} \, B b^{2} c x^{9} + \frac{1}{3} \, A b c^{2} x^{9} + \frac{1}{7} \, B b^{3} x^{7} + \frac{3}{7} \, A b^{2} c x^{7} + \frac{1}{5} \, A b^{3} x^{5}"," ",0,"1/13*B*c^3*x^13 + 3/11*B*b*c^2*x^11 + 1/11*A*c^3*x^11 + 1/3*B*b^2*c*x^9 + 1/3*A*b*c^2*x^9 + 1/7*B*b^3*x^7 + 3/7*A*b^2*c*x^7 + 1/5*A*b^3*x^5","A",0
26,1,77,0,0.212028," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^3,x, algorithm=""giac"")","\frac{1}{12} \, B c^{3} x^{12} + \frac{3}{10} \, B b c^{2} x^{10} + \frac{1}{10} \, A c^{3} x^{10} + \frac{3}{8} \, B b^{2} c x^{8} + \frac{3}{8} \, A b c^{2} x^{8} + \frac{1}{6} \, B b^{3} x^{6} + \frac{1}{2} \, A b^{2} c x^{6} + \frac{1}{4} \, A b^{3} x^{4}"," ",0,"1/12*B*c^3*x^12 + 3/10*B*b*c^2*x^10 + 1/10*A*c^3*x^10 + 3/8*B*b^2*c*x^8 + 3/8*A*b*c^2*x^8 + 1/6*B*b^3*x^6 + 1/2*A*b^2*c*x^6 + 1/4*A*b^3*x^4","A",0
27,1,77,0,0.152555," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^4,x, algorithm=""giac"")","\frac{1}{11} \, B c^{3} x^{11} + \frac{1}{3} \, B b c^{2} x^{9} + \frac{1}{9} \, A c^{3} x^{9} + \frac{3}{7} \, B b^{2} c x^{7} + \frac{3}{7} \, A b c^{2} x^{7} + \frac{1}{5} \, B b^{3} x^{5} + \frac{3}{5} \, A b^{2} c x^{5} + \frac{1}{3} \, A b^{3} x^{3}"," ",0,"1/11*B*c^3*x^11 + 1/3*B*b*c^2*x^9 + 1/9*A*c^3*x^9 + 3/7*B*b^2*c*x^7 + 3/7*A*b*c^2*x^7 + 1/5*B*b^3*x^5 + 3/5*A*b^2*c*x^5 + 1/3*A*b^3*x^3","A",0
28,1,77,0,0.152825," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^5,x, algorithm=""giac"")","\frac{1}{10} \, B c^{3} x^{10} + \frac{3}{8} \, B b c^{2} x^{8} + \frac{1}{8} \, A c^{3} x^{8} + \frac{1}{2} \, B b^{2} c x^{6} + \frac{1}{2} \, A b c^{2} x^{6} + \frac{1}{4} \, B b^{3} x^{4} + \frac{3}{4} \, A b^{2} c x^{4} + \frac{1}{2} \, A b^{3} x^{2}"," ",0,"1/10*B*c^3*x^10 + 3/8*B*b*c^2*x^8 + 1/8*A*c^3*x^8 + 1/2*B*b^2*c*x^6 + 1/2*A*b*c^2*x^6 + 1/4*B*b^3*x^4 + 3/4*A*b^2*c*x^4 + 1/2*A*b^3*x^2","B",0
29,1,73,0,0.165508," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^6,x, algorithm=""giac"")","\frac{1}{9} \, B c^{3} x^{9} + \frac{3}{7} \, B b c^{2} x^{7} + \frac{1}{7} \, A c^{3} x^{7} + \frac{3}{5} \, B b^{2} c x^{5} + \frac{3}{5} \, A b c^{2} x^{5} + \frac{1}{3} \, B b^{3} x^{3} + A b^{2} c x^{3} + A b^{3} x"," ",0,"1/9*B*c^3*x^9 + 3/7*B*b*c^2*x^7 + 1/7*A*c^3*x^7 + 3/5*B*b^2*c*x^5 + 3/5*A*b*c^2*x^5 + 1/3*B*b^3*x^3 + A*b^2*c*x^3 + A*b^3*x","A",0
30,1,78,0,0.152206," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^7,x, algorithm=""giac"")","\frac{1}{8} \, B c^{3} x^{8} + \frac{1}{2} \, B b c^{2} x^{6} + \frac{1}{6} \, A c^{3} x^{6} + \frac{3}{4} \, B b^{2} c x^{4} + \frac{3}{4} \, A b c^{2} x^{4} + \frac{1}{2} \, B b^{3} x^{2} + \frac{3}{2} \, A b^{2} c x^{2} + \frac{1}{2} \, A b^{3} \log\left(x^{2}\right)"," ",0,"1/8*B*c^3*x^8 + 1/2*B*b*c^2*x^6 + 1/6*A*c^3*x^6 + 3/4*B*b^2*c*x^4 + 3/4*A*b*c^2*x^4 + 1/2*B*b^3*x^2 + 3/2*A*b^2*c*x^2 + 1/2*A*b^3*log(x^2)","A",0
31,1,70,0,0.156284," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^8,x, algorithm=""giac"")","\frac{1}{7} \, B c^{3} x^{7} + \frac{3}{5} \, B b c^{2} x^{5} + \frac{1}{5} \, A c^{3} x^{5} + B b^{2} c x^{3} + A b c^{2} x^{3} + B b^{3} x + 3 \, A b^{2} c x - \frac{A b^{3}}{x}"," ",0,"1/7*B*c^3*x^7 + 3/5*B*b*c^2*x^5 + 1/5*A*c^3*x^5 + B*b^2*c*x^3 + A*b*c^2*x^3 + B*b^3*x + 3*A*b^2*c*x - A*b^3/x","A",0
32,1,97,0,0.173181," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^9,x, algorithm=""giac"")","\frac{1}{6} \, B c^{3} x^{6} + \frac{3}{4} \, B b c^{2} x^{4} + \frac{1}{4} \, A c^{3} x^{4} + \frac{3}{2} \, B b^{2} c x^{2} + \frac{3}{2} \, A b c^{2} x^{2} + \frac{1}{2} \, {\left(B b^{3} + 3 \, A b^{2} c\right)} \log\left(x^{2}\right) - \frac{B b^{3} x^{2} + 3 \, A b^{2} c x^{2} + A b^{3}}{2 \, x^{2}}"," ",0,"1/6*B*c^3*x^6 + 3/4*B*b*c^2*x^4 + 1/4*A*c^3*x^4 + 3/2*B*b^2*c*x^2 + 3/2*A*b*c^2*x^2 + 1/2*(B*b^3 + 3*A*b^2*c)*log(x^2) - 1/2*(B*b^3*x^2 + 3*A*b^2*c*x^2 + A*b^3)/x^2","A",0
33,1,74,0,0.150925," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^10,x, algorithm=""giac"")","\frac{1}{5} \, B c^{3} x^{5} + B b c^{2} x^{3} + \frac{1}{3} \, A c^{3} x^{3} + 3 \, B b^{2} c x + 3 \, A b c^{2} x - \frac{3 \, B b^{3} x^{2} + 9 \, A b^{2} c x^{2} + A b^{3}}{3 \, x^{3}}"," ",0,"1/5*B*c^3*x^5 + B*b*c^2*x^3 + 1/3*A*c^3*x^3 + 3*B*b^2*c*x + 3*A*b*c^2*x - 1/3*(3*B*b^3*x^2 + 9*A*b^2*c*x^2 + A*b^3)/x^3","A",0
34,1,98,0,0.153489," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^11,x, algorithm=""giac"")","\frac{1}{4} \, B c^{3} x^{4} + \frac{3}{2} \, B b c^{2} x^{2} + \frac{1}{2} \, A c^{3} x^{2} + \frac{3}{2} \, {\left(B b^{2} c + A b c^{2}\right)} \log\left(x^{2}\right) - \frac{9 \, B b^{2} c x^{4} + 9 \, A b c^{2} x^{4} + 2 \, B b^{3} x^{2} + 6 \, A b^{2} c x^{2} + A b^{3}}{4 \, x^{4}}"," ",0,"1/4*B*c^3*x^4 + 3/2*B*b*c^2*x^2 + 1/2*A*c^3*x^2 + 3/2*(B*b^2*c + A*b*c^2)*log(x^2) - 1/4*(9*B*b^2*c*x^4 + 9*A*b*c^2*x^4 + 2*B*b^3*x^2 + 6*A*b^2*c*x^2 + A*b^3)/x^4","A",0
35,1,75,0,0.164207," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^12,x, algorithm=""giac"")","\frac{1}{3} \, B c^{3} x^{3} + 3 \, B b c^{2} x + A c^{3} x - \frac{45 \, B b^{2} c x^{4} + 45 \, A b c^{2} x^{4} + 5 \, B b^{3} x^{2} + 15 \, A b^{2} c x^{2} + 3 \, A b^{3}}{15 \, x^{5}}"," ",0,"1/3*B*c^3*x^3 + 3*B*b*c^2*x + A*c^3*x - 1/15*(45*B*b^2*c*x^4 + 45*A*b*c^2*x^4 + 5*B*b^3*x^2 + 15*A*b^2*c*x^2 + 3*A*b^3)/x^5","A",0
36,1,99,0,0.151913," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^13,x, algorithm=""giac"")","\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{33 \, B b c^{2} x^{6} + 11 \, A c^{3} x^{6} + 18 \, B b^{2} c x^{4} + 18 \, A b c^{2} x^{4} + 3 \, B b^{3} x^{2} + 9 \, A b^{2} c x^{2} + 2 \, A b^{3}}{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*(33*B*b*c^2*x^6 + 11*A*c^3*x^6 + 18*B*b^2*c*x^4 + 18*A*b*c^2*x^4 + 3*B*b^3*x^2 + 9*A*b^2*c*x^2 + 2*A*b^3)/x^6","A",0
37,1,77,0,0.209690," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^14,x, algorithm=""giac"")","B c^{3} x - \frac{105 \, B b c^{2} x^{6} + 35 \, A c^{3} x^{6} + 35 \, B b^{2} c x^{4} + 35 \, A b c^{2} x^{4} + 7 \, B b^{3} x^{2} + 21 \, A b^{2} c x^{2} + 5 \, A b^{3}}{35 \, x^{7}}"," ",0,"B*c^3*x - 1/35*(105*B*b*c^2*x^6 + 35*A*c^3*x^6 + 35*B*b^2*c*x^4 + 35*A*b*c^2*x^4 + 7*B*b^3*x^2 + 21*A*b^2*c*x^2 + 5*A*b^3)/x^7","A",0
38,1,90,0,0.166994," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^15,x, algorithm=""giac"")","\frac{1}{2} \, B c^{3} \log\left(x^{2}\right) - \frac{25 \, B c^{3} x^{8} + 36 \, B b c^{2} x^{6} + 12 \, A c^{3} x^{6} + 18 \, B b^{2} c x^{4} + 18 \, A b c^{2} x^{4} + 4 \, B b^{3} x^{2} + 12 \, A b^{2} c x^{2} + 3 \, A b^{3}}{24 \, x^{8}}"," ",0,"1/2*B*c^3*log(x^2) - 1/24*(25*B*c^3*x^8 + 36*B*b*c^2*x^6 + 12*A*c^3*x^6 + 18*B*b^2*c*x^4 + 18*A*b*c^2*x^4 + 4*B*b^3*x^2 + 12*A*b^2*c*x^2 + 3*A*b^3)/x^8","A",0
39,1,79,0,0.151930," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^16,x, algorithm=""giac"")","-\frac{315 \, B c^{3} x^{8} + 315 \, B b c^{2} x^{6} + 105 \, A c^{3} x^{6} + 189 \, B b^{2} c x^{4} + 189 \, A b c^{2} x^{4} + 45 \, B b^{3} x^{2} + 135 \, A b^{2} c x^{2} + 35 \, A b^{3}}{315 \, x^{9}}"," ",0,"-1/315*(315*B*c^3*x^8 + 315*B*b*c^2*x^6 + 105*A*c^3*x^6 + 189*B*b^2*c*x^4 + 189*A*b*c^2*x^4 + 45*B*b^3*x^2 + 135*A*b^2*c*x^2 + 35*A*b^3)/x^9","A",0
40,1,79,0,0.156610," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^17,x, algorithm=""giac"")","-\frac{20 \, B c^{3} x^{8} + 30 \, B b c^{2} x^{6} + 10 \, A c^{3} x^{6} + 20 \, B b^{2} c x^{4} + 20 \, A b c^{2} x^{4} + 5 \, B b^{3} x^{2} + 15 \, A b^{2} c x^{2} + 4 \, A b^{3}}{40 \, x^{10}}"," ",0,"-1/40*(20*B*c^3*x^8 + 30*B*b*c^2*x^6 + 10*A*c^3*x^6 + 20*B*b^2*c*x^4 + 20*A*b*c^2*x^4 + 5*B*b^3*x^2 + 15*A*b^2*c*x^2 + 4*A*b^3)/x^10","A",0
41,1,133,0,0.170164," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\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^{8} x^{9} - 45 \, B b c^{7} x^{7} + 45 \, A c^{8} x^{7} + 63 \, B b^{2} c^{6} x^{5} - 63 \, A b c^{7} x^{5} - 105 \, B b^{3} c^{5} x^{3} + 105 \, A b^{2} c^{6} x^{3} + 315 \, B b^{4} c^{4} x - 315 \, A b^{3} c^{5} x}{315 \, c^{9}}"," ",0,"-(B*b^5 - A*b^4*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) + 1/315*(35*B*c^8*x^9 - 45*B*b*c^7*x^7 + 45*A*c^8*x^7 + 63*B*b^2*c^6*x^5 - 63*A*b*c^7*x^5 - 105*B*b^3*c^5*x^3 + 105*A*b^2*c^6*x^3 + 315*B*b^4*c^4*x - 315*A*b^3*c^5*x)/c^9","A",0
42,1,101,0,0.151860," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{3 \, B c^{3} x^{8} - 4 \, B b c^{2} x^{6} + 4 \, A c^{3} x^{6} + 6 \, B b^{2} c x^{4} - 6 \, A b c^{2} x^{4} - 12 \, B b^{3} x^{2} + 12 \, A b^{2} c x^{2}}{24 \, c^{4}} + \frac{{\left(B b^{4} - A b^{3} c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{5}}"," ",0,"1/24*(3*B*c^3*x^8 - 4*B*b*c^2*x^6 + 4*A*c^3*x^6 + 6*B*b^2*c*x^4 - 6*A*b*c^2*x^4 - 12*B*b^3*x^2 + 12*A*b^2*c*x^2)/c^4 + 1/2*(B*b^4 - A*b^3*c)*log(abs(c*x^2 + b))/c^5","A",0
43,1,108,0,0.182455," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\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^{6} x^{7} - 21 \, B b c^{5} x^{5} + 21 \, A c^{6} x^{5} + 35 \, B b^{2} c^{4} x^{3} - 35 \, A b c^{5} x^{3} - 105 \, B b^{3} c^{3} x + 105 \, A b^{2} c^{4} x}{105 \, c^{7}}"," ",0,"(B*b^4 - A*b^3*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) + 1/105*(15*B*c^6*x^7 - 21*B*b*c^5*x^5 + 21*A*c^6*x^5 + 35*B*b^2*c^4*x^3 - 35*A*b*c^5*x^3 - 105*B*b^3*c^3*x + 105*A*b^2*c^4*x)/c^7","A",0
44,1,77,0,0.153878," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2 \, B c^{2} x^{6} - 3 \, B b c x^{4} + 3 \, A c^{2} x^{4} + 6 \, B b^{2} x^{2} - 6 \, A b c x^{2}}{12 \, c^{3}} - \frac{{\left(B b^{3} - A b^{2} c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{4}}"," ",0,"1/12*(2*B*c^2*x^6 - 3*B*b*c*x^4 + 3*A*c^2*x^4 + 6*B*b^2*x^2 - 6*A*b*c*x^2)/c^3 - 1/2*(B*b^3 - A*b^2*c)*log(abs(c*x^2 + b))/c^4","A",0
45,1,85,0,0.177892," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\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^{4} x^{5} - 5 \, B b c^{3} x^{3} + 5 \, A c^{4} x^{3} + 15 \, B b^{2} c^{2} x - 15 \, A b c^{3} x}{15 \, c^{5}}"," ",0,"-(B*b^3 - A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3) + 1/15*(3*B*c^4*x^5 - 5*B*b*c^3*x^3 + 5*A*c^4*x^3 + 15*B*b^2*c^2*x - 15*A*b*c^3*x)/c^5","A",0
46,1,52,0,0.151921," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{B c x^{4} - 2 \, B b x^{2} + 2 \, A c x^{2}}{4 \, c^{2}} + \frac{{\left(B b^{2} - A b c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{3}}"," ",0,"1/4*(B*c*x^4 - 2*B*b*x^2 + 2*A*c*x^2)/c^2 + 1/2*(B*b^2 - A*b*c)*log(abs(c*x^2 + b))/c^3","A",0
47,1,57,0,0.158443," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\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^{2} x^{3} - 3 \, B b c x + 3 \, A c^{2} x}{3 \, c^{3}}"," ",0,"(B*b^2 - A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^2) + 1/3*(B*c^2*x^3 - 3*B*b*c*x + 3*A*c^2*x)/c^3","A",0
48,1,32,0,0.232081," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{B x^{2}}{2 \, c} - \frac{{\left(B b - A c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{2}}"," ",0,"1/2*B*x^2/c - 1/2*(B*b - A*c)*log(abs(c*x^2 + b))/c^2","A",0
49,1,34,0,0.160362," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\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
50,1,34,0,0.199751," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{A \log\left({\left| x \right|}\right)}{b} + \frac{{\left(B b - A c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b c}"," ",0,"A*log(abs(x))/b + 1/2*(B*b - A*c)*log(abs(c*x^2 + b))/(b*c)","A",0
51,1,36,0,0.164753," ","integrate((B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\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
52,1,38,0,0.152200," ","integrate((B*x^2+A)/(-c*x^4+b*x^2),x, algorithm=""giac"")","-\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
53,1,71,0,0.153949," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{{\left(B b - A c\right)} \log\left(x^{2}\right)}{2 \, b^{2}} - \frac{{\left(B b c - A c^{2}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{2} c} - \frac{B b x^{2} - A c x^{2} + A b}{2 \, b^{2} x^{2}}"," ",0,"1/2*(B*b - A*c)*log(x^2)/b^2 - 1/2*(B*b*c - A*c^2)*log(abs(c*x^2 + b))/(b^2*c) - 1/2*(B*b*x^2 - A*c*x^2 + A*b)/(b^2*x^2)","A",0
54,1,57,0,0.158232," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2),x, algorithm=""giac"")","-\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 \, B b x^{2} - 3 \, A c 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*x^2 - 3*A*c*x^2 + A*b)/(b^2*x^3)","A",0
55,1,100,0,0.189775," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{{\left(B b c - A c^{2}\right)} \log\left(x^{2}\right)}{2 \, b^{3}} + \frac{{\left(B b c^{2} - A c^{3}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{3} c} + \frac{3 \, B b c x^{4} - 3 \, A c^{2} x^{4} - 2 \, B b^{2} x^{2} + 2 \, A b c x^{2} - A b^{2}}{4 \, b^{3} x^{4}}"," ",0,"-1/2*(B*b*c - A*c^2)*log(x^2)/b^3 + 1/2*(B*b*c^2 - A*c^3)*log(abs(c*x^2 + b))/(b^3*c) + 1/4*(3*B*b*c*x^4 - 3*A*c^2*x^4 - 2*B*b^2*x^2 + 2*A*b*c*x^2 - A*b^2)/(b^3*x^4)","A",0
56,1,81,0,0.156115," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2),x, algorithm=""giac"")","\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 \, B b c x^{4} - 15 \, A c^{2} x^{4} - 5 \, B b^{2} x^{2} + 5 \, A b c x^{2} - 3 \, A b^{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*x^4 - 15*A*c^2*x^4 - 5*B*b^2*x^2 + 5*A*b*c*x^2 - 3*A*b^2)/(b^3*x^5)","A",0
57,1,126,0,0.155281," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{{\left(B b c^{2} - A c^{3}\right)} \log\left(x^{2}\right)}{2 \, b^{4}} - \frac{{\left(B b c^{3} - A c^{4}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{4} c} - \frac{11 \, B b c^{2} x^{6} - 11 \, A c^{3} x^{6} - 6 \, B b^{2} c x^{4} + 6 \, A b c^{2} x^{4} + 3 \, B b^{3} x^{2} - 3 \, A b^{2} c x^{2} + 2 \, A b^{3}}{12 \, b^{4} x^{6}}"," ",0,"1/2*(B*b*c^2 - A*c^3)*log(x^2)/b^4 - 1/2*(B*b*c^3 - A*c^4)*log(abs(c*x^2 + b))/(b^4*c) - 1/12*(11*B*b*c^2*x^6 - 11*A*c^3*x^6 - 6*B*b^2*c*x^4 + 6*A*b*c^2*x^4 + 3*B*b^3*x^2 - 3*A*b^2*c*x^2 + 2*A*b^3)/(b^4*x^6)","A",0
58,1,139,0,0.168578," ","integrate(x^12*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\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{B b^{4} x - A b^{3} c x}{2 \, {\left(c x^{2} + b\right)} c^{5}} + \frac{15 \, B c^{12} x^{7} - 42 \, B b c^{11} x^{5} + 21 \, A c^{12} x^{5} + 105 \, B b^{2} c^{10} x^{3} - 70 \, A b c^{11} x^{3} - 420 \, B b^{3} c^{9} x + 315 \, A b^{2} c^{10} x}{105 \, c^{14}}"," ",0,"1/2*(9*B*b^4 - 7*A*b^3*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) - 1/2*(B*b^4*x - A*b^3*c*x)/((c*x^2 + b)*c^5) + 1/105*(15*B*c^12*x^7 - 42*B*b*c^11*x^5 + 21*A*c^12*x^5 + 105*B*b^2*c^10*x^3 - 70*A*b*c^11*x^3 - 420*B*b^3*c^9*x + 315*A*b^2*c^10*x)/c^14","A",0
59,1,135,0,0.154275," ","integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{{\left(4 \, B b^{3} - 3 \, A b^{2} c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{5}} + \frac{2 \, B c^{4} x^{6} - 6 \, B b c^{3} x^{4} + 3 \, A c^{4} x^{4} + 18 \, B b^{2} c^{2} x^{2} - 12 \, A b c^{3} x^{2}}{12 \, c^{6}} + \frac{4 \, B b^{3} c x^{2} - 3 \, A b^{2} c^{2} x^{2} + 3 \, B b^{4} - 2 \, A b^{3} c}{2 \, {\left(c x^{2} + b\right)} c^{5}}"," ",0,"-1/2*(4*B*b^3 - 3*A*b^2*c)*log(abs(c*x^2 + b))/c^5 + 1/12*(2*B*c^4*x^6 - 6*B*b*c^3*x^4 + 3*A*c^4*x^4 + 18*B*b^2*c^2*x^2 - 12*A*b*c^3*x^2)/c^6 + 1/2*(4*B*b^3*c*x^2 - 3*A*b^2*c^2*x^2 + 3*B*b^4 - 2*A*b^3*c)/((c*x^2 + b)*c^5)","A",0
60,1,115,0,0.156443," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\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{B b^{3} x - A b^{2} c x}{2 \, {\left(c x^{2} + b\right)} c^{4}} + \frac{3 \, B c^{8} x^{5} - 10 \, B b c^{7} x^{3} + 5 \, A c^{8} x^{3} + 45 \, B b^{2} c^{6} x - 30 \, A b c^{7} x}{15 \, c^{10}}"," ",0,"-1/2*(7*B*b^3 - 5*A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) + 1/2*(B*b^3*x - A*b^2*c*x)/((c*x^2 + b)*c^4) + 1/15*(3*B*c^8*x^5 - 10*B*b*c^7*x^3 + 5*A*c^8*x^3 + 45*B*b^2*c^6*x - 30*A*b*c^7*x)/c^10","A",0
61,1,106,0,0.167316," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{{\left(3 \, B b^{2} - 2 \, A b c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{4}} + \frac{B c^{2} x^{4} - 4 \, B b c x^{2} + 2 \, A c^{2} x^{2}}{4 \, c^{4}} - \frac{3 \, B b^{2} c x^{2} - 2 \, A b c^{2} x^{2} + 2 \, B b^{3} - A b^{2} c}{2 \, {\left(c x^{2} + b\right)} c^{4}}"," ",0,"1/2*(3*B*b^2 - 2*A*b*c)*log(abs(c*x^2 + b))/c^4 + 1/4*(B*c^2*x^4 - 4*B*b*c*x^2 + 2*A*c^2*x^2)/c^4 - 1/2*(3*B*b^2*c*x^2 - 2*A*b*c^2*x^2 + 2*B*b^3 - A*b^2*c)/((c*x^2 + b)*c^4)","A",0
62,1,88,0,0.156857," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\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 b^{2} x - A b c x}{2 \, {\left(c x^{2} + b\right)} c^{3}} + \frac{B c^{4} x^{3} - 6 \, B b c^{3} x + 3 \, A c^{4} x}{3 \, c^{6}}"," ",0,"1/2*(5*B*b^2 - 3*A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3) - 1/2*(B*b^2*x - A*b*c*x)/((c*x^2 + b)*c^3) + 1/3*(B*c^4*x^3 - 6*B*b*c^3*x + 3*A*c^4*x)/c^6","A",0
63,1,70,0,0.156310," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{B x^{2}}{2 \, c^{2}} - \frac{{\left(2 \, B b - A c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{3}} + \frac{2 \, B b c x^{2} - A c^{2} x^{2} + B b^{2}}{2 \, {\left(c x^{2} + b\right)} c^{3}}"," ",0,"1/2*B*x^2/c^2 - 1/2*(2*B*b - A*c)*log(abs(c*x^2 + b))/c^3 + 1/2*(2*B*b*c*x^2 - A*c^2*x^2 + B*b^2)/((c*x^2 + b)*c^3)","A",0
64,1,59,0,0.190911," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\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}} + \frac{B b x - A c x}{2 \, {\left(c x^{2} + b\right)} c^{2}}"," ",0,"B*x/c^2 - 1/2*(3*B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^2) + 1/2*(B*b*x - A*c*x)/((c*x^2 + b)*c^2)","A",0
65,1,37,0,0.186786," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{B \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{2}} - \frac{B x^{2} + A}{2 \, {\left(c x^{2} + b\right)} c}"," ",0,"1/2*B*log(abs(c*x^2 + b))/c^2 - 1/2*(B*x^2 + A)/((c*x^2 + b)*c)","A",0
66,1,57,0,0.181776," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{{\left(B b + A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b c} - \frac{B b x - A c x}{2 \, {\left(c x^{2} + b\right)} b c}"," ",0,"1/2*(B*b + A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b*c) - 1/2*(B*b*x - A*c*x)/((c*x^2 + b)*b*c)","A",0
67,1,52,0,0.157335," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{A \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{2}} + \frac{A \log\left({\left| x \right|}\right)}{b^{2}} - \frac{B b^{2} - A b c}{2 \, {\left(c x^{2} + b\right)} b^{2} c}"," ",0,"-1/2*A*log(abs(c*x^2 + b))/b^2 + A*log(abs(x))/b^2 - 1/2*(B*b^2 - A*b*c)/((c*x^2 + b)*b^2*c)","A",0
68,1,62,0,0.212705," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{{\left(B b - 3 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{2 \, \sqrt{b c} b^{2}} + \frac{B b x^{2} - 3 \, A c x^{2} - 2 \, A b}{2 \, {\left(c x^{3} + b x\right)} b^{2}}"," ",0,"1/2*(B*b - 3*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^2) + 1/2*(B*b*x^2 - 3*A*c*x^2 - 2*A*b)/((c*x^3 + b*x)*b^2)","A",0
69,1,80,0,0.159017," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{{\left(B b - 2 \, A c\right)} \log\left({\left| x \right|}\right)}{b^{3}} + \frac{B b x^{2} - 2 \, A c x^{2} - A b}{2 \, {\left(c x^{4} + b x^{2}\right)} b^{2}} - \frac{{\left(B b c - 2 \, A c^{2}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{3} c}"," ",0,"(B*b - 2*A*c)*log(abs(x))/b^3 + 1/2*(B*b*x^2 - 2*A*c*x^2 - A*b)/((c*x^4 + b*x^2)*b^2) - 1/2*(B*b*c - 2*A*c^2)*log(abs(c*x^2 + b))/(b^3*c)","A",0
70,1,85,0,0.156522," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\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}} - \frac{B b c x - A c^{2} x}{2 \, {\left(c x^{2} + b\right)} b^{3}} - \frac{3 \, B b x^{2} - 6 \, A c x^{2} + A b}{3 \, b^{3} x^{3}}"," ",0,"-1/2*(3*B*b*c - 5*A*c^2)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^3) - 1/2*(B*b*c*x - A*c^2*x)/((c*x^2 + b)*b^3) - 1/3*(3*B*b*x^2 - 6*A*c*x^2 + A*b)/(b^3*x^3)","A",0
71,1,150,0,0.321578," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{{\left(2 \, B b c - 3 \, A c^{2}\right)} \log\left(x^{2}\right)}{2 \, b^{4}} + \frac{{\left(2 \, B b c^{2} - 3 \, A c^{3}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{4} c} - \frac{2 \, B b c^{2} x^{2} - 3 \, A c^{3} x^{2} + 3 \, B b^{2} c - 4 \, A b c^{2}}{2 \, {\left(c x^{2} + b\right)} b^{4}} + \frac{6 \, B b c x^{4} - 9 \, A c^{2} x^{4} - 2 \, B b^{2} x^{2} + 4 \, A b c x^{2} - A b^{2}}{4 \, b^{4} x^{4}}"," ",0,"-1/2*(2*B*b*c - 3*A*c^2)*log(x^2)/b^4 + 1/2*(2*B*b*c^2 - 3*A*c^3)*log(abs(c*x^2 + b))/(b^4*c) - 1/2*(2*B*b*c^2*x^2 - 3*A*c^3*x^2 + 3*B*b^2*c - 4*A*b*c^2)/((c*x^2 + b)*b^4) + 1/4*(6*B*b*c*x^4 - 9*A*c^2*x^4 - 2*B*b^2*x^2 + 4*A*b*c*x^2 - A*b^2)/(b^4*x^4)","A",0
72,1,112,0,0.168412," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\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}} + \frac{B b c^{2} x - A c^{3} x}{2 \, {\left(c x^{2} + b\right)} b^{4}} + \frac{30 \, B b c x^{4} - 45 \, A c^{2} x^{4} - 5 \, B b^{2} x^{2} + 10 \, A b c x^{2} - 3 \, A b^{2}}{15 \, b^{4} x^{5}}"," ",0,"1/2*(5*B*b*c^2 - 7*A*c^3)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^4) + 1/2*(B*b*c^2*x - A*c^3*x)/((c*x^2 + b)*b^4) + 1/15*(30*B*b*c*x^4 - 45*A*c^2*x^4 - 5*B*b^2*x^2 + 10*A*b*c*x^2 - 3*A*b^2)/(b^4*x^5)","A",0
73,1,138,0,0.181423," ","integrate(x^14*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\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{17 \, B b^{3} c x^{3} - 13 \, A b^{2} c^{2} x^{3} + 15 \, B b^{4} x - 11 \, A b^{3} c x}{8 \, {\left(c x^{2} + b\right)}^{2} c^{5}} + \frac{3 \, B c^{12} x^{5} - 15 \, B b c^{11} x^{3} + 5 \, A c^{12} x^{3} + 90 \, B b^{2} c^{10} x - 45 \, A b c^{11} x}{15 \, c^{15}}"," ",0,"-7/8*(9*B*b^3 - 5*A*b^2*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^5) + 1/8*(17*B*b^3*c*x^3 - 13*A*b^2*c^2*x^3 + 15*B*b^4*x - 11*A*b^3*c*x)/((c*x^2 + b)^2*c^5) + 1/15*(3*B*c^12*x^5 - 15*B*b*c^11*x^3 + 5*A*c^12*x^3 + 90*B*b^2*c^10*x - 45*A*b*c^11*x)/c^15","A",0
74,1,132,0,0.177197," ","integrate(x^13*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{3 \, {\left(2 \, B b^{2} - A b c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{5}} + \frac{B c^{3} x^{4} - 6 \, B b c^{2} x^{2} + 2 \, A c^{3} x^{2}}{4 \, c^{6}} - \frac{18 \, B b^{2} c^{2} x^{4} - 9 \, A b c^{3} x^{4} + 28 \, B b^{3} c x^{2} - 12 \, A b^{2} c^{2} x^{2} + 11 \, B b^{4} - 4 \, A b^{3} c}{4 \, {\left(c x^{2} + b\right)}^{2} c^{5}}"," ",0,"3/2*(2*B*b^2 - A*b*c)*log(abs(c*x^2 + b))/c^5 + 1/4*(B*c^3*x^4 - 6*B*b*c^2*x^2 + 2*A*c^3*x^2)/c^6 - 1/4*(18*B*b^2*c^2*x^4 - 9*A*b*c^3*x^4 + 28*B*b^3*c*x^2 - 12*A*b^2*c^2*x^2 + 11*B*b^4 - 4*A*b^3*c)/((c*x^2 + b)^2*c^5)","A",0
75,1,111,0,0.162667," ","integrate(x^12*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\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{13 \, B b^{2} c x^{3} - 9 \, A b c^{2} x^{3} + 11 \, B b^{3} x - 7 \, A b^{2} c x}{8 \, {\left(c x^{2} + b\right)}^{2} c^{4}} + \frac{B c^{6} x^{3} - 9 \, B b c^{5} x + 3 \, A c^{6} x}{3 \, c^{9}}"," ",0,"5/8*(7*B*b^2 - 3*A*b*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^4) - 1/8*(13*B*b^2*c*x^3 - 9*A*b*c^2*x^3 + 11*B*b^3*x - 7*A*b^2*c*x)/((c*x^2 + b)^2*c^4) + 1/3*(B*c^6*x^3 - 9*B*b*c^5*x + 3*A*c^6*x)/c^9","A",0
76,1,93,0,0.161563," ","integrate(x^11*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{B x^{2}}{2 \, c^{3}} - \frac{{\left(3 \, B b - A c\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{4}} + \frac{9 \, B b c^{2} x^{4} - 3 \, A c^{3} x^{4} + 12 \, B b^{2} c x^{2} - 2 \, A b c^{2} x^{2} + 4 \, B b^{3}}{4 \, {\left(c x^{2} + b\right)}^{2} c^{4}}"," ",0,"1/2*B*x^2/c^3 - 1/2*(3*B*b - A*c)*log(abs(c*x^2 + b))/c^4 + 1/4*(9*B*b*c^2*x^4 - 3*A*c^3*x^4 + 12*B*b^2*c*x^2 - 2*A*b*c^2*x^2 + 4*B*b^3)/((c*x^2 + b)^2*c^4)","A",0
77,1,80,0,0.177055," ","integrate(x^10*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\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}} + \frac{9 \, B b c x^{3} - 5 \, A c^{2} x^{3} + 7 \, B b^{2} x - 3 \, A b c x}{8 \, {\left(c x^{2} + b\right)}^{2} c^{3}}"," ",0,"B*x/c^3 - 3/8*(5*B*b - A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*c^3) + 1/8*(9*B*b*c*x^3 - 5*A*c^2*x^3 + 7*B*b^2*x - 3*A*b*c*x)/((c*x^2 + b)^2*c^3)","A",0
78,1,55,0,0.189173," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{B \log\left({\left| c x^{2} + b \right|}\right)}{2 \, c^{3}} - \frac{3 \, B c x^{4} + 2 \, B b x^{2} + 2 \, A c x^{2} + A b}{4 \, {\left(c x^{2} + b\right)}^{2} c^{2}}"," ",0,"1/2*B*log(abs(c*x^2 + b))/c^3 - 1/4*(3*B*c*x^4 + 2*B*b*x^2 + 2*A*c*x^2 + A*b)/((c*x^2 + b)^2*c^2)","A",0
79,1,78,0,0.160412," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{{\left(3 \, B b + A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b c^{2}} - \frac{5 \, B b c x^{3} - A c^{2} x^{3} + 3 \, B b^{2} x + A b c x}{8 \, {\left(c x^{2} + b\right)}^{2} b c^{2}}"," ",0,"1/8*(3*B*b + A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b*c^2) - 1/8*(5*B*b*c*x^3 - A*c^2*x^3 + 3*B*b^2*x + A*b*c*x)/((c*x^2 + b)^2*b*c^2)","A",0
80,1,28,0,0.160968," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{2 \, B c x^{2} + B b + A c}{4 \, {\left(c x^{2} + b\right)}^{2} c^{2}}"," ",0,"-1/4*(2*B*c*x^2 + B*b + A*c)/((c*x^2 + b)^2*c^2)","A",0
81,1,78,0,0.159094," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{{\left(B b + 3 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{2} c} + \frac{B b c x^{3} + 3 \, A c^{2} x^{3} - B b^{2} x + 5 \, A b c x}{8 \, {\left(c x^{2} + b\right)}^{2} b^{2} c}"," ",0,"1/8*(B*b + 3*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^2*c) + 1/8*(B*b*c*x^3 + 3*A*c^2*x^3 - B*b^2*x + 5*A*b*c*x)/((c*x^2 + b)^2*b^2*c)","A",0
82,1,76,0,0.157921," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{A \log\left(x^{2}\right)}{2 \, b^{3}} - \frac{A \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{3}} + \frac{3 \, A c^{3} x^{4} + 8 \, A b c^{2} x^{2} - B b^{3} + 6 \, A b^{2} c}{4 \, {\left(c x^{2} + b\right)}^{2} b^{3} c}"," ",0,"1/2*A*log(x^2)/b^3 - 1/2*A*log(abs(c*x^2 + b))/b^3 + 1/4*(3*A*c^3*x^4 + 8*A*b*c^2*x^2 - B*b^3 + 6*A*b^2*c)/((c*x^2 + b)^2*b^3*c)","A",0
83,1,82,0,0.166034," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{3 \, {\left(B b - 5 \, A c\right)} \arctan\left(\frac{c x}{\sqrt{b c}}\right)}{8 \, \sqrt{b c} b^{3}} - \frac{A}{b^{3} x} + \frac{3 \, B b c x^{3} - 7 \, A c^{2} x^{3} + 5 \, B b^{2} x - 9 \, A b c x}{8 \, {\left(c x^{2} + b\right)}^{2} b^{3}}"," ",0,"3/8*(B*b - 5*A*c)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^3) - A/(b^3*x) + 1/8*(3*B*b*c*x^3 - 7*A*c^2*x^3 + 5*B*b^2*x - 9*A*b*c*x)/((c*x^2 + b)^2*b^3)","A",0
84,1,105,0,0.182866," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{{\left(B b - 3 \, A c\right)} \log\left({\left| x \right|}\right)}{b^{4}} - \frac{{\left(B b c - 3 \, A c^{2}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{4} c} + \frac{2 \, {\left(B b^{2} c - 3 \, A b c^{2}\right)} x^{4} - 2 \, A b^{3} + 3 \, {\left(B b^{3} - 3 \, A b^{2} c\right)} x^{2}}{4 \, {\left(c x^{2} + b\right)}^{2} b^{4} x^{2}}"," ",0,"(B*b - 3*A*c)*log(abs(x))/b^4 - 1/2*(B*b*c - 3*A*c^2)*log(abs(c*x^2 + b))/(b^4*c) + 1/4*(2*(B*b^2*c - 3*A*b*c^2)*x^4 - 2*A*b^3 + 3*(B*b^3 - 3*A*b^2*c)*x^2)/((c*x^2 + b)^2*b^4*x^2)","A",0
85,1,108,0,0.162417," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\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}} - \frac{7 \, B b c^{2} x^{3} - 11 \, A c^{3} x^{3} + 9 \, B b^{2} c x - 13 \, A b c^{2} x}{8 \, {\left(c x^{2} + b\right)}^{2} b^{4}} - \frac{3 \, B b x^{2} - 9 \, A c x^{2} + A b}{3 \, b^{4} x^{3}}"," ",0,"-5/8*(3*B*b*c - 7*A*c^2)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^4) - 1/8*(7*B*b*c^2*x^3 - 11*A*c^3*x^3 + 9*B*b^2*c*x - 13*A*b*c^2*x)/((c*x^2 + b)^2*b^4) - 1/3*(3*B*b*x^2 - 9*A*c*x^2 + A*b)/(b^4*x^3)","A",0
86,1,132,0,0.169279," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(B b c - 2 \, A c^{2}\right)} \log\left({\left| x \right|}\right)}{b^{5}} + \frac{3 \, {\left(B b c^{2} - 2 \, A c^{3}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{2 \, b^{5} c} - \frac{6 \, B b c^{2} x^{6} - 12 \, A c^{3} x^{6} + 9 \, B b^{2} c x^{4} - 18 \, A b c^{2} x^{4} + 2 \, B b^{3} x^{2} - 4 \, A b^{2} c x^{2} + A b^{3}}{4 \, {\left(c x^{4} + b x^{2}\right)}^{2} b^{4}}"," ",0,"-3*(B*b*c - 2*A*c^2)*log(abs(x))/b^5 + 3/2*(B*b*c^2 - 2*A*c^3)*log(abs(c*x^2 + b))/(b^5*c) - 1/4*(6*B*b*c^2*x^6 - 12*A*c^3*x^6 + 9*B*b^2*c*x^4 - 18*A*b*c^2*x^4 + 2*B*b^3*x^2 - 4*A*b^2*c*x^2 + A*b^3)/((c*x^4 + b*x^2)^2*b^4)","A",0
87,1,135,0,0.161664," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\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}} + \frac{11 \, B b c^{3} x^{3} - 15 \, A c^{4} x^{3} + 13 \, B b^{2} c^{2} x - 17 \, A b c^{3} x}{8 \, {\left(c x^{2} + b\right)}^{2} b^{5}} + \frac{45 \, B b c x^{4} - 90 \, A c^{2} x^{4} - 5 \, B b^{2} x^{2} + 15 \, A b c x^{2} - 3 \, A b^{2}}{15 \, b^{5} x^{5}}"," ",0,"7/8*(5*B*b*c^2 - 9*A*c^3)*arctan(c*x/sqrt(b*c))/(sqrt(b*c)*b^5) + 1/8*(11*B*b*c^3*x^3 - 15*A*c^4*x^3 + 13*B*b^2*c^2*x - 17*A*b*c^3*x)/((c*x^2 + b)^2*b^5) + 1/15*(45*B*b*c*x^4 - 90*A*c^2*x^4 - 5*B*b^2*x^2 + 15*A*b*c*x^2 - 3*A*b^2)/(b^5*x^5)","A",0
88,1,201,0,0.165818," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{{\left(3 \, B b c^{2} - 5 \, A c^{3}\right)} \log\left(x^{2}\right)}{b^{6}} - \frac{{\left(3 \, B b c^{3} - 5 \, A c^{4}\right)} \log\left({\left| c x^{2} + b \right|}\right)}{b^{6} c} + \frac{18 \, B b c^{4} x^{4} - 30 \, A c^{5} x^{4} + 42 \, B b^{2} c^{3} x^{2} - 68 \, A b c^{4} x^{2} + 25 \, B b^{3} c^{2} - 39 \, A b^{2} c^{3}}{4 \, {\left(c x^{2} + b\right)}^{2} b^{6}} - \frac{66 \, B b c^{2} x^{6} - 110 \, A c^{3} x^{6} - 18 \, B b^{2} c x^{4} + 36 \, A b c^{2} x^{4} + 3 \, B b^{3} x^{2} - 9 \, A b^{2} c x^{2} + 2 \, A b^{3}}{12 \, b^{6} x^{6}}"," ",0,"(3*B*b*c^2 - 5*A*c^3)*log(x^2)/b^6 - (3*B*b*c^3 - 5*A*c^4)*log(abs(c*x^2 + b))/(b^6*c) + 1/4*(18*B*b*c^4*x^4 - 30*A*c^5*x^4 + 42*B*b^2*c^3*x^2 - 68*A*b*c^4*x^2 + 25*B*b^3*c^2 - 39*A*b^2*c^3)/((c*x^2 + b)^2*b^6) - 1/12*(66*B*b*c^2*x^6 - 110*A*c^3*x^6 - 18*B*b^2*c*x^4 + 36*A*b*c^2*x^4 + 3*B*b^3*x^2 - 9*A*b^2*c*x^2 + 2*A*b^3)/(b^6*x^6)","A",0
89,1,245,0,0.229608," ","integrate(x^7*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{15360} \, {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, B x^{2} \mathrm{sgn}\left(x\right) + \frac{B b c^{9} \mathrm{sgn}\left(x\right) + 12 \, A c^{10} \mathrm{sgn}\left(x\right)}{c^{10}}\right)} x^{2} - \frac{3 \, {\left(3 \, B b^{2} c^{8} \mathrm{sgn}\left(x\right) - 4 \, A b c^{9} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} x^{2} + \frac{7 \, {\left(3 \, B b^{3} c^{7} \mathrm{sgn}\left(x\right) - 4 \, A b^{2} c^{8} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} x^{2} - \frac{35 \, {\left(3 \, B b^{4} c^{6} \mathrm{sgn}\left(x\right) - 4 \, A b^{3} c^{7} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} x^{2} + \frac{105 \, {\left(3 \, B b^{5} c^{5} \mathrm{sgn}\left(x\right) - 4 \, A b^{4} c^{6} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} \sqrt{c x^{2} + b} x + \frac{7 \, {\left(3 \, B b^{6} \mathrm{sgn}\left(x\right) - 4 \, A b^{5} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{1024 \, c^{\frac{11}{2}}} - \frac{7 \, {\left(3 \, B b^{6} \log\left({\left| b \right|}\right) - 4 \, A b^{5} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{2048 \, c^{\frac{11}{2}}}"," ",0,"1/15360*(2*(4*(2*(8*(10*B*x^2*sgn(x) + (B*b*c^9*sgn(x) + 12*A*c^10*sgn(x))/c^10)*x^2 - 3*(3*B*b^2*c^8*sgn(x) - 4*A*b*c^9*sgn(x))/c^10)*x^2 + 7*(3*B*b^3*c^7*sgn(x) - 4*A*b^2*c^8*sgn(x))/c^10)*x^2 - 35*(3*B*b^4*c^6*sgn(x) - 4*A*b^3*c^7*sgn(x))/c^10)*x^2 + 105*(3*B*b^5*c^5*sgn(x) - 4*A*b^4*c^6*sgn(x))/c^10)*sqrt(c*x^2 + b)*x + 7/1024*(3*B*b^6*sgn(x) - 4*A*b^5*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(11/2) - 7/2048*(3*B*b^6*log(abs(b)) - 4*A*b^5*c*log(abs(b)))*sgn(x)/c^(11/2)","A",0
90,1,211,0,0.203034," ","integrate(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{3840} \, {\left(2 \, {\left(4 \, {\left(6 \, {\left(8 \, B x^{2} \mathrm{sgn}\left(x\right) + \frac{B b c^{7} \mathrm{sgn}\left(x\right) + 10 \, A c^{8} \mathrm{sgn}\left(x\right)}{c^{8}}\right)} x^{2} - \frac{7 \, B b^{2} c^{6} \mathrm{sgn}\left(x\right) - 10 \, A b c^{7} \mathrm{sgn}\left(x\right)}{c^{8}}\right)} x^{2} + \frac{5 \, {\left(7 \, B b^{3} c^{5} \mathrm{sgn}\left(x\right) - 10 \, A b^{2} c^{6} \mathrm{sgn}\left(x\right)\right)}}{c^{8}}\right)} x^{2} - \frac{15 \, {\left(7 \, B b^{4} c^{4} \mathrm{sgn}\left(x\right) - 10 \, A b^{3} c^{5} \mathrm{sgn}\left(x\right)\right)}}{c^{8}}\right)} \sqrt{c x^{2} + b} x - \frac{{\left(7 \, B b^{5} \mathrm{sgn}\left(x\right) - 10 \, A b^{4} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{256 \, c^{\frac{9}{2}}} + \frac{{\left(7 \, B b^{5} \log\left({\left| b \right|}\right) - 10 \, A b^{4} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{512 \, c^{\frac{9}{2}}}"," ",0,"1/3840*(2*(4*(6*(8*B*x^2*sgn(x) + (B*b*c^7*sgn(x) + 10*A*c^8*sgn(x))/c^8)*x^2 - (7*B*b^2*c^6*sgn(x) - 10*A*b*c^7*sgn(x))/c^8)*x^2 + 5*(7*B*b^3*c^5*sgn(x) - 10*A*b^2*c^6*sgn(x))/c^8)*x^2 - 15*(7*B*b^4*c^4*sgn(x) - 10*A*b^3*c^5*sgn(x))/c^8)*sqrt(c*x^2 + b)*x - 1/256*(7*B*b^5*sgn(x) - 10*A*b^4*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(9/2) + 1/512*(7*B*b^5*log(abs(b)) - 10*A*b^4*c*log(abs(b)))*sgn(x)/c^(9/2)","A",0
91,1,177,0,0.221153," ","integrate(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{384} \, {\left(2 \, {\left(4 \, {\left(6 \, B x^{2} \mathrm{sgn}\left(x\right) + \frac{B b c^{5} \mathrm{sgn}\left(x\right) + 8 \, A c^{6} \mathrm{sgn}\left(x\right)}{c^{6}}\right)} x^{2} - \frac{5 \, B b^{2} c^{4} \mathrm{sgn}\left(x\right) - 8 \, A b c^{5} \mathrm{sgn}\left(x\right)}{c^{6}}\right)} x^{2} + \frac{3 \, {\left(5 \, B b^{3} c^{3} \mathrm{sgn}\left(x\right) - 8 \, A b^{2} c^{4} \mathrm{sgn}\left(x\right)\right)}}{c^{6}}\right)} \sqrt{c x^{2} + b} x + \frac{{\left(5 \, B b^{4} \mathrm{sgn}\left(x\right) - 8 \, A b^{3} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{128 \, c^{\frac{7}{2}}} - \frac{{\left(5 \, B b^{4} \log\left({\left| b \right|}\right) - 8 \, A b^{3} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{256 \, c^{\frac{7}{2}}}"," ",0,"1/384*(2*(4*(6*B*x^2*sgn(x) + (B*b*c^5*sgn(x) + 8*A*c^6*sgn(x))/c^6)*x^2 - (5*B*b^2*c^4*sgn(x) - 8*A*b*c^5*sgn(x))/c^6)*x^2 + 3*(5*B*b^3*c^3*sgn(x) - 8*A*b^2*c^4*sgn(x))/c^6)*sqrt(c*x^2 + b)*x + 1/128*(5*B*b^4*sgn(x) - 8*A*b^3*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(7/2) - 1/256*(5*B*b^4*log(abs(b)) - 8*A*b^3*c*log(abs(b)))*sgn(x)/c^(7/2)","A",0
92,1,140,0,0.193311," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, B x^{2} \mathrm{sgn}\left(x\right) + \frac{B b c^{3} \mathrm{sgn}\left(x\right) + 6 \, A c^{4} \mathrm{sgn}\left(x\right)}{c^{4}}\right)} x^{2} - \frac{3 \, {\left(B b^{2} c^{2} \mathrm{sgn}\left(x\right) - 2 \, A b c^{3} \mathrm{sgn}\left(x\right)\right)}}{c^{4}}\right)} \sqrt{c x^{2} + b} x - \frac{{\left(B b^{3} \mathrm{sgn}\left(x\right) - 2 \, A b^{2} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{16 \, c^{\frac{5}{2}}} + \frac{{\left(B b^{3} \log\left({\left| b \right|}\right) - 2 \, A b^{2} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{32 \, c^{\frac{5}{2}}}"," ",0,"1/48*(2*(4*B*x^2*sgn(x) + (B*b*c^3*sgn(x) + 6*A*c^4*sgn(x))/c^4)*x^2 - 3*(B*b^2*c^2*sgn(x) - 2*A*b*c^3*sgn(x))/c^4)*sqrt(c*x^2 + b)*x - 1/16*(B*b^3*sgn(x) - 2*A*b^2*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(5/2) + 1/32*(B*b^3*log(abs(b)) - 2*A*b^2*c*log(abs(b)))*sgn(x)/c^(5/2)","A",0
93,1,103,0,0.184692," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, B x^{2} \mathrm{sgn}\left(x\right) + \frac{B b c \mathrm{sgn}\left(x\right) + 4 \, A c^{2} \mathrm{sgn}\left(x\right)}{c^{2}}\right)} \sqrt{c x^{2} + b} x + \frac{{\left(B b^{2} \mathrm{sgn}\left(x\right) - 4 \, A b c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{8 \, c^{\frac{3}{2}}} - \frac{{\left(B b^{2} \log\left({\left| b \right|}\right) - 4 \, A b c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{16 \, c^{\frac{3}{2}}}"," ",0,"1/8*(2*B*x^2*sgn(x) + (B*b*c*sgn(x) + 4*A*c^2*sgn(x))/c^2)*sqrt(c*x^2 + b)*x + 1/8*(B*b^2*sgn(x) - 4*A*b*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(3/2) - 1/16*(B*b^2*log(abs(b)) - 4*A*b*c*log(abs(b)))*sgn(x)/c^(3/2)","A",0
94,1,92,0,0.273721," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^3,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2} + b} B x \mathrm{sgn}\left(x\right) + \frac{2 \, A b \sqrt{c} \mathrm{sgn}\left(x\right)}{{\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b} - \frac{{\left(B b \sqrt{c} \mathrm{sgn}\left(x\right) + 2 \, A c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2}\right)}{4 \, c}"," ",0,"1/2*sqrt(c*x^2 + b)*B*x*sgn(x) + 2*A*b*sqrt(c)*sgn(x)/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b) - 1/4*(B*b*sqrt(c)*sgn(x) + 2*A*c^(3/2)*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + b))^2)/c","A",0
95,1,163,0,0.497528," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^5,x, algorithm=""giac"")","-\frac{1}{2} \, B \sqrt{c} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2}\right) \mathrm{sgn}\left(x\right) + \frac{2 \, {\left(3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b \sqrt{c} \mathrm{sgn}\left(x\right) + 3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{2} \sqrt{c} \mathrm{sgn}\left(x\right) + 3 \, B b^{3} \sqrt{c} \mathrm{sgn}\left(x\right) + A b^{2} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{3}}"," ",0,"-1/2*B*sqrt(c)*log((sqrt(c)*x - sqrt(c*x^2 + b))^2)*sgn(x) + 2/3*(3*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b*sqrt(c)*sgn(x) + 3*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*c^(3/2)*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^2*sqrt(c)*sgn(x) + 3*B*b^3*sqrt(c)*sgn(x) + A*b^2*c^(3/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^3","B",0
96,1,250,0,0.919727," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^7,x, algorithm=""giac"")","\frac{2 \, {\left(15 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) - 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 20 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{2} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{3} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 10 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{2} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 5 \, B b^{4} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) - 2 \, A b^{3} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right)\right)}}{15 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{5}}"," ",0,"2/15*(15*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*c^(3/2)*sgn(x) - 30*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b*c^(3/2)*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*c^(5/2)*sgn(x) + 20*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^2*c^(3/2)*sgn(x) + 10*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b*c^(5/2)*sgn(x) - 10*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^3*c^(3/2)*sgn(x) + 10*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^2*c^(5/2)*sgn(x) + 5*B*b^4*c^(3/2)*sgn(x) - 2*A*b^3*c^(5/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^5","B",0
97,1,310,0,1.355415," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^9,x, algorithm=""giac"")","\frac{4 \, {\left(105 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 175 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 280 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{2} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 42 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{3} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 84 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{2} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 49 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{4} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{3} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 7 \, B b^{5} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 4 \, A b^{4} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right)\right)}}{105 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{7}}"," ",0,"4/105*(105*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*c^(5/2)*sgn(x) - 175*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b*c^(5/2)*sgn(x) + 280*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*c^(7/2)*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^2*c^(5/2)*sgn(x) + 140*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b*c^(7/2)*sgn(x) - 42*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^3*c^(5/2)*sgn(x) + 84*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^2*c^(7/2)*sgn(x) + 49*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^4*c^(5/2)*sgn(x) - 28*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^3*c^(7/2)*sgn(x) - 7*B*b^5*c^(5/2)*sgn(x) + 4*A*b^4*c^(7/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^7","B",0
98,1,370,0,1.970407," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^11,x, algorithm=""giac"")","\frac{16 \, {\left(210 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 630 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 63 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{2} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 378 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 42 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{3} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 168 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{2} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 108 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{4} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 72 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{3} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 27 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{5} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 18 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{4} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 3 \, B b^{6} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 2 \, A b^{5} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right)\right)}}{315 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{9}}"," ",0,"16/315*(210*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*c^(7/2)*sgn(x) - 315*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b*c^(7/2)*sgn(x) + 630*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*c^(9/2)*sgn(x) + 63*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^2*c^(7/2)*sgn(x) + 378*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b*c^(9/2)*sgn(x) - 42*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^3*c^(7/2)*sgn(x) + 168*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^2*c^(9/2)*sgn(x) + 108*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^4*c^(7/2)*sgn(x) - 72*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^3*c^(9/2)*sgn(x) - 27*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^5*c^(7/2)*sgn(x) + 18*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^4*c^(9/2)*sgn(x) + 3*B*b^6*c^(7/2)*sgn(x) - 2*A*b^5*c^(9/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^9","B",0
99,1,430,0,2.973032," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^13,x, algorithm=""giac"")","\frac{32 \, {\left(3465 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} B c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 4851 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 11088 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} A c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 231 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b^{2} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 7392 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A b c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 165 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{3} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 2640 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b^{2} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 1815 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{4} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 1320 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{3} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 605 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{5} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 440 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{4} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 121 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{6} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 88 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{5} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 11 \, B b^{7} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 8 \, A b^{6} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right)\right)}}{3465 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{11}}"," ",0,"32/3465*(3465*(sqrt(c)*x - sqrt(c*x^2 + b))^14*B*c^(9/2)*sgn(x) - 4851*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*b*c^(9/2)*sgn(x) + 11088*(sqrt(c)*x - sqrt(c*x^2 + b))^12*A*c^(11/2)*sgn(x) + 231*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b^2*c^(9/2)*sgn(x) + 7392*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*b*c^(11/2)*sgn(x) - 165*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^3*c^(9/2)*sgn(x) + 2640*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b^2*c^(11/2)*sgn(x) + 1815*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^4*c^(9/2)*sgn(x) - 1320*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^3*c^(11/2)*sgn(x) - 605*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^5*c^(9/2)*sgn(x) + 440*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^4*c^(11/2)*sgn(x) + 121*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^6*c^(9/2)*sgn(x) - 88*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^5*c^(11/2)*sgn(x) - 11*B*b^7*c^(9/2)*sgn(x) + 8*A*b^6*c^(11/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^11","B",0
100,1,140,0,0.170321," ","integrate(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{8 \, {\left(2 \, B b^{\frac{9}{2}} - 3 \, A b^{\frac{7}{2}} c\right)} \mathrm{sgn}\left(x\right)}{315 \, c^{4}} + \frac{35 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B \mathrm{sgn}\left(x\right) - 135 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b \mathrm{sgn}\left(x\right) + 189 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{2} \mathrm{sgn}\left(x\right) - 105 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{3} \mathrm{sgn}\left(x\right) + 45 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A c \mathrm{sgn}\left(x\right) - 126 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b c \mathrm{sgn}\left(x\right) + 105 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b^{2} c \mathrm{sgn}\left(x\right)}{315 \, c^{4}}"," ",0,"8/315*(2*B*b^(9/2) - 3*A*b^(7/2)*c)*sgn(x)/c^4 + 1/315*(35*(c*x^2 + b)^(9/2)*B*sgn(x) - 135*(c*x^2 + b)^(7/2)*B*b*sgn(x) + 189*(c*x^2 + b)^(5/2)*B*b^2*sgn(x) - 105*(c*x^2 + b)^(3/2)*B*b^3*sgn(x) + 45*(c*x^2 + b)^(7/2)*A*c*sgn(x) - 126*(c*x^2 + b)^(5/2)*A*b*c*sgn(x) + 105*(c*x^2 + b)^(3/2)*A*b^2*c*sgn(x))/c^4","A",0
101,1,105,0,0.209279," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(4 \, B b^{\frac{7}{2}} - 7 \, A b^{\frac{5}{2}} c\right)} \mathrm{sgn}\left(x\right)}{105 \, c^{3}} + \frac{15 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B \mathrm{sgn}\left(x\right) - 42 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b \mathrm{sgn}\left(x\right) + 35 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{2} \mathrm{sgn}\left(x\right) + 21 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A c \mathrm{sgn}\left(x\right) - 35 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b c \mathrm{sgn}\left(x\right)}{105 \, c^{3}}"," ",0,"-2/105*(4*B*b^(7/2) - 7*A*b^(5/2)*c)*sgn(x)/c^3 + 1/105*(15*(c*x^2 + b)^(7/2)*B*sgn(x) - 42*(c*x^2 + b)^(5/2)*B*b*sgn(x) + 35*(c*x^2 + b)^(3/2)*B*b^2*sgn(x) + 21*(c*x^2 + b)^(5/2)*A*c*sgn(x) - 35*(c*x^2 + b)^(3/2)*A*b*c*sgn(x))/c^3","A",0
102,1,72,0,0.159778," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{{\left(2 \, B b^{\frac{5}{2}} - 5 \, A b^{\frac{3}{2}} c\right)} \mathrm{sgn}\left(x\right)}{15 \, c^{2}} + \frac{3 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B \mathrm{sgn}\left(x\right) - 5 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b \mathrm{sgn}\left(x\right) + 5 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A c \mathrm{sgn}\left(x\right)}{15 \, c^{2}}"," ",0,"1/15*(2*B*b^(5/2) - 5*A*b^(3/2)*c)*sgn(x)/c^2 + 1/15*(3*(c*x^2 + b)^(5/2)*B*sgn(x) - 5*(c*x^2 + b)^(3/2)*B*b*sgn(x) + 5*(c*x^2 + b)^(3/2)*A*c*sgn(x))/c^2","A",0
103,1,116,0,0.195851," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^2,x, algorithm=""giac"")","\frac{A b \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-b}} - \frac{{\left(3 \, A b c \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right) + B \sqrt{-b} b^{\frac{3}{2}} + 3 \, A \sqrt{-b} \sqrt{b} c\right)} \mathrm{sgn}\left(x\right)}{3 \, \sqrt{-b} c} + \frac{{\left(c x^{2} + b\right)}^{\frac{3}{2}} B c^{2} \mathrm{sgn}\left(x\right) + 3 \, \sqrt{c x^{2} + b} A c^{3} \mathrm{sgn}\left(x\right)}{3 \, c^{3}}"," ",0,"A*b*arctan(sqrt(c*x^2 + b)/sqrt(-b))*sgn(x)/sqrt(-b) - 1/3*(3*A*b*c*arctan(sqrt(b)/sqrt(-b)) + B*sqrt(-b)*b^(3/2) + 3*A*sqrt(-b)*sqrt(b)*c)*sgn(x)/(sqrt(-b)*c) + 1/3*((c*x^2 + b)^(3/2)*B*c^2*sgn(x) + 3*sqrt(c*x^2 + b)*A*c^3*sgn(x))/c^3","A",0
104,1,76,0,0.218071," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{2 \, \sqrt{c x^{2} + b} B c \mathrm{sgn}\left(x\right) + \frac{{\left(2 \, B b c \mathrm{sgn}\left(x\right) + A c^{2} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b}} - \frac{\sqrt{c x^{2} + b} A c \mathrm{sgn}\left(x\right)}{x^{2}}}{2 \, c}"," ",0,"1/2*(2*sqrt(c*x^2 + b)*B*c*sgn(x) + (2*B*b*c*sgn(x) + A*c^2*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/sqrt(-b) - sqrt(c*x^2 + b)*A*c*sgn(x)/x^2)/c","A",0
105,1,132,0,0.303633," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(1/2)/x^6,x, algorithm=""giac"")","\frac{\frac{{\left(4 \, B b c^{2} \mathrm{sgn}\left(x\right) - A c^{3} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} - \frac{4 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b c^{2} \mathrm{sgn}\left(x\right) - 4 \, \sqrt{c x^{2} + b} B b^{2} c^{2} \mathrm{sgn}\left(x\right) + {\left(c x^{2} + b\right)}^{\frac{3}{2}} A c^{3} \mathrm{sgn}\left(x\right) + \sqrt{c x^{2} + b} A b c^{3} \mathrm{sgn}\left(x\right)}{b c^{2} x^{4}}}{8 \, c}"," ",0,"1/8*((4*B*b*c^2*sgn(x) - A*c^3*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/(sqrt(-b)*b) - (4*(c*x^2 + b)^(3/2)*B*b*c^2*sgn(x) - 4*sqrt(c*x^2 + b)*B*b^2*c^2*sgn(x) + (c*x^2 + b)^(3/2)*A*c^3*sgn(x) + sqrt(c*x^2 + b)*A*b*c^3*sgn(x))/(b*c^2*x^4))/c","A",0
106,1,280,0,0.336925," ","integrate(x^5*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{1}{215040} \, {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, {\left(12 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{15 \, B b c^{12} \mathrm{sgn}\left(x\right) + 14 \, A c^{13} \mathrm{sgn}\left(x\right)}{c^{12}}\right)} x^{2} + \frac{3 \, B b^{2} c^{11} \mathrm{sgn}\left(x\right) + 182 \, A b c^{12} \mathrm{sgn}\left(x\right)}{c^{12}}\right)} x^{2} - \frac{3 \, {\left(9 \, B b^{3} c^{10} \mathrm{sgn}\left(x\right) - 14 \, A b^{2} c^{11} \mathrm{sgn}\left(x\right)\right)}}{c^{12}}\right)} x^{2} + \frac{7 \, {\left(9 \, B b^{4} c^{9} \mathrm{sgn}\left(x\right) - 14 \, A b^{3} c^{10} \mathrm{sgn}\left(x\right)\right)}}{c^{12}}\right)} x^{2} - \frac{35 \, {\left(9 \, B b^{5} c^{8} \mathrm{sgn}\left(x\right) - 14 \, A b^{4} c^{9} \mathrm{sgn}\left(x\right)\right)}}{c^{12}}\right)} x^{2} + \frac{105 \, {\left(9 \, B b^{6} c^{7} \mathrm{sgn}\left(x\right) - 14 \, A b^{5} c^{8} \mathrm{sgn}\left(x\right)\right)}}{c^{12}}\right)} \sqrt{c x^{2} + b} x + \frac{{\left(9 \, B b^{7} \mathrm{sgn}\left(x\right) - 14 \, A b^{6} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{2048 \, c^{\frac{11}{2}}} - \frac{{\left(9 \, B b^{7} \log\left({\left| b \right|}\right) - 14 \, A b^{6} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{4096 \, c^{\frac{11}{2}}}"," ",0,"1/215040*(2*(4*(2*(8*(10*(12*B*c*x^2*sgn(x) + (15*B*b*c^12*sgn(x) + 14*A*c^13*sgn(x))/c^12)*x^2 + (3*B*b^2*c^11*sgn(x) + 182*A*b*c^12*sgn(x))/c^12)*x^2 - 3*(9*B*b^3*c^10*sgn(x) - 14*A*b^2*c^11*sgn(x))/c^12)*x^2 + 7*(9*B*b^4*c^9*sgn(x) - 14*A*b^3*c^10*sgn(x))/c^12)*x^2 - 35*(9*B*b^5*c^8*sgn(x) - 14*A*b^4*c^9*sgn(x))/c^12)*x^2 + 105*(9*B*b^6*c^7*sgn(x) - 14*A*b^5*c^8*sgn(x))/c^12)*sqrt(c*x^2 + b)*x + 1/2048*(9*B*b^7*sgn(x) - 14*A*b^6*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(11/2) - 1/4096*(9*B*b^7*log(abs(b)) - 14*A*b^6*c*log(abs(b)))*sgn(x)/c^(11/2)","A",0
107,1,246,0,0.231787," ","integrate(x^3*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{1}{15360} \, {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, {\left(10 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{13 \, B b c^{10} \mathrm{sgn}\left(x\right) + 12 \, A c^{11} \mathrm{sgn}\left(x\right)}{c^{10}}\right)} x^{2} + \frac{3 \, {\left(B b^{2} c^{9} \mathrm{sgn}\left(x\right) + 44 \, A b c^{10} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} x^{2} - \frac{7 \, B b^{3} c^{8} \mathrm{sgn}\left(x\right) - 12 \, A b^{2} c^{9} \mathrm{sgn}\left(x\right)}{c^{10}}\right)} x^{2} + \frac{5 \, {\left(7 \, B b^{4} c^{7} \mathrm{sgn}\left(x\right) - 12 \, A b^{3} c^{8} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} x^{2} - \frac{15 \, {\left(7 \, B b^{5} c^{6} \mathrm{sgn}\left(x\right) - 12 \, A b^{4} c^{7} \mathrm{sgn}\left(x\right)\right)}}{c^{10}}\right)} \sqrt{c x^{2} + b} x - \frac{{\left(7 \, B b^{6} \mathrm{sgn}\left(x\right) - 12 \, A b^{5} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{1024 \, c^{\frac{9}{2}}} + \frac{{\left(7 \, B b^{6} \log\left({\left| b \right|}\right) - 12 \, A b^{5} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{2048 \, c^{\frac{9}{2}}}"," ",0,"1/15360*(2*(4*(2*(8*(10*B*c*x^2*sgn(x) + (13*B*b*c^10*sgn(x) + 12*A*c^11*sgn(x))/c^10)*x^2 + 3*(B*b^2*c^9*sgn(x) + 44*A*b*c^10*sgn(x))/c^10)*x^2 - (7*B*b^3*c^8*sgn(x) - 12*A*b^2*c^9*sgn(x))/c^10)*x^2 + 5*(7*B*b^4*c^7*sgn(x) - 12*A*b^3*c^8*sgn(x))/c^10)*x^2 - 15*(7*B*b^5*c^6*sgn(x) - 12*A*b^4*c^7*sgn(x))/c^10)*sqrt(c*x^2 + b)*x - 1/1024*(7*B*b^6*sgn(x) - 12*A*b^5*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(9/2) + 1/2048*(7*B*b^6*log(abs(b)) - 12*A*b^5*c*log(abs(b)))*sgn(x)/c^(9/2)","A",0
108,1,207,0,0.217437," ","integrate(x*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{1}{1280} \, {\left(2 \, {\left(4 \, {\left(2 \, {\left(8 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{11 \, B b c^{8} \mathrm{sgn}\left(x\right) + 10 \, A c^{9} \mathrm{sgn}\left(x\right)}{c^{8}}\right)} x^{2} + \frac{B b^{2} c^{7} \mathrm{sgn}\left(x\right) + 30 \, A b c^{8} \mathrm{sgn}\left(x\right)}{c^{8}}\right)} x^{2} - \frac{5 \, {\left(B b^{3} c^{6} \mathrm{sgn}\left(x\right) - 2 \, A b^{2} c^{7} \mathrm{sgn}\left(x\right)\right)}}{c^{8}}\right)} x^{2} + \frac{15 \, {\left(B b^{4} c^{5} \mathrm{sgn}\left(x\right) - 2 \, A b^{3} c^{6} \mathrm{sgn}\left(x\right)\right)}}{c^{8}}\right)} \sqrt{c x^{2} + b} x + \frac{3 \, {\left(B b^{5} \mathrm{sgn}\left(x\right) - 2 \, A b^{4} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{256 \, c^{\frac{7}{2}}} - \frac{3 \, {\left(B b^{5} \log\left({\left| b \right|}\right) - 2 \, A b^{4} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{512 \, c^{\frac{7}{2}}}"," ",0,"1/1280*(2*(4*(2*(8*B*c*x^2*sgn(x) + (11*B*b*c^8*sgn(x) + 10*A*c^9*sgn(x))/c^8)*x^2 + (B*b^2*c^7*sgn(x) + 30*A*b*c^8*sgn(x))/c^8)*x^2 - 5*(B*b^3*c^6*sgn(x) - 2*A*b^2*c^7*sgn(x))/c^8)*x^2 + 15*(B*b^4*c^5*sgn(x) - 2*A*b^3*c^6*sgn(x))/c^8)*sqrt(c*x^2 + b)*x + 3/256*(B*b^5*sgn(x) - 2*A*b^4*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(7/2) - 3/512*(B*b^5*log(abs(b)) - 2*A*b^4*c*log(abs(b)))*sgn(x)/c^(7/2)","A",0
109,1,178,0,0.201566," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x,x, algorithm=""giac"")","\frac{1}{384} \, {\left(2 \, {\left(4 \, {\left(6 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{9 \, B b c^{6} \mathrm{sgn}\left(x\right) + 8 \, A c^{7} \mathrm{sgn}\left(x\right)}{c^{6}}\right)} x^{2} + \frac{3 \, B b^{2} c^{5} \mathrm{sgn}\left(x\right) + 56 \, A b c^{6} \mathrm{sgn}\left(x\right)}{c^{6}}\right)} x^{2} - \frac{3 \, {\left(3 \, B b^{3} c^{4} \mathrm{sgn}\left(x\right) - 8 \, A b^{2} c^{5} \mathrm{sgn}\left(x\right)\right)}}{c^{6}}\right)} \sqrt{c x^{2} + b} x - \frac{{\left(3 \, B b^{4} \mathrm{sgn}\left(x\right) - 8 \, A b^{3} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{128 \, c^{\frac{5}{2}}} + \frac{{\left(3 \, B b^{4} \log\left({\left| b \right|}\right) - 8 \, A b^{3} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{256 \, c^{\frac{5}{2}}}"," ",0,"1/384*(2*(4*(6*B*c*x^2*sgn(x) + (9*B*b*c^6*sgn(x) + 8*A*c^7*sgn(x))/c^6)*x^2 + (3*B*b^2*c^5*sgn(x) + 56*A*b*c^6*sgn(x))/c^6)*x^2 - 3*(3*B*b^3*c^4*sgn(x) - 8*A*b^2*c^5*sgn(x))/c^6)*sqrt(c*x^2 + b)*x - 1/128*(3*B*b^4*sgn(x) - 8*A*b^3*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(5/2) + 1/256*(3*B*b^4*log(abs(b)) - 8*A*b^3*c*log(abs(b)))*sgn(x)/c^(5/2)","A",0
110,1,142,0,0.207318," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^3,x, algorithm=""giac"")","\frac{1}{48} \, {\left(2 \, {\left(4 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{7 \, B b c^{4} \mathrm{sgn}\left(x\right) + 6 \, A c^{5} \mathrm{sgn}\left(x\right)}{c^{4}}\right)} x^{2} + \frac{3 \, {\left(B b^{2} c^{3} \mathrm{sgn}\left(x\right) + 10 \, A b c^{4} \mathrm{sgn}\left(x\right)\right)}}{c^{4}}\right)} \sqrt{c x^{2} + b} x + \frac{{\left(B b^{3} \mathrm{sgn}\left(x\right) - 6 \, A b^{2} c \mathrm{sgn}\left(x\right)\right)} \log\left({\left| -\sqrt{c} x + \sqrt{c x^{2} + b} \right|}\right)}{16 \, c^{\frac{3}{2}}} - \frac{{\left(B b^{3} \log\left({\left| b \right|}\right) - 6 \, A b^{2} c \log\left({\left| b \right|}\right)\right)} \mathrm{sgn}\left(x\right)}{32 \, c^{\frac{3}{2}}}"," ",0,"1/48*(2*(4*B*c*x^2*sgn(x) + (7*B*b*c^4*sgn(x) + 6*A*c^5*sgn(x))/c^4)*x^2 + 3*(B*b^2*c^3*sgn(x) + 10*A*b*c^4*sgn(x))/c^4)*sqrt(c*x^2 + b)*x + 1/16*(B*b^3*sgn(x) - 6*A*b^2*c*sgn(x))*log(abs(-sqrt(c)*x + sqrt(c*x^2 + b)))/c^(3/2) - 1/32*(B*b^3*log(abs(b)) - 6*A*b^2*c*log(abs(b)))*sgn(x)/c^(3/2)","A",0
111,1,126,0,0.346937," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^5,x, algorithm=""giac"")","\frac{2 \, A b^{2} \sqrt{c} \mathrm{sgn}\left(x\right)}{{\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b} + \frac{1}{8} \, {\left(2 \, B c x^{2} \mathrm{sgn}\left(x\right) + \frac{5 \, B b c^{2} \mathrm{sgn}\left(x\right) + 4 \, A c^{3} \mathrm{sgn}\left(x\right)}{c^{2}}\right)} \sqrt{c x^{2} + b} x - \frac{3 \, {\left(B b^{2} \sqrt{c} \mathrm{sgn}\left(x\right) + 4 \, A b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2}\right)}{16 \, c}"," ",0,"2*A*b^2*sqrt(c)*sgn(x)/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b) + 1/8*(2*B*c*x^2*sgn(x) + (5*B*b*c^2*sgn(x) + 4*A*c^3*sgn(x))/c^2)*sqrt(c*x^2 + b)*x - 3/16*(B*b^2*sqrt(c)*sgn(x) + 4*A*b*c^(3/2)*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + b))^2)/c","A",0
112,1,225,0,0.526261," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^7,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{c x^{2} + b} B c x \mathrm{sgn}\left(x\right) - \frac{1}{4} \, {\left(3 \, B b \sqrt{c} \mathrm{sgn}\left(x\right) + 2 \, A c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)\right)} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2}\right) + \frac{2 \, {\left(3 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{2} \sqrt{c} \mathrm{sgn}\left(x\right) + 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{3} \sqrt{c} \mathrm{sgn}\left(x\right) - 6 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{2} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 3 \, B b^{4} \sqrt{c} \mathrm{sgn}\left(x\right) + 4 \, A b^{3} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right)\right)}}{3 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{3}}"," ",0,"1/2*sqrt(c*x^2 + b)*B*c*x*sgn(x) - 1/4*(3*B*b*sqrt(c)*sgn(x) + 2*A*c^(3/2)*sgn(x))*log((sqrt(c)*x - sqrt(c*x^2 + b))^2) + 2/3*(3*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^2*sqrt(c)*sgn(x) + 6*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b*c^(3/2)*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^3*sqrt(c)*sgn(x) - 6*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^2*c^(3/2)*sgn(x) + 3*B*b^4*sqrt(c)*sgn(x) + 4*A*b^3*c^(3/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^3","A",0
113,1,254,0,1.024265," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^9,x, algorithm=""giac"")","-\frac{1}{2} \, B c^{\frac{3}{2}} \log\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2}\right) \mathrm{sgn}\left(x\right) + \frac{2 \, {\left(30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 15 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 90 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{2} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 110 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{3} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{2} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{4} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 20 \, B b^{5} c^{\frac{3}{2}} \mathrm{sgn}\left(x\right) + 3 \, A b^{4} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right)\right)}}{15 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{5}}"," ",0,"-1/2*B*c^(3/2)*log((sqrt(c)*x - sqrt(c*x^2 + b))^2)*sgn(x) + 2/15*(30*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b*c^(3/2)*sgn(x) + 15*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*c^(5/2)*sgn(x) - 90*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^2*c^(3/2)*sgn(x) + 110*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^3*c^(3/2)*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^2*c^(5/2)*sgn(x) - 70*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^4*c^(3/2)*sgn(x) + 20*B*b^5*c^(3/2)*sgn(x) + 3*A*b^4*c^(5/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^5","B",0
114,1,370,0,1.889159," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^11,x, algorithm=""giac"")","\frac{2 \, {\left(35 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 105 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{2} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 70 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{3} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 140 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{2} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 77 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{4} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 28 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{3} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 14 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{5} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) + 14 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{4} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 7 \, B b^{6} c^{\frac{5}{2}} \mathrm{sgn}\left(x\right) - 2 \, A b^{5} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right)\right)}}{35 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{7}}"," ",0,"2/35*(35*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*c^(5/2)*sgn(x) - 70*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b*c^(5/2)*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*c^(7/2)*sgn(x) + 105*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^2*c^(5/2)*sgn(x) + 70*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b*c^(7/2)*sgn(x) - 140*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^3*c^(5/2)*sgn(x) + 140*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^2*c^(7/2)*sgn(x) + 77*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^4*c^(5/2)*sgn(x) + 28*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^3*c^(7/2)*sgn(x) - 14*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^5*c^(5/2)*sgn(x) + 14*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^4*c^(7/2)*sgn(x) + 7*B*b^6*c^(5/2)*sgn(x) - 2*A*b^5*c^(7/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^7","B",0
115,1,430,0,2.863043," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^13,x, algorithm=""giac"")","\frac{4 \, {\left(315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} B c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B b c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 840 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} A c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b^{2} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 1260 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 819 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{3} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 1764 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b^{2} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 441 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{4} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 504 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{3} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 9 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{5} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 144 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{4} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 81 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{6} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) - 36 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{5} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 9 \, B b^{7} c^{\frac{7}{2}} \mathrm{sgn}\left(x\right) + 4 \, A b^{6} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right)\right)}}{315 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{9}}"," ",0,"4/315*(315*(sqrt(c)*x - sqrt(c*x^2 + b))^14*B*c^(7/2)*sgn(x) - 315*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*b*c^(7/2)*sgn(x) + 840*(sqrt(c)*x - sqrt(c*x^2 + b))^12*A*c^(9/2)*sgn(x) + 315*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b^2*c^(7/2)*sgn(x) + 1260*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*b*c^(9/2)*sgn(x) - 819*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^3*c^(7/2)*sgn(x) + 1764*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b^2*c^(9/2)*sgn(x) + 441*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^4*c^(7/2)*sgn(x) + 504*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^3*c^(9/2)*sgn(x) - 9*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^5*c^(7/2)*sgn(x) + 144*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^4*c^(9/2)*sgn(x) + 81*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^6*c^(7/2)*sgn(x) - 36*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^5*c^(9/2)*sgn(x) - 9*B*b^7*c^(7/2)*sgn(x) + 4*A*b^6*c^(9/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^9","B",0
116,1,490,0,3.234874," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^15,x, algorithm=""giac"")","\frac{16 \, {\left(2310 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{16} B c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 1155 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} B b c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 6930 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} A c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 231 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B b^{2} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 12474 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} A b c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 4851 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b^{3} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 15246 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A b^{2} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 2475 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{4} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 4950 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b^{3} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 495 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{5} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 990 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{4} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 605 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{6} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 330 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{5} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 121 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{7} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) + 66 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{6} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 11 \, B b^{8} c^{\frac{9}{2}} \mathrm{sgn}\left(x\right) - 6 \, A b^{7} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right)\right)}}{3465 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{11}}"," ",0,"16/3465*(2310*(sqrt(c)*x - sqrt(c*x^2 + b))^16*B*c^(9/2)*sgn(x) - 1155*(sqrt(c)*x - sqrt(c*x^2 + b))^14*B*b*c^(9/2)*sgn(x) + 6930*(sqrt(c)*x - sqrt(c*x^2 + b))^14*A*c^(11/2)*sgn(x) + 231*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*b^2*c^(9/2)*sgn(x) + 12474*(sqrt(c)*x - sqrt(c*x^2 + b))^12*A*b*c^(11/2)*sgn(x) - 4851*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b^3*c^(9/2)*sgn(x) + 15246*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*b^2*c^(11/2)*sgn(x) + 2475*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^4*c^(9/2)*sgn(x) + 4950*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b^3*c^(11/2)*sgn(x) + 495*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^5*c^(9/2)*sgn(x) + 990*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^4*c^(11/2)*sgn(x) + 605*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^6*c^(9/2)*sgn(x) - 330*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^5*c^(11/2)*sgn(x) - 121*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^7*c^(9/2)*sgn(x) + 66*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^6*c^(11/2)*sgn(x) + 11*B*b^8*c^(9/2)*sgn(x) - 6*A*b^7*c^(11/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^11","B",0
117,1,550,0,4.405413," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^17,x, algorithm=""giac"")","\frac{32 \, {\left(15015 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{18} B c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 3003 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{16} B b c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 48048 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{16} A c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 6006 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} B b^{2} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 96096 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} A b c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 28314 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B b^{3} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 109824 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} A b^{2} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 13728 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b^{4} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 37752 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A b^{3} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 5720 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{5} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 5720 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b^{4} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 3718 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{6} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 2288 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{5} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 1014 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{7} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 624 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{6} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 169 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{8} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) - 104 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{7} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 13 \, B b^{9} c^{\frac{11}{2}} \mathrm{sgn}\left(x\right) + 8 \, A b^{8} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right)\right)}}{15015 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{13}}"," ",0,"32/15015*(15015*(sqrt(c)*x - sqrt(c*x^2 + b))^18*B*c^(11/2)*sgn(x) - 3003*(sqrt(c)*x - sqrt(c*x^2 + b))^16*B*b*c^(11/2)*sgn(x) + 48048*(sqrt(c)*x - sqrt(c*x^2 + b))^16*A*c^(13/2)*sgn(x) - 6006*(sqrt(c)*x - sqrt(c*x^2 + b))^14*B*b^2*c^(11/2)*sgn(x) + 96096*(sqrt(c)*x - sqrt(c*x^2 + b))^14*A*b*c^(13/2)*sgn(x) - 28314*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*b^3*c^(11/2)*sgn(x) + 109824*(sqrt(c)*x - sqrt(c*x^2 + b))^12*A*b^2*c^(13/2)*sgn(x) + 13728*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b^4*c^(11/2)*sgn(x) + 37752*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*b^3*c^(13/2)*sgn(x) + 5720*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^5*c^(11/2)*sgn(x) + 5720*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b^4*c^(13/2)*sgn(x) + 3718*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^6*c^(11/2)*sgn(x) - 2288*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^5*c^(13/2)*sgn(x) - 1014*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^7*c^(11/2)*sgn(x) + 624*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^6*c^(13/2)*sgn(x) + 169*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^8*c^(11/2)*sgn(x) - 104*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^7*c^(13/2)*sgn(x) - 13*B*b^9*c^(11/2)*sgn(x) + 8*A*b^8*c^(13/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^13","B",0
118,1,582,0,5.434779," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^19,x, algorithm=""giac"")","\frac{256 \, {\left(18018 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{20} B c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 60060 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{18} A c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) - 12870 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{16} B b^{2} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 128700 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{16} A b c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) - 32175 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} B b^{3} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 141570 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{14} A b^{2} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) + 15015 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} B b^{4} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 50050 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{12} A b^{3} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) + 9009 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} B b^{5} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 6006 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{10} A b^{4} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) + 4095 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} B b^{6} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 2730 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{8} A b^{5} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) - 1365 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} B b^{7} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 910 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{6} A b^{6} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) + 315 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} B b^{8} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 210 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{4} A b^{7} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) - 45 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} B b^{9} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) + 30 \, {\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} A b^{8} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right) + 3 \, B b^{10} c^{\frac{13}{2}} \mathrm{sgn}\left(x\right) - 2 \, A b^{9} c^{\frac{15}{2}} \mathrm{sgn}\left(x\right)\right)}}{45045 \, {\left({\left(\sqrt{c} x - \sqrt{c x^{2} + b}\right)}^{2} - b\right)}^{15}}"," ",0,"256/45045*(18018*(sqrt(c)*x - sqrt(c*x^2 + b))^20*B*c^(13/2)*sgn(x) + 60060*(sqrt(c)*x - sqrt(c*x^2 + b))^18*A*c^(15/2)*sgn(x) - 12870*(sqrt(c)*x - sqrt(c*x^2 + b))^16*B*b^2*c^(13/2)*sgn(x) + 128700*(sqrt(c)*x - sqrt(c*x^2 + b))^16*A*b*c^(15/2)*sgn(x) - 32175*(sqrt(c)*x - sqrt(c*x^2 + b))^14*B*b^3*c^(13/2)*sgn(x) + 141570*(sqrt(c)*x - sqrt(c*x^2 + b))^14*A*b^2*c^(15/2)*sgn(x) + 15015*(sqrt(c)*x - sqrt(c*x^2 + b))^12*B*b^4*c^(13/2)*sgn(x) + 50050*(sqrt(c)*x - sqrt(c*x^2 + b))^12*A*b^3*c^(15/2)*sgn(x) + 9009*(sqrt(c)*x - sqrt(c*x^2 + b))^10*B*b^5*c^(13/2)*sgn(x) + 6006*(sqrt(c)*x - sqrt(c*x^2 + b))^10*A*b^4*c^(15/2)*sgn(x) + 4095*(sqrt(c)*x - sqrt(c*x^2 + b))^8*B*b^6*c^(13/2)*sgn(x) - 2730*(sqrt(c)*x - sqrt(c*x^2 + b))^8*A*b^5*c^(15/2)*sgn(x) - 1365*(sqrt(c)*x - sqrt(c*x^2 + b))^6*B*b^7*c^(13/2)*sgn(x) + 910*(sqrt(c)*x - sqrt(c*x^2 + b))^6*A*b^6*c^(15/2)*sgn(x) + 315*(sqrt(c)*x - sqrt(c*x^2 + b))^4*B*b^8*c^(13/2)*sgn(x) - 210*(sqrt(c)*x - sqrt(c*x^2 + b))^4*A*b^7*c^(15/2)*sgn(x) - 45*(sqrt(c)*x - sqrt(c*x^2 + b))^2*B*b^9*c^(13/2)*sgn(x) + 30*(sqrt(c)*x - sqrt(c*x^2 + b))^2*A*b^8*c^(15/2)*sgn(x) + 3*B*b^10*c^(13/2)*sgn(x) - 2*A*b^9*c^(15/2)*sgn(x))/((sqrt(c)*x - sqrt(c*x^2 + b))^2 - b)^15","B",0
119,1,175,0,0.339961," ","integrate(x^4*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","-\frac{16 \, {\left(8 \, B b^{\frac{13}{2}} - 13 \, A b^{\frac{11}{2}} c\right)} \mathrm{sgn}\left(x\right)}{15015 \, c^{5}} + \frac{1155 \, {\left(c x^{2} + b\right)}^{\frac{13}{2}} B \mathrm{sgn}\left(x\right) - 5460 \, {\left(c x^{2} + b\right)}^{\frac{11}{2}} B b \mathrm{sgn}\left(x\right) + 10010 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B b^{2} \mathrm{sgn}\left(x\right) - 8580 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b^{3} \mathrm{sgn}\left(x\right) + 3003 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{4} \mathrm{sgn}\left(x\right) + 1365 \, {\left(c x^{2} + b\right)}^{\frac{11}{2}} A c \mathrm{sgn}\left(x\right) - 5005 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} A b c \mathrm{sgn}\left(x\right) + 6435 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A b^{2} c \mathrm{sgn}\left(x\right) - 3003 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b^{3} c \mathrm{sgn}\left(x\right)}{15015 \, c^{5}}"," ",0,"-16/15015*(8*B*b^(13/2) - 13*A*b^(11/2)*c)*sgn(x)/c^5 + 1/15015*(1155*(c*x^2 + b)^(13/2)*B*sgn(x) - 5460*(c*x^2 + b)^(11/2)*B*b*sgn(x) + 10010*(c*x^2 + b)^(9/2)*B*b^2*sgn(x) - 8580*(c*x^2 + b)^(7/2)*B*b^3*sgn(x) + 3003*(c*x^2 + b)^(5/2)*B*b^4*sgn(x) + 1365*(c*x^2 + b)^(11/2)*A*c*sgn(x) - 5005*(c*x^2 + b)^(9/2)*A*b*c*sgn(x) + 6435*(c*x^2 + b)^(7/2)*A*b^2*c*sgn(x) - 3003*(c*x^2 + b)^(5/2)*A*b^3*c*sgn(x))/c^5","A",0
120,1,140,0,0.211041," ","integrate(x^2*(B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{8 \, {\left(6 \, B b^{\frac{11}{2}} - 11 \, A b^{\frac{9}{2}} c\right)} \mathrm{sgn}\left(x\right)}{3465 \, c^{4}} + \frac{315 \, {\left(c x^{2} + b\right)}^{\frac{11}{2}} B \mathrm{sgn}\left(x\right) - 1155 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B b \mathrm{sgn}\left(x\right) + 1485 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b^{2} \mathrm{sgn}\left(x\right) - 693 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{3} \mathrm{sgn}\left(x\right) + 385 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} A c \mathrm{sgn}\left(x\right) - 990 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A b c \mathrm{sgn}\left(x\right) + 693 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b^{2} c \mathrm{sgn}\left(x\right)}{3465 \, c^{4}}"," ",0,"8/3465*(6*B*b^(11/2) - 11*A*b^(9/2)*c)*sgn(x)/c^4 + 1/3465*(315*(c*x^2 + b)^(11/2)*B*sgn(x) - 1155*(c*x^2 + b)^(9/2)*B*b*sgn(x) + 1485*(c*x^2 + b)^(7/2)*B*b^2*sgn(x) - 693*(c*x^2 + b)^(5/2)*B*b^3*sgn(x) + 385*(c*x^2 + b)^(9/2)*A*c*sgn(x) - 990*(c*x^2 + b)^(7/2)*A*b*c*sgn(x) + 693*(c*x^2 + b)^(5/2)*A*b^2*c*sgn(x))/c^4","A",0
121,1,105,0,0.167833," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, {\left(4 \, B b^{\frac{9}{2}} - 9 \, A b^{\frac{7}{2}} c\right)} \mathrm{sgn}\left(x\right)}{315 \, c^{3}} + \frac{35 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B \mathrm{sgn}\left(x\right) - 90 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b \mathrm{sgn}\left(x\right) + 63 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{2} \mathrm{sgn}\left(x\right) + 45 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A c \mathrm{sgn}\left(x\right) - 63 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b c \mathrm{sgn}\left(x\right)}{315 \, c^{3}}"," ",0,"-2/315*(4*B*b^(9/2) - 9*A*b^(7/2)*c)*sgn(x)/c^3 + 1/315*(35*(c*x^2 + b)^(9/2)*B*sgn(x) - 90*(c*x^2 + b)^(7/2)*B*b*sgn(x) + 63*(c*x^2 + b)^(5/2)*B*b^2*sgn(x) + 45*(c*x^2 + b)^(7/2)*A*c*sgn(x) - 63*(c*x^2 + b)^(5/2)*A*b*c*sgn(x))/c^3","A",0
122,1,72,0,0.213084," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^2,x, algorithm=""giac"")","\frac{{\left(2 \, B b^{\frac{7}{2}} - 7 \, A b^{\frac{5}{2}} c\right)} \mathrm{sgn}\left(x\right)}{35 \, c^{2}} + \frac{5 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B \mathrm{sgn}\left(x\right) - 7 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b \mathrm{sgn}\left(x\right) + 7 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A c \mathrm{sgn}\left(x\right)}{35 \, c^{2}}"," ",0,"1/35*(2*B*b^(7/2) - 7*A*b^(5/2)*c)*sgn(x)/c^2 + 1/35*(5*(c*x^2 + b)^(7/2)*B*sgn(x) - 7*(c*x^2 + b)^(5/2)*B*b*sgn(x) + 7*(c*x^2 + b)^(5/2)*A*c*sgn(x))/c^2","A",0
123,1,140,0,0.175599," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^4,x, algorithm=""giac"")","\frac{A b^{2} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right) \mathrm{sgn}\left(x\right)}{\sqrt{-b}} - \frac{{\left(15 \, A b^{2} c \arctan\left(\frac{\sqrt{b}}{\sqrt{-b}}\right) + 3 \, B \sqrt{-b} b^{\frac{5}{2}} + 20 \, A \sqrt{-b} b^{\frac{3}{2}} c\right)} \mathrm{sgn}\left(x\right)}{15 \, \sqrt{-b} c} + \frac{3 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B c^{4} \mathrm{sgn}\left(x\right) + 5 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A c^{5} \mathrm{sgn}\left(x\right) + 15 \, \sqrt{c x^{2} + b} A b c^{5} \mathrm{sgn}\left(x\right)}{15 \, c^{5}}"," ",0,"A*b^2*arctan(sqrt(c*x^2 + b)/sqrt(-b))*sgn(x)/sqrt(-b) - 1/15*(15*A*b^2*c*arctan(sqrt(b)/sqrt(-b)) + 3*B*sqrt(-b)*b^(5/2) + 20*A*sqrt(-b)*b^(3/2)*c)*sgn(x)/(sqrt(-b)*c) + 1/15*(3*(c*x^2 + b)^(5/2)*B*c^4*sgn(x) + 5*(c*x^2 + b)^(3/2)*A*c^5*sgn(x) + 15*sqrt(c*x^2 + b)*A*b*c^5*sgn(x))/c^5","A",0
124,1,115,0,0.275890," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^6,x, algorithm=""giac"")","\frac{2 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B c \mathrm{sgn}\left(x\right) + 6 \, \sqrt{c x^{2} + b} B b c \mathrm{sgn}\left(x\right) + 6 \, \sqrt{c x^{2} + b} A c^{2} \mathrm{sgn}\left(x\right) - \frac{3 \, \sqrt{c x^{2} + b} A b c \mathrm{sgn}\left(x\right)}{x^{2}} + \frac{3 \, {\left(2 \, B b^{2} c \mathrm{sgn}\left(x\right) + 3 \, A b c^{2} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b}}}{6 \, c}"," ",0,"1/6*(2*(c*x^2 + b)^(3/2)*B*c*sgn(x) + 6*sqrt(c*x^2 + b)*B*b*c*sgn(x) + 6*sqrt(c*x^2 + b)*A*c^2*sgn(x) - 3*sqrt(c*x^2 + b)*A*b*c*sgn(x)/x^2 + 3*(2*B*b^2*c*sgn(x) + 3*A*b*c^2*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/sqrt(-b))/c","A",0
125,1,145,0,0.257084," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^8,x, algorithm=""giac"")","\frac{8 \, \sqrt{c x^{2} + b} B c^{2} \mathrm{sgn}\left(x\right) + \frac{3 \, {\left(4 \, B b c^{2} \mathrm{sgn}\left(x\right) + A c^{3} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b}} - \frac{4 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b c^{2} \mathrm{sgn}\left(x\right) - 4 \, \sqrt{c x^{2} + b} B b^{2} c^{2} \mathrm{sgn}\left(x\right) + 5 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A c^{3} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{c x^{2} + b} A b c^{3} \mathrm{sgn}\left(x\right)}{c^{2} x^{4}}}{8 \, c}"," ",0,"1/8*(8*sqrt(c*x^2 + b)*B*c^2*sgn(x) + 3*(4*B*b*c^2*sgn(x) + A*c^3*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/sqrt(-b) - (4*(c*x^2 + b)^(3/2)*B*b*c^2*sgn(x) - 4*sqrt(c*x^2 + b)*B*b^2*c^2*sgn(x) + 5*(c*x^2 + b)^(3/2)*A*c^3*sgn(x) - 3*sqrt(c*x^2 + b)*A*b*c^3*sgn(x))/(c^2*x^4))/c","A",0
126,1,175,0,0.271891," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^10,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(6 \, B b c^{3} \mathrm{sgn}\left(x\right) - A c^{4} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b} - \frac{30 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b c^{3} \mathrm{sgn}\left(x\right) - 48 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{2} c^{3} \mathrm{sgn}\left(x\right) + 18 \, \sqrt{c x^{2} + b} B b^{3} c^{3} \mathrm{sgn}\left(x\right) + 3 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A c^{4} \mathrm{sgn}\left(x\right) + 8 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b c^{4} \mathrm{sgn}\left(x\right) - 3 \, \sqrt{c x^{2} + b} A b^{2} c^{4} \mathrm{sgn}\left(x\right)}{b c^{3} x^{6}}}{48 \, c}"," ",0,"1/48*(3*(6*B*b*c^3*sgn(x) - A*c^4*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/(sqrt(-b)*b) - (30*(c*x^2 + b)^(5/2)*B*b*c^3*sgn(x) - 48*(c*x^2 + b)^(3/2)*B*b^2*c^3*sgn(x) + 18*sqrt(c*x^2 + b)*B*b^3*c^3*sgn(x) + 3*(c*x^2 + b)^(5/2)*A*c^4*sgn(x) + 8*(c*x^2 + b)^(3/2)*A*b*c^4*sgn(x) - 3*sqrt(c*x^2 + b)*A*b^2*c^4*sgn(x))/(b*c^3*x^6))/c","A",0
127,1,214,0,0.324730," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^12,x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(8 \, B b c^{4} \mathrm{sgn}\left(x\right) - 3 \, A c^{5} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{2}} + \frac{24 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b c^{4} \mathrm{sgn}\left(x\right) + 40 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{2} c^{4} \mathrm{sgn}\left(x\right) - 88 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{3} c^{4} \mathrm{sgn}\left(x\right) + 24 \, \sqrt{c x^{2} + b} B b^{4} c^{4} \mathrm{sgn}\left(x\right) - 9 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A c^{5} \mathrm{sgn}\left(x\right) + 33 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b c^{5} \mathrm{sgn}\left(x\right) + 33 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b^{2} c^{5} \mathrm{sgn}\left(x\right) - 9 \, \sqrt{c x^{2} + b} A b^{3} c^{5} \mathrm{sgn}\left(x\right)}{b^{2} c^{4} x^{8}}}{384 \, c}"," ",0,"-1/384*(3*(8*B*b*c^4*sgn(x) - 3*A*c^5*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/(sqrt(-b)*b^2) + (24*(c*x^2 + b)^(7/2)*B*b*c^4*sgn(x) + 40*(c*x^2 + b)^(5/2)*B*b^2*c^4*sgn(x) - 88*(c*x^2 + b)^(3/2)*B*b^3*c^4*sgn(x) + 24*sqrt(c*x^2 + b)*B*b^4*c^4*sgn(x) - 9*(c*x^2 + b)^(7/2)*A*c^5*sgn(x) + 33*(c*x^2 + b)^(5/2)*A*b*c^5*sgn(x) + 33*(c*x^2 + b)^(3/2)*A*b^2*c^5*sgn(x) - 9*sqrt(c*x^2 + b)*A*b^3*c^5*sgn(x))/(b^2*c^4*x^8))/c","A",0
128,1,234,0,0.308774," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^14,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(2 \, B b c^{5} \mathrm{sgn}\left(x\right) - A c^{6} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{3}} + \frac{30 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B b c^{5} \mathrm{sgn}\left(x\right) - 140 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b^{2} c^{5} \mathrm{sgn}\left(x\right) + 140 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{4} c^{5} \mathrm{sgn}\left(x\right) - 30 \, \sqrt{c x^{2} + b} B b^{5} c^{5} \mathrm{sgn}\left(x\right) - 15 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} A c^{6} \mathrm{sgn}\left(x\right) + 70 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A b c^{6} \mathrm{sgn}\left(x\right) - 128 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b^{2} c^{6} \mathrm{sgn}\left(x\right) - 70 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b^{3} c^{6} \mathrm{sgn}\left(x\right) + 15 \, \sqrt{c x^{2} + b} A b^{4} c^{6} \mathrm{sgn}\left(x\right)}{b^{3} c^{5} x^{10}}}{1280 \, c}"," ",0,"1/1280*(15*(2*B*b*c^5*sgn(x) - A*c^6*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/(sqrt(-b)*b^3) + (30*(c*x^2 + b)^(9/2)*B*b*c^5*sgn(x) - 140*(c*x^2 + b)^(7/2)*B*b^2*c^5*sgn(x) + 140*(c*x^2 + b)^(3/2)*B*b^4*c^5*sgn(x) - 30*sqrt(c*x^2 + b)*B*b^5*c^5*sgn(x) - 15*(c*x^2 + b)^(9/2)*A*c^6*sgn(x) + 70*(c*x^2 + b)^(7/2)*A*b*c^6*sgn(x) - 128*(c*x^2 + b)^(5/2)*A*b^2*c^6*sgn(x) - 70*(c*x^2 + b)^(3/2)*A*b^3*c^6*sgn(x) + 15*sqrt(c*x^2 + b)*A*b^4*c^6*sgn(x))/(b^3*c^5*x^10))/c","A",0
129,1,294,0,0.374478," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^(3/2)/x^16,x, algorithm=""giac"")","-\frac{\frac{15 \, {\left(12 \, B b c^{6} \mathrm{sgn}\left(x\right) - 7 \, A c^{7} \mathrm{sgn}\left(x\right)\right)} \arctan\left(\frac{\sqrt{c x^{2} + b}}{\sqrt{-b}}\right)}{\sqrt{-b} b^{4}} + \frac{180 \, {\left(c x^{2} + b\right)}^{\frac{11}{2}} B b c^{6} \mathrm{sgn}\left(x\right) - 1020 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} B b^{2} c^{6} \mathrm{sgn}\left(x\right) + 2376 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} B b^{3} c^{6} \mathrm{sgn}\left(x\right) - 696 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} B b^{4} c^{6} \mathrm{sgn}\left(x\right) - 1020 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} B b^{5} c^{6} \mathrm{sgn}\left(x\right) + 180 \, \sqrt{c x^{2} + b} B b^{6} c^{6} \mathrm{sgn}\left(x\right) - 105 \, {\left(c x^{2} + b\right)}^{\frac{11}{2}} A c^{7} \mathrm{sgn}\left(x\right) + 595 \, {\left(c x^{2} + b\right)}^{\frac{9}{2}} A b c^{7} \mathrm{sgn}\left(x\right) - 1386 \, {\left(c x^{2} + b\right)}^{\frac{7}{2}} A b^{2} c^{7} \mathrm{sgn}\left(x\right) + 1686 \, {\left(c x^{2} + b\right)}^{\frac{5}{2}} A b^{3} c^{7} \mathrm{sgn}\left(x\right) + 595 \, {\left(c x^{2} + b\right)}^{\frac{3}{2}} A b^{4} c^{7} \mathrm{sgn}\left(x\right) - 105 \, \sqrt{c x^{2} + b} A b^{5} c^{7} \mathrm{sgn}\left(x\right)}{b^{4} c^{6} x^{12}}}{15360 \, c}"," ",0,"-1/15360*(15*(12*B*b*c^6*sgn(x) - 7*A*c^7*sgn(x))*arctan(sqrt(c*x^2 + b)/sqrt(-b))/(sqrt(-b)*b^4) + (180*(c*x^2 + b)^(11/2)*B*b*c^6*sgn(x) - 1020*(c*x^2 + b)^(9/2)*B*b^2*c^6*sgn(x) + 2376*(c*x^2 + b)^(7/2)*B*b^3*c^6*sgn(x) - 696*(c*x^2 + b)^(5/2)*B*b^4*c^6*sgn(x) - 1020*(c*x^2 + b)^(3/2)*B*b^5*c^6*sgn(x) + 180*sqrt(c*x^2 + b)*B*b^6*c^6*sgn(x) - 105*(c*x^2 + b)^(11/2)*A*c^7*sgn(x) + 595*(c*x^2 + b)^(9/2)*A*b*c^7*sgn(x) - 1386*(c*x^2 + b)^(7/2)*A*b^2*c^7*sgn(x) + 1686*(c*x^2 + b)^(5/2)*A*b^3*c^7*sgn(x) + 595*(c*x^2 + b)^(3/2)*A*b^4*c^7*sgn(x) - 105*sqrt(c*x^2 + b)*A*b^5*c^7*sgn(x))/(b^4*c^6*x^12))/c","A",0
130,1,149,0,0.223469," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{384} \, \sqrt{c x^{4} + b x^{2}} {\left(2 \, {\left(4 \, {\left(\frac{6 \, B x^{2}}{c} - \frac{7 \, B b c^{2} - 8 \, A c^{3}}{c^{4}}\right)} x^{2} + \frac{5 \, {\left(7 \, B b^{2} c - 8 \, A b c^{2}\right)}}{c^{4}}\right)} x^{2} - \frac{15 \, {\left(7 \, B b^{3} - 8 \, A b^{2} c\right)}}{c^{4}}\right)} - \frac{5 \, {\left(7 \, B b^{4} - 8 \, A b^{3} c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{256 \, c^{\frac{9}{2}}}"," ",0,"1/384*sqrt(c*x^4 + b*x^2)*(2*(4*(6*B*x^2/c - (7*B*b*c^2 - 8*A*c^3)/c^4)*x^2 + 5*(7*B*b^2*c - 8*A*b*c^2)/c^4)*x^2 - 15*(7*B*b^3 - 8*A*b^2*c)/c^4) - 5/256*(7*B*b^4 - 8*A*b^3*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(9/2)","A",0
131,1,119,0,0.249598," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{48} \, \sqrt{c x^{4} + b x^{2}} {\left(2 \, {\left(\frac{4 \, B x^{2}}{c} - \frac{5 \, B b c - 6 \, A c^{2}}{c^{3}}\right)} x^{2} + \frac{3 \, {\left(5 \, B b^{2} - 6 \, A b c\right)}}{c^{3}}\right)} + \frac{{\left(5 \, B b^{3} - 6 \, A b^{2} c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{32 \, c^{\frac{7}{2}}}"," ",0,"1/48*sqrt(c*x^4 + b*x^2)*(2*(4*B*x^2/c - (5*B*b*c - 6*A*c^2)/c^3)*x^2 + 3*(5*B*b^2 - 6*A*b*c)/c^3) + 1/32*(5*B*b^3 - 6*A*b^2*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(7/2)","A",0
132,1,91,0,0.215565," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{c x^{4} + b x^{2}} {\left(\frac{2 \, B x^{2}}{c} - \frac{3 \, B b - 4 \, A c}{c^{2}}\right)} - \frac{{\left(3 \, B b^{2} - 4 \, A b c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{16 \, c^{\frac{5}{2}}}"," ",0,"1/8*sqrt(c*x^4 + b*x^2)*(2*B*x^2/c - (3*B*b - 4*A*c)/c^2) - 1/16*(3*B*b^2 - 4*A*b*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(5/2)","A",0
133,1,67,0,0.214559," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{4} + b x^{2}} B}{2 \, c} + \frac{{\left(B b - 2 \, A c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{4 \, c^{\frac{3}{2}}}"," ",0,"1/2*sqrt(c*x^4 + b*x^2)*B/c + 1/4*(B*b - 2*A*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(3/2)","A",0
134,1,66,0,0.223520," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","-\frac{B \log\left({\left| 2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} + b \right|}\right)}{2 \, \sqrt{c}} + \frac{A}{\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}}"," ",0,"-1/2*B*log(abs(2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) + b))/sqrt(c) + A/(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))","A",0
135,1,88,0,0.201147," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} B + 3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} A \sqrt{c} + A b}{3 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3}}"," ",0,"1/3*(3*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*B + 3*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*A*sqrt(c) + A*b)/(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3","A",0
136,1,153,0,0.208695," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3} B \sqrt{c} + 5 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} B b + 20 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} A c + 15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} A b \sqrt{c} + 3 \, A b^{2}}{15 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{5}}"," ",0,"1/15*(15*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3*B*sqrt(c) + 5*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*B*b + 20*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*A*c + 15*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*A*b*sqrt(c) + 3*A*b^2)/(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^5","A",0
137,1,219,0,0.307664," ","integrate((B*x^2+A)/x^7/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{140 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{4} B c + 105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3} B b \sqrt{c} + 210 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3} A c^{\frac{3}{2}} + 21 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} B b^{2} + 252 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} A b c + 105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} A b^{2} \sqrt{c} + 15 \, A b^{3}}{105 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{7}}"," ",0,"1/105*(140*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^4*B*c + 105*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3*B*b*sqrt(c) + 210*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3*A*c^(3/2) + 21*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*B*b^2 + 252*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*A*b*c + 105*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*A*b^2*sqrt(c) + 15*A*b^3)/(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^7","A",0
138,1,287,0,0.267941," ","integrate((B*x^2+A)/x^9/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{630 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{5} B c^{\frac{3}{2}} + 756 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{4} B b c + 1008 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{4} A c^{2} + 315 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3} B b^{2} \sqrt{c} + 1680 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{3} A b c^{\frac{3}{2}} + 45 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} B b^{3} + 1080 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{2} A b^{2} c + 315 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} A b^{3} \sqrt{c} + 35 \, A b^{4}}{315 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)}^{9}}"," ",0,"1/315*(630*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^5*B*c^(3/2) + 756*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^4*B*b*c + 1008*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^4*A*c^2 + 315*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3*B*b^2*sqrt(c) + 1680*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^3*A*b*c^(3/2) + 45*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*B*b^3 + 1080*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^2*A*b^2*c + 315*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*A*b^3*sqrt(c) + 35*A*b^4)/(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))^9","A",0
139,0,0,0,0.000000," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} x^{6}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^6/sqrt(c*x^4 + b*x^2), x)","F",0
140,0,0,0,0.000000," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} x^{4}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^4/sqrt(c*x^4 + b*x^2), x)","F",0
141,0,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} x^{2}}{\sqrt{c x^{4} + b x^{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^2/sqrt(c*x^4 + b*x^2), x)","F",0
142,1,60,0,0.325874," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\frac{A \log\left({\left(\sqrt{c + \frac{b}{x^{2}}} - \frac{\sqrt{b}}{x}\right)}^{2}\right)}{2 \, \sqrt{b}} - \frac{2 \, B \sqrt{b}}{{\left(\sqrt{c + \frac{b}{x^{2}}} - \frac{\sqrt{b}}{x}\right)}^{2} - c}"," ",0,"1/2*A*log((sqrt(c + b/x^2) - sqrt(b)/x)^2)/sqrt(b) - 2*B*sqrt(b)/((sqrt(c + b/x^2) - sqrt(b)/x)^2 - c)","A",0
143,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^2/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [64.3995612673,65,-85]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [66.1769613782,93,91]-4*A/8/b/x*sqrt(b*(1/x)^2+c)+2*(-A*c+2*B*b)/4/b/sqrt(b)*ln(abs(sqrt(b*(1/x)^2+c)-sqrt(b)/x))","F(-2)",0
144,-2,0,0,0.000000," ","integrate((B*x^2+A)/x^4/(c*x^4+b*x^2)^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [64.3995612673,65,-85]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [66.1769613782,93,91]2*(-4*b^2*A/32/b^3/x/x-(8*b^2*B-6*b*A*c)/32/b^3)/x*sqrt(b*(1/x)^2+c)+2*(3*A*c^2-4*B*b*c)/16/b^2/sqrt(b)*ln(abs(sqrt(b*(1/x)^2+c)-sqrt(b)/x))","F(-2)",0
145,1,176,0,0.310546," ","integrate(x^9*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{1}{48} \, \sqrt{c x^{4} + b x^{2}} {\left(2 \, x^{2} {\left(\frac{4 \, B x^{2}}{c^{2}} - \frac{11 \, B b c^{10} - 6 \, A c^{11}}{c^{13}}\right)} + \frac{3 \, {\left(19 \, B b^{2} c^{9} - 14 \, A b c^{10}\right)}}{c^{13}}\right)} + \frac{5 \, {\left(7 \, B b^{3} - 6 \, A b^{2} c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{32 \, c^{\frac{9}{2}}} + \frac{B b^{4} - A b^{3} c}{{\left({\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} c + b \sqrt{c}\right)} c^{4}}"," ",0,"1/48*sqrt(c*x^4 + b*x^2)*(2*x^2*(4*B*x^2/c^2 - (11*B*b*c^10 - 6*A*c^11)/c^13) + 3*(19*B*b^2*c^9 - 14*A*b*c^10)/c^13) + 5/32*(7*B*b^3 - 6*A*b^2*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(9/2) + (B*b^4 - A*b^3*c)/(((sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*c + b*sqrt(c))*c^4)","A",0
146,1,147,0,0.279921," ","integrate(x^7*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{c x^{4} + b x^{2}} {\left(\frac{2 \, B x^{2}}{c^{2}} - \frac{7 \, B b c^{5} - 4 \, A c^{6}}{c^{8}}\right)} - \frac{3 \, {\left(5 \, B b^{2} - 4 \, A b c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{16 \, c^{\frac{7}{2}}} - \frac{B b^{3} - A b^{2} c}{{\left({\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} c + b \sqrt{c}\right)} c^{3}}"," ",0,"1/8*sqrt(c*x^4 + b*x^2)*(2*B*x^2/c^2 - (7*B*b*c^5 - 4*A*c^6)/c^8) - 3/16*(5*B*b^2 - 4*A*b*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(7/2) - (B*b^3 - A*b^2*c)/(((sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*c + b*sqrt(c))*c^3)","A",0
147,1,116,0,0.263463," ","integrate(x^5*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{\sqrt{c x^{4} + b x^{2}} B}{2 \, c^{2}} + \frac{{\left(3 \, B b - 2 \, A c\right)} \log\left({\left| -2 \, {\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} \sqrt{c} - b \right|}\right)}{4 \, c^{\frac{5}{2}}} + \frac{B b^{2} - A b c}{{\left({\left(\sqrt{c} x^{2} - \sqrt{c x^{4} + b x^{2}}\right)} c + b \sqrt{c}\right)} c^{2}}"," ",0,"1/2*sqrt(c*x^4 + b*x^2)*B/c^2 + 1/4*(3*B*b - 2*A*c)*log(abs(-2*(sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*sqrt(c) - b))/c^(5/2) + (B*b^2 - A*b*c)/(((sqrt(c)*x^2 - sqrt(c*x^4 + b*x^2))*c + b*sqrt(c))*c^2)","A",0
148,-2,0,0,0.000000," ","integrate(x^3*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to divide, perhaps due to rounding error%%%{%%%{-2,[1]%%%},[2,2]%%%}+%%%{%%{[4,0]:[1,0,%%%{-1,[1]%%%}]%%},[1,3]%%%}+%%%{-2,[0,4]%%%} / %%%{%%%{1,[2]%%%},[2,0]%%%}+%%%{%%{[%%%{-2,[1]%%%},0]:[1,0,%%%{-1,[1]%%%}]%%},[1,1]%%%}+%%%{%%%{1,[1]%%%},[0,2]%%%} Error: Bad Argument Value","F(-2)",0
149,1,36,0,0.211023," ","integrate(x*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\frac{\frac{{\left(B b - 2 \, A c\right)} x^{2}}{b^{2}} - \frac{A}{b}}{\sqrt{c x^{4} + b x^{2}}}"," ",0,"((B*b - 2*A*c)*x^2/b^2 - A/b)/sqrt(c*x^4 + b*x^2)","A",0
150,0,0,0,0.000000," ","integrate((B*x^2+A)/x/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x), x)","F",0
151,0,0,0,0.000000," ","integrate((B*x^2+A)/x^3/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{3}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x^3), x)","F",0
152,0,0,0,0.000000," ","integrate((B*x^2+A)/x^5/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{B x^{2} + A}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}} x^{5}}\,{d x}"," ",0,"integrate((B*x^2 + A)/((c*x^4 + b*x^2)^(3/2)*x^5), x)","F",0
153,0,0,0,0.000000," ","integrate(x^8*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} x^{8}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^8/(c*x^4 + b*x^2)^(3/2), x)","F",0
154,0,0,0,0.000000," ","integrate(x^6*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B x^{2} + A\right)} x^{6}}{{\left(c x^{4} + b x^{2}\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*x^2 + A)*x^6/(c*x^4 + b*x^2)^(3/2), x)","F",0
155,1,60,0,0.292285," ","integrate(x^4*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","-\frac{2 \, B \sqrt{b}}{{\left({\left(\sqrt{c + \frac{b}{x^{2}}} - \frac{\sqrt{b}}{x}\right)}^{2} - c\right)} c} + \frac{B b - A c}{\sqrt{c + \frac{b}{x^{2}}} c^{2} x}"," ",0,"-2*B*sqrt(b)/(((sqrt(c + b/x^2) - sqrt(b)/x)^2 - c)*c) + (B*b - A*c)/(sqrt(c + b/x^2)*c^2*x)","A",0
156,-2,0,0,0.000000," ","integrate(x^2*(B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [64.3995612673,65,-85]Warning, choosing root of [1,0,%%%{-4,[1,0,0]%%%}+%%%{-2,[0,1,2]%%%},0,%%%{1,[0,2,4]%%%}] at parameters values [66.1769613782,93,91]-2*(2*b*B-2*A*c)/4/b/c/x*sqrt(b*(1/x)^2+c)/(b*(1/x)^2+c)+2*A/2/b/sqrt(b)*ln(abs(sqrt(b*(1/x)^2+c)-sqrt(b)/x))","F(-2)",0
157,0,0,0,0.000000," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*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=""giac"")","\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
159,1,29,0,0.146846," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2}{21} \, B c x^{\frac{21}{2}} + \frac{2}{17} \, B b x^{\frac{17}{2}} + \frac{2}{17} \, A c 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*x^(17/2) + 2/17*A*c*x^(17/2) + 2/13*A*b*x^(13/2)","A",0
160,1,29,0,0.148495," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2}{19} \, B c x^{\frac{19}{2}} + \frac{2}{15} \, B b x^{\frac{15}{2}} + \frac{2}{15} \, A c 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*x^(15/2) + 2/15*A*c*x^(15/2) + 2/11*A*b*x^(11/2)","A",0
161,1,29,0,0.151476," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2}{17} \, B c x^{\frac{17}{2}} + \frac{2}{13} \, B b x^{\frac{13}{2}} + \frac{2}{13} \, A c 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*x^(13/2) + 2/13*A*c*x^(13/2) + 2/9*A*b*x^(9/2)","A",0
162,1,29,0,0.160976," ","integrate((B*x^2+A)*(c*x^4+b*x^2)*x^(1/2),x, algorithm=""giac"")","\frac{2}{15} \, B c x^{\frac{15}{2}} + \frac{2}{11} \, B b x^{\frac{11}{2}} + \frac{2}{11} \, A c 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*x^(11/2) + 2/11*A*c*x^(11/2) + 2/7*A*b*x^(7/2)","A",0
163,1,29,0,0.209167," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(1/2),x, algorithm=""giac"")","\frac{2}{13} \, B c x^{\frac{13}{2}} + \frac{2}{9} \, B b x^{\frac{9}{2}} + \frac{2}{9} \, A c 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*x^(9/2) + 2/9*A*c*x^(9/2) + 2/5*A*b*x^(5/2)","A",0
164,1,29,0,0.161512," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(3/2),x, algorithm=""giac"")","\frac{2}{11} \, B c x^{\frac{11}{2}} + \frac{2}{7} \, B b x^{\frac{7}{2}} + \frac{2}{7} \, A c 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*x^(7/2) + 2/7*A*c*x^(7/2) + 2/3*A*b*x^(3/2)","A",0
165,1,29,0,0.182963," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(5/2),x, algorithm=""giac"")","\frac{2}{9} \, B c x^{\frac{9}{2}} + \frac{2}{5} \, B b x^{\frac{5}{2}} + \frac{2}{5} \, A c x^{\frac{5}{2}} + 2 \, A b \sqrt{x}"," ",0,"2/9*B*c*x^(9/2) + 2/5*B*b*x^(5/2) + 2/5*A*c*x^(5/2) + 2*A*b*sqrt(x)","A",0
166,1,29,0,0.186719," ","integrate((B*x^2+A)*(c*x^4+b*x^2)/x^(7/2),x, algorithm=""giac"")","\frac{2}{7} \, B c x^{\frac{7}{2}} + \frac{2}{3} \, B b x^{\frac{3}{2}} + \frac{2}{3} \, A c x^{\frac{3}{2}} - \frac{2 \, A b}{\sqrt{x}}"," ",0,"2/7*B*c*x^(7/2) + 2/3*B*b*x^(3/2) + 2/3*A*c*x^(3/2) - 2*A*b/sqrt(x)","A",0
167,1,53,0,0.163724," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{2}{29} \, B c^{2} x^{\frac{29}{2}} + \frac{4}{25} \, B b c x^{\frac{25}{2}} + \frac{2}{25} \, A c^{2} x^{\frac{25}{2}} + \frac{2}{21} \, B b^{2} x^{\frac{21}{2}} + \frac{4}{21} \, A b c x^{\frac{21}{2}} + \frac{2}{17} \, A b^{2} x^{\frac{17}{2}}"," ",0,"2/29*B*c^2*x^(29/2) + 4/25*B*b*c*x^(25/2) + 2/25*A*c^2*x^(25/2) + 2/21*B*b^2*x^(21/2) + 4/21*A*b*c*x^(21/2) + 2/17*A*b^2*x^(17/2)","A",0
168,1,53,0,0.151538," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{2}{27} \, B c^{2} x^{\frac{27}{2}} + \frac{4}{23} \, B b c x^{\frac{23}{2}} + \frac{2}{23} \, A c^{2} x^{\frac{23}{2}} + \frac{2}{19} \, B b^{2} x^{\frac{19}{2}} + \frac{4}{19} \, A b c x^{\frac{19}{2}} + \frac{2}{15} \, A b^{2} x^{\frac{15}{2}}"," ",0,"2/27*B*c^2*x^(27/2) + 4/23*B*b*c*x^(23/2) + 2/23*A*c^2*x^(23/2) + 2/19*B*b^2*x^(19/2) + 4/19*A*b*c*x^(19/2) + 2/15*A*b^2*x^(15/2)","A",0
169,1,53,0,0.172361," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{2}{25} \, B c^{2} x^{\frac{25}{2}} + \frac{4}{21} \, B b c x^{\frac{21}{2}} + \frac{2}{21} \, A c^{2} x^{\frac{21}{2}} + \frac{2}{17} \, B b^{2} x^{\frac{17}{2}} + \frac{4}{17} \, A b c x^{\frac{17}{2}} + \frac{2}{13} \, A b^{2} x^{\frac{13}{2}}"," ",0,"2/25*B*c^2*x^(25/2) + 4/21*B*b*c*x^(21/2) + 2/21*A*c^2*x^(21/2) + 2/17*B*b^2*x^(17/2) + 4/17*A*b*c*x^(17/2) + 2/13*A*b^2*x^(13/2)","A",0
170,1,53,0,0.177582," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2*x^(1/2),x, algorithm=""giac"")","\frac{2}{23} \, B c^{2} x^{\frac{23}{2}} + \frac{4}{19} \, B b c x^{\frac{19}{2}} + \frac{2}{19} \, A c^{2} x^{\frac{19}{2}} + \frac{2}{15} \, B b^{2} x^{\frac{15}{2}} + \frac{4}{15} \, A b c x^{\frac{15}{2}} + \frac{2}{11} \, A b^{2} x^{\frac{11}{2}}"," ",0,"2/23*B*c^2*x^(23/2) + 4/19*B*b*c*x^(19/2) + 2/19*A*c^2*x^(19/2) + 2/15*B*b^2*x^(15/2) + 4/15*A*b*c*x^(15/2) + 2/11*A*b^2*x^(11/2)","A",0
171,1,53,0,0.155149," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(1/2),x, algorithm=""giac"")","\frac{2}{21} \, B c^{2} x^{\frac{21}{2}} + \frac{4}{17} \, B b c x^{\frac{17}{2}} + \frac{2}{17} \, A c^{2} x^{\frac{17}{2}} + \frac{2}{13} \, B b^{2} x^{\frac{13}{2}} + \frac{4}{13} \, A b c x^{\frac{13}{2}} + \frac{2}{9} \, A b^{2} x^{\frac{9}{2}}"," ",0,"2/21*B*c^2*x^(21/2) + 4/17*B*b*c*x^(17/2) + 2/17*A*c^2*x^(17/2) + 2/13*B*b^2*x^(13/2) + 4/13*A*b*c*x^(13/2) + 2/9*A*b^2*x^(9/2)","A",0
172,1,53,0,0.208092," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(3/2),x, algorithm=""giac"")","\frac{2}{19} \, B c^{2} x^{\frac{19}{2}} + \frac{4}{15} \, B b c x^{\frac{15}{2}} + \frac{2}{15} \, A c^{2} x^{\frac{15}{2}} + \frac{2}{11} \, B b^{2} x^{\frac{11}{2}} + \frac{4}{11} \, A b c x^{\frac{11}{2}} + \frac{2}{7} \, A b^{2} x^{\frac{7}{2}}"," ",0,"2/19*B*c^2*x^(19/2) + 4/15*B*b*c*x^(15/2) + 2/15*A*c^2*x^(15/2) + 2/11*B*b^2*x^(11/2) + 4/11*A*b*c*x^(11/2) + 2/7*A*b^2*x^(7/2)","A",0
173,1,53,0,0.151162," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(5/2),x, algorithm=""giac"")","\frac{2}{17} \, B c^{2} x^{\frac{17}{2}} + \frac{4}{13} \, B b c x^{\frac{13}{2}} + \frac{2}{13} \, A c^{2} x^{\frac{13}{2}} + \frac{2}{9} \, B b^{2} x^{\frac{9}{2}} + \frac{4}{9} \, A b c x^{\frac{9}{2}} + \frac{2}{5} \, A b^{2} x^{\frac{5}{2}}"," ",0,"2/17*B*c^2*x^(17/2) + 4/13*B*b*c*x^(13/2) + 2/13*A*c^2*x^(13/2) + 2/9*B*b^2*x^(9/2) + 4/9*A*b*c*x^(9/2) + 2/5*A*b^2*x^(5/2)","A",0
174,1,53,0,0.172948," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^2/x^(7/2),x, algorithm=""giac"")","\frac{2}{15} \, B c^{2} x^{\frac{15}{2}} + \frac{4}{11} \, B b c x^{\frac{11}{2}} + \frac{2}{11} \, A c^{2} x^{\frac{11}{2}} + \frac{2}{7} \, B b^{2} x^{\frac{7}{2}} + \frac{4}{7} \, A b c x^{\frac{7}{2}} + \frac{2}{3} \, A b^{2} x^{\frac{3}{2}}"," ",0,"2/15*B*c^2*x^(15/2) + 4/11*B*b*c*x^(11/2) + 2/11*A*c^2*x^(11/2) + 2/7*B*b^2*x^(7/2) + 4/7*A*b*c*x^(7/2) + 2/3*A*b^2*x^(3/2)","A",0
175,1,77,0,0.155026," ","integrate(x^(7/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{2}{37} \, B c^{3} x^{\frac{37}{2}} + \frac{2}{11} \, B b c^{2} x^{\frac{33}{2}} + \frac{2}{33} \, A c^{3} x^{\frac{33}{2}} + \frac{6}{29} \, B b^{2} c x^{\frac{29}{2}} + \frac{6}{29} \, A b c^{2} x^{\frac{29}{2}} + \frac{2}{25} \, B b^{3} x^{\frac{25}{2}} + \frac{6}{25} \, A b^{2} c x^{\frac{25}{2}} + \frac{2}{21} \, A b^{3} x^{\frac{21}{2}}"," ",0,"2/37*B*c^3*x^(37/2) + 2/11*B*b*c^2*x^(33/2) + 2/33*A*c^3*x^(33/2) + 6/29*B*b^2*c*x^(29/2) + 6/29*A*b*c^2*x^(29/2) + 2/25*B*b^3*x^(25/2) + 6/25*A*b^2*c*x^(25/2) + 2/21*A*b^3*x^(21/2)","A",0
176,1,77,0,0.169860," ","integrate(x^(5/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{2}{35} \, B c^{3} x^{\frac{35}{2}} + \frac{6}{31} \, B b c^{2} x^{\frac{31}{2}} + \frac{2}{31} \, A c^{3} x^{\frac{31}{2}} + \frac{2}{9} \, B b^{2} c x^{\frac{27}{2}} + \frac{2}{9} \, A b c^{2} x^{\frac{27}{2}} + \frac{2}{23} \, B b^{3} x^{\frac{23}{2}} + \frac{6}{23} \, A b^{2} c x^{\frac{23}{2}} + \frac{2}{19} \, A b^{3} x^{\frac{19}{2}}"," ",0,"2/35*B*c^3*x^(35/2) + 6/31*B*b*c^2*x^(31/2) + 2/31*A*c^3*x^(31/2) + 2/9*B*b^2*c*x^(27/2) + 2/9*A*b*c^2*x^(27/2) + 2/23*B*b^3*x^(23/2) + 6/23*A*b^2*c*x^(23/2) + 2/19*A*b^3*x^(19/2)","A",0
177,1,77,0,0.153442," ","integrate(x^(3/2)*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{2}{33} \, B c^{3} x^{\frac{33}{2}} + \frac{6}{29} \, B b c^{2} x^{\frac{29}{2}} + \frac{2}{29} \, A c^{3} x^{\frac{29}{2}} + \frac{6}{25} \, B b^{2} c x^{\frac{25}{2}} + \frac{6}{25} \, A b c^{2} x^{\frac{25}{2}} + \frac{2}{21} \, B b^{3} x^{\frac{21}{2}} + \frac{2}{7} \, A b^{2} c x^{\frac{21}{2}} + \frac{2}{17} \, A b^{3} x^{\frac{17}{2}}"," ",0,"2/33*B*c^3*x^(33/2) + 6/29*B*b*c^2*x^(29/2) + 2/29*A*c^3*x^(29/2) + 6/25*B*b^2*c*x^(25/2) + 6/25*A*b*c^2*x^(25/2) + 2/21*B*b^3*x^(21/2) + 2/7*A*b^2*c*x^(21/2) + 2/17*A*b^3*x^(17/2)","A",0
178,1,77,0,0.171124," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3*x^(1/2),x, algorithm=""giac"")","\frac{2}{31} \, B c^{3} x^{\frac{31}{2}} + \frac{2}{9} \, B b c^{2} x^{\frac{27}{2}} + \frac{2}{27} \, A c^{3} x^{\frac{27}{2}} + \frac{6}{23} \, B b^{2} c x^{\frac{23}{2}} + \frac{6}{23} \, A b c^{2} x^{\frac{23}{2}} + \frac{2}{19} \, B b^{3} x^{\frac{19}{2}} + \frac{6}{19} \, A b^{2} c x^{\frac{19}{2}} + \frac{2}{15} \, A b^{3} x^{\frac{15}{2}}"," ",0,"2/31*B*c^3*x^(31/2) + 2/9*B*b*c^2*x^(27/2) + 2/27*A*c^3*x^(27/2) + 6/23*B*b^2*c*x^(23/2) + 6/23*A*b*c^2*x^(23/2) + 2/19*B*b^3*x^(19/2) + 6/19*A*b^2*c*x^(19/2) + 2/15*A*b^3*x^(15/2)","A",0
179,1,77,0,0.150535," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(1/2),x, algorithm=""giac"")","\frac{2}{29} \, B c^{3} x^{\frac{29}{2}} + \frac{6}{25} \, B b c^{2} x^{\frac{25}{2}} + \frac{2}{25} \, A c^{3} x^{\frac{25}{2}} + \frac{2}{7} \, B b^{2} c x^{\frac{21}{2}} + \frac{2}{7} \, A b c^{2} x^{\frac{21}{2}} + \frac{2}{17} \, B b^{3} x^{\frac{17}{2}} + \frac{6}{17} \, A b^{2} c x^{\frac{17}{2}} + \frac{2}{13} \, A b^{3} x^{\frac{13}{2}}"," ",0,"2/29*B*c^3*x^(29/2) + 6/25*B*b*c^2*x^(25/2) + 2/25*A*c^3*x^(25/2) + 2/7*B*b^2*c*x^(21/2) + 2/7*A*b*c^2*x^(21/2) + 2/17*B*b^3*x^(17/2) + 6/17*A*b^2*c*x^(17/2) + 2/13*A*b^3*x^(13/2)","A",0
180,1,77,0,0.155511," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(3/2),x, algorithm=""giac"")","\frac{2}{27} \, B c^{3} x^{\frac{27}{2}} + \frac{6}{23} \, B b c^{2} x^{\frac{23}{2}} + \frac{2}{23} \, A c^{3} x^{\frac{23}{2}} + \frac{6}{19} \, B b^{2} c x^{\frac{19}{2}} + \frac{6}{19} \, A b c^{2} x^{\frac{19}{2}} + \frac{2}{15} \, B b^{3} x^{\frac{15}{2}} + \frac{2}{5} \, A b^{2} c x^{\frac{15}{2}} + \frac{2}{11} \, A b^{3} x^{\frac{11}{2}}"," ",0,"2/27*B*c^3*x^(27/2) + 6/23*B*b*c^2*x^(23/2) + 2/23*A*c^3*x^(23/2) + 6/19*B*b^2*c*x^(19/2) + 6/19*A*b*c^2*x^(19/2) + 2/15*B*b^3*x^(15/2) + 2/5*A*b^2*c*x^(15/2) + 2/11*A*b^3*x^(11/2)","A",0
181,1,77,0,0.163468," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(5/2),x, algorithm=""giac"")","\frac{2}{25} \, B c^{3} x^{\frac{25}{2}} + \frac{2}{7} \, B b c^{2} x^{\frac{21}{2}} + \frac{2}{21} \, A c^{3} x^{\frac{21}{2}} + \frac{6}{17} \, B b^{2} c x^{\frac{17}{2}} + \frac{6}{17} \, A b c^{2} x^{\frac{17}{2}} + \frac{2}{13} \, B b^{3} x^{\frac{13}{2}} + \frac{6}{13} \, A b^{2} c x^{\frac{13}{2}} + \frac{2}{9} \, A b^{3} x^{\frac{9}{2}}"," ",0,"2/25*B*c^3*x^(25/2) + 2/7*B*b*c^2*x^(21/2) + 2/21*A*c^3*x^(21/2) + 6/17*B*b^2*c*x^(17/2) + 6/17*A*b*c^2*x^(17/2) + 2/13*B*b^3*x^(13/2) + 6/13*A*b^2*c*x^(13/2) + 2/9*A*b^3*x^(9/2)","A",0
182,1,77,0,0.154039," ","integrate((B*x^2+A)*(c*x^4+b*x^2)^3/x^(7/2),x, algorithm=""giac"")","\frac{2}{23} \, B c^{3} x^{\frac{23}{2}} + \frac{6}{19} \, B b c^{2} x^{\frac{19}{2}} + \frac{2}{19} \, A c^{3} x^{\frac{19}{2}} + \frac{2}{5} \, B b^{2} c x^{\frac{15}{2}} + \frac{2}{5} \, A b c^{2} x^{\frac{15}{2}} + \frac{2}{11} \, B b^{3} x^{\frac{11}{2}} + \frac{6}{11} \, A b^{2} c x^{\frac{11}{2}} + \frac{2}{7} \, A b^{3} x^{\frac{7}{2}}"," ",0,"2/23*B*c^3*x^(23/2) + 6/19*B*b*c^2*x^(19/2) + 2/19*A*c^3*x^(19/2) + 2/5*B*b^2*c*x^(15/2) + 2/5*A*b*c^2*x^(15/2) + 2/11*B*b^3*x^(11/2) + 6/11*A*b^2*c*x^(11/2) + 2/7*A*b^3*x^(7/2)","A",0
183,1,298,0,0.243879," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{3}{4}} A b c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{6}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{3}{4}} A b c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{6}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{3}{4}} A b c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{6}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{3}{4}} A b c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{6}} + \frac{2 \, {\left(21 \, B c^{10} x^{\frac{11}{2}} - 33 \, B b c^{9} x^{\frac{7}{2}} + 33 \, A c^{10} x^{\frac{7}{2}} + 77 \, B b^{2} c^{8} x^{\frac{3}{2}} - 77 \, A b c^{9} x^{\frac{3}{2}}\right)}}{231 \, c^{11}}"," ",0,"-1/2*sqrt(2)*((b*c^3)^(3/4)*B*b^2 - (b*c^3)^(3/4)*A*b*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^6 - 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b^2 - (b*c^3)^(3/4)*A*b*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^6 + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b^2 - (b*c^3)^(3/4)*A*b*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^6 - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b^2 - (b*c^3)^(3/4)*A*b*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^6 + 2/231*(21*B*c^10*x^(11/2) - 33*B*b*c^9*x^(7/2) + 33*A*c^10*x^(7/2) + 77*B*b^2*c^8*x^(3/2) - 77*A*b*c^9*x^(3/2))/c^11","A",0
184,1,298,0,0.200197," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{4}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{4}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{4}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{4}} + \frac{2 \, {\left(5 \, B c^{8} x^{\frac{9}{2}} - 9 \, B b c^{7} x^{\frac{5}{2}} + 9 \, A c^{8} x^{\frac{5}{2}} + 45 \, B b^{2} c^{6} \sqrt{x} - 45 \, A b c^{7} \sqrt{x}\right)}}{45 \, c^{9}}"," ",0,"-1/2*sqrt(2)*((b*c^3)^(1/4)*B*b^2 - (b*c^3)^(1/4)*A*b*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^4 - 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b^2 - (b*c^3)^(1/4)*A*b*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^4 - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b^2 - (b*c^3)^(1/4)*A*b*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^4 + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b^2 - (b*c^3)^(1/4)*A*b*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^4 + 2/45*(5*B*c^8*x^(9/2) - 9*B*b*c^7*x^(5/2) + 9*A*c^8*x^(5/2) + 45*B*b^2*c^6*sqrt(x) - 45*A*b*c^7*sqrt(x))/c^9","A",0
185,1,264,0,0.209353," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{5}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{5}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{5}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{5}} + \frac{2 \, {\left(3 \, B c^{6} x^{\frac{7}{2}} - 7 \, B b c^{5} x^{\frac{3}{2}} + 7 \, A c^{6} x^{\frac{3}{2}}\right)}}{21 \, c^{7}}"," ",0,"1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^5 + 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^5 - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 + 2/21*(3*B*c^6*x^(7/2) - 7*B*b*c^5*x^(3/2) + 7*A*c^6*x^(3/2))/c^7","A",0
186,1,263,0,0.196450," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{3}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, c^{3}} + \frac{2 \, {\left(B c^{4} x^{\frac{5}{2}} - 5 \, B b c^{3} \sqrt{x} + 5 \, A c^{4} \sqrt{x}\right)}}{5 \, c^{5}}"," ",0,"1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^3 + 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^3 + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^3 - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^3 + 2/5*(B*c^4*x^(5/2) - 5*B*b*c^3*sqrt(x) + 5*A*c^4*sqrt(x))/c^5","A",0
187,1,251,0,0.227378," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, c} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b c^{4}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b c^{4}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b c^{4}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b c^{4}}"," ",0,"2/3*B*x^(3/2)/c - 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^4) - 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^4) + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^4) - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^4)","A",0
188,1,251,0,0.182899," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{c} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b c^{2}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b c^{2}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b c^{2}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b c^{2}}"," ",0,"2*B*sqrt(x)/c - 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^2) - 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^2) - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^2) + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^2)","A",0
189,1,251,0,0.194166," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{2 \, A}{b \sqrt{x}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2} c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2} c^{3}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{2} c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{2} c^{3}}"," ",0,"-2*A/(b*sqrt(x)) + 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^3) + 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^3) - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^3) + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^3)","A",0
190,1,251,0,0.227855," ","integrate((B*x^2+A)/(c*x^4+b*x^2)/x^(1/2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2} c} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{2} c} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{2} c} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{2} c} - \frac{2 \, A}{3 \, b x^{\frac{3}{2}}}"," ",0,"1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c) + 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c) + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c) - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c) - 2/3*A/(b*x^(3/2))","A",0
191,1,268,0,0.241455," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3} c^{2}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3} c^{2}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{3} c^{2}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{3} c^{2}} - \frac{2 \, {\left(5 \, B b x^{2} - 5 \, A c x^{2} + A b\right)}}{5 \, b^{2} x^{\frac{5}{2}}}"," ",0,"-1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^2) - 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^2) + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^2) - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^2) - 2/5*(5*B*b*x^2 - 5*A*c*x^2 + A*b)/(b^2*x^(5/2))","A",0
192,1,257,0,0.186759," ","integrate((B*x^2+A)/x^(5/2)/(c*x^4+b*x^2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{3}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{3}} - \frac{2 \, {\left(7 \, B b x^{2} - 7 \, A c x^{2} + 3 \, A b\right)}}{21 \, b^{2} x^{\frac{7}{2}}}"," ",0,"-1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/b^3 - 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/b^3 - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^3 + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^3 - 2/21*(7*B*b*x^2 - 7*A*c*x^2 + 3*A*b)/(b^2*x^(7/2))","A",0
193,1,291,0,0.198528," ","integrate((B*x^2+A)/x^(7/2)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4} c} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4} c} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{4} c} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{4} c} + \frac{2 \, {\left(45 \, B b c x^{4} - 45 \, A c^{2} x^{4} - 9 \, B b^{2} x^{2} + 9 \, A b c x^{2} - 5 \, A b^{2}\right)}}{45 \, b^{3} x^{\frac{9}{2}}}"," ",0,"1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^4*c) + 1/2*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^4*c) - 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c) + 1/4*sqrt(2)*((b*c^3)^(3/4)*B*b - (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c) + 2/45*(45*B*b*c*x^4 - 45*A*c^2*x^4 - 9*B*b^2*x^2 + 9*A*b*c*x^2 - 5*A*b^2)/(b^3*x^(9/2))","A",0
194,1,291,0,0.194578," ","integrate((B*x^2+A)/x^(9/2)/(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b c - \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b c - \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{2 \, b^{4}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b c - \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{4}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b c - \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{4 \, b^{4}} + \frac{2 \, {\left(77 \, B b c x^{4} - 77 \, A c^{2} x^{4} - 33 \, B b^{2} x^{2} + 33 \, A b c x^{2} - 21 \, A b^{2}\right)}}{231 \, b^{3} x^{\frac{11}{2}}}"," ",0,"1/2*sqrt(2)*((b*c^3)^(1/4)*B*b*c - (b*c^3)^(1/4)*A*c^2)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/b^4 + 1/2*sqrt(2)*((b*c^3)^(1/4)*B*b*c - (b*c^3)^(1/4)*A*c^2)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/b^4 + 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b*c - (b*c^3)^(1/4)*A*c^2)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^4 - 1/4*sqrt(2)*((b*c^3)^(1/4)*B*b*c - (b*c^3)^(1/4)*A*c^2)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^4 + 2/231*(77*B*b*c*x^4 - 77*A*c^2*x^4 - 33*B*b^2*x^2 + 33*A*b*c*x^2 - 21*A*b^2)/(b^3*x^(11/2))","A",0
195,1,335,0,0.220000," ","integrate(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - 9 \, \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{5}} - \frac{\sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - 9 \, \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{5}} - \frac{\sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - 9 \, \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{5}} + \frac{\sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b^{2} - 9 \, \left(b c^{3}\right)^{\frac{1}{4}} A b c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{5}} + \frac{B b^{3} \sqrt{x} - A b^{2} c \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} c^{4}} + \frac{2 \, {\left(5 \, B c^{16} x^{\frac{9}{2}} - 18 \, B b c^{15} x^{\frac{5}{2}} + 9 \, A c^{16} x^{\frac{5}{2}} + 135 \, B b^{2} c^{14} \sqrt{x} - 90 \, A b c^{15} \sqrt{x}\right)}}{45 \, c^{18}}"," ",0,"-1/8*sqrt(2)*(13*(b*c^3)^(1/4)*B*b^2 - 9*(b*c^3)^(1/4)*A*b*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^5 - 1/8*sqrt(2)*(13*(b*c^3)^(1/4)*B*b^2 - 9*(b*c^3)^(1/4)*A*b*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^5 - 1/16*sqrt(2)*(13*(b*c^3)^(1/4)*B*b^2 - 9*(b*c^3)^(1/4)*A*b*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 + 1/16*sqrt(2)*(13*(b*c^3)^(1/4)*B*b^2 - 9*(b*c^3)^(1/4)*A*b*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 + 1/2*(B*b^3*sqrt(x) - A*b^2*c*sqrt(x))/((c*x^2 + b)*c^4) + 2/45*(5*B*c^16*x^(9/2) - 18*B*b*c^15*x^(5/2) + 9*A*c^16*x^(5/2) + 135*B*b^2*c^14*sqrt(x) - 90*A*b*c^15*sqrt(x))/c^18","A",0
196,1,299,0,0.269705," ","integrate(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{B b^{2} x^{\frac{3}{2}} - A b c x^{\frac{3}{2}}}{2 \, {\left(c x^{2} + b\right)} c^{3}} + \frac{\sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{6}} + \frac{\sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{6}} - \frac{\sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{6}} + \frac{\sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{6}} + \frac{2 \, {\left(3 \, B c^{12} x^{\frac{7}{2}} - 14 \, B b c^{11} x^{\frac{3}{2}} + 7 \, A c^{12} x^{\frac{3}{2}}\right)}}{21 \, c^{14}}"," ",0,"-1/2*(B*b^2*x^(3/2) - A*b*c*x^(3/2))/((c*x^2 + b)*c^3) + 1/8*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 7*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^6 + 1/8*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 7*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^6 - 1/16*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 7*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^6 + 1/16*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 7*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^6 + 2/21*(3*B*c^12*x^(7/2) - 14*B*b*c^11*x^(3/2) + 7*A*c^12*x^(3/2))/c^14","A",0
197,1,298,0,0.192070," ","integrate(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{4}} + \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, c^{4}} + \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{4}} - \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, c^{4}} - \frac{B b^{2} \sqrt{x} - A b c \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} c^{3}} + \frac{2 \, {\left(B c^{8} x^{\frac{5}{2}} - 10 \, B b c^{7} \sqrt{x} + 5 \, A c^{8} \sqrt{x}\right)}}{5 \, c^{10}}"," ",0,"1/8*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^4 + 1/8*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^4 + 1/16*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^4 - 1/16*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^4 - 1/2*(B*b^2*sqrt(x) - A*b*c*sqrt(x))/((c*x^2 + b)*c^3) + 2/5*(B*c^8*x^(5/2) - 10*B*b*c^7*sqrt(x) + 5*A*c^8*sqrt(x))/c^10","A",0
198,1,283,0,0.208708," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, c^{2}} + \frac{B b x^{\frac{3}{2}} - A c x^{\frac{3}{2}}}{2 \, {\left(c x^{2} + b\right)} c^{2}} - \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b c^{5}} - \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b c^{5}} + \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b c^{5}} - \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b c^{5}}"," ",0,"2/3*B*x^(3/2)/c^2 + 1/2*(B*b*x^(3/2) - A*c*x^(3/2))/((c*x^2 + b)*c^2) - 1/8*sqrt(2)*(7*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^5) - 1/8*sqrt(2)*(7*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^5) + 1/16*sqrt(2)*(7*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^5) - 1/16*sqrt(2)*(7*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^5)","A",0
199,1,283,0,0.194664," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{c^{2}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b c^{3}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b c^{3}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b c^{3}} + \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b c^{3}} + \frac{B b \sqrt{x} - A c \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} c^{2}}"," ",0,"2*B*sqrt(x)/c^2 - 1/8*sqrt(2)*(5*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^3) - 1/8*sqrt(2)*(5*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^3) - 1/16*sqrt(2)*(5*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^3) + 1/16*sqrt(2)*(5*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^3) + 1/2*(B*b*sqrt(x) - A*c*sqrt(x))/((c*x^2 + b)*c^2)","A",0
200,1,273,0,0.209407," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{B b x^{\frac{3}{2}} - A c x^{\frac{3}{2}}}{2 \, {\left(c x^{2} + b\right)} b c} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{2} c^{4}} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{2} c^{4}} - \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{2} c^{4}} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{2} c^{4}}"," ",0,"-1/2*(B*b*x^(3/2) - A*c*x^(3/2))/((c*x^2 + b)*b*c) + 1/8*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^4) + 1/8*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^4) - 1/16*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^4) + 1/16*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^4)","A",0
201,1,273,0,0.206589," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{2} c^{2}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{2} c^{2}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{2} c^{2}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{2} c^{2}} - \frac{B b \sqrt{x} - A c \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} b c}"," ",0,"1/8*sqrt(2)*((b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^2) + 1/8*sqrt(2)*((b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^2) + 1/16*sqrt(2)*((b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^2) - 1/16*sqrt(2)*((b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^2) - 1/2*(B*b*sqrt(x) - A*c*sqrt(x))/((c*x^2 + b)*b*c)","A",0
202,1,278,0,0.205003," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{B b x^{2} - 5 \, A c x^{2} - 4 \, A b}{2 \, {\left(c x^{\frac{5}{2}} + b \sqrt{x}\right)} b^{2}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3} c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3} c^{3}} - \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{3} c^{3}} + \frac{\sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{3} c^{3}}"," ",0,"1/2*(B*b*x^2 - 5*A*c*x^2 - 4*A*b)/((c*x^(5/2) + b*sqrt(x))*b^2) + 1/8*sqrt(2)*((b*c^3)^(3/4)*B*b - 5*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^3) + 1/8*sqrt(2)*((b*c^3)^(3/4)*B*b - 5*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^3) - 1/16*sqrt(2)*((b*c^3)^(3/4)*B*b - 5*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^3) + 1/16*sqrt(2)*((b*c^3)^(3/4)*B*b - 5*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^3)","A",0
203,1,283,0,0.194830," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3} c} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{3} c} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{3} c} - \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{3} c} + \frac{B b \sqrt{x} - A c \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} b^{2}} - \frac{2 \, A}{3 \, b^{2} x^{\frac{3}{2}}}"," ",0,"1/8*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 7*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^3*c) + 1/8*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 7*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^3*c) + 1/16*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 7*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c) - 1/16*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 7*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c) + 1/2*(B*b*sqrt(x) - A*c*sqrt(x))/((c*x^2 + b)*b^2) - 2/3*A/(b^2*x^(3/2))","A",0
204,1,303,0,0.208635," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","-\frac{B b c x^{\frac{3}{2}} - A c^{2} x^{\frac{3}{2}}}{2 \, {\left(c x^{2} + b\right)} b^{3}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{4} c^{2}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{4} c^{2}} + \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{4} c^{2}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{4} c^{2}} - \frac{2 \, {\left(5 \, B b x^{2} - 10 \, A c x^{2} + A b\right)}}{5 \, b^{3} x^{\frac{5}{2}}}"," ",0,"-1/2*(B*b*c*x^(3/2) - A*c^2*x^(3/2))/((c*x^2 + b)*b^3) - 1/8*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^4*c^2) - 1/8*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^4*c^2) + 1/16*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c^2) - 1/16*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c^2) - 2/5*(5*B*b*x^2 - 10*A*c*x^2 + A*b)/(b^3*x^(5/2))","A",0
205,1,292,0,0.245761," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^2/x^(1/2),x, algorithm=""giac"")","-\frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{4}} - \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{4}} - \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{4}} + \frac{\sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{4}} - \frac{B b c \sqrt{x} - A c^{2} \sqrt{x}}{2 \, {\left(c x^{2} + b\right)} b^{3}} - \frac{2 \, {\left(7 \, B b x^{2} - 14 \, A c x^{2} + 3 \, A b\right)}}{21 \, b^{3} x^{\frac{7}{2}}}"," ",0,"-1/8*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/b^4 - 1/8*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/b^4 - 1/16*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^4 + 1/16*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^4 - 1/2*(B*b*c*sqrt(x) - A*c^2*sqrt(x))/((c*x^2 + b)*b^3) - 2/21*(7*B*b*x^2 - 14*A*c*x^2 + 3*A*b)/(b^3*x^(7/2))","A",0
206,1,328,0,0.211147," ","integrate((B*x^2+A)/x^(3/2)/(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{5} c} + \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{8 \, b^{5} c} - \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{5} c} + \frac{\sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{16 \, b^{5} c} + \frac{B b c^{2} x^{\frac{3}{2}} - A c^{3} x^{\frac{3}{2}}}{2 \, {\left(c x^{2} + b\right)} b^{4}} + \frac{2 \, {\left(90 \, B b c x^{4} - 135 \, A c^{2} x^{4} - 9 \, B b^{2} x^{2} + 18 \, A b c x^{2} - 5 \, A b^{2}\right)}}{45 \, b^{4} x^{\frac{9}{2}}}"," ",0,"1/8*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^5*c) + 1/8*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^5*c) - 1/16*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^5*c) + 1/16*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^5*c) + 1/2*(B*b*c^2*x^(3/2) - A*c^3*x^(3/2))/((c*x^2 + b)*b^4) + 2/45*(90*B*b*c*x^4 - 135*A*c^2*x^4 - 9*B*b^2*x^2 + 18*A*b*c*x^2 - 5*A*b^2)/(b^4*x^(9/2))","A",0
207,1,321,0,0.233803," ","integrate(x^(23/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{9 \, \sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, c^{5}} + \frac{9 \, \sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, c^{5}} + \frac{9 \, \sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, c^{5}} - \frac{9 \, \sqrt{2} {\left(13 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 5 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, c^{5}} - \frac{25 \, B b^{2} c x^{\frac{5}{2}} - 17 \, A b c^{2} x^{\frac{5}{2}} + 21 \, B b^{3} \sqrt{x} - 13 \, A b^{2} c \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} c^{4}} + \frac{2 \, {\left(B c^{12} x^{\frac{5}{2}} - 15 \, B b c^{11} \sqrt{x} + 5 \, A c^{12} \sqrt{x}\right)}}{5 \, c^{15}}"," ",0,"9/64*sqrt(2)*(13*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/c^5 + 9/64*sqrt(2)*(13*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/c^5 + 9/128*sqrt(2)*(13*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 - 9/128*sqrt(2)*(13*(b*c^3)^(1/4)*B*b - 5*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/c^5 - 1/16*(25*B*b^2*c*x^(5/2) - 17*A*b*c^2*x^(5/2) + 21*B*b^3*sqrt(x) - 13*A*b^2*c*sqrt(x))/((c*x^2 + b)^2*c^4) + 2/5*(B*c^12*x^(5/2) - 15*B*b*c^11*sqrt(x) + 5*A*c^12*sqrt(x))/c^15","A",0
208,1,304,0,0.231923," ","integrate(x^(21/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{2 \, B x^{\frac{3}{2}}}{3 \, c^{3}} + \frac{19 \, B b c x^{\frac{7}{2}} - 11 \, A c^{2} x^{\frac{7}{2}} + 15 \, B b^{2} x^{\frac{3}{2}} - 7 \, A b c x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} c^{3}} - \frac{7 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b c^{6}} - \frac{7 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b c^{6}} + \frac{7 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b c^{6}} - \frac{7 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 3 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b c^{6}}"," ",0,"2/3*B*x^(3/2)/c^3 + 1/16*(19*B*b*c*x^(7/2) - 11*A*c^2*x^(7/2) + 15*B*b^2*x^(3/2) - 7*A*b*c*x^(3/2))/((c*x^2 + b)^2*c^3) - 7/64*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^6) - 7/64*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^6) + 7/128*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^6) - 7/128*sqrt(2)*(11*(b*c^3)^(3/4)*B*b - 3*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^6)","A",0
209,1,304,0,0.202117," ","integrate(x^(19/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{2 \, B \sqrt{x}}{c^{3}} - \frac{5 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b c^{4}} - \frac{5 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b c^{4}} - \frac{5 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b c^{4}} + \frac{5 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b c^{4}} + \frac{17 \, B b c x^{\frac{5}{2}} - 9 \, A c^{2} x^{\frac{5}{2}} + 13 \, B b^{2} \sqrt{x} - 5 \, A b c \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} c^{3}}"," ",0,"2*B*sqrt(x)/c^3 - 5/64*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b*c^4) - 5/64*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b*c^4) - 5/128*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^4) + 5/128*sqrt(2)*(9*(b*c^3)^(1/4)*B*b - (b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b*c^4) + 1/16*(17*B*b*c*x^(5/2) - 9*A*c^2*x^(5/2) + 13*B*b^2*sqrt(x) - 5*A*b*c*sqrt(x))/((c*x^2 + b)^2*c^3)","A",0
210,1,293,0,0.230587," ","integrate(x^(17/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{11 \, B b c x^{\frac{7}{2}} - 3 \, A c^{2} x^{\frac{7}{2}} + 7 \, B b^{2} x^{\frac{3}{2}} + A b c x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} b c^{2}} + \frac{3 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{2} c^{5}} + \frac{3 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{2} c^{5}} - \frac{3 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{2} c^{5}} + \frac{3 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{2} c^{5}}"," ",0,"-1/16*(11*B*b*c*x^(7/2) - 3*A*c^2*x^(7/2) + 7*B*b^2*x^(3/2) + A*b*c*x^(3/2))/((c*x^2 + b)^2*b*c^2) + 3/64*sqrt(2)*(7*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^5) + 3/64*sqrt(2)*(7*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^5) - 3/128*sqrt(2)*(7*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^5) + 3/128*sqrt(2)*(7*(b*c^3)^(3/4)*B*b + (b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^5)","A",0
211,1,298,0,0.194174," ","integrate(x^(15/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{2} c^{3}} + \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{2} c^{3}} + \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{2} c^{3}} - \frac{\sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{1}{4}} B b + 3 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{2} c^{3}} - \frac{9 \, B b c x^{\frac{5}{2}} - A c^{2} x^{\frac{5}{2}} + 5 \, B b^{2} \sqrt{x} + 3 \, A b c \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} b c^{2}}"," ",0,"1/64*sqrt(2)*(5*(b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^3) + 1/64*sqrt(2)*(5*(b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^2*c^3) + 1/128*sqrt(2)*(5*(b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^3) - 1/128*sqrt(2)*(5*(b*c^3)^(1/4)*B*b + 3*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^2*c^3) - 1/16*(9*B*b*c*x^(5/2) - A*c^2*x^(5/2) + 5*B*b^2*sqrt(x) + 3*A*b*c*sqrt(x))/((c*x^2 + b)^2*b*c^2)","A",0
212,1,298,0,0.232859," ","integrate(x^(13/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{3 \, B b c x^{\frac{7}{2}} + 5 \, A c^{2} x^{\frac{7}{2}} - B b^{2} x^{\frac{3}{2}} + 9 \, A b c x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{2} c} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{3} c^{4}} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{3} c^{4}} - \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{3} c^{4}} + \frac{\sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{3}{4}} B b + 5 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{3} c^{4}}"," ",0,"1/16*(3*B*b*c*x^(7/2) + 5*A*c^2*x^(7/2) - B*b^2*x^(3/2) + 9*A*b*c*x^(3/2))/((c*x^2 + b)^2*b^2*c) + 1/64*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + 5*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^4) + 1/64*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + 5*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^4) - 1/128*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + 5*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^4) + 1/128*sqrt(2)*(3*(b*c^3)^(3/4)*B*b + 5*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^4)","A",0
213,1,293,0,0.195419," ","integrate(x^(11/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{3 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{3} c^{2}} + \frac{3 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{3} c^{2}} + \frac{3 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{3} c^{2}} - \frac{3 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{1}{4}} B b + 7 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{3} c^{2}} + \frac{B b c x^{\frac{5}{2}} + 7 \, A c^{2} x^{\frac{5}{2}} - 3 \, B b^{2} \sqrt{x} + 11 \, A b c \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{2} c}"," ",0,"3/64*sqrt(2)*((b*c^3)^(1/4)*B*b + 7*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^2) + 3/64*sqrt(2)*((b*c^3)^(1/4)*B*b + 7*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^3*c^2) + 3/128*sqrt(2)*((b*c^3)^(1/4)*B*b + 7*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^2) - 3/128*sqrt(2)*((b*c^3)^(1/4)*B*b + 7*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^3*c^2) + 1/16*(B*b*c*x^(5/2) + 7*A*c^2*x^(5/2) - 3*B*b^2*sqrt(x) + 11*A*b*c*sqrt(x))/((c*x^2 + b)^2*b^2*c)","A",0
214,1,300,0,0.211512," ","integrate(x^(9/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{2 \, A}{b^{3} \sqrt{x}} + \frac{5 \, B b c x^{\frac{7}{2}} - 13 \, A c^{2} x^{\frac{7}{2}} + 9 \, B b^{2} x^{\frac{3}{2}} - 17 \, A b c x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{3}} + \frac{5 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{4} c^{3}} + \frac{5 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{4} c^{3}} - \frac{5 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{4} c^{3}} + \frac{5 \, \sqrt{2} {\left(\left(b c^{3}\right)^{\frac{3}{4}} B b - 9 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{4} c^{3}}"," ",0,"-2*A/(b^3*sqrt(x)) + 1/16*(5*B*b*c*x^(7/2) - 13*A*c^2*x^(7/2) + 9*B*b^2*x^(3/2) - 17*A*b*c*x^(3/2))/((c*x^2 + b)^2*b^3) + 5/64*sqrt(2)*((b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^4*c^3) + 5/64*sqrt(2)*((b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^4*c^3) - 5/128*sqrt(2)*((b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c^3) + 5/128*sqrt(2)*((b*c^3)^(3/4)*B*b - 9*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c^3)","A",0
215,1,304,0,0.204640," ","integrate(x^(7/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{7 \, \sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{4} c} + \frac{7 \, \sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{4} c} + \frac{7 \, \sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{4} c} - \frac{7 \, \sqrt{2} {\left(3 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 11 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{4} c} - \frac{2 \, A}{3 \, b^{3} x^{\frac{3}{2}}} + \frac{7 \, B b c x^{\frac{5}{2}} - 15 \, A c^{2} x^{\frac{5}{2}} + 11 \, B b^{2} \sqrt{x} - 19 \, A b c \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{3}}"," ",0,"7/64*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^4*c) + 7/64*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^4*c) + 7/128*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c) - 7/128*sqrt(2)*(3*(b*c^3)^(1/4)*B*b - 11*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^4*c) - 2/3*A/(b^3*x^(3/2)) + 1/16*(7*B*b*c*x^(5/2) - 15*A*c^2*x^(5/2) + 11*B*b^2*sqrt(x) - 19*A*b*c*sqrt(x))/((c*x^2 + b)^2*b^3)","A",0
216,1,326,0,0.221492," ","integrate(x^(5/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{9 \, \sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{5} c^{2}} - \frac{9 \, \sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{5} c^{2}} + \frac{9 \, \sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{5} c^{2}} - \frac{9 \, \sqrt{2} {\left(5 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 13 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{5} c^{2}} - \frac{13 \, B b c^{2} x^{\frac{7}{2}} - 21 \, A c^{3} x^{\frac{7}{2}} + 17 \, B b^{2} c x^{\frac{3}{2}} - 25 \, A b c^{2} x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{4}} - \frac{2 \, {\left(5 \, B b x^{2} - 15 \, A c x^{2} + A b\right)}}{5 \, b^{4} x^{\frac{5}{2}}}"," ",0,"-9/64*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^5*c^2) - 9/64*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^5*c^2) + 9/128*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^5*c^2) - 9/128*sqrt(2)*(5*(b*c^3)^(3/4)*B*b - 13*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^5*c^2) - 1/16*(13*B*b*c^2*x^(7/2) - 21*A*c^3*x^(7/2) + 17*B*b^2*c*x^(3/2) - 25*A*b*c^2*x^(3/2))/((c*x^2 + b)^2*b^4) - 2/5*(5*B*b*x^2 - 15*A*c*x^2 + A*b)/(b^4*x^(5/2))","A",0
217,1,315,0,0.218789," ","integrate(x^(3/2)*(B*x^2+A)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","-\frac{11 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 15 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{5}} - \frac{11 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 15 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{5}} - \frac{11 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 15 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{5}} + \frac{11 \, \sqrt{2} {\left(7 \, \left(b c^{3}\right)^{\frac{1}{4}} B b - 15 \, \left(b c^{3}\right)^{\frac{1}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{5}} - \frac{15 \, B b c^{2} x^{\frac{5}{2}} - 23 \, A c^{3} x^{\frac{5}{2}} + 19 \, B b^{2} c \sqrt{x} - 27 \, A b c^{2} \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{4}} - \frac{2 \, {\left(7 \, B b x^{2} - 21 \, A c x^{2} + 3 \, A b\right)}}{21 \, b^{4} x^{\frac{7}{2}}}"," ",0,"-11/64*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 15*(b*c^3)^(1/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/b^5 - 11/64*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 15*(b*c^3)^(1/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/b^5 - 11/128*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 15*(b*c^3)^(1/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^5 + 11/128*sqrt(2)*(7*(b*c^3)^(1/4)*B*b - 15*(b*c^3)^(1/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^5 - 1/16*(15*B*b*c^2*x^(5/2) - 23*A*c^3*x^(5/2) + 19*B*b^2*c*sqrt(x) - 27*A*b*c^2*sqrt(x))/((c*x^2 + b)^2*b^4) - 2/21*(7*B*b*x^2 - 21*A*c*x^2 + 3*A*b)/(b^4*x^(7/2))","A",0
218,1,351,0,0.259869," ","integrate((B*x^2+A)*x^(1/2)/(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{13 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 17 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{6} c} + \frac{13 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 17 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{6} c} - \frac{13 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 17 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{6} c} + \frac{13 \, \sqrt{2} {\left(9 \, \left(b c^{3}\right)^{\frac{3}{4}} B b - 17 \, \left(b c^{3}\right)^{\frac{3}{4}} A c\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{6} c} + \frac{21 \, B b c^{3} x^{\frac{7}{2}} - 29 \, A c^{4} x^{\frac{7}{2}} + 25 \, B b^{2} c^{2} x^{\frac{3}{2}} - 33 \, A b c^{3} x^{\frac{3}{2}}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{5}} + \frac{2 \, {\left(135 \, B b c x^{4} - 270 \, A c^{2} x^{4} - 9 \, B b^{2} x^{2} + 27 \, A b c x^{2} - 5 \, A b^{2}\right)}}{45 \, b^{5} x^{\frac{9}{2}}}"," ",0,"13/64*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 17*(b*c^3)^(3/4)*A*c)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/(b^6*c) + 13/64*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 17*(b*c^3)^(3/4)*A*c)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/(b^6*c) - 13/128*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 17*(b*c^3)^(3/4)*A*c)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^6*c) + 13/128*sqrt(2)*(9*(b*c^3)^(3/4)*B*b - 17*(b*c^3)^(3/4)*A*c)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/(b^6*c) + 1/16*(21*B*b*c^3*x^(7/2) - 29*A*c^4*x^(7/2) + 25*B*b^2*c^2*x^(3/2) - 33*A*b*c^3*x^(3/2))/((c*x^2 + b)^2*b^5) + 2/45*(135*B*b*c*x^4 - 270*A*c^2*x^4 - 9*B*b^2*x^2 + 27*A*b*c*x^2 - 5*A*b^2)/(b^5*x^(9/2))","A",0
219,1,351,0,0.280668," ","integrate((B*x^2+A)/(c*x^4+b*x^2)^3/x^(1/2),x, algorithm=""giac"")","\frac{15 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{1}{4}} B b c - 19 \, \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} + 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{6}} + \frac{15 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{1}{4}} B b c - 19 \, \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \left(\frac{b}{c}\right)^{\frac{1}{4}} - 2 \, \sqrt{x}\right)}}{2 \, \left(\frac{b}{c}\right)^{\frac{1}{4}}}\right)}{64 \, b^{6}} + \frac{15 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{1}{4}} B b c - 19 \, \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \log\left(\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{6}} - \frac{15 \, \sqrt{2} {\left(11 \, \left(b c^{3}\right)^{\frac{1}{4}} B b c - 19 \, \left(b c^{3}\right)^{\frac{1}{4}} A c^{2}\right)} \log\left(-\sqrt{2} \sqrt{x} \left(\frac{b}{c}\right)^{\frac{1}{4}} + x + \sqrt{\frac{b}{c}}\right)}{128 \, b^{6}} + \frac{23 \, B b c^{3} x^{\frac{5}{2}} - 31 \, A c^{4} x^{\frac{5}{2}} + 27 \, B b^{2} c^{2} \sqrt{x} - 35 \, A b c^{3} \sqrt{x}}{16 \, {\left(c x^{2} + b\right)}^{2} b^{5}} + \frac{2 \, {\left(77 \, B b c x^{4} - 154 \, A c^{2} x^{4} - 11 \, B b^{2} x^{2} + 33 \, A b c x^{2} - 7 \, A b^{2}\right)}}{77 \, b^{5} x^{\frac{11}{2}}}"," ",0,"15/64*sqrt(2)*(11*(b*c^3)^(1/4)*B*b*c - 19*(b*c^3)^(1/4)*A*c^2)*arctan(1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) + 2*sqrt(x))/(b/c)^(1/4))/b^6 + 15/64*sqrt(2)*(11*(b*c^3)^(1/4)*B*b*c - 19*(b*c^3)^(1/4)*A*c^2)*arctan(-1/2*sqrt(2)*(sqrt(2)*(b/c)^(1/4) - 2*sqrt(x))/(b/c)^(1/4))/b^6 + 15/128*sqrt(2)*(11*(b*c^3)^(1/4)*B*b*c - 19*(b*c^3)^(1/4)*A*c^2)*log(sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^6 - 15/128*sqrt(2)*(11*(b*c^3)^(1/4)*B*b*c - 19*(b*c^3)^(1/4)*A*c^2)*log(-sqrt(2)*sqrt(x)*(b/c)^(1/4) + x + sqrt(b/c))/b^6 + 1/16*(23*B*b*c^3*x^(5/2) - 31*A*c^4*x^(5/2) + 27*B*b^2*c^2*sqrt(x) - 35*A*b*c^3*sqrt(x))/((c*x^2 + b)^2*b^5) + 2/77*(77*B*b*c*x^4 - 154*A*c^2*x^4 - 11*B*b^2*x^2 + 33*A*b*c*x^2 - 7*A*b^2)/(b^5*x^(11/2))","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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
269,1,603,0,0.215046," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2)^3,x, algorithm=""giac"")","\frac{B c^{3} m^{4} x^{15} x^{m} + 40 \, B c^{3} m^{3} x^{15} x^{m} + 3 \, B b c^{2} m^{4} x^{13} x^{m} + A c^{3} m^{4} x^{13} x^{m} + 590 \, B c^{3} m^{2} x^{15} x^{m} + 126 \, B b c^{2} m^{3} x^{13} x^{m} + 42 \, A c^{3} m^{3} x^{13} x^{m} + 3800 \, B c^{3} m x^{15} x^{m} + 3 \, B b^{2} c m^{4} x^{11} x^{m} + 3 \, A b c^{2} m^{4} x^{11} x^{m} + 1932 \, B b c^{2} m^{2} x^{13} x^{m} + 644 \, A c^{3} m^{2} x^{13} x^{m} + 9009 \, B c^{3} x^{15} x^{m} + 132 \, B b^{2} c m^{3} x^{11} x^{m} + 132 \, A b c^{2} m^{3} x^{11} x^{m} + 12834 \, B b c^{2} m x^{13} x^{m} + 4278 \, A c^{3} m x^{13} x^{m} + B b^{3} m^{4} x^{9} x^{m} + 3 \, A b^{2} c m^{4} x^{9} x^{m} + 2118 \, B b^{2} c m^{2} x^{11} x^{m} + 2118 \, A b c^{2} m^{2} x^{11} x^{m} + 31185 \, B b c^{2} x^{13} x^{m} + 10395 \, A c^{3} x^{13} x^{m} + 46 \, B b^{3} m^{3} x^{9} x^{m} + 138 \, A b^{2} c m^{3} x^{9} x^{m} + 14652 \, B b^{2} c m x^{11} x^{m} + 14652 \, A b c^{2} m x^{11} x^{m} + A b^{3} m^{4} x^{7} x^{m} + 776 \, B b^{3} m^{2} x^{9} x^{m} + 2328 \, A b^{2} c m^{2} x^{9} x^{m} + 36855 \, B b^{2} c x^{11} x^{m} + 36855 \, A b c^{2} x^{11} x^{m} + 48 \, A b^{3} m^{3} x^{7} x^{m} + 5666 \, B b^{3} m x^{9} x^{m} + 16998 \, A b^{2} c m x^{9} x^{m} + 854 \, A b^{3} m^{2} x^{7} x^{m} + 15015 \, B b^{3} x^{9} x^{m} + 45045 \, A b^{2} c x^{9} x^{m} + 6672 \, A b^{3} m x^{7} x^{m} + 19305 \, A b^{3} x^{7} x^{m}}{m^{5} + 55 \, m^{4} + 1190 \, m^{3} + 12650 \, m^{2} + 66009 \, m + 135135}"," ",0,"(B*c^3*m^4*x^15*x^m + 40*B*c^3*m^3*x^15*x^m + 3*B*b*c^2*m^4*x^13*x^m + A*c^3*m^4*x^13*x^m + 590*B*c^3*m^2*x^15*x^m + 126*B*b*c^2*m^3*x^13*x^m + 42*A*c^3*m^3*x^13*x^m + 3800*B*c^3*m*x^15*x^m + 3*B*b^2*c*m^4*x^11*x^m + 3*A*b*c^2*m^4*x^11*x^m + 1932*B*b*c^2*m^2*x^13*x^m + 644*A*c^3*m^2*x^13*x^m + 9009*B*c^3*x^15*x^m + 132*B*b^2*c*m^3*x^11*x^m + 132*A*b*c^2*m^3*x^11*x^m + 12834*B*b*c^2*m*x^13*x^m + 4278*A*c^3*m*x^13*x^m + B*b^3*m^4*x^9*x^m + 3*A*b^2*c*m^4*x^9*x^m + 2118*B*b^2*c*m^2*x^11*x^m + 2118*A*b*c^2*m^2*x^11*x^m + 31185*B*b*c^2*x^13*x^m + 10395*A*c^3*x^13*x^m + 46*B*b^3*m^3*x^9*x^m + 138*A*b^2*c*m^3*x^9*x^m + 14652*B*b^2*c*m*x^11*x^m + 14652*A*b*c^2*m*x^11*x^m + A*b^3*m^4*x^7*x^m + 776*B*b^3*m^2*x^9*x^m + 2328*A*b^2*c*m^2*x^9*x^m + 36855*B*b^2*c*x^11*x^m + 36855*A*b*c^2*x^11*x^m + 48*A*b^3*m^3*x^7*x^m + 5666*B*b^3*m*x^9*x^m + 16998*A*b^2*c*m*x^9*x^m + 854*A*b^3*m^2*x^7*x^m + 15015*B*b^3*x^9*x^m + 45045*A*b^2*c*x^9*x^m + 6672*A*b^3*m*x^7*x^m + 19305*A*b^3*x^7*x^m)/(m^5 + 55*m^4 + 1190*m^3 + 12650*m^2 + 66009*m + 135135)","B",0
270,1,340,0,0.189109," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2)^2,x, algorithm=""giac"")","\frac{B c^{2} m^{3} x^{11} x^{m} + 21 \, B c^{2} m^{2} x^{11} x^{m} + 2 \, B b c m^{3} x^{9} x^{m} + A c^{2} m^{3} x^{9} x^{m} + 143 \, B c^{2} m x^{11} x^{m} + 46 \, B b c m^{2} x^{9} x^{m} + 23 \, A c^{2} m^{2} x^{9} x^{m} + 315 \, B c^{2} x^{11} x^{m} + B b^{2} m^{3} x^{7} x^{m} + 2 \, A b c m^{3} x^{7} x^{m} + 334 \, B b c m x^{9} x^{m} + 167 \, A c^{2} m x^{9} x^{m} + 25 \, B b^{2} m^{2} x^{7} x^{m} + 50 \, A b c m^{2} x^{7} x^{m} + 770 \, B b c x^{9} x^{m} + 385 \, A c^{2} x^{9} x^{m} + A b^{2} m^{3} x^{5} x^{m} + 199 \, B b^{2} m x^{7} x^{m} + 398 \, A b c m x^{7} x^{m} + 27 \, A b^{2} m^{2} x^{5} x^{m} + 495 \, B b^{2} x^{7} x^{m} + 990 \, A b c x^{7} x^{m} + 239 \, A b^{2} m x^{5} x^{m} + 693 \, A b^{2} x^{5} x^{m}}{m^{4} + 32 \, m^{3} + 374 \, m^{2} + 1888 \, m + 3465}"," ",0,"(B*c^2*m^3*x^11*x^m + 21*B*c^2*m^2*x^11*x^m + 2*B*b*c*m^3*x^9*x^m + A*c^2*m^3*x^9*x^m + 143*B*c^2*m*x^11*x^m + 46*B*b*c*m^2*x^9*x^m + 23*A*c^2*m^2*x^9*x^m + 315*B*c^2*x^11*x^m + B*b^2*m^3*x^7*x^m + 2*A*b*c*m^3*x^7*x^m + 334*B*b*c*m*x^9*x^m + 167*A*c^2*m*x^9*x^m + 25*B*b^2*m^2*x^7*x^m + 50*A*b*c*m^2*x^7*x^m + 770*B*b*c*x^9*x^m + 385*A*c^2*x^9*x^m + A*b^2*m^3*x^5*x^m + 199*B*b^2*m*x^7*x^m + 398*A*b*c*m*x^7*x^m + 27*A*b^2*m^2*x^5*x^m + 495*B*b^2*x^7*x^m + 990*A*b*c*x^7*x^m + 239*A*b^2*m*x^5*x^m + 693*A*b^2*x^5*x^m)/(m^4 + 32*m^3 + 374*m^2 + 1888*m + 3465)","B",0
271,1,149,0,0.163172," ","integrate(x^m*(B*x^2+A)*(c*x^4+b*x^2),x, algorithm=""giac"")","\frac{B c m^{2} x^{7} x^{m} + 8 \, B c m x^{7} x^{m} + B b m^{2} x^{5} x^{m} + A c m^{2} x^{5} x^{m} + 15 \, B c x^{7} x^{m} + 10 \, B b m x^{5} x^{m} + 10 \, A c m x^{5} x^{m} + A b m^{2} x^{3} x^{m} + 21 \, B b x^{5} x^{m} + 21 \, A c x^{5} x^{m} + 12 \, A b m x^{3} x^{m} + 35 \, A b x^{3} x^{m}}{m^{3} + 15 \, m^{2} + 71 \, m + 105}"," ",0,"(B*c*m^2*x^7*x^m + 8*B*c*m*x^7*x^m + B*b*m^2*x^5*x^m + A*c*m^2*x^5*x^m + 15*B*c*x^7*x^m + 10*B*b*m*x^5*x^m + 10*A*c*m*x^5*x^m + A*b*m^2*x^3*x^m + 21*B*b*x^5*x^m + 21*A*c*x^5*x^m + 12*A*b*m*x^3*x^m + 35*A*b*x^3*x^m)/(m^3 + 15*m^2 + 71*m + 105)","B",0
272,0,0,0,0.000000," ","integrate(x^m*(B*x^2+A)/(c*x^4+b*x^2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
275,0,0,0,0.000000," ","integrate(x^(-j*p+n-1)*(c+d*x^n)*(a*x^j+b*x^(j+n))^p,x, algorithm=""giac"")","\int {\left(d x^{n} + c\right)} {\left(b x^{j + n} + a x^{j}\right)}^{p} x^{-j p + n - 1}\,{d x}"," ",0,"integrate((d*x^n + c)*(b*x^(j + n) + a*x^j)^p*x^(-j*p + n - 1), x)","F",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=""giac"")","\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=""giac"")","\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
278,1,17,0,0.155239," ","integrate((3*x^4+4)/(2*x^5+5*x),x, algorithm=""giac"")","\frac{7}{40} \, \log\left(2 \, x^{4} + 5\right) + \frac{1}{5} \, \log\left(x^{4}\right)"," ",0,"7/40*log(2*x^4 + 5) + 1/5*log(x^4)","A",0
279,1,16,0,0.151566," ","integrate((x^6+1)/(-x^7+x),x, algorithm=""giac"")","\frac{1}{6} \, \log\left(x^{6}\right) - \frac{1}{3} \, \log\left({\left| x^{6} - 1 \right|}\right)"," ",0,"1/6*log(x^6) - 1/3*log(abs(x^6 - 1))","A",0
280,1,16,0,0.190586," ","integrate((5*x^10+8)/(-x^11+2*x),x, algorithm=""giac"")","\frac{2}{5} \, \log\left(x^{10}\right) - \frac{9}{10} \, \log\left({\left| x^{10} - 2 \right|}\right)"," ",0,"2/5*log(x^10) - 9/10*log(abs(x^10 - 2))","A",0
281,1,16,0,0.182652," ","integrate((-3+2*x)/(x^3-x^2),x, algorithm=""giac"")","-\frac{3}{x} - \log\left({\left| x - 1 \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"-3/x - log(abs(x - 1)) + log(abs(x))","A",0
282,0,0,0,0.000000," ","integrate((a*x^m+b*x^n)/(c*x^m+d*x^n),x, algorithm=""giac"")","\int \frac{a x^{m} + b x^{n}}{c x^{m} + d x^{n}}\,{d x}"," ",0,"integrate((a*x^m + b*x^n)/(c*x^m + d*x^n), x)","F",0
283,1,48,0,0.369340," ","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=""giac"")","{\left(b x^{n} + a\right)}^{p} b x x^{n} e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)} + {\left(b x^{n} + a\right)}^{p} a x e^{\left(m \log\left(x\right) + q \log\left(x\right)\right)}"," ",0,"(b*x^n + a)^p*b*x*x^n*e^(m*log(x) + q*log(x)) + (b*x^n + a)^p*a*x*e^(m*log(x) + q*log(x))","B",0
284,0,0,0,0.000000," ","integrate((a+b/x)^n*x^m/(d*x+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
