1,1,115,103,0.010000," ","int(x^3*(B*x+A)*(b*x^2+a)^(1/2),x)","\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B \,x^{3}}{6 b}+\frac{B \,a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{5}{2}}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A \,x^{2}}{5 b}+\frac{\sqrt{b \,x^{2}+a}\, B \,a^{2} x}{16 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B a x}{8 b^{2}}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} A a}{15 b^{2}}"," ",0,"1/6*B*x^3*(b*x^2+a)^(3/2)/b-1/8*B*a/b^2*x*(b*x^2+a)^(3/2)+1/16*a^2*B*x*(b*x^2+a)^(1/2)/b^2+1/16*B*a^3/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/5*A*x^2*(b*x^2+a)^(3/2)/b-2/15*A*a/b^2*(b*x^2+a)^(3/2)","A"
2,1,94,84,0.007000," ","int(x^2*(B*x+A)*(b*x^2+a)^(1/2),x)","-\frac{A \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, A a x}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B \,x^{2}}{5 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A x}{4 b}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} B a}{15 b^{2}}"," ",0,"1/5*B*x^2*(b*x^2+a)^(3/2)/b-2/15*B*a/b^2*(b*x^2+a)^(3/2)+1/4*A*x*(b*x^2+a)^(3/2)/b-1/8*a*A*x*(b*x^2+a)^(1/2)/b-1/8*A*a^2/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
3,1,75,64,0.005000," ","int(x*(B*x+A)*(b*x^2+a)^(1/2),x)","-\frac{B \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, B a x}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B x}{4 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A}{3 b}"," ",0,"1/4*B*x*(b*x^2+a)^(3/2)/b-1/8*a*B*x*(b*x^2+a)^(1/2)/b-1/8*B*a^2/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/3*A*(b*x^2+a)^(3/2)/b","A"
4,1,53,51,0.006000," ","int((B*x+A)*(b*x^2+a)^(1/2),x)","\frac{A a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 \sqrt{b}}+\frac{\sqrt{b \,x^{2}+a}\, A x}{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B}{3 b}"," ",0,"1/3*B*(b*x^2+a)^(3/2)/b+1/2*A*x*(b*x^2+a)^(1/2)+1/2*A*a/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
5,1,78,61,0.006000," ","int((B*x+A)*(b*x^2+a)^(1/2)/x,x)","-A \sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{B a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 \sqrt{b}}+\frac{\sqrt{b \,x^{2}+a}\, B x}{2}+\sqrt{b \,x^{2}+a}\, A"," ",0,"1/2*B*x*(b*x^2+a)^(1/2)+1/2*B*a/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-A*a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+A*(b*x^2+a)^(1/2)","A"
6,1,97,61,0.010000," ","int((B*x+A)*(b*x^2+a)^(1/2)/x^2,x)","A \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)-B \sqrt{a}\, \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{\sqrt{b \,x^{2}+a}\, A b x}{a}+\sqrt{b \,x^{2}+a}\, B -\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A}{a x}"," ",0,"-A/a/x*(b*x^2+a)^(3/2)+A/a*b*x*(b*x^2+a)^(1/2)+A*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-B*a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+B*(b*x^2+a)^(1/2)","A"
7,1,121,62,0.007000," ","int((B*x+A)*(b*x^2+a)^(1/2)/x^3,x)","-\frac{A b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 \sqrt{a}}+B \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)+\frac{\sqrt{b \,x^{2}+a}\, B b x}{a}+\frac{\sqrt{b \,x^{2}+a}\, A b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B}{a x}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(b*x^2+a)^(3/2)-1/2*A/a^(1/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+1/2*A/a*b*(b*x^2+a)^(1/2)-B/a/x*(b*x^2+a)^(3/2)+B/a*b*x*(b*x^2+a)^(1/2)+B*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
8,1,134,122,0.012000," ","int(x^3*(B*x+A)*(b*x^2+a)^(3/2),x)","\frac{3 B \,a^{4} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, B \,a^{3} x}{128 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B \,x^{3}}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A \,x^{2}}{7 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{2} x}{64 b^{2}}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B a x}{16 b^{2}}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{2}} A a}{35 b^{2}}"," ",0,"1/8*B*x^3*(b*x^2+a)^(5/2)/b-1/16*B*a/b^2*x*(b*x^2+a)^(5/2)+1/64*a^2*B*x*(b*x^2+a)^(3/2)/b^2+3/128*a^3*B*x*(b*x^2+a)^(1/2)/b^2+3/128*B*a^4/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/7*A*x^2*(b*x^2+a)^(5/2)/b-2/35*A*a/b^2*(b*x^2+a)^(5/2)","A"
9,1,113,103,0.009000," ","int(x^2*(B*x+A)*(b*x^2+a)^(3/2),x)","-\frac{A \,a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, A \,a^{2} x}{16 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A a x}{24 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B \,x^{2}}{7 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A x}{6 b}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{5}{2}} B a}{35 b^{2}}"," ",0,"1/7*B*x^2*(b*x^2+a)^(5/2)/b-2/35*B*a/b^2*(b*x^2+a)^(5/2)+1/6*A*x*(b*x^2+a)^(5/2)/b-1/24*a*A*x*(b*x^2+a)^(3/2)/b-1/16*a^2*A*x*(b*x^2+a)^(1/2)/b-1/16*A*a^3/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
10,1,94,83,0.006000," ","int(x*(B*x+A)*(b*x^2+a)^(3/2),x)","-\frac{B \,a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, B \,a^{2} x}{16 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B a x}{24 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B x}{6 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A}{5 b}"," ",0,"1/6*B*x*(b*x^2+a)^(5/2)/b-1/24*a*B*x*(b*x^2+a)^(3/2)/b-1/16*a^2*B*x*(b*x^2+a)^(1/2)/b-1/16*B*a^3/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/5*A/b*(b*x^2+a)^(5/2)","A"
11,1,69,67,0.005000," ","int((B*x+A)*(b*x^2+a)^(3/2),x)","\frac{3 A \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 \sqrt{b}}+\frac{3 \sqrt{b \,x^{2}+a}\, A a x}{8}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A x}{4}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B}{5 b}"," ",0,"1/5*B*(b*x^2+a)^(5/2)/b+1/4*A*x*(b*x^2+a)^(3/2)+3/8*a*A*x*(b*x^2+a)^(1/2)+3/8*A*a^2/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
12,1,107,84,0.009000," ","int((B*x+A)*(b*x^2+a)^(3/2)/x,x)","-A \,a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{3 B \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 \sqrt{b}}+\frac{3 \sqrt{b \,x^{2}+a}\, B a x}{8}+\sqrt{b \,x^{2}+a}\, A a +\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B x}{4}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A}{3}"," ",0,"1/4*(b*x^2+a)^(3/2)*B*x+3/8*(b*x^2+a)^(1/2)*B*a*x+3/8*B*a^2/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/3*A*(b*x^2+a)^(3/2)-A*a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+A*(b*x^2+a)^(1/2)*a","A"
13,1,126,86,0.009000," ","int((B*x+A)*(b*x^2+a)^(3/2)/x^2,x)","\frac{3 A a \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2}-B \,a^{\frac{3}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{3 \sqrt{b \,x^{2}+a}\, A b x}{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A b x}{a}+\sqrt{b \,x^{2}+a}\, B a +\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B}{3}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A}{a x}"," ",0,"-(b*x^2+a)^(5/2)*A/a/x+(b*x^2+a)^(3/2)*A/a*b*x+3/2*(b*x^2+a)^(1/2)*A*b*x+3/2*A*a*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/3*B*(b*x^2+a)^(3/2)-B*a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+B*(b*x^2+a)^(1/2)*a","A"
14,1,150,87,0.010000," ","int((B*x+A)*(b*x^2+a)^(3/2)/x^3,x)","-\frac{3 A \sqrt{a}\, b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{3 B a \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2}+\frac{3 \sqrt{b \,x^{2}+a}\, B b x}{2}+\frac{3 \sqrt{b \,x^{2}+a}\, A b}{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B b x}{a}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B}{a x}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(b*x^2+a)^(5/2)+1/2*A/a*b*(b*x^2+a)^(3/2)-3/2*A*a^(1/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+3/2*A*b*(b*x^2+a)^(1/2)-B/a/x*(b*x^2+a)^(5/2)+B/a*b*x*(b*x^2+a)^(3/2)+3/2*B*b*x*(b*x^2+a)^(1/2)+3/2*B*a*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
15,1,153,141,0.010000," ","int(x^3*(B*x+A)*(b*x^2+a)^(5/2),x)","\frac{3 B \,a^{5} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{256 b^{\frac{5}{2}}}+\frac{3 \sqrt{b \,x^{2}+a}\, B \,a^{4} x}{256 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{3} x}{128 b^{2}}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} B \,x^{3}}{10 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} A \,x^{2}}{9 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B \,a^{2} x}{160 b^{2}}-\frac{3 \left(b \,x^{2}+a \right)^{\frac{7}{2}} B a x}{80 b^{2}}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} A a}{63 b^{2}}"," ",0,"1/10*B*x^3*(b*x^2+a)^(7/2)/b-3/80*B*a/b^2*x*(b*x^2+a)^(7/2)+1/160*a^2*B*x*(b*x^2+a)^(5/2)/b^2+1/128*a^3*B*x*(b*x^2+a)^(3/2)/b^2+3/256*a^4*B*x*(b*x^2+a)^(1/2)/b^2+3/256*B*a^5/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/9*A*x^2*(b*x^2+a)^(7/2)/b-2/63*A*a/b^2*(b*x^2+a)^(7/2)","A"
16,1,132,122,0.007000," ","int(x^2*(B*x+A)*(b*x^2+a)^(5/2),x)","-\frac{5 A \,a^{4} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{3}{2}}}-\frac{5 \sqrt{b \,x^{2}+a}\, A \,a^{3} x}{128 b}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} A \,a^{2} x}{192 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A a x}{48 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} B \,x^{2}}{9 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} A x}{8 b}-\frac{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} B a}{63 b^{2}}"," ",0,"1/9*B*x^2*(b*x^2+a)^(7/2)/b-2/63*B*a/b^2*(b*x^2+a)^(7/2)+1/8*A*x*(b*x^2+a)^(7/2)/b-1/48*a*A*x*(b*x^2+a)^(5/2)/b-5/192*a^2*A*x*(b*x^2+a)^(3/2)/b-5/128*a^3*A*x*(b*x^2+a)^(1/2)/b-5/128*A*a^4/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
17,1,113,102,0.007000," ","int(x*(B*x+A)*(b*x^2+a)^(5/2),x)","-\frac{5 B \,a^{4} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{3}{2}}}-\frac{5 \sqrt{b \,x^{2}+a}\, B \,a^{3} x}{128 b}-\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} B \,a^{2} x}{192 b}-\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B a x}{48 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} B x}{8 b}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} A}{7 b}"," ",0,"1/8*B*x*(b*x^2+a)^(7/2)/b-1/48*a*B*x*(b*x^2+a)^(5/2)/b-5/192*a^2*B*x*(b*x^2+a)^(3/2)/b-5/128*a^3*B*x*(b*x^2+a)^(1/2)/b-5/128*B*a^4/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/7*A/b*(b*x^2+a)^(7/2)","A"
18,1,85,83,0.005000," ","int((B*x+A)*(b*x^2+a)^(5/2),x)","\frac{5 A \,a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 \sqrt{b}}+\frac{5 \sqrt{b \,x^{2}+a}\, A \,a^{2} x}{16}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} A a x}{24}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A x}{6}+\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} B}{7 b}"," ",0,"1/7*B*(b*x^2+a)^(7/2)/b+1/6*A*x*(b*x^2+a)^(5/2)+5/24*a*A*x*(b*x^2+a)^(3/2)+5/16*a^2*A*x*(b*x^2+a)^(1/2)+5/16*A*a^3/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
19,1,138,106,0.007000," ","int((B*x+A)*(b*x^2+a)^(5/2)/x,x)","-A \,a^{\frac{5}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{5 B \,a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 \sqrt{b}}+\frac{5 \sqrt{b \,x^{2}+a}\, B \,a^{2} x}{16}+\sqrt{b \,x^{2}+a}\, A \,a^{2}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} B a x}{24}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} A a}{3}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B x}{6}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A}{5}"," ",0,"1/6*B*x*(b*x^2+a)^(5/2)+5/24*B*a*x*(b*x^2+a)^(3/2)+5/16*B*a^2*x*(b*x^2+a)^(1/2)+5/16*B*a^3/b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/5*A*(b*x^2+a)^(5/2)+1/3*A*a*(b*x^2+a)^(3/2)-A*a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+A*(b*x^2+a)^(1/2)*a^2","A"
20,1,158,110,0.010000," ","int((B*x+A)*(b*x^2+a)^(5/2)/x^2,x)","\frac{15 A \,a^{2} \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8}-B \,a^{\frac{5}{2}} \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)+\frac{15 \sqrt{b \,x^{2}+a}\, A a b x}{8}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} A b x}{4}+\sqrt{b \,x^{2}+a}\, B \,a^{2}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A b x}{a}+\frac{\left(b \,x^{2}+a \right)^{\frac{3}{2}} B a}{3}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B}{5}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} A}{a x}"," ",0,"-A/a/x*(b*x^2+a)^(7/2)+A/a*b*x*(b*x^2+a)^(5/2)+5/4*A*b*x*(b*x^2+a)^(3/2)+15/8*A*a*b*x*(b*x^2+a)^(1/2)+15/8*A*a^2*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/5*B*(b*x^2+a)^(5/2)+1/3*B*a*(b*x^2+a)^(3/2)-B*a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+B*(b*x^2+a)^(1/2)*a^2","A"
21,1,181,113,0.012000," ","int((B*x+A)*(b*x^2+a)^(5/2)/x^3,x)","-\frac{5 A \,a^{\frac{3}{2}} b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2}+\frac{15 B \,a^{2} \sqrt{b}\, \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8}+\frac{15 \sqrt{b \,x^{2}+a}\, B a b x}{8}+\frac{5 \sqrt{b \,x^{2}+a}\, A a b}{2}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} B b x}{4}+\frac{5 \left(b \,x^{2}+a \right)^{\frac{3}{2}} A b}{6}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} B b x}{a}+\frac{\left(b \,x^{2}+a \right)^{\frac{5}{2}} A b}{2 a}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} B}{a x}-\frac{\left(b \,x^{2}+a \right)^{\frac{7}{2}} A}{2 a \,x^{2}}"," ",0,"-1/2*A/a/x^2*(b*x^2+a)^(7/2)+1/2*A/a*b*(b*x^2+a)^(5/2)+5/6*A*b*(b*x^2+a)^(3/2)-5/2*A*a^(3/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)+5/2*A*a*b*(b*x^2+a)^(1/2)-B/a/x*(b*x^2+a)^(7/2)+B/a*b*x*(b*x^2+a)^(5/2)+5/4*B*b*x*(b*x^2+a)^(3/2)+15/8*B*a*b*x*(b*x^2+a)^(1/2)+15/8*B*a^2*b^(1/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
22,1,96,84,0.010000," ","int(x^3*(B*x+A)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, B \,x^{3}}{4 b}+\frac{\sqrt{b \,x^{2}+a}\, A \,x^{2}}{3 b}+\frac{3 B \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}-\frac{3 \sqrt{b \,x^{2}+a}\, B a x}{8 b^{2}}-\frac{2 \sqrt{b \,x^{2}+a}\, A a}{3 b^{2}}"," ",0,"1/4*B*x^3*(b*x^2+a)^(1/2)/b-3/8*B*a/b^2*x*(b*x^2+a)^(1/2)+3/8*B*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/3*A*x^2*(b*x^2+a)^(1/2)/b-2/3*A*a/b^2*(b*x^2+a)^(1/2)","A"
23,1,75,65,0.008000," ","int(x^2*(B*x+A)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, B \,x^{2}}{3 b}-\frac{A a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, A x}{2 b}-\frac{2 \sqrt{b \,x^{2}+a}\, B a}{3 b^{2}}"," ",0,"1/3*B*x^2*(b*x^2+a)^(1/2)/b-2/3*B*a/b^2*(b*x^2+a)^(1/2)+1/2*A*x/b*(b*x^2+a)^(1/2)-1/2*A*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
24,1,55,44,0.004000," ","int(x*(B*x+A)/(b*x^2+a)^(1/2),x)","-\frac{B a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, B x}{2 b}+\frac{\sqrt{b \,x^{2}+a}\, A}{b}"," ",0,"1/2*B*x/b*(b*x^2+a)^(1/2)-1/2*B*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+A/b*(b*x^2+a)^(1/2)","A"
25,1,37,35,0.006000," ","int((B*x+A)/(b*x^2+a)^(1/2),x)","\frac{A \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}+\frac{\sqrt{b \,x^{2}+a}\, B}{b}"," ",0,"B*(b*x^2+a)^(1/2)/b+A*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)","A"
26,1,52,41,0.007000," ","int((B*x+A)/x/(b*x^2+a)^(1/2),x)","-\frac{A \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{B \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}"," ",0,"B*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)-A/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
27,1,49,39,0.007000," ","int((B*x+A)/x^2/(b*x^2+a)^(1/2),x)","-\frac{B \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}-\frac{\sqrt{b \,x^{2}+a}\, A}{a x}"," ",0,"-A*(b*x^2+a)^(1/2)/a/x-B/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
28,1,68,58,0.011000," ","int((B*x+A)/x^3/(b*x^2+a)^(1/2),x)","\frac{A b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, B}{a x}-\frac{\sqrt{b \,x^{2}+a}\, A}{2 a \,x^{2}}"," ",0,"-1/2*A*(b*x^2+a)^(1/2)/a/x^2+1/2*A*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-B*(b*x^2+a)^(1/2)/a/x","A"
29,1,93,67,0.010000," ","int(x^3*(B*x+A)/(b*x^2+a)^(3/2),x)","\frac{B \,x^{3}}{2 \sqrt{b \,x^{2}+a}\, b}+\frac{A \,x^{2}}{\sqrt{b \,x^{2}+a}\, b}+\frac{3 B a x}{2 \sqrt{b \,x^{2}+a}\, b^{2}}-\frac{3 B a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{5}{2}}}+\frac{2 A a}{\sqrt{b \,x^{2}+a}\, b^{2}}"," ",0,"1/2*B*x^3/b/(b*x^2+a)^(1/2)+3/2*B*a/b^2*x/(b*x^2+a)^(1/2)-3/2*B*a/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+A*x^2/b/(b*x^2+a)^(1/2)+2*A*a/b^2/(b*x^2+a)^(1/2)","A"
30,1,72,56,0.007000," ","int(x^2*(B*x+A)/(b*x^2+a)^(3/2),x)","\frac{B \,x^{2}}{\sqrt{b \,x^{2}+a}\, b}-\frac{A x}{\sqrt{b \,x^{2}+a}\, b}+\frac{A \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{3}{2}}}+\frac{2 B a}{\sqrt{b \,x^{2}+a}\, b^{2}}"," ",0,"B*x^2/b/(b*x^2+a)^(1/2)+2*B*a/b^2/(b*x^2+a)^(1/2)-A*x/b/(b*x^2+a)^(1/2)+A/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
31,1,54,42,0.007000," ","int(x*(B*x+A)/(b*x^2+a)^(3/2),x)","-\frac{B x}{\sqrt{b \,x^{2}+a}\, b}+\frac{B \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{3}{2}}}-\frac{A}{\sqrt{b \,x^{2}+a}\, b}"," ",0,"-B*x/b/(b*x^2+a)^(1/2)+B/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-A/b/(b*x^2+a)^(1/2)","A"
32,1,26,25,0.003000," ","int((B*x+A)/(b*x^2+a)^(3/2),x)","\frac{A b x -B a}{\sqrt{b \,x^{2}+a}\, a b}"," ",0,"(A*b*x-B*a)/a/b/(b*x^2+a)^(1/2)","A"
33,1,60,39,0.009000," ","int((B*x+A)/x/(b*x^2+a)^(3/2),x)","\frac{B x}{\sqrt{b \,x^{2}+a}\, a}-\frac{A \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{A}{\sqrt{b \,x^{2}+a}\, a}"," ",0,"B*x/a/(b*x^2+a)^(1/2)+A/a/(b*x^2+a)^(1/2)-A/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
34,1,80,60,0.009000," ","int((B*x+A)/x^2/(b*x^2+a)^(3/2),x)","-\frac{2 A b x}{\sqrt{b \,x^{2}+a}\, a^{2}}-\frac{B \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{3}{2}}}+\frac{B}{\sqrt{b \,x^{2}+a}\, a}-\frac{A}{\sqrt{b \,x^{2}+a}\, a x}"," ",0,"-A/a/x/(b*x^2+a)^(1/2)-2*A*b/a^2*x/(b*x^2+a)^(1/2)+B/a/(b*x^2+a)^(1/2)-B/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
35,1,101,79,0.010000," ","int((B*x+A)/x^3/(b*x^2+a)^(3/2),x)","-\frac{2 B b x}{\sqrt{b \,x^{2}+a}\, a^{2}}+\frac{3 A b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{5}{2}}}-\frac{3 A b}{2 \sqrt{b \,x^{2}+a}\, a^{2}}-\frac{B}{\sqrt{b \,x^{2}+a}\, a x}-\frac{A}{2 \sqrt{b \,x^{2}+a}\, a \,x^{2}}"," ",0,"-1/2*A/a/x^2/(b*x^2+a)^(1/2)-3/2*A/a^2*b/(b*x^2+a)^(1/2)+3/2*A/a^(5/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-B/a/x/(b*x^2+a)^(1/2)-2*B*b/a^2*x/(b*x^2+a)^(1/2)","A"
36,1,91,65,0.010000," ","int(x^3*(B*x+A)/(b*x^2+a)^(5/2),x)","-\frac{B \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b}-\frac{A \,x^{2}}{\left(b \,x^{2}+a \right)^{\frac{3}{2}} b}-\frac{2 A a}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{2}}-\frac{B x}{\sqrt{b \,x^{2}+a}\, b^{2}}+\frac{B \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{5}{2}}}"," ",0,"-1/3*B*x^3/b/(b*x^2+a)^(3/2)-B/b^2*x/(b*x^2+a)^(1/2)+B/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-A*x^2/b/(b*x^2+a)^(3/2)-2/3*A*a/b^2/(b*x^2+a)^(3/2)","A"
37,1,41,45,0.006000," ","int(x^2*(B*x+A)/(b*x^2+a)^(5/2),x)","\frac{A \,x^{3} b^{2}-3 B a b \,x^{2}-2 B \,a^{2}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}"," ",0,"1/3*(A*b^2*x^3-3*B*a*b*x^2-2*B*a^2)/(b*x^2+a)^(3/2)/a/b^2","A"
38,1,29,42,0.003000," ","int(x*(B*x+A)/(b*x^2+a)^(5/2),x)","-\frac{-B b \,x^{3}+A a}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a b}"," ",0,"-1/3*(-B*b*x^3+A*a)/(b*x^2+a)^(3/2)/a/b","A"
39,1,40,43,0.004000," ","int((B*x+A)/(b*x^2+a)^(5/2),x)","\frac{2 A \,x^{3} b^{2}+3 A x a b -B \,a^{2}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}"," ",0,"1/3*(2*A*b^2*x^3+3*A*a*b*x-B*a^2)/(b*x^2+a)^(3/2)/a^2/b","A"
40,1,92,62,0.008000," ","int((B*x+A)/x/(b*x^2+a)^(5/2),x)","\frac{B x}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a}+\frac{A}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a}+\frac{2 B x}{3 \sqrt{b \,x^{2}+a}\, a^{2}}-\frac{A \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}+\frac{A}{\sqrt{b \,x^{2}+a}\, a^{2}}"," ",0,"1/3*B*x/a/(b*x^2+a)^(3/2)+2/3*B/a^2*x/(b*x^2+a)^(1/2)+1/3*A/a/(b*x^2+a)^(3/2)+A/a^2/(b*x^2+a)^(1/2)-A/a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
41,1,112,86,0.010000," ","int((B*x+A)/x^2/(b*x^2+a)^(5/2),x)","-\frac{4 A b x}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{8 A b x}{3 \sqrt{b \,x^{2}+a}\, a^{3}}+\frac{B}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a}-\frac{B \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{5}{2}}}-\frac{A}{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a x}+\frac{B}{\sqrt{b \,x^{2}+a}\, a^{2}}"," ",0,"-A/a/x/(b*x^2+a)^(3/2)-4/3*A/a^2*b*x/(b*x^2+a)^(3/2)-8/3*A/a^3*b*x/(b*x^2+a)^(1/2)+1/3*B/a/(b*x^2+a)^(3/2)+B/a^2/(b*x^2+a)^(1/2)-B/a^(5/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
42,1,134,105,0.011000," ","int((B*x+A)/x^3/(b*x^2+a)^(5/2),x)","-\frac{4 B b x}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{5 A b}{6 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}-\frac{8 B b x}{3 \sqrt{b \,x^{2}+a}\, a^{3}}+\frac{5 A b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{7}{2}}}-\frac{5 A b}{2 \sqrt{b \,x^{2}+a}\, a^{3}}-\frac{B}{\left(b \,x^{2}+a \right)^{\frac{3}{2}} a x}-\frac{A}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,x^{2}}"," ",0,"-1/2*A/a/x^2/(b*x^2+a)^(3/2)-5/6*A/a^2*b/(b*x^2+a)^(3/2)-5/2*A/a^3*b/(b*x^2+a)^(1/2)+5/2*A/a^(7/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-B/a/x/(b*x^2+a)^(3/2)-4/3*B/a^2*b*x/(b*x^2+a)^(3/2)-8/3*B/a^3*b*x/(b*x^2+a)^(1/2)","A"
43,1,29,21,0.008000," ","int((1-x)*x/(-x^2+1)^(1/2),x)","\frac{\sqrt{-x^{2}+1}\, x}{2}-\frac{\arcsin \left(x \right)}{2}-\sqrt{-x^{2}+1}"," ",0,"1/2*x*(-x^2+1)^(1/2)-1/2*arcsin(x)-(-x^2+1)^(1/2)","A"
44,1,29,21,0.005000," ","int((-x^2+x)/(-x^2+1)^(1/2),x)","\frac{\sqrt{-x^{2}+1}\, x}{2}-\frac{\arcsin \left(x \right)}{2}-\sqrt{-x^{2}+1}"," ",0,"1/2*(-x^2+1)^(1/2)*x-1/2*arcsin(x)-(-x^2+1)^(1/2)","A"
45,1,15,14,0.003000," ","int((x^2+3)/(x^2-3),x)","x -2 \sqrt{3}\, \arctanh \left(\frac{\sqrt{3}\, x}{3}\right)"," ",0,"x-2*arctanh(1/3*x*3^(1/2))*3^(1/2)","A"
46,1,7,6,0.003000," ","int((x^2-1)/(x^2+1),x)","x -2 \arctan \left(x \right)"," ",0,"x-2*arctan(x)","A"
47,1,265,187,0.048000," ","int(x^7*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","\frac{C \,x^{8}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{B \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{A \,x^{6}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{8 C a \,x^{6}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{2 A a \,x^{4}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{B \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{16 C \,a^{2} x^{4}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{8 A \,a^{2} x^{2}}{5 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}+\frac{64 C \,a^{3} x^{2}}{5 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}-\frac{B \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}-\frac{16 A \,a^{3}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}+\frac{128 C \,a^{4}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{5}}-\frac{B x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{B \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}"," ",0,"C*x^8/b/(b*x^2+a)^(7/2)+8*C*a/b^2*x^6/(b*x^2+a)^(7/2)+16*C*a^2/b^3*x^4/(b*x^2+a)^(7/2)+64/5*C*a^3/b^4*x^2/(b*x^2+a)^(7/2)+128/35*C*a^4/b^5/(b*x^2+a)^(7/2)-1/7*B*x^7/b/(b*x^2+a)^(7/2)-1/5*B/b^2*x^5/(b*x^2+a)^(5/2)-1/3*B/b^3*x^3/(b*x^2+a)^(3/2)-B/b^4*x/(b*x^2+a)^(1/2)+B/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-A*x^6/b/(b*x^2+a)^(7/2)-2*A*a/b^2*x^4/(b*x^2+a)^(7/2)-8/5*A*a^2/b^3*x^2/(b*x^2+a)^(7/2)-16/35*A*a^3/b^4/(b*x^2+a)^(7/2)","A"
48,1,277,128,0.013000," ","int(x^6*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","-\frac{C \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{B \,x^{6}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{A \,x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{2 B a \,x^{4}}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{C \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}-\frac{5 A a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{8 B \,a^{2} x^{2}}{5 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{15 A \,a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{C \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{3 A a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}-\frac{16 B \,a^{3}}{35 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}+\frac{A x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{A x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{C x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{C \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/7*C*x^7/b/(b*x^2+a)^(7/2)-1/5*C/b^2*x^5/(b*x^2+a)^(5/2)-1/3*C/b^3*x^3/(b*x^2+a)^(3/2)-C/b^4*x/(b*x^2+a)^(1/2)+C/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-B*x^6/b/(b*x^2+a)^(7/2)-2*B*a/b^2*x^4/(b*x^2+a)^(7/2)-8/5*B*a^2/b^3*x^2/(b*x^2+a)^(7/2)-16/35*B*a^3/b^4/(b*x^2+a)^(7/2)-1/2*A*x^5/b/(b*x^2+a)^(7/2)-5/8*A*a/b^2*x^3/(b*x^2+a)^(7/2)-15/56*A*a^2/b^3*x/(b*x^2+a)^(7/2)+3/56*A*a/b^3*x/(b*x^2+a)^(5/2)+1/14*A/b^3*x/(b*x^2+a)^(3/2)+1/7*A/a/b^3*x/(b*x^2+a)^(1/2)","B"
49,1,95,116,0.005000," ","int(x^5*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","-\frac{-15 B \,x^{7} b^{4}+105 C \,x^{6} a \,b^{3}+35 A a \,b^{3} x^{4}+210 C \,a^{2} b^{2} x^{4}+28 A \,a^{2} b^{2} x^{2}+168 C \,a^{3} b \,x^{2}+8 A \,a^{3} b +48 C \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a \,b^{4}}"," ",0,"-1/105*(-15*B*b^4*x^7+105*C*a*b^3*x^6+35*A*a*b^3*x^4+210*C*a^2*b^2*x^4+28*A*a^2*b^2*x^2+168*C*a^3*b*x^2+8*A*a^3*b+48*C*a^4)/(b*x^2+a)^(7/2)/a/b^4","A"
50,1,76,133,0.008000," ","int(x^4*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","\frac{6 A \,b^{4} x^{7}+15 C a \,b^{3} x^{7}+21 A \,x^{5} a \,b^{3}-35 B \,a^{2} b^{2} x^{4}-28 B \,a^{3} b \,x^{2}-8 B \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2} b^{3}}"," ",0,"1/105*(6*A*b^4*x^7+15*C*a*b^3*x^7+21*A*a*b^3*x^5-35*B*a^2*b^2*x^4-28*B*a^3*b*x^2-8*B*a^4)/(b*x^2+a)^(7/2)/a^2/b^3","A"
51,1,85,120,0.008000," ","int(x^3*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","-\frac{-6 B \,x^{7} b^{4}-21 B \,x^{5} a \,b^{3}+35 C \,a^{2} b^{2} x^{4}+21 A \,a^{2} b^{2} x^{2}+28 C \,a^{3} b \,x^{2}+6 A \,a^{3} b +8 C \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2} b^{3}}"," ",0,"-1/105*(-6*B*b^4*x^7-21*B*a*b^3*x^5+35*C*a^2*b^2*x^4+21*A*a^2*b^2*x^2+28*C*a^3*b*x^2+6*A*a^3*b+8*C*a^4)/(b*x^2+a)^(7/2)/a^2/b^3","A"
52,1,88,124,0.008000," ","int(x^2*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","\frac{8 A \,b^{4} x^{7}+6 C a \,b^{3} x^{7}+28 A \,x^{5} a \,b^{3}+21 C \,a^{2} b^{2} x^{5}+35 A \,x^{3} a^{2} b^{2}-21 B \,a^{3} b \,x^{2}-6 B \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{3} b^{2}}"," ",0,"1/105*(8*A*b^4*x^7+6*C*a*b^3*x^7+28*A*a*b^3*x^5+21*C*a^2*b^2*x^5+35*A*a^2*b^2*x^3-21*B*a^3*b*x^2-6*B*a^4)/(b*x^2+a)^(7/2)/a^3/b^2","A"
53,1,73,102,0.005000," ","int(x*(C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","-\frac{-8 B \,x^{7} b^{4}-28 B \,x^{5} a \,b^{3}-35 B \,x^{3} a^{2} b^{2}+21 C \,a^{3} b \,x^{2}+15 A \,a^{3} b +6 C \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{3} b^{2}}"," ",0,"-1/105*(-8*B*b^4*x^7-28*B*a*b^3*x^5-35*B*a^2*b^2*x^3+21*C*a^3*b*x^2+15*A*a^3*b+6*C*a^4)/(b*x^2+a)^(7/2)/a^3/b^2","A"
54,1,96,111,0.007000," ","int((C*x^2+B*x+A)/(b*x^2+a)^(9/2),x)","\frac{48 A \,b^{4} x^{7}+8 C a \,b^{3} x^{7}+168 A \,x^{5} a \,b^{3}+28 C \,a^{2} b^{2} x^{5}+210 A \,x^{3} a^{2} b^{2}+35 C \,a^{3} b \,x^{3}+105 A x \,a^{3} b -15 B \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{4} b}"," ",0,"1/105*(48*A*b^4*x^7+8*C*a*b^3*x^7+168*A*a*b^3*x^5+28*C*a^2*b^2*x^5+210*A*a^2*b^2*x^3+35*C*a^3*b*x^3+105*A*a^3*b*x-15*B*a^4)/(b*x^2+a)^(7/2)/a^4/b","A"
55,1,169,116,0.012000," ","int((C*x^2+B*x+A)/x/(b*x^2+a)^(9/2),x)","\frac{B x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}+\frac{A}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}+\frac{6 B x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}-\frac{C}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{A}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}+\frac{8 B x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}+\frac{A}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}+\frac{16 B x}{35 \sqrt{b \,x^{2}+a}\, a^{4}}-\frac{A \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{9}{2}}}+\frac{A}{\sqrt{b \,x^{2}+a}\, a^{4}}"," ",0,"-1/7*C/b/(b*x^2+a)^(7/2)+1/7*B*x/a/(b*x^2+a)^(7/2)+6/35*B/a^2*x/(b*x^2+a)^(5/2)+8/35*B/a^3*x/(b*x^2+a)^(3/2)+16/35*B/a^4*x/(b*x^2+a)^(1/2)+1/7*A/a/(b*x^2+a)^(7/2)+1/5*A/a^2/(b*x^2+a)^(5/2)+1/3*A/a^3/(b*x^2+a)^(3/2)+A/a^4/(b*x^2+a)^(1/2)-A/a^(9/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
56,1,240,164,0.012000," ","int((C*x^2+B*x+A)/x^2/(b*x^2+a)^(9/2),x)","-\frac{8 A b x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2}}+\frac{C x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}-\frac{48 A b x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{3}}+\frac{B}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}+\frac{6 C x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}-\frac{A}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} a x}-\frac{64 A b x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4}}+\frac{B}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}+\frac{8 C x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}-\frac{128 A b x}{35 \sqrt{b \,x^{2}+a}\, a^{5}}+\frac{B}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}+\frac{16 C x}{35 \sqrt{b \,x^{2}+a}\, a^{4}}-\frac{B \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{9}{2}}}+\frac{B}{\sqrt{b \,x^{2}+a}\, a^{4}}"," ",0,"1/7*C*x/a/(b*x^2+a)^(7/2)+6/35*C/a^2*x/(b*x^2+a)^(5/2)+8/35*C/a^3*x/(b*x^2+a)^(3/2)+16/35*C/a^4*x/(b*x^2+a)^(1/2)-A/a/x/(b*x^2+a)^(7/2)-8/7*A/a^2*b*x/(b*x^2+a)^(7/2)-48/35*A/a^3*b*x/(b*x^2+a)^(5/2)-64/35*A/a^4*b*x/(b*x^2+a)^(3/2)-128/35*A/a^5*b*x/(b*x^2+a)^(1/2)+1/7*B/a/(b*x^2+a)^(7/2)+1/5*B/a^2/(b*x^2+a)^(5/2)+1/3*B/a^3/(b*x^2+a)^(3/2)+B/a^4/(b*x^2+a)^(1/2)-B/a^(9/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
57,1,288,182,0.015000," ","int((C*x^2+B*x+A)/x^3/(b*x^2+a)^(9/2),x)","-\frac{8 B b x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2}}-\frac{9 A b}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{2}}-\frac{48 B b x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{3}}+\frac{C}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}-\frac{9 A b}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{3}}-\frac{B}{\left(b \,x^{2}+a \right)^{\frac{7}{2}} a x}-\frac{64 B b x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4}}+\frac{C}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}-\frac{A}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a \,x^{2}}-\frac{3 A b}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{4}}-\frac{128 B b x}{35 \sqrt{b \,x^{2}+a}\, a^{5}}+\frac{C}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}+\frac{9 A b \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{11}{2}}}-\frac{C \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{a^{\frac{9}{2}}}-\frac{9 A b}{2 \sqrt{b \,x^{2}+a}\, a^{5}}+\frac{C}{\sqrt{b \,x^{2}+a}\, a^{4}}"," ",0,"-1/2*A/a/x^2/(b*x^2+a)^(7/2)-9/14*A/a^2*b/(b*x^2+a)^(7/2)-9/10*A/a^3*b/(b*x^2+a)^(5/2)-3/2*A/a^4*b/(b*x^2+a)^(3/2)-9/2*A/a^5*b/(b*x^2+a)^(1/2)+9/2*A/a^(11/2)*b*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-B/a/x/(b*x^2+a)^(7/2)-8/7*B/a^2*b*x/(b*x^2+a)^(7/2)-48/35*B/a^3*b*x/(b*x^2+a)^(5/2)-64/35*B/a^4*b*x/(b*x^2+a)^(3/2)-128/35*B/a^5*b*x/(b*x^2+a)^(1/2)+1/7*C/a/(b*x^2+a)^(7/2)+1/5*C/a^2/(b*x^2+a)^(5/2)+1/3*C/a^3/(b*x^2+a)^(3/2)+C/a^4/(b*x^2+a)^(1/2)-C/a^(9/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
58,0,0,43,0.071000," ","int(A*(c*x)^m/(b*x^2+a),x)","\int \frac{A \left(c x \right)^{m}}{b \,x^{2}+a}\, dx"," ",0,"int(A*(c*x)^m/(b*x^2+a),x)","F"
59,0,0,87,0.067000," ","int((c*x)^m*(B*x+A)/(b*x^2+a),x)","\int \frac{\left(B x +A \right) \left(c x \right)^{m}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^m*(B*x+A)/(b*x^2+a),x)","F"
60,0,0,74,0.067000," ","int((c*x)^m*(C*x^2+A)/(b*x^2+a),x)","\int \frac{\left(C \,x^{2}+A \right) \left(c x \right)^{m}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^m*(C*x^2+A)/(b*x^2+a),x)","F"
61,0,0,117,0.066000," ","int((c*x)^m*(C*x^2+B*x+A)/(b*x^2+a),x)","\int \frac{\left(C \,x^{2}+B x +A \right) \left(c x \right)^{m}}{b \,x^{2}+a}\, dx"," ",0,"int((c*x)^m*(C*x^2+B*x+A)/(b*x^2+a),x)","F"
62,1,54,53,0.003000," ","int(x^3*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x)","\frac{D b \,x^{9}}{9}+\frac{C b \,x^{8}}{8}+\frac{B a \,x^{5}}{5}+\frac{\left(b B +a D\right) x^{7}}{7}+\frac{A a \,x^{4}}{4}+\frac{\left(A b +a C \right) x^{6}}{6}"," ",0,"1/4*a*A*x^4+1/5*a*B*x^5+1/6*(A*b+C*a)*x^6+1/7*(B*b+D*a)*x^7+1/8*b*C*x^8+1/9*b*D*x^9","A"
63,1,54,53,0.002000," ","int(x^2*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x)","\frac{D b \,x^{8}}{8}+\frac{C b \,x^{7}}{7}+\frac{B a \,x^{4}}{4}+\frac{\left(b B +a D\right) x^{6}}{6}+\frac{A a \,x^{3}}{3}+\frac{\left(A b +a C \right) x^{5}}{5}"," ",0,"1/3*A*a*x^3+1/4*a*B*x^4+1/5*(A*b+C*a)*x^5+1/6*(B*b+D*a)*x^6+1/7*b*C*x^7+1/8*b*D*x^8","A"
64,1,54,53,0.003000," ","int(x*(b*x^2+a)*(D*x^3+C*x^2+B*x+A),x)","\frac{D b \,x^{7}}{7}+\frac{C b \,x^{6}}{6}+\frac{B a \,x^{3}}{3}+\frac{\left(b B +a D\right) x^{5}}{5}+\frac{A a \,x^{2}}{2}+\frac{\left(A b +a C \right) x^{4}}{4}"," ",0,"1/2*a*A*x^2+1/3*a*B*x^3+1/4*(A*b+C*a)*x^4+1/5*(B*b+D*a)*x^5+1/6*b*C*x^6+1/7*b*D*x^7","A"
65,1,51,50,0.000000," ","int((b*x^2+a)*(D*x^3+C*x^2+B*x+A),x)","\frac{D b \,x^{6}}{6}+\frac{C b \,x^{5}}{5}+\frac{B a \,x^{2}}{2}+\frac{\left(b B +a D\right) x^{4}}{4}+A a x +\frac{\left(A b +a C \right) x^{3}}{3}"," ",0,"A*a*x+1/2*B*a*x^2+1/3*(A*b+C*a)*x^3+1/4*(B*b+D*a)*x^4+1/5*b*C*x^5+1/6*b*D*x^6","A"
66,1,53,48,0.003000," ","int((b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x,x)","\frac{D b \,x^{5}}{5}+\frac{C b \,x^{4}}{4}+\frac{B b \,x^{3}}{3}+\frac{D a \,x^{3}}{3}+\frac{A b \,x^{2}}{2}+\frac{C a \,x^{2}}{2}+A a \ln \left(x \right)+B a x"," ",0,"1/5*b*D*x^5+1/4*b*C*x^4+1/3*B*b*x^3+1/3*D*x^3*a+1/2*A*x^2*b+1/2*C*x^2*a+a*B*x+a*A*ln(x)","A"
67,1,50,48,0.006000," ","int((b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^2,x)","\frac{D b \,x^{4}}{4}+\frac{C b \,x^{3}}{3}+\frac{B b \,x^{2}}{2}+\frac{D a \,x^{2}}{2}+A b x +B a \ln \left(x \right)+C a x -\frac{A a}{x}"," ",0,"1/4*b*D*x^4+1/3*b*C*x^3+1/2*B*x^2*b+1/2*D*x^2*a+A*b*x+a*C*x-a*A/x+a*B*ln(x)","A"
68,1,48,48,0.007000," ","int((b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^3,x)","\frac{D b \,x^{3}}{3}+\frac{C b \,x^{2}}{2}+A b \ln \left(x \right)+B b x +C a \ln \left(x \right)+D a x -\frac{B a}{x}-\frac{A a}{2 x^{2}}"," ",0,"1/3*b*D*x^3+1/2*b*C*x^2+B*b*x+a*D*x-1/2*a*A/x^2-a*B/x+A*ln(x)*b+C*ln(x)*a","A"
69,1,51,49,0.004000," ","int((b*x^2+a)*(D*x^3+C*x^2+B*x+A)/x^4,x)","\frac{D b \,x^{2}}{2}+B b \ln \left(x \right)+C b x +D a \ln \left(x \right)-\frac{A b}{x}-\frac{C a}{x}-\frac{B a}{2 x^{2}}-\frac{A a}{3 x^{3}}"," ",0,"1/2*b*D*x^2+b*C*x-1/3*A*a/x^3-1/2*B*a/x^2-1/x*A*b-1/x*a*C+B*b*ln(x)+D*ln(x)*a","A"
70,1,102,93,0.001000," ","int(x^3*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{2} x^{11}}{11}+\frac{C \,b^{2} x^{10}}{10}+\frac{\left(b^{2} B +2 a b D\right) x^{9}}{9}+\frac{B \,a^{2} x^{5}}{5}+\frac{\left(b^{2} A +2 a b C \right) x^{8}}{8}+\frac{A \,a^{2} x^{4}}{4}+\frac{\left(2 a b B +a^{2} D\right) x^{7}}{7}+\frac{\left(2 A a b +a^{2} C \right) x^{6}}{6}"," ",0,"1/11*b^2*D*x^11+1/10*b^2*C*x^10+1/9*(B*b^2+2*D*a*b)*x^9+1/8*(A*b^2+2*C*a*b)*x^8+1/7*(2*B*a*b+D*a^2)*x^7+1/6*(2*A*a*b+C*a^2)*x^6+1/5*a^2*B*x^5+1/4*a^2*A*x^4","A"
71,1,102,93,0.001000," ","int(x^2*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{2} x^{10}}{10}+\frac{C \,b^{2} x^{9}}{9}+\frac{\left(b^{2} B +2 a b D\right) x^{8}}{8}+\frac{B \,a^{2} x^{4}}{4}+\frac{\left(b^{2} A +2 a b C \right) x^{7}}{7}+\frac{A \,a^{2} x^{3}}{3}+\frac{\left(2 a b B +a^{2} D\right) x^{6}}{6}+\frac{\left(2 A a b +a^{2} C \right) x^{5}}{5}"," ",0,"1/10*b^2*D*x^10+1/9*b^2*C*x^9+1/8*(B*b^2+2*D*a*b)*x^8+1/7*(A*b^2+2*C*a*b)*x^7+1/6*(2*B*a*b+D*a^2)*x^6+1/5*(2*A*a*b+C*a^2)*x^5+1/4*a^2*B*x^4+1/3*A*a^2*x^3","A"
72,1,102,88,0.002000," ","int(x*(b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{2} x^{9}}{9}+\frac{C \,b^{2} x^{8}}{8}+\frac{\left(b^{2} B +2 a b D\right) x^{7}}{7}+\frac{B \,a^{2} x^{3}}{3}+\frac{\left(b^{2} A +2 a b C \right) x^{6}}{6}+\frac{A \,a^{2} x^{2}}{2}+\frac{\left(2 a b B +a^{2} D\right) x^{5}}{5}+\frac{\left(2 A a b +a^{2} C \right) x^{4}}{4}"," ",0,"1/9*b^2*D*x^9+1/8*b^2*C*x^8+1/7*(B*b^2+2*D*a*b)*x^7+1/6*(A*b^2+2*C*a*b)*x^6+1/5*(2*B*a*b+D*a^2)*x^5+1/4*(2*A*a*b+C*a^2)*x^4+1/3*a^2*B*x^3+1/2*a^2*A*x^2","A"
73,1,99,85,0.002000," ","int((b*x^2+a)^2*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{2} x^{8}}{8}+\frac{C \,b^{2} x^{7}}{7}+\frac{\left(b^{2} B +2 a b D\right) x^{6}}{6}+\frac{B \,a^{2} x^{2}}{2}+\frac{\left(b^{2} A +2 a b C \right) x^{5}}{5}+A \,a^{2} x +\frac{\left(2 a b B +a^{2} D\right) x^{4}}{4}+\frac{\left(2 A a b +a^{2} C \right) x^{3}}{3}"," ",0,"1/8*b^2*D*x^8+1/7*b^2*C*x^7+1/6*(B*b^2+2*D*a*b)*x^6+1/5*(A*b^2+2*C*a*b)*x^5+1/4*(2*B*a*b+D*a^2)*x^4+1/3*(2*A*a*b+C*a^2)*x^3+1/2*B*a^2*x^2+a^2*A*x","A"
74,1,100,82,0.003000," ","int((b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x,x)","\frac{D b^{2} x^{7}}{7}+\frac{C \,b^{2} x^{6}}{6}+\frac{B \,b^{2} x^{5}}{5}+\frac{2 D a b \,x^{5}}{5}+\frac{A \,b^{2} x^{4}}{4}+\frac{C a b \,x^{4}}{2}+\frac{2 B a b \,x^{3}}{3}+\frac{D a^{2} x^{3}}{3}+A a b \,x^{2}+\frac{C \,a^{2} x^{2}}{2}+A \,a^{2} \ln \left(x \right)+B \,a^{2} x"," ",0,"1/7*b^2*D*x^7+1/6*C*b^2*x^6+1/5*B*b^2*x^5+2/5*D*x^5*a*b+1/4*A*b^2*x^4+1/2*C*x^4*a*b+2/3*B*x^3*a*b+1/3*D*x^3*a^2+A*a*b*x^2+1/2*C*x^2*a^2+B*a^2*x+a^2*A*ln(x)","A"
75,1,98,82,0.007000," ","int((b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x^2,x)","\frac{D b^{2} x^{6}}{6}+\frac{C \,b^{2} x^{5}}{5}+\frac{B \,b^{2} x^{4}}{4}+\frac{D a b \,x^{4}}{2}+\frac{A \,b^{2} x^{3}}{3}+\frac{2 C a b \,x^{3}}{3}+B a b \,x^{2}+\frac{D a^{2} x^{2}}{2}+2 A a b x +B \,a^{2} \ln \left(x \right)+C \,a^{2} x -\frac{A \,a^{2}}{x}"," ",0,"1/6*D*b^2*x^6+1/5*b^2*C*x^5+1/4*B*b^2*x^4+1/2*D*x^4*a*b+1/3*A*x^3*b^2+2/3*C*x^3*a*b+B*a*b*x^2+1/2*D*x^2*a^2+2*A*a*b*x+a^2*C*x-A*a^2/x+a^2*B*ln(x)","A"
76,1,97,88,0.007000," ","int((b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x^3,x)","\frac{D b^{2} x^{5}}{5}+\frac{C \,b^{2} x^{4}}{4}+\frac{B \,b^{2} x^{3}}{3}+\frac{2 D a b \,x^{3}}{3}+\frac{A \,b^{2} x^{2}}{2}+C a b \,x^{2}+2 A a b \ln \left(x \right)+2 B a b x +C \,a^{2} \ln \left(x \right)+D a^{2} x -\frac{B \,a^{2}}{x}-\frac{A \,a^{2}}{2 x^{2}}"," ",0,"1/5*b^2*D*x^5+1/4*b^2*C*x^4+1/3*B*x^3*b^2+2/3*D*x^3*a*b+1/2*A*b^2*x^2+C*x^2*a*b+2*B*x*a*b+a^2*D*x-1/2*a^2*A/x^2-a^2*B/x+2*A*ln(x)*a*b+C*ln(x)*a^2","A"
77,1,97,88,0.007000," ","int((b*x^2+a)^2*(D*x^3+C*x^2+B*x+A)/x^4,x)","\frac{D b^{2} x^{4}}{4}+\frac{C \,b^{2} x^{3}}{3}+\frac{B \,b^{2} x^{2}}{2}+D a b \,x^{2}+A \,b^{2} x +2 B a b \ln \left(x \right)+2 C a b x +D a^{2} \ln \left(x \right)-\frac{2 A a b}{x}-\frac{C \,a^{2}}{x}-\frac{B \,a^{2}}{2 x^{2}}-\frac{A \,a^{2}}{3 x^{3}}"," ",0,"1/4*b^2*D*x^4+1/3*b^2*C*x^3+1/2*B*b^2*x^2+D*x^2*a*b+A*x*b^2+2*a*b*C*x-1/3*a^2*A/x^3-1/2*B*a^2/x^2-2*a/x*A*b-a^2/x*C+2*B*a*b*ln(x)+D*ln(x)*a^2","A"
78,1,150,129,0.002000," ","int(x^3*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{3} x^{13}}{13}+\frac{C \,b^{3} x^{12}}{12}+\frac{\left(b^{3} B +3 a \,b^{2} D\right) x^{11}}{11}+\frac{\left(A \,b^{3}+3 a \,b^{2} C \right) x^{10}}{10}+\frac{B \,a^{3} x^{5}}{5}+\frac{\left(3 a \,b^{2} B +3 a^{2} b D\right) x^{9}}{9}+\frac{A \,a^{3} x^{4}}{4}+\frac{\left(3 a \,b^{2} A +3 a^{2} b C \right) x^{8}}{8}+\frac{\left(3 a^{2} b B +a^{3} D\right) x^{7}}{7}+\frac{\left(3 A \,a^{2} b +a^{3} C \right) x^{6}}{6}"," ",0,"1/13*b^3*D*x^13+1/12*b^3*C*x^12+1/11*(B*b^3+3*D*a*b^2)*x^11+1/10*(A*b^3+3*C*a*b^2)*x^10+1/9*(3*B*a*b^2+3*D*a^2*b)*x^9+1/8*(3*A*a*b^2+3*C*a^2*b)*x^8+1/7*(3*B*a^2*b+D*a^3)*x^7+1/6*(3*A*a^2*b+C*a^3)*x^6+1/5*a^3*B*x^5+1/4*a^3*A*x^4","A"
79,1,150,129,0.000000," ","int(x^2*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{3} x^{12}}{12}+\frac{C \,b^{3} x^{11}}{11}+\frac{\left(b^{3} B +3 a \,b^{2} D\right) x^{10}}{10}+\frac{\left(A \,b^{3}+3 a \,b^{2} C \right) x^{9}}{9}+\frac{B \,a^{3} x^{4}}{4}+\frac{\left(3 a \,b^{2} B +3 a^{2} b D\right) x^{8}}{8}+\frac{A \,a^{3} x^{3}}{3}+\frac{\left(3 a \,b^{2} A +3 a^{2} b C \right) x^{7}}{7}+\frac{\left(3 a^{2} b B +a^{3} D\right) x^{6}}{6}+\frac{\left(3 A \,a^{2} b +a^{3} C \right) x^{5}}{5}"," ",0,"1/12*b^3*D*x^12+1/11*b^3*C*x^11+1/10*(B*b^3+3*D*a*b^2)*x^10+1/9*(A*b^3+3*C*a*b^2)*x^9+1/8*(3*B*a*b^2+3*D*a^2*b)*x^8+1/7*(3*A*a*b^2+3*C*a^2*b)*x^7+1/6*(3*B*a^2*b+D*a^3)*x^6+1/5*(3*A*a^2*b+C*a^3)*x^5+1/4*a^3*B*x^4+1/3*a^3*A*x^3","A"
80,1,150,118,0.002000," ","int(x*(b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{3} x^{11}}{11}+\frac{C \,b^{3} x^{10}}{10}+\frac{\left(b^{3} B +3 a \,b^{2} D\right) x^{9}}{9}+\frac{\left(A \,b^{3}+3 a \,b^{2} C \right) x^{8}}{8}+\frac{B \,a^{3} x^{3}}{3}+\frac{\left(3 a \,b^{2} B +3 a^{2} b D\right) x^{7}}{7}+\frac{A \,a^{3} x^{2}}{2}+\frac{\left(3 a \,b^{2} A +3 a^{2} b C \right) x^{6}}{6}+\frac{\left(3 a^{2} b B +a^{3} D\right) x^{5}}{5}+\frac{\left(3 A \,a^{2} b +a^{3} C \right) x^{4}}{4}"," ",0,"1/11*b^3*D*x^11+1/10*b^3*C*x^10+1/9*(B*b^3+3*D*a*b^2)*x^9+1/8*(A*b^3+3*C*a*b^2)*x^8+1/7*(3*B*a*b^2+3*D*a^2*b)*x^7+1/6*(3*A*a*b^2+3*C*a^2*b)*x^6+1/5*(3*B*a^2*b+D*a^3)*x^5+1/4*(3*A*a^2*b+C*a^3)*x^4+1/3*a^3*B*x^3+1/2*a^3*A*x^2","A"
81,1,147,115,0.001000," ","int((b*x^2+a)^3*(D*x^3+C*x^2+B*x+A),x)","\frac{D b^{3} x^{10}}{10}+\frac{C \,b^{3} x^{9}}{9}+\frac{\left(b^{3} B +3 a \,b^{2} D\right) x^{8}}{8}+\frac{\left(A \,b^{3}+3 a \,b^{2} C \right) x^{7}}{7}+\frac{B \,a^{3} x^{2}}{2}+\frac{\left(3 a \,b^{2} B +3 a^{2} b D\right) x^{6}}{6}+A \,a^{3} x +\frac{\left(3 a \,b^{2} A +3 a^{2} b C \right) x^{5}}{5}+\frac{\left(3 a^{2} b B +a^{3} D\right) x^{4}}{4}+\frac{\left(3 A \,a^{2} b +a^{3} C \right) x^{3}}{3}"," ",0,"1/10*b^3*D*x^10+1/9*b^3*C*x^9+1/8*(B*b^3+3*D*a*b^2)*x^8+1/7*(A*b^3+3*C*a*b^2)*x^7+1/6*(3*B*a*b^2+3*D*a^2*b)*x^6+1/5*(3*A*a*b^2+3*C*a^2*b)*x^5+1/4*(3*B*a^2*b+D*a^3)*x^4+1/3*(3*A*a^2*b+C*a^3)*x^3+1/2*a^3*B*x^2+a^3*A*x","A"
82,1,148,113,0.004000," ","int((b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x,x)","\frac{D b^{3} x^{9}}{9}+\frac{C \,b^{3} x^{8}}{8}+\frac{B \,b^{3} x^{7}}{7}+\frac{3 D a \,b^{2} x^{7}}{7}+\frac{A \,b^{3} x^{6}}{6}+\frac{C a \,b^{2} x^{6}}{2}+\frac{3 B a \,b^{2} x^{5}}{5}+\frac{3 D a^{2} b \,x^{5}}{5}+\frac{3 A a \,b^{2} x^{4}}{4}+\frac{3 C \,a^{2} b \,x^{4}}{4}+B \,a^{2} b \,x^{3}+\frac{D a^{3} x^{3}}{3}+\frac{3 A \,a^{2} b \,x^{2}}{2}+\frac{C \,a^{3} x^{2}}{2}+A \,a^{3} \ln \left(x \right)+B \,a^{3} x"," ",0,"1/9*b^3*D*x^9+1/8*C*b^3*x^8+1/7*B*x^7*b^3+3/7*D*x^7*a*b^2+1/6*A*b^3*x^6+1/2*C*x^6*a*b^2+3/5*B*x^5*a*b^2+3/5*D*x^5*a^2*b+3/4*a*A*b^2*x^4+3/4*C*x^4*a^2*b+B*x^3*a^2*b+1/3*D*x^3*a^3+3/2*a^2*A*b*x^2+1/2*C*x^2*a^3+a^3*B*x+a^3*A*ln(x)","A"
83,1,145,112,0.007000," ","int((b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^2,x)","\frac{D b^{3} x^{8}}{8}+\frac{C \,b^{3} x^{7}}{7}+\frac{B \,b^{3} x^{6}}{6}+\frac{D a \,b^{2} x^{6}}{2}+\frac{A \,b^{3} x^{5}}{5}+\frac{3 C a \,b^{2} x^{5}}{5}+\frac{3 B a \,b^{2} x^{4}}{4}+\frac{3 D a^{2} b \,x^{4}}{4}+A a \,b^{2} x^{3}+C \,a^{2} b \,x^{3}+\frac{3 B \,a^{2} b \,x^{2}}{2}+\frac{D a^{3} x^{2}}{2}+3 A \,a^{2} b x +B \,a^{3} \ln \left(x \right)+C \,a^{3} x -\frac{A \,a^{3}}{x}"," ",0,"1/8*D*b^3*x^8+1/7*b^3*C*x^7+1/6*B*b^3*x^6+1/2*D*x^6*a*b^2+1/5*A*x^5*b^3+3/5*C*x^5*a*b^2+3/4*B*a*b^2*x^4+3/4*D*x^4*a^2*b+A*x^3*a*b^2+C*x^3*a^2*b+3/2*B*a^2*b*x^2+1/2*D*x^2*a^3+3*A*a^2*b*x+a^3*C*x-a^3*A/x+a^3*B*ln(x)","A"
84,1,144,123,0.007000," ","int((b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^3,x)","\frac{D b^{3} x^{7}}{7}+\frac{C \,b^{3} x^{6}}{6}+\frac{B \,b^{3} x^{5}}{5}+\frac{3 D a \,b^{2} x^{5}}{5}+\frac{A \,b^{3} x^{4}}{4}+\frac{3 C a \,b^{2} x^{4}}{4}+B a \,b^{2} x^{3}+D a^{2} b \,x^{3}+\frac{3 A a \,b^{2} x^{2}}{2}+\frac{3 C \,a^{2} b \,x^{2}}{2}+3 A \,a^{2} b \ln \left(x \right)+3 B \,a^{2} b x +C \,a^{3} \ln \left(x \right)+D a^{3} x -\frac{B \,a^{3}}{x}-\frac{A \,a^{3}}{2 x^{2}}"," ",0,"1/7*b^3*D*x^7+1/6*b^3*C*x^6+1/5*B*x^5*b^3+3/5*D*x^5*a*b^2+1/4*A*b^3*x^4+3/4*C*x^4*a*b^2+B*a*b^2*x^3+D*x^3*a^2*b+3/2*A*a*b^2*x^2+3/2*C*x^2*a^2*b+3*B*a^2*b*x+a^3*D*x-1/2*a^3*A/x^2-a^3*B/x+3*A*ln(x)*a^2*b+C*ln(x)*a^3","A"
85,1,146,125,0.009000," ","int((b*x^2+a)^3*(D*x^3+C*x^2+B*x+A)/x^4,x)","\frac{D b^{3} x^{6}}{6}+\frac{C \,b^{3} x^{5}}{5}+\frac{B \,b^{3} x^{4}}{4}+\frac{3 D a \,b^{2} x^{4}}{4}+\frac{A \,b^{3} x^{3}}{3}+C a \,b^{2} x^{3}+\frac{3 B a \,b^{2} x^{2}}{2}+\frac{3 D a^{2} b \,x^{2}}{2}+3 A a \,b^{2} x +3 B \,a^{2} b \ln \left(x \right)+3 C \,a^{2} b x +D a^{3} \ln \left(x \right)-\frac{3 A \,a^{2} b}{x}-\frac{C \,a^{3}}{x}-\frac{B \,a^{3}}{2 x^{2}}-\frac{A \,a^{3}}{3 x^{3}}"," ",0,"1/6*b^3*D*x^6+1/5*b^3*C*x^5+1/4*B*x^4*b^3+3/4*D*x^4*a*b^2+1/3*A*b^3*x^3+C*x^3*a*b^2+3/2*B*x^2*a*b^2+3/2*D*x^2*a^2*b+3*A*a*b^2*x+3*a^2*b*C*x-1/3*a^3*A/x^3-1/2*a^3*B/x^2-3*a^2/x*A*b-a^3/x*C+3*B*ln(x)*a^2*b+D*ln(x)*a^3","A"
86,1,176,131,0.007000," ","int(x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x)","\frac{D x^{6}}{6 b}+\frac{C \,x^{5}}{5 b}+\frac{B \,x^{4}}{4 b}-\frac{D a \,x^{4}}{4 b^{2}}+\frac{A \,x^{3}}{3 b}-\frac{C a \,x^{3}}{3 b^{2}}+\frac{A \,a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{B a \,x^{2}}{2 b^{2}}-\frac{C \,a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{D a^{2} x^{2}}{2 b^{3}}-\frac{A a x}{b^{2}}+\frac{B \,a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{3}}+\frac{C \,a^{2} x}{b^{3}}-\frac{D a^{3} \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"1/6*D*x^6/b+1/5*C*x^5/b+1/4/b*B*x^4-1/4/b^2*D*x^4*a+1/3/b*A*x^3-1/3/b^2*C*x^3*a-1/2/b^2*B*x^2*a+1/2/b^3*D*x^2*a^2-1/b^2*A*a*x+1/b^3*a^2*C*x+1/2*a^2/b^3*ln(b*x^2+a)*B-1/2*a^3/b^4*ln(b*x^2+a)*D+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
87,1,152,112,0.006000," ","int(x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x)","\frac{D x^{5}}{5 b}+\frac{C \,x^{4}}{4 b}+\frac{B \,x^{3}}{3 b}-\frac{D a \,x^{3}}{3 b^{2}}+\frac{A \,x^{2}}{2 b}+\frac{B \,a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{C a \,x^{2}}{2 b^{2}}-\frac{D a^{3} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{A a \ln \left(b \,x^{2}+a \right)}{2 b^{2}}-\frac{B a x}{b^{2}}+\frac{C \,a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{3}}+\frac{D a^{2} x}{b^{3}}"," ",0,"1/5*D*x^5/b+1/4*C*x^4/b+1/3*B/b*x^3-1/3/b^2*D*x^3*a+1/2/b*A*x^2-1/2/b^2*C*x^2*a-B*a/b^2*x+1/b^3*a^2*D*x-1/2*a/b^2*ln(b*x^2+a)*A+1/2*a^2/b^3*ln(b*x^2+a)*C+1/(a*b)^(1/2)*B*a^2/b^2*arctan(1/(a*b)^(1/2)*b*x)-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D","A"
88,1,128,95,0.005000," ","int(x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x)","\frac{D x^{4}}{4 b}+\frac{C \,x^{3}}{3 b}-\frac{A a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{B \,x^{2}}{2 b}+\frac{C \,a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{D a \,x^{2}}{2 b^{2}}+\frac{A x}{b}-\frac{B a \ln \left(b \,x^{2}+a \right)}{2 b^{2}}-\frac{C a x}{b^{2}}+\frac{D a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{3}}"," ",0,"1/4*D*x^4/b+1/3*C*x^3/b+1/2*B/b*x^2-1/2/b^2*D*x^2*a+A/b*x-1/b^2*a*C*x-1/2*B*a/b^2*ln(b*x^2+a)+1/2*a^2/b^3*ln(b*x^2+a)*D-1/(a*b)^(1/2)*A*a/b*arctan(1/(a*b)^(1/2)*b*x)+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
89,1,106,78,0.006000," ","int(x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a),x)","\frac{D x^{3}}{3 b}-\frac{B a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{C \,x^{2}}{2 b}+\frac{D a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{A \ln \left(b \,x^{2}+a \right)}{2 b}+\frac{B x}{b}-\frac{C a \ln \left(b \,x^{2}+a \right)}{2 b^{2}}-\frac{D a x}{b^{2}}"," ",0,"1/3*D*x^3/b+1/2*C*x^2/b+B/b*x-1/b^2*a*D*x+1/2*A/b*ln(b*x^2+a)-1/2/b^2*ln(b*x^2+a)*a*C-1/(a*b)^(1/2)*B*a/b*arctan(1/(a*b)^(1/2)*b*x)+1/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^2*D","A"
90,1,83,61,0.003000," ","int((D*x^3+C*x^2+B*x+A)/(b*x^2+a),x)","\frac{A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{C a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{D x^{2}}{2 b}+\frac{B \ln \left(b \,x^{2}+a \right)}{2 b}+\frac{C x}{b}-\frac{D a \ln \left(b \,x^{2}+a \right)}{2 b^{2}}"," ",0,"1/2*D*x^2/b+C*x/b+1/2*B/b*ln(b*x^2+a)-1/2/b^2*ln(b*x^2+a)*a*D+1/(a*b)^(1/2)*A*arctan(1/(a*b)^(1/2)*b*x)-1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*C","A"
91,1,80,62,0.007000," ","int((D*x^3+C*x^2+B*x+A)/x/(b*x^2+a),x)","\frac{B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{D a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{A \ln \left(x \right)}{a}-\frac{A \ln \left(b \,x^{2}+a \right)}{2 a}+\frac{C \ln \left(b \,x^{2}+a \right)}{2 b}+\frac{D x}{b}"," ",0,"D*x/b-1/2*A/a*ln(b*x^2+a)+1/2/b*ln(b*x^2+a)*C+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*B-a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D+A/a*ln(x)","A"
92,1,83,66,0.008000," ","int((D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a),x)","-\frac{A b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}+\frac{B \ln \left(x \right)}{a}-\frac{B \ln \left(b \,x^{2}+a \right)}{2 a}+\frac{D \ln \left(b \,x^{2}+a \right)}{2 b}-\frac{A}{a x}"," ",0,"-1/2*B/a*ln(b*x^2+a)+1/2/b*ln(b*x^2+a)*D-1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A*b+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C-A/a/x+B/a*ln(x)","A"
93,1,102,80,0.008000," ","int((D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a),x)","-\frac{B b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{A b \ln \left(x \right)}{a^{2}}+\frac{A b \ln \left(b \,x^{2}+a \right)}{2 a^{2}}+\frac{C \ln \left(x \right)}{a}-\frac{C \ln \left(b \,x^{2}+a \right)}{2 a}-\frac{B}{a x}-\frac{A}{2 a \,x^{2}}"," ",0,"1/2*A/a^2*b*ln(b*x^2+a)-1/2/a*ln(b*x^2+a)*C-1/(a*b)^(1/2)*B/a*b*arctan(1/(a*b)^(1/2)*b*x)+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D-1/2*A/a/x^2-B/a/x-A/a^2*b*ln(x)+1/a*ln(x)*C","A"
94,1,201,154,0.011000," ","int(x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x)","\frac{D x^{4}}{4 b^{2}}+\frac{C \,x^{3}}{3 b^{2}}+\frac{A a x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 A a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{B \,x^{2}}{2 b^{2}}-\frac{C \,a^{2} x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 C \,a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}-\frac{D a \,x^{2}}{b^{3}}+\frac{A x}{b^{2}}-\frac{B \,a^{2}}{2 \left(b \,x^{2}+a \right) b^{3}}-\frac{B a \ln \left(b \,x^{2}+a \right)}{b^{3}}-\frac{2 C a x}{b^{3}}+\frac{D a^{3}}{2 \left(b \,x^{2}+a \right) b^{4}}+\frac{3 D a^{2} \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"1/4*D*x^4/b^2+1/3/b^2*C*x^3+1/2*B/b^2*x^2-1/b^3*D*x^2*a+1/b^2*A*x-2/b^3*a*C*x+1/2*a/b^2/(b*x^2+a)*A*x-1/2*a^2/b^3/(b*x^2+a)*C*x-1/2/(b*x^2+a)*B*a^2/b^3+1/2*a^3/b^4/(b*x^2+a)*D-B*a/b^3*ln(b*x^2+a)+3/2*a^2/b^4*ln(b*x^2+a)*D-3/2*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A+5/2*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
95,1,177,134,0.010000," ","int(x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x)","\frac{D x^{3}}{3 b^{2}}+\frac{B a x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 B a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{C \,x^{2}}{2 b^{2}}-\frac{D a^{2} x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 D a^{2} \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{A a}{2 \left(b \,x^{2}+a \right) b^{2}}+\frac{A \ln \left(b \,x^{2}+a \right)}{2 b^{2}}+\frac{B x}{b^{2}}-\frac{C \,a^{2}}{2 \left(b \,x^{2}+a \right) b^{3}}-\frac{C a \ln \left(b \,x^{2}+a \right)}{b^{3}}-\frac{2 D a x}{b^{3}}"," ",0,"1/3*D*x^3/b^2+1/2/b^2*C*x^2+1/b^2*B*x-2/b^3*a*D*x+1/2/b^2/(b*x^2+a)*B*x*a-1/2/b^3/(b*x^2+a)*a^2*D*x+1/2/(b*x^2+a)*A*a/b^2-1/2/b^3/(b*x^2+a)*a^2*C+1/2*A/b^2*ln(b*x^2+a)-1/b^3*ln(b*x^2+a)*a*C-3/2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*B+5/2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^2*D","A"
96,1,154,116,0.010000," ","int(x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x)","-\frac{A x}{2 \left(b \,x^{2}+a \right) b}+\frac{A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{C a x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 C a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{D x^{2}}{2 b^{2}}+\frac{B a}{2 \left(b \,x^{2}+a \right) b^{2}}+\frac{B \ln \left(b \,x^{2}+a \right)}{2 b^{2}}+\frac{C x}{b^{2}}-\frac{D a^{2}}{2 \left(b \,x^{2}+a \right) b^{3}}-\frac{D a \ln \left(b \,x^{2}+a \right)}{b^{3}}"," ",0,"1/2*D*x^2/b^2+1/b^2*C*x-1/2/b/(b*x^2+a)*A*x+1/2/b^2/(b*x^2+a)*a*C*x+1/2/b^2/(b*x^2+a)*B*a-1/2/b^3/(b*x^2+a)*a^2*D+1/2/b^2*ln(b*x^2+a)*B-1/b^3*ln(b*x^2+a)*a*D+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A-3/2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*C","A"
97,1,127,87,0.010000," ","int(x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x)","-\frac{B x}{2 \left(b \,x^{2}+a \right) b}+\frac{B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{D a x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 D a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}-\frac{A}{2 \left(b \,x^{2}+a \right) b}+\frac{C a}{2 \left(b \,x^{2}+a \right) b^{2}}+\frac{C \ln \left(b \,x^{2}+a \right)}{2 b^{2}}+\frac{D x}{b^{2}}"," ",0,"D*x/b^2-1/2/b/(b*x^2+a)*B*x+1/2/b^2/(b*x^2+a)*a*D*x-1/2/b/(b*x^2+a)*A+1/2/b^2/(b*x^2+a)*a*C+1/2*C*ln(b*x^2+a)/b^2+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*B-3/2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*D","A"
98,1,97,79,0.008000," ","int((D*x^3+C*x^2+B*x+A)/(b*x^2+a)^2,x)","\frac{A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}+\frac{C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{D \ln \left(b \,x^{2}+a \right)}{2 b^{2}}+\frac{\frac{\left(A b -a C \right) x}{2 a b}-\frac{b B -a D}{2 b^{2}}}{b \,x^{2}+a}"," ",0,"(1/2*(A*b-C*a)/a/b*x-1/2*(B*b-D*a)/b^2)/(b*x^2+a)+1/2*D*ln(b*x^2+a)/b^2+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
99,1,125,81,0.013000," ","int((D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^2,x)","\frac{B x}{2 \left(b \,x^{2}+a \right) a}+\frac{B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{D x}{2 \left(b \,x^{2}+a \right) b}+\frac{D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{A}{2 \left(b \,x^{2}+a \right) a}+\frac{A \ln \left(x \right)}{a^{2}}-\frac{A \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{C}{2 \left(b \,x^{2}+a \right) b}"," ",0,"1/2/a/(b*x^2+a)*B*x-1/2/(b*x^2+a)/b*x*D+1/2/a/(b*x^2+a)*A-1/2/(b*x^2+a)/b*C-1/2*A*ln(b*x^2+a)/a^2+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*B+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D+A*ln(x)/a^2","A"
100,1,136,96,0.014000," ","int((D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^2,x)","-\frac{A b x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 A b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{C x}{2 \left(b \,x^{2}+a \right) a}+\frac{C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}+\frac{B}{2 \left(b \,x^{2}+a \right) a}+\frac{B \ln \left(x \right)}{a^{2}}-\frac{B \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{D}{2 \left(b \,x^{2}+a \right) b}-\frac{A}{a^{2} x}"," ",0,"-1/2/a^2/(b*x^2+a)*A*b*x+1/2/a/(b*x^2+a)*C*x+1/2/a/(b*x^2+a)*B-1/2/(b*x^2+a)/b*D-1/2*B/a^2*ln(b*x^2+a)-3/2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A*b+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C-A/a^2/x+B/a^2*ln(x)","A"
101,1,169,119,0.016000," ","int((D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^2,x)","-\frac{B b x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 B b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{D x}{2 \left(b \,x^{2}+a \right) a}+\frac{D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{A b}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{2 A b \ln \left(x \right)}{a^{3}}+\frac{A b \ln \left(b \,x^{2}+a \right)}{a^{3}}+\frac{C}{2 \left(b \,x^{2}+a \right) a}+\frac{C \ln \left(x \right)}{a^{2}}-\frac{C \ln \left(b \,x^{2}+a \right)}{2 a^{2}}-\frac{B}{a^{2} x}-\frac{A}{2 a^{2} x^{2}}"," ",0,"-1/2/(b*x^2+a)*B/a^2*b*x+1/2/a/(b*x^2+a)*D*x-1/2/a^2/(b*x^2+a)*A*b+1/2/a/(b*x^2+a)*C+1/a^3*b*ln(b*x^2+a)*A-1/2/a^2*ln(b*x^2+a)*C-3/2/(a*b)^(1/2)*B/a^2*b*arctan(1/(a*b)^(1/2)*b*x)+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D-1/2*A/a^2/x^2-B/a^2/x-2/a^3*ln(x)*A*b+1/a^2*ln(x)*C","A"
102,1,235,165,0.013000," ","int(x^4*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x)","-\frac{5 A \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{9 C a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{B a \,x^{2}}{\left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{3 D a^{2} x^{2}}{2 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{3 A a x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{7 C \,a^{2} x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{3 A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{3 B \,a^{2}}{4 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{15 C a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}-\frac{5 D a^{3}}{4 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{D x^{2}}{2 b^{3}}+\frac{B \ln \left(b \,x^{2}+a \right)}{2 b^{3}}+\frac{C x}{b^{3}}-\frac{3 D a \ln \left(b \,x^{2}+a \right)}{2 b^{4}}"," ",0,"1/2/b^3*D*x^2+1/b^3*C*x-5/8/(b*x^2+a)^2*A/b*x^3+9/8/b^2/(b*x^2+a)^2*C*x^3*a+1/b^2/(b*x^2+a)^2*B*x^2*a-3/2/b^3/(b*x^2+a)^2*D*x^2*a^2-3/8/(b*x^2+a)^2*A*a/b^2*x+7/8/b^3/(b*x^2+a)^2*a^2*C*x+3/4/(b*x^2+a)^2*B*a^2/b^3-5/4/b^4/(b*x^2+a)^2*a^3*D+1/2*B/b^3*ln(b*x^2+a)-3/2/b^4*ln(b*x^2+a)*a*D+3/8/(a*b)^(1/2)*A/b^2*arctan(1/(a*b)^(1/2)*b*x)-15/8/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*C","A"
103,1,206,137,0.012000," ","int(x^3*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x)","-\frac{5 B \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{9 D a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{A \,x^{2}}{2 \left(b \,x^{2}+a \right)^{2} b}+\frac{C a \,x^{2}}{\left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{3 B a x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{7 D a^{2} x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{A a}{4 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{3 B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{3 C \,a^{2}}{4 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{15 D a \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{C \ln \left(b \,x^{2}+a \right)}{2 b^{3}}+\frac{D x}{b^{3}}"," ",0,"D/b^3*x-5/8/b/(b*x^2+a)^2*B*x^3+9/8/b^2/(b*x^2+a)^2*D*x^3*a-1/2/b/(b*x^2+a)^2*A*x^2+1/b^2/(b*x^2+a)^2*C*x^2*a-3/8/b^2/(b*x^2+a)^2*B*x*a+7/8/b^3/(b*x^2+a)^2*a^2*D*x-1/4/(b*x^2+a)^2*A*a/b^2+3/4/b^3/(b*x^2+a)^2*a^2*C+1/2*C*ln(b*x^2+a)/b^3+3/8/(a*b)^(1/2)*B/b^2*arctan(1/(a*b)^(1/2)*b*x)-15/8/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*D","A"
104,1,133,120,0.010000," ","int(x^2*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x)","\frac{A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{D \ln \left(b \,x^{2}+a \right)}{2 b^{3}}+\frac{\frac{\left(A b -5 a C \right) x^{3}}{8 a b}-\frac{\left(b B -2 a D\right) x^{2}}{2 b^{2}}-\frac{\left(A b +3 a C \right) x}{8 b^{2}}-\frac{\left(b B -3 a D\right) a}{4 b^{3}}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(A*b-5*C*a)/a/b*x^3-1/2*(B*b-2*D*a)/b^2*x^2-1/8*(A*b+3*C*a)/b^2*x-1/4*a*(B*b-3*D*a)/b^3)/(b*x^2+a)^2+1/2*D*ln(b*x^2+a)/b^3+1/8/(a*b)^(1/2)*A/a/b*arctan(1/(a*b)^(1/2)*b*x)+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
105,1,110,103,0.010000," ","int(x*(D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x)","\frac{B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{-\frac{C \,x^{2}}{2 b}+\frac{\left(b B -5 a D\right) x^{3}}{8 a b}-\frac{\left(b B +3 a D\right) x}{8 b^{2}}-\frac{A b +a C}{4 b^{2}}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(B*b-5*D*a)/a/b*x^3-1/2*C/b*x^2-1/8*(B*b+3*D*a)/b^2*x-1/4*(A*b+C*a)/b^2)/(b*x^2+a)^2+1/8/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*B+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D","A"
106,1,111,101,0.009000," ","int((D*x^3+C*x^2+B*x+A)/(b*x^2+a)^3,x)","\frac{3 A \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}+\frac{C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{-\frac{D x^{2}}{2 b}+\frac{\left(3 A b +a C \right) x^{3}}{8 a^{2}}+\frac{\left(5 A b -a C \right) x}{8 a b}-\frac{b B +a D}{4 b^{2}}}{\left(b \,x^{2}+a \right)^{2}}"," ",0,"(1/8*(3*A*b+C*a)/a^2*x^3-1/2*D/b*x^2+1/8*(5*A*b-C*a)/a/b*x-1/4*(B*b+D*a)/b^2)/(b*x^2+a)^2+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*A+1/8/a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C","A"
107,1,184,114,0.015000," ","int((D*x^3+C*x^2+B*x+A)/x/(b*x^2+a)^3,x)","\frac{3 B b \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{D x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a}+\frac{A b \,x^{2}}{2 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{5 B x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{D x}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{3 A}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 B \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{C}{4 \left(b \,x^{2}+a \right)^{2} b}+\frac{D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{A \ln \left(x \right)}{a^{3}}-\frac{A \ln \left(b \,x^{2}+a \right)}{2 a^{3}}"," ",0,"3/8/(b*x^2+a)^2*B/a^2*b*x^3+1/8/a/(b*x^2+a)^2*D*x^3+1/2/a^2/(b*x^2+a)^2*A*x^2*b+5/8/(b*x^2+a)^2*B/a*x-1/8/(b*x^2+a)^2/b*x*D+3/4/(b*x^2+a)^2*A/a-1/4/(b*x^2+a)^2/b*C-1/2*A/a^3*ln(b*x^2+a)+3/8/(a*b)^(1/2)*B/a^2*arctan(1/(a*b)^(1/2)*b*x)+1/8/a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D+A/a^3*ln(x)","A"
108,1,195,128,0.016000," ","int((D*x^3+C*x^2+B*x+A)/x^2/(b*x^2+a)^3,x)","-\frac{7 A \,b^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{3 C b \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{B b \,x^{2}}{2 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{9 A b x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{5 C x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{15 A b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{3 B}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 C \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{D}{4 \left(b \,x^{2}+a \right)^{2} b}+\frac{B \ln \left(x \right)}{a^{3}}-\frac{B \ln \left(b \,x^{2}+a \right)}{2 a^{3}}-\frac{A}{a^{3} x}"," ",0,"-7/8/(b*x^2+a)^2*A/a^3*b^2*x^3+3/8/a^2/(b*x^2+a)^2*C*x^3*b+1/2/a^2/(b*x^2+a)^2*B*x^2*b-9/8/(b*x^2+a)^2*A/a^2*b*x+5/8/a/(b*x^2+a)^2*C*x+3/4/(b*x^2+a)^2*B/a-1/4/(b*x^2+a)^2/b*D-1/2*B/a^3*ln(b*x^2+a)-15/8/(a*b)^(1/2)*A/a^3*b*arctan(1/(a*b)^(1/2)*b*x)+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*C-A/a^3/x+B/a^3*ln(x)","A"
109,1,250,154,0.018000," ","int((D*x^3+C*x^2+B*x+A)/x^3/(b*x^2+a)^3,x)","-\frac{7 B \,b^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{3 D b \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{A \,b^{2} x^{2}}{\left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{C b \,x^{2}}{2 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{9 B b x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{5 D x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{5 A b}{4 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{15 B b \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{3 C}{4 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 D \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{3 A b \ln \left(x \right)}{a^{4}}+\frac{3 A b \ln \left(b \,x^{2}+a \right)}{2 a^{4}}+\frac{C \ln \left(x \right)}{a^{3}}-\frac{C \ln \left(b \,x^{2}+a \right)}{2 a^{3}}-\frac{B}{a^{3} x}-\frac{A}{2 a^{3} x^{2}}"," ",0,"-7/8/a^3/(b*x^2+a)^2*B*x^3*b^2+3/8/a^2/(b*x^2+a)^2*D*x^3*b-1/a^3/(b*x^2+a)^2*A*x^2*b^2+1/2/a^2/(b*x^2+a)^2*C*x^2*b-9/8/a^2/(b*x^2+a)^2*B*x*b+5/8/a/(b*x^2+a)^2*D*x-5/4/(b*x^2+a)^2*A/a^2*b+3/4/a/(b*x^2+a)^2*C+3/2*A/a^4*b*ln(b*x^2+a)-1/2/a^3*ln(b*x^2+a)*C-15/8/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b*B+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*D-1/2*A/a^3/x^2-B/a^3/x-3*A/a^4*b*ln(x)+1/a^3*ln(x)*C","A"
110,1,19,18,0.010000," ","int((4*x^3-x)/(x^2+5)^2,x)","2 \ln \left(x^{2}+5\right)+\frac{21}{2 \left(x^{2}+5\right)}"," ",0,"21/2/(x^2+5)+2*ln(x^2+5)","A"
111,1,15,17,0.006000," ","int((x^3-x)/(x^2-2)^(1/2),x)","\frac{\left(x^{2}+1\right) \sqrt{x^{2}-2}}{3}"," ",0,"1/3*(x^2+1)*(x^2-2)^(1/2)","A"
112,1,21,20,0.004000," ","int((2*x^4-x^2)/(2*x^2+1),x)","\frac{x^{3}}{3}-x +\frac{\sqrt{2}\, \arctan \left(\sqrt{2}\, x \right)}{2}"," ",0,"-x+1/3*x^3+1/2*arctan(x*2^(1/2))*2^(1/2)","A"
113,1,25,24,0.003000," ","int((x^4+x^3)/(x^2+1),x)","\frac{x^{3}}{3}+\frac{x^{2}}{2}-x +\arctan \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"-x+1/2*x^2+1/3*x^3+arctan(x)-1/2*ln(x^2+1)","A"
114,1,278,192,0.005000," ","int(x^6*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a),x)","\frac{f \,x^{11}}{11 b}-\frac{a f \,x^{9}}{9 b^{2}}+\frac{e \,x^{9}}{9 b}+\frac{a^{2} f \,x^{7}}{7 b^{3}}-\frac{a e \,x^{7}}{7 b^{2}}+\frac{d \,x^{7}}{7 b}-\frac{a^{3} f \,x^{5}}{5 b^{4}}+\frac{a^{2} e \,x^{5}}{5 b^{3}}-\frac{a d \,x^{5}}{5 b^{2}}+\frac{c \,x^{5}}{5 b}+\frac{a^{4} f \,x^{3}}{3 b^{5}}-\frac{a^{3} e \,x^{3}}{3 b^{4}}+\frac{a^{2} d \,x^{3}}{3 b^{3}}-\frac{a c \,x^{3}}{3 b^{2}}+\frac{a^{6} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{6}}-\frac{a^{5} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{5}}+\frac{a^{4} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{a^{3} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}-\frac{a^{5} f x}{b^{6}}+\frac{a^{4} e x}{b^{5}}-\frac{a^{3} d x}{b^{4}}+\frac{a^{2} c x}{b^{3}}"," ",0,"1/11*f*x^11/b-1/9/b^2*x^9*a*f+1/9/b*x^9*e+1/7/b^3*x^7*a^2*f-1/7/b^2*x^7*a*e+1/7/b*x^7*d-1/5/b^4*x^5*a^3*f+1/5/b^3*x^5*a^2*e-1/5/b^2*x^5*a*d+1/5/b*x^5*c+1/3/b^5*x^3*a^4*f-1/3/b^4*x^3*a^3*e+1/3/b^3*x^3*a^2*d-1/3/b^2*x^3*a*c-1/b^6*a^5*f*x+1/b^5*a^4*e*x-1/b^4*a^3*d*x+1/b^3*a^2*c*x+a^6/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-a^5/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
115,1,230,156,0.006000," ","int(x^4*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a),x)","\frac{f \,x^{9}}{9 b}-\frac{a f \,x^{7}}{7 b^{2}}+\frac{e \,x^{7}}{7 b}+\frac{a^{2} f \,x^{5}}{5 b^{3}}-\frac{a e \,x^{5}}{5 b^{2}}+\frac{d \,x^{5}}{5 b}-\frac{a^{3} f \,x^{3}}{3 b^{4}}+\frac{a^{2} e \,x^{3}}{3 b^{3}}-\frac{a d \,x^{3}}{3 b^{2}}+\frac{c \,x^{3}}{3 b}-\frac{a^{5} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{5}}+\frac{a^{4} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{a^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{a^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}+\frac{a^{4} f x}{b^{5}}-\frac{a^{3} e x}{b^{4}}+\frac{a^{2} d x}{b^{3}}-\frac{a c x}{b^{2}}"," ",0,"1/9*f*x^9/b-1/7/b^2*x^7*a*f+1/7/b*x^7*e+1/5/b^3*x^5*a^2*f-1/5/b^2*x^5*a*e+1/5/b*x^5*d-1/3/b^4*x^3*a^3*f+1/3/b^3*x^3*a^2*e-1/3/b^2*x^3*a*d+1/3/b*x^3*c+1/b^5*a^4*f*x-1/b^4*a^3*e*x+1/b^3*a^2*d*x-1/b^2*a*c*x-a^5/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
116,1,182,122,0.003000," ","int(x^2*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a),x)","\frac{f \,x^{7}}{7 b}-\frac{a f \,x^{5}}{5 b^{2}}+\frac{e \,x^{5}}{5 b}+\frac{a^{2} f \,x^{3}}{3 b^{3}}-\frac{a e \,x^{3}}{3 b^{2}}+\frac{d \,x^{3}}{3 b}+\frac{a^{4} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{4}}-\frac{a^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{a^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{a c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{a^{3} f x}{b^{4}}+\frac{a^{2} e x}{b^{3}}-\frac{a d x}{b^{2}}+\frac{c x}{b}"," ",0,"1/7*f*x^7/b-1/5/b^2*x^5*a*f+1/5/b*x^5*e+1/3/b^3*x^3*a^2*f-1/3/b^2*x^3*a*e+1/3/b*x^3*d-1/b^4*a^3*f*x+1/b^3*a^2*e*x-1/b^2*a*d*x+1/b*c*x+a^4/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-a^3/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
117,1,135,88,0.003000," ","int((f*x^6+e*x^4+d*x^2+c)/(b*x^2+a),x)","\frac{f \,x^{5}}{5 b}-\frac{a f \,x^{3}}{3 b^{2}}+\frac{e \,x^{3}}{3 b}-\frac{a^{3} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{3}}+\frac{a^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{a d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}+\frac{c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}+\frac{a^{2} f x}{b^{3}}-\frac{a e x}{b^{2}}+\frac{d x}{b}"," ",0,"1/5*f*x^5/b-1/3/b^2*x^3*a*f+1/3/b*x^3*e+1/b^3*a^2*f*x-1/b^2*a*e*x+1/b*d*x-1/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^3*f+1/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^2*e-1/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*d+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
118,1,114,74,0.007000," ","int((f*x^6+e*x^4+d*x^2+c)/x^2/(b*x^2+a),x)","\frac{f \,x^{3}}{3 b}+\frac{a^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b^{2}}-\frac{a e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{b c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{a f x}{b^{2}}+\frac{e x}{b}-\frac{c}{a x}"," ",0,"1/3*f*x^3/b-1/b^2*a*f*x+1/b*e*x+a^2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-1/(a*b)^(1/2)/a*b*c*arctan(1/(a*b)^(1/2)*b*x)-1/a*c/x","A"
119,1,115,72,0.009000," ","int((f*x^6+e*x^4+d*x^2+c)/x^4/(b*x^2+a),x)","-\frac{a f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, b}-\frac{b d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{b^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}+\frac{e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}+\frac{f x}{b}-\frac{d}{a x}+\frac{b c}{a^{2} x}-\frac{c}{3 a \,x^{3}}"," ",0,"f*x/b-1/b*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/3*c/a/x^3-1/a/x*d+1/a^2/x*b*c","A"
120,1,142,92,0.007000," ","int((f*x^6+e*x^4+d*x^2+c)/x^6/(b*x^2+a),x)","-\frac{b e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{b^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{b^{3} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}-\frac{e}{a x}+\frac{b d}{a^{2} x}-\frac{b^{2} c}{a^{3} x}-\frac{d}{3 a \,x^{3}}+\frac{b c}{3 a^{2} x^{3}}-\frac{c}{5 a \,x^{5}}"," ",0,"1/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-1/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b*e+1/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^2*d-1/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^3*c-1/5*c/a/x^5-1/3/a/x^3*d+1/3/a^2/x^3*b*c-1/a/x*e+1/a^2/x*b*d-1/a^3/x*b^2*c","A"
121,1,190,124,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/x^8/(b*x^2+a),x)","-\frac{b f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a}+\frac{b^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{b^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{b^{4} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{f}{a x}+\frac{b e}{a^{2} x}-\frac{b^{2} d}{a^{3} x}+\frac{b^{3} c}{a^{4} x}-\frac{e}{3 a \,x^{3}}+\frac{b d}{3 a^{2} x^{3}}-\frac{b^{2} c}{3 a^{3} x^{3}}-\frac{d}{5 a \,x^{5}}+\frac{b c}{5 a^{2} x^{5}}-\frac{c}{7 a \,x^{7}}"," ",0,"-b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/7*c/a/x^7-1/5/a/x^5*d+1/5/a^2/x^5*b*c-1/3/a/x^3*e+1/3/a^2/x^3*b*d-1/3/a^3/x^3*b^2*c-1/a/x*f+1/a^2/x*b*e-1/a^3/x*b^2*d+1/a^4/x*b^3*c","A"
122,1,238,160,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/x^10/(b*x^2+a),x)","\frac{b^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{2}}-\frac{b^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{b^{4} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{b^{5} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{5}}+\frac{b f}{a^{2} x}-\frac{b^{2} e}{a^{3} x}+\frac{b^{3} d}{a^{4} x}-\frac{b^{4} c}{a^{5} x}-\frac{f}{3 a \,x^{3}}+\frac{b e}{3 a^{2} x^{3}}-\frac{b^{2} d}{3 a^{3} x^{3}}+\frac{b^{3} c}{3 a^{4} x^{3}}-\frac{e}{5 a \,x^{5}}+\frac{b d}{5 a^{2} x^{5}}-\frac{b^{2} c}{5 a^{3} x^{5}}-\frac{d}{7 a \,x^{7}}+\frac{b c}{7 a^{2} x^{7}}-\frac{c}{9 a \,x^{9}}"," ",0,"b^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-b^5/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/9*c/a/x^9-1/7/a/x^7*d+1/7/a^2/x^7*b*c-1/5/a/x^5*e+1/5/a^2/x^5*b*d-1/5/a^3/x^5*b^2*c-1/3/a/x^3*f+1/3/a^2/x^3*b*e-1/3/a^3/x^3*b^2*d+1/3/a^4/x^3*b^3*c+1/a^2*b/x*f-1/a^3*b^2/x*e+1/a^4*b^3/x*d-1/a^5*b^4/x*c","A"
123,1,286,194,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/x^12/(b*x^2+a),x)","-\frac{b^{3} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{3}}+\frac{b^{4} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{4}}-\frac{b^{5} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{5}}+\frac{b^{6} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}\, a^{6}}-\frac{b^{2} f}{a^{3} x}+\frac{b^{3} e}{a^{4} x}-\frac{b^{4} d}{a^{5} x}+\frac{b^{5} c}{a^{6} x}+\frac{b f}{3 a^{2} x^{3}}-\frac{b^{2} e}{3 a^{3} x^{3}}+\frac{b^{3} d}{3 a^{4} x^{3}}-\frac{b^{4} c}{3 a^{5} x^{3}}-\frac{f}{5 a \,x^{5}}+\frac{b e}{5 a^{2} x^{5}}-\frac{b^{2} d}{5 a^{3} x^{5}}+\frac{b^{3} c}{5 a^{4} x^{5}}-\frac{e}{7 a \,x^{7}}+\frac{b d}{7 a^{2} x^{7}}-\frac{b^{2} c}{7 a^{3} x^{7}}-\frac{d}{9 a \,x^{9}}+\frac{b c}{9 a^{2} x^{9}}-\frac{c}{11 a \,x^{11}}"," ",0,"-b^3/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+b^4/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-b^5/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+b^6/a^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/11*c/a/x^11-1/9/a/x^9*d+1/9/a^2/x^9*b*c-1/7/a/x^7*e+1/7/a^2/x^7*b*d-1/7/a^3/x^7*b^2*c-1/5/a/x^5*f+1/5/a^2/x^5*b*e-1/5/a^3/x^5*b^2*d+1/5/a^4/x^5*b^3*c-1/a^3*b^2/x*f+1/a^4*b^3/x*e-1/a^5*b^4/x*d+1/a^6*b^5/x*c+1/3/a^2*b/x^3*f-1/3/a^3*b^2/x^3*e+1/3/a^4*b^3/x^3*d-1/3/a^5*b^4/x^3*c","A"
124,1,309,218,0.013000," ","int(x^6*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^2,x)","\frac{f \,x^{9}}{9 b^{2}}-\frac{2 a f \,x^{7}}{7 b^{3}}+\frac{e \,x^{7}}{7 b^{2}}+\frac{3 a^{2} f \,x^{5}}{5 b^{4}}-\frac{2 a e \,x^{5}}{5 b^{3}}+\frac{d \,x^{5}}{5 b^{2}}-\frac{4 a^{3} f \,x^{3}}{3 b^{5}}+\frac{a^{2} e \,x^{3}}{b^{4}}-\frac{2 a d \,x^{3}}{3 b^{3}}+\frac{c \,x^{3}}{3 b^{2}}+\frac{a^{5} f x}{2 \left(b \,x^{2}+a \right) b^{6}}-\frac{11 a^{5} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{6}}-\frac{a^{4} e x}{2 \left(b \,x^{2}+a \right) b^{5}}+\frac{9 a^{4} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{5}}+\frac{a^{3} d x}{2 \left(b \,x^{2}+a \right) b^{4}}-\frac{7 a^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{4}}-\frac{a^{2} c x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 a^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{5 a^{4} f x}{b^{6}}-\frac{4 a^{3} e x}{b^{5}}+\frac{3 a^{2} d x}{b^{4}}-\frac{2 a c x}{b^{3}}"," ",0,"1/9*f*x^9/b^2-2/7/b^3*x^7*a*f+1/7/b^2*x^7*e+3/5/b^4*x^5*a^2*f-2/5/b^3*x^5*a*e+1/5/b^2*x^5*d-4/3/b^5*x^3*a^3*f+1/b^4*x^3*a^2*e-2/3/b^3*x^3*a*d+1/3/b^2*x^3*c+5/b^6*a^4*f*x-4/b^5*a^3*e*x+3/b^4*a^2*d*x-2/b^3*a*c*x+1/2*a^5/b^6*x/(b*x^2+a)*f-1/2*a^4/b^5*x/(b*x^2+a)*e+1/2*a^3/b^4*x/(b*x^2+a)*d-1/2*a^2/b^3*x/(b*x^2+a)*c-11/2*a^5/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+9/2*a^4/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-7/2*a^3/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+5/2*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
125,1,258,182,0.012000," ","int(x^4*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^2,x)","\frac{f \,x^{7}}{7 b^{2}}-\frac{2 a f \,x^{5}}{5 b^{3}}+\frac{e \,x^{5}}{5 b^{2}}+\frac{a^{2} f \,x^{3}}{b^{4}}-\frac{2 a e \,x^{3}}{3 b^{3}}+\frac{d \,x^{3}}{3 b^{2}}-\frac{a^{4} f x}{2 \left(b \,x^{2}+a \right) b^{5}}+\frac{9 a^{4} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{5}}+\frac{a^{3} e x}{2 \left(b \,x^{2}+a \right) b^{4}}-\frac{7 a^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{4}}-\frac{a^{2} d x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 a^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{a c x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 a c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}-\frac{4 a^{3} f x}{b^{5}}+\frac{3 a^{2} e x}{b^{4}}-\frac{2 a d x}{b^{3}}+\frac{c x}{b^{2}}"," ",0,"1/7*f*x^7/b^2-2/5/b^3*x^5*a*f+1/5/b^2*x^5*e+1/b^4*x^3*a^2*f-2/3/b^3*x^3*a*e+1/3/b^2*x^3*d-4/b^5*a^3*f*x+3/b^4*a^2*e*x-2/b^3*a*d*x+1/b^2*c*x-1/2*a^4/b^5*x/(b*x^2+a)*f+1/2*a^3/b^4*x/(b*x^2+a)*e-1/2*a^2/b^3*x/(b*x^2+a)*d+1/2*a/b^2*x/(b*x^2+a)*c+9/2*a^4/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-7/2*a^3/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+5/2*a^2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-3/2*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
126,1,212,145,0.012000," ","int(x^2*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^2,x)","\frac{f \,x^{5}}{5 b^{2}}-\frac{2 a f \,x^{3}}{3 b^{3}}+\frac{e \,x^{3}}{3 b^{2}}+\frac{a^{3} f x}{2 \left(b \,x^{2}+a \right) b^{4}}-\frac{7 a^{3} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{4}}-\frac{a^{2} e x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 a^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{a d x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 a d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}-\frac{c x}{2 \left(b \,x^{2}+a \right) b}+\frac{c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{3 a^{2} f x}{b^{4}}-\frac{2 a e x}{b^{3}}+\frac{d x}{b^{2}}"," ",0,"1/5*f*x^5/b^2-2/3/b^3*x^3*a*f+1/3/b^2*x^3*e+3/b^4*a^2*f*x-2/b^3*a*e*x+1/b^2*d*x+1/2/b^4*x/(b*x^2+a)*a^3*f-1/2/b^3*x/(b*x^2+a)*a^2*e+1/2/b^2*x/(b*x^2+a)*a*d-1/2/(b*x^2+a)/b*c*x-7/2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^3*f+5/2/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^2*e-3/2/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*d+1/2/(a*b)^(1/2)/b*c*arctan(1/(a*b)^(1/2)*b*x)","A"
127,1,177,104,0.011000," ","int((f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^2,x)","\frac{f \,x^{3}}{3 b^{2}}-\frac{a^{2} f x}{2 \left(b \,x^{2}+a \right) b^{3}}+\frac{5 a^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{3}}+\frac{a e x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 a e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{c x}{2 \left(b \,x^{2}+a \right) a}+\frac{c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{d x}{2 \left(b \,x^{2}+a \right) b}+\frac{d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}-\frac{2 a f x}{b^{3}}+\frac{e x}{b^{2}}"," ",0,"1/3*f*x^3/b^2-2/b^3*a*f*x+1/b^2*e*x-1/2/b^3*a^2*x/(b*x^2+a)*f+1/2/b^2*a*x/(b*x^2+a)*e-1/2/b*x/(b*x^2+a)*d+1/2/(b*x^2+a)/a*c*x+5/2/b^3*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-3/2/b^2*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+1/2/(a*b)^(1/2)/a*c*arctan(1/(a*b)^(1/2)*b*x)","A"
128,1,165,100,0.013000," ","int((f*x^6+e*x^4+d*x^2+c)/x^2/(b*x^2+a)^2,x)","\frac{a f x}{2 \left(b \,x^{2}+a \right) b^{2}}-\frac{3 a f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b^{2}}+\frac{d x}{2 \left(b \,x^{2}+a \right) a}+\frac{d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{b c x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 b c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}-\frac{e x}{2 \left(b \,x^{2}+a \right) b}+\frac{e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}+\frac{f x}{b^{2}}-\frac{c}{a^{2} x}"," ",0,"f*x/b^2+1/2*a/b^2*x/(b*x^2+a)*f-1/2/b*x/(b*x^2+a)*e+1/2/a*x/(b*x^2+a)*d-1/2/(b*x^2+a)/a^2*b*c*x-3/2*a/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-3/2/(a*b)^(1/2)/a^2*b*c*arctan(1/(a*b)^(1/2)*b*x)-1/a^2*c/x","A"
129,1,182,107,0.015000," ","int((f*x^6+e*x^4+d*x^2+c)/x^4/(b*x^2+a)^2,x)","\frac{e x}{2 \left(b \,x^{2}+a \right) a}+\frac{e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{b d x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 b d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{b^{2} c x}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{5 b^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}-\frac{f x}{2 \left(b \,x^{2}+a \right) b}+\frac{f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, b}-\frac{d}{a^{2} x}+\frac{2 b c}{a^{3} x}-\frac{c}{3 a^{2} x^{3}}"," ",0,"-1/2/b*x/(b*x^2+a)*f+1/2/a*x/(b*x^2+a)*e-1/2/a^2*b*x/(b*x^2+a)*d+1/2/a^3*b^2*x/(b*x^2+a)*c+1/2/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-3/2/a^2*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+5/2/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/3*c/a^2/x^3-1/a^2/x*d+2/a^3/x*b*c","A"
130,1,219,136,0.015000," ","int((f*x^6+e*x^4+d*x^2+c)/x^6/(b*x^2+a)^2,x)","\frac{f x}{2 \left(b \,x^{2}+a \right) a}+\frac{f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a}-\frac{b e x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 b e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{b^{2} d x}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{5 b^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}-\frac{b^{3} c x}{2 \left(b \,x^{2}+a \right) a^{4}}-\frac{7 b^{3} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{4}}-\frac{e}{a^{2} x}+\frac{2 b d}{a^{3} x}-\frac{3 b^{2} c}{a^{4} x}-\frac{d}{3 a^{2} x^{3}}+\frac{2 b c}{3 a^{3} x^{3}}-\frac{c}{5 a^{2} x^{5}}"," ",0,"1/2/a*x/(b*x^2+a)*f-1/2/a^2*x/(b*x^2+a)*b*e+1/2/a^3*x/(b*x^2+a)*b^2*d-1/2/a^4*x/(b*x^2+a)*b^3*c+1/2/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-3/2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b*e+5/2/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^2*d-7/2/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^3*c-1/5*c/a^2/x^5-1/3/a^2/x^3*d+2/3/a^3/x^3*b*c-1/a^2/x*e+2/a^3/x*b*d-3/a^4/x*b^2*c","A"
131,1,268,172,0.019000," ","int((f*x^6+e*x^4+d*x^2+c)/x^8/(b*x^2+a)^2,x)","-\frac{b f x}{2 \left(b \,x^{2}+a \right) a^{2}}-\frac{3 b f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2}}+\frac{b^{2} e x}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{5 b^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}-\frac{b^{3} d x}{2 \left(b \,x^{2}+a \right) a^{4}}-\frac{7 b^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{4}}+\frac{b^{4} c x}{2 \left(b \,x^{2}+a \right) a^{5}}+\frac{9 b^{4} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{5}}-\frac{f}{a^{2} x}+\frac{2 b e}{a^{3} x}-\frac{3 b^{2} d}{a^{4} x}+\frac{4 b^{3} c}{a^{5} x}-\frac{e}{3 a^{2} x^{3}}+\frac{2 b d}{3 a^{3} x^{3}}-\frac{b^{2} c}{a^{4} x^{3}}-\frac{d}{5 a^{2} x^{5}}+\frac{2 b c}{5 a^{3} x^{5}}-\frac{c}{7 a^{2} x^{7}}"," ",0,"-1/2*b/a^2*x/(b*x^2+a)*f+1/2*b^2/a^3*x/(b*x^2+a)*e-1/2*b^3/a^4*x/(b*x^2+a)*d+1/2*b^4/a^5*x/(b*x^2+a)*c-3/2*b/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+5/2*b^2/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-7/2*b^3/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+9/2*b^4/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/7*c/a^2/x^7-1/5/a^2/x^5*d+2/5/a^3/x^5*b*c-1/3/a^2/x^3*e+2/3/a^3/x^3*b*d-1/a^4/x^3*b^2*c-1/a^2/x*f+2/a^3/x*b*e-3/a^4/x*b^2*d+4/a^5/x*b^3*c","A"
132,1,318,211,0.016000," ","int((f*x^6+e*x^4+d*x^2+c)/x^10/(b*x^2+a)^2,x)","\frac{b^{2} f x}{2 \left(b \,x^{2}+a \right) a^{3}}+\frac{5 b^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{3}}-\frac{b^{3} e x}{2 \left(b \,x^{2}+a \right) a^{4}}-\frac{7 b^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{4}}+\frac{b^{4} d x}{2 \left(b \,x^{2}+a \right) a^{5}}+\frac{9 b^{4} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{5}}-\frac{b^{5} c x}{2 \left(b \,x^{2}+a \right) a^{6}}-\frac{11 b^{5} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{6}}+\frac{2 b f}{a^{3} x}-\frac{3 b^{2} e}{a^{4} x}+\frac{4 b^{3} d}{a^{5} x}-\frac{5 b^{4} c}{a^{6} x}-\frac{f}{3 a^{2} x^{3}}+\frac{2 b e}{3 a^{3} x^{3}}-\frac{b^{2} d}{a^{4} x^{3}}+\frac{4 b^{3} c}{3 a^{5} x^{3}}-\frac{e}{5 a^{2} x^{5}}+\frac{2 b d}{5 a^{3} x^{5}}-\frac{3 b^{2} c}{5 a^{4} x^{5}}-\frac{d}{7 a^{2} x^{7}}+\frac{2 b c}{7 a^{3} x^{7}}-\frac{c}{9 a^{2} x^{9}}"," ",0,"1/2/a^3*b^2*x/(b*x^2+a)*f-1/2/a^4*b^3*x/(b*x^2+a)*e+1/2/a^5*b^4*x/(b*x^2+a)*d-1/2/a^6*b^5*x/(b*x^2+a)*c+5/2/a^3*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-7/2/a^4*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+9/2/a^5*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-11/2/a^6*b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/9*c/a^2/x^9-1/7/a^2/x^7*d+2/7/a^3/x^7*b*c-1/5/a^2/x^5*e+2/5/a^3/x^5*b*d-3/5/a^4/x^5*b^2*c-1/3/a^2/x^3*f+2/3/a^3/x^3*b*e-1/a^4/x^3*b^2*d+4/3/a^5/x^3*b^3*c+2*b/a^3/x*f-3*b^2/a^4/x*e+4*b^3/a^5/x*d-5*b^4/a^6/x*c","A"
133,1,394,263,0.016000," ","int(x^8*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^3,x)","\frac{f \,x^{9}}{9 b^{3}}-\frac{3 a f \,x^{7}}{7 b^{4}}+\frac{e \,x^{7}}{7 b^{3}}+\frac{25 a^{5} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{6}}-\frac{21 a^{4} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}+\frac{17 a^{3} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}-\frac{13 a^{2} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{6 a^{2} f \,x^{5}}{5 b^{5}}-\frac{3 a e \,x^{5}}{5 b^{4}}+\frac{d \,x^{5}}{5 b^{3}}+\frac{23 a^{6} f x}{8 \left(b \,x^{2}+a \right)^{2} b^{7}}-\frac{19 a^{5} e x}{8 \left(b \,x^{2}+a \right)^{2} b^{6}}+\frac{15 a^{4} d x}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{11 a^{3} c x}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}-\frac{10 a^{3} f \,x^{3}}{3 b^{6}}+\frac{2 a^{2} e \,x^{3}}{b^{5}}-\frac{a d \,x^{3}}{b^{4}}+\frac{c \,x^{3}}{3 b^{3}}-\frac{143 a^{5} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{7}}+\frac{99 a^{4} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{6}}-\frac{63 a^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{5}}+\frac{35 a^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}+\frac{15 a^{4} f x}{b^{7}}-\frac{10 a^{3} e x}{b^{6}}+\frac{6 a^{2} d x}{b^{5}}-\frac{3 a c x}{b^{4}}"," ",0,"1/3/b^3*x^3*c-3/7/b^4*x^7*a*f+6/5/b^5*x^5*a^2*f-3/5/b^4*x^5*a*e-10/3/b^6*x^3*a^3*f+2/b^5*x^3*a^2*e-1/b^4*x^3*a*d+15/b^7*a^4*f*x-10/b^6*a^3*e*x+6/b^5*a^2*d*x-3/b^4*a*c*x+1/9*f*x^9/b^3+25/8*a^5/b^6/(b*x^2+a)^2*x^3*f+23/8*a^6/b^7/(b*x^2+a)^2*f*x-19/8*a^5/b^6/(b*x^2+a)^2*e*x+15/8*a^4/b^5/(b*x^2+a)^2*d*x-11/8*a^3/b^4/(b*x^2+a)^2*c*x-143/8*a^5/b^7/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+99/8*a^4/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-63/8*a^3/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+35/8*a^2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c+1/7/b^3*x^7*e+1/5/b^3*x^5*d-21/8*a^4/b^5/(b*x^2+a)^2*x^3*e+17/8*a^3/b^4/(b*x^2+a)^2*x^3*d-13/8*a^2/b^3/(b*x^2+a)^2*x^3*c","A"
134,1,343,225,0.015000," ","int(x^6*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^3,x)","\frac{f \,x^{7}}{7 b^{3}}-\frac{21 a^{4} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}+\frac{17 a^{3} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}-\frac{13 a^{2} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{9 a c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{3 a f \,x^{5}}{5 b^{4}}+\frac{e \,x^{5}}{5 b^{3}}-\frac{19 a^{5} f x}{8 \left(b \,x^{2}+a \right)^{2} b^{6}}+\frac{15 a^{4} e x}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{11 a^{3} d x}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{7 a^{2} c x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{2 a^{2} f \,x^{3}}{b^{5}}-\frac{a e \,x^{3}}{b^{4}}+\frac{d \,x^{3}}{3 b^{3}}+\frac{99 a^{4} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{6}}-\frac{63 a^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{5}}+\frac{35 a^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}-\frac{15 a c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}-\frac{10 a^{3} f x}{b^{6}}+\frac{6 a^{2} e x}{b^{5}}-\frac{3 a d x}{b^{4}}+\frac{c x}{b^{3}}"," ",0,"1/7*f*x^7/b^3-3/5/b^4*x^5*a*f+1/5/b^3*x^5*e+2/b^5*x^3*a^2*f-1/b^4*x^3*a*e+1/3/b^3*x^3*d-10/b^6*a^3*f*x+6/b^5*a^2*e*x-3/b^4*a*d*x+1/b^3*c*x-21/8*a^4/b^5/(b*x^2+a)^2*x^3*f+17/8*a^3/b^4/(b*x^2+a)^2*x^3*e-13/8*a^2/b^3/(b*x^2+a)^2*x^3*d+9/8*a/b^2/(b*x^2+a)^2*x^3*c-19/8*a^5/b^6/(b*x^2+a)^2*f*x+15/8*a^4/b^5/(b*x^2+a)^2*e*x-11/8*a^3/b^4/(b*x^2+a)^2*d*x+7/8*a^2/b^3/(b*x^2+a)^2*c*x+99/8*a^4/b^6/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-63/8*a^3/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+35/8*a^2/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-15/8*a/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
135,1,294,187,0.014000," ","int(x^4*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^3,x)","\frac{17 a^{3} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}-\frac{13 a^{2} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{9 a d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{5 c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{f \,x^{5}}{5 b^{3}}+\frac{15 a^{4} f x}{8 \left(b \,x^{2}+a \right)^{2} b^{5}}-\frac{11 a^{3} e x}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{7 a^{2} d x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{3 a c x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{a f \,x^{3}}{b^{4}}+\frac{e \,x^{3}}{3 b^{3}}-\frac{63 a^{3} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{5}}+\frac{35 a^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}-\frac{15 a d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{3 c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{6 a^{2} f x}{b^{5}}-\frac{3 a e x}{b^{4}}+\frac{d x}{b^{3}}"," ",0,"1/5*f*x^5/b^3-1/b^4*x^3*a*f+1/3/b^3*x^3*e+6/b^5*a^2*f*x-3/b^4*a*e*x+1/b^3*d*x+17/8/b^4/(b*x^2+a)^2*x^3*a^3*f-13/8/b^3/(b*x^2+a)^2*x^3*a^2*e+9/8/b^2/(b*x^2+a)^2*x^3*a*d-5/8/b/(b*x^2+a)^2*x^3*c+15/8/b^5/(b*x^2+a)^2*a^4*f*x-11/8/b^4/(b*x^2+a)^2*a^3*e*x+7/8/b^3/(b*x^2+a)^2*a^2*d*x-3/8/b^2/(b*x^2+a)^2*a*c*x-63/8/b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^3*f+35/8/b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a^2*e-15/8/b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*a*d+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
136,1,259,151,0.012000," ","int(x^2*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^3,x)","-\frac{13 a^{2} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}+\frac{9 a e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{5 d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}-\frac{11 a^{3} f x}{8 \left(b \,x^{2}+a \right)^{2} b^{4}}+\frac{7 a^{2} e x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{3 a d x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}-\frac{c x}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{f \,x^{3}}{3 b^{3}}+\frac{35 a^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{4}}-\frac{15 a e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}-\frac{3 a f x}{b^{4}}+\frac{e x}{b^{3}}"," ",0,"1/3*f*x^3/b^3-3/b^4*a*f*x+1/b^3*e*x-13/8/b^3/(b*x^2+a)^2*x^3*a^2*f+9/8/b^2/(b*x^2+a)^2*x^3*a*e-5/8/b/(b*x^2+a)^2*x^3*d+1/8/(b*x^2+a)^2/a*x^3*c-11/8/b^4/(b*x^2+a)^2*a^3*f*x+7/8/b^3/(b*x^2+a)^2*a^2*e*x-3/8/b^2/(b*x^2+a)^2*a*d*x-1/8/b/(b*x^2+a)^2*c*x+35/8/b^4*a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-15/8/b^3*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+1/8/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
137,1,234,133,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^3,x)","\frac{9 a f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 b c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{5 e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{7 a^{2} f x}{8 \left(b \,x^{2}+a \right)^{2} b^{3}}-\frac{3 a e x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{5 c x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{d x}{8 \left(b \,x^{2}+a \right)^{2} b}-\frac{15 a f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{3}}+\frac{d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}+\frac{3 e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}+\frac{f x}{b^{3}}"," ",0,"f*x/b^3+9/8/b^2/(b*x^2+a)^2*x^3*a*f-5/8/b/(b*x^2+a)^2*x^3*e+1/8/(b*x^2+a)^2/a*x^3*d+3/8*b/(b*x^2+a)^2/a^2*x^3*c+7/8/b^3/(b*x^2+a)^2*a^2*f*x-3/8/b^2/(b*x^2+a)^2*a*e*x-1/8/b/(b*x^2+a)^2*d*x+5/8/(b*x^2+a)^2/a*x*c-15/8/b^3*a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+1/8/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c","A"
138,1,237,139,0.013000," ","int((f*x^6+e*x^4+d*x^2+c)/x^2/(b*x^2+a)^3,x)","\frac{e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 b d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{7 b^{2} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{5 f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} b}-\frac{3 a f x}{8 \left(b \,x^{2}+a \right)^{2} b^{2}}+\frac{5 d x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{9 b c x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{e x}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{15 b c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{3 f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, b^{2}}-\frac{c}{a^{3} x}"," ",0,"-5/8/(b*x^2+a)^2/b*x^3*f+1/8/a/(b*x^2+a)^2*x^3*e+3/8/a^2/(b*x^2+a)^2*b*x^3*d-7/8/a^3/(b*x^2+a)^2*b^2*x^3*c-3/8*a/(b*x^2+a)^2/b^2*x*f-1/8/(b*x^2+a)^2/b*x*e+5/8/a/(b*x^2+a)^2*x*d-9/8/a^2/(b*x^2+a)^2*b*x*c+3/8/b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+1/8/a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-15/8/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-c/a^3/x","A"
139,1,264,152,0.015000," ","int((f*x^6+e*x^4+d*x^2+c)/x^4/(b*x^2+a)^3,x)","\frac{f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a}+\frac{3 b e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{7 b^{2} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{11 b^{3} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{5 e x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{9 b d x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{13 b^{2} c x}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{f x}{8 \left(b \,x^{2}+a \right)^{2} b}+\frac{f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b}+\frac{3 e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{15 b d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{35 b^{2} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}-\frac{d}{a^{3} x}+\frac{3 b c}{a^{4} x}-\frac{c}{3 a^{3} x^{3}}"," ",0,"1/8/a/(b*x^2+a)^2*x^3*f+3/8/a^2/(b*x^2+a)^2*x^3*b*e-7/8/a^3/(b*x^2+a)^2*x^3*b^2*d+11/8/a^4/(b*x^2+a)^2*x^3*b^3*c-1/8/(b*x^2+a)^2/b*x*f+5/8/a/(b*x^2+a)^2*x*e-9/8/a^2/(b*x^2+a)^2*b*x*d+13/8/a^3/(b*x^2+a)^2*b^2*x*c+1/8/a/b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-15/8/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+35/8/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/3*c/a^3/x^3-1/a^3/x*d+3/a^4/x*b*c","A"
140,1,300,178,0.018000," ","int((f*x^6+e*x^4+d*x^2+c)/x^6/(b*x^2+a)^3,x)","\frac{3 b f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}-\frac{7 b^{2} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{11 b^{3} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}-\frac{15 b^{4} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}+\frac{5 f x}{8 \left(b \,x^{2}+a \right)^{2} a}-\frac{9 b e x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{13 b^{2} d x}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{17 b^{3} c x}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{3 f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{2}}-\frac{15 b e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{35 b^{2} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}-\frac{63 b^{3} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}-\frac{e}{a^{3} x}+\frac{3 b d}{a^{4} x}-\frac{6 b^{2} c}{a^{5} x}-\frac{d}{3 a^{3} x^{3}}+\frac{b c}{a^{4} x^{3}}-\frac{c}{5 a^{3} x^{5}}"," ",0,"3/8/a^2/(b*x^2+a)^2*x^3*b*f-7/8/a^3/(b*x^2+a)^2*x^3*b^2*e+11/8/a^4/(b*x^2+a)^2*x^3*b^3*d-15/8/a^5/(b*x^2+a)^2*x^3*b^4*c+5/8/a/(b*x^2+a)^2*f*x-9/8/a^2/(b*x^2+a)^2*b*e*x+13/8/a^3/(b*x^2+a)^2*b^2*d*x-17/8/a^4/(b*x^2+a)^2*b^3*c*x+3/8/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-15/8/a^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b*e+35/8/a^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^2*d-63/8/a^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*b^3*c-1/5*c/a^3/x^5-1/3/a^3/x^3*d+1/a^4/x^3*b*c-1/a^3/x*e+3/a^4/x*b*d-6/a^5/x*b^2*c","A"
141,1,351,215,0.019000," ","int((f*x^6+e*x^4+d*x^2+c)/x^8/(b*x^2+a)^3,x)","-\frac{7 b^{2} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}+\frac{11 b^{3} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}-\frac{15 b^{4} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}+\frac{19 b^{5} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{6}}-\frac{9 b f x}{8 \left(b \,x^{2}+a \right)^{2} a^{2}}+\frac{13 b^{2} e x}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{17 b^{3} d x}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{21 b^{4} c x}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}-\frac{15 b f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{3}}+\frac{35 b^{2} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}-\frac{63 b^{3} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}+\frac{99 b^{4} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{6}}-\frac{f}{a^{3} x}+\frac{3 b e}{a^{4} x}-\frac{6 b^{2} d}{a^{5} x}+\frac{10 b^{3} c}{a^{6} x}-\frac{e}{3 a^{3} x^{3}}+\frac{b d}{a^{4} x^{3}}-\frac{2 b^{2} c}{a^{5} x^{3}}-\frac{d}{5 a^{3} x^{5}}+\frac{3 b c}{5 a^{4} x^{5}}-\frac{c}{7 a^{3} x^{7}}"," ",0,"-7/8/a^3*b^2/(b*x^2+a)^2*x^3*f+11/8/a^4*b^3/(b*x^2+a)^2*x^3*e-15/8/a^5*b^4/(b*x^2+a)^2*x^3*d+19/8/a^6*b^5/(b*x^2+a)^2*x^3*c-9/8/a^2*b/(b*x^2+a)^2*f*x+13/8/a^3*b^2/(b*x^2+a)^2*e*x-17/8/a^4*b^3/(b*x^2+a)^2*d*x+21/8/a^5*b^4/(b*x^2+a)^2*c*x-15/8/a^3*b/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f+35/8/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e-63/8/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d+99/8/a^6*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/7*c/a^3/x^7-1/5/a^3/x^5*d+3/5/a^4/x^5*b*c-1/3/a^3/x^3*e+1/a^4/x^3*b*d-2/a^5/x^3*b^2*c-1/a^3/x*f+3/a^4/x*b*e-6/a^5/x*b^2*d+10/a^6/x*b^3*c","A"
142,1,401,256,0.022000," ","int((f*x^6+e*x^4+d*x^2+c)/x^10/(b*x^2+a)^3,x)","\frac{11 b^{3} f \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}-\frac{15 b^{4} e \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}+\frac{19 b^{5} d \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{6}}-\frac{23 b^{6} c \,x^{3}}{8 \left(b \,x^{2}+a \right)^{2} a^{7}}+\frac{13 b^{2} f x}{8 \left(b \,x^{2}+a \right)^{2} a^{3}}-\frac{17 b^{3} e x}{8 \left(b \,x^{2}+a \right)^{2} a^{4}}+\frac{21 b^{4} d x}{8 \left(b \,x^{2}+a \right)^{2} a^{5}}-\frac{25 b^{5} c x}{8 \left(b \,x^{2}+a \right)^{2} a^{6}}+\frac{35 b^{2} f \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{4}}-\frac{63 b^{3} e \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{5}}+\frac{99 b^{4} d \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{6}}-\frac{143 b^{5} c \arctan \left(\frac{b x}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a^{7}}+\frac{3 b f}{a^{4} x}-\frac{6 b^{2} e}{a^{5} x}+\frac{10 b^{3} d}{a^{6} x}-\frac{15 b^{4} c}{a^{7} x}-\frac{f}{3 a^{3} x^{3}}+\frac{b e}{a^{4} x^{3}}-\frac{2 b^{2} d}{a^{5} x^{3}}+\frac{10 b^{3} c}{3 a^{6} x^{3}}-\frac{e}{5 a^{3} x^{5}}+\frac{3 b d}{5 a^{4} x^{5}}-\frac{6 b^{2} c}{5 a^{5} x^{5}}-\frac{d}{7 a^{3} x^{7}}+\frac{3 b c}{7 a^{4} x^{7}}-\frac{c}{9 a^{3} x^{9}}"," ",0,"3/5/a^4/x^5*b*d-6/5/a^5/x^5*b^2*c+1/a^4/x^3*b*e-2/a^5/x^3*b^2*d+10/3/a^6/x^3*b^3*c+3*b/a^4/x*f-6*b^2/a^5/x*e+10*b^3/a^6/x*d-15*b^4/a^7/x*c+3/7/a^4/x^7*b*c-1/9*c/a^3/x^9+19/8/a^6*b^5/(b*x^2+a)^2*x^3*d-23/8/a^7*b^6/(b*x^2+a)^2*x^3*c+13/8/a^3*b^2/(b*x^2+a)^2*f*x-17/8/a^4*b^3/(b*x^2+a)^2*e*x+21/8/a^5*b^4/(b*x^2+a)^2*d*x-25/8/a^6*b^5/(b*x^2+a)^2*c*x+35/8/a^4*b^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*f-63/8/a^5*b^3/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*e+99/8/a^6*b^4/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*d-143/8/a^7*b^5/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*x)*c-1/7/a^3/x^7*d-1/5/a^3/x^5*e-1/3/a^3/x^3*f+11/8/a^4*b^3/(b*x^2+a)^2*x^3*f-15/8/a^5*b^4/(b*x^2+a)^2*x^3*e","A"
143,1,193,192,0.008000," ","int(x^5*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-315 f \,x^{10} b^{5}+350 a \,b^{4} f \,x^{8}-385 b^{5} e \,x^{8}-400 a^{2} b^{3} f \,x^{6}+440 a \,b^{4} e \,x^{6}-495 b^{5} d \,x^{6}+480 a^{3} b^{2} f \,x^{4}-528 a^{2} b^{3} e \,x^{4}+594 a \,b^{4} d \,x^{4}-693 b^{5} c \,x^{4}-640 a^{4} b f \,x^{2}+704 a^{3} b^{2} e \,x^{2}-792 a^{2} b^{3} d \,x^{2}+924 a \,b^{4} c \,x^{2}+1280 a^{5} f -1408 a^{4} b e +1584 a^{3} b^{2} d -1848 a^{2} b^{3} c \right)}{3465 b^{6}}"," ",0,"-1/3465*(b*x^2+a)^(1/2)*(-315*b^5*f*x^10+350*a*b^4*f*x^8-385*b^5*e*x^8-400*a^2*b^3*f*x^6+440*a*b^4*e*x^6-495*b^5*d*x^6+480*a^3*b^2*f*x^4-528*a^2*b^3*e*x^4+594*a*b^4*d*x^4-693*b^5*c*x^4-640*a^4*b*f*x^2+704*a^3*b^2*e*x^2-792*a^2*b^3*d*x^2+924*a*b^4*c*x^2+1280*a^5*f-1408*a^4*b*e+1584*a^3*b^2*d-1848*a^2*b^3*c)/b^6","A"
144,1,145,149,0.008000," ","int(x^3*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, \left(35 f \,x^{8} b^{4}-40 a \,b^{3} f \,x^{6}+45 b^{4} e \,x^{6}+48 a^{2} b^{2} f \,x^{4}-54 a \,b^{3} e \,x^{4}+63 b^{4} d \,x^{4}-64 a^{3} b f \,x^{2}+72 a^{2} b^{2} e \,x^{2}-84 a \,b^{3} d \,x^{2}+105 b^{4} c \,x^{2}+128 a^{4} f -144 a^{3} b e +168 a^{2} b^{2} d -210 a \,b^{3} c \right)}{315 b^{5}}"," ",0,"1/315*(b*x^2+a)^(1/2)*(35*b^4*f*x^8-40*a*b^3*f*x^6+45*b^4*e*x^6+48*a^2*b^2*f*x^4-54*a*b^3*e*x^4+63*b^4*d*x^4-64*a^3*b*f*x^2+72*a^2*b^2*e*x^2-84*a*b^3*d*x^2+105*b^4*c*x^2+128*a^4*f-144*a^3*b*e+168*a^2*b^2*d-210*a*b^3*c)/b^5","A"
145,1,99,107,0.004000," ","int(x*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-15 f \,x^{6} b^{3}+18 a \,b^{2} f \,x^{4}-21 b^{3} e \,x^{4}-24 a^{2} b f \,x^{2}+28 a \,b^{2} e \,x^{2}-35 b^{3} d \,x^{2}+48 a^{3} f -56 a^{2} b e +70 a \,b^{2} d -105 b^{3} c \right)}{105 b^{4}}"," ",0,"-1/105*(b*x^2+a)^(1/2)*(-15*b^3*f*x^6+18*a*b^2*f*x^4-21*b^3*e*x^4-24*a^2*b*f*x^2+28*a*b^2*e*x^2-35*b^3*d*x^2+48*a^3*f-56*a^2*b*e+70*a*b^2*d-105*b^3*c)/b^4","A"
146,1,134,87,0.009000," ","int((f*x^6+e*x^4+d*x^2+c)/x/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{4}}{5 b}-\frac{4 \sqrt{b \,x^{2}+a}\, a f \,x^{2}}{15 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e \,x^{2}}{3 b}-\frac{c \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{8 \sqrt{b \,x^{2}+a}\, a^{2} f}{15 b^{3}}-\frac{2 \sqrt{b \,x^{2}+a}\, a e}{3 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, d}{b}"," ",0,"1/5*f*x^4/b*(b*x^2+a)^(1/2)-4/15*f*a/b^2*x^2*(b*x^2+a)^(1/2)+8/15*f*a^2/b^3*(b*x^2+a)^(1/2)+1/3*e*x^2/b*(b*x^2+a)^(1/2)-2/3*e*a/b^2*(b*x^2+a)^(1/2)+d/b*(b*x^2+a)^(1/2)-c/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
147,1,127,82,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/x^3/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{2}}{3 b}-\frac{d \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b c \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{2 \sqrt{b \,x^{2}+a}\, a f}{3 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e}{b}-\frac{\sqrt{b \,x^{2}+a}\, c}{2 a \,x^{2}}"," ",0,"1/3*f*x^2/b*(b*x^2+a)^(1/2)-2/3*f*a/b^2*(b*x^2+a)^(1/2)+e/b*(b*x^2+a)^(1/2)-1/2*c*(b*x^2+a)^(1/2)/a/x^2+1/2*c*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-d/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
148,1,162,96,0.011000," ","int((f*x^6+e*x^4+d*x^2+c)/x^5/(b*x^2+a)^(1/2),x)","-\frac{e \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b d \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} c \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{\sqrt{b \,x^{2}+a}\, f}{b}-\frac{\sqrt{b \,x^{2}+a}\, d}{2 a \,x^{2}}+\frac{3 \sqrt{b \,x^{2}+a}\, b c}{8 a^{2} x^{2}}-\frac{\sqrt{b \,x^{2}+a}\, c}{4 a \,x^{4}}"," ",0,"f*(b*x^2+a)^(1/2)/b-1/2*d/a/x^2*(b*x^2+a)^(1/2)+1/2*d*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/4*c*(b*x^2+a)^(1/2)/a/x^4+3/8*c/a^2*b/x^2*(b*x^2+a)^(1/2)-3/8*c/a^(5/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-e/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
149,1,238,126,0.013000," ","int((f*x^6+e*x^4+d*x^2+c)/x^7/(b*x^2+a)^(1/2),x)","-\frac{f \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{\sqrt{a}}+\frac{b e \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} d \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{5 b^{3} c \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, e}{2 a \,x^{2}}+\frac{3 \sqrt{b \,x^{2}+a}\, b d}{8 a^{2} x^{2}}-\frac{5 \sqrt{b \,x^{2}+a}\, b^{2} c}{16 a^{3} x^{2}}-\frac{\sqrt{b \,x^{2}+a}\, d}{4 a \,x^{4}}+\frac{5 \sqrt{b \,x^{2}+a}\, b c}{24 a^{2} x^{4}}-\frac{\sqrt{b \,x^{2}+a}\, c}{6 a \,x^{6}}"," ",0,"-1/2*e/a/x^2*(b*x^2+a)^(1/2)+1/2*e*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/6*c*(b*x^2+a)^(1/2)/a/x^6+5/24*c/a^2*b/x^4*(b*x^2+a)^(1/2)-5/16*c/a^3*b^2/x^2*(b*x^2+a)^(1/2)+5/16*c/a^(7/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/4*d/a/x^4*(b*x^2+a)^(1/2)+3/8*d/a^2*b/x^2*(b*x^2+a)^(1/2)-3/8*d/a^(5/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-f/a^(1/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
150,1,320,171,0.016000," ","int((f*x^6+e*x^4+d*x^2+c)/x^9/(b*x^2+a)^(1/2),x)","\frac{b f \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{2 a^{\frac{3}{2}}}-\frac{3 b^{2} e \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{8 a^{\frac{5}{2}}}+\frac{5 b^{3} d \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{16 a^{\frac{7}{2}}}-\frac{35 b^{4} c \ln \left(\frac{2 a +2 \sqrt{b \,x^{2}+a}\, \sqrt{a}}{x}\right)}{128 a^{\frac{9}{2}}}-\frac{\sqrt{b \,x^{2}+a}\, f}{2 a \,x^{2}}+\frac{3 \sqrt{b \,x^{2}+a}\, b e}{8 a^{2} x^{2}}-\frac{5 \sqrt{b \,x^{2}+a}\, b^{2} d}{16 a^{3} x^{2}}+\frac{35 \sqrt{b \,x^{2}+a}\, b^{3} c}{128 a^{4} x^{2}}-\frac{\sqrt{b \,x^{2}+a}\, e}{4 a \,x^{4}}+\frac{5 \sqrt{b \,x^{2}+a}\, b d}{24 a^{2} x^{4}}-\frac{35 \sqrt{b \,x^{2}+a}\, b^{2} c}{192 a^{3} x^{4}}-\frac{\sqrt{b \,x^{2}+a}\, d}{6 a \,x^{6}}+\frac{7 \sqrt{b \,x^{2}+a}\, b c}{48 a^{2} x^{6}}-\frac{\sqrt{b \,x^{2}+a}\, c}{8 a \,x^{8}}"," ",0,"-1/8*c*(b*x^2+a)^(1/2)/a/x^8+7/48*c/a^2*b/x^6*(b*x^2+a)^(1/2)-35/192*c/a^3*b^2/x^4*(b*x^2+a)^(1/2)+35/128*c/a^4*b^3/x^2*(b*x^2+a)^(1/2)-35/128*c/a^(9/2)*b^4*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/2*f/a/x^2*(b*x^2+a)^(1/2)+1/2*f*b/a^(3/2)*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/6*d/a/x^6*(b*x^2+a)^(1/2)+5/24*d/a^2*b/x^4*(b*x^2+a)^(1/2)-5/16*d/a^3*b^2/x^2*(b*x^2+a)^(1/2)+5/16*d/a^(7/2)*b^3*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)-1/4*e/a/x^4*(b*x^2+a)^(1/2)+3/8*e/a^2*b/x^2*(b*x^2+a)^(1/2)-3/8*e/a^(5/2)*b^2*ln((2*a+2*(b*x^2+a)^(1/2)*a^(1/2))/x)","A"
151,1,368,217,0.024000," ","int(x^4*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{9}}{10 b}-\frac{9 \sqrt{b \,x^{2}+a}\, a f \,x^{7}}{80 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e \,x^{7}}{8 b}+\frac{21 \sqrt{b \,x^{2}+a}\, a^{2} f \,x^{5}}{160 b^{3}}-\frac{7 \sqrt{b \,x^{2}+a}\, a e \,x^{5}}{48 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, d \,x^{5}}{6 b}-\frac{21 \sqrt{b \,x^{2}+a}\, a^{3} f \,x^{3}}{128 b^{4}}+\frac{35 \sqrt{b \,x^{2}+a}\, a^{2} e \,x^{3}}{192 b^{3}}-\frac{5 \sqrt{b \,x^{2}+a}\, a d \,x^{3}}{24 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, c \,x^{3}}{4 b}-\frac{63 a^{5} f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{256 b^{\frac{11}{2}}}+\frac{35 a^{4} e \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{9}{2}}}-\frac{5 a^{3} d \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{7}{2}}}+\frac{3 a^{2} c \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}+\frac{63 \sqrt{b \,x^{2}+a}\, a^{4} f x}{256 b^{5}}-\frac{35 \sqrt{b \,x^{2}+a}\, a^{3} e x}{128 b^{4}}+\frac{5 \sqrt{b \,x^{2}+a}\, a^{2} d x}{16 b^{3}}-\frac{3 \sqrt{b \,x^{2}+a}\, a c x}{8 b^{2}}"," ",0,"1/10*f*x^9*(b*x^2+a)^(1/2)/b-9/80*f*a/b^2*x^7*(b*x^2+a)^(1/2)+21/160*f*a^2/b^3*x^5*(b*x^2+a)^(1/2)-21/128*f*a^3/b^4*x^3*(b*x^2+a)^(1/2)+63/256*f*a^4/b^5*x*(b*x^2+a)^(1/2)-63/256*f*a^5/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/8*e*x^7/b*(b*x^2+a)^(1/2)-7/48*e*a/b^2*x^5*(b*x^2+a)^(1/2)+35/192*e*a^2/b^3*x^3*(b*x^2+a)^(1/2)-35/128*e*a^3/b^4*x*(b*x^2+a)^(1/2)+35/128*e*a^4/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/6*d*x^5/b*(b*x^2+a)^(1/2)-5/24*d*a/b^2*x^3*(b*x^2+a)^(1/2)+5/16*d*a^2/b^3*x*(b*x^2+a)^(1/2)-5/16*d*a^3/b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/4*c*x^3/b*(b*x^2+a)^(1/2)-3/8*c*a/b^2*x*(b*x^2+a)^(1/2)+3/8*c*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
152,1,284,170,0.010000," ","int(x^2*(f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{7}}{8 b}-\frac{7 \sqrt{b \,x^{2}+a}\, a f \,x^{5}}{48 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e \,x^{5}}{6 b}+\frac{35 \sqrt{b \,x^{2}+a}\, a^{2} f \,x^{3}}{192 b^{3}}-\frac{5 \sqrt{b \,x^{2}+a}\, a e \,x^{3}}{24 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, d \,x^{3}}{4 b}+\frac{35 a^{4} f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{128 b^{\frac{9}{2}}}-\frac{5 a^{3} e \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{7}{2}}}+\frac{3 a^{2} d \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}-\frac{a c \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}-\frac{35 \sqrt{b \,x^{2}+a}\, a^{3} f x}{128 b^{4}}+\frac{5 \sqrt{b \,x^{2}+a}\, a^{2} e x}{16 b^{3}}-\frac{3 \sqrt{b \,x^{2}+a}\, a d x}{8 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, c x}{2 b}"," ",0,"1/8*f*x^7*(b*x^2+a)^(1/2)/b-7/48*f*a/b^2*x^5*(b*x^2+a)^(1/2)+35/192*f*a^2/b^3*x^3*(b*x^2+a)^(1/2)-35/128*f*a^3/b^4*x*(b*x^2+a)^(1/2)+35/128*f*a^4/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/6*e*x^5/b*(b*x^2+a)^(1/2)-5/24*e*a/b^2*x^3*(b*x^2+a)^(1/2)+5/16*e*a^2/b^3*x*(b*x^2+a)^(1/2)-5/16*e*a^3/b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/4*d*x^3/b*(b*x^2+a)^(1/2)-3/8*d*a/b^2*x*(b*x^2+a)^(1/2)+3/8*d*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*c*x/b*(b*x^2+a)^(1/2)-1/2*c*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","A"
153,1,203,125,0.007000," ","int((f*x^6+e*x^4+d*x^2+c)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{5}}{6 b}-\frac{5 \sqrt{b \,x^{2}+a}\, a f \,x^{3}}{24 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e \,x^{3}}{4 b}-\frac{5 a^{3} f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{7}{2}}}+\frac{3 a^{2} e \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}-\frac{a d \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{c \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}+\frac{5 \sqrt{b \,x^{2}+a}\, a^{2} f x}{16 b^{3}}-\frac{3 \sqrt{b \,x^{2}+a}\, a e x}{8 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, d x}{2 b}"," ",0,"1/6*f*x^5*(b*x^2+a)^(1/2)/b-5/24*f*a/b^2*x^3*(b*x^2+a)^(1/2)+5/16*f*a^2/b^3*x*(b*x^2+a)^(1/2)-5/16*f*a^3/b^(7/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/4*e*x^3/b*(b*x^2+a)^(1/2)-3/8*e*a/b^2*x*(b*x^2+a)^(1/2)+3/8*e*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*d*x/b*(b*x^2+a)^(1/2)-1/2*d*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+c*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)","A"
154,1,140,99,0.010000," ","int((f*x^6+e*x^4+d*x^2+c)/x^2/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, f \,x^{3}}{4 b}+\frac{3 a^{2} f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{5}{2}}}-\frac{a e \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{d \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}-\frac{3 \sqrt{b \,x^{2}+a}\, a f x}{8 b^{2}}+\frac{\sqrt{b \,x^{2}+a}\, e x}{2 b}-\frac{\sqrt{b \,x^{2}+a}\, c}{a x}"," ",0,"1/4*f*x^3*(b*x^2+a)^(1/2)/b-3/8*f*a/b^2*x*(b*x^2+a)^(1/2)+3/8*f*a^2/b^(5/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*e*x/b*(b*x^2+a)^(1/2)-1/2*e*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+d*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)-c*(b*x^2+a)^(1/2)/a/x","A"
155,1,117,90,0.011000," ","int((f*x^6+e*x^4+d*x^2+c)/x^4/(b*x^2+a)^(1/2),x)","-\frac{a f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{3}{2}}}+\frac{e \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}+\frac{\sqrt{b \,x^{2}+a}\, f x}{2 b}-\frac{\sqrt{b \,x^{2}+a}\, d}{a x}+\frac{2 \sqrt{b \,x^{2}+a}\, b c}{3 a^{2} x}-\frac{\sqrt{b \,x^{2}+a}\, c}{3 a \,x^{3}}"," ",0,"1/2*f*x*(b*x^2+a)^(1/2)/b-1/2*f*a/b^(3/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+e*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)-1/3*c*(b*x^2+a)^(1/2)/a/x^3+2/3*c*b/a^2/x*(b*x^2+a)^(1/2)-d/a/x*(b*x^2+a)^(1/2)","A"
156,1,136,100,0.011000," ","int((f*x^6+e*x^4+d*x^2+c)/x^6/(b*x^2+a)^(1/2),x)","\frac{f \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{\sqrt{b}}-\frac{\sqrt{b \,x^{2}+a}\, e}{a x}+\frac{2 \sqrt{b \,x^{2}+a}\, b d}{3 a^{2} x}-\frac{8 \sqrt{b \,x^{2}+a}\, b^{2} c}{15 a^{3} x}-\frac{\sqrt{b \,x^{2}+a}\, d}{3 a \,x^{3}}+\frac{4 \sqrt{b \,x^{2}+a}\, b c}{15 a^{2} x^{3}}-\frac{\sqrt{b \,x^{2}+a}\, c}{5 a \,x^{5}}"," ",0,"f*ln(b^(1/2)*x+(b*x^2+a)^(1/2))/b^(1/2)-1/5*c*(b*x^2+a)^(1/2)/a/x^5+4/15*c/a^2*b/x^3*(b*x^2+a)^(1/2)-8/15*c/a^3*b^2/x*(b*x^2+a)^(1/2)-1/3*d/a/x^3*(b*x^2+a)^(1/2)+2/3*d*b/a^2/x*(b*x^2+a)^(1/2)-e/a/x*(b*x^2+a)^(1/2)","A"
157,1,111,124,0.006000," ","int((f*x^6+e*x^4+d*x^2+c)/x^8/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(105 a^{3} f \,x^{6}-70 a^{2} b e \,x^{6}+56 a \,b^{2} d \,x^{6}-48 b^{3} c \,x^{6}+35 a^{3} e \,x^{4}-28 a^{2} b d \,x^{4}+24 a \,b^{2} c \,x^{4}+21 a^{3} d \,x^{2}-18 a^{2} b c \,x^{2}+15 c \,a^{3}\right)}{105 a^{4} x^{7}}"," ",0,"-1/105*(b*x^2+a)^(1/2)*(105*a^3*f*x^6-70*a^2*b*e*x^6+56*a*b^2*d*x^6-48*b^3*c*x^6+35*a^3*e*x^4-28*a^2*b*d*x^4+24*a*b^2*c*x^4+21*a^3*d*x^2-18*a^2*b*c*x^2+15*a^3*c)/x^7/a^4","A"
158,1,157,169,0.007000," ","int((f*x^6+e*x^4+d*x^2+c)/x^10/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-210 a^{3} b f \,x^{8}+168 a^{2} b^{2} e \,x^{8}-144 a \,b^{3} d \,x^{8}+128 b^{4} c \,x^{8}+105 a^{4} f \,x^{6}-84 a^{3} b e \,x^{6}+72 a^{2} b^{2} d \,x^{6}-64 a \,b^{3} c \,x^{6}+63 a^{4} e \,x^{4}-54 a^{3} b d \,x^{4}+48 a^{2} b^{2} c \,x^{4}+45 a^{4} d \,x^{2}-40 a^{3} b c \,x^{2}+35 c \,a^{4}\right)}{315 a^{5} x^{9}}"," ",0,"-1/315*(b*x^2+a)^(1/2)*(-210*a^3*b*f*x^8+168*a^2*b^2*e*x^8-144*a*b^3*d*x^8+128*b^4*c*x^8+105*a^4*f*x^6-84*a^3*b*e*x^6+72*a^2*b^2*d*x^6-64*a*b^3*c*x^6+63*a^4*e*x^4-54*a^3*b*d*x^4+48*a^2*b^2*c*x^4+45*a^4*d*x^2-40*a^3*b*c*x^2+35*a^4*c)/x^9/a^5","A"
159,1,517,345,0.296000," ","int(x^8*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","\frac{D x^{13}}{6 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{C \,x^{11}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{13 D a \,x^{11}}{24 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}+\frac{B \,x^{9}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{11 C a \,x^{9}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}+\frac{143 D a^{2} x^{9}}{48 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{A \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{9 B a \,x^{7}}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{99 C \,a^{2} x^{7}}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}+\frac{429 D a^{3} x^{7}}{112 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{4}}-\frac{A \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{9 B a \,x^{5}}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}-\frac{99 C \,a^{2} x^{5}}{40 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{4}}+\frac{429 D a^{3} x^{5}}{80 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{5}}-\frac{A \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{3 B a \,x^{3}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}-\frac{33 C \,a^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{5}}+\frac{143 D a^{3} x^{3}}{16 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{6}}-\frac{A x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{9 B a x}{2 \sqrt{b \,x^{2}+a}\, b^{5}}-\frac{99 C \,a^{2} x}{8 \sqrt{b \,x^{2}+a}\, b^{6}}+\frac{429 D a^{3} x}{16 \sqrt{b \,x^{2}+a}\, b^{7}}+\frac{A \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}-\frac{9 B a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{11}{2}}}+\frac{99 C \,a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{13}{2}}}-\frac{429 D a^{3} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{16 b^{\frac{15}{2}}}"," ",0,"1/4*C*x^11/b/(b*x^2+a)^(7/2)+99/8*C*a^2/b^(13/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*B*x^9/b/(b*x^2+a)^(7/2)-9/2*B*a/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/6*D*x^13/b/(b*x^2+a)^(7/2)-429/16*D*a^3/b^(15/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/7*A*x^7/b/(b*x^2+a)^(7/2)-1/5*A/b^2*x^5/(b*x^2+a)^(5/2)-1/3*A/b^3*x^3/(b*x^2+a)^(3/2)-A/b^4*x/(b*x^2+a)^(1/2)+9/10*B*a/b^3*x^5/(b*x^2+a)^(5/2)+3/2*B*a/b^4*x^3/(b*x^2+a)^(3/2)+9/2*B*a/b^5*x/(b*x^2+a)^(1/2)-13/24*D*a/b^2*x^11/(b*x^2+a)^(7/2)+143/48*D*a^2/b^3*x^9/(b*x^2+a)^(7/2)+429/112*D*a^3/b^4*x^7/(b*x^2+a)^(7/2)+429/80*D*a^3/b^5*x^5/(b*x^2+a)^(5/2)+143/16*D*a^3/b^6*x^3/(b*x^2+a)^(3/2)+429/16*D*a^3/b^7*x/(b*x^2+a)^(1/2)-11/8*C*a/b^2*x^9/(b*x^2+a)^(7/2)-99/56*C*a^2/b^3*x^7/(b*x^2+a)^(7/2)-99/40*C*a^2/b^4*x^5/(b*x^2+a)^(5/2)-33/8*C*a^2/b^5*x^3/(b*x^2+a)^(3/2)+A/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-99/8*C*a^2/b^6*x/(b*x^2+a)^(1/2)+9/14*B*a/b^2*x^7/(b*x^2+a)^(7/2)","A"
160,1,460,247,0.011000," ","int(x^6*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","\frac{D x^{11}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{C \,x^{9}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{11 D a \,x^{9}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{B \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{9 C a \,x^{7}}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{99 D a^{2} x^{7}}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{A \,x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{B \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{9 C a \,x^{5}}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}-\frac{99 D a^{2} x^{5}}{40 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{4}}-\frac{5 A a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{15 A \,a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{B \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{3 C a \,x^{3}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}-\frac{33 D a^{2} x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{5}}+\frac{3 A a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{A x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{A x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{B x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{9 C a x}{2 \sqrt{b \,x^{2}+a}\, b^{5}}-\frac{99 D a^{2} x}{8 \sqrt{b \,x^{2}+a}\, b^{6}}+\frac{B \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}-\frac{9 C a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{11}{2}}}+\frac{99 D a^{2} \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{8 b^{\frac{13}{2}}}"," ",0,"1/4*D*x^11/b/(b*x^2+a)^(7/2)-11/8*D*a/b^2*x^9/(b*x^2+a)^(7/2)-99/56*D*a^2/b^3*x^7/(b*x^2+a)^(7/2)-99/40*D*a^2/b^4*x^5/(b*x^2+a)^(5/2)-33/8*D*a^2/b^5*x^3/(b*x^2+a)^(3/2)-99/8*D*a^2/b^6*x/(b*x^2+a)^(1/2)+99/8*D*a^2/b^(13/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*C*x^9/b/(b*x^2+a)^(7/2)+9/14*C*a/b^2*x^7/(b*x^2+a)^(7/2)+9/10*C*a/b^3*x^5/(b*x^2+a)^(5/2)+3/2*C*a/b^4*x^3/(b*x^2+a)^(3/2)+9/2*C*a/b^5*x/(b*x^2+a)^(1/2)-9/2*C*a/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/7/(b*x^2+a)^(7/2)*B/b*x^7-1/5/(b*x^2+a)^(5/2)*B/b^2*x^5-1/3/(b*x^2+a)^(3/2)*B/b^3*x^3-1/(b*x^2+a)^(1/2)*B/b^4*x+B/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/2/(b*x^2+a)^(7/2)*A/b*x^5-5/8/(b*x^2+a)^(7/2)*A*a/b^2*x^3-15/56/(b*x^2+a)^(7/2)*A*a^2/b^3*x+3/56/(b*x^2+a)^(5/2)*A*a/b^3*x+1/14/(b*x^2+a)^(3/2)*A/b^3*x+1/7/(b*x^2+a)^(1/2)*A/a/b^3*x","A"
161,1,405,182,0.013000," ","int(x^4*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","\frac{D x^{9}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{C \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{9 D a \,x^{7}}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{B \,x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{C \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{9 D a \,x^{5}}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}-\frac{A \,x^{3}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{5 B a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{3 A a x}{28 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{15 B \,a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{C \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{3 D a \,x^{3}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}+\frac{3 A x}{140 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{3 B a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{A x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}+\frac{B x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{2 A x}{35 \sqrt{b \,x^{2}+a}\, a^{2} b^{2}}+\frac{B x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{C x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{9 D a x}{2 \sqrt{b \,x^{2}+a}\, b^{5}}+\frac{C \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}-\frac{9 D a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{11}{2}}}"," ",0,"1/2*D*x^9/b/(b*x^2+a)^(7/2)+9/14*D*a/b^2*x^7/(b*x^2+a)^(7/2)+9/10*D*a/b^3*x^5/(b*x^2+a)^(5/2)+3/2*D*a/b^4*x^3/(b*x^2+a)^(3/2)+9/2*D*a/b^5*x/(b*x^2+a)^(1/2)-9/2*D*a/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/7/(b*x^2+a)^(7/2)*C/b*x^7-1/5/(b*x^2+a)^(5/2)*C/b^2*x^5-1/3/(b*x^2+a)^(3/2)*C/b^3*x^3-1/(b*x^2+a)^(1/2)*C/b^4*x+C/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/2*B*x^5/b/(b*x^2+a)^(7/2)-5/8*B*a/b^2*x^3/(b*x^2+a)^(7/2)-15/56*B*a^2/b^3*x/(b*x^2+a)^(7/2)+3/56*B*a/b^3*x/(b*x^2+a)^(5/2)+1/14*B/b^3*x/(b*x^2+a)^(3/2)+1/7*B/a/b^3*x/(b*x^2+a)^(1/2)-1/4*A*x^3/b/(b*x^2+a)^(7/2)-3/28*A*a/b^2*x/(b*x^2+a)^(7/2)+3/140*A/b^2*x/(b*x^2+a)^(5/2)+1/35*A/a/b^2*x/(b*x^2+a)^(3/2)+2/35*A/a^2/b^2*x/(b*x^2+a)^(1/2)","B"
162,1,363,159,0.010000," ","int(x^2*(D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","-\frac{D x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{C \,x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{D x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}-\frac{B \,x^{3}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{5 C a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{A x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{3 B a x}{28 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{15 C \,a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{D x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{A x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a b}+\frac{3 B x}{140 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{3 C a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{4 A x}{105 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}+\frac{B x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}+\frac{C x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{8 A x}{105 \sqrt{b \,x^{2}+a}\, a^{3} b}+\frac{2 B x}{35 \sqrt{b \,x^{2}+a}\, a^{2} b^{2}}+\frac{C x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{D x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{D \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/7*D*x^7/b/(b*x^2+a)^(7/2)-1/5*D/b^2*x^5/(b*x^2+a)^(5/2)-1/3*D/b^3*x^3/(b*x^2+a)^(3/2)-D*x/b^4/(b*x^2+a)^(1/2)+D/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/2*C*x^5/b/(b*x^2+a)^(7/2)-5/8*C*a/b^2*x^3/(b*x^2+a)^(7/2)-15/56*C*a^2/b^3*x/(b*x^2+a)^(7/2)+3/56*C*a/b^3*x/(b*x^2+a)^(5/2)+1/14*C/b^3*x/(b*x^2+a)^(3/2)+1/7*C/a/b^3*x/(b*x^2+a)^(1/2)-1/4*B*x^3/b/(b*x^2+a)^(7/2)-3/28*B*a/b^2*x/(b*x^2+a)^(7/2)+3/140*B/b^2*x/(b*x^2+a)^(5/2)+1/35*B/a/b^2*x/(b*x^2+a)^(3/2)+2/35*B*x/a^2/b^2/(b*x^2+a)^(1/2)-1/7*A/b*x/(b*x^2+a)^(7/2)+1/35*A/a/b*x/(b*x^2+a)^(5/2)+4/105*A/a^2/b*x/(b*x^2+a)^(3/2)+8/105*A/a^3/b*x/(b*x^2+a)^(1/2)","B"
163,1,109,120,0.006000," ","int((D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","\frac{\left(48 A \,b^{3} x^{6}+8 B a \,b^{2} x^{6}+6 a^{2} b C \,x^{6}+15 D a^{3} x^{6}+168 A a \,b^{2} x^{4}+28 B \,a^{2} b \,x^{4}+21 a^{3} C \,x^{4}+210 A \,a^{2} b \,x^{2}+35 B \,a^{3} x^{2}+105 A \,a^{3}\right) x}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{4}}"," ",0,"1/105*x*(48*A*b^3*x^6+8*B*a*b^2*x^6+6*C*a^2*b*x^6+15*D*a^3*x^6+168*A*a*b^2*x^4+28*B*a^2*b*x^4+21*C*a^3*x^4+210*A*a^2*b*x^2+35*B*a^3*x^2+105*A*a^3)/(b*x^2+a)^(7/2)/a^4","A"
164,1,157,169,0.008000," ","int((D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^(9/2),x)","-\frac{384 A \,b^{4} x^{8}-48 B a \,b^{3} x^{8}-8 C \,a^{2} b^{2} x^{8}-6 D a^{3} b \,x^{8}+1344 A a \,b^{3} x^{6}-168 B \,a^{2} b^{2} x^{6}-28 C \,a^{3} b \,x^{6}-21 D a^{4} x^{6}+1680 A \,a^{2} b^{2} x^{4}-210 B \,a^{3} b \,x^{4}-35 C \,a^{4} x^{4}+840 A \,a^{3} b \,x^{2}-105 B \,a^{4} x^{2}+105 A \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{5} x}"," ",0,"-1/105*(384*A*b^4*x^8-48*B*a*b^3*x^8-8*C*a^2*b^2*x^8-6*D*a^3*b*x^8+1344*A*a*b^3*x^6-168*B*a^2*b^2*x^6-28*C*a^3*b*x^6-21*D*a^4*x^6+1680*A*a^2*b^2*x^4-210*B*a^3*b*x^4-35*C*a^4*x^4+840*A*a^3*b*x^2-105*B*a^4*x^2+105*A*a^4)/(b*x^2+a)^(7/2)/x/a^5","A"
165,1,205,218,0.010000," ","int((D*x^6+C*x^4+B*x^2+A)/x^4/(b*x^2+a)^(9/2),x)","-\frac{-1280 A \,b^{5} x^{10}+384 B a \,b^{4} x^{10}-48 C \,a^{2} b^{3} x^{10}-8 D a^{3} b^{2} x^{10}-4480 A a \,b^{4} x^{8}+1344 B \,a^{2} b^{3} x^{8}-168 C \,a^{3} b^{2} x^{8}-28 D a^{4} b \,x^{8}-5600 A \,a^{2} b^{3} x^{6}+1680 B \,a^{3} b^{2} x^{6}-210 C \,a^{4} b \,x^{6}-35 D a^{5} x^{6}-2800 A \,a^{3} b^{2} x^{4}+840 B \,a^{4} b \,x^{4}-105 C \,a^{5} x^{4}-350 A \,a^{4} b \,x^{2}+105 B \,a^{5} x^{2}+35 A \,a^{5}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{6} x^{3}}"," ",0,"-1/105*(-1280*A*b^5*x^10+384*B*a*b^4*x^10-48*C*a^2*b^3*x^10-8*D*a^3*b^2*x^10-4480*A*a*b^4*x^8+1344*B*a^2*b^3*x^8-168*C*a^3*b^2*x^8-28*D*a^4*b*x^8-5600*A*a^2*b^3*x^6+1680*B*a^3*b^2*x^6-210*C*a^4*b*x^6-35*D*a^5*x^6-2800*A*a^3*b^2*x^4+840*B*a^4*b*x^4-105*C*a^5*x^4-350*A*a^4*b*x^2+105*B*a^5*x^2+35*A*a^5)/(b*x^2+a)^(7/2)/x^3/a^6","A"
166,1,253,252,0.009000," ","int((D*x^6+C*x^4+B*x^2+A)/x^6/(b*x^2+a)^(9/2),x)","-\frac{3072 A \,b^{6} x^{12}-1280 B a \,b^{5} x^{12}+384 C \,a^{2} b^{4} x^{12}-48 D a^{3} b^{3} x^{12}+10752 A a \,b^{5} x^{10}-4480 B \,a^{2} b^{4} x^{10}+1344 C \,a^{3} b^{3} x^{10}-168 D a^{4} b^{2} x^{10}+13440 A \,a^{2} b^{4} x^{8}-5600 B \,a^{3} b^{3} x^{8}+1680 C \,a^{4} b^{2} x^{8}-210 D a^{5} b \,x^{8}+6720 A \,a^{3} b^{3} x^{6}-2800 B \,a^{4} b^{2} x^{6}+840 C \,a^{5} b \,x^{6}-105 D a^{6} x^{6}+840 A \,a^{4} b^{2} x^{4}-350 B \,a^{5} b \,x^{4}+105 C \,a^{6} x^{4}-84 A \,a^{5} b \,x^{2}+35 B \,a^{6} x^{2}+21 A \,a^{6}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{7} x^{5}}"," ",0,"-1/105*(3072*A*b^6*x^12-1280*B*a*b^5*x^12+384*C*a^2*b^4*x^12-48*D*a^3*b^3*x^12+10752*A*a*b^5*x^10-4480*B*a^2*b^4*x^10+1344*C*a^3*b^3*x^10-168*D*a^4*b^2*x^10+13440*A*a^2*b^4*x^8-5600*B*a^3*b^3*x^8+1680*C*a^4*b^2*x^8-210*D*a^5*b*x^8+6720*A*a^3*b^3*x^6-2800*B*a^4*b^2*x^6+840*C*a^5*b*x^6-105*D*a^6*x^6+840*A*a^4*b^2*x^4-350*B*a^5*b*x^4+105*C*a^6*x^4-84*A*a^5*b*x^2+35*B*a^6*x^2+21*A*a^6)/(b*x^2+a)^(7/2)/x^5/a^7","A"
167,1,301,301,0.010000," ","int((D*x^6+C*x^4+B*x^2+A)/x^8/(b*x^2+a)^(9/2),x)","-\frac{-6144 A \,b^{7} x^{14}+3072 B a \,b^{6} x^{14}-1280 C \,a^{2} b^{5} x^{14}+384 D a^{3} b^{4} x^{14}-21504 A a \,b^{6} x^{12}+10752 B \,a^{2} b^{5} x^{12}-4480 C \,a^{3} b^{4} x^{12}+1344 D a^{4} b^{3} x^{12}-26880 A \,a^{2} b^{5} x^{10}+13440 B \,a^{3} b^{4} x^{10}-5600 C \,a^{4} b^{3} x^{10}+1680 D a^{5} b^{2} x^{10}-13440 A \,a^{3} b^{4} x^{8}+6720 B \,a^{4} b^{3} x^{8}-2800 C \,a^{5} b^{2} x^{8}+840 D a^{6} b \,x^{8}-1680 A \,a^{4} b^{3} x^{6}+840 B \,a^{5} b^{2} x^{6}-350 C \,a^{6} b \,x^{6}+105 D a^{7} x^{6}+168 A \,a^{5} b^{2} x^{4}-84 B \,a^{6} b \,x^{4}+35 C \,a^{7} x^{4}-42 A \,a^{6} b \,x^{2}+21 B \,a^{7} x^{2}+15 A \,a^{7}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{8} x^{7}}"," ",0,"-1/105*(-6144*A*b^7*x^14+3072*B*a*b^6*x^14-1280*C*a^2*b^5*x^14+384*D*a^3*b^4*x^14-21504*A*a*b^6*x^12+10752*B*a^2*b^5*x^12-4480*C*a^3*b^4*x^12+1344*D*a^4*b^3*x^12-26880*A*a^2*b^5*x^10+13440*B*a^3*b^4*x^10-5600*C*a^4*b^3*x^10+1680*D*a^5*b^2*x^10-13440*A*a^3*b^4*x^8+6720*B*a^4*b^3*x^8-2800*C*a^5*b^2*x^8+840*D*a^6*b*x^8-1680*A*a^4*b^3*x^6+840*B*a^5*b^2*x^6-350*C*a^6*b*x^6+105*D*a^7*x^6+168*A*a^5*b^2*x^4-84*B*a^6*b*x^4+35*C*a^7*x^4-42*A*a^6*b*x^2+21*B*a^7*x^2+15*A*a^7)/(b*x^2+a)^(7/2)/x^7/a^8","A"
168,1,349,356,0.010000," ","int((D*x^6+C*x^4+B*x^2+A)/x^10/(b*x^2+a)^(9/2),x)","-\frac{32768 A \,b^{8} x^{16}-18432 B a \,b^{7} x^{16}+9216 C \,a^{2} b^{6} x^{16}-3840 D a^{3} b^{5} x^{16}+114688 A a \,b^{7} x^{14}-64512 B \,a^{2} b^{6} x^{14}+32256 C \,a^{3} b^{5} x^{14}-13440 D a^{4} b^{4} x^{14}+143360 A \,a^{2} b^{6} x^{12}-80640 B \,a^{3} b^{5} x^{12}+40320 C \,a^{4} b^{4} x^{12}-16800 D a^{5} b^{3} x^{12}+71680 A \,a^{3} b^{5} x^{10}-40320 B \,a^{4} b^{4} x^{10}+20160 C \,a^{5} b^{3} x^{10}-8400 D a^{6} b^{2} x^{10}+8960 A \,a^{4} b^{4} x^{8}-5040 B \,a^{5} b^{3} x^{8}+2520 C \,a^{6} b^{2} x^{8}-1050 D a^{7} b \,x^{8}-896 A \,a^{5} b^{3} x^{6}+504 B \,a^{6} b^{2} x^{6}-252 C \,a^{7} b \,x^{6}+105 D a^{8} x^{6}+224 A \,a^{6} b^{2} x^{4}-126 B \,a^{7} b \,x^{4}+63 C \,a^{8} x^{4}-80 A \,a^{7} b \,x^{2}+45 B \,a^{8} x^{2}+35 A \,a^{8}}{315 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{9} x^{9}}"," ",0,"-1/315*(32768*A*b^8*x^16-18432*B*a*b^7*x^16+9216*C*a^2*b^6*x^16-3840*D*a^3*b^5*x^16+114688*A*a*b^7*x^14-64512*B*a^2*b^6*x^14+32256*C*a^3*b^5*x^14-13440*D*a^4*b^4*x^14+143360*A*a^2*b^6*x^12-80640*B*a^3*b^5*x^12+40320*C*a^4*b^4*x^12-16800*D*a^5*b^3*x^12+71680*A*a^3*b^5*x^10-40320*B*a^4*b^4*x^10+20160*C*a^5*b^3*x^10-8400*D*a^6*b^2*x^10+8960*A*a^4*b^4*x^8-5040*B*a^5*b^3*x^8+2520*C*a^6*b^2*x^8-1050*D*a^7*b*x^8-896*A*a^5*b^3*x^6+504*B*a^6*b^2*x^6-252*C*a^7*b*x^6+105*D*a^8*x^6+224*A*a^6*b^2*x^4-126*B*a^7*b*x^4+63*C*a^8*x^4-80*A*a^7*b*x^2+45*B*a^8*x^2+35*A*a^8)/(b*x^2+a)^(7/2)/x^9/a^9","A"
169,1,193,192,0.007000," ","int((f*x^11+e*x^9+d*x^7+c*x^5)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-315 f \,x^{10} b^{5}+350 a \,b^{4} f \,x^{8}-385 b^{5} e \,x^{8}-400 a^{2} b^{3} f \,x^{6}+440 a \,b^{4} e \,x^{6}-495 b^{5} d \,x^{6}+480 a^{3} b^{2} f \,x^{4}-528 a^{2} b^{3} e \,x^{4}+594 a \,b^{4} d \,x^{4}-693 b^{5} c \,x^{4}-640 a^{4} b f \,x^{2}+704 a^{3} b^{2} e \,x^{2}-792 a^{2} b^{3} d \,x^{2}+924 a \,b^{4} c \,x^{2}+1280 a^{5} f -1408 a^{4} b e +1584 a^{3} b^{2} d -1848 a^{2} b^{3} c \right)}{3465 b^{6}}"," ",0,"-1/3465*(b*x^2+a)^(1/2)*(-315*b^5*f*x^10+350*a*b^4*f*x^8-385*b^5*e*x^8-400*a^2*b^3*f*x^6+440*a*b^4*e*x^6-495*b^5*d*x^6+480*a^3*b^2*f*x^4-528*a^2*b^3*e*x^4+594*a*b^4*d*x^4-693*b^5*c*x^4-640*a^4*b*f*x^2+704*a^3*b^2*e*x^2-792*a^2*b^3*d*x^2+924*a*b^4*c*x^2+1280*a^5*f-1408*a^4*b*e+1584*a^3*b^2*d-1848*a^2*b^3*c)/b^6","A"
170,1,145,149,0.007000," ","int((f*x^9+e*x^7+d*x^5+c*x^3)/(b*x^2+a)^(1/2),x)","\frac{\sqrt{b \,x^{2}+a}\, \left(35 f \,x^{8} b^{4}-40 a \,b^{3} f \,x^{6}+45 b^{4} e \,x^{6}+48 a^{2} b^{2} f \,x^{4}-54 a \,b^{3} e \,x^{4}+63 b^{4} d \,x^{4}-64 a^{3} b f \,x^{2}+72 a^{2} b^{2} e \,x^{2}-84 a \,b^{3} d \,x^{2}+105 b^{4} c \,x^{2}+128 a^{4} f -144 a^{3} b e +168 a^{2} b^{2} d -210 a \,b^{3} c \right)}{315 b^{5}}"," ",0,"1/315*(b*x^2+a)^(1/2)*(35*b^4*f*x^8-40*a*b^3*f*x^6+45*b^4*e*x^6+48*a^2*b^2*f*x^4-54*a*b^3*e*x^4+63*b^4*d*x^4-64*a^3*b*f*x^2+72*a^2*b^2*e*x^2-84*a*b^3*d*x^2+105*b^4*c*x^2+128*a^4*f-144*a^3*b*e+168*a^2*b^2*d-210*a*b^3*c)/b^5","A"
171,1,99,107,0.006000," ","int((f*x^7+e*x^5+d*x^3+c*x)/(b*x^2+a)^(1/2),x)","-\frac{\sqrt{b \,x^{2}+a}\, \left(-15 f \,x^{6} b^{3}+18 a \,b^{2} f \,x^{4}-21 b^{3} e \,x^{4}-24 a^{2} b f \,x^{2}+28 a \,b^{2} e \,x^{2}-35 b^{3} d \,x^{2}+48 a^{3} f -56 a^{2} b e +70 a \,b^{2} d -105 b^{3} c \right)}{105 b^{4}}"," ",0,"-1/105*(b*x^2+a)^(1/2)*(-15*b^3*f*x^6+18*a*b^2*f*x^4-21*b^3*e*x^4-24*a^2*b*f*x^2+28*a*b^2*e*x^2-35*b^3*d*x^2+48*a^3*f-56*a^2*b*e+70*a*b^2*d-105*b^3*c)/b^4","A"
172,1,478,235,0.011000," ","int(x^2*(F*x^8+D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","\frac{F \,x^{9}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{D x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}+\frac{9 F a \,x^{7}}{14 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{C \,x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{D x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{9 F a \,x^{5}}{10 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}-\frac{B \,x^{3}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{5 C a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{A x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{3 B a x}{28 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{15 C \,a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{D x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{3 F a \,x^{3}}{2 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{4}}+\frac{A x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a b}+\frac{3 B x}{140 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{3 C a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{4 A x}{105 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}+\frac{B x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}+\frac{C x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{8 A x}{105 \sqrt{b \,x^{2}+a}\, a^{3} b}+\frac{2 B x}{35 \sqrt{b \,x^{2}+a}\, a^{2} b^{2}}+\frac{C x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{D x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{9 F a x}{2 \sqrt{b \,x^{2}+a}\, b^{5}}+\frac{D \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}-\frac{9 F a \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{2 b^{\frac{11}{2}}}"," ",0,"2/35/(b*x^2+a)^(1/2)*B/a^2/b^2*x-1/(b*x^2+a)^(1/2)*D/b^4*x-9/2*F*a/b^(11/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))+1/2*F*x^9/b/(b*x^2+a)^(7/2)-1/7/(b*x^2+a)^(7/2)*D/b*x^7-1/5/(b*x^2+a)^(5/2)*D/b^2*x^5-1/3/(b*x^2+a)^(3/2)*D/b^3*x^3-1/2/(b*x^2+a)^(7/2)*C/b*x^5+1/14/(b*x^2+a)^(3/2)*C/b^3*x-1/4/(b*x^2+a)^(7/2)*B/b*x^3+3/140/(b*x^2+a)^(5/2)*B/b^2*x-1/7/(b*x^2+a)^(7/2)*A/b*x+8/105/(b*x^2+a)^(1/2)*A/a^3/b*x+4/105/(b*x^2+a)^(3/2)*A/a^2/b*x+3/56/(b*x^2+a)^(5/2)*C*a/b^3*x+1/7/(b*x^2+a)^(1/2)*C/a/b^3*x-3/28/(b*x^2+a)^(7/2)*B*a/b^2*x+1/35/(b*x^2+a)^(3/2)*B/a/b^2*x+1/35/(b*x^2+a)^(5/2)*A/a/b*x+9/14*F*a/b^2*x^7/(b*x^2+a)^(7/2)-15/56/(b*x^2+a)^(7/2)*C*a^2/b^3*x+9/2*F*a/b^5*x/(b*x^2+a)^(1/2)+9/10*F*a/b^3*x^5/(b*x^2+a)^(5/2)+3/2*F*a/b^4*x^3/(b*x^2+a)^(3/2)-5/8/(b*x^2+a)^(7/2)*C*a/b^2*x^3+D/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))","B"
173,1,427,194,0.009000," ","int((F*x^8+D*x^6+C*x^4+B*x^2+A)/(b*x^2+a)^(9/2),x)","-\frac{F \,x^{7}}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{D x^{5}}{2 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{F \,x^{5}}{5 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}-\frac{C \,x^{3}}{4 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{5 D a \,x^{3}}{8 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}+\frac{A x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a}-\frac{B x}{7 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b}-\frac{3 C a x}{28 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{2}}-\frac{15 D a^{2} x}{56 \left(b \,x^{2}+a \right)^{\frac{7}{2}} b^{3}}-\frac{F \,x^{3}}{3 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{6 A x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a^{2}}+\frac{B x}{35 \left(b \,x^{2}+a \right)^{\frac{5}{2}} a b}+\frac{3 C x}{140 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{2}}+\frac{3 D a x}{56 \left(b \,x^{2}+a \right)^{\frac{5}{2}} b^{3}}+\frac{8 A x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{3}}+\frac{4 B x}{105 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a^{2} b}+\frac{C x}{35 \left(b \,x^{2}+a \right)^{\frac{3}{2}} a \,b^{2}}+\frac{D x}{14 \left(b \,x^{2}+a \right)^{\frac{3}{2}} b^{3}}+\frac{16 A x}{35 \sqrt{b \,x^{2}+a}\, a^{4}}+\frac{8 B x}{105 \sqrt{b \,x^{2}+a}\, a^{3} b}+\frac{2 C x}{35 \sqrt{b \,x^{2}+a}\, a^{2} b^{2}}+\frac{D x}{7 \sqrt{b \,x^{2}+a}\, a \,b^{3}}-\frac{F x}{\sqrt{b \,x^{2}+a}\, b^{4}}+\frac{F \ln \left(\sqrt{b}\, x +\sqrt{b \,x^{2}+a}\right)}{b^{\frac{9}{2}}}"," ",0,"-1/7*F*x^7/b/(b*x^2+a)^(7/2)-1/5*F/b^2*x^5/(b*x^2+a)^(5/2)-1/3*F/b^3*x^3/(b*x^2+a)^(3/2)-F/b^4*x/(b*x^2+a)^(1/2)+F/b^(9/2)*ln(b^(1/2)*x+(b*x^2+a)^(1/2))-1/2*D*x^5/b/(b*x^2+a)^(7/2)-5/8*D*a/b^2*x^3/(b*x^2+a)^(7/2)-15/56*D*a^2/b^3*x/(b*x^2+a)^(7/2)+3/56*D*a/b^3*x/(b*x^2+a)^(5/2)+1/14*D/b^3*x/(b*x^2+a)^(3/2)+1/7*D/a/b^3*x/(b*x^2+a)^(1/2)-1/4*C*x^3/b/(b*x^2+a)^(7/2)-3/28*C*a/b^2*x/(b*x^2+a)^(7/2)+3/140*C/b^2*x/(b*x^2+a)^(5/2)+1/35*C/a/b^2*x/(b*x^2+a)^(3/2)+2/35*C/a^2/b^2*x/(b*x^2+a)^(1/2)-1/7*B/b*x/(b*x^2+a)^(7/2)+1/35*B/a/b*x/(b*x^2+a)^(5/2)+4/105*B*x/a^2/b/(b*x^2+a)^(3/2)+8/105*B*x/a^3/b/(b*x^2+a)^(1/2)+1/7*A*x/a/(b*x^2+a)^(7/2)+6/35*A/a^2*x/(b*x^2+a)^(5/2)+8/35*A/a^3*x/(b*x^2+a)^(3/2)+16/35*A/a^4*x/(b*x^2+a)^(1/2)","B"
174,1,166,177,0.007000," ","int((F*x^8+D*x^6+C*x^4+B*x^2+A)/x^2/(b*x^2+a)^(9/2),x)","-\frac{384 A \,b^{4} x^{8}-48 B a \,b^{3} x^{8}-8 C \,a^{2} b^{2} x^{8}-6 D a^{3} b \,x^{8}-15 F \,a^{4} x^{8}+1344 A a \,b^{3} x^{6}-168 B \,a^{2} b^{2} x^{6}-28 C \,a^{3} b \,x^{6}-21 D a^{4} x^{6}+1680 A \,a^{2} b^{2} x^{4}-210 B \,a^{3} b \,x^{4}-35 C \,a^{4} x^{4}+840 A \,a^{3} b \,x^{2}-105 B \,a^{4} x^{2}+105 A \,a^{4}}{105 \left(b \,x^{2}+a \right)^{\frac{7}{2}} a^{5} x}"," ",0,"-1/105*(384*A*b^4*x^8-48*B*a*b^3*x^8-8*C*a^2*b^2*x^8-6*D*a^3*b*x^8-15*F*a^4*x^8+1344*A*a*b^3*x^6-168*B*a^2*b^2*x^6-28*C*a^3*b*x^6-21*D*a^4*x^6+1680*A*a^2*b^2*x^4-210*B*a^3*b*x^4-35*C*a^4*x^4+840*A*a^3*b*x^2-105*B*a^4*x^2+105*A*a^4)/(b*x^2+a)^(7/2)/x/a^5","A"